TSTP Solution File: SWV424-1.400 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV424-1.400 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:17:06 EDT 2022
% Result : Unsatisfiable 13.27s 8.99s
% Output : Proof 26.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV424-1.400 : TPTP v8.1.0. Released v3.5.0.
% 0.08/0.15 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Sep 4 03:41:48 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.15/0.37 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.37 Usage: tptp [options] [-file:]file
% 0.15/0.37 -h, -? prints this message.
% 0.15/0.37 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.37 -m, -model generate model.
% 0.15/0.37 -p, -proof generate proof.
% 0.15/0.37 -c, -core generate unsat core of named formulas.
% 0.15/0.37 -st, -statistics display statistics.
% 0.15/0.37 -t:timeout set timeout (in second).
% 0.15/0.37 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.37 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.37 -<param>:<value> configuration parameter and value.
% 0.15/0.37 -o:<output-file> file to place output in.
% 13.27/8.99 % SZS status Unsatisfiable
% 13.27/8.99 % SZS output start Proof
% 13.27/8.99 tff(node2_type, type, (
% 13.27/8.99 node2: ( $i * $i ) > $o)).
% 13.27/8.99 tff(s1_type, type, (
% 13.27/8.99 s1: $i)).
% 13.27/8.99 tff(s399_type, type, (
% 13.27/8.99 s399: $i)).
% 13.27/8.99 tff(trans_type, type, (
% 13.27/8.99 trans: ( $i * $i ) > $o)).
% 13.27/8.99 tff(s3_type, type, (
% 13.27/8.99 s3: $i)).
% 13.27/8.99 tff(m_main_v_request_type, type, (
% 13.27/8.99 m_main_v_request: $i > $o)).
% 13.27/8.99 tff(node4_type, type, (
% 13.27/8.99 node4: $i > $o)).
% 13.27/8.99 tff(s165_type, type, (
% 13.27/8.99 s165: $i)).
% 13.27/8.99 tff(until2p7_type, type, (
% 13.27/8.99 until2p7: $i > $o)).
% 13.27/8.99 tff(xuntil2p8_type, type, (
% 13.27/8.99 xuntil2p8: $i > $o)).
% 13.27/8.99 tff(s164_type, type, (
% 13.27/8.99 s164: $i)).
% 13.27/8.99 tff(s163_type, type, (
% 13.27/8.99 s163: $i)).
% 13.27/8.99 tff(xuntil6_type, type, (
% 13.27/8.99 xuntil6: $i > $o)).
% 13.27/8.99 tff(until5_type, type, (
% 13.27/8.99 until5: $i > $o)).
% 13.27/8.99 tff(s398_type, type, (
% 13.27/8.99 s398: $i)).
% 13.27/8.99 tff(s397_type, type, (
% 13.27/8.99 s397: $i)).
% 13.27/8.99 tff(s396_type, type, (
% 13.27/8.99 s396: $i)).
% 13.27/8.99 tff(m_main_v_state_type, type, (
% 13.27/8.99 m_main_v_state: ( $i * $i ) > $o)).
% 13.27/8.99 tff(c_busy_type, type, (
% 13.27/8.99 c_busy: $i)).
% 13.27/8.99 tff(s395_type, type, (
% 13.27/8.99 s395: $i)).
% 13.27/8.99 tff(s308_type, type, (
% 13.27/8.99 s308: $i)).
% 13.27/8.99 tff(s307_type, type, (
% 13.27/8.99 s307: $i)).
% 13.27/8.99 tff(s305_type, type, (
% 13.27/8.99 s305: $i)).
% 13.27/8.99 tff(s304_type, type, (
% 13.27/8.99 s304: $i)).
% 13.27/8.99 tff(s302_type, type, (
% 13.27/8.99 s302: $i)).
% 13.27/8.99 tff(s301_type, type, (
% 13.27/8.99 s301: $i)).
% 13.27/8.99 tff(s281_type, type, (
% 13.27/8.99 s281: $i)).
% 13.27/8.99 tff(s280_type, type, (
% 13.27/8.99 s280: $i)).
% 13.27/8.99 tff(s184_type, type, (
% 13.27/8.99 s184: $i)).
% 13.27/8.99 tff(s183_type, type, (
% 13.27/8.99 s183: $i)).
% 13.27/8.99 tff(s178_type, type, (
% 13.27/8.99 s178: $i)).
% 13.27/8.99 tff(s177_type, type, (
% 13.27/8.99 s177: $i)).
% 13.27/8.99 tff(s175_type, type, (
% 13.27/8.99 s175: $i)).
% 13.27/8.99 tff(s174_type, type, (
% 13.27/8.99 s174: $i)).
% 13.27/8.99 tff(s173_type, type, (
% 13.27/8.99 s173: $i)).
% 13.27/8.99 tff(s167_type, type, (
% 13.27/8.99 s167: $i)).
% 13.27/8.99 tff(s166_type, type, (
% 13.27/8.99 s166: $i)).
% 13.27/8.99 tff(s162_type, type, (
% 13.27/8.99 s162: $i)).
% 13.27/8.99 tff(s161_type, type, (
% 13.27/8.99 s161: $i)).
% 13.27/8.99 tff(s152_type, type, (
% 13.27/8.99 s152: $i)).
% 13.27/8.99 tff(s151_type, type, (
% 13.27/8.99 s151: $i)).
% 13.27/8.99 tff(s150_type, type, (
% 13.27/8.99 s150: $i)).
% 13.27/8.99 tff(s116_type, type, (
% 13.27/8.99 s116: $i)).
% 13.27/8.99 tff(s115_type, type, (
% 13.27/8.99 s115: $i)).
% 13.27/8.99 tff(s104_type, type, (
% 13.27/8.99 s104: $i)).
% 13.27/8.99 tff(s103_type, type, (
% 13.27/8.99 s103: $i)).
% 13.27/8.99 tff(s94_type, type, (
% 13.27/8.99 s94: $i)).
% 13.27/8.99 tff(s93_type, type, (
% 13.27/8.99 s93: $i)).
% 13.27/8.99 tff(s92_type, type, (
% 13.27/8.99 s92: $i)).
% 13.27/8.99 tff(s91_type, type, (
% 13.27/8.99 s91: $i)).
% 13.27/8.99 tff(s66_type, type, (
% 13.27/8.99 s66: $i)).
% 13.27/8.99 tff(s65_type, type, (
% 13.27/8.99 s65: $i)).
% 13.27/8.99 tff(always3_type, type, (
% 13.27/8.99 always3: $i > $o)).
% 13.27/8.99 tff(c_ready_type, type, (
% 13.27/8.99 c_ready: $i)).
% 13.27/8.99 tff(succ_type, type, (
% 13.27/8.99 succ: ( $i * $i ) > $o)).
% 13.27/8.99 tff(s64_type, type, (
% 13.27/8.99 s64: $i)).
% 13.27/8.99 tff(s63_type, type, (
% 13.27/8.99 s63: $i)).
% 13.27/8.99 tff(s62_type, type, (
% 13.27/8.99 s62: $i)).
% 13.27/8.99 tff(s56_type, type, (
% 13.27/8.99 s56: $i)).
% 13.27/8.99 tff(s55_type, type, (
% 13.27/8.99 s55: $i)).
% 13.27/8.99 tff(s54_type, type, (
% 13.27/8.99 s54: $i)).
% 13.27/8.99 tff(s53_type, type, (
% 13.27/8.99 s53: $i)).
% 13.27/8.99 tff(s52_type, type, (
% 13.27/8.99 s52: $i)).
% 13.27/8.99 tff(s51_type, type, (
% 13.27/8.99 s51: $i)).
% 13.27/8.99 tff(s42_type, type, (
% 13.27/8.99 s42: $i)).
% 13.27/8.99 tff(s41_type, type, (
% 13.27/8.99 s41: $i)).
% 13.27/8.99 tff(s40_type, type, (
% 13.27/8.99 s40: $i)).
% 13.27/8.99 tff(s39_type, type, (
% 13.27/8.99 s39: $i)).
% 13.27/8.99 tff(s38_type, type, (
% 13.27/8.99 s38: $i)).
% 13.27/8.99 tff(s37_type, type, (
% 13.27/8.99 s37: $i)).
% 13.27/8.99 tff(s28_type, type, (
% 13.27/8.99 s28: $i)).
% 13.27/8.99 tff(s29_type, type, (
% 13.27/8.99 s29: $i)).
% 13.27/8.99 tff(s32_type, type, (
% 13.27/8.99 s32: $i)).
% 13.27/8.99 tff(s33_type, type, (
% 13.27/8.99 s33: $i)).
% 13.27/8.99 tff(s30_type, type, (
% 13.27/8.99 s30: $i)).
% 13.27/8.99 tff(s31_type, type, (
% 13.27/8.99 s31: $i)).
% 13.27/8.99 tff(s34_type, type, (
% 13.27/8.99 s34: $i)).
% 13.27/8.99 tff(s35_type, type, (
% 13.27/8.99 s35: $i)).
% 13.27/8.99 tff(s36_type, type, (
% 13.27/8.99 s36: $i)).
% 13.27/8.99 tff(s16_type, type, (
% 13.27/8.99 s16: $i)).
% 13.27/8.99 tff(s15_type, type, (
% 13.27/8.99 s15: $i)).
% 13.27/8.99 tff(s14_type, type, (
% 13.27/8.99 s14: $i)).
% 13.27/8.99 tff(s13_type, type, (
% 13.27/8.99 s13: $i)).
% 13.27/8.99 tff(s12_type, type, (
% 13.27/8.99 s12: $i)).
% 13.27/8.99 tff(s11_type, type, (
% 13.27/8.99 s11: $i)).
% 13.27/8.99 tff(s10_type, type, (
% 13.27/8.99 s10: $i)).
% 13.27/8.99 tff(s9_type, type, (
% 13.27/8.99 s9: $i)).
% 13.27/8.99 tff(s8_type, type, (
% 13.27/8.99 s8: $i)).
% 13.27/8.99 tff(s7_type, type, (
% 13.27/8.99 s7: $i)).
% 13.27/8.99 tff(s6_type, type, (
% 13.27/8.99 s6: $i)).
% 13.27/8.99 tff(s5_type, type, (
% 13.27/8.99 s5: $i)).
% 13.27/8.99 tff(s4_type, type, (
% 13.27/8.99 s4: $i)).
% 13.27/8.99 tff(s2_type, type, (
% 13.27/8.99 s2: $i)).
% 13.27/8.99 tff(s0_type, type, (
% 13.27/8.99 s0: $i)).
% 13.27/8.99 tff(s27_type, type, (
% 13.27/8.99 s27: $i)).
% 13.27/8.99 tff(s26_type, type, (
% 13.27/8.99 s26: $i)).
% 13.27/8.99 tff(s25_type, type, (
% 13.27/8.99 s25: $i)).
% 13.27/8.99 tff(s24_type, type, (
% 13.27/8.99 s24: $i)).
% 13.27/8.99 tff(s23_type, type, (
% 13.27/8.99 s23: $i)).
% 13.27/8.99 tff(s22_type, type, (
% 13.27/8.99 s22: $i)).
% 13.27/8.99 tff(s21_type, type, (
% 13.27/8.99 s21: $i)).
% 13.27/8.99 tff(s20_type, type, (
% 13.27/8.99 s20: $i)).
% 13.27/8.99 tff(s19_type, type, (
% 13.27/8.99 s19: $i)).
% 13.27/8.99 tff(s18_type, type, (
% 13.27/8.99 s18: $i)).
% 13.27/8.99 tff(s17_type, type, (
% 13.27/8.99 s17: $i)).
% 13.27/8.99 tff(s50_type, type, (
% 13.27/8.99 s50: $i)).
% 13.27/8.99 tff(s49_type, type, (
% 13.27/8.99 s49: $i)).
% 13.27/8.99 tff(s46_type, type, (
% 13.27/8.99 s46: $i)).
% 13.27/8.99 tff(s45_type, type, (
% 13.27/8.99 s45: $i)).
% 13.27/8.99 tff(s44_type, type, (
% 13.27/8.99 s44: $i)).
% 13.27/8.99 tff(s43_type, type, (
% 13.27/8.99 s43: $i)).
% 13.27/8.99 tff(s47_type, type, (
% 13.27/8.99 s47: $i)).
% 13.27/8.99 tff(s48_type, type, (
% 13.27/8.99 s48: $i)).
% 13.27/8.99 tff(node1_type, type, (
% 13.27/8.99 node1: $i > $o)).
% 13.27/8.99 tff(s57_type, type, (
% 13.27/8.99 s57: $i)).
% 13.27/8.99 tff(s58_type, type, (
% 13.27/8.99 s58: $i)).
% 13.27/8.99 tff(s59_type, type, (
% 13.27/8.99 s59: $i)).
% 13.27/8.99 tff(s60_type, type, (
% 13.27/8.99 s60: $i)).
% 13.27/8.99 tff(s61_type, type, (
% 13.27/8.99 s61: $i)).
% 13.27/8.99 tff(s81_type, type, (
% 13.27/8.99 s81: $i)).
% 13.27/8.99 tff(s80_type, type, (
% 13.27/8.99 s80: $i)).
% 13.27/8.99 tff(s79_type, type, (
% 13.27/8.99 s79: $i)).
% 13.27/8.99 tff(s78_type, type, (
% 13.27/8.99 s78: $i)).
% 13.27/8.99 tff(s77_type, type, (
% 13.27/8.99 s77: $i)).
% 13.27/8.99 tff(s76_type, type, (
% 13.27/8.99 s76: $i)).
% 13.27/8.99 tff(s75_type, type, (
% 13.27/8.99 s75: $i)).
% 13.27/8.99 tff(s74_type, type, (
% 13.27/8.99 s74: $i)).
% 13.27/8.99 tff(s73_type, type, (
% 13.27/8.99 s73: $i)).
% 13.27/8.99 tff(s72_type, type, (
% 13.27/8.99 s72: $i)).
% 13.27/8.99 tff(s71_type, type, (
% 13.27/8.99 s71: $i)).
% 13.27/8.99 tff(s70_type, type, (
% 13.27/8.99 s70: $i)).
% 13.27/8.99 tff(s69_type, type, (
% 13.27/8.99 s69: $i)).
% 13.27/8.99 tff(s68_type, type, (
% 13.27/8.99 s68: $i)).
% 13.27/8.99 tff(s67_type, type, (
% 13.27/8.99 s67: $i)).
% 13.27/8.99 tff(s82_type, type, (
% 13.27/8.99 s82: $i)).
% 13.27/8.99 tff(s83_type, type, (
% 13.27/8.99 s83: $i)).
% 13.27/8.99 tff(s84_type, type, (
% 13.27/8.99 s84: $i)).
% 13.27/8.99 tff(s85_type, type, (
% 13.27/8.99 s85: $i)).
% 13.27/8.99 tff(s86_type, type, (
% 13.27/8.99 s86: $i)).
% 13.27/8.99 tff(s87_type, type, (
% 13.27/8.99 s87: $i)).
% 13.27/8.99 tff(s88_type, type, (
% 13.27/8.99 s88: $i)).
% 13.27/8.99 tff(s89_type, type, (
% 13.27/8.99 s89: $i)).
% 13.27/8.99 tff(s90_type, type, (
% 13.27/8.99 s90: $i)).
% 13.27/8.99 tff(s95_type, type, (
% 13.27/8.99 s95: $i)).
% 13.27/8.99 tff(s102_type, type, (
% 13.27/8.99 s102: $i)).
% 13.27/8.99 tff(s96_type, type, (
% 13.27/8.99 s96: $i)).
% 13.27/8.99 tff(s100_type, type, (
% 13.27/8.99 s100: $i)).
% 13.27/8.99 tff(s101_type, type, (
% 13.27/8.99 s101: $i)).
% 13.27/8.99 tff(s98_type, type, (
% 13.27/8.99 s98: $i)).
% 13.27/8.99 tff(s97_type, type, (
% 13.27/8.99 s97: $i)).
% 13.27/8.99 tff(s99_type, type, (
% 13.27/8.99 s99: $i)).
% 13.27/8.99 tff(s114_type, type, (
% 13.27/8.99 s114: $i)).
% 13.27/8.99 tff(s113_type, type, (
% 13.27/8.99 s113: $i)).
% 13.27/8.99 tff(s112_type, type, (
% 13.27/8.99 s112: $i)).
% 13.27/8.99 tff(s111_type, type, (
% 13.27/8.99 s111: $i)).
% 13.27/8.99 tff(s110_type, type, (
% 13.27/8.99 s110: $i)).
% 13.27/8.99 tff(s109_type, type, (
% 13.27/8.99 s109: $i)).
% 13.27/8.99 tff(s105_type, type, (
% 13.27/8.99 s105: $i)).
% 13.27/8.99 tff(s106_type, type, (
% 13.27/8.99 s106: $i)).
% 13.27/8.99 tff(s107_type, type, (
% 13.27/8.99 s107: $i)).
% 13.27/8.99 tff(s108_type, type, (
% 13.27/8.99 s108: $i)).
% 13.27/8.99 tff(s143_type, type, (
% 13.27/8.99 s143: $i)).
% 13.27/8.99 tff(s142_type, type, (
% 13.27/8.99 s142: $i)).
% 13.27/8.99 tff(s144_type, type, (
% 13.27/8.99 s144: $i)).
% 13.27/8.99 tff(s141_type, type, (
% 13.27/8.99 s141: $i)).
% 13.27/8.99 tff(s147_type, type, (
% 13.27/8.99 s147: $i)).
% 13.27/8.99 tff(s148_type, type, (
% 13.27/8.99 s148: $i)).
% 13.27/8.99 tff(s149_type, type, (
% 13.27/8.99 s149: $i)).
% 13.27/8.99 tff(s133_type, type, (
% 13.27/8.99 s133: $i)).
% 13.27/8.99 tff(s134_type, type, (
% 13.27/8.99 s134: $i)).
% 13.27/8.99 tff(s135_type, type, (
% 13.27/8.99 s135: $i)).
% 13.27/8.99 tff(s136_type, type, (
% 13.27/8.99 s136: $i)).
% 13.27/8.99 tff(s137_type, type, (
% 13.27/8.99 s137: $i)).
% 13.27/8.99 tff(s138_type, type, (
% 13.27/8.99 s138: $i)).
% 13.27/8.99 tff(s139_type, type, (
% 13.27/8.99 s139: $i)).
% 13.27/8.99 tff(s140_type, type, (
% 13.27/8.99 s140: $i)).
% 13.27/8.99 tff(s145_type, type, (
% 13.27/8.99 s145: $i)).
% 13.27/8.99 tff(s146_type, type, (
% 13.27/8.99 s146: $i)).
% 13.27/8.99 tff(s132_type, type, (
% 13.27/8.99 s132: $i)).
% 13.27/8.99 tff(s131_type, type, (
% 13.27/8.99 s131: $i)).
% 13.27/8.99 tff(s130_type, type, (
% 13.27/8.99 s130: $i)).
% 13.27/8.99 tff(s129_type, type, (
% 13.27/8.99 s129: $i)).
% 13.27/8.99 tff(s128_type, type, (
% 13.27/8.99 s128: $i)).
% 13.27/8.99 tff(s127_type, type, (
% 13.27/8.99 s127: $i)).
% 13.27/8.99 tff(s126_type, type, (
% 13.27/8.99 s126: $i)).
% 13.27/8.99 tff(s125_type, type, (
% 13.27/8.99 s125: $i)).
% 13.27/8.99 tff(s124_type, type, (
% 13.27/8.99 s124: $i)).
% 13.27/8.99 tff(s123_type, type, (
% 13.27/8.99 s123: $i)).
% 13.27/8.99 tff(s122_type, type, (
% 13.27/8.99 s122: $i)).
% 13.27/8.99 tff(s121_type, type, (
% 13.27/8.99 s121: $i)).
% 13.27/8.99 tff(s120_type, type, (
% 13.27/8.99 s120: $i)).
% 13.27/8.99 tff(s119_type, type, (
% 13.27/8.99 s119: $i)).
% 13.27/8.99 tff(s118_type, type, (
% 13.27/8.99 s118: $i)).
% 13.27/8.99 tff(s117_type, type, (
% 13.27/8.99 s117: $i)).
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% 13.27/8.99 tff(s309_type, type, (
% 13.27/8.99 s309: $i)).
% 13.27/8.99 tff(last_type, type, (
% 13.27/8.99 last: $i > $o)).
% 13.27/8.99 tff(loop_type, type, (
% 13.27/8.99 loop: $o)).
% 13.27/8.99 tff(1,plain,
% 13.27/8.99 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node2(X, Y)) <=> ((~trans(X, Y)) | node2(X, Y)))),
% 13.27/8.99 inference(bind,[status(th)],[])).
% 13.27/8.99 tff(2,plain,
% 13.27/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 13.27/8.99 inference(quant_intro,[status(thm)],[1])).
% 13.27/8.99 tff(3,plain,
% 13.27/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(4,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_8')).
% 13.27/8.99 tff(5,plain,
% 13.27/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[4, 3])).
% 13.27/8.99 tff(6,plain,(
% 13.27/8.99 ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 13.27/8.99 inference(skolemize,[status(sab)],[5])).
% 13.27/8.99 tff(7,plain,
% 13.27/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[6, 2])).
% 13.27/8.99 tff(8,assumption,(trans(s399, s3)), introduced(assumption)).
% 13.27/8.99 tff(9,plain,
% 13.27/8.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s399, s3)) | node2(s399, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s399, s3)) | node2(s399, s3))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(10,plain,
% 13.27/8.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s399, s3)) | node2(s399, s3))),
% 13.27/8.99 inference(quant_inst,[status(thm)],[])).
% 13.27/8.99 tff(11,plain,
% 13.27/8.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s399, s3)) | node2(s399, s3)),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[10, 9])).
% 13.27/8.99 tff(12,plain,
% 13.27/8.99 (node2(s399, s3)),
% 13.27/8.99 inference(unit_resolution,[status(thm)],[11, 8, 7])).
% 13.27/8.99 tff(13,assumption,(~m_main_v_request(s399)), introduced(assumption)).
% 13.27/8.99 tff(14,assumption,(node4(s399)), introduced(assumption)).
% 13.27/8.99 tff(15,plain,
% 13.27/8.99 (^[X: $i] : refl((m_main_v_request(X) | (~node4(X))) <=> (m_main_v_request(X) | (~node4(X))))),
% 13.27/8.99 inference(bind,[status(th)],[])).
% 13.27/8.99 tff(16,plain,
% 13.27/8.99 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 13.27/8.99 inference(quant_intro,[status(thm)],[15])).
% 13.27/8.99 tff(17,plain,
% 13.27/8.99 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(18,axiom,(![X: $i] : (m_main_v_request(X) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty4')).
% 13.27/8.99 tff(19,plain,
% 13.27/8.99 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[18, 17])).
% 13.27/8.99 tff(20,plain,(
% 13.27/8.99 ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 13.27/8.99 inference(skolemize,[status(sab)],[19])).
% 13.27/8.99 tff(21,plain,
% 13.27/8.99 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[20, 16])).
% 13.27/8.99 tff(22,plain,
% 13.27/8.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s399) | (~node4(s399)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s399) | (~node4(s399)))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(23,plain,
% 13.27/8.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s399) | (~node4(s399)))),
% 13.27/8.99 inference(quant_inst,[status(thm)],[])).
% 13.27/8.99 tff(24,plain,
% 13.27/8.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s399) | (~node4(s399))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[23, 22])).
% 13.27/8.99 tff(25,plain,
% 13.27/8.99 ($false),
% 13.27/8.99 inference(unit_resolution,[status(thm)],[24, 21, 14, 13])).
% 13.27/8.99 tff(26,plain,((~node4(s399)) | m_main_v_request(s399)), inference(lemma,lemma(discharge,[]))).
% 13.27/8.99 tff(27,plain,
% 13.27/8.99 (~node4(s399)),
% 13.27/8.99 inference(unit_resolution,[status(thm)],[26, 13])).
% 13.27/8.99 tff(28,assumption,(~xuntil6(s396)), introduced(assumption)).
% 13.27/8.99 tff(29,assumption,(node4(s65)), introduced(assumption)).
% 13.27/8.99 tff(30,plain,
% 13.27/8.99 (^[X: $i] : refl((always3(X) | (~node4(X))) <=> (always3(X) | (~node4(X))))),
% 13.27/8.99 inference(bind,[status(th)],[])).
% 13.27/8.99 tff(31,plain,
% 13.27/8.99 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 13.27/8.99 inference(quant_intro,[status(thm)],[30])).
% 13.27/8.99 tff(32,plain,
% 13.27/8.99 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(33,axiom,(![X: $i] : (always3(X) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty5')).
% 13.27/8.99 tff(34,plain,
% 13.27/8.99 (![X: $i] : (always3(X) | (~node4(X)))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[33, 32])).
% 13.27/8.99 tff(35,plain,(
% 13.27/8.99 ![X: $i] : (always3(X) | (~node4(X)))),
% 13.27/8.99 inference(skolemize,[status(sab)],[34])).
% 13.27/8.99 tff(36,plain,
% 13.27/8.99 (![X: $i] : (always3(X) | (~node4(X)))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[35, 31])).
% 13.27/8.99 tff(37,plain,
% 13.27/8.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65)))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(38,plain,
% 13.27/8.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))),
% 13.27/8.99 inference(quant_inst,[status(thm)],[])).
% 13.27/8.99 tff(39,plain,
% 13.27/8.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[38, 37])).
% 13.27/8.99 tff(40,plain,
% 13.27/8.99 (always3(s65)),
% 13.27/8.99 inference(unit_resolution,[status(thm)],[39, 36, 29])).
% 13.27/8.99 tff(41,assumption,(~m_main_v_state(s66, c_busy)), introduced(assumption)).
% 13.27/8.99 tff(42,plain,
% 13.27/8.99 (((~![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)))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(43,plain,
% 13.27/8.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s65) | (~node4(s65)))),
% 13.27/8.99 inference(quant_inst,[status(thm)],[])).
% 13.27/8.99 tff(44,plain,
% 13.27/8.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s65) | (~node4(s65))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[43, 42])).
% 13.27/8.99 tff(45,plain,
% 13.27/8.99 (m_main_v_request(s65)),
% 13.27/8.99 inference(unit_resolution,[status(thm)],[44, 21, 29])).
% 13.27/8.99 tff(46,plain,
% 13.27/8.99 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 13.27/8.99 inference(bind,[status(th)],[])).
% 13.27/8.99 tff(47,plain,
% 13.27/8.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 13.27/8.99 inference(quant_intro,[status(thm)],[46])).
% 13.27/8.99 tff(48,plain,
% 13.27/8.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(49,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound401')).
% 13.27/8.99 tff(50,plain,
% 13.27/8.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[49, 48])).
% 13.27/8.99 tff(51,plain,(
% 13.27/8.99 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 13.27/8.99 inference(skolemize,[status(sab)],[50])).
% 13.27/8.99 tff(52,plain,
% 13.27/8.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[51, 47])).
% 13.27/8.99 tff(53,plain,
% 13.27/8.99 (succ(s65, s66) <=> succ(s65, s66)),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(54,axiom,(succ(s65, s66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound66')).
% 13.27/8.99 tff(55,plain,
% 13.27/8.99 (succ(s65, s66)),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[54, 53])).
% 13.27/8.99 tff(56,plain,
% 13.27/8.99 (((~![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))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(57,plain,
% 13.27/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 13.27/8.99 inference(quant_inst,[status(thm)],[])).
% 13.27/8.99 tff(58,plain,
% 13.27/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[57, 56])).
% 13.27/8.99 tff(59,plain,
% 13.27/8.99 (trans(s65, s66)),
% 13.27/8.99 inference(unit_resolution,[status(thm)],[58, 55, 52])).
% 13.27/8.99 tff(60,plain,
% 13.27/8.99 (((~![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))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(61,plain,
% 13.27/8.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s65, s66)) | node2(s65, s66))),
% 13.27/8.99 inference(quant_inst,[status(thm)],[])).
% 13.27/8.99 tff(62,plain,
% 13.27/8.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s65, s66)) | node2(s65, s66)),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[61, 60])).
% 13.27/8.99 tff(63,plain,
% 13.27/8.99 (node2(s65, s66)),
% 13.27/8.99 inference(unit_resolution,[status(thm)],[62, 7, 59])).
% 13.27/8.99 tff(64,plain,
% 13.27/8.99 (^[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))))),
% 13.27/8.99 inference(bind,[status(th)],[])).
% 13.27/8.99 tff(65,plain,
% 13.27/8.99 (![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)))),
% 13.27/8.99 inference(quant_intro,[status(thm)],[64])).
% 13.27/8.99 tff(66,plain,
% 13.27/8.99 (![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)))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(67,plain,
% 13.27/8.99 (^[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)))))),
% 13.27/8.99 inference(bind,[status(th)],[])).
% 13.27/8.99 tff(68,plain,
% 13.27/8.99 (![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)))),
% 13.27/8.99 inference(quant_intro,[status(thm)],[67])).
% 13.27/8.99 tff(69,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 13.27/8.99 tff(70,plain,
% 13.27/8.99 (![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)))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[69, 68])).
% 13.27/8.99 tff(71,plain,
% 13.27/8.99 (![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)))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[70, 66])).
% 13.27/8.99 tff(72,plain,(
% 13.27/8.99 ![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)))),
% 13.27/8.99 inference(skolemize,[status(sab)],[71])).
% 13.27/8.99 tff(73,plain,
% 13.27/8.99 (![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)))),
% 13.27/8.99 inference(modus_ponens,[status(thm)],[72, 65])).
% 13.27/8.99 tff(74,plain,
% 13.27/8.99 (((~![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(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)))),
% 13.27/8.99 inference(rewrite,[status(thm)],[])).
% 13.27/8.99 tff(75,plain,
% 13.27/8.99 ((~![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(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(76,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[75, 74])).
% 13.27/9.00 tff(77,plain,
% 13.27/9.00 ((~m_main_v_state(s65, c_ready)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65))),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[76, 73, 63])).
% 13.27/9.00 tff(78,plain,
% 13.27/9.00 (~m_main_v_state(s65, c_ready)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[77, 45, 41])).
% 13.27/9.00 tff(79,plain,
% 13.27/9.00 (^[X: $i] : refl(((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ((~m_main_v_state(X, c_busy)) | (~always3(X))))),
% 13.27/9.00 inference(bind,[status(th)],[])).
% 13.27/9.00 tff(80,plain,
% 13.27/9.00 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 13.27/9.00 inference(quant_intro,[status(thm)],[79])).
% 13.27/9.00 tff(81,plain,
% 13.27/9.00 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(82,axiom,(![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty1')).
% 13.27/9.00 tff(83,plain,
% 13.27/9.00 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[82, 81])).
% 13.27/9.00 tff(84,plain,(
% 13.27/9.00 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 13.27/9.00 inference(skolemize,[status(sab)],[83])).
% 13.27/9.00 tff(85,plain,
% 13.27/9.00 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[84, 80])).
% 13.27/9.00 tff(86,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(87,plain,
% 13.27/9.00 (((~m_main_v_state(s65, c_busy)) | (~always3(s65))) <=> ((~always3(s65)) | (~m_main_v_state(s65, c_busy)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(88,plain,
% 13.27/9.00 (((~![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))))),
% 13.27/9.00 inference(monotonicity,[status(thm)],[87])).
% 13.27/9.00 tff(89,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(transitivity,[status(thm)],[88, 86])).
% 13.27/9.00 tff(90,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s65, c_busy)) | (~always3(s65)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(91,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s65)) | (~m_main_v_state(s65, c_busy))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[90, 89])).
% 13.27/9.00 tff(92,plain,
% 13.27/9.00 (~m_main_v_state(s65, c_busy)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[91, 85, 40])).
% 13.27/9.00 tff(93,plain,
% 13.27/9.00 (^[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)))),
% 13.27/9.00 inference(bind,[status(th)],[])).
% 13.27/9.00 tff(94,plain,
% 13.27/9.00 (![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))),
% 13.27/9.00 inference(quant_intro,[status(thm)],[93])).
% 13.27/9.00 tff(95,plain,
% 13.27/9.00 (![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(96,plain,
% 13.27/9.00 (^[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)))),
% 13.27/9.00 inference(bind,[status(th)],[])).
% 13.27/9.00 tff(97,plain,
% 13.27/9.00 (![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))),
% 13.27/9.00 inference(quant_intro,[status(thm)],[96])).
% 13.27/9.00 tff(98,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_1')).
% 13.27/9.00 tff(99,plain,
% 13.27/9.00 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[98, 97])).
% 13.27/9.00 tff(100,plain,
% 13.27/9.00 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[99, 95])).
% 13.27/9.00 tff(101,plain,(
% 13.27/9.00 ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 13.27/9.00 inference(skolemize,[status(sab)],[100])).
% 13.27/9.00 tff(102,plain,
% 13.27/9.00 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[101, 94])).
% 13.27/9.00 tff(103,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(104,plain,
% 13.27/9.00 ((~![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))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(105,plain,
% 13.27/9.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[104, 103])).
% 13.27/9.00 tff(106,plain,
% 13.27/9.00 ($false),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[105, 102, 92, 78])).
% 13.27/9.00 tff(107,plain,((~node4(s65)) | m_main_v_state(s66, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.27/9.00 tff(108,plain,
% 13.27/9.00 (m_main_v_state(s66, c_busy)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[107, 29])).
% 13.27/9.00 tff(109,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(110,plain,
% 13.27/9.00 (((~m_main_v_state(s66, c_busy)) | (~always3(s66))) <=> ((~always3(s66)) | (~m_main_v_state(s66, c_busy)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(111,plain,
% 13.27/9.00 (((~![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))))),
% 13.27/9.00 inference(monotonicity,[status(thm)],[110])).
% 13.27/9.00 tff(112,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(transitivity,[status(thm)],[111, 109])).
% 13.27/9.00 tff(113,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s66, c_busy)) | (~always3(s66)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(114,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s66)) | (~m_main_v_state(s66, c_busy))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[113, 112])).
% 13.27/9.00 tff(115,plain,
% 13.27/9.00 (~always3(s66)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[114, 85, 108])).
% 13.27/9.00 tff(116,plain,
% 13.27/9.00 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 13.27/9.00 inference(bind,[status(th)],[])).
% 13.27/9.00 tff(117,plain,
% 13.27/9.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 13.27/9.00 inference(quant_intro,[status(thm)],[116])).
% 13.27/9.00 tff(118,plain,
% 13.27/9.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(119,plain,
% 13.27/9.00 (^[Y: $i, X: $i] : rewrite(((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 13.27/9.00 inference(bind,[status(th)],[])).
% 13.27/9.00 tff(120,plain,
% 13.27/9.00 (![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 13.27/9.00 inference(quant_intro,[status(thm)],[119])).
% 13.27/9.00 tff(121,axiom,(![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty2')).
% 13.27/9.00 tff(122,plain,
% 13.27/9.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[121, 120])).
% 13.27/9.00 tff(123,plain,
% 13.27/9.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[122, 118])).
% 13.27/9.00 tff(124,plain,(
% 13.27/9.00 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 13.27/9.00 inference(skolemize,[status(sab)],[123])).
% 13.27/9.00 tff(125,plain,
% 13.27/9.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[124, 117])).
% 13.27/9.00 tff(126,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(127,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s65, s66)) | (~always3(s65)) | always3(s66))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(128,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s65, s66)) | (~always3(s65)) | always3(s66)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[127, 126])).
% 13.27/9.00 tff(129,plain,
% 13.27/9.00 ((~always3(s65)) | always3(s66)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[128, 125, 59])).
% 13.27/9.00 tff(130,plain,
% 13.27/9.00 ($false),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[129, 115, 40])).
% 13.27/9.00 tff(131,plain,(~node4(s65)), inference(lemma,lemma(discharge,[]))).
% 13.27/9.00 tff(132,assumption,(node4(s28)), introduced(assumption)).
% 13.27/9.00 tff(133,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(134,plain,
% 13.27/9.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(135,plain,
% 13.27/9.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[134, 133])).
% 13.27/9.00 tff(136,plain,
% 13.27/9.00 (m_main_v_request(s28)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[135, 21, 132])).
% 13.27/9.00 tff(137,plain,
% 13.27/9.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(138,plain,
% 13.27/9.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(139,plain,
% 13.27/9.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[138, 137])).
% 13.27/9.00 tff(140,plain,
% 13.27/9.00 (always3(s28)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[139, 36, 132])).
% 13.27/9.00 tff(141,plain,
% 13.27/9.00 (succ(s28, s29) <=> succ(s28, s29)),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(142,axiom,(succ(s28, s29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound29')).
% 13.27/9.00 tff(143,plain,
% 13.27/9.00 (succ(s28, s29)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[142, 141])).
% 13.27/9.00 tff(144,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(145,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(146,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[145, 144])).
% 13.27/9.00 tff(147,plain,
% 13.27/9.00 (trans(s28, s29)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[146, 143, 52])).
% 13.27/9.00 tff(148,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(149,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(150,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[149, 148])).
% 13.27/9.00 tff(151,plain,
% 13.27/9.00 ((~always3(s28)) | always3(s29)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[150, 125, 147])).
% 13.27/9.00 tff(152,plain,
% 13.27/9.00 (always3(s29)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[151, 140])).
% 13.27/9.00 tff(153,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(154,plain,
% 13.27/9.00 (((~m_main_v_state(s29, c_busy)) | (~always3(s29))) <=> ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(155,plain,
% 13.27/9.00 (((~![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))))),
% 13.27/9.00 inference(monotonicity,[status(thm)],[154])).
% 13.27/9.00 tff(156,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(transitivity,[status(thm)],[155, 153])).
% 13.27/9.00 tff(157,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(158,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[157, 156])).
% 13.27/9.00 tff(159,plain,
% 13.27/9.00 (~m_main_v_state(s29, c_busy)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[158, 85, 152])).
% 13.27/9.00 tff(160,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(161,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(162,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[161, 160])).
% 13.27/9.00 tff(163,plain,
% 13.27/9.00 (node2(s28, s29)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[162, 7, 147])).
% 13.27/9.00 tff(164,plain,
% 13.27/9.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(165,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(166,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[165, 164])).
% 13.27/9.00 tff(167,plain,
% 13.27/9.00 ((~m_main_v_state(s28, c_ready)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[166, 73, 163])).
% 13.27/9.00 tff(168,plain,
% 13.27/9.00 (~m_main_v_state(s28, c_ready)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[167, 159, 136])).
% 13.27/9.00 tff(169,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(170,plain,
% 13.27/9.00 (((~m_main_v_state(s28, c_busy)) | (~always3(s28))) <=> ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(171,plain,
% 13.27/9.00 (((~![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))))),
% 13.27/9.00 inference(monotonicity,[status(thm)],[170])).
% 13.27/9.00 tff(172,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(transitivity,[status(thm)],[171, 169])).
% 13.27/9.00 tff(173,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(174,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[173, 172])).
% 13.27/9.00 tff(175,plain,
% 13.27/9.00 (~m_main_v_state(s28, c_busy)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[174, 85, 140])).
% 13.27/9.00 tff(176,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(177,plain,
% 13.27/9.00 ((~![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))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(178,plain,
% 13.27/9.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[177, 176])).
% 13.27/9.00 tff(179,plain,
% 13.27/9.00 ($false),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[178, 102, 175, 168])).
% 13.27/9.00 tff(180,plain,(~node4(s28)), inference(lemma,lemma(discharge,[]))).
% 13.27/9.00 tff(181,assumption,(node4(s32)), introduced(assumption)).
% 13.27/9.00 tff(182,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(183,plain,
% 13.27/9.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(184,plain,
% 13.27/9.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[183, 182])).
% 13.27/9.00 tff(185,plain,
% 13.27/9.00 (m_main_v_request(s32)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[184, 21, 181])).
% 13.27/9.00 tff(186,plain,
% 13.27/9.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(187,plain,
% 13.27/9.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(188,plain,
% 13.27/9.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[187, 186])).
% 13.27/9.00 tff(189,plain,
% 13.27/9.00 (always3(s32)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[188, 36, 181])).
% 13.27/9.00 tff(190,plain,
% 13.27/9.00 (succ(s32, s33) <=> succ(s32, s33)),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(191,axiom,(succ(s32, s33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound33')).
% 13.27/9.00 tff(192,plain,
% 13.27/9.00 (succ(s32, s33)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[191, 190])).
% 13.27/9.00 tff(193,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(194,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(195,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[194, 193])).
% 13.27/9.00 tff(196,plain,
% 13.27/9.00 (trans(s32, s33)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[195, 192, 52])).
% 13.27/9.00 tff(197,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(198,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(199,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[198, 197])).
% 13.27/9.00 tff(200,plain,
% 13.27/9.00 ((~always3(s32)) | always3(s33)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[199, 125, 196])).
% 13.27/9.00 tff(201,plain,
% 13.27/9.00 (always3(s33)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[200, 189])).
% 13.27/9.00 tff(202,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(203,plain,
% 13.27/9.00 (((~m_main_v_state(s33, c_busy)) | (~always3(s33))) <=> ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(204,plain,
% 13.27/9.00 (((~![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))))),
% 13.27/9.00 inference(monotonicity,[status(thm)],[203])).
% 13.27/9.00 tff(205,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(transitivity,[status(thm)],[204, 202])).
% 13.27/9.00 tff(206,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(207,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[206, 205])).
% 13.27/9.00 tff(208,plain,
% 13.27/9.00 (~m_main_v_state(s33, c_busy)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[207, 85, 201])).
% 13.27/9.00 tff(209,plain,
% 13.27/9.00 (((~![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))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(210,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(211,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33)),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[210, 209])).
% 13.27/9.00 tff(212,plain,
% 13.27/9.00 (node2(s32, s33)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[211, 7, 196])).
% 13.27/9.00 tff(213,plain,
% 13.27/9.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(214,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(215,plain,
% 13.27/9.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[214, 213])).
% 13.27/9.00 tff(216,plain,
% 13.27/9.00 ((~m_main_v_state(s32, c_ready)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[215, 73, 212])).
% 13.27/9.00 tff(217,plain,
% 13.27/9.00 (~m_main_v_state(s32, c_ready)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[216, 208, 185])).
% 13.27/9.00 tff(218,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(219,plain,
% 13.27/9.00 (((~m_main_v_state(s32, c_busy)) | (~always3(s32))) <=> ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 13.27/9.00 inference(rewrite,[status(thm)],[])).
% 13.27/9.00 tff(220,plain,
% 13.27/9.00 (((~![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))))),
% 13.27/9.00 inference(monotonicity,[status(thm)],[219])).
% 13.27/9.00 tff(221,plain,
% 13.27/9.00 (((~![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)))),
% 13.27/9.00 inference(transitivity,[status(thm)],[220, 218])).
% 13.27/9.00 tff(222,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))),
% 13.27/9.00 inference(quant_inst,[status(thm)],[])).
% 13.27/9.00 tff(223,plain,
% 13.27/9.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy))),
% 13.27/9.00 inference(modus_ponens,[status(thm)],[222, 221])).
% 13.27/9.00 tff(224,plain,
% 13.27/9.00 (~m_main_v_state(s32, c_busy)),
% 13.27/9.00 inference(unit_resolution,[status(thm)],[223, 85, 189])).
% 13.27/9.00 tff(225,plain,
% 13.27/9.00 (((~![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))),
% 13.30/9.00 inference(rewrite,[status(thm)],[])).
% 13.30/9.00 tff(226,plain,
% 13.30/9.00 ((~![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))),
% 13.30/9.00 inference(quant_inst,[status(thm)],[])).
% 13.30/9.00 tff(227,plain,
% 13.30/9.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready)),
% 13.30/9.00 inference(modus_ponens,[status(thm)],[226, 225])).
% 13.30/9.00 tff(228,plain,
% 13.30/9.00 ($false),
% 13.30/9.00 inference(unit_resolution,[status(thm)],[227, 102, 224, 217])).
% 13.30/9.00 tff(229,plain,(~node4(s32)), inference(lemma,lemma(discharge,[]))).
% 13.30/9.00 tff(230,assumption,(node4(s30)), introduced(assumption)).
% 13.30/9.00 tff(231,plain,
% 13.30/9.00 (((~![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)))),
% 13.30/9.00 inference(rewrite,[status(thm)],[])).
% 13.30/9.00 tff(232,plain,
% 13.30/9.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))),
% 13.30/9.00 inference(quant_inst,[status(thm)],[])).
% 13.30/9.00 tff(233,plain,
% 13.30/9.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30))),
% 13.30/9.00 inference(modus_ponens,[status(thm)],[232, 231])).
% 13.30/9.00 tff(234,plain,
% 13.30/9.00 (m_main_v_request(s30)),
% 13.30/9.00 inference(unit_resolution,[status(thm)],[233, 21, 230])).
% 13.30/9.00 tff(235,plain,
% 13.30/9.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30)))),
% 13.30/9.00 inference(rewrite,[status(thm)],[])).
% 13.30/9.00 tff(236,plain,
% 13.30/9.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))),
% 13.30/9.00 inference(quant_inst,[status(thm)],[])).
% 13.30/9.00 tff(237,plain,
% 13.30/9.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30))),
% 13.30/9.00 inference(modus_ponens,[status(thm)],[236, 235])).
% 13.30/9.00 tff(238,plain,
% 13.30/9.00 (always3(s30)),
% 13.30/9.00 inference(unit_resolution,[status(thm)],[237, 36, 230])).
% 13.30/9.00 tff(239,plain,
% 13.30/9.00 (succ(s30, s31) <=> succ(s30, s31)),
% 13.30/9.00 inference(rewrite,[status(thm)],[])).
% 13.30/9.00 tff(240,axiom,(succ(s30, s31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound31')).
% 13.30/9.00 tff(241,plain,
% 13.30/9.00 (succ(s30, s31)),
% 13.30/9.00 inference(modus_ponens,[status(thm)],[240, 239])).
% 13.30/9.00 tff(242,plain,
% 13.30/9.00 (((~![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))),
% 13.30/9.00 inference(rewrite,[status(thm)],[])).
% 13.30/9.00 tff(243,plain,
% 13.30/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 13.30/9.00 inference(quant_inst,[status(thm)],[])).
% 13.30/9.00 tff(244,plain,
% 13.30/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 13.30/9.00 inference(modus_ponens,[status(thm)],[243, 242])).
% 13.30/9.00 tff(245,plain,
% 13.30/9.00 (trans(s30, s31)),
% 13.30/9.00 inference(unit_resolution,[status(thm)],[244, 241, 52])).
% 13.30/9.00 tff(246,plain,
% 13.30/9.00 (((~![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))),
% 13.30/9.00 inference(rewrite,[status(thm)],[])).
% 13.30/9.00 tff(247,plain,
% 13.30/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 13.30/9.00 inference(quant_inst,[status(thm)],[])).
% 13.30/9.00 tff(248,plain,
% 13.30/9.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31)),
% 13.30/9.00 inference(modus_ponens,[status(thm)],[247, 246])).
% 13.30/9.00 tff(249,plain,
% 13.30/9.00 ((~always3(s30)) | always3(s31)),
% 13.30/9.00 inference(unit_resolution,[status(thm)],[248, 125, 245])).
% 13.30/9.00 tff(250,plain,
% 13.30/9.00 (always3(s31)),
% 13.30/9.00 inference(unit_resolution,[status(thm)],[249, 238])).
% 13.30/9.00 tff(251,plain,
% 13.30/9.00 (((~![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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(252,plain,
% 13.30/9.01 (((~m_main_v_state(s31, c_busy)) | (~always3(s31))) <=> ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(253,plain,
% 13.30/9.01 (((~![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))))),
% 13.30/9.01 inference(monotonicity,[status(thm)],[252])).
% 13.30/9.01 tff(254,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(transitivity,[status(thm)],[253, 251])).
% 13.30/9.01 tff(255,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(256,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[255, 254])).
% 13.30/9.01 tff(257,plain,
% 13.30/9.01 (~m_main_v_state(s31, c_busy)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[256, 85, 250])).
% 13.30/9.01 tff(258,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(259,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(260,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[259, 258])).
% 13.30/9.01 tff(261,plain,
% 13.30/9.01 (node2(s30, s31)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[260, 7, 245])).
% 13.30/9.01 tff(262,plain,
% 13.30/9.01 (((~![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(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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(263,plain,
% 13.30/9.01 ((~![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(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(264,plain,
% 13.30/9.01 ((~![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(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[263, 262])).
% 13.30/9.01 tff(265,plain,
% 13.30/9.01 ((~m_main_v_state(s30, c_ready)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[264, 73, 261])).
% 13.30/9.01 tff(266,plain,
% 13.30/9.01 (~m_main_v_state(s30, c_ready)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[265, 257, 234])).
% 13.30/9.01 tff(267,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(268,plain,
% 13.30/9.01 (((~m_main_v_state(s30, c_busy)) | (~always3(s30))) <=> ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(269,plain,
% 13.30/9.01 (((~![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))))),
% 13.30/9.01 inference(monotonicity,[status(thm)],[268])).
% 13.30/9.01 tff(270,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(transitivity,[status(thm)],[269, 267])).
% 13.30/9.01 tff(271,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(272,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[271, 270])).
% 13.30/9.01 tff(273,plain,
% 13.30/9.01 (~m_main_v_state(s30, c_busy)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[272, 85, 238])).
% 13.30/9.01 tff(274,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(275,plain,
% 13.30/9.01 ((~![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))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(276,plain,
% 13.30/9.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[275, 274])).
% 13.30/9.01 tff(277,plain,
% 13.30/9.01 ($false),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[276, 102, 273, 266])).
% 13.30/9.01 tff(278,plain,(~node4(s30)), inference(lemma,lemma(discharge,[]))).
% 13.30/9.01 tff(279,assumption,(~xuntil6(s2)), introduced(assumption)).
% 13.30/9.01 tff(280,assumption,(~always3(s2)), introduced(assumption)).
% 13.30/9.01 tff(281,plain,
% 13.30/9.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(282,plain,
% 13.30/9.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(283,plain,
% 13.30/9.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[282, 281])).
% 13.30/9.01 tff(284,plain,
% 13.30/9.01 (~node4(s2)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[283, 36, 280])).
% 13.30/9.01 tff(285,plain,
% 13.30/9.01 (^[X: $i] : refl((node4(X) | (~until5(X)) | xuntil6(X)) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 13.30/9.01 inference(bind,[status(th)],[])).
% 13.30/9.01 tff(286,plain,
% 13.30/9.01 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 13.30/9.01 inference(quant_intro,[status(thm)],[285])).
% 13.30/9.01 tff(287,plain,
% 13.30/9.01 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(288,plain,
% 13.30/9.01 (^[X: $i] : rewrite(((node4(X) | xuntil6(X)) | (~until5(X))) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 13.30/9.01 inference(bind,[status(th)],[])).
% 13.30/9.01 tff(289,plain,
% 13.30/9.01 (![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X))) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 13.30/9.01 inference(quant_intro,[status(thm)],[288])).
% 13.30/9.01 tff(290,axiom,(![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty6')).
% 13.30/9.01 tff(291,plain,
% 13.30/9.01 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[290, 289])).
% 13.30/9.01 tff(292,plain,
% 13.30/9.01 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[291, 287])).
% 13.30/9.01 tff(293,plain,(
% 13.30/9.01 ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 13.30/9.01 inference(skolemize,[status(sab)],[292])).
% 13.30/9.01 tff(294,plain,
% 13.30/9.01 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[293, 286])).
% 13.30/9.01 tff(295,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s2) | node4(s2) | (~until5(s2)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(296,plain,
% 13.30/9.01 ((node4(s2) | (~until5(s2)) | xuntil6(s2)) <=> (xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(297,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s2) | node4(s2) | (~until5(s2))))),
% 13.30/9.01 inference(monotonicity,[status(thm)],[296])).
% 13.30/9.01 tff(298,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 13.30/9.01 inference(transitivity,[status(thm)],[297, 295])).
% 13.30/9.01 tff(299,plain,
% 13.30/9.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(300,plain,
% 13.30/9.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[299, 298])).
% 13.30/9.01 tff(301,plain,
% 13.30/9.01 (node4(s2) | (~until5(s2))),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[300, 294, 279])).
% 13.30/9.01 tff(302,plain,
% 13.30/9.01 (~until5(s2)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[301, 284])).
% 13.30/9.01 tff(303,plain,
% 13.30/9.01 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 13.30/9.01 inference(bind,[status(th)],[])).
% 13.30/9.01 tff(304,plain,
% 13.30/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 13.30/9.01 inference(quant_intro,[status(thm)],[303])).
% 13.30/9.01 tff(305,plain,
% 13.30/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(306,plain,
% 13.30/9.01 (^[Y: $i, X: $i] : rewrite(((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 13.30/9.01 inference(bind,[status(th)],[])).
% 13.30/9.01 tff(307,plain,
% 13.30/9.01 (![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 13.30/9.01 inference(quant_intro,[status(thm)],[306])).
% 13.30/9.01 tff(308,axiom,(![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty7')).
% 13.30/9.01 tff(309,plain,
% 13.30/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[308, 307])).
% 13.30/9.01 tff(310,plain,
% 13.30/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[309, 305])).
% 13.30/9.01 tff(311,plain,(
% 13.30/9.01 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 13.30/9.01 inference(skolemize,[status(sab)],[310])).
% 13.30/9.01 tff(312,plain,
% 13.30/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[311, 304])).
% 13.30/9.01 tff(313,plain,
% 13.30/9.01 (succ(s1, s2) <=> succ(s1, s2)),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(314,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 13.30/9.01 tff(315,plain,
% 13.30/9.01 (succ(s1, s2)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[314, 313])).
% 13.30/9.01 tff(316,plain,
% 13.30/9.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(317,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(318,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[317, 316])).
% 13.30/9.01 tff(319,plain,
% 13.30/9.01 ((~xuntil6(s1)) | until5(s2)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[318, 315, 312])).
% 13.30/9.01 tff(320,plain,
% 13.30/9.01 (~xuntil6(s1)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[319, 302])).
% 13.30/9.01 tff(321,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(322,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(323,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[322, 321])).
% 13.30/9.01 tff(324,plain,
% 13.30/9.01 (trans(s1, s2)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[323, 315, 52])).
% 13.30/9.01 tff(325,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(326,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(327,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[326, 325])).
% 13.30/9.01 tff(328,plain,
% 13.30/9.01 ((~always3(s1)) | always3(s2)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[327, 125, 324])).
% 13.30/9.01 tff(329,plain,
% 13.30/9.01 (~always3(s1)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[328, 280])).
% 13.30/9.01 tff(330,plain,
% 13.30/9.01 (succ(s0, s1) <=> succ(s0, s1)),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(331,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 13.30/9.01 tff(332,plain,
% 13.30/9.01 (succ(s0, s1)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[331, 330])).
% 13.30/9.01 tff(333,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(334,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(335,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[334, 333])).
% 13.30/9.01 tff(336,plain,
% 13.30/9.01 (trans(s0, s1)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[335, 332, 52])).
% 13.30/9.01 tff(337,plain,
% 13.30/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(338,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(339,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[338, 337])).
% 13.30/9.01 tff(340,plain,
% 13.30/9.01 ((~always3(s0)) | always3(s1)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[339, 125, 336])).
% 13.30/9.01 tff(341,plain,
% 13.30/9.01 (~always3(s0)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[340, 329])).
% 13.30/9.01 tff(342,plain,
% 13.30/9.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(343,plain,
% 13.30/9.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(344,plain,
% 13.30/9.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[343, 342])).
% 13.30/9.01 tff(345,plain,
% 13.30/9.01 (~node4(s0)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[344, 36, 341])).
% 13.30/9.01 tff(346,plain,
% 13.30/9.01 (until5(s0) <=> until5(s0)),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(347,axiom,(until5(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty13')).
% 13.30/9.01 tff(348,plain,
% 13.30/9.01 (until5(s0)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[347, 346])).
% 13.30/9.01 tff(349,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s0) | node4(s0) | (~until5(s0)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(350,plain,
% 13.30/9.01 ((node4(s0) | (~until5(s0)) | xuntil6(s0)) <=> (xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(351,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s0) | node4(s0) | (~until5(s0))))),
% 13.30/9.01 inference(monotonicity,[status(thm)],[350])).
% 13.30/9.01 tff(352,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 13.30/9.01 inference(transitivity,[status(thm)],[351, 349])).
% 13.30/9.01 tff(353,plain,
% 13.30/9.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(354,plain,
% 13.30/9.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[353, 352])).
% 13.30/9.01 tff(355,plain,
% 13.30/9.01 (xuntil6(s0) | node4(s0)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[354, 294, 348])).
% 13.30/9.01 tff(356,plain,
% 13.30/9.01 (xuntil6(s0)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[355, 345])).
% 13.30/9.01 tff(357,plain,
% 13.30/9.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(358,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(359,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[358, 357])).
% 13.30/9.01 tff(360,plain,
% 13.30/9.01 ((~xuntil6(s0)) | until5(s1)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[359, 332, 312])).
% 13.30/9.01 tff(361,plain,
% 13.30/9.01 (until5(s1)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[360, 356])).
% 13.30/9.01 tff(362,assumption,(node4(s1)), introduced(assumption)).
% 13.30/9.01 tff(363,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(364,plain,
% 13.30/9.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(365,plain,
% 13.30/9.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[364, 363])).
% 13.30/9.01 tff(366,plain,
% 13.30/9.01 (m_main_v_request(s1)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[365, 21, 362])).
% 13.30/9.01 tff(367,plain,
% 13.30/9.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(368,plain,
% 13.30/9.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(369,plain,
% 13.30/9.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[368, 367])).
% 13.30/9.01 tff(370,plain,
% 13.30/9.01 (always3(s1)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[369, 36, 362])).
% 13.30/9.01 tff(371,plain,
% 13.30/9.01 (always3(s2)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[328, 370])).
% 13.30/9.01 tff(372,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(373,plain,
% 13.30/9.01 (((~m_main_v_state(s2, c_busy)) | (~always3(s2))) <=> ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(374,plain,
% 13.30/9.01 (((~![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))))),
% 13.30/9.01 inference(monotonicity,[status(thm)],[373])).
% 13.30/9.01 tff(375,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(transitivity,[status(thm)],[374, 372])).
% 13.30/9.01 tff(376,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(377,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[376, 375])).
% 13.30/9.01 tff(378,plain,
% 13.30/9.01 (~m_main_v_state(s2, c_busy)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[377, 85, 371])).
% 13.30/9.01 tff(379,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(380,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(381,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[380, 379])).
% 13.30/9.01 tff(382,plain,
% 13.30/9.01 (node2(s1, s2)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[381, 7, 324])).
% 13.30/9.01 tff(383,plain,
% 13.30/9.01 (((~![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(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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(384,plain,
% 13.30/9.01 ((~![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(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(385,plain,
% 13.30/9.01 ((~![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(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[384, 383])).
% 13.30/9.01 tff(386,plain,
% 13.30/9.01 ((~m_main_v_state(s1, c_ready)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[385, 73, 382])).
% 13.30/9.01 tff(387,plain,
% 13.30/9.01 (~m_main_v_state(s1, c_ready)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[386, 378, 366])).
% 13.30/9.01 tff(388,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(389,plain,
% 13.30/9.01 (((~m_main_v_state(s1, c_busy)) | (~always3(s1))) <=> ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(390,plain,
% 13.30/9.01 (((~![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))))),
% 13.30/9.01 inference(monotonicity,[status(thm)],[389])).
% 13.30/9.01 tff(391,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(transitivity,[status(thm)],[390, 388])).
% 13.30/9.01 tff(392,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(393,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[392, 391])).
% 13.30/9.01 tff(394,plain,
% 13.30/9.01 (~m_main_v_state(s1, c_busy)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[393, 85, 370])).
% 13.30/9.01 tff(395,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(396,plain,
% 13.30/9.01 ((~![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))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(397,plain,
% 13.30/9.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[396, 395])).
% 13.30/9.01 tff(398,plain,
% 13.30/9.01 ($false),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[397, 102, 394, 387])).
% 13.30/9.01 tff(399,plain,(~node4(s1)), inference(lemma,lemma(discharge,[]))).
% 13.30/9.01 tff(400,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s1) | node4(s1) | (~until5(s1)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(401,plain,
% 13.30/9.01 ((node4(s1) | (~until5(s1)) | xuntil6(s1)) <=> (xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(402,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s1) | node4(s1) | (~until5(s1))))),
% 13.30/9.01 inference(monotonicity,[status(thm)],[401])).
% 13.30/9.01 tff(403,plain,
% 13.30/9.01 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 13.30/9.01 inference(transitivity,[status(thm)],[402, 400])).
% 13.30/9.01 tff(404,plain,
% 13.30/9.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(405,plain,
% 13.30/9.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[404, 403])).
% 13.30/9.01 tff(406,plain,
% 13.30/9.01 (xuntil6(s1) | (~until5(s1))),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[405, 294, 399])).
% 13.30/9.01 tff(407,plain,
% 13.30/9.01 ($false),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[406, 361, 320])).
% 13.30/9.01 tff(408,plain,(always3(s2) | xuntil6(s2)), inference(lemma,lemma(discharge,[]))).
% 13.30/9.01 tff(409,plain,
% 13.30/9.01 (always3(s2)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[408, 279])).
% 13.30/9.01 tff(410,plain,
% 13.30/9.01 (succ(s2, s3) <=> succ(s2, s3)),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(411,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 13.30/9.01 tff(412,plain,
% 13.30/9.01 (succ(s2, s3)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[411, 410])).
% 13.30/9.01 tff(413,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(414,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(415,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[414, 413])).
% 13.30/9.01 tff(416,plain,
% 13.30/9.01 (trans(s2, s3)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[415, 412, 52])).
% 13.30/9.01 tff(417,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(418,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(419,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3)),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[418, 417])).
% 13.30/9.01 tff(420,plain,
% 13.30/9.01 ((~always3(s2)) | always3(s3)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[419, 125, 416])).
% 13.30/9.01 tff(421,plain,
% 13.30/9.01 (always3(s3)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[420, 409])).
% 13.30/9.01 tff(422,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(423,plain,
% 13.30/9.01 (((~m_main_v_state(s3, c_busy)) | (~always3(s3))) <=> ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(424,plain,
% 13.30/9.01 (((~![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))))),
% 13.30/9.01 inference(monotonicity,[status(thm)],[423])).
% 13.30/9.01 tff(425,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(transitivity,[status(thm)],[424, 422])).
% 13.30/9.01 tff(426,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(427,plain,
% 13.30/9.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[426, 425])).
% 13.30/9.01 tff(428,plain,
% 13.30/9.01 (~m_main_v_state(s3, c_busy)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[427, 85, 421])).
% 13.30/9.01 tff(429,assumption,(node4(s0)), introduced(assumption)).
% 13.30/9.01 tff(430,plain,
% 13.30/9.01 (((~![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)))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(431,plain,
% 13.30/9.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))),
% 13.30/9.01 inference(quant_inst,[status(thm)],[])).
% 13.30/9.01 tff(432,plain,
% 13.30/9.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0))),
% 13.30/9.01 inference(modus_ponens,[status(thm)],[431, 430])).
% 13.30/9.01 tff(433,plain,
% 13.30/9.01 (m_main_v_request(s0)),
% 13.30/9.01 inference(unit_resolution,[status(thm)],[432, 21, 429])).
% 13.30/9.01 tff(434,plain,
% 13.30/9.01 (((~![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))),
% 13.30/9.01 inference(rewrite,[status(thm)],[])).
% 13.30/9.01 tff(435,plain,
% 13.30/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(436,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1)),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[435, 434])).
% 13.30/9.02 tff(437,plain,
% 13.30/9.02 (node2(s0, s1)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[436, 7, 336])).
% 13.30/9.02 tff(438,plain,
% 13.30/9.02 (m_main_v_state(s0, c_ready) <=> m_main_v_state(s0, c_ready)),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(439,axiom,(m_main_v_state(s0, c_ready)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_3')).
% 13.30/9.02 tff(440,plain,
% 13.30/9.02 (m_main_v_state(s0, c_ready)),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[439, 438])).
% 13.30/9.02 tff(441,plain,
% 13.30/9.02 (((~![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(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)))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(442,plain,
% 13.30/9.02 ((~![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(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(443,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[442, 441])).
% 13.30/9.02 tff(444,plain,
% 13.30/9.02 (m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[443, 440, 73, 437])).
% 13.30/9.02 tff(445,plain,
% 13.30/9.02 (m_main_v_state(s1, c_busy)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[444, 433])).
% 13.30/9.02 tff(446,plain,
% 13.30/9.02 (always3(s0)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[344, 36, 429])).
% 13.30/9.02 tff(447,plain,
% 13.30/9.02 (always3(s1)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[340, 446])).
% 13.30/9.02 tff(448,plain,
% 13.30/9.02 ($false),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[393, 85, 447, 445])).
% 13.30/9.02 tff(449,plain,(~node4(s0)), inference(lemma,lemma(discharge,[]))).
% 13.30/9.02 tff(450,plain,
% 13.30/9.02 (xuntil6(s0)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[355, 449])).
% 13.30/9.02 tff(451,plain,
% 13.30/9.02 (until5(s1)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[360, 450])).
% 13.30/9.02 tff(452,plain,
% 13.30/9.02 (xuntil6(s1)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[406, 451])).
% 13.30/9.02 tff(453,plain,
% 13.30/9.02 (until5(s2)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[319, 452])).
% 13.30/9.02 tff(454,plain,
% 13.30/9.02 (xuntil6(s2) | node4(s2)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[300, 294, 453])).
% 13.30/9.02 tff(455,plain,
% 13.30/9.02 (node4(s2)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[454, 279])).
% 13.30/9.02 tff(456,plain,
% 13.30/9.02 (((~![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)))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(457,plain,
% 13.30/9.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(458,plain,
% 13.30/9.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2))),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[457, 456])).
% 13.30/9.02 tff(459,plain,
% 13.30/9.02 (m_main_v_request(s2)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[458, 21, 455])).
% 13.30/9.02 tff(460,plain,
% 13.30/9.02 (((~![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))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(461,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(462,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3)),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[461, 460])).
% 13.30/9.02 tff(463,plain,
% 13.30/9.02 (node2(s2, s3)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[462, 7, 416])).
% 13.30/9.02 tff(464,plain,
% 13.30/9.02 (((~![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(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)))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(465,plain,
% 13.30/9.02 ((~![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(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(466,plain,
% 13.30/9.02 ((~![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(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[465, 464])).
% 13.30/9.02 tff(467,plain,
% 13.30/9.02 ((~m_main_v_state(s2, c_ready)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[466, 73, 463])).
% 13.30/9.02 tff(468,plain,
% 13.30/9.02 (~m_main_v_state(s2, c_ready)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[467, 459, 428])).
% 13.30/9.02 tff(469,plain,
% 13.30/9.02 (~m_main_v_state(s2, c_busy)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[377, 85, 409])).
% 13.30/9.02 tff(470,plain,
% 13.30/9.02 (((~![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))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(471,plain,
% 13.30/9.02 ((~![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))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(472,plain,
% 13.30/9.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready)),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[471, 470])).
% 13.30/9.02 tff(473,plain,
% 13.30/9.02 ($false),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[472, 102, 469, 468])).
% 13.30/9.02 tff(474,plain,(xuntil6(s2)), inference(lemma,lemma(discharge,[]))).
% 13.30/9.02 tff(475,plain,
% 13.30/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(476,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(477,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3)),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[476, 475])).
% 13.30/9.02 tff(478,plain,
% 13.30/9.02 ((~xuntil6(s2)) | until5(s3)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[477, 412, 312])).
% 13.30/9.02 tff(479,plain,
% 13.30/9.02 (until5(s3)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[478, 474])).
% 13.30/9.02 tff(480,assumption,(node4(s3)), introduced(assumption)).
% 13.30/9.02 tff(481,plain,
% 13.30/9.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3)))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(482,plain,
% 13.30/9.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(483,plain,
% 13.30/9.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3))),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[482, 481])).
% 13.30/9.02 tff(484,plain,
% 13.30/9.02 (m_main_v_request(s3)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[483, 21, 480])).
% 13.30/9.02 tff(485,plain,
% 13.30/9.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3)))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(486,plain,
% 13.30/9.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(487,plain,
% 13.30/9.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3))),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[486, 485])).
% 13.30/9.02 tff(488,plain,
% 13.30/9.02 (always3(s3)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[487, 36, 480])).
% 13.30/9.02 tff(489,plain,
% 13.30/9.02 (succ(s3, s4) <=> succ(s3, s4)),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(490,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 13.30/9.02 tff(491,plain,
% 13.30/9.02 (succ(s3, s4)),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[490, 489])).
% 13.30/9.02 tff(492,plain,
% 13.30/9.02 (((~![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))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(493,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(494,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[493, 492])).
% 13.30/9.02 tff(495,plain,
% 13.30/9.02 (trans(s3, s4)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[494, 491, 52])).
% 13.30/9.02 tff(496,plain,
% 13.30/9.02 (((~![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))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(497,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(498,plain,
% 13.30/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4)),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[497, 496])).
% 13.30/9.02 tff(499,plain,
% 13.30/9.02 ((~always3(s3)) | always3(s4)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[498, 125, 495])).
% 13.30/9.02 tff(500,plain,
% 13.30/9.02 (always3(s4)),
% 13.30/9.02 inference(unit_resolution,[status(thm)],[499, 488])).
% 13.30/9.02 tff(501,plain,
% 13.30/9.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(502,plain,
% 13.30/9.02 (((~m_main_v_state(s4, c_busy)) | (~always3(s4))) <=> ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 13.30/9.02 inference(rewrite,[status(thm)],[])).
% 13.30/9.02 tff(503,plain,
% 13.30/9.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s4)) | (~m_main_v_state(s4, c_busy))))),
% 13.30/9.02 inference(monotonicity,[status(thm)],[502])).
% 13.30/9.02 tff(504,plain,
% 13.30/9.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 13.30/9.02 inference(transitivity,[status(thm)],[503, 501])).
% 13.30/9.02 tff(505,plain,
% 13.30/9.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))),
% 13.30/9.02 inference(quant_inst,[status(thm)],[])).
% 13.30/9.02 tff(506,plain,
% 13.30/9.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy))),
% 13.30/9.02 inference(modus_ponens,[status(thm)],[505, 504])).
% 13.30/9.02 tff(507,plain,
% 13.30/9.02 (~m_main_v_state(s4, c_busy)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[506, 85, 500])).
% 13.31/9.02 tff(508,plain,
% 13.31/9.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(509,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(510,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[509, 508])).
% 13.31/9.02 tff(511,plain,
% 13.31/9.02 (node2(s3, s4)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[510, 7, 495])).
% 13.31/9.02 tff(512,plain,
% 13.31/9.02 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(513,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(514,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[513, 512])).
% 13.31/9.02 tff(515,plain,
% 13.31/9.02 ((~m_main_v_state(s3, c_ready)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[514, 73, 511])).
% 13.31/9.02 tff(516,plain,
% 13.31/9.02 (~m_main_v_state(s3, c_ready)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[515, 507, 484])).
% 13.31/9.02 tff(517,plain,
% 13.31/9.02 (~m_main_v_state(s3, c_busy)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[427, 85, 488])).
% 13.31/9.02 tff(518,plain,
% 13.31/9.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(519,plain,
% 13.31/9.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(520,plain,
% 13.31/9.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[519, 518])).
% 13.31/9.02 tff(521,plain,
% 13.31/9.02 ($false),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[520, 102, 517, 516])).
% 13.31/9.02 tff(522,plain,(~node4(s3)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.02 tff(523,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s3) | node4(s3) | (~until5(s3)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(524,plain,
% 13.31/9.02 ((node4(s3) | (~until5(s3)) | xuntil6(s3)) <=> (xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(525,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s3) | node4(s3) | (~until5(s3))))),
% 13.31/9.02 inference(monotonicity,[status(thm)],[524])).
% 13.31/9.02 tff(526,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 13.31/9.02 inference(transitivity,[status(thm)],[525, 523])).
% 13.31/9.02 tff(527,plain,
% 13.31/9.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(528,plain,
% 13.31/9.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3))),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[527, 526])).
% 13.31/9.02 tff(529,plain,
% 13.31/9.02 (xuntil6(s3) | (~until5(s3))),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[528, 294, 522])).
% 13.31/9.02 tff(530,plain,
% 13.31/9.02 (xuntil6(s3)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[529, 479])).
% 13.31/9.02 tff(531,plain,
% 13.31/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(532,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(533,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[532, 531])).
% 13.31/9.02 tff(534,plain,
% 13.31/9.02 ((~xuntil6(s3)) | until5(s4)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[533, 491, 312])).
% 13.31/9.02 tff(535,plain,
% 13.31/9.02 (until5(s4)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[534, 530])).
% 13.31/9.02 tff(536,assumption,(~xuntil6(s5)), introduced(assumption)).
% 13.31/9.02 tff(537,assumption,(~always3(s5)), introduced(assumption)).
% 13.31/9.02 tff(538,plain,
% 13.31/9.02 (succ(s4, s5) <=> succ(s4, s5)),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(539,axiom,(succ(s4, s5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 13.31/9.02 tff(540,plain,
% 13.31/9.02 (succ(s4, s5)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[539, 538])).
% 13.31/9.02 tff(541,plain,
% 13.31/9.02 (((~![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))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(542,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(543,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[542, 541])).
% 13.31/9.02 tff(544,plain,
% 13.31/9.02 (trans(s4, s5)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[543, 540, 52])).
% 13.31/9.02 tff(545,plain,
% 13.31/9.02 (((~![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))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(546,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(547,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[546, 545])).
% 13.31/9.02 tff(548,plain,
% 13.31/9.02 ((~always3(s4)) | always3(s5)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[547, 125, 544])).
% 13.31/9.02 tff(549,plain,
% 13.31/9.02 (~always3(s4)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[548, 537])).
% 13.31/9.02 tff(550,plain,
% 13.31/9.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s4) | (~node4(s4)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(551,plain,
% 13.31/9.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s4) | (~node4(s4)))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(552,plain,
% 13.31/9.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4))),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[551, 550])).
% 13.31/9.02 tff(553,plain,
% 13.31/9.02 (~node4(s4)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[552, 36, 549])).
% 13.31/9.02 tff(554,plain,
% 13.31/9.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s5) | (~node4(s5)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(555,plain,
% 13.31/9.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s5) | (~node4(s5)))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(556,plain,
% 13.31/9.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5))),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[555, 554])).
% 13.31/9.02 tff(557,plain,
% 13.31/9.02 (~node4(s5)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[556, 36, 537])).
% 13.31/9.02 tff(558,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s5) | node4(s5) | (~until5(s5)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(559,plain,
% 13.31/9.02 ((node4(s5) | (~until5(s5)) | xuntil6(s5)) <=> (xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(560,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s5) | node4(s5) | (~until5(s5))))),
% 13.31/9.02 inference(monotonicity,[status(thm)],[559])).
% 13.31/9.02 tff(561,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 13.31/9.02 inference(transitivity,[status(thm)],[560, 558])).
% 13.31/9.02 tff(562,plain,
% 13.31/9.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(563,plain,
% 13.31/9.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5))),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[562, 561])).
% 13.31/9.02 tff(564,plain,
% 13.31/9.02 (node4(s5) | (~until5(s5))),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[563, 294, 536])).
% 13.31/9.02 tff(565,plain,
% 13.31/9.02 (~until5(s5)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[564, 557])).
% 13.31/9.02 tff(566,plain,
% 13.31/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(567,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(568,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[567, 566])).
% 13.31/9.02 tff(569,plain,
% 13.31/9.02 ((~xuntil6(s4)) | until5(s5)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[568, 540, 312])).
% 13.31/9.02 tff(570,plain,
% 13.31/9.02 (~xuntil6(s4)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[569, 565])).
% 13.31/9.02 tff(571,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s4) | node4(s4) | (~until5(s4)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(572,plain,
% 13.31/9.02 ((node4(s4) | (~until5(s4)) | xuntil6(s4)) <=> (xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(573,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s4) | node4(s4) | (~until5(s4))))),
% 13.31/9.02 inference(monotonicity,[status(thm)],[572])).
% 13.31/9.02 tff(574,plain,
% 13.31/9.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 13.31/9.02 inference(transitivity,[status(thm)],[573, 571])).
% 13.31/9.02 tff(575,plain,
% 13.31/9.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(576,plain,
% 13.31/9.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4))),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[575, 574])).
% 13.31/9.02 tff(577,plain,
% 13.31/9.02 (~until5(s4)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[576, 294, 570, 553])).
% 13.31/9.02 tff(578,plain,
% 13.31/9.02 (~xuntil6(s3)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[534, 577])).
% 13.31/9.02 tff(579,plain,
% 13.31/9.02 (~always3(s3)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[499, 549])).
% 13.31/9.02 tff(580,plain,
% 13.31/9.02 (~node4(s3)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[487, 36, 579])).
% 13.31/9.02 tff(581,plain,
% 13.31/9.02 (xuntil6(s3) | (~until5(s3))),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[528, 294, 580])).
% 13.31/9.02 tff(582,plain,
% 13.31/9.02 (~until5(s3)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[581, 578])).
% 13.31/9.02 tff(583,plain,
% 13.31/9.02 (~always3(s2)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[420, 579])).
% 13.31/9.02 tff(584,plain,
% 13.31/9.02 (~always3(s1)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[328, 583])).
% 13.31/9.02 tff(585,plain,
% 13.31/9.02 (~node4(s1)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[369, 36, 584])).
% 13.31/9.02 tff(586,plain,
% 13.31/9.02 (~always3(s0)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[340, 584])).
% 13.31/9.02 tff(587,plain,
% 13.31/9.02 (~node4(s0)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[344, 36, 586])).
% 13.31/9.02 tff(588,plain,
% 13.31/9.02 (xuntil6(s0)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[355, 587])).
% 13.31/9.02 tff(589,plain,
% 13.31/9.02 (until5(s1)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[360, 588])).
% 13.31/9.02 tff(590,plain,
% 13.31/9.02 (xuntil6(s1)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[405, 294, 589, 585])).
% 13.31/9.02 tff(591,plain,
% 13.31/9.02 (until5(s2)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[319, 590])).
% 13.31/9.02 tff(592,plain,
% 13.31/9.02 (~node4(s2)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[283, 36, 583])).
% 13.31/9.02 tff(593,plain,
% 13.31/9.02 (xuntil6(s2) | (~until5(s2))),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[300, 294, 592])).
% 13.31/9.02 tff(594,plain,
% 13.31/9.02 (xuntil6(s2)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[593, 591])).
% 13.31/9.02 tff(595,plain,
% 13.31/9.02 ($false),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[478, 594, 582])).
% 13.31/9.02 tff(596,plain,(always3(s5) | xuntil6(s5)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.02 tff(597,plain,
% 13.31/9.02 (always3(s5)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[596, 536])).
% 13.31/9.02 tff(598,plain,
% 13.31/9.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(599,plain,
% 13.31/9.02 (((~m_main_v_state(s5, c_busy)) | (~always3(s5))) <=> ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(600,plain,
% 13.31/9.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s5)) | (~m_main_v_state(s5, c_busy))))),
% 13.31/9.02 inference(monotonicity,[status(thm)],[599])).
% 13.31/9.02 tff(601,plain,
% 13.31/9.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 13.31/9.02 inference(transitivity,[status(thm)],[600, 598])).
% 13.31/9.02 tff(602,plain,
% 13.31/9.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(603,plain,
% 13.31/9.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy))),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[602, 601])).
% 13.31/9.02 tff(604,plain,
% 13.31/9.02 (~m_main_v_state(s5, c_busy)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[603, 85, 597])).
% 13.31/9.02 tff(605,plain,
% 13.31/9.02 (succ(s5, s6) <=> succ(s5, s6)),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(606,axiom,(succ(s5, s6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 13.31/9.02 tff(607,plain,
% 13.31/9.02 (succ(s5, s6)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[606, 605])).
% 13.31/9.02 tff(608,plain,
% 13.31/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(609,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(610,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[609, 608])).
% 13.31/9.02 tff(611,plain,
% 13.31/9.02 (trans(s5, s6)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[610, 607, 52])).
% 13.31/9.02 tff(612,plain,
% 13.31/9.02 (((~![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))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(613,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(614,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[613, 612])).
% 13.31/9.02 tff(615,plain,
% 13.31/9.02 ((~always3(s5)) | always3(s6)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[614, 125, 611])).
% 13.31/9.02 tff(616,plain,
% 13.31/9.02 (always3(s6)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[615, 597])).
% 13.31/9.02 tff(617,plain,
% 13.31/9.02 (((~![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)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(618,plain,
% 13.31/9.02 (((~m_main_v_state(s6, c_busy)) | (~always3(s6))) <=> ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(619,plain,
% 13.31/9.02 (((~![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))))),
% 13.31/9.02 inference(monotonicity,[status(thm)],[618])).
% 13.31/9.02 tff(620,plain,
% 13.31/9.02 (((~![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)))),
% 13.31/9.02 inference(transitivity,[status(thm)],[619, 617])).
% 13.31/9.02 tff(621,plain,
% 13.31/9.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(622,plain,
% 13.31/9.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy))),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[621, 620])).
% 13.31/9.02 tff(623,plain,
% 13.31/9.02 (~m_main_v_state(s6, c_busy)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[622, 85, 616])).
% 13.31/9.02 tff(624,plain,
% 13.31/9.02 (((~![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))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(625,plain,
% 13.31/9.02 ((~![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))),
% 13.31/9.02 inference(quant_inst,[status(thm)],[])).
% 13.31/9.02 tff(626,plain,
% 13.31/9.02 ((~![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)),
% 13.31/9.02 inference(modus_ponens,[status(thm)],[625, 624])).
% 13.31/9.02 tff(627,plain,
% 13.31/9.02 (m_main_v_state(s5, c_ready)),
% 13.31/9.02 inference(unit_resolution,[status(thm)],[626, 102, 604])).
% 13.31/9.02 tff(628,plain,
% 13.31/9.02 (((~![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))),
% 13.31/9.02 inference(rewrite,[status(thm)],[])).
% 13.31/9.02 tff(629,plain,
% 13.31/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(630,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[629, 628])).
% 13.31/9.03 tff(631,plain,
% 13.31/9.03 (node2(s5, s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[630, 7, 611])).
% 13.31/9.03 tff(632,plain,
% 13.31/9.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(633,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(634,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[633, 632])).
% 13.31/9.03 tff(635,plain,
% 13.31/9.03 ((~m_main_v_state(s5, c_ready)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[634, 73, 631])).
% 13.31/9.03 tff(636,plain,
% 13.31/9.03 (~m_main_v_request(s5)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[635, 627, 623])).
% 13.31/9.03 tff(637,plain,
% 13.31/9.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(638,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(639,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[638, 637])).
% 13.31/9.03 tff(640,plain,
% 13.31/9.03 (~node4(s5)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[639, 21, 636])).
% 13.31/9.03 tff(641,plain,
% 13.31/9.03 (~until5(s5)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[564, 640])).
% 13.31/9.03 tff(642,plain,
% 13.31/9.03 (~xuntil6(s4)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[569, 641])).
% 13.31/9.03 tff(643,assumption,(until5(s4)), introduced(assumption)).
% 13.31/9.03 tff(644,plain,
% 13.31/9.03 (xuntil6(s4) | node4(s4)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[576, 294, 643])).
% 13.31/9.03 tff(645,plain,
% 13.31/9.03 (node4(s4)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[644, 642])).
% 13.31/9.03 tff(646,plain,
% 13.31/9.03 (((~![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)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(647,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(648,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[647, 646])).
% 13.31/9.03 tff(649,plain,
% 13.31/9.03 (m_main_v_request(s4)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[648, 21, 645])).
% 13.31/9.03 tff(650,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(651,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(652,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[651, 650])).
% 13.31/9.03 tff(653,plain,
% 13.31/9.03 (node2(s4, s5)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[652, 7, 544])).
% 13.31/9.03 tff(654,plain,
% 13.31/9.03 (((~![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(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)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(655,plain,
% 13.31/9.03 ((~![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(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(656,plain,
% 13.31/9.03 ((~![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(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[655, 654])).
% 13.31/9.03 tff(657,plain,
% 13.31/9.03 ((~m_main_v_state(s4, c_ready)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[656, 73, 653])).
% 13.31/9.03 tff(658,plain,
% 13.31/9.03 (~m_main_v_state(s4, c_ready)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[657, 649, 604])).
% 13.31/9.03 tff(659,plain,
% 13.31/9.03 (always3(s4)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[552, 36, 645])).
% 13.31/9.03 tff(660,plain,
% 13.31/9.03 (~m_main_v_state(s4, c_busy)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[506, 85, 659])).
% 13.31/9.03 tff(661,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(662,plain,
% 13.31/9.03 ((~![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))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(663,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[662, 661])).
% 13.31/9.03 tff(664,plain,
% 13.31/9.03 ($false),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[663, 102, 660, 658])).
% 13.31/9.03 tff(665,plain,(xuntil6(s5) | (~until5(s4))), inference(lemma,lemma(discharge,[]))).
% 13.31/9.03 tff(666,plain,
% 13.31/9.03 (xuntil6(s5)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[665, 535])).
% 13.31/9.03 tff(667,plain,
% 13.31/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(668,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(669,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[668, 667])).
% 13.31/9.03 tff(670,plain,
% 13.31/9.03 ((~xuntil6(s5)) | until5(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[669, 607, 312])).
% 13.31/9.03 tff(671,plain,
% 13.31/9.03 (until5(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[670, 666])).
% 13.31/9.03 tff(672,assumption,(~xuntil6(s7)), introduced(assumption)).
% 13.31/9.03 tff(673,assumption,(~always3(s7)), introduced(assumption)).
% 13.31/9.03 tff(674,plain,
% 13.31/9.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(675,plain,
% 13.31/9.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(676,plain,
% 13.31/9.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[675, 674])).
% 13.31/9.03 tff(677,plain,
% 13.31/9.03 (~node4(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[676, 36, 673])).
% 13.31/9.03 tff(678,plain,
% 13.31/9.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s7) | node4(s7) | (~until5(s7)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(679,plain,
% 13.31/9.03 ((node4(s7) | (~until5(s7)) | xuntil6(s7)) <=> (xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(680,plain,
% 13.31/9.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s7) | node4(s7) | (~until5(s7))))),
% 13.31/9.03 inference(monotonicity,[status(thm)],[679])).
% 13.31/9.03 tff(681,plain,
% 13.31/9.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 13.31/9.03 inference(transitivity,[status(thm)],[680, 678])).
% 13.31/9.03 tff(682,plain,
% 13.31/9.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(683,plain,
% 13.31/9.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[682, 681])).
% 13.31/9.03 tff(684,plain,
% 13.31/9.03 (node4(s7) | (~until5(s7))),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[683, 294, 672])).
% 13.31/9.03 tff(685,plain,
% 13.31/9.03 (~until5(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[684, 677])).
% 13.31/9.03 tff(686,plain,
% 13.31/9.03 (succ(s6, s7) <=> succ(s6, s7)),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(687,axiom,(succ(s6, s7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 13.31/9.03 tff(688,plain,
% 13.31/9.03 (succ(s6, s7)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[687, 686])).
% 13.31/9.03 tff(689,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(690,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(691,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[690, 689])).
% 13.31/9.03 tff(692,plain,
% 13.31/9.03 (trans(s6, s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[691, 688, 52])).
% 13.31/9.03 tff(693,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(694,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s6, s7)) | (~always3(s6)) | always3(s7))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(695,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[694, 693])).
% 13.31/9.03 tff(696,plain,
% 13.31/9.03 ((~always3(s6)) | always3(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[695, 125, 692])).
% 13.31/9.03 tff(697,plain,
% 13.31/9.03 (~always3(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[696, 673])).
% 13.31/9.03 tff(698,plain,
% 13.31/9.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(699,plain,
% 13.31/9.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(700,plain,
% 13.31/9.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[699, 698])).
% 13.31/9.03 tff(701,plain,
% 13.31/9.03 (~node4(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[700, 36, 697])).
% 13.31/9.03 tff(702,plain,
% 13.31/9.03 (~always3(s5)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[615, 697])).
% 13.31/9.03 tff(703,plain,
% 13.31/9.03 (xuntil6(s5)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[596, 702])).
% 13.31/9.03 tff(704,plain,
% 13.31/9.03 (until5(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[670, 703])).
% 13.31/9.03 tff(705,plain,
% 13.31/9.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s6) | node4(s6) | (~until5(s6)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(706,plain,
% 13.31/9.03 ((node4(s6) | (~until5(s6)) | xuntil6(s6)) <=> (xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(707,plain,
% 13.31/9.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s6) | node4(s6) | (~until5(s6))))),
% 13.31/9.03 inference(monotonicity,[status(thm)],[706])).
% 13.31/9.03 tff(708,plain,
% 13.31/9.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 13.31/9.03 inference(transitivity,[status(thm)],[707, 705])).
% 13.31/9.03 tff(709,plain,
% 13.31/9.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(710,plain,
% 13.31/9.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[709, 708])).
% 13.31/9.03 tff(711,plain,
% 13.31/9.03 (xuntil6(s6) | node4(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[710, 294, 704])).
% 13.31/9.03 tff(712,plain,
% 13.31/9.03 (xuntil6(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[711, 701])).
% 13.31/9.03 tff(713,plain,
% 13.31/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(714,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(715,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[714, 713])).
% 13.31/9.03 tff(716,plain,
% 13.31/9.03 ((~xuntil6(s6)) | until5(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[715, 688, 312])).
% 13.31/9.03 tff(717,plain,
% 13.31/9.03 ($false),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[716, 712, 685])).
% 13.31/9.03 tff(718,plain,(always3(s7) | xuntil6(s7)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.03 tff(719,plain,
% 13.31/9.03 (always3(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[718, 672])).
% 13.31/9.03 tff(720,plain,
% 13.31/9.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(721,plain,
% 13.31/9.03 (((~m_main_v_state(s7, c_busy)) | (~always3(s7))) <=> ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(722,plain,
% 13.31/9.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s7)) | (~m_main_v_state(s7, c_busy))))),
% 13.31/9.03 inference(monotonicity,[status(thm)],[721])).
% 13.31/9.03 tff(723,plain,
% 13.31/9.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 13.31/9.03 inference(transitivity,[status(thm)],[722, 720])).
% 13.31/9.03 tff(724,plain,
% 13.31/9.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(725,plain,
% 13.31/9.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[724, 723])).
% 13.31/9.03 tff(726,plain,
% 13.31/9.03 (~m_main_v_state(s7, c_busy)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[725, 85, 719])).
% 13.31/9.03 tff(727,plain,
% 13.31/9.03 (succ(s7, s8) <=> succ(s7, s8)),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(728,axiom,(succ(s7, s8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound8')).
% 13.31/9.03 tff(729,plain,
% 13.31/9.03 (succ(s7, s8)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[728, 727])).
% 13.31/9.03 tff(730,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(731,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(732,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[731, 730])).
% 13.31/9.03 tff(733,plain,
% 13.31/9.03 (trans(s7, s8)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[732, 729, 52])).
% 13.31/9.03 tff(734,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(735,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(736,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[735, 734])).
% 13.31/9.03 tff(737,plain,
% 13.31/9.03 ((~always3(s7)) | always3(s8)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[736, 125, 733])).
% 13.31/9.03 tff(738,plain,
% 13.31/9.03 (always3(s8)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[737, 719])).
% 13.31/9.03 tff(739,plain,
% 13.31/9.03 (((~![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)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(740,plain,
% 13.31/9.03 (((~m_main_v_state(s8, c_busy)) | (~always3(s8))) <=> ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(741,plain,
% 13.31/9.03 (((~![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))))),
% 13.31/9.03 inference(monotonicity,[status(thm)],[740])).
% 13.31/9.03 tff(742,plain,
% 13.31/9.03 (((~![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)))),
% 13.31/9.03 inference(transitivity,[status(thm)],[741, 739])).
% 13.31/9.03 tff(743,plain,
% 13.31/9.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(744,plain,
% 13.31/9.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[743, 742])).
% 13.31/9.03 tff(745,plain,
% 13.31/9.03 (~m_main_v_state(s8, c_busy)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[744, 85, 738])).
% 13.31/9.03 tff(746,plain,
% 13.31/9.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(747,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(748,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[747, 746])).
% 13.31/9.03 tff(749,plain,
% 13.31/9.03 (m_main_v_state(s7, c_ready)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[748, 102, 726])).
% 13.31/9.03 tff(750,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(751,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(752,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[751, 750])).
% 13.31/9.03 tff(753,plain,
% 13.31/9.03 (node2(s7, s8)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[752, 7, 733])).
% 13.31/9.03 tff(754,plain,
% 13.31/9.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(755,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(756,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[755, 754])).
% 13.31/9.03 tff(757,plain,
% 13.31/9.03 ((~m_main_v_state(s7, c_ready)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[756, 73, 753])).
% 13.31/9.03 tff(758,plain,
% 13.31/9.03 (~m_main_v_request(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[757, 749, 745])).
% 13.31/9.03 tff(759,plain,
% 13.31/9.03 (((~![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)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(760,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(761,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[760, 759])).
% 13.31/9.03 tff(762,plain,
% 13.31/9.03 (~node4(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[761, 21, 758])).
% 13.31/9.03 tff(763,plain,
% 13.31/9.03 (~until5(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[684, 762])).
% 13.31/9.03 tff(764,plain,
% 13.31/9.03 (~xuntil6(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[716, 763])).
% 13.31/9.03 tff(765,assumption,(until5(s6)), introduced(assumption)).
% 13.31/9.03 tff(766,plain,
% 13.31/9.03 (xuntil6(s6) | node4(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[710, 294, 765])).
% 13.31/9.03 tff(767,plain,
% 13.31/9.03 (node4(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[766, 764])).
% 13.31/9.03 tff(768,plain,
% 13.31/9.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(769,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(770,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[769, 768])).
% 13.31/9.03 tff(771,plain,
% 13.31/9.03 (m_main_v_request(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[770, 21, 767])).
% 13.31/9.03 tff(772,plain,
% 13.31/9.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(773,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(774,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[773, 772])).
% 13.31/9.03 tff(775,plain,
% 13.31/9.03 (node2(s6, s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[774, 7, 692])).
% 13.31/9.03 tff(776,plain,
% 13.31/9.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(777,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(778,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[777, 776])).
% 13.31/9.03 tff(779,plain,
% 13.31/9.03 ((~m_main_v_state(s6, c_ready)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[778, 73, 775])).
% 13.31/9.03 tff(780,plain,
% 13.31/9.03 (~m_main_v_state(s6, c_ready)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[779, 771, 726])).
% 13.31/9.03 tff(781,plain,
% 13.31/9.03 (always3(s6)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[700, 36, 767])).
% 13.31/9.03 tff(782,plain,
% 13.31/9.03 (~m_main_v_state(s6, c_busy)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[622, 85, 781])).
% 13.31/9.03 tff(783,plain,
% 13.31/9.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(784,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(785,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[784, 783])).
% 13.31/9.03 tff(786,plain,
% 13.31/9.03 ($false),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[785, 102, 782, 780])).
% 13.31/9.03 tff(787,plain,(xuntil6(s7) | (~until5(s6))), inference(lemma,lemma(discharge,[]))).
% 13.31/9.03 tff(788,plain,
% 13.31/9.03 (xuntil6(s7)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[787, 671])).
% 13.31/9.03 tff(789,plain,
% 13.31/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(790,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(791,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[790, 789])).
% 13.31/9.03 tff(792,plain,
% 13.31/9.03 ((~xuntil6(s7)) | until5(s8)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[791, 729, 312])).
% 13.31/9.03 tff(793,plain,
% 13.31/9.03 (until5(s8)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[792, 788])).
% 13.31/9.03 tff(794,assumption,(node4(s8)), introduced(assumption)).
% 13.31/9.03 tff(795,plain,
% 13.31/9.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(796,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(797,plain,
% 13.31/9.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[796, 795])).
% 13.31/9.03 tff(798,plain,
% 13.31/9.03 (m_main_v_request(s8)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[797, 21, 794])).
% 13.31/9.03 tff(799,plain,
% 13.31/9.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(800,plain,
% 13.31/9.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(801,plain,
% 13.31/9.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8))),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[800, 799])).
% 13.31/9.03 tff(802,plain,
% 13.31/9.03 (always3(s8)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[801, 36, 794])).
% 13.31/9.03 tff(803,plain,
% 13.31/9.03 (succ(s8, s9) <=> succ(s8, s9)),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(804,axiom,(succ(s8, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound9')).
% 13.31/9.03 tff(805,plain,
% 13.31/9.03 (succ(s8, s9)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[804, 803])).
% 13.31/9.03 tff(806,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(807,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(808,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[807, 806])).
% 13.31/9.03 tff(809,plain,
% 13.31/9.03 (trans(s8, s9)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[808, 805, 52])).
% 13.31/9.03 tff(810,plain,
% 13.31/9.03 (((~![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))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(811,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 13.31/9.03 inference(quant_inst,[status(thm)],[])).
% 13.31/9.03 tff(812,plain,
% 13.31/9.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9)),
% 13.31/9.03 inference(modus_ponens,[status(thm)],[811, 810])).
% 13.31/9.03 tff(813,plain,
% 13.31/9.03 ((~always3(s8)) | always3(s9)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[812, 125, 809])).
% 13.31/9.03 tff(814,plain,
% 13.31/9.03 (always3(s9)),
% 13.31/9.03 inference(unit_resolution,[status(thm)],[813, 802])).
% 13.31/9.03 tff(815,plain,
% 13.31/9.03 (((~![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)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(816,plain,
% 13.31/9.03 (((~m_main_v_state(s9, c_busy)) | (~always3(s9))) <=> ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 13.31/9.03 inference(rewrite,[status(thm)],[])).
% 13.31/9.03 tff(817,plain,
% 13.31/9.03 (((~![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))))),
% 13.31/9.04 inference(monotonicity,[status(thm)],[816])).
% 13.31/9.04 tff(818,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(transitivity,[status(thm)],[817, 815])).
% 13.31/9.04 tff(819,plain,
% 13.31/9.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(820,plain,
% 13.31/9.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[819, 818])).
% 13.31/9.04 tff(821,plain,
% 13.31/9.04 (~m_main_v_state(s9, c_busy)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[820, 85, 814])).
% 13.31/9.04 tff(822,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(823,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(824,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[823, 822])).
% 13.31/9.04 tff(825,plain,
% 13.31/9.04 (node2(s8, s9)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[824, 7, 809])).
% 13.31/9.04 tff(826,plain,
% 13.31/9.04 (((~![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(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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(827,plain,
% 13.31/9.04 ((~![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(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(828,plain,
% 13.31/9.04 ((~![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(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[827, 826])).
% 13.31/9.04 tff(829,plain,
% 13.31/9.04 ((~m_main_v_state(s8, c_ready)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[828, 73, 825])).
% 13.31/9.04 tff(830,plain,
% 13.31/9.04 (~m_main_v_state(s8, c_ready)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[829, 821, 798])).
% 13.31/9.04 tff(831,plain,
% 13.31/9.04 (~m_main_v_state(s8, c_busy)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[744, 85, 802])).
% 13.31/9.04 tff(832,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(833,plain,
% 13.31/9.04 ((~![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))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(834,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[833, 832])).
% 13.31/9.04 tff(835,plain,
% 13.31/9.04 ($false),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[834, 102, 831, 830])).
% 13.31/9.04 tff(836,plain,(~node4(s8)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.04 tff(837,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s8) | node4(s8) | (~until5(s8)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(838,plain,
% 13.31/9.04 ((node4(s8) | (~until5(s8)) | xuntil6(s8)) <=> (xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(839,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s8) | node4(s8) | (~until5(s8))))),
% 13.31/9.04 inference(monotonicity,[status(thm)],[838])).
% 13.31/9.04 tff(840,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 13.31/9.04 inference(transitivity,[status(thm)],[839, 837])).
% 13.31/9.04 tff(841,plain,
% 13.31/9.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(842,plain,
% 13.31/9.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[841, 840])).
% 13.31/9.04 tff(843,plain,
% 13.31/9.04 (xuntil6(s8) | (~until5(s8))),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[842, 294, 836])).
% 13.31/9.04 tff(844,plain,
% 13.31/9.04 (xuntil6(s8)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[843, 793])).
% 13.31/9.04 tff(845,plain,
% 13.31/9.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(846,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(847,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[846, 845])).
% 13.31/9.04 tff(848,plain,
% 13.31/9.04 ((~xuntil6(s8)) | until5(s9)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[847, 805, 312])).
% 13.31/9.04 tff(849,plain,
% 13.31/9.04 (until5(s9)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[848, 844])).
% 13.31/9.04 tff(850,assumption,(node4(s9)), introduced(assumption)).
% 13.31/9.04 tff(851,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(852,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(853,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[852, 851])).
% 13.31/9.04 tff(854,plain,
% 13.31/9.04 (m_main_v_request(s9)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[853, 21, 850])).
% 13.31/9.04 tff(855,plain,
% 13.31/9.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(856,plain,
% 13.31/9.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(857,plain,
% 13.31/9.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[856, 855])).
% 13.31/9.04 tff(858,plain,
% 13.31/9.04 (always3(s9)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[857, 36, 850])).
% 13.31/9.04 tff(859,plain,
% 13.31/9.04 (succ(s9, s10) <=> succ(s9, s10)),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(860,axiom,(succ(s9, s10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound10')).
% 13.31/9.04 tff(861,plain,
% 13.31/9.04 (succ(s9, s10)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[860, 859])).
% 13.31/9.04 tff(862,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(863,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(864,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[863, 862])).
% 13.31/9.04 tff(865,plain,
% 13.31/9.04 (trans(s9, s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[864, 861, 52])).
% 13.31/9.04 tff(866,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(867,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(868,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[867, 866])).
% 13.31/9.04 tff(869,plain,
% 13.31/9.04 ((~always3(s9)) | always3(s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[868, 125, 865])).
% 13.31/9.04 tff(870,plain,
% 13.31/9.04 (always3(s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[869, 858])).
% 13.31/9.04 tff(871,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(872,plain,
% 13.31/9.04 (((~m_main_v_state(s10, c_busy)) | (~always3(s10))) <=> ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(873,plain,
% 13.31/9.04 (((~![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))))),
% 13.31/9.04 inference(monotonicity,[status(thm)],[872])).
% 13.31/9.04 tff(874,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(transitivity,[status(thm)],[873, 871])).
% 13.31/9.04 tff(875,plain,
% 13.31/9.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(876,plain,
% 13.31/9.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[875, 874])).
% 13.31/9.04 tff(877,plain,
% 13.31/9.04 (~m_main_v_state(s10, c_busy)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[876, 85, 870])).
% 13.31/9.04 tff(878,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(879,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(880,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[879, 878])).
% 13.31/9.04 tff(881,plain,
% 13.31/9.04 (node2(s9, s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[880, 7, 865])).
% 13.31/9.04 tff(882,plain,
% 13.31/9.04 (((~![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(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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(883,plain,
% 13.31/9.04 ((~![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(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(884,plain,
% 13.31/9.04 ((~![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(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[883, 882])).
% 13.31/9.04 tff(885,plain,
% 13.31/9.04 ((~m_main_v_state(s9, c_ready)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[884, 73, 881])).
% 13.31/9.04 tff(886,plain,
% 13.31/9.04 (~m_main_v_state(s9, c_ready)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[885, 877, 854])).
% 13.31/9.04 tff(887,plain,
% 13.31/9.04 (~m_main_v_state(s9, c_busy)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[820, 85, 858])).
% 13.31/9.04 tff(888,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(889,plain,
% 13.31/9.04 ((~![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))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(890,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[889, 888])).
% 13.31/9.04 tff(891,plain,
% 13.31/9.04 ($false),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[890, 102, 887, 886])).
% 13.31/9.04 tff(892,plain,(~node4(s9)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.04 tff(893,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s9) | node4(s9) | (~until5(s9)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(894,plain,
% 13.31/9.04 ((node4(s9) | (~until5(s9)) | xuntil6(s9)) <=> (xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(895,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s9) | node4(s9) | (~until5(s9))))),
% 13.31/9.04 inference(monotonicity,[status(thm)],[894])).
% 13.31/9.04 tff(896,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 13.31/9.04 inference(transitivity,[status(thm)],[895, 893])).
% 13.31/9.04 tff(897,plain,
% 13.31/9.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(898,plain,
% 13.31/9.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[897, 896])).
% 13.31/9.04 tff(899,plain,
% 13.31/9.04 (xuntil6(s9) | (~until5(s9))),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[898, 294, 892])).
% 13.31/9.04 tff(900,plain,
% 13.31/9.04 (xuntil6(s9)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[899, 849])).
% 13.31/9.04 tff(901,plain,
% 13.31/9.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(902,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(903,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[902, 901])).
% 13.31/9.04 tff(904,plain,
% 13.31/9.04 ((~xuntil6(s9)) | until5(s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[903, 861, 312])).
% 13.31/9.04 tff(905,plain,
% 13.31/9.04 (until5(s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[904, 900])).
% 13.31/9.04 tff(906,assumption,(node4(s10)), introduced(assumption)).
% 13.31/9.04 tff(907,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(908,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(909,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[908, 907])).
% 13.31/9.04 tff(910,plain,
% 13.31/9.04 (m_main_v_request(s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[909, 21, 906])).
% 13.31/9.04 tff(911,plain,
% 13.31/9.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(912,plain,
% 13.31/9.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(913,plain,
% 13.31/9.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[912, 911])).
% 13.31/9.04 tff(914,plain,
% 13.31/9.04 (always3(s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[913, 36, 906])).
% 13.31/9.04 tff(915,plain,
% 13.31/9.04 (succ(s10, s11) <=> succ(s10, s11)),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(916,axiom,(succ(s10, s11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound11')).
% 13.31/9.04 tff(917,plain,
% 13.31/9.04 (succ(s10, s11)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[916, 915])).
% 13.31/9.04 tff(918,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(919,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(920,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[919, 918])).
% 13.31/9.04 tff(921,plain,
% 13.31/9.04 (trans(s10, s11)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[920, 917, 52])).
% 13.31/9.04 tff(922,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(923,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(924,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[923, 922])).
% 13.31/9.04 tff(925,plain,
% 13.31/9.04 ((~always3(s10)) | always3(s11)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[924, 125, 921])).
% 13.31/9.04 tff(926,plain,
% 13.31/9.04 (always3(s11)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[925, 914])).
% 13.31/9.04 tff(927,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(928,plain,
% 13.31/9.04 (((~m_main_v_state(s11, c_busy)) | (~always3(s11))) <=> ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(929,plain,
% 13.31/9.04 (((~![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))))),
% 13.31/9.04 inference(monotonicity,[status(thm)],[928])).
% 13.31/9.04 tff(930,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(transitivity,[status(thm)],[929, 927])).
% 13.31/9.04 tff(931,plain,
% 13.31/9.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(932,plain,
% 13.31/9.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[931, 930])).
% 13.31/9.04 tff(933,plain,
% 13.31/9.04 (~m_main_v_state(s11, c_busy)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[932, 85, 926])).
% 13.31/9.04 tff(934,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(935,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(936,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[935, 934])).
% 13.31/9.04 tff(937,plain,
% 13.31/9.04 (node2(s10, s11)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[936, 7, 921])).
% 13.31/9.04 tff(938,plain,
% 13.31/9.04 (((~![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(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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(939,plain,
% 13.31/9.04 ((~![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(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(940,plain,
% 13.31/9.04 ((~![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(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[939, 938])).
% 13.31/9.04 tff(941,plain,
% 13.31/9.04 ((~m_main_v_state(s10, c_ready)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[940, 73, 937])).
% 13.31/9.04 tff(942,plain,
% 13.31/9.04 (~m_main_v_state(s10, c_ready)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[941, 933, 910])).
% 13.31/9.04 tff(943,plain,
% 13.31/9.04 (~m_main_v_state(s10, c_busy)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[876, 85, 914])).
% 13.31/9.04 tff(944,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(945,plain,
% 13.31/9.04 ((~![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))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(946,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[945, 944])).
% 13.31/9.04 tff(947,plain,
% 13.31/9.04 ($false),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[946, 102, 943, 942])).
% 13.31/9.04 tff(948,plain,(~node4(s10)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.04 tff(949,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s10) | node4(s10) | (~until5(s10)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(950,plain,
% 13.31/9.04 ((node4(s10) | (~until5(s10)) | xuntil6(s10)) <=> (xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(951,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s10) | node4(s10) | (~until5(s10))))),
% 13.31/9.04 inference(monotonicity,[status(thm)],[950])).
% 13.31/9.04 tff(952,plain,
% 13.31/9.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 13.31/9.04 inference(transitivity,[status(thm)],[951, 949])).
% 13.31/9.04 tff(953,plain,
% 13.31/9.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(954,plain,
% 13.31/9.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[953, 952])).
% 13.31/9.04 tff(955,plain,
% 13.31/9.04 (xuntil6(s10) | (~until5(s10))),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[954, 294, 948])).
% 13.31/9.04 tff(956,plain,
% 13.31/9.04 (xuntil6(s10)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[955, 905])).
% 13.31/9.04 tff(957,plain,
% 13.31/9.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(958,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(959,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[958, 957])).
% 13.31/9.04 tff(960,plain,
% 13.31/9.04 ((~xuntil6(s10)) | until5(s11)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[959, 917, 312])).
% 13.31/9.04 tff(961,plain,
% 13.31/9.04 (until5(s11)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[960, 956])).
% 13.31/9.04 tff(962,assumption,(node4(s11)), introduced(assumption)).
% 13.31/9.04 tff(963,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(964,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(965,plain,
% 13.31/9.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[964, 963])).
% 13.31/9.04 tff(966,plain,
% 13.31/9.04 (m_main_v_request(s11)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[965, 21, 962])).
% 13.31/9.04 tff(967,plain,
% 13.31/9.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(968,plain,
% 13.31/9.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(969,plain,
% 13.31/9.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11))),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[968, 967])).
% 13.31/9.04 tff(970,plain,
% 13.31/9.04 (always3(s11)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[969, 36, 962])).
% 13.31/9.04 tff(971,plain,
% 13.31/9.04 (succ(s11, s12) <=> succ(s11, s12)),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(972,axiom,(succ(s11, s12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound12')).
% 13.31/9.04 tff(973,plain,
% 13.31/9.04 (succ(s11, s12)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[972, 971])).
% 13.31/9.04 tff(974,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(975,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(976,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[975, 974])).
% 13.31/9.04 tff(977,plain,
% 13.31/9.04 (trans(s11, s12)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[976, 973, 52])).
% 13.31/9.04 tff(978,plain,
% 13.31/9.04 (((~![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))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.04 tff(979,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 13.31/9.04 inference(quant_inst,[status(thm)],[])).
% 13.31/9.04 tff(980,plain,
% 13.31/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12)),
% 13.31/9.04 inference(modus_ponens,[status(thm)],[979, 978])).
% 13.31/9.04 tff(981,plain,
% 13.31/9.04 ((~always3(s11)) | always3(s12)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[980, 125, 977])).
% 13.31/9.04 tff(982,plain,
% 13.31/9.04 (always3(s12)),
% 13.31/9.04 inference(unit_resolution,[status(thm)],[981, 970])).
% 13.31/9.04 tff(983,plain,
% 13.31/9.04 (((~![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)))),
% 13.31/9.04 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(984,plain,
% 13.31/9.05 (((~m_main_v_state(s12, c_busy)) | (~always3(s12))) <=> ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(985,plain,
% 13.31/9.05 (((~![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))))),
% 13.31/9.05 inference(monotonicity,[status(thm)],[984])).
% 13.31/9.05 tff(986,plain,
% 13.31/9.05 (((~![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)))),
% 13.31/9.05 inference(transitivity,[status(thm)],[985, 983])).
% 13.31/9.05 tff(987,plain,
% 13.31/9.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(988,plain,
% 13.31/9.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[987, 986])).
% 13.31/9.05 tff(989,plain,
% 13.31/9.05 (~m_main_v_state(s12, c_busy)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[988, 85, 982])).
% 13.31/9.05 tff(990,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(991,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(992,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[991, 990])).
% 13.31/9.05 tff(993,plain,
% 13.31/9.05 (node2(s11, s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[992, 7, 977])).
% 13.31/9.05 tff(994,plain,
% 13.31/9.05 (((~![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(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)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(995,plain,
% 13.31/9.05 ((~![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(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(996,plain,
% 13.31/9.05 ((~![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(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[995, 994])).
% 13.31/9.05 tff(997,plain,
% 13.31/9.05 ((~m_main_v_state(s11, c_ready)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[996, 73, 993])).
% 13.31/9.05 tff(998,plain,
% 13.31/9.05 (~m_main_v_state(s11, c_ready)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[997, 989, 966])).
% 13.31/9.05 tff(999,plain,
% 13.31/9.05 (~m_main_v_state(s11, c_busy)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[932, 85, 970])).
% 13.31/9.05 tff(1000,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1001,plain,
% 13.31/9.05 ((~![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))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1002,plain,
% 13.31/9.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 13.31/9.05 tff(1003,plain,
% 13.31/9.05 ($false),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1002, 102, 999, 998])).
% 13.31/9.05 tff(1004,plain,(~node4(s11)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.05 tff(1005,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s11) | node4(s11) | (~until5(s11)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1006,plain,
% 13.31/9.05 ((node4(s11) | (~until5(s11)) | xuntil6(s11)) <=> (xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1007,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s11) | node4(s11) | (~until5(s11))))),
% 13.31/9.05 inference(monotonicity,[status(thm)],[1006])).
% 13.31/9.05 tff(1008,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 13.31/9.05 inference(transitivity,[status(thm)],[1007, 1005])).
% 13.31/9.05 tff(1009,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1010,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 13.31/9.05 tff(1011,plain,
% 13.31/9.05 (xuntil6(s11) | (~until5(s11))),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1010, 294, 1004])).
% 13.31/9.05 tff(1012,plain,
% 13.31/9.05 (xuntil6(s11)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1011, 961])).
% 13.31/9.05 tff(1013,plain,
% 13.31/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1014,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1015,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 13.31/9.05 tff(1016,plain,
% 13.31/9.05 ((~xuntil6(s11)) | until5(s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1015, 973, 312])).
% 13.31/9.05 tff(1017,plain,
% 13.31/9.05 (until5(s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1016, 1012])).
% 13.31/9.05 tff(1018,assumption,(node4(s12)), introduced(assumption)).
% 13.31/9.05 tff(1019,plain,
% 13.31/9.05 (((~![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)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1020,plain,
% 13.31/9.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1021,plain,
% 13.31/9.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1020, 1019])).
% 13.31/9.05 tff(1022,plain,
% 13.31/9.05 (m_main_v_request(s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1021, 21, 1018])).
% 13.31/9.05 tff(1023,plain,
% 13.31/9.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1024,plain,
% 13.31/9.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1025,plain,
% 13.31/9.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 13.31/9.05 tff(1026,plain,
% 13.31/9.05 (always3(s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1025, 36, 1018])).
% 13.31/9.05 tff(1027,plain,
% 13.31/9.05 (succ(s12, s13) <=> succ(s12, s13)),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1028,axiom,(succ(s12, s13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound13')).
% 13.31/9.05 tff(1029,plain,
% 13.31/9.05 (succ(s12, s13)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 13.31/9.05 tff(1030,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1031,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1032,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 13.31/9.05 tff(1033,plain,
% 13.31/9.05 (trans(s12, s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1032, 1029, 52])).
% 13.31/9.05 tff(1034,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1035,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1036,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1035, 1034])).
% 13.31/9.05 tff(1037,plain,
% 13.31/9.05 ((~always3(s12)) | always3(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1036, 125, 1033])).
% 13.31/9.05 tff(1038,plain,
% 13.31/9.05 (always3(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1037, 1026])).
% 13.31/9.05 tff(1039,plain,
% 13.31/9.05 (((~![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)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1040,plain,
% 13.31/9.05 (((~m_main_v_state(s13, c_busy)) | (~always3(s13))) <=> ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1041,plain,
% 13.31/9.05 (((~![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))))),
% 13.31/9.05 inference(monotonicity,[status(thm)],[1040])).
% 13.31/9.05 tff(1042,plain,
% 13.31/9.05 (((~![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)))),
% 13.31/9.05 inference(transitivity,[status(thm)],[1041, 1039])).
% 13.31/9.05 tff(1043,plain,
% 13.31/9.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1044,plain,
% 13.31/9.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1043, 1042])).
% 13.31/9.05 tff(1045,plain,
% 13.31/9.05 (~m_main_v_state(s13, c_busy)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1044, 85, 1038])).
% 13.31/9.05 tff(1046,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1047,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1048,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1047, 1046])).
% 13.31/9.05 tff(1049,plain,
% 13.31/9.05 (node2(s12, s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1048, 7, 1033])).
% 13.31/9.05 tff(1050,plain,
% 13.31/9.05 (((~![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(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)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1051,plain,
% 13.31/9.05 ((~![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(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1052,plain,
% 13.31/9.05 ((~![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(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1051, 1050])).
% 13.31/9.05 tff(1053,plain,
% 13.31/9.05 ((~m_main_v_state(s12, c_ready)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1052, 73, 1049])).
% 13.31/9.05 tff(1054,plain,
% 13.31/9.05 (~m_main_v_state(s12, c_ready)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1053, 1045, 1022])).
% 13.31/9.05 tff(1055,plain,
% 13.31/9.05 (~m_main_v_state(s12, c_busy)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[988, 85, 1026])).
% 13.31/9.05 tff(1056,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1057,plain,
% 13.31/9.05 ((~![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))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1058,plain,
% 13.31/9.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 13.31/9.05 tff(1059,plain,
% 13.31/9.05 ($false),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1058, 102, 1055, 1054])).
% 13.31/9.05 tff(1060,plain,(~node4(s12)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.05 tff(1061,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s12) | node4(s12) | (~until5(s12)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1062,plain,
% 13.31/9.05 ((node4(s12) | (~until5(s12)) | xuntil6(s12)) <=> (xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1063,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s12) | node4(s12) | (~until5(s12))))),
% 13.31/9.05 inference(monotonicity,[status(thm)],[1062])).
% 13.31/9.05 tff(1064,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 13.31/9.05 inference(transitivity,[status(thm)],[1063, 1061])).
% 13.31/9.05 tff(1065,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1066,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 13.31/9.05 tff(1067,plain,
% 13.31/9.05 (xuntil6(s12) | (~until5(s12))),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1066, 294, 1060])).
% 13.31/9.05 tff(1068,plain,
% 13.31/9.05 (xuntil6(s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1067, 1017])).
% 13.31/9.05 tff(1069,plain,
% 13.31/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1070,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1071,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 13.31/9.05 tff(1072,plain,
% 13.31/9.05 ((~xuntil6(s12)) | until5(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1071, 1029, 312])).
% 13.31/9.05 tff(1073,plain,
% 13.31/9.05 (until5(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1072, 1068])).
% 13.31/9.05 tff(1074,assumption,(node4(s13)), introduced(assumption)).
% 13.31/9.05 tff(1075,plain,
% 13.31/9.05 (((~![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)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1076,plain,
% 13.31/9.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1077,plain,
% 13.31/9.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1076, 1075])).
% 13.31/9.05 tff(1078,plain,
% 13.31/9.05 (m_main_v_request(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1077, 21, 1074])).
% 13.31/9.05 tff(1079,plain,
% 13.31/9.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1080,plain,
% 13.31/9.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1081,plain,
% 13.31/9.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 13.31/9.05 tff(1082,plain,
% 13.31/9.05 (always3(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1081, 36, 1074])).
% 13.31/9.05 tff(1083,plain,
% 13.31/9.05 (succ(s13, s14) <=> succ(s13, s14)),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1084,axiom,(succ(s13, s14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound14')).
% 13.31/9.05 tff(1085,plain,
% 13.31/9.05 (succ(s13, s14)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 13.31/9.05 tff(1086,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1087,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1088,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 13.31/9.05 tff(1089,plain,
% 13.31/9.05 (trans(s13, s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1088, 1085, 52])).
% 13.31/9.05 tff(1090,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1091,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1092,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 13.31/9.05 tff(1093,plain,
% 13.31/9.05 ((~always3(s13)) | always3(s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1092, 125, 1089])).
% 13.31/9.05 tff(1094,plain,
% 13.31/9.05 (always3(s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1093, 1082])).
% 13.31/9.05 tff(1095,plain,
% 13.31/9.05 (((~![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)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1096,plain,
% 13.31/9.05 (((~m_main_v_state(s14, c_busy)) | (~always3(s14))) <=> ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1097,plain,
% 13.31/9.05 (((~![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))))),
% 13.31/9.05 inference(monotonicity,[status(thm)],[1096])).
% 13.31/9.05 tff(1098,plain,
% 13.31/9.05 (((~![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)))),
% 13.31/9.05 inference(transitivity,[status(thm)],[1097, 1095])).
% 13.31/9.05 tff(1099,plain,
% 13.31/9.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1100,plain,
% 13.31/9.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 13.31/9.05 tff(1101,plain,
% 13.31/9.05 (~m_main_v_state(s14, c_busy)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1100, 85, 1094])).
% 13.31/9.05 tff(1102,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1103,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1104,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 13.31/9.05 tff(1105,plain,
% 13.31/9.05 (node2(s13, s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1104, 7, 1089])).
% 13.31/9.05 tff(1106,plain,
% 13.31/9.05 (((~![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)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1107,plain,
% 13.31/9.05 ((~![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)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1108,plain,
% 13.31/9.05 ((~![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))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 13.31/9.05 tff(1109,plain,
% 13.31/9.05 ((~m_main_v_state(s13, c_ready)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1108, 73, 1105])).
% 13.31/9.05 tff(1110,plain,
% 13.31/9.05 (~m_main_v_state(s13, c_ready)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1109, 1101, 1078])).
% 13.31/9.05 tff(1111,plain,
% 13.31/9.05 (~m_main_v_state(s13, c_busy)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1044, 85, 1082])).
% 13.31/9.05 tff(1112,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1113,plain,
% 13.31/9.05 ((~![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))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1114,plain,
% 13.31/9.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1113, 1112])).
% 13.31/9.05 tff(1115,plain,
% 13.31/9.05 ($false),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1114, 102, 1111, 1110])).
% 13.31/9.05 tff(1116,plain,(~node4(s13)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.05 tff(1117,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s13) | node4(s13) | (~until5(s13)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1118,plain,
% 13.31/9.05 ((node4(s13) | (~until5(s13)) | xuntil6(s13)) <=> (xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1119,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s13) | node4(s13) | (~until5(s13))))),
% 13.31/9.05 inference(monotonicity,[status(thm)],[1118])).
% 13.31/9.05 tff(1120,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 13.31/9.05 inference(transitivity,[status(thm)],[1119, 1117])).
% 13.31/9.05 tff(1121,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1122,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 13.31/9.05 tff(1123,plain,
% 13.31/9.05 (xuntil6(s13) | (~until5(s13))),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1122, 294, 1116])).
% 13.31/9.05 tff(1124,plain,
% 13.31/9.05 (xuntil6(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1123, 1073])).
% 13.31/9.05 tff(1125,plain,
% 13.31/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1126,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1127,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 13.31/9.05 tff(1128,plain,
% 13.31/9.05 ((~xuntil6(s13)) | until5(s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1127, 1085, 312])).
% 13.31/9.05 tff(1129,plain,
% 13.31/9.05 (until5(s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1128, 1124])).
% 13.31/9.05 tff(1130,assumption,(~xuntil6(s15)), introduced(assumption)).
% 13.31/9.05 tff(1131,assumption,(~always3(s15)), introduced(assumption)).
% 13.31/9.05 tff(1132,plain,
% 13.31/9.05 (succ(s14, s15) <=> succ(s14, s15)),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1133,axiom,(succ(s14, s15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound15')).
% 13.31/9.05 tff(1134,plain,
% 13.31/9.05 (succ(s14, s15)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1133, 1132])).
% 13.31/9.05 tff(1135,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1136,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1137,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 13.31/9.05 tff(1138,plain,
% 13.31/9.05 (trans(s14, s15)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1137, 1134, 52])).
% 13.31/9.05 tff(1139,plain,
% 13.31/9.05 (((~![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))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1140,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1141,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 13.31/9.05 tff(1142,plain,
% 13.31/9.05 ((~always3(s14)) | always3(s15)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1141, 125, 1138])).
% 13.31/9.05 tff(1143,plain,
% 13.31/9.05 (~always3(s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1142, 1131])).
% 13.31/9.05 tff(1144,plain,
% 13.31/9.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1145,plain,
% 13.31/9.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1146,plain,
% 13.31/9.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 13.31/9.05 tff(1147,plain,
% 13.31/9.05 (~node4(s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1146, 36, 1143])).
% 13.31/9.05 tff(1148,plain,
% 13.31/9.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1149,plain,
% 13.31/9.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1150,plain,
% 13.31/9.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 13.31/9.05 tff(1151,plain,
% 13.31/9.05 (~node4(s15)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1150, 36, 1131])).
% 13.31/9.05 tff(1152,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s15) | node4(s15) | (~until5(s15)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1153,plain,
% 13.31/9.05 ((node4(s15) | (~until5(s15)) | xuntil6(s15)) <=> (xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1154,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s15) | node4(s15) | (~until5(s15))))),
% 13.31/9.05 inference(monotonicity,[status(thm)],[1153])).
% 13.31/9.05 tff(1155,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 13.31/9.05 inference(transitivity,[status(thm)],[1154, 1152])).
% 13.31/9.05 tff(1156,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1157,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 13.31/9.05 tff(1158,plain,
% 13.31/9.05 (node4(s15) | (~until5(s15))),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1157, 294, 1130])).
% 13.31/9.05 tff(1159,plain,
% 13.31/9.05 (~until5(s15)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1158, 1151])).
% 13.31/9.05 tff(1160,plain,
% 13.31/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1161,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1162,plain,
% 13.31/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15)),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 13.31/9.05 tff(1163,plain,
% 13.31/9.05 ((~xuntil6(s14)) | until5(s15)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1162, 1134, 312])).
% 13.31/9.05 tff(1164,plain,
% 13.31/9.05 (~xuntil6(s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1163, 1159])).
% 13.31/9.05 tff(1165,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s14) | node4(s14) | (~until5(s14)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1166,plain,
% 13.31/9.05 ((node4(s14) | (~until5(s14)) | xuntil6(s14)) <=> (xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 13.31/9.05 inference(rewrite,[status(thm)],[])).
% 13.31/9.05 tff(1167,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s14) | node4(s14) | (~until5(s14))))),
% 13.31/9.05 inference(monotonicity,[status(thm)],[1166])).
% 13.31/9.05 tff(1168,plain,
% 13.31/9.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 13.31/9.05 inference(transitivity,[status(thm)],[1167, 1165])).
% 13.31/9.05 tff(1169,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))),
% 13.31/9.05 inference(quant_inst,[status(thm)],[])).
% 13.31/9.05 tff(1170,plain,
% 13.31/9.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14))),
% 13.31/9.05 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 13.31/9.05 tff(1171,plain,
% 13.31/9.05 (~until5(s14)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1170, 294, 1164, 1147])).
% 13.31/9.05 tff(1172,plain,
% 13.31/9.05 (~xuntil6(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1128, 1171])).
% 13.31/9.05 tff(1173,plain,
% 13.31/9.05 (~always3(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1093, 1143])).
% 13.31/9.05 tff(1174,plain,
% 13.31/9.05 (~node4(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1081, 36, 1173])).
% 13.31/9.05 tff(1175,plain,
% 13.31/9.05 (xuntil6(s13) | (~until5(s13))),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1122, 294, 1174])).
% 13.31/9.05 tff(1176,plain,
% 13.31/9.05 (~until5(s13)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1175, 1172])).
% 13.31/9.05 tff(1177,plain,
% 13.31/9.05 (~xuntil6(s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1072, 1176])).
% 13.31/9.05 tff(1178,plain,
% 13.31/9.05 (~always3(s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1037, 1173])).
% 13.31/9.05 tff(1179,plain,
% 13.31/9.05 (~node4(s12)),
% 13.31/9.05 inference(unit_resolution,[status(thm)],[1025, 36, 1178])).
% 13.31/9.06 tff(1180,plain,
% 13.31/9.06 (xuntil6(s12) | (~until5(s12))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1066, 294, 1179])).
% 13.31/9.06 tff(1181,plain,
% 13.31/9.06 (~until5(s12)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1180, 1177])).
% 13.31/9.06 tff(1182,plain,
% 13.31/9.06 (~xuntil6(s11)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1016, 1181])).
% 13.31/9.06 tff(1183,plain,
% 13.31/9.06 (~always3(s11)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[981, 1178])).
% 13.31/9.06 tff(1184,plain,
% 13.31/9.06 (~node4(s11)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[969, 36, 1183])).
% 13.31/9.06 tff(1185,plain,
% 13.31/9.06 (xuntil6(s11) | (~until5(s11))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1010, 294, 1184])).
% 13.31/9.06 tff(1186,plain,
% 13.31/9.06 (~until5(s11)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1185, 1182])).
% 13.31/9.06 tff(1187,plain,
% 13.31/9.06 (~xuntil6(s10)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[960, 1186])).
% 13.31/9.06 tff(1188,plain,
% 13.31/9.06 (~always3(s10)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[925, 1183])).
% 13.31/9.06 tff(1189,plain,
% 13.31/9.06 (~node4(s10)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[913, 36, 1188])).
% 13.31/9.06 tff(1190,plain,
% 13.31/9.06 (xuntil6(s10) | (~until5(s10))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[954, 294, 1189])).
% 13.31/9.06 tff(1191,plain,
% 13.31/9.06 (~until5(s10)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1190, 1187])).
% 13.31/9.06 tff(1192,plain,
% 13.31/9.06 (~xuntil6(s9)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[904, 1191])).
% 13.31/9.06 tff(1193,plain,
% 13.31/9.06 (~always3(s9)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[869, 1188])).
% 13.31/9.06 tff(1194,plain,
% 13.31/9.06 (~node4(s9)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[857, 36, 1193])).
% 13.31/9.06 tff(1195,plain,
% 13.31/9.06 (xuntil6(s9) | (~until5(s9))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[898, 294, 1194])).
% 13.31/9.06 tff(1196,plain,
% 13.31/9.06 (~until5(s9)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1195, 1192])).
% 13.31/9.06 tff(1197,plain,
% 13.31/9.06 (~xuntil6(s8)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[848, 1196])).
% 13.31/9.06 tff(1198,plain,
% 13.31/9.06 (~always3(s8)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[813, 1193])).
% 13.31/9.06 tff(1199,plain,
% 13.31/9.06 (~node4(s8)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[801, 36, 1198])).
% 13.31/9.06 tff(1200,plain,
% 13.31/9.06 (xuntil6(s8) | (~until5(s8))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[842, 294, 1199])).
% 13.31/9.06 tff(1201,plain,
% 13.31/9.06 (~until5(s8)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1200, 1197])).
% 13.31/9.06 tff(1202,plain,
% 13.31/9.06 (~always3(s7)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[737, 1198])).
% 13.31/9.06 tff(1203,plain,
% 13.31/9.06 (~always3(s6)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[696, 1202])).
% 13.31/9.06 tff(1204,plain,
% 13.31/9.06 (~always3(s5)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[615, 1203])).
% 13.31/9.06 tff(1205,plain,
% 13.31/9.06 (~always3(s4)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[548, 1204])).
% 13.31/9.06 tff(1206,plain,
% 13.31/9.06 (~always3(s3)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[499, 1205])).
% 13.31/9.06 tff(1207,plain,
% 13.31/9.06 (~always3(s2)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[420, 1206])).
% 13.31/9.06 tff(1208,plain,
% 13.31/9.06 (~always3(s1)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[328, 1207])).
% 13.31/9.06 tff(1209,plain,
% 13.31/9.06 (~node4(s1)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[369, 36, 1208])).
% 13.31/9.06 tff(1210,plain,
% 13.31/9.06 (~always3(s0)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[340, 1208])).
% 13.31/9.06 tff(1211,plain,
% 13.31/9.06 (~node4(s0)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[344, 36, 1210])).
% 13.31/9.06 tff(1212,plain,
% 13.31/9.06 (xuntil6(s0)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[355, 1211])).
% 13.31/9.06 tff(1213,plain,
% 13.31/9.06 (until5(s1)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[360, 1212])).
% 13.31/9.06 tff(1214,plain,
% 13.31/9.06 (xuntil6(s1)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[405, 294, 1213, 1209])).
% 13.31/9.06 tff(1215,plain,
% 13.31/9.06 (until5(s2)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[319, 1214])).
% 13.31/9.06 tff(1216,plain,
% 13.31/9.06 (~node4(s2)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[283, 36, 1207])).
% 13.31/9.06 tff(1217,plain,
% 13.31/9.06 (xuntil6(s2) | (~until5(s2))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[300, 294, 1216])).
% 13.31/9.06 tff(1218,plain,
% 13.31/9.06 (xuntil6(s2)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1217, 1215])).
% 13.31/9.06 tff(1219,plain,
% 13.31/9.06 (until5(s3)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[478, 1218])).
% 13.31/9.06 tff(1220,plain,
% 13.31/9.06 (~node4(s3)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[487, 36, 1206])).
% 13.31/9.06 tff(1221,plain,
% 13.31/9.06 (xuntil6(s3) | (~until5(s3))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[528, 294, 1220])).
% 13.31/9.06 tff(1222,plain,
% 13.31/9.06 (xuntil6(s3)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1221, 1219])).
% 13.31/9.06 tff(1223,plain,
% 13.31/9.06 (until5(s4)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[534, 1222])).
% 13.31/9.06 tff(1224,plain,
% 13.31/9.06 (~node4(s4)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[552, 36, 1205])).
% 13.31/9.06 tff(1225,plain,
% 13.31/9.06 (xuntil6(s4) | (~until5(s4))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[576, 294, 1224])).
% 13.31/9.06 tff(1226,plain,
% 13.31/9.06 (xuntil6(s4)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1225, 1223])).
% 13.31/9.06 tff(1227,plain,
% 13.31/9.06 (until5(s5)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[569, 1226])).
% 13.31/9.06 tff(1228,plain,
% 13.31/9.06 (~node4(s5)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[556, 36, 1204])).
% 13.31/9.06 tff(1229,plain,
% 13.31/9.06 (xuntil6(s5) | (~until5(s5))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[563, 294, 1228])).
% 13.31/9.06 tff(1230,plain,
% 13.31/9.06 (xuntil6(s5)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1229, 1227])).
% 13.31/9.06 tff(1231,plain,
% 13.31/9.06 (until5(s6)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[670, 1230])).
% 13.31/9.06 tff(1232,plain,
% 13.31/9.06 (~node4(s6)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[700, 36, 1203])).
% 13.31/9.06 tff(1233,plain,
% 13.31/9.06 (xuntil6(s6) | (~until5(s6))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[710, 294, 1232])).
% 13.31/9.06 tff(1234,plain,
% 13.31/9.06 (xuntil6(s6)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1233, 1231])).
% 13.31/9.06 tff(1235,plain,
% 13.31/9.06 (until5(s7)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[716, 1234])).
% 13.31/9.06 tff(1236,plain,
% 13.31/9.06 (~node4(s7)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[676, 36, 1202])).
% 13.31/9.06 tff(1237,plain,
% 13.31/9.06 (xuntil6(s7) | (~until5(s7))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[683, 294, 1236])).
% 13.31/9.06 tff(1238,plain,
% 13.31/9.06 (xuntil6(s7)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1237, 1235])).
% 13.31/9.06 tff(1239,plain,
% 13.31/9.06 ($false),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[792, 1238, 1201])).
% 13.31/9.06 tff(1240,plain,(always3(s15) | xuntil6(s15)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.06 tff(1241,plain,
% 13.31/9.06 (always3(s15)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1240, 1130])).
% 13.31/9.06 tff(1242,plain,
% 13.31/9.06 (((~![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)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1243,plain,
% 13.31/9.06 (((~m_main_v_state(s15, c_busy)) | (~always3(s15))) <=> ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1244,plain,
% 13.31/9.06 (((~![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))))),
% 13.31/9.06 inference(monotonicity,[status(thm)],[1243])).
% 13.31/9.06 tff(1245,plain,
% 13.31/9.06 (((~![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)))),
% 13.31/9.06 inference(transitivity,[status(thm)],[1244, 1242])).
% 13.31/9.06 tff(1246,plain,
% 13.31/9.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1247,plain,
% 13.31/9.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 13.31/9.06 tff(1248,plain,
% 13.31/9.06 (~m_main_v_state(s15, c_busy)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1247, 85, 1241])).
% 13.31/9.06 tff(1249,plain,
% 13.31/9.06 (succ(s15, s16) <=> succ(s15, s16)),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1250,axiom,(succ(s15, s16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound16')).
% 13.31/9.06 tff(1251,plain,
% 13.31/9.06 (succ(s15, s16)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 13.31/9.06 tff(1252,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1253,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1254,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1253, 1252])).
% 13.31/9.06 tff(1255,plain,
% 13.31/9.06 (trans(s15, s16)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1254, 1251, 52])).
% 13.31/9.06 tff(1256,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1257,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1258,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1257, 1256])).
% 13.31/9.06 tff(1259,plain,
% 13.31/9.06 ((~always3(s15)) | always3(s16)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1258, 125, 1255])).
% 13.31/9.06 tff(1260,plain,
% 13.31/9.06 (always3(s16)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1259, 1241])).
% 13.31/9.06 tff(1261,plain,
% 13.31/9.06 (((~![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)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1262,plain,
% 13.31/9.06 (((~m_main_v_state(s16, c_busy)) | (~always3(s16))) <=> ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1263,plain,
% 13.31/9.06 (((~![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))))),
% 13.31/9.06 inference(monotonicity,[status(thm)],[1262])).
% 13.31/9.06 tff(1264,plain,
% 13.31/9.06 (((~![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)))),
% 13.31/9.06 inference(transitivity,[status(thm)],[1263, 1261])).
% 13.31/9.06 tff(1265,plain,
% 13.31/9.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1266,plain,
% 13.31/9.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 13.31/9.06 tff(1267,plain,
% 13.31/9.06 (~m_main_v_state(s16, c_busy)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1266, 85, 1260])).
% 13.31/9.06 tff(1268,assumption,(until5(s15)), introduced(assumption)).
% 13.31/9.06 tff(1269,plain,
% 13.31/9.06 (xuntil6(s15) | node4(s15)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1157, 294, 1268])).
% 13.31/9.06 tff(1270,plain,
% 13.31/9.06 (node4(s15)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1269, 1130])).
% 13.31/9.06 tff(1271,plain,
% 13.31/9.06 (((~![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)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1272,plain,
% 13.31/9.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1273,plain,
% 13.31/9.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 13.31/9.06 tff(1274,plain,
% 13.31/9.06 (m_main_v_request(s15)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1273, 21, 1270])).
% 13.31/9.06 tff(1275,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1276,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1277,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 13.31/9.06 tff(1278,plain,
% 13.31/9.06 (node2(s15, s16)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1277, 7, 1255])).
% 13.31/9.06 tff(1279,plain,
% 13.31/9.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1280,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1281,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1280, 1279])).
% 13.31/9.06 tff(1282,plain,
% 13.31/9.06 ((~m_main_v_state(s15, c_ready)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1281, 73, 1278])).
% 13.31/9.06 tff(1283,plain,
% 13.31/9.06 (~m_main_v_state(s15, c_ready)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1282, 1274, 1267])).
% 13.31/9.06 tff(1284,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1285,plain,
% 13.31/9.06 ((~![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))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1286,plain,
% 13.31/9.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 13.31/9.06 tff(1287,plain,
% 13.31/9.06 ($false),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1286, 102, 1248, 1283])).
% 13.31/9.06 tff(1288,plain,(xuntil6(s15) | (~until5(s15))), inference(lemma,lemma(discharge,[]))).
% 13.31/9.06 tff(1289,plain,
% 13.31/9.06 (~until5(s15)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1288, 1130])).
% 13.31/9.06 tff(1290,plain,
% 13.31/9.06 (~xuntil6(s14)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1163, 1289])).
% 13.31/9.06 tff(1291,assumption,(until5(s14)), introduced(assumption)).
% 13.31/9.06 tff(1292,plain,
% 13.31/9.06 (xuntil6(s14) | node4(s14)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1170, 294, 1291])).
% 13.31/9.06 tff(1293,plain,
% 13.31/9.06 (node4(s14)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1292, 1290])).
% 13.31/9.06 tff(1294,plain,
% 13.31/9.06 (((~![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)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1295,plain,
% 13.31/9.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1296,plain,
% 13.31/9.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 13.31/9.06 tff(1297,plain,
% 13.31/9.06 (m_main_v_request(s14)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1296, 21, 1293])).
% 13.31/9.06 tff(1298,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1299,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1300,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 13.31/9.06 tff(1301,plain,
% 13.31/9.06 (node2(s14, s15)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1300, 7, 1138])).
% 13.31/9.06 tff(1302,plain,
% 13.31/9.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1303,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1304,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1303, 1302])).
% 13.31/9.06 tff(1305,plain,
% 13.31/9.06 ((~m_main_v_state(s14, c_ready)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1304, 73, 1301])).
% 13.31/9.06 tff(1306,plain,
% 13.31/9.06 (~m_main_v_state(s14, c_ready)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1305, 1297, 1248])).
% 13.31/9.06 tff(1307,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1308,plain,
% 13.31/9.06 ((~![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))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1309,plain,
% 13.31/9.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 13.31/9.06 tff(1310,plain,
% 13.31/9.06 (m_main_v_state(s14, c_busy)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1309, 102, 1306])).
% 13.31/9.06 tff(1311,plain,
% 13.31/9.06 (always3(s14)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1146, 36, 1293])).
% 13.31/9.06 tff(1312,plain,
% 13.31/9.06 ($false),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1100, 85, 1311, 1310])).
% 13.31/9.06 tff(1313,plain,(xuntil6(s15) | (~until5(s14))), inference(lemma,lemma(discharge,[]))).
% 13.31/9.06 tff(1314,plain,
% 13.31/9.06 (xuntil6(s15)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1313, 1129])).
% 13.31/9.06 tff(1315,plain,
% 13.31/9.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1316,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1317,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 13.31/9.06 tff(1318,plain,
% 13.31/9.06 ((~xuntil6(s15)) | until5(s16)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1317, 1251, 312])).
% 13.31/9.06 tff(1319,plain,
% 13.31/9.06 (until5(s16)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1318, 1314])).
% 13.31/9.06 tff(1320,assumption,(~xuntil6(s37)), introduced(assumption)).
% 13.31/9.06 tff(1321,assumption,(until5(s16)), introduced(assumption)).
% 13.31/9.06 tff(1322,assumption,(~always3(s37)), introduced(assumption)).
% 13.31/9.06 tff(1323,plain,
% 13.31/9.06 (succ(s36, s37) <=> succ(s36, s37)),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1324,axiom,(succ(s36, s37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound37')).
% 13.31/9.06 tff(1325,plain,
% 13.31/9.06 (succ(s36, s37)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 13.31/9.06 tff(1326,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1327,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1328,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 13.31/9.06 tff(1329,plain,
% 13.31/9.06 (trans(s36, s37)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1328, 1325, 52])).
% 13.31/9.06 tff(1330,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1331,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1332,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 13.31/9.06 tff(1333,plain,
% 13.31/9.06 ((~always3(s36)) | always3(s37)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1332, 125, 1329])).
% 13.31/9.06 tff(1334,plain,
% 13.31/9.06 (~always3(s36)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1333, 1322])).
% 13.31/9.06 tff(1335,plain,
% 13.31/9.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1336,plain,
% 13.31/9.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1337,plain,
% 13.31/9.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 13.31/9.06 tff(1338,plain,
% 13.31/9.06 (~node4(s36)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1337, 36, 1334])).
% 13.31/9.06 tff(1339,plain,
% 13.31/9.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1340,plain,
% 13.31/9.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1341,plain,
% 13.31/9.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 13.31/9.06 tff(1342,plain,
% 13.31/9.06 (~node4(s37)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1341, 36, 1322])).
% 13.31/9.06 tff(1343,plain,
% 13.31/9.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s37) | node4(s37) | (~until5(s37)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1344,plain,
% 13.31/9.06 ((node4(s37) | (~until5(s37)) | xuntil6(s37)) <=> (xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1345,plain,
% 13.31/9.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s37) | node4(s37) | (~until5(s37))))),
% 13.31/9.06 inference(monotonicity,[status(thm)],[1344])).
% 13.31/9.06 tff(1346,plain,
% 13.31/9.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 13.31/9.06 inference(transitivity,[status(thm)],[1345, 1343])).
% 13.31/9.06 tff(1347,plain,
% 13.31/9.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1348,plain,
% 13.31/9.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 13.31/9.06 tff(1349,plain,
% 13.31/9.06 (node4(s37) | (~until5(s37))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1348, 294, 1320])).
% 13.31/9.06 tff(1350,plain,
% 13.31/9.06 (~until5(s37)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1349, 1342])).
% 13.31/9.06 tff(1351,plain,
% 13.31/9.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1352,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1353,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 13.31/9.06 tff(1354,plain,
% 13.31/9.06 ((~xuntil6(s36)) | until5(s37)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1353, 1325, 312])).
% 13.31/9.06 tff(1355,plain,
% 13.31/9.06 (~xuntil6(s36)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1354, 1350])).
% 13.31/9.06 tff(1356,plain,
% 13.31/9.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s36) | node4(s36) | (~until5(s36)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1357,plain,
% 13.31/9.06 ((node4(s36) | (~until5(s36)) | xuntil6(s36)) <=> (xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1358,plain,
% 13.31/9.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s36) | node4(s36) | (~until5(s36))))),
% 13.31/9.06 inference(monotonicity,[status(thm)],[1357])).
% 13.31/9.06 tff(1359,plain,
% 13.31/9.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 13.31/9.06 inference(transitivity,[status(thm)],[1358, 1356])).
% 13.31/9.06 tff(1360,plain,
% 13.31/9.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1361,plain,
% 13.31/9.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 13.31/9.06 tff(1362,plain,
% 13.31/9.06 (~until5(s36)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1361, 294, 1355, 1338])).
% 13.31/9.06 tff(1363,plain,
% 13.31/9.06 (succ(s35, s36) <=> succ(s35, s36)),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1364,axiom,(succ(s35, s36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound36')).
% 13.31/9.06 tff(1365,plain,
% 13.31/9.06 (succ(s35, s36)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 13.31/9.06 tff(1366,plain,
% 13.31/9.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1367,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1368,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 13.31/9.06 tff(1369,plain,
% 13.31/9.06 ((~xuntil6(s35)) | until5(s36)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1368, 1365, 312])).
% 13.31/9.06 tff(1370,plain,
% 13.31/9.06 (~xuntil6(s35)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1369, 1362])).
% 13.31/9.06 tff(1371,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1372,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1373,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 13.31/9.06 tff(1374,plain,
% 13.31/9.06 (trans(s35, s36)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1373, 1365, 52])).
% 13.31/9.06 tff(1375,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1376,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1377,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 13.31/9.06 tff(1378,plain,
% 13.31/9.06 ((~always3(s35)) | always3(s36)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1377, 125, 1374])).
% 13.31/9.06 tff(1379,plain,
% 13.31/9.06 (~always3(s35)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1378, 1334])).
% 13.31/9.06 tff(1380,plain,
% 13.31/9.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1381,plain,
% 13.31/9.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1382,plain,
% 13.31/9.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 13.31/9.06 tff(1383,plain,
% 13.31/9.06 (~node4(s35)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1382, 36, 1379])).
% 13.31/9.06 tff(1384,plain,
% 13.31/9.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s35) | node4(s35) | (~until5(s35)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1385,plain,
% 13.31/9.06 ((node4(s35) | (~until5(s35)) | xuntil6(s35)) <=> (xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1386,plain,
% 13.31/9.06 (((~![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))))),
% 13.31/9.06 inference(monotonicity,[status(thm)],[1385])).
% 13.31/9.06 tff(1387,plain,
% 13.31/9.06 (((~![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)))),
% 13.31/9.06 inference(transitivity,[status(thm)],[1386, 1384])).
% 13.31/9.06 tff(1388,plain,
% 13.31/9.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1389,plain,
% 13.31/9.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35))),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1388, 1387])).
% 13.31/9.06 tff(1390,plain,
% 13.31/9.06 (xuntil6(s35) | (~until5(s35))),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1389, 294, 1383])).
% 13.31/9.06 tff(1391,plain,
% 13.31/9.06 (~until5(s35)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1390, 1370])).
% 13.31/9.06 tff(1392,plain,
% 13.31/9.06 (succ(s34, s35) <=> succ(s34, s35)),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1393,axiom,(succ(s34, s35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound35')).
% 13.31/9.06 tff(1394,plain,
% 13.31/9.06 (succ(s34, s35)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 13.31/9.06 tff(1395,plain,
% 13.31/9.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1396,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1397,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 13.31/9.06 tff(1398,plain,
% 13.31/9.06 ((~xuntil6(s34)) | until5(s35)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1397, 1394, 312])).
% 13.31/9.06 tff(1399,plain,
% 13.31/9.06 (~xuntil6(s34)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1398, 1391])).
% 13.31/9.06 tff(1400,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1401,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1402,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 13.31/9.06 tff(1403,plain,
% 13.31/9.06 (trans(s34, s35)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1402, 1394, 52])).
% 13.31/9.06 tff(1404,plain,
% 13.31/9.06 (((~![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))),
% 13.31/9.06 inference(rewrite,[status(thm)],[])).
% 13.31/9.06 tff(1405,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 13.31/9.06 inference(quant_inst,[status(thm)],[])).
% 13.31/9.06 tff(1406,plain,
% 13.31/9.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35)),
% 13.31/9.06 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 13.31/9.06 tff(1407,plain,
% 13.31/9.06 ((~always3(s34)) | always3(s35)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1406, 125, 1403])).
% 13.31/9.06 tff(1408,plain,
% 13.31/9.06 (~always3(s34)),
% 13.31/9.06 inference(unit_resolution,[status(thm)],[1407, 1379])).
% 13.31/9.06 tff(1409,plain,
% 13.31/9.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1410,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1411,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 13.31/9.07 tff(1412,plain,
% 13.31/9.07 (~node4(s34)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1411, 36, 1408])).
% 13.31/9.07 tff(1413,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1414,plain,
% 13.31/9.07 ((node4(s34) | (~until5(s34)) | xuntil6(s34)) <=> (xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1415,plain,
% 13.31/9.07 (((~![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))))),
% 13.31/9.07 inference(monotonicity,[status(thm)],[1414])).
% 13.31/9.07 tff(1416,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(transitivity,[status(thm)],[1415, 1413])).
% 13.31/9.07 tff(1417,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1418,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1417, 1416])).
% 13.31/9.07 tff(1419,plain,
% 13.31/9.07 (xuntil6(s34) | (~until5(s34))),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1418, 294, 1412])).
% 13.31/9.07 tff(1420,plain,
% 13.31/9.07 (~until5(s34)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1419, 1399])).
% 13.31/9.07 tff(1421,plain,
% 13.31/9.07 (succ(s33, s34) <=> succ(s33, s34)),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1422,axiom,(succ(s33, s34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound34')).
% 13.31/9.07 tff(1423,plain,
% 13.31/9.07 (succ(s33, s34)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1422, 1421])).
% 13.31/9.07 tff(1424,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1425,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1426,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1425, 1424])).
% 13.31/9.07 tff(1427,plain,
% 13.31/9.07 ((~xuntil6(s33)) | until5(s34)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1426, 1423, 312])).
% 13.31/9.07 tff(1428,plain,
% 13.31/9.07 (~xuntil6(s33)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1427, 1420])).
% 13.31/9.07 tff(1429,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1430,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1431,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 13.31/9.07 tff(1432,plain,
% 13.31/9.07 (trans(s33, s34)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1431, 1423, 52])).
% 13.31/9.07 tff(1433,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1434,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1435,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 13.31/9.07 tff(1436,plain,
% 13.31/9.07 ((~always3(s33)) | always3(s34)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1435, 125, 1432])).
% 13.31/9.07 tff(1437,plain,
% 13.31/9.07 (~always3(s33)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1436, 1408])).
% 13.31/9.07 tff(1438,plain,
% 13.31/9.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1439,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1440,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 13.31/9.07 tff(1441,plain,
% 13.31/9.07 (~node4(s33)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1440, 36, 1437])).
% 13.31/9.07 tff(1442,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1443,plain,
% 13.31/9.07 ((node4(s33) | (~until5(s33)) | xuntil6(s33)) <=> (xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1444,plain,
% 13.31/9.07 (((~![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))))),
% 13.31/9.07 inference(monotonicity,[status(thm)],[1443])).
% 13.31/9.07 tff(1445,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(transitivity,[status(thm)],[1444, 1442])).
% 13.31/9.07 tff(1446,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1447,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1446, 1445])).
% 13.31/9.07 tff(1448,plain,
% 13.31/9.07 (xuntil6(s33) | (~until5(s33))),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1447, 294, 1441])).
% 13.31/9.07 tff(1449,plain,
% 13.31/9.07 (~until5(s33)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1448, 1428])).
% 13.31/9.07 tff(1450,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1451,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1452,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 13.31/9.07 tff(1453,plain,
% 13.31/9.07 ((~xuntil6(s32)) | until5(s33)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1452, 192, 312])).
% 13.31/9.07 tff(1454,plain,
% 13.31/9.07 (~xuntil6(s32)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1453, 1449])).
% 13.31/9.07 tff(1455,plain,
% 13.31/9.07 (~always3(s32)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[200, 1437])).
% 13.31/9.07 tff(1456,plain,
% 13.31/9.07 (~node4(s32)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[188, 36, 1455])).
% 13.31/9.07 tff(1457,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1458,plain,
% 13.31/9.07 ((node4(s32) | (~until5(s32)) | xuntil6(s32)) <=> (xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1459,plain,
% 13.31/9.07 (((~![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))))),
% 13.31/9.07 inference(monotonicity,[status(thm)],[1458])).
% 13.31/9.07 tff(1460,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(transitivity,[status(thm)],[1459, 1457])).
% 13.31/9.07 tff(1461,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1462,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 13.31/9.07 tff(1463,plain,
% 13.31/9.07 (xuntil6(s32) | (~until5(s32))),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1462, 294, 1456])).
% 13.31/9.07 tff(1464,plain,
% 13.31/9.07 (~until5(s32)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1463, 1454])).
% 13.31/9.07 tff(1465,plain,
% 13.31/9.07 (succ(s31, s32) <=> succ(s31, s32)),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1466,axiom,(succ(s31, s32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound32')).
% 13.31/9.07 tff(1467,plain,
% 13.31/9.07 (succ(s31, s32)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 13.31/9.07 tff(1468,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1469,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1470,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1469, 1468])).
% 13.31/9.07 tff(1471,plain,
% 13.31/9.07 ((~xuntil6(s31)) | until5(s32)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1470, 1467, 312])).
% 13.31/9.07 tff(1472,plain,
% 13.31/9.07 (~xuntil6(s31)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1471, 1464])).
% 13.31/9.07 tff(1473,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1474,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1475,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 13.31/9.07 tff(1476,plain,
% 13.31/9.07 (trans(s31, s32)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1475, 1467, 52])).
% 13.31/9.07 tff(1477,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1478,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1479,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1478, 1477])).
% 13.31/9.07 tff(1480,plain,
% 13.31/9.07 ((~always3(s31)) | always3(s32)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1479, 125, 1476])).
% 13.31/9.07 tff(1481,plain,
% 13.31/9.07 (~always3(s31)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1480, 1455])).
% 13.31/9.07 tff(1482,plain,
% 13.31/9.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1483,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1484,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 13.31/9.07 tff(1485,plain,
% 13.31/9.07 (~node4(s31)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1484, 36, 1481])).
% 13.31/9.07 tff(1486,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1487,plain,
% 13.31/9.07 ((node4(s31) | (~until5(s31)) | xuntil6(s31)) <=> (xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1488,plain,
% 13.31/9.07 (((~![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))))),
% 13.31/9.07 inference(monotonicity,[status(thm)],[1487])).
% 13.31/9.07 tff(1489,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(transitivity,[status(thm)],[1488, 1486])).
% 13.31/9.07 tff(1490,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1491,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 13.31/9.07 tff(1492,plain,
% 13.31/9.07 (xuntil6(s31) | (~until5(s31))),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1491, 294, 1485])).
% 13.31/9.07 tff(1493,plain,
% 13.31/9.07 (~until5(s31)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1492, 1472])).
% 13.31/9.07 tff(1494,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1495,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1496,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 13.31/9.07 tff(1497,plain,
% 13.31/9.07 ((~xuntil6(s30)) | until5(s31)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1496, 241, 312])).
% 13.31/9.07 tff(1498,plain,
% 13.31/9.07 (~xuntil6(s30)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1497, 1493])).
% 13.31/9.07 tff(1499,plain,
% 13.31/9.07 (~always3(s30)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[249, 1481])).
% 13.31/9.07 tff(1500,plain,
% 13.31/9.07 (~node4(s30)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[237, 36, 1499])).
% 13.31/9.07 tff(1501,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1502,plain,
% 13.31/9.07 ((node4(s30) | (~until5(s30)) | xuntil6(s30)) <=> (xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1503,plain,
% 13.31/9.07 (((~![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))))),
% 13.31/9.07 inference(monotonicity,[status(thm)],[1502])).
% 13.31/9.07 tff(1504,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(transitivity,[status(thm)],[1503, 1501])).
% 13.31/9.07 tff(1505,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1506,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 13.31/9.07 tff(1507,plain,
% 13.31/9.07 (xuntil6(s30) | (~until5(s30))),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1506, 294, 1500])).
% 13.31/9.07 tff(1508,plain,
% 13.31/9.07 (~until5(s30)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1507, 1498])).
% 13.31/9.07 tff(1509,plain,
% 13.31/9.07 (succ(s29, s30) <=> succ(s29, s30)),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1510,axiom,(succ(s29, s30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound30')).
% 13.31/9.07 tff(1511,plain,
% 13.31/9.07 (succ(s29, s30)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 13.31/9.07 tff(1512,plain,
% 13.31/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1513,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1514,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 13.31/9.07 tff(1515,plain,
% 13.31/9.07 ((~xuntil6(s29)) | until5(s30)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1514, 1511, 312])).
% 13.31/9.07 tff(1516,plain,
% 13.31/9.07 (~xuntil6(s29)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1515, 1508])).
% 13.31/9.07 tff(1517,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1518,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1519,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 13.31/9.07 tff(1520,plain,
% 13.31/9.07 (trans(s29, s30)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1519, 1511, 52])).
% 13.31/9.07 tff(1521,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1522,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1523,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 13.31/9.07 tff(1524,plain,
% 13.31/9.07 ((~always3(s29)) | always3(s30)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1523, 125, 1520])).
% 13.31/9.07 tff(1525,plain,
% 13.31/9.07 (~always3(s29)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1524, 1499])).
% 13.31/9.07 tff(1526,plain,
% 13.31/9.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1527,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1528,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 13.31/9.07 tff(1529,plain,
% 13.31/9.07 (~node4(s29)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1528, 36, 1525])).
% 13.31/9.07 tff(1530,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1531,plain,
% 13.31/9.07 ((node4(s29) | (~until5(s29)) | xuntil6(s29)) <=> (xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1532,plain,
% 13.31/9.07 (((~![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))))),
% 13.31/9.07 inference(monotonicity,[status(thm)],[1531])).
% 13.31/9.07 tff(1533,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(transitivity,[status(thm)],[1532, 1530])).
% 13.31/9.07 tff(1534,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1535,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 13.31/9.07 tff(1536,plain,
% 13.31/9.07 (xuntil6(s29) | (~until5(s29))),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1535, 294, 1529])).
% 13.31/9.07 tff(1537,plain,
% 13.31/9.07 (~until5(s29)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1536, 1516])).
% 13.31/9.07 tff(1538,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1539,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1540,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 13.31/9.07 tff(1541,plain,
% 13.31/9.07 ((~xuntil6(s28)) | until5(s29)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1540, 143, 312])).
% 13.31/9.07 tff(1542,plain,
% 13.31/9.07 (~xuntil6(s28)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1541, 1537])).
% 13.31/9.07 tff(1543,plain,
% 13.31/9.07 (~always3(s28)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[151, 1525])).
% 13.31/9.07 tff(1544,plain,
% 13.31/9.07 (~node4(s28)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[139, 36, 1543])).
% 13.31/9.07 tff(1545,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1546,plain,
% 13.31/9.07 ((node4(s28) | (~until5(s28)) | xuntil6(s28)) <=> (xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1547,plain,
% 13.31/9.07 (((~![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))))),
% 13.31/9.07 inference(monotonicity,[status(thm)],[1546])).
% 13.31/9.07 tff(1548,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(transitivity,[status(thm)],[1547, 1545])).
% 13.31/9.07 tff(1549,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1550,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 13.31/9.07 tff(1551,plain,
% 13.31/9.07 (xuntil6(s28) | (~until5(s28))),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1550, 294, 1544])).
% 13.31/9.07 tff(1552,plain,
% 13.31/9.07 (~until5(s28)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1551, 1542])).
% 13.31/9.07 tff(1553,plain,
% 13.31/9.07 (succ(s27, s28) <=> succ(s27, s28)),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1554,axiom,(succ(s27, s28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound28')).
% 13.31/9.07 tff(1555,plain,
% 13.31/9.07 (succ(s27, s28)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 13.31/9.07 tff(1556,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1557,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1558,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1557, 1556])).
% 13.31/9.07 tff(1559,plain,
% 13.31/9.07 ((~xuntil6(s27)) | until5(s28)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1558, 1555, 312])).
% 13.31/9.07 tff(1560,plain,
% 13.31/9.07 (~xuntil6(s27)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1559, 1552])).
% 13.31/9.07 tff(1561,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1562,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1563,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 13.31/9.07 tff(1564,plain,
% 13.31/9.07 (trans(s27, s28)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1563, 1555, 52])).
% 13.31/9.07 tff(1565,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1566,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1567,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1566, 1565])).
% 13.31/9.07 tff(1568,plain,
% 13.31/9.07 ((~always3(s27)) | always3(s28)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1567, 125, 1564])).
% 13.31/9.07 tff(1569,plain,
% 13.31/9.07 (~always3(s27)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1568, 1543])).
% 13.31/9.07 tff(1570,plain,
% 13.31/9.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1571,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1572,plain,
% 13.31/9.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 13.31/9.07 tff(1573,plain,
% 13.31/9.07 (~node4(s27)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1572, 36, 1569])).
% 13.31/9.07 tff(1574,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1575,plain,
% 13.31/9.07 ((node4(s27) | (~until5(s27)) | xuntil6(s27)) <=> (xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1576,plain,
% 13.31/9.07 (((~![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))))),
% 13.31/9.07 inference(monotonicity,[status(thm)],[1575])).
% 13.31/9.07 tff(1577,plain,
% 13.31/9.07 (((~![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)))),
% 13.31/9.07 inference(transitivity,[status(thm)],[1576, 1574])).
% 13.31/9.07 tff(1578,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1579,plain,
% 13.31/9.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27))),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 13.31/9.07 tff(1580,plain,
% 13.31/9.07 (xuntil6(s27) | (~until5(s27))),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1579, 294, 1573])).
% 13.31/9.07 tff(1581,plain,
% 13.31/9.07 (~until5(s27)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1580, 1560])).
% 13.31/9.07 tff(1582,plain,
% 13.31/9.07 (succ(s26, s27) <=> succ(s26, s27)),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1583,axiom,(succ(s26, s27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound27')).
% 13.31/9.07 tff(1584,plain,
% 13.31/9.07 (succ(s26, s27)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 13.31/9.07 tff(1585,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1586,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1587,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1586, 1585])).
% 13.31/9.07 tff(1588,plain,
% 13.31/9.07 (trans(s26, s27)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1587, 1584, 52])).
% 13.31/9.07 tff(1589,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1590,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1591,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 13.31/9.07 tff(1592,plain,
% 13.31/9.07 ((~always3(s26)) | always3(s27)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1591, 125, 1588])).
% 13.31/9.07 tff(1593,plain,
% 13.31/9.07 (~always3(s26)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1592, 1569])).
% 13.31/9.07 tff(1594,plain,
% 13.31/9.07 (succ(s25, s26) <=> succ(s25, s26)),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1595,axiom,(succ(s25, s26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound26')).
% 13.31/9.07 tff(1596,plain,
% 13.31/9.07 (succ(s25, s26)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 13.31/9.07 tff(1597,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1598,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1599,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 13.31/9.07 tff(1600,plain,
% 13.31/9.07 (trans(s25, s26)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1599, 1596, 52])).
% 13.31/9.07 tff(1601,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1602,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1603,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 13.31/9.07 tff(1604,plain,
% 13.31/9.07 ((~always3(s25)) | always3(s26)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1603, 125, 1600])).
% 13.31/9.07 tff(1605,plain,
% 13.31/9.07 (~always3(s25)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1604, 1593])).
% 13.31/9.07 tff(1606,plain,
% 13.31/9.07 (succ(s24, s25) <=> succ(s24, s25)),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1607,axiom,(succ(s24, s25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound25')).
% 13.31/9.07 tff(1608,plain,
% 13.31/9.07 (succ(s24, s25)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 13.31/9.07 tff(1609,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1610,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1611,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 13.31/9.07 tff(1612,plain,
% 13.31/9.07 (trans(s24, s25)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1611, 1608, 52])).
% 13.31/9.07 tff(1613,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1614,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1615,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 13.31/9.07 tff(1616,plain,
% 13.31/9.07 ((~always3(s24)) | always3(s25)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1615, 125, 1612])).
% 13.31/9.07 tff(1617,plain,
% 13.31/9.07 (~always3(s24)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1616, 1605])).
% 13.31/9.07 tff(1618,plain,
% 13.31/9.07 (succ(s23, s24) <=> succ(s23, s24)),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1619,axiom,(succ(s23, s24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound24')).
% 13.31/9.07 tff(1620,plain,
% 13.31/9.07 (succ(s23, s24)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 13.31/9.07 tff(1621,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.07 inference(rewrite,[status(thm)],[])).
% 13.31/9.07 tff(1622,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 13.31/9.07 inference(quant_inst,[status(thm)],[])).
% 13.31/9.07 tff(1623,plain,
% 13.31/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 13.31/9.07 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 13.31/9.07 tff(1624,plain,
% 13.31/9.07 (trans(s23, s24)),
% 13.31/9.07 inference(unit_resolution,[status(thm)],[1623, 1620, 52])).
% 13.31/9.07 tff(1625,plain,
% 13.31/9.07 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1626,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1627,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1626, 1625])).
% 13.31/9.08 tff(1628,plain,
% 13.31/9.08 ((~always3(s23)) | always3(s24)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1627, 125, 1624])).
% 13.31/9.08 tff(1629,plain,
% 13.31/9.08 (~always3(s23)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1628, 1617])).
% 13.31/9.08 tff(1630,plain,
% 13.31/9.08 (succ(s22, s23) <=> succ(s22, s23)),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1631,axiom,(succ(s22, s23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound23')).
% 13.31/9.08 tff(1632,plain,
% 13.31/9.08 (succ(s22, s23)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 13.31/9.08 tff(1633,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1634,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1635,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 13.31/9.08 tff(1636,plain,
% 13.31/9.08 (trans(s22, s23)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1635, 1632, 52])).
% 13.31/9.08 tff(1637,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1638,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1639,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 13.31/9.08 tff(1640,plain,
% 13.31/9.08 ((~always3(s22)) | always3(s23)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1639, 125, 1636])).
% 13.31/9.08 tff(1641,plain,
% 13.31/9.08 (~always3(s22)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1640, 1629])).
% 13.31/9.08 tff(1642,plain,
% 13.31/9.08 (succ(s21, s22) <=> succ(s21, s22)),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1643,axiom,(succ(s21, s22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound22')).
% 13.31/9.08 tff(1644,plain,
% 13.31/9.08 (succ(s21, s22)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 13.31/9.08 tff(1645,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1646,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1647,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 13.31/9.08 tff(1648,plain,
% 13.31/9.08 (trans(s21, s22)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1647, 1644, 52])).
% 13.31/9.08 tff(1649,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1650,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1651,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 13.31/9.08 tff(1652,plain,
% 13.31/9.08 ((~always3(s21)) | always3(s22)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1651, 125, 1648])).
% 13.31/9.08 tff(1653,plain,
% 13.31/9.08 (~always3(s21)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1652, 1641])).
% 13.31/9.08 tff(1654,plain,
% 13.31/9.08 (succ(s20, s21) <=> succ(s20, s21)),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1655,axiom,(succ(s20, s21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound21')).
% 13.31/9.08 tff(1656,plain,
% 13.31/9.08 (succ(s20, s21)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 13.31/9.08 tff(1657,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1658,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1659,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 13.31/9.08 tff(1660,plain,
% 13.31/9.08 (trans(s20, s21)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1659, 1656, 52])).
% 13.31/9.08 tff(1661,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1662,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1663,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1662, 1661])).
% 13.31/9.08 tff(1664,plain,
% 13.31/9.08 ((~always3(s20)) | always3(s21)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1663, 125, 1660])).
% 13.31/9.08 tff(1665,plain,
% 13.31/9.08 (~always3(s20)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1664, 1653])).
% 13.31/9.08 tff(1666,plain,
% 13.31/9.08 (succ(s19, s20) <=> succ(s19, s20)),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1667,axiom,(succ(s19, s20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound20')).
% 13.31/9.08 tff(1668,plain,
% 13.31/9.08 (succ(s19, s20)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1667, 1666])).
% 13.31/9.08 tff(1669,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1670,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1671,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 13.31/9.08 tff(1672,plain,
% 13.31/9.08 (trans(s19, s20)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1671, 1668, 52])).
% 13.31/9.08 tff(1673,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1674,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1675,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 13.31/9.08 tff(1676,plain,
% 13.31/9.08 ((~always3(s19)) | always3(s20)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1675, 125, 1672])).
% 13.31/9.08 tff(1677,plain,
% 13.31/9.08 (~always3(s19)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1676, 1665])).
% 13.31/9.08 tff(1678,plain,
% 13.31/9.08 (succ(s18, s19) <=> succ(s18, s19)),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1679,axiom,(succ(s18, s19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound19')).
% 13.31/9.08 tff(1680,plain,
% 13.31/9.08 (succ(s18, s19)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 13.31/9.08 tff(1681,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1682,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1683,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1682, 1681])).
% 13.31/9.08 tff(1684,plain,
% 13.31/9.08 (trans(s18, s19)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1683, 1680, 52])).
% 13.31/9.08 tff(1685,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1686,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1687,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 13.31/9.08 tff(1688,plain,
% 13.31/9.08 ((~always3(s18)) | always3(s19)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1687, 125, 1684])).
% 13.31/9.08 tff(1689,plain,
% 13.31/9.08 (~always3(s18)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1688, 1677])).
% 13.31/9.08 tff(1690,plain,
% 13.31/9.08 (succ(s17, s18) <=> succ(s17, s18)),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1691,axiom,(succ(s17, s18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound18')).
% 13.31/9.08 tff(1692,plain,
% 13.31/9.08 (succ(s17, s18)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 13.31/9.08 tff(1693,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1694,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1695,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 13.31/9.08 tff(1696,plain,
% 13.31/9.08 (trans(s17, s18)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1695, 1692, 52])).
% 13.31/9.08 tff(1697,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1698,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1699,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1698, 1697])).
% 13.31/9.08 tff(1700,plain,
% 13.31/9.08 ((~always3(s17)) | always3(s18)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1699, 125, 1696])).
% 13.31/9.08 tff(1701,plain,
% 13.31/9.08 (~always3(s17)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1700, 1689])).
% 13.31/9.08 tff(1702,plain,
% 13.31/9.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1703,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1704,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 13.31/9.08 tff(1705,plain,
% 13.31/9.08 (~node4(s17)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1704, 36, 1701])).
% 13.31/9.08 tff(1706,plain,
% 13.31/9.08 (succ(s16, s17) <=> succ(s16, s17)),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1707,axiom,(succ(s16, s17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound17')).
% 13.31/9.08 tff(1708,plain,
% 13.31/9.08 (succ(s16, s17)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 13.31/9.08 tff(1709,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1710,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1711,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1710, 1709])).
% 13.31/9.08 tff(1712,plain,
% 13.31/9.08 (trans(s16, s17)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1711, 1708, 52])).
% 13.31/9.08 tff(1713,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1714,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1715,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1714, 1713])).
% 13.31/9.08 tff(1716,plain,
% 13.31/9.08 ((~always3(s16)) | always3(s17)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1715, 125, 1712])).
% 13.31/9.08 tff(1717,plain,
% 13.31/9.08 (~always3(s16)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1716, 1701])).
% 13.31/9.08 tff(1718,plain,
% 13.31/9.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1719,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1720,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 13.31/9.08 tff(1721,plain,
% 13.31/9.08 (~node4(s16)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1720, 36, 1717])).
% 13.31/9.08 tff(1722,plain,
% 13.31/9.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s16) | node4(s16) | (~until5(s16)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1723,plain,
% 13.31/9.08 ((node4(s16) | (~until5(s16)) | xuntil6(s16)) <=> (xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1724,plain,
% 13.31/9.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s16) | node4(s16) | (~until5(s16))))),
% 13.31/9.08 inference(monotonicity,[status(thm)],[1723])).
% 13.31/9.08 tff(1725,plain,
% 13.31/9.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 13.31/9.08 inference(transitivity,[status(thm)],[1724, 1722])).
% 13.31/9.08 tff(1726,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1727,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 13.31/9.08 tff(1728,plain,
% 13.31/9.08 (xuntil6(s16) | node4(s16)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1727, 294, 1321])).
% 13.31/9.08 tff(1729,plain,
% 13.31/9.08 (xuntil6(s16)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1728, 1721])).
% 13.31/9.08 tff(1730,plain,
% 13.31/9.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1731,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1732,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 13.31/9.08 tff(1733,plain,
% 13.31/9.08 ((~xuntil6(s16)) | until5(s17)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1732, 1708, 312])).
% 13.31/9.08 tff(1734,plain,
% 13.31/9.08 (until5(s17)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1733, 1729])).
% 13.31/9.08 tff(1735,plain,
% 13.31/9.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s17) | node4(s17) | (~until5(s17)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1736,plain,
% 13.31/9.08 ((node4(s17) | (~until5(s17)) | xuntil6(s17)) <=> (xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1737,plain,
% 13.31/9.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s17) | node4(s17) | (~until5(s17))))),
% 13.31/9.08 inference(monotonicity,[status(thm)],[1736])).
% 13.31/9.08 tff(1738,plain,
% 13.31/9.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 13.31/9.08 inference(transitivity,[status(thm)],[1737, 1735])).
% 13.31/9.08 tff(1739,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1740,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 13.31/9.08 tff(1741,plain,
% 13.31/9.08 (xuntil6(s17)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1740, 294, 1734, 1705])).
% 13.31/9.08 tff(1742,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1743,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1744,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 13.31/9.08 tff(1745,plain,
% 13.31/9.08 ((~xuntil6(s17)) | until5(s18)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1744, 1692, 312])).
% 13.31/9.08 tff(1746,plain,
% 13.31/9.08 (until5(s18)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1745, 1741])).
% 13.31/9.08 tff(1747,plain,
% 13.31/9.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1748,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1749,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 13.31/9.08 tff(1750,plain,
% 13.31/9.08 (~node4(s18)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1749, 36, 1689])).
% 13.31/9.08 tff(1751,plain,
% 13.31/9.08 (((~![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)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1752,plain,
% 13.31/9.08 ((node4(s18) | (~until5(s18)) | xuntil6(s18)) <=> (xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1753,plain,
% 13.31/9.08 (((~![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))))),
% 13.31/9.08 inference(monotonicity,[status(thm)],[1752])).
% 13.31/9.08 tff(1754,plain,
% 13.31/9.08 (((~![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)))),
% 13.31/9.08 inference(transitivity,[status(thm)],[1753, 1751])).
% 13.31/9.08 tff(1755,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1756,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 13.31/9.08 tff(1757,plain,
% 13.31/9.08 (xuntil6(s18) | (~until5(s18))),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1756, 294, 1750])).
% 13.31/9.08 tff(1758,plain,
% 13.31/9.08 (xuntil6(s18)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1757, 1746])).
% 13.31/9.08 tff(1759,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1760,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1761,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1760, 1759])).
% 13.31/9.08 tff(1762,plain,
% 13.31/9.08 ((~xuntil6(s18)) | until5(s19)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1761, 1680, 312])).
% 13.31/9.08 tff(1763,plain,
% 13.31/9.08 (until5(s19)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1762, 1758])).
% 13.31/9.08 tff(1764,plain,
% 13.31/9.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1765,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1766,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 13.31/9.08 tff(1767,plain,
% 13.31/9.08 (~node4(s19)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1766, 36, 1677])).
% 13.31/9.08 tff(1768,plain,
% 13.31/9.08 (((~![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)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1769,plain,
% 13.31/9.08 ((node4(s19) | (~until5(s19)) | xuntil6(s19)) <=> (xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1770,plain,
% 13.31/9.08 (((~![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))))),
% 13.31/9.08 inference(monotonicity,[status(thm)],[1769])).
% 13.31/9.08 tff(1771,plain,
% 13.31/9.08 (((~![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)))),
% 13.31/9.08 inference(transitivity,[status(thm)],[1770, 1768])).
% 13.31/9.08 tff(1772,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1773,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 13.31/9.08 tff(1774,plain,
% 13.31/9.08 (xuntil6(s19) | (~until5(s19))),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1773, 294, 1767])).
% 13.31/9.08 tff(1775,plain,
% 13.31/9.08 (xuntil6(s19)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1774, 1763])).
% 13.31/9.08 tff(1776,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1777,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1778,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 13.31/9.08 tff(1779,plain,
% 13.31/9.08 ((~xuntil6(s19)) | until5(s20)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1778, 1668, 312])).
% 13.31/9.08 tff(1780,plain,
% 13.31/9.08 (until5(s20)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1779, 1775])).
% 13.31/9.08 tff(1781,plain,
% 13.31/9.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1782,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1783,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 13.31/9.08 tff(1784,plain,
% 13.31/9.08 (~node4(s20)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1783, 36, 1665])).
% 13.31/9.08 tff(1785,plain,
% 13.31/9.08 (((~![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)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1786,plain,
% 13.31/9.08 ((node4(s20) | (~until5(s20)) | xuntil6(s20)) <=> (xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1787,plain,
% 13.31/9.08 (((~![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))))),
% 13.31/9.08 inference(monotonicity,[status(thm)],[1786])).
% 13.31/9.08 tff(1788,plain,
% 13.31/9.08 (((~![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)))),
% 13.31/9.08 inference(transitivity,[status(thm)],[1787, 1785])).
% 13.31/9.08 tff(1789,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1790,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1789, 1788])).
% 13.31/9.08 tff(1791,plain,
% 13.31/9.08 (xuntil6(s20) | (~until5(s20))),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1790, 294, 1784])).
% 13.31/9.08 tff(1792,plain,
% 13.31/9.08 (xuntil6(s20)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1791, 1780])).
% 13.31/9.08 tff(1793,plain,
% 13.31/9.08 (((~![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))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1794,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1795,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 13.31/9.08 tff(1796,plain,
% 13.31/9.08 ((~xuntil6(s20)) | until5(s21)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1795, 1656, 312])).
% 13.31/9.08 tff(1797,plain,
% 13.31/9.08 (until5(s21)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1796, 1792])).
% 13.31/9.08 tff(1798,plain,
% 13.31/9.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1799,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1800,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1799, 1798])).
% 13.31/9.08 tff(1801,plain,
% 13.31/9.08 (~node4(s21)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1800, 36, 1653])).
% 13.31/9.08 tff(1802,plain,
% 13.31/9.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s21) | node4(s21) | (~until5(s21)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1803,plain,
% 13.31/9.08 ((node4(s21) | (~until5(s21)) | xuntil6(s21)) <=> (xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1804,plain,
% 13.31/9.08 (((~![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))))),
% 13.31/9.08 inference(monotonicity,[status(thm)],[1803])).
% 13.31/9.08 tff(1805,plain,
% 13.31/9.08 (((~![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)))),
% 13.31/9.08 inference(transitivity,[status(thm)],[1804, 1802])).
% 13.31/9.08 tff(1806,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1807,plain,
% 13.31/9.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21))),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 13.31/9.08 tff(1808,plain,
% 13.31/9.08 (xuntil6(s21) | (~until5(s21))),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1807, 294, 1801])).
% 13.31/9.08 tff(1809,plain,
% 13.31/9.08 (xuntil6(s21)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1808, 1797])).
% 13.31/9.08 tff(1810,plain,
% 13.31/9.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1811,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))),
% 13.31/9.08 inference(quant_inst,[status(thm)],[])).
% 13.31/9.08 tff(1812,plain,
% 13.31/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22)),
% 13.31/9.08 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 13.31/9.08 tff(1813,plain,
% 13.31/9.08 ((~xuntil6(s21)) | until5(s22)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1812, 1644, 312])).
% 13.31/9.08 tff(1814,plain,
% 13.31/9.08 (until5(s22)),
% 13.31/9.08 inference(unit_resolution,[status(thm)],[1813, 1809])).
% 13.31/9.08 tff(1815,plain,
% 13.31/9.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22)))),
% 13.31/9.08 inference(rewrite,[status(thm)],[])).
% 13.31/9.08 tff(1816,plain,
% 13.31/9.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1817,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1816, 1815])).
% 13.31/9.09 tff(1818,plain,
% 13.31/9.09 (~node4(s22)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1817, 36, 1641])).
% 13.31/9.09 tff(1819,plain,
% 13.31/9.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s22) | node4(s22) | (~until5(s22)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1820,plain,
% 13.31/9.09 ((node4(s22) | (~until5(s22)) | xuntil6(s22)) <=> (xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1821,plain,
% 13.31/9.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s22) | node4(s22) | (~until5(s22))))),
% 13.31/9.09 inference(monotonicity,[status(thm)],[1820])).
% 13.31/9.09 tff(1822,plain,
% 13.31/9.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 13.31/9.09 inference(transitivity,[status(thm)],[1821, 1819])).
% 13.31/9.09 tff(1823,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1824,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 13.31/9.09 tff(1825,plain,
% 13.31/9.09 (xuntil6(s22) | (~until5(s22))),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1824, 294, 1818])).
% 13.31/9.09 tff(1826,plain,
% 13.31/9.09 (xuntil6(s22)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1825, 1814])).
% 13.31/9.09 tff(1827,plain,
% 13.31/9.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1828,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1829,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 13.31/9.09 tff(1830,plain,
% 13.31/9.09 ((~xuntil6(s22)) | until5(s23)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1829, 1632, 312])).
% 13.31/9.09 tff(1831,plain,
% 13.31/9.09 (until5(s23)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1830, 1826])).
% 13.31/9.09 tff(1832,plain,
% 13.31/9.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1833,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1834,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 13.31/9.09 tff(1835,plain,
% 13.31/9.09 (~node4(s23)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1834, 36, 1629])).
% 13.31/9.09 tff(1836,plain,
% 13.31/9.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s23) | node4(s23) | (~until5(s23)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1837,plain,
% 13.31/9.09 ((node4(s23) | (~until5(s23)) | xuntil6(s23)) <=> (xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1838,plain,
% 13.31/9.09 (((~![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))))),
% 13.31/9.09 inference(monotonicity,[status(thm)],[1837])).
% 13.31/9.09 tff(1839,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(transitivity,[status(thm)],[1838, 1836])).
% 13.31/9.09 tff(1840,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1841,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 13.31/9.09 tff(1842,plain,
% 13.31/9.09 (xuntil6(s23) | (~until5(s23))),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1841, 294, 1835])).
% 13.31/9.09 tff(1843,plain,
% 13.31/9.09 (xuntil6(s23)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1842, 1831])).
% 13.31/9.09 tff(1844,plain,
% 13.31/9.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1845,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1846,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 13.31/9.09 tff(1847,plain,
% 13.31/9.09 ((~xuntil6(s23)) | until5(s24)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1846, 1620, 312])).
% 13.31/9.09 tff(1848,plain,
% 13.31/9.09 (until5(s24)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1847, 1843])).
% 13.31/9.09 tff(1849,plain,
% 13.31/9.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1850,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1851,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 13.31/9.09 tff(1852,plain,
% 13.31/9.09 (~node4(s24)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1851, 36, 1617])).
% 13.31/9.09 tff(1853,plain,
% 13.31/9.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s24) | node4(s24) | (~until5(s24)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1854,plain,
% 13.31/9.09 ((node4(s24) | (~until5(s24)) | xuntil6(s24)) <=> (xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1855,plain,
% 13.31/9.09 (((~![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))))),
% 13.31/9.09 inference(monotonicity,[status(thm)],[1854])).
% 13.31/9.09 tff(1856,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(transitivity,[status(thm)],[1855, 1853])).
% 13.31/9.09 tff(1857,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1858,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 13.31/9.09 tff(1859,plain,
% 13.31/9.09 (xuntil6(s24) | (~until5(s24))),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1858, 294, 1852])).
% 13.31/9.09 tff(1860,plain,
% 13.31/9.09 (xuntil6(s24)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1859, 1848])).
% 13.31/9.09 tff(1861,plain,
% 13.31/9.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1862,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1863,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 13.31/9.09 tff(1864,plain,
% 13.31/9.09 ((~xuntil6(s24)) | until5(s25)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1863, 1608, 312])).
% 13.31/9.09 tff(1865,plain,
% 13.31/9.09 (until5(s25)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1864, 1860])).
% 13.31/9.09 tff(1866,plain,
% 13.31/9.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1867,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1868,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1867, 1866])).
% 13.31/9.09 tff(1869,plain,
% 13.31/9.09 (~node4(s25)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1868, 36, 1605])).
% 13.31/9.09 tff(1870,plain,
% 13.31/9.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s25) | node4(s25) | (~until5(s25)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1871,plain,
% 13.31/9.09 ((node4(s25) | (~until5(s25)) | xuntil6(s25)) <=> (xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1872,plain,
% 13.31/9.09 (((~![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))))),
% 13.31/9.09 inference(monotonicity,[status(thm)],[1871])).
% 13.31/9.09 tff(1873,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(transitivity,[status(thm)],[1872, 1870])).
% 13.31/9.09 tff(1874,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1875,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 13.31/9.09 tff(1876,plain,
% 13.31/9.09 (xuntil6(s25) | (~until5(s25))),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1875, 294, 1869])).
% 13.31/9.09 tff(1877,plain,
% 13.31/9.09 (xuntil6(s25)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1876, 1865])).
% 13.31/9.09 tff(1878,plain,
% 13.31/9.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1879,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1880,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 13.31/9.09 tff(1881,plain,
% 13.31/9.09 ((~xuntil6(s25)) | until5(s26)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1880, 1596, 312])).
% 13.31/9.09 tff(1882,plain,
% 13.31/9.09 (until5(s26)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1881, 1877])).
% 13.31/9.09 tff(1883,plain,
% 13.31/9.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1884,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1885,plain,
% 13.31/9.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 13.31/9.09 tff(1886,plain,
% 13.31/9.09 (~node4(s26)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1885, 36, 1593])).
% 13.31/9.09 tff(1887,plain,
% 13.31/9.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s26) | node4(s26) | (~until5(s26)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1888,plain,
% 13.31/9.09 ((node4(s26) | (~until5(s26)) | xuntil6(s26)) <=> (xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1889,plain,
% 13.31/9.09 (((~![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))))),
% 13.31/9.09 inference(monotonicity,[status(thm)],[1888])).
% 13.31/9.09 tff(1890,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(transitivity,[status(thm)],[1889, 1887])).
% 13.31/9.09 tff(1891,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1892,plain,
% 13.31/9.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1891, 1890])).
% 13.31/9.09 tff(1893,plain,
% 13.31/9.09 (xuntil6(s26) | (~until5(s26))),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1892, 294, 1886])).
% 13.31/9.09 tff(1894,plain,
% 13.31/9.09 (xuntil6(s26)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1893, 1882])).
% 13.31/9.09 tff(1895,plain,
% 13.31/9.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1896,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1897,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 13.31/9.09 tff(1898,plain,
% 13.31/9.09 ((~xuntil6(s26)) | until5(s27)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1897, 1584, 312])).
% 13.31/9.09 tff(1899,plain,
% 13.31/9.09 ($false),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1898, 1894, 1581])).
% 13.31/9.09 tff(1900,plain,(always3(s37) | (~until5(s16)) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.09 tff(1901,plain,
% 13.31/9.09 (always3(s37)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1900, 1320, 1321])).
% 13.31/9.09 tff(1902,plain,
% 13.31/9.09 (succ(s37, s38) <=> succ(s37, s38)),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1903,axiom,(succ(s37, s38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound38')).
% 13.31/9.09 tff(1904,plain,
% 13.31/9.09 (succ(s37, s38)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 13.31/9.09 tff(1905,plain,
% 13.31/9.09 (((~![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))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1906,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1907,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 13.31/9.09 tff(1908,plain,
% 13.31/9.09 (trans(s37, s38)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1907, 1904, 52])).
% 13.31/9.09 tff(1909,plain,
% 13.31/9.09 (((~![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))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1910,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1911,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1910, 1909])).
% 13.31/9.09 tff(1912,plain,
% 13.31/9.09 ((~always3(s37)) | always3(s38)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1911, 125, 1908])).
% 13.31/9.09 tff(1913,plain,
% 13.31/9.09 (always3(s38)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1912, 1901])).
% 13.31/9.09 tff(1914,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1915,plain,
% 13.31/9.09 (((~m_main_v_state(s38, c_busy)) | (~always3(s38))) <=> ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1916,plain,
% 13.31/9.09 (((~![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))))),
% 13.31/9.09 inference(monotonicity,[status(thm)],[1915])).
% 13.31/9.09 tff(1917,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(transitivity,[status(thm)],[1916, 1914])).
% 13.31/9.09 tff(1918,plain,
% 13.31/9.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1919,plain,
% 13.31/9.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1918, 1917])).
% 13.31/9.09 tff(1920,plain,
% 13.31/9.09 (~m_main_v_state(s38, c_busy)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1919, 85, 1913])).
% 13.31/9.09 tff(1921,assumption,(until5(s37)), introduced(assumption)).
% 13.31/9.09 tff(1922,plain,
% 13.31/9.09 (xuntil6(s37) | node4(s37)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1348, 294, 1921])).
% 13.31/9.09 tff(1923,plain,
% 13.31/9.09 (node4(s37)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1922, 1320])).
% 13.31/9.09 tff(1924,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1925,plain,
% 13.31/9.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1926,plain,
% 13.31/9.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 13.31/9.09 tff(1927,plain,
% 13.31/9.09 (m_main_v_request(s37)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1926, 21, 1923])).
% 13.31/9.09 tff(1928,plain,
% 13.31/9.09 (((~![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))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1929,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1930,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 13.31/9.09 tff(1931,plain,
% 13.31/9.09 (node2(s37, s38)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1930, 7, 1908])).
% 13.31/9.09 tff(1932,plain,
% 13.31/9.09 (((~![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(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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1933,plain,
% 13.31/9.09 ((~![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(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1934,plain,
% 13.31/9.09 ((~![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(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1933, 1932])).
% 13.31/9.09 tff(1935,plain,
% 13.31/9.09 ((~m_main_v_state(s37, c_ready)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1934, 73, 1931])).
% 13.31/9.09 tff(1936,plain,
% 13.31/9.09 (~m_main_v_state(s37, c_ready)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1935, 1927, 1920])).
% 13.31/9.09 tff(1937,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1938,plain,
% 13.31/9.09 (((~m_main_v_state(s37, c_busy)) | (~always3(s37))) <=> ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1939,plain,
% 13.31/9.09 (((~![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))))),
% 13.31/9.09 inference(monotonicity,[status(thm)],[1938])).
% 13.31/9.09 tff(1940,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(transitivity,[status(thm)],[1939, 1937])).
% 13.31/9.09 tff(1941,plain,
% 13.31/9.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1942,plain,
% 13.31/9.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 13.31/9.09 tff(1943,plain,
% 13.31/9.09 (~m_main_v_state(s37, c_busy)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1942, 85, 1901])).
% 13.31/9.09 tff(1944,plain,
% 13.31/9.09 (((~![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))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1945,plain,
% 13.31/9.09 ((~![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))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1946,plain,
% 13.31/9.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 13.31/9.09 tff(1947,plain,
% 13.31/9.09 ($false),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1946, 102, 1943, 1936])).
% 13.31/9.09 tff(1948,plain,(xuntil6(s37) | (~until5(s37)) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 13.31/9.09 tff(1949,plain,
% 13.31/9.09 (~until5(s37)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1948, 1320, 1321])).
% 13.31/9.09 tff(1950,plain,
% 13.31/9.09 (~xuntil6(s36)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1354, 1949])).
% 13.31/9.09 tff(1951,assumption,(until5(s36)), introduced(assumption)).
% 13.31/9.09 tff(1952,plain,
% 13.31/9.09 (xuntil6(s36) | node4(s36)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1361, 294, 1951])).
% 13.31/9.09 tff(1953,plain,
% 13.31/9.09 (node4(s36)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1952, 1950])).
% 13.31/9.09 tff(1954,assumption,(~m_main_v_state(s37, c_busy)), introduced(assumption)).
% 13.31/9.09 tff(1955,assumption,(node4(s36)), introduced(assumption)).
% 13.31/9.09 tff(1956,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1957,plain,
% 13.31/9.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1958,plain,
% 13.31/9.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 13.31/9.09 tff(1959,plain,
% 13.31/9.09 (m_main_v_request(s36)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1958, 21, 1955])).
% 13.31/9.09 tff(1960,plain,
% 13.31/9.09 (((~![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))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1961,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1962,plain,
% 13.31/9.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 13.31/9.09 tff(1963,plain,
% 13.31/9.09 (node2(s36, s37)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1962, 7, 1329])).
% 13.31/9.09 tff(1964,plain,
% 13.31/9.09 (((~![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(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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1965,plain,
% 13.31/9.09 ((~![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(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1966,plain,
% 13.31/9.09 ((~![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(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1965, 1964])).
% 13.31/9.09 tff(1967,plain,
% 13.31/9.09 ((~m_main_v_state(s36, c_ready)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1966, 73, 1963])).
% 13.31/9.09 tff(1968,plain,
% 13.31/9.09 (~m_main_v_state(s36, c_ready)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1967, 1959, 1954])).
% 13.31/9.09 tff(1969,plain,
% 13.31/9.09 (always3(s36)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1337, 36, 1955])).
% 13.31/9.09 tff(1970,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1971,plain,
% 13.31/9.09 (((~m_main_v_state(s36, c_busy)) | (~always3(s36))) <=> ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1972,plain,
% 13.31/9.09 (((~![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))))),
% 13.31/9.09 inference(monotonicity,[status(thm)],[1971])).
% 13.31/9.09 tff(1973,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(transitivity,[status(thm)],[1972, 1970])).
% 13.31/9.09 tff(1974,plain,
% 13.31/9.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1975,plain,
% 13.31/9.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1974, 1973])).
% 13.31/9.09 tff(1976,plain,
% 13.31/9.09 (~m_main_v_state(s36, c_busy)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1975, 85, 1969])).
% 13.31/9.09 tff(1977,plain,
% 13.31/9.09 (((~![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))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1978,plain,
% 13.31/9.09 ((~![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))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1979,plain,
% 13.31/9.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready)),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1978, 1977])).
% 13.31/9.09 tff(1980,plain,
% 13.31/9.09 ($false),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1979, 102, 1976, 1968])).
% 13.31/9.09 tff(1981,plain,((~node4(s36)) | m_main_v_state(s37, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.09 tff(1982,plain,
% 13.31/9.09 (m_main_v_state(s37, c_busy)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1981, 1953])).
% 13.31/9.09 tff(1983,plain,
% 13.31/9.09 ($false),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1942, 85, 1901, 1982])).
% 13.31/9.09 tff(1984,plain,(xuntil6(s37) | (~until5(s36)) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 13.31/9.09 tff(1985,plain,
% 13.31/9.09 (~until5(s36)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1984, 1320, 1319])).
% 13.31/9.09 tff(1986,plain,
% 13.31/9.09 (~xuntil6(s35)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1369, 1985])).
% 13.31/9.09 tff(1987,assumption,(~node4(s32)), introduced(assumption)).
% 13.31/9.09 tff(1988,assumption,(~node4(s30)), introduced(assumption)).
% 13.31/9.09 tff(1989,assumption,(~node4(s28)), introduced(assumption)).
% 13.31/9.09 tff(1990,assumption,(node4(s16)), introduced(assumption)).
% 13.31/9.09 tff(1991,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1992,plain,
% 13.31/9.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))),
% 13.31/9.09 inference(quant_inst,[status(thm)],[])).
% 13.31/9.09 tff(1993,plain,
% 13.31/9.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16))),
% 13.31/9.09 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 13.31/9.09 tff(1994,plain,
% 13.31/9.09 (m_main_v_request(s16)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1993, 21, 1990])).
% 13.31/9.09 tff(1995,plain,
% 13.31/9.09 (always3(s16)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1720, 36, 1990])).
% 13.31/9.09 tff(1996,plain,
% 13.31/9.09 (always3(s17)),
% 13.31/9.09 inference(unit_resolution,[status(thm)],[1716, 1995])).
% 13.31/9.09 tff(1997,plain,
% 13.31/9.09 (((~![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)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1998,plain,
% 13.31/9.09 (((~m_main_v_state(s17, c_busy)) | (~always3(s17))) <=> ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 13.31/9.09 inference(rewrite,[status(thm)],[])).
% 13.31/9.09 tff(1999,plain,
% 13.31/9.09 (((~![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))))),
% 13.31/9.10 inference(monotonicity,[status(thm)],[1998])).
% 13.31/9.10 tff(2000,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(transitivity,[status(thm)],[1999, 1997])).
% 13.31/9.10 tff(2001,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2002,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 13.31/9.10 tff(2003,plain,
% 13.31/9.10 (~m_main_v_state(s17, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2002, 85, 1996])).
% 13.31/9.10 tff(2004,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2005,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2006,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2005, 2004])).
% 13.31/9.10 tff(2007,plain,
% 13.31/9.10 (node2(s16, s17)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2006, 7, 1712])).
% 13.31/9.10 tff(2008,plain,
% 13.31/9.10 (((~![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_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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2009,plain,
% 13.31/9.10 ((~![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_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2010,plain,
% 13.31/9.10 ((~![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_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 13.31/9.10 tff(2011,plain,
% 13.31/9.10 ((~m_main_v_state(s16, c_ready)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2010, 73, 2007])).
% 13.31/9.10 tff(2012,plain,
% 13.31/9.10 (~m_main_v_state(s16, c_ready)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2011, 2003, 1994])).
% 13.31/9.10 tff(2013,plain,
% 13.31/9.10 (~m_main_v_state(s16, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1266, 85, 1995])).
% 13.31/9.10 tff(2014,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2015,plain,
% 13.31/9.10 ((~![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))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2016,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 13.31/9.10 tff(2017,plain,
% 13.31/9.10 ($false),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2016, 102, 2013, 2012])).
% 13.31/9.10 tff(2018,plain,(~node4(s16)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.10 tff(2019,plain,
% 13.31/9.10 (xuntil6(s16) | (~until5(s16))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1727, 294, 2018])).
% 13.31/9.10 tff(2020,plain,
% 13.31/9.10 (xuntil6(s16)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2019, 1319])).
% 13.31/9.10 tff(2021,plain,
% 13.31/9.10 (until5(s17)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1733, 2020])).
% 13.31/9.10 tff(2022,assumption,(node4(s17)), introduced(assumption)).
% 13.31/9.10 tff(2023,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2024,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2025,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 13.31/9.10 tff(2026,plain,
% 13.31/9.10 (m_main_v_request(s17)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2025, 21, 2022])).
% 13.31/9.10 tff(2027,plain,
% 13.31/9.10 (always3(s17)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1704, 36, 2022])).
% 13.31/9.10 tff(2028,plain,
% 13.31/9.10 (always3(s18)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1700, 2027])).
% 13.31/9.10 tff(2029,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2030,plain,
% 13.31/9.10 (((~m_main_v_state(s18, c_busy)) | (~always3(s18))) <=> ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2031,plain,
% 13.31/9.10 (((~![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))))),
% 13.31/9.10 inference(monotonicity,[status(thm)],[2030])).
% 13.31/9.10 tff(2032,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(transitivity,[status(thm)],[2031, 2029])).
% 13.31/9.10 tff(2033,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2034,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 13.31/9.10 tff(2035,plain,
% 13.31/9.10 (~m_main_v_state(s18, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2034, 85, 2028])).
% 13.31/9.10 tff(2036,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2037,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2038,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2037, 2036])).
% 13.31/9.10 tff(2039,plain,
% 13.31/9.10 (node2(s17, s18)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2038, 7, 1696])).
% 13.31/9.10 tff(2040,plain,
% 13.31/9.10 (((~![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(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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2041,plain,
% 13.31/9.10 ((~![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(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2042,plain,
% 13.31/9.10 ((~![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(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 13.31/9.10 tff(2043,plain,
% 13.31/9.10 ((~m_main_v_state(s17, c_ready)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2042, 73, 2039])).
% 13.31/9.10 tff(2044,plain,
% 13.31/9.10 (~m_main_v_state(s17, c_ready)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2043, 2035, 2026])).
% 13.31/9.10 tff(2045,plain,
% 13.31/9.10 (~m_main_v_state(s17, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2002, 85, 2027])).
% 13.31/9.10 tff(2046,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2047,plain,
% 13.31/9.10 ((~![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))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2048,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 13.31/9.10 tff(2049,plain,
% 13.31/9.10 ($false),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2048, 102, 2045, 2044])).
% 13.31/9.10 tff(2050,plain,(~node4(s17)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.10 tff(2051,plain,
% 13.31/9.10 (xuntil6(s17) | (~until5(s17))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1740, 294, 2050])).
% 13.31/9.10 tff(2052,plain,
% 13.31/9.10 (xuntil6(s17)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2051, 2021])).
% 13.31/9.10 tff(2053,plain,
% 13.31/9.10 (until5(s18)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1745, 2052])).
% 13.31/9.10 tff(2054,assumption,(node4(s18)), introduced(assumption)).
% 13.31/9.10 tff(2055,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2056,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2057,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 13.31/9.10 tff(2058,plain,
% 13.31/9.10 (m_main_v_request(s18)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2057, 21, 2054])).
% 13.31/9.10 tff(2059,plain,
% 13.31/9.10 (always3(s18)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1749, 36, 2054])).
% 13.31/9.10 tff(2060,plain,
% 13.31/9.10 (always3(s19)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1688, 2059])).
% 13.31/9.10 tff(2061,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2062,plain,
% 13.31/9.10 (((~m_main_v_state(s19, c_busy)) | (~always3(s19))) <=> ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2063,plain,
% 13.31/9.10 (((~![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))))),
% 13.31/9.10 inference(monotonicity,[status(thm)],[2062])).
% 13.31/9.10 tff(2064,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(transitivity,[status(thm)],[2063, 2061])).
% 13.31/9.10 tff(2065,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2066,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 13.31/9.10 tff(2067,plain,
% 13.31/9.10 (~m_main_v_state(s19, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2066, 85, 2060])).
% 13.31/9.10 tff(2068,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2069,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2070,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 13.31/9.10 tff(2071,plain,
% 13.31/9.10 (node2(s18, s19)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2070, 7, 1684])).
% 13.31/9.10 tff(2072,plain,
% 13.31/9.10 (((~![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(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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2073,plain,
% 13.31/9.10 ((~![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(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2074,plain,
% 13.31/9.10 ((~![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(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 13.31/9.10 tff(2075,plain,
% 13.31/9.10 ((~m_main_v_state(s18, c_ready)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2074, 73, 2071])).
% 13.31/9.10 tff(2076,plain,
% 13.31/9.10 (~m_main_v_state(s18, c_ready)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2075, 2067, 2058])).
% 13.31/9.10 tff(2077,plain,
% 13.31/9.10 (~m_main_v_state(s18, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2034, 85, 2059])).
% 13.31/9.10 tff(2078,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2079,plain,
% 13.31/9.10 ((~![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))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2080,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 13.31/9.10 tff(2081,plain,
% 13.31/9.10 ($false),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2080, 102, 2077, 2076])).
% 13.31/9.10 tff(2082,plain,(~node4(s18)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.10 tff(2083,plain,
% 13.31/9.10 (xuntil6(s18) | (~until5(s18))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1756, 294, 2082])).
% 13.31/9.10 tff(2084,plain,
% 13.31/9.10 (xuntil6(s18)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2083, 2053])).
% 13.31/9.10 tff(2085,plain,
% 13.31/9.10 (until5(s19)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1762, 2084])).
% 13.31/9.10 tff(2086,assumption,(node4(s19)), introduced(assumption)).
% 13.31/9.10 tff(2087,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2088,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2089,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 13.31/9.10 tff(2090,plain,
% 13.31/9.10 (m_main_v_request(s19)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2089, 21, 2086])).
% 13.31/9.10 tff(2091,plain,
% 13.31/9.10 (always3(s19)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1766, 36, 2086])).
% 13.31/9.10 tff(2092,plain,
% 13.31/9.10 (always3(s20)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1676, 2091])).
% 13.31/9.10 tff(2093,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2094,plain,
% 13.31/9.10 (((~m_main_v_state(s20, c_busy)) | (~always3(s20))) <=> ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2095,plain,
% 13.31/9.10 (((~![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))))),
% 13.31/9.10 inference(monotonicity,[status(thm)],[2094])).
% 13.31/9.10 tff(2096,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(transitivity,[status(thm)],[2095, 2093])).
% 13.31/9.10 tff(2097,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2098,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2097, 2096])).
% 13.31/9.10 tff(2099,plain,
% 13.31/9.10 (~m_main_v_state(s20, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2098, 85, 2092])).
% 13.31/9.10 tff(2100,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2101,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2102,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 13.31/9.10 tff(2103,plain,
% 13.31/9.10 (node2(s19, s20)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2102, 7, 1672])).
% 13.31/9.10 tff(2104,plain,
% 13.31/9.10 (((~![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(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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2105,plain,
% 13.31/9.10 ((~![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(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2106,plain,
% 13.31/9.10 ((~![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(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2105, 2104])).
% 13.31/9.10 tff(2107,plain,
% 13.31/9.10 ((~m_main_v_state(s19, c_ready)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2106, 73, 2103])).
% 13.31/9.10 tff(2108,plain,
% 13.31/9.10 (~m_main_v_state(s19, c_ready)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2107, 2099, 2090])).
% 13.31/9.10 tff(2109,plain,
% 13.31/9.10 (~m_main_v_state(s19, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2066, 85, 2091])).
% 13.31/9.10 tff(2110,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2111,plain,
% 13.31/9.10 ((~![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))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2112,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 13.31/9.10 tff(2113,plain,
% 13.31/9.10 ($false),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2112, 102, 2109, 2108])).
% 13.31/9.10 tff(2114,plain,(~node4(s19)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.10 tff(2115,plain,
% 13.31/9.10 (xuntil6(s19) | (~until5(s19))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1773, 294, 2114])).
% 13.31/9.10 tff(2116,plain,
% 13.31/9.10 (xuntil6(s19)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2115, 2085])).
% 13.31/9.10 tff(2117,plain,
% 13.31/9.10 (until5(s20)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1779, 2116])).
% 13.31/9.10 tff(2118,assumption,(node4(s20)), introduced(assumption)).
% 13.31/9.10 tff(2119,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2120,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2121,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 13.31/9.10 tff(2122,plain,
% 13.31/9.10 (m_main_v_request(s20)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2121, 21, 2118])).
% 13.31/9.10 tff(2123,plain,
% 13.31/9.10 (always3(s20)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1783, 36, 2118])).
% 13.31/9.10 tff(2124,plain,
% 13.31/9.10 (always3(s21)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1664, 2123])).
% 13.31/9.10 tff(2125,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2126,plain,
% 13.31/9.10 (((~m_main_v_state(s21, c_busy)) | (~always3(s21))) <=> ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2127,plain,
% 13.31/9.10 (((~![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))))),
% 13.31/9.10 inference(monotonicity,[status(thm)],[2126])).
% 13.31/9.10 tff(2128,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(transitivity,[status(thm)],[2127, 2125])).
% 13.31/9.10 tff(2129,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2130,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 13.31/9.10 tff(2131,plain,
% 13.31/9.10 (~m_main_v_state(s21, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2130, 85, 2124])).
% 13.31/9.10 tff(2132,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2133,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2134,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 13.31/9.10 tff(2135,plain,
% 13.31/9.10 (node2(s20, s21)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2134, 7, 1660])).
% 13.31/9.10 tff(2136,plain,
% 13.31/9.10 (((~![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(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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2137,plain,
% 13.31/9.10 ((~![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(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2138,plain,
% 13.31/9.10 ((~![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(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2137, 2136])).
% 13.31/9.10 tff(2139,plain,
% 13.31/9.10 ((~m_main_v_state(s20, c_ready)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2138, 73, 2135])).
% 13.31/9.10 tff(2140,plain,
% 13.31/9.10 (~m_main_v_state(s20, c_ready)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2139, 2131, 2122])).
% 13.31/9.10 tff(2141,plain,
% 13.31/9.10 (~m_main_v_state(s20, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2098, 85, 2123])).
% 13.31/9.10 tff(2142,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2143,plain,
% 13.31/9.10 ((~![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))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2144,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 13.31/9.10 tff(2145,plain,
% 13.31/9.10 ($false),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2144, 102, 2141, 2140])).
% 13.31/9.10 tff(2146,plain,(~node4(s20)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.10 tff(2147,plain,
% 13.31/9.10 (xuntil6(s20) | (~until5(s20))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1790, 294, 2146])).
% 13.31/9.10 tff(2148,plain,
% 13.31/9.10 (xuntil6(s20)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2147, 2117])).
% 13.31/9.10 tff(2149,plain,
% 13.31/9.10 (until5(s21)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1796, 2148])).
% 13.31/9.10 tff(2150,assumption,(node4(s21)), introduced(assumption)).
% 13.31/9.10 tff(2151,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2152,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2153,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 13.31/9.10 tff(2154,plain,
% 13.31/9.10 (m_main_v_request(s21)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2153, 21, 2150])).
% 13.31/9.10 tff(2155,plain,
% 13.31/9.10 (always3(s21)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1800, 36, 2150])).
% 13.31/9.10 tff(2156,plain,
% 13.31/9.10 (always3(s22)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1652, 2155])).
% 13.31/9.10 tff(2157,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2158,plain,
% 13.31/9.10 (((~m_main_v_state(s22, c_busy)) | (~always3(s22))) <=> ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2159,plain,
% 13.31/9.10 (((~![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))))),
% 13.31/9.10 inference(monotonicity,[status(thm)],[2158])).
% 13.31/9.10 tff(2160,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(transitivity,[status(thm)],[2159, 2157])).
% 13.31/9.10 tff(2161,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2162,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2161, 2160])).
% 13.31/9.10 tff(2163,plain,
% 13.31/9.10 (~m_main_v_state(s22, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2162, 85, 2156])).
% 13.31/9.10 tff(2164,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2165,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2166,plain,
% 13.31/9.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2165, 2164])).
% 13.31/9.10 tff(2167,plain,
% 13.31/9.10 (node2(s21, s22)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2166, 7, 1648])).
% 13.31/9.10 tff(2168,plain,
% 13.31/9.10 (((~![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(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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2169,plain,
% 13.31/9.10 ((~![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(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2170,plain,
% 13.31/9.10 ((~![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(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2169, 2168])).
% 13.31/9.10 tff(2171,plain,
% 13.31/9.10 ((~m_main_v_state(s21, c_ready)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2170, 73, 2167])).
% 13.31/9.10 tff(2172,plain,
% 13.31/9.10 (~m_main_v_state(s21, c_ready)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2171, 2163, 2154])).
% 13.31/9.10 tff(2173,plain,
% 13.31/9.10 (~m_main_v_state(s21, c_busy)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2130, 85, 2155])).
% 13.31/9.10 tff(2174,plain,
% 13.31/9.10 (((~![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))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2175,plain,
% 13.31/9.10 ((~![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))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2176,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready)),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2175, 2174])).
% 13.31/9.10 tff(2177,plain,
% 13.31/9.10 ($false),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2176, 102, 2173, 2172])).
% 13.31/9.10 tff(2178,plain,(~node4(s21)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.10 tff(2179,plain,
% 13.31/9.10 (xuntil6(s21) | (~until5(s21))),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1807, 294, 2178])).
% 13.31/9.10 tff(2180,plain,
% 13.31/9.10 (xuntil6(s21)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2179, 2149])).
% 13.31/9.10 tff(2181,plain,
% 13.31/9.10 (until5(s22)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1813, 2180])).
% 13.31/9.10 tff(2182,assumption,(node4(s22)), introduced(assumption)).
% 13.31/9.10 tff(2183,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2184,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.10 tff(2185,plain,
% 13.31/9.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22))),
% 13.31/9.10 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 13.31/9.10 tff(2186,plain,
% 13.31/9.10 (m_main_v_request(s22)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[2185, 21, 2182])).
% 13.31/9.10 tff(2187,plain,
% 13.31/9.10 (always3(s22)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1817, 36, 2182])).
% 13.31/9.10 tff(2188,plain,
% 13.31/9.10 (always3(s23)),
% 13.31/9.10 inference(unit_resolution,[status(thm)],[1640, 2187])).
% 13.31/9.10 tff(2189,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2190,plain,
% 13.31/9.10 (((~m_main_v_state(s23, c_busy)) | (~always3(s23))) <=> ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 13.31/9.10 inference(rewrite,[status(thm)],[])).
% 13.31/9.10 tff(2191,plain,
% 13.31/9.10 (((~![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))))),
% 13.31/9.10 inference(monotonicity,[status(thm)],[2190])).
% 13.31/9.10 tff(2192,plain,
% 13.31/9.10 (((~![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)))),
% 13.31/9.10 inference(transitivity,[status(thm)],[2191, 2189])).
% 13.31/9.10 tff(2193,plain,
% 13.31/9.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))),
% 13.31/9.10 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2194,plain,
% 13.31/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy))),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2193, 2192])).
% 13.31/9.11 tff(2195,plain,
% 13.31/9.11 (~m_main_v_state(s23, c_busy)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2194, 85, 2188])).
% 13.31/9.11 tff(2196,plain,
% 13.31/9.11 (((~![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))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2197,plain,
% 13.31/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2198,plain,
% 13.31/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23)),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2197, 2196])).
% 13.31/9.11 tff(2199,plain,
% 13.31/9.11 (node2(s22, s23)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2198, 7, 1636])).
% 13.31/9.11 tff(2200,plain,
% 13.31/9.11 (((~![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(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)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2201,plain,
% 13.31/9.11 ((~![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(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2202,plain,
% 13.31/9.11 ((~![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(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2201, 2200])).
% 13.31/9.11 tff(2203,plain,
% 13.31/9.11 ((~m_main_v_state(s22, c_ready)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2202, 73, 2199])).
% 13.31/9.11 tff(2204,plain,
% 13.31/9.11 (~m_main_v_state(s22, c_ready)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2203, 2195, 2186])).
% 13.31/9.11 tff(2205,plain,
% 13.31/9.11 (~m_main_v_state(s22, c_busy)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2162, 85, 2187])).
% 13.31/9.11 tff(2206,plain,
% 13.31/9.11 (((~![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))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2207,plain,
% 13.31/9.11 ((~![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))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2208,plain,
% 13.31/9.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready)),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 13.31/9.11 tff(2209,plain,
% 13.31/9.11 ($false),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2208, 102, 2205, 2204])).
% 13.31/9.11 tff(2210,plain,(~node4(s22)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.11 tff(2211,plain,
% 13.31/9.11 (xuntil6(s22) | (~until5(s22))),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1824, 294, 2210])).
% 13.31/9.11 tff(2212,plain,
% 13.31/9.11 (xuntil6(s22)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2211, 2181])).
% 13.31/9.11 tff(2213,plain,
% 13.31/9.11 (until5(s23)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1830, 2212])).
% 13.31/9.11 tff(2214,assumption,(node4(s23)), introduced(assumption)).
% 13.31/9.11 tff(2215,plain,
% 13.31/9.11 (((~![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)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2216,plain,
% 13.31/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2217,plain,
% 13.31/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23))),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2216, 2215])).
% 13.31/9.11 tff(2218,plain,
% 13.31/9.11 (m_main_v_request(s23)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2217, 21, 2214])).
% 13.31/9.11 tff(2219,plain,
% 13.31/9.11 (always3(s23)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1834, 36, 2214])).
% 13.31/9.11 tff(2220,plain,
% 13.31/9.11 (always3(s24)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1628, 2219])).
% 13.31/9.11 tff(2221,plain,
% 13.31/9.11 (((~![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)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2222,plain,
% 13.31/9.11 (((~m_main_v_state(s24, c_busy)) | (~always3(s24))) <=> ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2223,plain,
% 13.31/9.11 (((~![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))))),
% 13.31/9.11 inference(monotonicity,[status(thm)],[2222])).
% 13.31/9.11 tff(2224,plain,
% 13.31/9.11 (((~![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)))),
% 13.31/9.11 inference(transitivity,[status(thm)],[2223, 2221])).
% 13.31/9.11 tff(2225,plain,
% 13.31/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2226,plain,
% 13.31/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy))),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2225, 2224])).
% 13.31/9.11 tff(2227,plain,
% 13.31/9.11 (~m_main_v_state(s24, c_busy)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2226, 85, 2220])).
% 13.31/9.11 tff(2228,plain,
% 13.31/9.11 (((~![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))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2229,plain,
% 13.31/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2230,plain,
% 13.31/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24)),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 13.31/9.11 tff(2231,plain,
% 13.31/9.11 (node2(s23, s24)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2230, 7, 1624])).
% 13.31/9.11 tff(2232,plain,
% 13.31/9.11 (((~![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(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)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2233,plain,
% 13.31/9.11 ((~![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(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2234,plain,
% 13.31/9.11 ((~![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(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 13.31/9.11 tff(2235,plain,
% 13.31/9.11 ((~m_main_v_state(s23, c_ready)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2234, 73, 2231])).
% 13.31/9.11 tff(2236,plain,
% 13.31/9.11 (~m_main_v_state(s23, c_ready)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2235, 2227, 2218])).
% 13.31/9.11 tff(2237,plain,
% 13.31/9.11 (~m_main_v_state(s23, c_busy)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2194, 85, 2219])).
% 13.31/9.11 tff(2238,plain,
% 13.31/9.11 (((~![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))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2239,plain,
% 13.31/9.11 ((~![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))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2240,plain,
% 13.31/9.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready)),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 13.31/9.11 tff(2241,plain,
% 13.31/9.11 ($false),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2240, 102, 2237, 2236])).
% 13.31/9.11 tff(2242,plain,(~node4(s23)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.11 tff(2243,plain,
% 13.31/9.11 (xuntil6(s23) | (~until5(s23))),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1841, 294, 2242])).
% 13.31/9.11 tff(2244,plain,
% 13.31/9.11 (xuntil6(s23)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2243, 2213])).
% 13.31/9.11 tff(2245,plain,
% 13.31/9.11 (until5(s24)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1847, 2244])).
% 13.31/9.11 tff(2246,assumption,(node4(s24)), introduced(assumption)).
% 13.31/9.11 tff(2247,plain,
% 13.31/9.11 (((~![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)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2248,plain,
% 13.31/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2249,plain,
% 13.31/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24))),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2248, 2247])).
% 13.31/9.11 tff(2250,plain,
% 13.31/9.11 (m_main_v_request(s24)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2249, 21, 2246])).
% 13.31/9.11 tff(2251,plain,
% 13.31/9.11 (always3(s24)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1851, 36, 2246])).
% 13.31/9.11 tff(2252,plain,
% 13.31/9.11 (always3(s25)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1616, 2251])).
% 13.31/9.11 tff(2253,plain,
% 13.31/9.11 (((~![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)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2254,plain,
% 13.31/9.11 (((~m_main_v_state(s25, c_busy)) | (~always3(s25))) <=> ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2255,plain,
% 13.31/9.11 (((~![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))))),
% 13.31/9.11 inference(monotonicity,[status(thm)],[2254])).
% 13.31/9.11 tff(2256,plain,
% 13.31/9.11 (((~![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)))),
% 13.31/9.11 inference(transitivity,[status(thm)],[2255, 2253])).
% 13.31/9.11 tff(2257,plain,
% 13.31/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2258,plain,
% 13.31/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy))),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 13.31/9.11 tff(2259,plain,
% 13.31/9.11 (~m_main_v_state(s25, c_busy)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2258, 85, 2252])).
% 13.31/9.11 tff(2260,plain,
% 13.31/9.11 (((~![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))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2261,plain,
% 13.31/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2262,plain,
% 13.31/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25)),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2261, 2260])).
% 13.31/9.11 tff(2263,plain,
% 13.31/9.11 (node2(s24, s25)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2262, 7, 1612])).
% 13.31/9.11 tff(2264,plain,
% 13.31/9.11 (((~![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_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)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2265,plain,
% 13.31/9.11 ((~![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_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2266,plain,
% 13.31/9.11 ((~![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_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2265, 2264])).
% 13.31/9.11 tff(2267,plain,
% 13.31/9.11 ((~m_main_v_state(s24, c_ready)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2266, 73, 2263])).
% 13.31/9.11 tff(2268,plain,
% 13.31/9.11 (~m_main_v_state(s24, c_ready)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2267, 2259, 2250])).
% 13.31/9.11 tff(2269,plain,
% 13.31/9.11 (~m_main_v_state(s24, c_busy)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2226, 85, 2251])).
% 13.31/9.11 tff(2270,plain,
% 13.31/9.11 (((~![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))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2271,plain,
% 13.31/9.11 ((~![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))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.31/9.11 tff(2272,plain,
% 13.31/9.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready)),
% 13.31/9.11 inference(modus_ponens,[status(thm)],[2271, 2270])).
% 13.31/9.11 tff(2273,plain,
% 13.31/9.11 ($false),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2272, 102, 2269, 2268])).
% 13.31/9.11 tff(2274,plain,(~node4(s24)), inference(lemma,lemma(discharge,[]))).
% 13.31/9.11 tff(2275,plain,
% 13.31/9.11 (xuntil6(s24) | (~until5(s24))),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1858, 294, 2274])).
% 13.31/9.11 tff(2276,plain,
% 13.31/9.11 (xuntil6(s24)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[2275, 2245])).
% 13.31/9.11 tff(2277,plain,
% 13.31/9.11 (until5(s25)),
% 13.31/9.11 inference(unit_resolution,[status(thm)],[1864, 2276])).
% 13.31/9.11 tff(2278,assumption,(node4(s25)), introduced(assumption)).
% 13.31/9.11 tff(2279,plain,
% 13.31/9.11 (((~![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)))),
% 13.31/9.11 inference(rewrite,[status(thm)],[])).
% 13.31/9.11 tff(2280,plain,
% 13.31/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))),
% 13.31/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2281,plain,
% 13.40/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25))),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2280, 2279])).
% 13.40/9.11 tff(2282,plain,
% 13.40/9.11 (m_main_v_request(s25)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2281, 21, 2278])).
% 13.40/9.11 tff(2283,plain,
% 13.40/9.11 (always3(s25)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1868, 36, 2278])).
% 13.40/9.11 tff(2284,plain,
% 13.40/9.11 (always3(s26)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1604, 2283])).
% 13.40/9.11 tff(2285,plain,
% 13.40/9.11 (((~![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)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2286,plain,
% 13.40/9.11 (((~m_main_v_state(s26, c_busy)) | (~always3(s26))) <=> ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2287,plain,
% 13.40/9.11 (((~![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))))),
% 13.40/9.11 inference(monotonicity,[status(thm)],[2286])).
% 13.40/9.11 tff(2288,plain,
% 13.40/9.11 (((~![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)))),
% 13.40/9.11 inference(transitivity,[status(thm)],[2287, 2285])).
% 13.40/9.11 tff(2289,plain,
% 13.40/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2290,plain,
% 13.40/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy))),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 13.40/9.11 tff(2291,plain,
% 13.40/9.11 (~m_main_v_state(s26, c_busy)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2290, 85, 2284])).
% 13.40/9.11 tff(2292,plain,
% 13.40/9.11 (((~![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))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2293,plain,
% 13.40/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2294,plain,
% 13.40/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26)),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 13.40/9.11 tff(2295,plain,
% 13.40/9.11 (node2(s25, s26)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2294, 7, 1600])).
% 13.40/9.11 tff(2296,plain,
% 13.40/9.11 (((~![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(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)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2297,plain,
% 13.40/9.11 ((~![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(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2298,plain,
% 13.40/9.11 ((~![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(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 13.40/9.11 tff(2299,plain,
% 13.40/9.11 ((~m_main_v_state(s25, c_ready)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2298, 73, 2295])).
% 13.40/9.11 tff(2300,plain,
% 13.40/9.11 (~m_main_v_state(s25, c_ready)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2299, 2291, 2282])).
% 13.40/9.11 tff(2301,plain,
% 13.40/9.11 (~m_main_v_state(s25, c_busy)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2258, 85, 2283])).
% 13.40/9.11 tff(2302,plain,
% 13.40/9.11 (((~![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))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2303,plain,
% 13.40/9.11 ((~![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))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2304,plain,
% 13.40/9.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready)),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 13.40/9.11 tff(2305,plain,
% 13.40/9.11 ($false),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2304, 102, 2301, 2300])).
% 13.40/9.11 tff(2306,plain,(~node4(s25)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.11 tff(2307,plain,
% 13.40/9.11 (xuntil6(s25) | (~until5(s25))),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1875, 294, 2306])).
% 13.40/9.11 tff(2308,plain,
% 13.40/9.11 (xuntil6(s25)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2307, 2277])).
% 13.40/9.11 tff(2309,plain,
% 13.40/9.11 (until5(s26)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1881, 2308])).
% 13.40/9.11 tff(2310,assumption,(node4(s26)), introduced(assumption)).
% 13.40/9.11 tff(2311,plain,
% 13.40/9.11 (((~![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)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2312,plain,
% 13.40/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2313,plain,
% 13.40/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26))),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2312, 2311])).
% 13.40/9.11 tff(2314,plain,
% 13.40/9.11 (m_main_v_request(s26)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2313, 21, 2310])).
% 13.40/9.11 tff(2315,plain,
% 13.40/9.11 (always3(s26)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1885, 36, 2310])).
% 13.40/9.11 tff(2316,plain,
% 13.40/9.11 (always3(s27)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1592, 2315])).
% 13.40/9.11 tff(2317,plain,
% 13.40/9.11 (((~![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)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2318,plain,
% 13.40/9.11 (((~m_main_v_state(s27, c_busy)) | (~always3(s27))) <=> ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2319,plain,
% 13.40/9.11 (((~![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))))),
% 13.40/9.11 inference(monotonicity,[status(thm)],[2318])).
% 13.40/9.11 tff(2320,plain,
% 13.40/9.11 (((~![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)))),
% 13.40/9.11 inference(transitivity,[status(thm)],[2319, 2317])).
% 13.40/9.11 tff(2321,plain,
% 13.40/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2322,plain,
% 13.40/9.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy))),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2321, 2320])).
% 13.40/9.11 tff(2323,plain,
% 13.40/9.11 (~m_main_v_state(s27, c_busy)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2322, 85, 2316])).
% 13.40/9.11 tff(2324,plain,
% 13.40/9.11 (((~![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))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2325,plain,
% 13.40/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2326,plain,
% 13.40/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27)),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2325, 2324])).
% 13.40/9.11 tff(2327,plain,
% 13.40/9.11 (node2(s26, s27)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2326, 7, 1588])).
% 13.40/9.11 tff(2328,plain,
% 13.40/9.11 (((~![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(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)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2329,plain,
% 13.40/9.11 ((~![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(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2330,plain,
% 13.40/9.11 ((~![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(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 13.40/9.11 tff(2331,plain,
% 13.40/9.11 ((~m_main_v_state(s26, c_ready)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2330, 73, 2327])).
% 13.40/9.11 tff(2332,plain,
% 13.40/9.11 (~m_main_v_state(s26, c_ready)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2331, 2323, 2314])).
% 13.40/9.11 tff(2333,plain,
% 13.40/9.11 (~m_main_v_state(s26, c_busy)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2290, 85, 2315])).
% 13.40/9.11 tff(2334,plain,
% 13.40/9.11 (((~![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))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2335,plain,
% 13.40/9.11 ((~![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))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2336,plain,
% 13.40/9.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready)),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 13.40/9.11 tff(2337,plain,
% 13.40/9.11 ($false),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2336, 102, 2333, 2332])).
% 13.40/9.11 tff(2338,plain,(~node4(s26)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.11 tff(2339,plain,
% 13.40/9.11 (xuntil6(s26) | (~until5(s26))),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1892, 294, 2338])).
% 13.40/9.11 tff(2340,plain,
% 13.40/9.11 (xuntil6(s26)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2339, 2309])).
% 13.40/9.11 tff(2341,plain,
% 13.40/9.11 (until5(s27)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1898, 2340])).
% 13.40/9.11 tff(2342,assumption,(node4(s27)), introduced(assumption)).
% 13.40/9.11 tff(2343,plain,
% 13.40/9.11 (((~![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)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2344,plain,
% 13.40/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2345,plain,
% 13.40/9.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27))),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2344, 2343])).
% 13.40/9.11 tff(2346,plain,
% 13.40/9.11 (m_main_v_request(s27)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2345, 21, 2342])).
% 13.40/9.11 tff(2347,plain,
% 13.40/9.11 (always3(s27)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1572, 36, 2342])).
% 13.40/9.11 tff(2348,plain,
% 13.40/9.11 (always3(s28)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1568, 2347])).
% 13.40/9.11 tff(2349,plain,
% 13.40/9.11 (~m_main_v_state(s28, c_busy)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[174, 85, 2348])).
% 13.40/9.11 tff(2350,plain,
% 13.40/9.11 (((~![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))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2351,plain,
% 13.40/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2352,plain,
% 13.40/9.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28)),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2351, 2350])).
% 13.40/9.11 tff(2353,plain,
% 13.40/9.11 (node2(s27, s28)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2352, 7, 1564])).
% 13.40/9.11 tff(2354,plain,
% 13.40/9.11 (((~![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(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)))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2355,plain,
% 13.40/9.11 ((~![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(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2356,plain,
% 13.40/9.11 ((~![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(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2355, 2354])).
% 13.40/9.11 tff(2357,plain,
% 13.40/9.11 ((~m_main_v_state(s27, c_ready)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2356, 73, 2353])).
% 13.40/9.11 tff(2358,plain,
% 13.40/9.11 (~m_main_v_state(s27, c_ready)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2357, 2349, 2346])).
% 13.40/9.11 tff(2359,plain,
% 13.40/9.11 (~m_main_v_state(s27, c_busy)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2322, 85, 2347])).
% 13.40/9.11 tff(2360,plain,
% 13.40/9.11 (((~![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))),
% 13.40/9.11 inference(rewrite,[status(thm)],[])).
% 13.40/9.11 tff(2361,plain,
% 13.40/9.11 ((~![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))),
% 13.40/9.11 inference(quant_inst,[status(thm)],[])).
% 13.40/9.11 tff(2362,plain,
% 13.40/9.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready)),
% 13.40/9.11 inference(modus_ponens,[status(thm)],[2361, 2360])).
% 13.40/9.11 tff(2363,plain,
% 13.40/9.11 ($false),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2362, 102, 2359, 2358])).
% 13.40/9.11 tff(2364,plain,(~node4(s27)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.11 tff(2365,plain,
% 13.40/9.11 (xuntil6(s27) | (~until5(s27))),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1579, 294, 2364])).
% 13.40/9.11 tff(2366,plain,
% 13.40/9.11 (xuntil6(s27)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2365, 2341])).
% 13.40/9.11 tff(2367,plain,
% 13.40/9.11 (until5(s28)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1559, 2366])).
% 13.40/9.11 tff(2368,plain,
% 13.40/9.11 (xuntil6(s28) | node4(s28)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[1550, 294, 2367])).
% 13.40/9.11 tff(2369,plain,
% 13.40/9.11 (xuntil6(s28)),
% 13.40/9.11 inference(unit_resolution,[status(thm)],[2368, 1989])).
% 13.40/9.11 tff(2370,plain,
% 13.40/9.11 (until5(s29)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1541, 2369])).
% 13.40/9.12 tff(2371,assumption,(node4(s29)), introduced(assumption)).
% 13.40/9.12 tff(2372,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2373,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2374,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 13.40/9.12 tff(2375,plain,
% 13.40/9.12 (m_main_v_request(s29)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2374, 21, 2371])).
% 13.40/9.12 tff(2376,plain,
% 13.40/9.12 (always3(s29)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1528, 36, 2371])).
% 13.40/9.12 tff(2377,plain,
% 13.40/9.12 (always3(s30)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1524, 2376])).
% 13.40/9.12 tff(2378,plain,
% 13.40/9.12 (~m_main_v_state(s30, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[272, 85, 2377])).
% 13.40/9.12 tff(2379,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2380,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2381,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 13.40/9.12 tff(2382,plain,
% 13.40/9.12 (node2(s29, s30)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2381, 7, 1520])).
% 13.40/9.12 tff(2383,plain,
% 13.40/9.12 (((~![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(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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2384,plain,
% 13.40/9.12 ((~![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(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2385,plain,
% 13.40/9.12 ((~![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(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 13.40/9.12 tff(2386,plain,
% 13.40/9.12 ((~m_main_v_state(s29, c_ready)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2385, 73, 2382])).
% 13.40/9.12 tff(2387,plain,
% 13.40/9.12 (~m_main_v_state(s29, c_ready)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2386, 2378, 2375])).
% 13.40/9.12 tff(2388,plain,
% 13.40/9.12 (~m_main_v_state(s29, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[158, 85, 2376])).
% 13.40/9.12 tff(2389,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2390,plain,
% 13.40/9.12 ((~![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))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2391,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 13.40/9.12 tff(2392,plain,
% 13.40/9.12 ($false),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2391, 102, 2388, 2387])).
% 13.40/9.12 tff(2393,plain,(~node4(s29)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.12 tff(2394,plain,
% 13.40/9.12 (xuntil6(s29) | (~until5(s29))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1535, 294, 2393])).
% 13.40/9.12 tff(2395,plain,
% 13.40/9.12 (xuntil6(s29)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2394, 2370])).
% 13.40/9.12 tff(2396,plain,
% 13.40/9.12 (until5(s30)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1515, 2395])).
% 13.40/9.12 tff(2397,plain,
% 13.40/9.12 (xuntil6(s30) | node4(s30)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1506, 294, 2396])).
% 13.40/9.12 tff(2398,plain,
% 13.40/9.12 (xuntil6(s30)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2397, 1988])).
% 13.40/9.12 tff(2399,plain,
% 13.40/9.12 (until5(s31)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1497, 2398])).
% 13.40/9.12 tff(2400,assumption,(node4(s31)), introduced(assumption)).
% 13.40/9.12 tff(2401,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2402,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2403,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 13.40/9.12 tff(2404,plain,
% 13.40/9.12 (m_main_v_request(s31)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2403, 21, 2400])).
% 13.40/9.12 tff(2405,plain,
% 13.40/9.12 (always3(s31)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1484, 36, 2400])).
% 13.40/9.12 tff(2406,plain,
% 13.40/9.12 (always3(s32)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1480, 2405])).
% 13.40/9.12 tff(2407,plain,
% 13.40/9.12 (~m_main_v_state(s32, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[223, 85, 2406])).
% 13.40/9.12 tff(2408,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2409,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2410,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 13.40/9.12 tff(2411,plain,
% 13.40/9.12 (node2(s31, s32)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2410, 7, 1476])).
% 13.40/9.12 tff(2412,plain,
% 13.40/9.12 (((~![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(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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2413,plain,
% 13.40/9.12 ((~![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(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2414,plain,
% 13.40/9.12 ((~![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(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 13.40/9.12 tff(2415,plain,
% 13.40/9.12 ((~m_main_v_state(s31, c_ready)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2414, 73, 2411])).
% 13.40/9.12 tff(2416,plain,
% 13.40/9.12 (~m_main_v_state(s31, c_ready)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2415, 2407, 2404])).
% 13.40/9.12 tff(2417,plain,
% 13.40/9.12 (~m_main_v_state(s31, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[256, 85, 2405])).
% 13.40/9.12 tff(2418,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2419,plain,
% 13.40/9.12 ((~![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))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2420,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2419, 2418])).
% 13.40/9.12 tff(2421,plain,
% 13.40/9.12 ($false),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2420, 102, 2417, 2416])).
% 13.40/9.12 tff(2422,plain,(~node4(s31)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.12 tff(2423,plain,
% 13.40/9.12 (xuntil6(s31) | (~until5(s31))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1491, 294, 2422])).
% 13.40/9.12 tff(2424,plain,
% 13.40/9.12 (xuntil6(s31)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2423, 2399])).
% 13.40/9.12 tff(2425,plain,
% 13.40/9.12 (until5(s32)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1471, 2424])).
% 13.40/9.12 tff(2426,plain,
% 13.40/9.12 (xuntil6(s32)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1462, 294, 2425, 1987])).
% 13.40/9.12 tff(2427,plain,
% 13.40/9.12 (until5(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1453, 2426])).
% 13.40/9.12 tff(2428,assumption,(~always3(s35)), introduced(assumption)).
% 13.40/9.12 tff(2429,plain,
% 13.40/9.12 (~always3(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1407, 2428])).
% 13.40/9.12 tff(2430,plain,
% 13.40/9.12 (~node4(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1411, 36, 2429])).
% 13.40/9.12 tff(2431,plain,
% 13.40/9.12 (~node4(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1382, 36, 2428])).
% 13.40/9.12 tff(2432,assumption,(~xuntil6(s35)), introduced(assumption)).
% 13.40/9.12 tff(2433,plain,
% 13.40/9.12 (node4(s35) | (~until5(s35))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1389, 294, 2432])).
% 13.40/9.12 tff(2434,plain,
% 13.40/9.12 (~until5(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2433, 2431])).
% 13.40/9.12 tff(2435,plain,
% 13.40/9.12 (~xuntil6(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1398, 2434])).
% 13.40/9.12 tff(2436,plain,
% 13.40/9.12 (~always3(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1436, 2429])).
% 13.40/9.12 tff(2437,plain,
% 13.40/9.12 (~node4(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1440, 36, 2436])).
% 13.40/9.12 tff(2438,assumption,(until5(s33)), introduced(assumption)).
% 13.40/9.12 tff(2439,plain,
% 13.40/9.12 (xuntil6(s33) | node4(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1447, 294, 2438])).
% 13.40/9.12 tff(2440,plain,
% 13.40/9.12 (xuntil6(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2439, 2437])).
% 13.40/9.12 tff(2441,plain,
% 13.40/9.12 (until5(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1427, 2440])).
% 13.40/9.12 tff(2442,plain,
% 13.40/9.12 ($false),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1418, 294, 2441, 2435, 2430])).
% 13.40/9.12 tff(2443,plain,(always3(s35) | (~until5(s33)) | xuntil6(s35)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.12 tff(2444,plain,
% 13.40/9.12 (always3(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2443, 2427, 1986])).
% 13.40/9.12 tff(2445,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2446,plain,
% 13.40/9.12 (((~m_main_v_state(s35, c_busy)) | (~always3(s35))) <=> ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2447,plain,
% 13.40/9.12 (((~![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))))),
% 13.40/9.12 inference(monotonicity,[status(thm)],[2446])).
% 13.40/9.12 tff(2448,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(transitivity,[status(thm)],[2447, 2445])).
% 13.40/9.12 tff(2449,plain,
% 13.40/9.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2450,plain,
% 13.40/9.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 13.40/9.12 tff(2451,plain,
% 13.40/9.12 (~m_main_v_state(s35, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2450, 85, 2444])).
% 13.40/9.12 tff(2452,assumption,(~node4(s34)), introduced(assumption)).
% 13.40/9.12 tff(2453,plain,
% 13.40/9.12 (~until5(s36)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1984, 1321, 1320])).
% 13.40/9.12 tff(2454,plain,
% 13.40/9.12 (~xuntil6(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1369, 2453])).
% 13.40/9.12 tff(2455,plain,
% 13.40/9.12 (always3(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2443, 2432, 2438])).
% 13.40/9.12 tff(2456,plain,
% 13.40/9.12 (always3(s36)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1378, 2455])).
% 13.40/9.12 tff(2457,plain,
% 13.40/9.12 (~m_main_v_state(s36, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1975, 85, 2456])).
% 13.40/9.12 tff(2458,assumption,(until5(s35)), introduced(assumption)).
% 13.40/9.12 tff(2459,plain,
% 13.40/9.12 (xuntil6(s35) | node4(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1389, 294, 2458])).
% 13.40/9.12 tff(2460,plain,
% 13.40/9.12 (node4(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2459, 2432])).
% 13.40/9.12 tff(2461,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2462,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2463,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2462, 2461])).
% 13.40/9.12 tff(2464,plain,
% 13.40/9.12 (m_main_v_request(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2463, 21, 2460])).
% 13.40/9.12 tff(2465,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2466,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2467,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2466, 2465])).
% 13.40/9.12 tff(2468,plain,
% 13.40/9.12 (node2(s35, s36)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2467, 7, 1374])).
% 13.40/9.12 tff(2469,plain,
% 13.40/9.12 (((~![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(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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2470,plain,
% 13.40/9.12 ((~![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(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2471,plain,
% 13.40/9.12 ((~![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(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 13.40/9.12 tff(2472,plain,
% 13.40/9.12 ((~m_main_v_state(s35, c_ready)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2471, 73, 2468])).
% 13.40/9.12 tff(2473,plain,
% 13.40/9.12 (~m_main_v_state(s35, c_ready)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2472, 2464, 2457])).
% 13.40/9.12 tff(2474,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2475,plain,
% 13.40/9.12 ((~![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))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2476,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2475, 2474])).
% 13.40/9.12 tff(2477,plain,
% 13.40/9.12 (m_main_v_state(s35, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2476, 102, 2473])).
% 13.40/9.12 tff(2478,plain,
% 13.40/9.12 ($false),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2450, 85, 2455, 2477])).
% 13.40/9.12 tff(2479,plain,(xuntil6(s35) | (~until5(s35)) | (~until5(s33))), inference(lemma,lemma(discharge,[]))).
% 13.40/9.12 tff(2480,plain,
% 13.40/9.12 (~until5(s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2479, 2438, 2432])).
% 13.40/9.12 tff(2481,plain,
% 13.40/9.12 (~xuntil6(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1398, 2480])).
% 13.40/9.12 tff(2482,assumption,(node4(s33)), introduced(assumption)).
% 13.40/9.12 tff(2483,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2484,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2485,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2484, 2483])).
% 13.40/9.12 tff(2486,plain,
% 13.40/9.12 (m_main_v_request(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2485, 21, 2482])).
% 13.40/9.12 tff(2487,plain,
% 13.40/9.12 (always3(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1440, 36, 2482])).
% 13.40/9.12 tff(2488,plain,
% 13.40/9.12 (always3(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1436, 2487])).
% 13.40/9.12 tff(2489,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2490,plain,
% 13.40/9.12 (((~m_main_v_state(s34, c_busy)) | (~always3(s34))) <=> ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2491,plain,
% 13.40/9.12 (((~![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))))),
% 13.40/9.12 inference(monotonicity,[status(thm)],[2490])).
% 13.40/9.12 tff(2492,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(transitivity,[status(thm)],[2491, 2489])).
% 13.40/9.12 tff(2493,plain,
% 13.40/9.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2494,plain,
% 13.40/9.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2493, 2492])).
% 13.40/9.12 tff(2495,plain,
% 13.40/9.12 (~m_main_v_state(s34, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2494, 85, 2488])).
% 13.40/9.12 tff(2496,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2497,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2498,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2497, 2496])).
% 13.40/9.12 tff(2499,plain,
% 13.40/9.12 (node2(s33, s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2498, 7, 1432])).
% 13.40/9.12 tff(2500,plain,
% 13.40/9.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s33, c_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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2501,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2502,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2501, 2500])).
% 13.40/9.12 tff(2503,plain,
% 13.40/9.12 ((~m_main_v_state(s33, c_ready)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2502, 73, 2499])).
% 13.40/9.12 tff(2504,plain,
% 13.40/9.12 (~m_main_v_state(s33, c_ready)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2503, 2495, 2486])).
% 13.40/9.12 tff(2505,plain,
% 13.40/9.12 (~m_main_v_state(s33, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[207, 85, 2487])).
% 13.40/9.12 tff(2506,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2507,plain,
% 13.40/9.12 ((~![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))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2508,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2507, 2506])).
% 13.40/9.12 tff(2509,plain,
% 13.40/9.12 ($false),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2508, 102, 2505, 2504])).
% 13.40/9.12 tff(2510,plain,(~node4(s33)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.12 tff(2511,plain,
% 13.40/9.12 (xuntil6(s33) | (~until5(s33))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1447, 294, 2510])).
% 13.40/9.12 tff(2512,plain,
% 13.40/9.12 (xuntil6(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2511, 2438])).
% 13.40/9.12 tff(2513,plain,
% 13.40/9.12 (until5(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1427, 2512])).
% 13.40/9.12 tff(2514,plain,
% 13.40/9.12 ($false),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1418, 294, 2513, 2481, 2452])).
% 13.40/9.12 tff(2515,plain,((~until5(s33)) | node4(s34) | xuntil6(s35)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.12 tff(2516,plain,
% 13.40/9.12 (~until5(s33)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2515, 2454, 2452])).
% 13.40/9.12 tff(2517,plain,
% 13.40/9.12 (~xuntil6(s32)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1453, 2516])).
% 13.40/9.12 tff(2518,plain,
% 13.40/9.12 (~until5(s32)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1462, 294, 2517, 1987])).
% 13.40/9.12 tff(2519,plain,
% 13.40/9.12 (~xuntil6(s31)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1471, 2518])).
% 13.40/9.12 tff(2520,plain,
% 13.40/9.12 (~until5(s31)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2423, 2519])).
% 13.40/9.12 tff(2521,plain,
% 13.40/9.12 (~xuntil6(s30)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1497, 2520])).
% 13.40/9.12 tff(2522,plain,
% 13.40/9.12 (xuntil6(s16)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2019, 1321])).
% 13.40/9.12 tff(2523,plain,
% 13.40/9.12 (until5(s17)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1733, 2522])).
% 13.40/9.12 tff(2524,plain,
% 13.40/9.12 (xuntil6(s17)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2051, 2523])).
% 13.40/9.12 tff(2525,plain,
% 13.40/9.12 (until5(s18)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1745, 2524])).
% 13.40/9.12 tff(2526,plain,
% 13.40/9.12 (xuntil6(s18)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2083, 2525])).
% 13.40/9.12 tff(2527,plain,
% 13.40/9.12 (until5(s19)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1762, 2526])).
% 13.40/9.12 tff(2528,plain,
% 13.40/9.12 (xuntil6(s19)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2115, 2527])).
% 13.40/9.12 tff(2529,plain,
% 13.40/9.12 (until5(s20)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1779, 2528])).
% 13.40/9.12 tff(2530,plain,
% 13.40/9.12 (xuntil6(s20)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2147, 2529])).
% 13.40/9.12 tff(2531,plain,
% 13.40/9.12 (until5(s21)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1796, 2530])).
% 13.40/9.12 tff(2532,plain,
% 13.40/9.12 (xuntil6(s21)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2179, 2531])).
% 13.40/9.12 tff(2533,plain,
% 13.40/9.12 (until5(s22)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1813, 2532])).
% 13.40/9.12 tff(2534,plain,
% 13.40/9.12 (xuntil6(s22)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2211, 2533])).
% 13.40/9.12 tff(2535,plain,
% 13.40/9.12 (until5(s23)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1830, 2534])).
% 13.40/9.12 tff(2536,plain,
% 13.40/9.12 (xuntil6(s23)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2243, 2535])).
% 13.40/9.12 tff(2537,plain,
% 13.40/9.12 (until5(s24)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1847, 2536])).
% 13.40/9.12 tff(2538,plain,
% 13.40/9.12 (xuntil6(s24)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2275, 2537])).
% 13.40/9.12 tff(2539,plain,
% 13.40/9.12 (until5(s25)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1864, 2538])).
% 13.40/9.12 tff(2540,plain,
% 13.40/9.12 (xuntil6(s25)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2307, 2539])).
% 13.40/9.12 tff(2541,plain,
% 13.40/9.12 (until5(s26)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1881, 2540])).
% 13.40/9.12 tff(2542,plain,
% 13.40/9.12 (xuntil6(s26)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2339, 2541])).
% 13.40/9.12 tff(2543,plain,
% 13.40/9.12 (until5(s27)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1898, 2542])).
% 13.40/9.12 tff(2544,plain,
% 13.40/9.12 (xuntil6(s27)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2365, 2543])).
% 13.40/9.12 tff(2545,plain,
% 13.40/9.12 (until5(s28)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1559, 2544])).
% 13.40/9.12 tff(2546,plain,
% 13.40/9.12 (xuntil6(s28)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1550, 294, 2545, 1989])).
% 13.40/9.12 tff(2547,plain,
% 13.40/9.12 (until5(s29)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1541, 2546])).
% 13.40/9.12 tff(2548,plain,
% 13.40/9.12 (xuntil6(s29)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2394, 2547])).
% 13.40/9.12 tff(2549,plain,
% 13.40/9.12 (until5(s30)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1515, 2548])).
% 13.40/9.12 tff(2550,plain,
% 13.40/9.12 ($false),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1506, 294, 2549, 2521, 1988])).
% 13.40/9.12 tff(2551,plain,((~until5(s16)) | node4(s30) | node4(s28) | node4(s32) | node4(s34) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.12 tff(2552,plain,
% 13.40/9.12 (node4(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2551, 1988, 1319, 1320, 1987, 1989])).
% 13.40/9.12 tff(2553,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2554,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2555,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 13.40/9.12 tff(2556,plain,
% 13.40/9.12 (m_main_v_request(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2555, 21, 2552])).
% 13.40/9.12 tff(2557,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2558,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2559,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2558, 2557])).
% 13.40/9.12 tff(2560,plain,
% 13.40/9.12 (node2(s34, s35)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2559, 7, 1403])).
% 13.40/9.12 tff(2561,plain,
% 13.40/9.12 (((~![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_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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2562,plain,
% 13.40/9.12 ((~![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_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2563,plain,
% 13.40/9.12 ((~![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_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2562, 2561])).
% 13.40/9.12 tff(2564,plain,
% 13.40/9.12 ((~m_main_v_state(s34, c_ready)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2563, 73, 2560])).
% 13.40/9.12 tff(2565,plain,
% 13.40/9.12 (~m_main_v_state(s34, c_ready)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2564, 2556, 2451])).
% 13.40/9.12 tff(2566,plain,
% 13.40/9.12 (always3(s34)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[1411, 36, 2552])).
% 13.40/9.12 tff(2567,plain,
% 13.40/9.12 (~m_main_v_state(s34, c_busy)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2494, 85, 2566])).
% 13.40/9.12 tff(2568,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2569,plain,
% 13.40/9.12 ((~![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))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2570,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2569, 2568])).
% 13.40/9.12 tff(2571,plain,
% 13.40/9.12 ($false),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2570, 102, 2567, 2565])).
% 13.40/9.12 tff(2572,plain,(node4(s30) | node4(s32) | xuntil6(s37) | node4(s28)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.12 tff(2573,plain,
% 13.40/9.12 (node4(s32) | xuntil6(s37) | node4(s28)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2572, 278])).
% 13.40/9.12 tff(2574,plain,
% 13.40/9.12 (xuntil6(s37)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2573, 229, 180])).
% 13.40/9.12 tff(2575,plain,
% 13.40/9.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2576,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2577,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 13.40/9.12 tff(2578,plain,
% 13.40/9.12 ((~xuntil6(s37)) | until5(s38)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2577, 1904, 312])).
% 13.40/9.12 tff(2579,plain,
% 13.40/9.12 (until5(s38)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2578, 2574])).
% 13.40/9.12 tff(2580,assumption,(node4(s38)), introduced(assumption)).
% 13.40/9.12 tff(2581,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2582,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2583,plain,
% 13.40/9.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2582, 2581])).
% 13.40/9.12 tff(2584,plain,
% 13.40/9.12 (m_main_v_request(s38)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2583, 21, 2580])).
% 13.40/9.12 tff(2585,plain,
% 13.40/9.12 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2586,plain,
% 13.40/9.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2587,plain,
% 13.40/9.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38))),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2586, 2585])).
% 13.40/9.12 tff(2588,plain,
% 13.40/9.12 (always3(s38)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2587, 36, 2580])).
% 13.40/9.12 tff(2589,plain,
% 13.40/9.12 (succ(s38, s39) <=> succ(s38, s39)),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2590,axiom,(succ(s38, s39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound39')).
% 13.40/9.12 tff(2591,plain,
% 13.40/9.12 (succ(s38, s39)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 13.40/9.12 tff(2592,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2593,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2594,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2593, 2592])).
% 13.40/9.12 tff(2595,plain,
% 13.40/9.12 (trans(s38, s39)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2594, 2591, 52])).
% 13.40/9.12 tff(2596,plain,
% 13.40/9.12 (((~![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))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2597,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 13.40/9.12 inference(quant_inst,[status(thm)],[])).
% 13.40/9.12 tff(2598,plain,
% 13.40/9.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39)),
% 13.40/9.12 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 13.40/9.12 tff(2599,plain,
% 13.40/9.12 ((~always3(s38)) | always3(s39)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2598, 125, 2595])).
% 13.40/9.12 tff(2600,plain,
% 13.40/9.12 (always3(s39)),
% 13.40/9.12 inference(unit_resolution,[status(thm)],[2599, 2588])).
% 13.40/9.12 tff(2601,plain,
% 13.40/9.12 (((~![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)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2602,plain,
% 13.40/9.12 (((~m_main_v_state(s39, c_busy)) | (~always3(s39))) <=> ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 13.40/9.12 inference(rewrite,[status(thm)],[])).
% 13.40/9.12 tff(2603,plain,
% 13.40/9.12 (((~![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))))),
% 13.40/9.13 inference(monotonicity,[status(thm)],[2602])).
% 13.40/9.13 tff(2604,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(transitivity,[status(thm)],[2603, 2601])).
% 13.40/9.13 tff(2605,plain,
% 13.40/9.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2606,plain,
% 13.40/9.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2605, 2604])).
% 13.40/9.13 tff(2607,plain,
% 13.40/9.13 (~m_main_v_state(s39, c_busy)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2606, 85, 2600])).
% 13.40/9.13 tff(2608,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2609,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2610,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 13.40/9.13 tff(2611,plain,
% 13.40/9.13 (node2(s38, s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2610, 7, 2595])).
% 13.40/9.13 tff(2612,plain,
% 13.40/9.13 (((~![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(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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2613,plain,
% 13.40/9.13 ((~![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(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2614,plain,
% 13.40/9.13 ((~![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(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2613, 2612])).
% 13.40/9.13 tff(2615,plain,
% 13.40/9.13 ((~m_main_v_state(s38, c_ready)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2614, 73, 2611])).
% 13.40/9.13 tff(2616,plain,
% 13.40/9.13 (~m_main_v_state(s38, c_ready)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2615, 2607, 2584])).
% 13.40/9.13 tff(2617,plain,
% 13.40/9.13 (~m_main_v_state(s38, c_busy)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[1919, 85, 2588])).
% 13.40/9.13 tff(2618,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2619,plain,
% 13.40/9.13 ((~![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))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2620,plain,
% 13.40/9.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 13.40/9.13 tff(2621,plain,
% 13.40/9.13 ($false),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2620, 102, 2617, 2616])).
% 13.40/9.13 tff(2622,plain,(~node4(s38)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.13 tff(2623,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s38) | node4(s38) | (~until5(s38)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2624,plain,
% 13.40/9.13 ((node4(s38) | (~until5(s38)) | xuntil6(s38)) <=> (xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2625,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s38) | node4(s38) | (~until5(s38))))),
% 13.40/9.13 inference(monotonicity,[status(thm)],[2624])).
% 13.40/9.13 tff(2626,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 13.40/9.13 inference(transitivity,[status(thm)],[2625, 2623])).
% 13.40/9.13 tff(2627,plain,
% 13.40/9.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2628,plain,
% 13.40/9.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 13.40/9.13 tff(2629,plain,
% 13.40/9.13 (xuntil6(s38) | (~until5(s38))),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2628, 294, 2622])).
% 13.40/9.13 tff(2630,plain,
% 13.40/9.13 (xuntil6(s38)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2629, 2579])).
% 13.40/9.13 tff(2631,plain,
% 13.40/9.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2632,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2633,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2632, 2631])).
% 13.40/9.13 tff(2634,plain,
% 13.40/9.13 ((~xuntil6(s38)) | until5(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2633, 2591, 312])).
% 13.40/9.13 tff(2635,plain,
% 13.40/9.13 (until5(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2634, 2630])).
% 13.40/9.13 tff(2636,assumption,(until5(s39)), introduced(assumption)).
% 13.40/9.13 tff(2637,assumption,(~xuntil6(s40)), introduced(assumption)).
% 13.40/9.13 tff(2638,assumption,(~always3(s40)), introduced(assumption)).
% 13.40/9.13 tff(2639,plain,
% 13.40/9.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2640,plain,
% 13.40/9.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2641,plain,
% 13.40/9.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 13.40/9.13 tff(2642,plain,
% 13.40/9.13 (~node4(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2641, 36, 2638])).
% 13.40/9.13 tff(2643,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s40) | node4(s40) | (~until5(s40)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2644,plain,
% 13.40/9.13 ((node4(s40) | (~until5(s40)) | xuntil6(s40)) <=> (xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2645,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s40) | node4(s40) | (~until5(s40))))),
% 13.40/9.13 inference(monotonicity,[status(thm)],[2644])).
% 13.40/9.13 tff(2646,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 13.40/9.13 inference(transitivity,[status(thm)],[2645, 2643])).
% 13.40/9.13 tff(2647,plain,
% 13.40/9.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2648,plain,
% 13.40/9.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 13.40/9.13 tff(2649,plain,
% 13.40/9.13 (node4(s40) | (~until5(s40))),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2648, 294, 2637])).
% 13.40/9.13 tff(2650,plain,
% 13.40/9.13 (~until5(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2649, 2642])).
% 13.40/9.13 tff(2651,plain,
% 13.40/9.13 (succ(s39, s40) <=> succ(s39, s40)),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2652,axiom,(succ(s39, s40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound40')).
% 13.40/9.13 tff(2653,plain,
% 13.40/9.13 (succ(s39, s40)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2652, 2651])).
% 13.40/9.13 tff(2654,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2655,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2656,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 13.40/9.13 tff(2657,plain,
% 13.40/9.13 (trans(s39, s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2656, 2653, 52])).
% 13.40/9.13 tff(2658,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2659,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2660,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 13.40/9.13 tff(2661,plain,
% 13.40/9.13 ((~always3(s39)) | always3(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2660, 125, 2657])).
% 13.40/9.13 tff(2662,plain,
% 13.40/9.13 (~always3(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2661, 2638])).
% 13.40/9.13 tff(2663,plain,
% 13.40/9.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2664,plain,
% 13.40/9.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2665,plain,
% 13.40/9.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 13.40/9.13 tff(2666,plain,
% 13.40/9.13 (~node4(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2665, 36, 2662])).
% 13.40/9.13 tff(2667,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s39) | node4(s39) | (~until5(s39)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2668,plain,
% 13.40/9.13 ((node4(s39) | (~until5(s39)) | xuntil6(s39)) <=> (xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2669,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s39) | node4(s39) | (~until5(s39))))),
% 13.40/9.13 inference(monotonicity,[status(thm)],[2668])).
% 13.40/9.13 tff(2670,plain,
% 13.40/9.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 13.40/9.13 inference(transitivity,[status(thm)],[2669, 2667])).
% 13.40/9.13 tff(2671,plain,
% 13.40/9.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2672,plain,
% 13.40/9.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 13.40/9.13 tff(2673,plain,
% 13.40/9.13 (xuntil6(s39) | node4(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2672, 294, 2636])).
% 13.40/9.13 tff(2674,plain,
% 13.40/9.13 (xuntil6(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2673, 2666])).
% 13.40/9.13 tff(2675,plain,
% 13.40/9.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2676,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2677,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 13.40/9.13 tff(2678,plain,
% 13.40/9.13 ((~xuntil6(s39)) | until5(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2677, 2653, 312])).
% 13.40/9.13 tff(2679,plain,
% 13.40/9.13 ($false),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2678, 2674, 2650])).
% 13.40/9.13 tff(2680,plain,(always3(s40) | (~until5(s39)) | xuntil6(s40)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.13 tff(2681,plain,
% 13.40/9.13 (always3(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2680, 2637, 2636])).
% 13.40/9.13 tff(2682,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2683,plain,
% 13.40/9.13 (((~m_main_v_state(s40, c_busy)) | (~always3(s40))) <=> ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2684,plain,
% 13.40/9.13 (((~![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))))),
% 13.40/9.13 inference(monotonicity,[status(thm)],[2683])).
% 13.40/9.13 tff(2685,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(transitivity,[status(thm)],[2684, 2682])).
% 13.40/9.13 tff(2686,plain,
% 13.40/9.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2687,plain,
% 13.40/9.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 13.40/9.13 tff(2688,plain,
% 13.40/9.13 (~m_main_v_state(s40, c_busy)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2687, 85, 2681])).
% 13.40/9.13 tff(2689,plain,
% 13.40/9.13 (succ(s40, s41) <=> succ(s40, s41)),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2690,axiom,(succ(s40, s41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound41')).
% 13.40/9.13 tff(2691,plain,
% 13.40/9.13 (succ(s40, s41)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 13.40/9.13 tff(2692,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2693,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2694,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 13.40/9.13 tff(2695,plain,
% 13.40/9.13 (trans(s40, s41)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2694, 2691, 52])).
% 13.40/9.13 tff(2696,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2697,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2698,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 13.40/9.13 tff(2699,plain,
% 13.40/9.13 ((~always3(s40)) | always3(s41)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2698, 125, 2695])).
% 13.40/9.13 tff(2700,plain,
% 13.40/9.13 (always3(s41)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2699, 2681])).
% 13.40/9.13 tff(2701,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2702,plain,
% 13.40/9.13 (((~m_main_v_state(s41, c_busy)) | (~always3(s41))) <=> ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2703,plain,
% 13.40/9.13 (((~![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))))),
% 13.40/9.13 inference(monotonicity,[status(thm)],[2702])).
% 13.40/9.13 tff(2704,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(transitivity,[status(thm)],[2703, 2701])).
% 13.40/9.13 tff(2705,plain,
% 13.40/9.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2706,plain,
% 13.40/9.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2705, 2704])).
% 13.40/9.13 tff(2707,plain,
% 13.40/9.13 (~m_main_v_state(s41, c_busy)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2706, 85, 2700])).
% 13.40/9.13 tff(2708,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2709,plain,
% 13.40/9.13 ((~![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))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2710,plain,
% 13.40/9.13 ((~![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)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2709, 2708])).
% 13.40/9.13 tff(2711,plain,
% 13.40/9.13 (m_main_v_state(s40, c_ready)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2710, 102, 2688])).
% 13.40/9.13 tff(2712,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2713,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2714,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 13.40/9.13 tff(2715,plain,
% 13.40/9.13 (node2(s40, s41)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2714, 7, 2695])).
% 13.40/9.13 tff(2716,plain,
% 13.40/9.13 (((~![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(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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2717,plain,
% 13.40/9.13 ((~![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(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2718,plain,
% 13.40/9.13 ((~![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(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 13.40/9.13 tff(2719,plain,
% 13.40/9.13 ((~m_main_v_state(s40, c_ready)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2718, 73, 2715])).
% 13.40/9.13 tff(2720,plain,
% 13.40/9.13 (~m_main_v_request(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2719, 2711, 2707])).
% 13.40/9.13 tff(2721,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2722,plain,
% 13.40/9.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2723,plain,
% 13.40/9.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 13.40/9.13 tff(2724,plain,
% 13.40/9.13 (~node4(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2723, 21, 2720])).
% 13.40/9.13 tff(2725,plain,
% 13.40/9.13 (~until5(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2649, 2724])).
% 13.40/9.13 tff(2726,plain,
% 13.40/9.13 (~xuntil6(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2678, 2725])).
% 13.40/9.13 tff(2727,plain,
% 13.40/9.13 (node4(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2673, 2726])).
% 13.40/9.13 tff(2728,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2729,plain,
% 13.40/9.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2730,plain,
% 13.40/9.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 13.40/9.13 tff(2731,plain,
% 13.40/9.13 (m_main_v_request(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2730, 21, 2727])).
% 13.40/9.13 tff(2732,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2733,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2734,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 13.40/9.13 tff(2735,plain,
% 13.40/9.13 (node2(s39, s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2734, 7, 2657])).
% 13.40/9.13 tff(2736,plain,
% 13.40/9.13 (((~![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(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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2737,plain,
% 13.40/9.13 ((~![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(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2738,plain,
% 13.40/9.13 ((~![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(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 13.40/9.13 tff(2739,plain,
% 13.40/9.13 ((~m_main_v_state(s39, c_ready)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2738, 73, 2735])).
% 13.40/9.13 tff(2740,plain,
% 13.40/9.13 (~m_main_v_state(s39, c_ready)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2739, 2731, 2688])).
% 13.40/9.13 tff(2741,plain,
% 13.40/9.13 (always3(s39)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2665, 36, 2727])).
% 13.40/9.13 tff(2742,plain,
% 13.40/9.13 (~m_main_v_state(s39, c_busy)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2606, 85, 2741])).
% 13.40/9.13 tff(2743,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2744,plain,
% 13.40/9.13 ((~![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))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2745,plain,
% 13.40/9.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 13.40/9.13 tff(2746,plain,
% 13.40/9.13 ($false),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2745, 102, 2742, 2740])).
% 13.40/9.13 tff(2747,plain,(xuntil6(s40) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 13.40/9.13 tff(2748,plain,
% 13.40/9.13 (xuntil6(s40)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2747, 2635])).
% 13.40/9.13 tff(2749,plain,
% 13.40/9.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2750,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2751,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2750, 2749])).
% 13.40/9.13 tff(2752,plain,
% 13.40/9.13 ((~xuntil6(s40)) | until5(s41)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2751, 2691, 312])).
% 13.40/9.13 tff(2753,plain,
% 13.40/9.13 (until5(s41)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2752, 2748])).
% 13.40/9.13 tff(2754,assumption,(node4(s41)), introduced(assumption)).
% 13.40/9.13 tff(2755,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2756,plain,
% 13.40/9.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s41) | (~node4(s41)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2757,plain,
% 13.40/9.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s41) | (~node4(s41))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 13.40/9.13 tff(2758,plain,
% 13.40/9.13 (m_main_v_request(s41)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2757, 21, 2754])).
% 13.40/9.13 tff(2759,plain,
% 13.40/9.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2760,plain,
% 13.40/9.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2761,plain,
% 13.40/9.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41))),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 13.40/9.13 tff(2762,plain,
% 13.40/9.13 (always3(s41)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2761, 36, 2754])).
% 13.40/9.13 tff(2763,plain,
% 13.40/9.13 (succ(s41, s42) <=> succ(s41, s42)),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2764,axiom,(succ(s41, s42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound42')).
% 13.40/9.13 tff(2765,plain,
% 13.40/9.13 (succ(s41, s42)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 13.40/9.13 tff(2766,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2767,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2768,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2767, 2766])).
% 13.40/9.13 tff(2769,plain,
% 13.40/9.13 (trans(s41, s42)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2768, 2765, 52])).
% 13.40/9.13 tff(2770,plain,
% 13.40/9.13 (((~![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))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2771,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2772,plain,
% 13.40/9.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42)),
% 13.40/9.13 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 13.40/9.13 tff(2773,plain,
% 13.40/9.13 ((~always3(s41)) | always3(s42)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2772, 125, 2769])).
% 13.40/9.13 tff(2774,plain,
% 13.40/9.13 (always3(s42)),
% 13.40/9.13 inference(unit_resolution,[status(thm)],[2773, 2762])).
% 13.40/9.13 tff(2775,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2776,plain,
% 13.40/9.13 (((~m_main_v_state(s42, c_busy)) | (~always3(s42))) <=> ((~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 13.40/9.13 inference(rewrite,[status(thm)],[])).
% 13.40/9.13 tff(2777,plain,
% 13.40/9.13 (((~![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))))),
% 13.40/9.13 inference(monotonicity,[status(thm)],[2776])).
% 13.40/9.13 tff(2778,plain,
% 13.40/9.13 (((~![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)))),
% 13.40/9.13 inference(transitivity,[status(thm)],[2777, 2775])).
% 13.40/9.13 tff(2779,plain,
% 13.40/9.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))),
% 13.40/9.13 inference(quant_inst,[status(thm)],[])).
% 13.40/9.13 tff(2780,plain,
% 13.40/9.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 13.40/9.14 tff(2781,plain,
% 13.40/9.14 (~m_main_v_state(s42, c_busy)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2780, 85, 2774])).
% 13.40/9.14 tff(2782,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2783,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s41, s42)) | node2(s41, s42))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2784,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s41, s42)) | node2(s41, s42)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2783, 2782])).
% 13.40/9.14 tff(2785,plain,
% 13.40/9.14 (node2(s41, s42)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2784, 7, 2769])).
% 13.40/9.14 tff(2786,plain,
% 13.40/9.14 (((~![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(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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2787,plain,
% 13.40/9.14 ((~![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(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2788,plain,
% 13.40/9.14 ((~![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(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 13.40/9.14 tff(2789,plain,
% 13.40/9.14 ((~m_main_v_state(s41, c_ready)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2788, 73, 2785])).
% 13.40/9.14 tff(2790,plain,
% 13.40/9.14 (~m_main_v_state(s41, c_ready)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2789, 2781, 2758])).
% 13.40/9.14 tff(2791,plain,
% 13.40/9.14 (~m_main_v_state(s41, c_busy)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2706, 85, 2762])).
% 13.40/9.14 tff(2792,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2793,plain,
% 13.40/9.14 ((~![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))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2794,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 13.40/9.14 tff(2795,plain,
% 13.40/9.14 ($false),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2794, 102, 2791, 2790])).
% 13.40/9.14 tff(2796,plain,(~node4(s41)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.14 tff(2797,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s41) | node4(s41) | (~until5(s41)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2798,plain,
% 13.40/9.14 ((node4(s41) | (~until5(s41)) | xuntil6(s41)) <=> (xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2799,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s41) | node4(s41) | (~until5(s41))))),
% 13.40/9.14 inference(monotonicity,[status(thm)],[2798])).
% 13.40/9.14 tff(2800,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 13.40/9.14 inference(transitivity,[status(thm)],[2799, 2797])).
% 13.40/9.14 tff(2801,plain,
% 13.40/9.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2802,plain,
% 13.40/9.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 13.40/9.14 tff(2803,plain,
% 13.40/9.14 (xuntil6(s41) | (~until5(s41))),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2802, 294, 2796])).
% 13.40/9.14 tff(2804,plain,
% 13.40/9.14 (xuntil6(s41)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2803, 2753])).
% 13.40/9.14 tff(2805,plain,
% 13.40/9.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2806,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2807,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 13.40/9.14 tff(2808,plain,
% 13.40/9.14 ((~xuntil6(s41)) | until5(s42)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2807, 2765, 312])).
% 13.40/9.14 tff(2809,plain,
% 13.40/9.14 (until5(s42)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2808, 2804])).
% 13.40/9.14 tff(2810,assumption,(until5(s42)), introduced(assumption)).
% 13.40/9.14 tff(2811,assumption,(~xuntil6(s51)), introduced(assumption)).
% 13.40/9.14 tff(2812,assumption,(~node4(s49)), introduced(assumption)).
% 13.40/9.14 tff(2813,assumption,(node4(s42)), introduced(assumption)).
% 13.40/9.14 tff(2814,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2815,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s42) | (~node4(s42)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2816,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s42) | (~node4(s42))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2815, 2814])).
% 13.40/9.14 tff(2817,plain,
% 13.40/9.14 (m_main_v_request(s42)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2816, 21, 2813])).
% 13.40/9.14 tff(2818,plain,
% 13.40/9.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2819,plain,
% 13.40/9.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2820,plain,
% 13.40/9.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2819, 2818])).
% 13.40/9.14 tff(2821,plain,
% 13.40/9.14 (always3(s42)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2820, 36, 2813])).
% 13.40/9.14 tff(2822,plain,
% 13.40/9.14 (succ(s42, s43) <=> succ(s42, s43)),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2823,axiom,(succ(s42, s43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound43')).
% 13.40/9.14 tff(2824,plain,
% 13.40/9.14 (succ(s42, s43)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 13.40/9.14 tff(2825,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2826,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2827,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2826, 2825])).
% 13.40/9.14 tff(2828,plain,
% 13.40/9.14 (trans(s42, s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2827, 2824, 52])).
% 13.40/9.14 tff(2829,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2830,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2831,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2830, 2829])).
% 13.40/9.14 tff(2832,plain,
% 13.40/9.14 ((~always3(s42)) | always3(s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2831, 125, 2828])).
% 13.40/9.14 tff(2833,plain,
% 13.40/9.14 (always3(s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2832, 2821])).
% 13.40/9.14 tff(2834,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2835,plain,
% 13.40/9.14 (((~m_main_v_state(s43, c_busy)) | (~always3(s43))) <=> ((~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2836,plain,
% 13.40/9.14 (((~![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))))),
% 13.40/9.14 inference(monotonicity,[status(thm)],[2835])).
% 13.40/9.14 tff(2837,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(transitivity,[status(thm)],[2836, 2834])).
% 13.40/9.14 tff(2838,plain,
% 13.40/9.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2839,plain,
% 13.40/9.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2838, 2837])).
% 13.40/9.14 tff(2840,plain,
% 13.40/9.14 (~m_main_v_state(s43, c_busy)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2839, 85, 2833])).
% 13.40/9.14 tff(2841,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2842,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s42, s43)) | node2(s42, s43))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2843,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s42, s43)) | node2(s42, s43)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 13.40/9.14 tff(2844,plain,
% 13.40/9.14 (node2(s42, s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2843, 7, 2828])).
% 13.40/9.14 tff(2845,plain,
% 13.40/9.14 (((~![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(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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2846,plain,
% 13.40/9.14 ((~![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(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2847,plain,
% 13.40/9.14 ((~![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(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2846, 2845])).
% 13.40/9.14 tff(2848,plain,
% 13.40/9.14 ((~m_main_v_state(s42, c_ready)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2847, 73, 2844])).
% 13.40/9.14 tff(2849,plain,
% 13.40/9.14 (~m_main_v_state(s42, c_ready)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2848, 2840, 2817])).
% 13.40/9.14 tff(2850,plain,
% 13.40/9.14 (~m_main_v_state(s42, c_busy)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2780, 85, 2821])).
% 13.40/9.14 tff(2851,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2852,plain,
% 13.40/9.14 ((~![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))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2853,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2852, 2851])).
% 13.40/9.14 tff(2854,plain,
% 13.40/9.14 ($false),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2853, 102, 2850, 2849])).
% 13.40/9.14 tff(2855,plain,(~node4(s42)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.14 tff(2856,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s42) | node4(s42) | (~until5(s42)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2857,plain,
% 13.40/9.14 ((node4(s42) | (~until5(s42)) | xuntil6(s42)) <=> (xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2858,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s42) | node4(s42) | (~until5(s42))))),
% 13.40/9.14 inference(monotonicity,[status(thm)],[2857])).
% 13.40/9.14 tff(2859,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 13.40/9.14 inference(transitivity,[status(thm)],[2858, 2856])).
% 13.40/9.14 tff(2860,plain,
% 13.40/9.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2861,plain,
% 13.40/9.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2860, 2859])).
% 13.40/9.14 tff(2862,plain,
% 13.40/9.14 (xuntil6(s42) | (~until5(s42))),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2861, 294, 2855])).
% 13.40/9.14 tff(2863,plain,
% 13.40/9.14 (xuntil6(s42)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2862, 2810])).
% 13.40/9.14 tff(2864,plain,
% 13.40/9.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2865,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2866,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 13.40/9.14 tff(2867,plain,
% 13.40/9.14 ((~xuntil6(s42)) | until5(s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2866, 2824, 312])).
% 13.40/9.14 tff(2868,plain,
% 13.40/9.14 (until5(s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2867, 2863])).
% 13.40/9.14 tff(2869,assumption,(node4(s43)), introduced(assumption)).
% 13.40/9.14 tff(2870,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2871,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s43) | (~node4(s43)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2872,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s43) | (~node4(s43))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2871, 2870])).
% 13.40/9.14 tff(2873,plain,
% 13.40/9.14 (m_main_v_request(s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2872, 21, 2869])).
% 13.40/9.14 tff(2874,plain,
% 13.40/9.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2875,plain,
% 13.40/9.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2876,plain,
% 13.40/9.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2875, 2874])).
% 13.40/9.14 tff(2877,plain,
% 13.40/9.14 (always3(s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2876, 36, 2869])).
% 13.40/9.14 tff(2878,plain,
% 13.40/9.14 (succ(s43, s44) <=> succ(s43, s44)),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2879,axiom,(succ(s43, s44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound44')).
% 13.40/9.14 tff(2880,plain,
% 13.40/9.14 (succ(s43, s44)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2879, 2878])).
% 13.40/9.14 tff(2881,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2882,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2883,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 13.40/9.14 tff(2884,plain,
% 13.40/9.14 (trans(s43, s44)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2883, 2880, 52])).
% 13.40/9.14 tff(2885,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2886,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2887,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 13.40/9.14 tff(2888,plain,
% 13.40/9.14 ((~always3(s43)) | always3(s44)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2887, 125, 2884])).
% 13.40/9.14 tff(2889,plain,
% 13.40/9.14 (always3(s44)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2888, 2877])).
% 13.40/9.14 tff(2890,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2891,plain,
% 13.40/9.14 (((~m_main_v_state(s44, c_busy)) | (~always3(s44))) <=> ((~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2892,plain,
% 13.40/9.14 (((~![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))))),
% 13.40/9.14 inference(monotonicity,[status(thm)],[2891])).
% 13.40/9.14 tff(2893,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(transitivity,[status(thm)],[2892, 2890])).
% 13.40/9.14 tff(2894,plain,
% 13.40/9.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2895,plain,
% 13.40/9.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 13.40/9.14 tff(2896,plain,
% 13.40/9.14 (~m_main_v_state(s44, c_busy)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2895, 85, 2889])).
% 13.40/9.14 tff(2897,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2898,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s43, s44)) | node2(s43, s44))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2899,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s43, s44)) | node2(s43, s44)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 13.40/9.14 tff(2900,plain,
% 13.40/9.14 (node2(s43, s44)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2899, 7, 2884])).
% 13.40/9.14 tff(2901,plain,
% 13.40/9.14 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s43, c_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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2902,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2903,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 13.40/9.14 tff(2904,plain,
% 13.40/9.14 ((~m_main_v_state(s43, c_ready)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2903, 73, 2900])).
% 13.40/9.14 tff(2905,plain,
% 13.40/9.14 (~m_main_v_state(s43, c_ready)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2904, 2896, 2873])).
% 13.40/9.14 tff(2906,plain,
% 13.40/9.14 (~m_main_v_state(s43, c_busy)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2839, 85, 2877])).
% 13.40/9.14 tff(2907,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2908,plain,
% 13.40/9.14 ((~![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))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2909,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2908, 2907])).
% 13.40/9.14 tff(2910,plain,
% 13.40/9.14 ($false),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2909, 102, 2906, 2905])).
% 13.40/9.14 tff(2911,plain,(~node4(s43)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.14 tff(2912,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s43) | node4(s43) | (~until5(s43)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2913,plain,
% 13.40/9.14 ((node4(s43) | (~until5(s43)) | xuntil6(s43)) <=> (xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2914,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s43) | node4(s43) | (~until5(s43))))),
% 13.40/9.14 inference(monotonicity,[status(thm)],[2913])).
% 13.40/9.14 tff(2915,plain,
% 13.40/9.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 13.40/9.14 inference(transitivity,[status(thm)],[2914, 2912])).
% 13.40/9.14 tff(2916,plain,
% 13.40/9.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2917,plain,
% 13.40/9.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2916, 2915])).
% 13.40/9.14 tff(2918,plain,
% 13.40/9.14 (xuntil6(s43) | (~until5(s43))),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2917, 294, 2911])).
% 13.40/9.14 tff(2919,plain,
% 13.40/9.14 (xuntil6(s43)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2918, 2868])).
% 13.40/9.14 tff(2920,plain,
% 13.40/9.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2921,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2922,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 13.40/9.14 tff(2923,plain,
% 13.40/9.14 ((~xuntil6(s43)) | until5(s44)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2922, 2880, 312])).
% 13.40/9.14 tff(2924,plain,
% 13.40/9.14 (until5(s44)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2923, 2919])).
% 13.40/9.14 tff(2925,assumption,(node4(s44)), introduced(assumption)).
% 13.40/9.14 tff(2926,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2927,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s44) | (~node4(s44)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2928,plain,
% 13.40/9.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s44) | (~node4(s44))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2927, 2926])).
% 13.40/9.14 tff(2929,plain,
% 13.40/9.14 (m_main_v_request(s44)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2928, 21, 2925])).
% 13.40/9.14 tff(2930,plain,
% 13.40/9.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2931,plain,
% 13.40/9.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2932,plain,
% 13.40/9.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2931, 2930])).
% 13.40/9.14 tff(2933,plain,
% 13.40/9.14 (always3(s44)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2932, 36, 2925])).
% 13.40/9.14 tff(2934,plain,
% 13.40/9.14 (succ(s44, s45) <=> succ(s44, s45)),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2935,axiom,(succ(s44, s45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound45')).
% 13.40/9.14 tff(2936,plain,
% 13.40/9.14 (succ(s44, s45)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 13.40/9.14 tff(2937,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2938,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2939,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2938, 2937])).
% 13.40/9.14 tff(2940,plain,
% 13.40/9.14 (trans(s44, s45)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2939, 2936, 52])).
% 13.40/9.14 tff(2941,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2942,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2943,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 13.40/9.14 tff(2944,plain,
% 13.40/9.14 ((~always3(s44)) | always3(s45)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2943, 125, 2940])).
% 13.40/9.14 tff(2945,plain,
% 13.40/9.14 (always3(s45)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2944, 2933])).
% 13.40/9.14 tff(2946,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2947,plain,
% 13.40/9.14 (((~m_main_v_state(s45, c_busy)) | (~always3(s45))) <=> ((~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2948,plain,
% 13.40/9.14 (((~![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))))),
% 13.40/9.14 inference(monotonicity,[status(thm)],[2947])).
% 13.40/9.14 tff(2949,plain,
% 13.40/9.14 (((~![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)))),
% 13.40/9.14 inference(transitivity,[status(thm)],[2948, 2946])).
% 13.40/9.14 tff(2950,plain,
% 13.40/9.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2951,plain,
% 13.40/9.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy))),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 13.40/9.14 tff(2952,plain,
% 13.40/9.14 (~m_main_v_state(s45, c_busy)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2951, 85, 2945])).
% 13.40/9.14 tff(2953,plain,
% 13.40/9.14 (((~![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))),
% 13.40/9.14 inference(rewrite,[status(thm)],[])).
% 13.40/9.14 tff(2954,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s44, s45)) | node2(s44, s45))),
% 13.40/9.14 inference(quant_inst,[status(thm)],[])).
% 13.40/9.14 tff(2955,plain,
% 13.40/9.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s44, s45)) | node2(s44, s45)),
% 13.40/9.14 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 13.40/9.14 tff(2956,plain,
% 13.40/9.14 (node2(s44, s45)),
% 13.40/9.14 inference(unit_resolution,[status(thm)],[2955, 7, 2940])).
% 13.40/9.14 tff(2957,plain,
% 13.40/9.14 (((~![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(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)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2958,plain,
% 13.40/9.15 ((~![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(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(2959,plain,
% 13.40/9.15 ((~![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(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2958, 2957])).
% 13.40/9.15 tff(2960,plain,
% 13.40/9.15 ((~m_main_v_state(s44, c_ready)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2959, 73, 2956])).
% 13.40/9.15 tff(2961,plain,
% 13.40/9.15 (~m_main_v_state(s44, c_ready)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2960, 2952, 2929])).
% 13.40/9.15 tff(2962,plain,
% 13.40/9.15 (~m_main_v_state(s44, c_busy)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2895, 85, 2933])).
% 13.40/9.15 tff(2963,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2964,plain,
% 13.40/9.15 ((~![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))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(2965,plain,
% 13.40/9.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 13.40/9.15 tff(2966,plain,
% 13.40/9.15 ($false),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2965, 102, 2962, 2961])).
% 13.40/9.15 tff(2967,plain,(~node4(s44)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.15 tff(2968,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s44) | node4(s44) | (~until5(s44)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2969,plain,
% 13.40/9.15 ((node4(s44) | (~until5(s44)) | xuntil6(s44)) <=> (xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2970,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s44) | node4(s44) | (~until5(s44))))),
% 13.40/9.15 inference(monotonicity,[status(thm)],[2969])).
% 13.40/9.15 tff(2971,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 13.40/9.15 inference(transitivity,[status(thm)],[2970, 2968])).
% 13.40/9.15 tff(2972,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(2973,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 13.40/9.15 tff(2974,plain,
% 13.40/9.15 (xuntil6(s44) | (~until5(s44))),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2973, 294, 2967])).
% 13.40/9.15 tff(2975,plain,
% 13.40/9.15 (xuntil6(s44)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2974, 2924])).
% 13.40/9.15 tff(2976,plain,
% 13.40/9.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2977,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(2978,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2977, 2976])).
% 13.40/9.15 tff(2979,plain,
% 13.40/9.15 ((~xuntil6(s44)) | until5(s45)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2978, 2936, 312])).
% 13.40/9.15 tff(2980,plain,
% 13.40/9.15 (until5(s45)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2979, 2975])).
% 13.40/9.15 tff(2981,assumption,(node4(s45)), introduced(assumption)).
% 13.40/9.15 tff(2982,plain,
% 13.40/9.15 (((~![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)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2983,plain,
% 13.40/9.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s45) | (~node4(s45)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(2984,plain,
% 13.40/9.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s45) | (~node4(s45))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2983, 2982])).
% 13.40/9.15 tff(2985,plain,
% 13.40/9.15 (m_main_v_request(s45)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2984, 21, 2981])).
% 13.40/9.15 tff(2986,plain,
% 13.40/9.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2987,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(2988,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 13.40/9.15 tff(2989,plain,
% 13.40/9.15 (always3(s45)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2988, 36, 2981])).
% 13.40/9.15 tff(2990,plain,
% 13.40/9.15 (succ(s45, s46) <=> succ(s45, s46)),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2991,axiom,(succ(s45, s46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound46')).
% 13.40/9.15 tff(2992,plain,
% 13.40/9.15 (succ(s45, s46)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2991, 2990])).
% 13.40/9.15 tff(2993,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2994,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(2995,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 13.40/9.15 tff(2996,plain,
% 13.40/9.15 (trans(s45, s46)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2995, 2992, 52])).
% 13.40/9.15 tff(2997,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(2998,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(2999,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 13.40/9.15 tff(3000,plain,
% 13.40/9.15 ((~always3(s45)) | always3(s46)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2999, 125, 2996])).
% 13.40/9.15 tff(3001,plain,
% 13.40/9.15 (always3(s46)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3000, 2989])).
% 13.40/9.15 tff(3002,plain,
% 13.40/9.15 (((~![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)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3003,plain,
% 13.40/9.15 (((~m_main_v_state(s46, c_busy)) | (~always3(s46))) <=> ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3004,plain,
% 13.40/9.15 (((~![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))))),
% 13.40/9.15 inference(monotonicity,[status(thm)],[3003])).
% 13.40/9.15 tff(3005,plain,
% 13.40/9.15 (((~![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)))),
% 13.40/9.15 inference(transitivity,[status(thm)],[3004, 3002])).
% 13.40/9.15 tff(3006,plain,
% 13.40/9.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3007,plain,
% 13.40/9.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3006, 3005])).
% 13.40/9.15 tff(3008,plain,
% 13.40/9.15 (~m_main_v_state(s46, c_busy)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3007, 85, 3001])).
% 13.40/9.15 tff(3009,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3010,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s45, s46)) | node2(s45, s46))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3011,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s45, s46)) | node2(s45, s46)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3010, 3009])).
% 13.40/9.15 tff(3012,plain,
% 13.40/9.15 (node2(s45, s46)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3011, 7, 2996])).
% 13.40/9.15 tff(3013,plain,
% 13.40/9.15 (((~![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(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)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3014,plain,
% 13.40/9.15 ((~![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(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3015,plain,
% 13.40/9.15 ((~![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(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 13.40/9.15 tff(3016,plain,
% 13.40/9.15 ((~m_main_v_state(s45, c_ready)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3015, 73, 3012])).
% 13.40/9.15 tff(3017,plain,
% 13.40/9.15 (~m_main_v_state(s45, c_ready)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3016, 3008, 2985])).
% 13.40/9.15 tff(3018,plain,
% 13.40/9.15 (~m_main_v_state(s45, c_busy)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[2951, 85, 2989])).
% 13.40/9.15 tff(3019,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3020,plain,
% 13.40/9.15 ((~![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))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3021,plain,
% 13.40/9.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 13.40/9.15 tff(3022,plain,
% 13.40/9.15 ($false),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3021, 102, 3018, 3017])).
% 13.40/9.15 tff(3023,plain,(~node4(s45)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.15 tff(3024,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s45) | node4(s45) | (~until5(s45)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3025,plain,
% 13.40/9.15 ((node4(s45) | (~until5(s45)) | xuntil6(s45)) <=> (xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3026,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s45) | node4(s45) | (~until5(s45))))),
% 13.40/9.15 inference(monotonicity,[status(thm)],[3025])).
% 13.40/9.15 tff(3027,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 13.40/9.15 inference(transitivity,[status(thm)],[3026, 3024])).
% 13.40/9.15 tff(3028,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3029,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 13.40/9.15 tff(3030,plain,
% 13.40/9.15 (xuntil6(s45) | (~until5(s45))),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3029, 294, 3023])).
% 13.40/9.15 tff(3031,plain,
% 13.40/9.15 (xuntil6(s45)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3030, 2980])).
% 13.40/9.15 tff(3032,plain,
% 13.40/9.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3033,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3034,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 13.40/9.15 tff(3035,plain,
% 13.40/9.15 ((~xuntil6(s45)) | until5(s46)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3034, 2992, 312])).
% 13.40/9.15 tff(3036,plain,
% 13.40/9.15 (until5(s46)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3035, 3031])).
% 13.40/9.15 tff(3037,assumption,(~always3(s51)), introduced(assumption)).
% 13.40/9.15 tff(3038,plain,
% 13.40/9.15 (succ(s50, s51) <=> succ(s50, s51)),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3039,axiom,(succ(s50, s51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound51')).
% 13.40/9.15 tff(3040,plain,
% 13.40/9.15 (succ(s50, s51)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 13.40/9.15 tff(3041,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3042,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3043,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 13.40/9.15 tff(3044,plain,
% 13.40/9.15 (trans(s50, s51)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3043, 3040, 52])).
% 13.40/9.15 tff(3045,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3046,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s50, s51)) | (~always3(s50)) | always3(s51))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3047,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s50, s51)) | (~always3(s50)) | always3(s51)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 13.40/9.15 tff(3048,plain,
% 13.40/9.15 ((~always3(s50)) | always3(s51)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3047, 125, 3044])).
% 13.40/9.15 tff(3049,plain,
% 13.40/9.15 (~always3(s50)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3048, 3037])).
% 13.40/9.15 tff(3050,plain,
% 13.40/9.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3051,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3052,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 13.40/9.15 tff(3053,plain,
% 13.40/9.15 (~node4(s50)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3052, 36, 3049])).
% 13.40/9.15 tff(3054,plain,
% 13.40/9.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3055,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3056,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3055, 3054])).
% 13.40/9.15 tff(3057,plain,
% 13.40/9.15 (~node4(s51)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3056, 36, 3037])).
% 13.40/9.15 tff(3058,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s51) | node4(s51) | (~until5(s51)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3059,plain,
% 13.40/9.15 ((node4(s51) | (~until5(s51)) | xuntil6(s51)) <=> (xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3060,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s51) | node4(s51) | (~until5(s51))))),
% 13.40/9.15 inference(monotonicity,[status(thm)],[3059])).
% 13.40/9.15 tff(3061,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 13.40/9.15 inference(transitivity,[status(thm)],[3060, 3058])).
% 13.40/9.15 tff(3062,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3063,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 13.40/9.15 tff(3064,plain,
% 13.40/9.15 (node4(s51) | (~until5(s51))),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3063, 294, 2811])).
% 13.40/9.15 tff(3065,plain,
% 13.40/9.15 (~until5(s51)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3064, 3057])).
% 13.40/9.15 tff(3066,plain,
% 13.40/9.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3067,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3068,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3067, 3066])).
% 13.40/9.15 tff(3069,plain,
% 13.40/9.15 ((~xuntil6(s50)) | until5(s51)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3068, 3040, 312])).
% 13.40/9.15 tff(3070,plain,
% 13.40/9.15 (~xuntil6(s50)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3069, 3065])).
% 13.40/9.15 tff(3071,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s50) | node4(s50) | (~until5(s50)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3072,plain,
% 13.40/9.15 ((node4(s50) | (~until5(s50)) | xuntil6(s50)) <=> (xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3073,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s50) | node4(s50) | (~until5(s50))))),
% 13.40/9.15 inference(monotonicity,[status(thm)],[3072])).
% 13.40/9.15 tff(3074,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 13.40/9.15 inference(transitivity,[status(thm)],[3073, 3071])).
% 13.40/9.15 tff(3075,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3076,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3075, 3074])).
% 13.40/9.15 tff(3077,plain,
% 13.40/9.15 (~until5(s50)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3076, 294, 3070, 3053])).
% 13.40/9.15 tff(3078,plain,
% 13.40/9.15 (succ(s49, s50) <=> succ(s49, s50)),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3079,axiom,(succ(s49, s50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound50')).
% 13.40/9.15 tff(3080,plain,
% 13.40/9.15 (succ(s49, s50)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3079, 3078])).
% 13.40/9.15 tff(3081,plain,
% 13.40/9.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3082,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3083,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 13.40/9.15 tff(3084,plain,
% 13.40/9.15 ((~xuntil6(s49)) | until5(s50)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3083, 3080, 312])).
% 13.40/9.15 tff(3085,plain,
% 13.40/9.15 (~xuntil6(s49)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3084, 3077])).
% 13.40/9.15 tff(3086,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3087,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3088,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3087, 3086])).
% 13.40/9.15 tff(3089,plain,
% 13.40/9.15 (trans(s49, s50)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3088, 3080, 52])).
% 13.40/9.15 tff(3090,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3091,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s50)) | (~always3(s49)) | always3(s50))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3092,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s49, s50)) | (~always3(s49)) | always3(s50)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 13.40/9.15 tff(3093,plain,
% 13.40/9.15 ((~always3(s49)) | always3(s50)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3092, 125, 3089])).
% 13.40/9.15 tff(3094,plain,
% 13.40/9.15 (~always3(s49)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3093, 3049])).
% 13.40/9.15 tff(3095,plain,
% 13.40/9.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3096,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3097,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 13.40/9.15 tff(3098,plain,
% 13.40/9.15 (~node4(s49)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3097, 36, 3094])).
% 13.40/9.15 tff(3099,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s49) | node4(s49) | (~until5(s49)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3100,plain,
% 13.40/9.15 ((node4(s49) | (~until5(s49)) | xuntil6(s49)) <=> (xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3101,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s49) | node4(s49) | (~until5(s49))))),
% 13.40/9.15 inference(monotonicity,[status(thm)],[3100])).
% 13.40/9.15 tff(3102,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 13.40/9.15 inference(transitivity,[status(thm)],[3101, 3099])).
% 13.40/9.15 tff(3103,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3104,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 13.40/9.15 tff(3105,plain,
% 13.40/9.15 (xuntil6(s49) | (~until5(s49))),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3104, 294, 3098])).
% 13.40/9.15 tff(3106,plain,
% 13.40/9.15 (~until5(s49)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3105, 3085])).
% 13.40/9.15 tff(3107,plain,
% 13.40/9.15 (succ(s48, s49) <=> succ(s48, s49)),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3108,axiom,(succ(s48, s49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound49')).
% 13.40/9.15 tff(3109,plain,
% 13.40/9.15 (succ(s48, s49)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 13.40/9.15 tff(3110,plain,
% 13.40/9.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3111,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3112,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 13.40/9.15 tff(3113,plain,
% 13.40/9.15 ((~xuntil6(s48)) | until5(s49)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3112, 3109, 312])).
% 13.40/9.15 tff(3114,plain,
% 13.40/9.15 (~xuntil6(s48)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3113, 3106])).
% 13.40/9.15 tff(3115,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3116,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3117,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3116, 3115])).
% 13.40/9.15 tff(3118,plain,
% 13.40/9.15 (trans(s48, s49)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3117, 3109, 52])).
% 13.40/9.15 tff(3119,plain,
% 13.40/9.15 (((~![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))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3120,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3121,plain,
% 13.40/9.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s48, s49)) | (~always3(s48)) | always3(s49)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 13.40/9.15 tff(3122,plain,
% 13.40/9.15 ((~always3(s48)) | always3(s49)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3121, 125, 3118])).
% 13.40/9.15 tff(3123,plain,
% 13.40/9.15 (~always3(s48)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3122, 3094])).
% 13.40/9.15 tff(3124,plain,
% 13.40/9.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3125,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3126,plain,
% 13.40/9.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3125, 3124])).
% 13.40/9.15 tff(3127,plain,
% 13.40/9.15 (~node4(s48)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3126, 36, 3123])).
% 13.40/9.15 tff(3128,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s48) | node4(s48) | (~until5(s48)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3129,plain,
% 13.40/9.15 ((node4(s48) | (~until5(s48)) | xuntil6(s48)) <=> (xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3130,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s48) | node4(s48) | (~until5(s48))))),
% 13.40/9.15 inference(monotonicity,[status(thm)],[3129])).
% 13.40/9.15 tff(3131,plain,
% 13.40/9.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 13.40/9.15 inference(transitivity,[status(thm)],[3130, 3128])).
% 13.40/9.15 tff(3132,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))),
% 13.40/9.15 inference(quant_inst,[status(thm)],[])).
% 13.40/9.15 tff(3133,plain,
% 13.40/9.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48))),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3132, 3131])).
% 13.40/9.15 tff(3134,plain,
% 13.40/9.15 (xuntil6(s48) | (~until5(s48))),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3133, 294, 3127])).
% 13.40/9.15 tff(3135,plain,
% 13.40/9.15 (~until5(s48)),
% 13.40/9.15 inference(unit_resolution,[status(thm)],[3134, 3114])).
% 13.40/9.15 tff(3136,plain,
% 13.40/9.15 (succ(s47, s48) <=> succ(s47, s48)),
% 13.40/9.15 inference(rewrite,[status(thm)],[])).
% 13.40/9.15 tff(3137,axiom,(succ(s47, s48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound48')).
% 13.40/9.15 tff(3138,plain,
% 13.40/9.15 (succ(s47, s48)),
% 13.40/9.15 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 13.40/9.15 tff(3139,plain,
% 13.40/9.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3140,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3141,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3140, 3139])).
% 13.40/9.16 tff(3142,plain,
% 13.40/9.16 ((~xuntil6(s47)) | until5(s48)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3141, 3138, 312])).
% 13.40/9.16 tff(3143,plain,
% 13.40/9.16 (~xuntil6(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3142, 3135])).
% 13.40/9.16 tff(3144,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3145,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3146,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3145, 3144])).
% 13.40/9.16 tff(3147,plain,
% 13.40/9.16 (trans(s47, s48)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3146, 3138, 52])).
% 13.40/9.16 tff(3148,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3149,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3150,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 13.40/9.16 tff(3151,plain,
% 13.40/9.16 ((~always3(s47)) | always3(s48)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3150, 125, 3147])).
% 13.40/9.16 tff(3152,plain,
% 13.40/9.16 (~always3(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3151, 3123])).
% 13.40/9.16 tff(3153,plain,
% 13.40/9.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3154,plain,
% 13.40/9.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3155,plain,
% 13.40/9.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 13.40/9.16 tff(3156,plain,
% 13.40/9.16 (~node4(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3155, 36, 3152])).
% 13.40/9.16 tff(3157,plain,
% 13.40/9.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s47) | node4(s47) | (~until5(s47)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3158,plain,
% 13.40/9.16 ((node4(s47) | (~until5(s47)) | xuntil6(s47)) <=> (xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3159,plain,
% 13.40/9.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s47) | node4(s47) | (~until5(s47))))),
% 13.40/9.16 inference(monotonicity,[status(thm)],[3158])).
% 13.40/9.16 tff(3160,plain,
% 13.40/9.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 13.40/9.16 inference(transitivity,[status(thm)],[3159, 3157])).
% 13.40/9.16 tff(3161,plain,
% 13.40/9.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3162,plain,
% 13.40/9.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 13.40/9.16 tff(3163,plain,
% 13.40/9.16 (xuntil6(s47) | (~until5(s47))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3162, 294, 3156])).
% 13.40/9.16 tff(3164,plain,
% 13.40/9.16 (~until5(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3163, 3143])).
% 13.40/9.16 tff(3165,plain,
% 13.40/9.16 (succ(s46, s47) <=> succ(s46, s47)),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3166,axiom,(succ(s46, s47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound47')).
% 13.40/9.16 tff(3167,plain,
% 13.40/9.16 (succ(s46, s47)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3166, 3165])).
% 13.40/9.16 tff(3168,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3169,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3170,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3169, 3168])).
% 13.40/9.16 tff(3171,plain,
% 13.40/9.16 (trans(s46, s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3170, 3167, 52])).
% 13.40/9.16 tff(3172,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3173,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3174,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 13.40/9.16 tff(3175,plain,
% 13.40/9.16 ((~always3(s46)) | always3(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3174, 125, 3171])).
% 13.40/9.16 tff(3176,plain,
% 13.40/9.16 (~always3(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3175, 3152])).
% 13.40/9.16 tff(3177,plain,
% 13.40/9.16 (~always3(s45)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3000, 3176])).
% 13.40/9.16 tff(3178,plain,
% 13.40/9.16 (~always3(s44)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2944, 3177])).
% 13.40/9.16 tff(3179,plain,
% 13.40/9.16 (~always3(s43)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2888, 3178])).
% 13.40/9.16 tff(3180,plain,
% 13.40/9.16 (~node4(s43)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2876, 36, 3179])).
% 13.40/9.16 tff(3181,plain,
% 13.40/9.16 (~always3(s42)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2832, 3179])).
% 13.40/9.16 tff(3182,plain,
% 13.40/9.16 (~node4(s42)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2820, 36, 3181])).
% 13.40/9.16 tff(3183,plain,
% 13.40/9.16 (xuntil6(s42) | node4(s42)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2861, 294, 2810])).
% 13.40/9.16 tff(3184,plain,
% 13.40/9.16 (xuntil6(s42)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3183, 3182])).
% 13.40/9.16 tff(3185,plain,
% 13.40/9.16 (until5(s43)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2867, 3184])).
% 13.40/9.16 tff(3186,plain,
% 13.40/9.16 (xuntil6(s43)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2917, 294, 3185, 3180])).
% 13.40/9.16 tff(3187,plain,
% 13.40/9.16 (until5(s44)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2923, 3186])).
% 13.40/9.16 tff(3188,plain,
% 13.40/9.16 (~node4(s44)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2932, 36, 3178])).
% 13.40/9.16 tff(3189,plain,
% 13.40/9.16 (xuntil6(s44) | (~until5(s44))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2973, 294, 3188])).
% 13.40/9.16 tff(3190,plain,
% 13.40/9.16 (xuntil6(s44)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3189, 3187])).
% 13.40/9.16 tff(3191,plain,
% 13.40/9.16 (until5(s45)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2979, 3190])).
% 13.40/9.16 tff(3192,plain,
% 13.40/9.16 (~node4(s45)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[2988, 36, 3177])).
% 13.40/9.16 tff(3193,plain,
% 13.40/9.16 (xuntil6(s45) | (~until5(s45))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3029, 294, 3192])).
% 13.40/9.16 tff(3194,plain,
% 13.40/9.16 (xuntil6(s45)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3193, 3191])).
% 13.40/9.16 tff(3195,plain,
% 13.40/9.16 (until5(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3035, 3194])).
% 13.40/9.16 tff(3196,plain,
% 13.40/9.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3197,plain,
% 13.40/9.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3198,plain,
% 13.40/9.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 13.40/9.16 tff(3199,plain,
% 13.40/9.16 (~node4(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3198, 36, 3176])).
% 13.40/9.16 tff(3200,plain,
% 13.40/9.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s46) | node4(s46) | (~until5(s46)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3201,plain,
% 13.40/9.16 ((node4(s46) | (~until5(s46)) | xuntil6(s46)) <=> (xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3202,plain,
% 13.40/9.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s46) | node4(s46) | (~until5(s46))))),
% 13.40/9.16 inference(monotonicity,[status(thm)],[3201])).
% 13.40/9.16 tff(3203,plain,
% 13.40/9.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 13.40/9.16 inference(transitivity,[status(thm)],[3202, 3200])).
% 13.40/9.16 tff(3204,plain,
% 13.40/9.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3205,plain,
% 13.40/9.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 13.40/9.16 tff(3206,plain,
% 13.40/9.16 (xuntil6(s46) | (~until5(s46))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3205, 294, 3199])).
% 13.40/9.16 tff(3207,plain,
% 13.40/9.16 (xuntil6(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3206, 3195])).
% 13.40/9.16 tff(3208,plain,
% 13.40/9.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3209,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3210,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 13.40/9.16 tff(3211,plain,
% 13.40/9.16 ((~xuntil6(s46)) | until5(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3210, 3167, 312])).
% 13.40/9.16 tff(3212,plain,
% 13.40/9.16 ($false),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3211, 3207, 3164])).
% 13.40/9.16 tff(3213,plain,(always3(s51) | (~until5(s42)) | xuntil6(s51)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.16 tff(3214,plain,
% 13.40/9.16 (always3(s51)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3213, 2811, 2810])).
% 13.40/9.16 tff(3215,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3216,plain,
% 13.40/9.16 (((~m_main_v_state(s51, c_busy)) | (~always3(s51))) <=> ((~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3217,plain,
% 13.40/9.16 (((~![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))))),
% 13.40/9.16 inference(monotonicity,[status(thm)],[3216])).
% 13.40/9.16 tff(3218,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(transitivity,[status(thm)],[3217, 3215])).
% 13.40/9.16 tff(3219,plain,
% 13.40/9.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3220,plain,
% 13.40/9.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 13.40/9.16 tff(3221,plain,
% 13.40/9.16 (~m_main_v_state(s51, c_busy)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3220, 85, 3214])).
% 13.40/9.16 tff(3222,plain,
% 13.40/9.16 (succ(s51, s52) <=> succ(s51, s52)),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3223,axiom,(succ(s51, s52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound52')).
% 13.40/9.16 tff(3224,plain,
% 13.40/9.16 (succ(s51, s52)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 13.40/9.16 tff(3225,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3226,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3227,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 13.40/9.16 tff(3228,plain,
% 13.40/9.16 (trans(s51, s52)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3227, 3224, 52])).
% 13.40/9.16 tff(3229,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3230,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s51, s52)) | (~always3(s51)) | always3(s52))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3231,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s51, s52)) | (~always3(s51)) | always3(s52)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3230, 3229])).
% 13.40/9.16 tff(3232,plain,
% 13.40/9.16 ((~always3(s51)) | always3(s52)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3231, 125, 3228])).
% 13.40/9.16 tff(3233,plain,
% 13.40/9.16 (always3(s52)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3232, 3214])).
% 13.40/9.16 tff(3234,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3235,plain,
% 13.40/9.16 (((~m_main_v_state(s52, c_busy)) | (~always3(s52))) <=> ((~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3236,plain,
% 13.40/9.16 (((~![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))))),
% 13.40/9.16 inference(monotonicity,[status(thm)],[3235])).
% 13.40/9.16 tff(3237,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(transitivity,[status(thm)],[3236, 3234])).
% 13.40/9.16 tff(3238,plain,
% 13.40/9.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3239,plain,
% 13.40/9.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3238, 3237])).
% 13.40/9.16 tff(3240,plain,
% 13.40/9.16 (~m_main_v_state(s52, c_busy)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3239, 85, 3233])).
% 13.40/9.16 tff(3241,assumption,(until5(s51)), introduced(assumption)).
% 13.40/9.16 tff(3242,plain,
% 13.40/9.16 (xuntil6(s51) | node4(s51)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3063, 294, 3241])).
% 13.40/9.16 tff(3243,plain,
% 13.40/9.16 (node4(s51)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3242, 2811])).
% 13.40/9.16 tff(3244,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3245,plain,
% 13.40/9.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s51) | (~node4(s51)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3246,plain,
% 13.40/9.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s51) | (~node4(s51))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3245, 3244])).
% 13.40/9.16 tff(3247,plain,
% 13.40/9.16 (m_main_v_request(s51)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3246, 21, 3243])).
% 13.40/9.16 tff(3248,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3249,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s51, s52)) | node2(s51, s52))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3250,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s51, s52)) | node2(s51, s52)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3249, 3248])).
% 13.40/9.16 tff(3251,plain,
% 13.40/9.16 (node2(s51, s52)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3250, 7, 3228])).
% 13.40/9.16 tff(3252,plain,
% 13.40/9.16 (((~![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(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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3253,plain,
% 13.40/9.16 ((~![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(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3254,plain,
% 13.40/9.16 ((~![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(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3253, 3252])).
% 13.40/9.16 tff(3255,plain,
% 13.40/9.16 ((~m_main_v_state(s51, c_ready)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3254, 73, 3251])).
% 13.40/9.16 tff(3256,plain,
% 13.40/9.16 (~m_main_v_state(s51, c_ready)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3255, 3247, 3240])).
% 13.40/9.16 tff(3257,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3258,plain,
% 13.40/9.16 ((~![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))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3259,plain,
% 13.40/9.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 13.40/9.16 tff(3260,plain,
% 13.40/9.16 ($false),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3259, 102, 3221, 3256])).
% 13.40/9.16 tff(3261,plain,(xuntil6(s51) | (~until5(s51)) | (~until5(s42))), inference(lemma,lemma(discharge,[]))).
% 13.40/9.16 tff(3262,plain,
% 13.40/9.16 (~until5(s51)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3261, 2811, 2810])).
% 13.40/9.16 tff(3263,plain,
% 13.40/9.16 (~xuntil6(s50)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3069, 3262])).
% 13.40/9.16 tff(3264,assumption,(until5(s50)), introduced(assumption)).
% 13.40/9.16 tff(3265,plain,
% 13.40/9.16 (xuntil6(s50) | node4(s50)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3076, 294, 3264])).
% 13.40/9.16 tff(3266,plain,
% 13.40/9.16 (node4(s50)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3265, 3263])).
% 13.40/9.16 tff(3267,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3268,plain,
% 13.40/9.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s50) | (~node4(s50)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3269,plain,
% 13.40/9.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s50) | (~node4(s50))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 13.40/9.16 tff(3270,plain,
% 13.40/9.16 (m_main_v_request(s50)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3269, 21, 3266])).
% 13.40/9.16 tff(3271,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3272,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s50, s51)) | node2(s50, s51))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3273,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s50, s51)) | node2(s50, s51)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3272, 3271])).
% 13.40/9.16 tff(3274,plain,
% 13.40/9.16 (node2(s50, s51)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3273, 7, 3044])).
% 13.40/9.16 tff(3275,plain,
% 13.40/9.16 (((~![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(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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3276,plain,
% 13.40/9.16 ((~![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(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3277,plain,
% 13.40/9.16 ((~![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(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3276, 3275])).
% 13.40/9.16 tff(3278,plain,
% 13.40/9.16 ((~m_main_v_state(s50, c_ready)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3277, 73, 3274])).
% 13.40/9.16 tff(3279,plain,
% 13.40/9.16 (~m_main_v_state(s50, c_ready)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3278, 3270, 3221])).
% 13.40/9.16 tff(3280,assumption,(~m_main_v_state(s50, c_ready)), introduced(assumption)).
% 13.40/9.16 tff(3281,assumption,(~m_main_v_state(s50, c_busy)), introduced(assumption)).
% 13.40/9.16 tff(3282,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3283,plain,
% 13.40/9.16 ((~![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))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3284,plain,
% 13.40/9.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 13.40/9.16 tff(3285,plain,
% 13.40/9.16 ($false),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3284, 102, 3281, 3280])).
% 13.40/9.16 tff(3286,plain,(m_main_v_state(s50, c_ready) | m_main_v_state(s50, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.16 tff(3287,plain,
% 13.40/9.16 (m_main_v_state(s50, c_busy)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3286, 3279])).
% 13.40/9.16 tff(3288,assumption,(until5(s46)), introduced(assumption)).
% 13.40/9.16 tff(3289,assumption,(~always3(s50)), introduced(assumption)).
% 13.40/9.16 tff(3290,plain,
% 13.40/9.16 (~always3(s49)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3093, 3289])).
% 13.40/9.16 tff(3291,plain,
% 13.40/9.16 (~always3(s48)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3122, 3290])).
% 13.40/9.16 tff(3292,plain,
% 13.40/9.16 (~always3(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3151, 3291])).
% 13.40/9.16 tff(3293,plain,
% 13.40/9.16 (~node4(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3155, 36, 3292])).
% 13.40/9.16 tff(3294,plain,
% 13.40/9.16 (~always3(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3175, 3292])).
% 13.40/9.16 tff(3295,plain,
% 13.40/9.16 (~node4(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3198, 36, 3294])).
% 13.40/9.16 tff(3296,plain,
% 13.40/9.16 (xuntil6(s46) | node4(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3205, 294, 3288])).
% 13.40/9.16 tff(3297,plain,
% 13.40/9.16 (xuntil6(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3296, 3295])).
% 13.40/9.16 tff(3298,plain,
% 13.40/9.16 (until5(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3211, 3297])).
% 13.40/9.16 tff(3299,plain,
% 13.40/9.16 (xuntil6(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3162, 294, 3298, 3293])).
% 13.40/9.16 tff(3300,plain,
% 13.40/9.16 (until5(s48)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3142, 3299])).
% 13.40/9.16 tff(3301,plain,
% 13.40/9.16 (~node4(s48)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3126, 36, 3291])).
% 13.40/9.16 tff(3302,plain,
% 13.40/9.16 (xuntil6(s48) | (~until5(s48))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3133, 294, 3301])).
% 13.40/9.16 tff(3303,plain,
% 13.40/9.16 (xuntil6(s48)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3302, 3300])).
% 13.40/9.16 tff(3304,plain,
% 13.40/9.16 (until5(s49)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3113, 3303])).
% 13.40/9.16 tff(3305,plain,
% 13.40/9.16 (~node4(s49)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3097, 36, 3290])).
% 13.40/9.16 tff(3306,plain,
% 13.40/9.16 (xuntil6(s49) | (~until5(s49))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3104, 294, 3305])).
% 13.40/9.16 tff(3307,plain,
% 13.40/9.16 (xuntil6(s49)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3306, 3304])).
% 13.40/9.16 tff(3308,plain,
% 13.40/9.16 (until5(s50)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3084, 3307])).
% 13.40/9.16 tff(3309,assumption,(~xuntil6(s50)), introduced(assumption)).
% 13.40/9.16 tff(3310,plain,
% 13.40/9.16 (node4(s50) | (~until5(s50))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3076, 294, 3309])).
% 13.40/9.16 tff(3311,plain,
% 13.40/9.16 (node4(s50)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3310, 3308])).
% 13.40/9.16 tff(3312,plain,
% 13.40/9.16 ($false),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3052, 36, 3289, 3311])).
% 13.40/9.16 tff(3313,plain,(always3(s50) | xuntil6(s50) | (~until5(s46))), inference(lemma,lemma(discharge,[]))).
% 13.40/9.16 tff(3314,plain,
% 13.40/9.16 (always3(s50)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3313, 3263, 3288])).
% 13.40/9.16 tff(3315,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3316,plain,
% 13.40/9.16 (((~m_main_v_state(s50, c_busy)) | (~always3(s50))) <=> ((~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3317,plain,
% 13.40/9.16 (((~![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))))),
% 13.40/9.16 inference(monotonicity,[status(thm)],[3316])).
% 13.40/9.16 tff(3318,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(transitivity,[status(thm)],[3317, 3315])).
% 13.40/9.16 tff(3319,plain,
% 13.40/9.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3320,plain,
% 13.40/9.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3319, 3318])).
% 13.40/9.16 tff(3321,plain,
% 13.40/9.16 ($false),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3320, 85, 3314, 3287])).
% 13.40/9.16 tff(3322,plain,(xuntil6(s51) | (~until5(s50)) | (~until5(s46)) | (~until5(s42))), inference(lemma,lemma(discharge,[]))).
% 13.40/9.16 tff(3323,plain,
% 13.40/9.16 (~until5(s50)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3322, 3036, 2811, 2810])).
% 13.40/9.16 tff(3324,plain,
% 13.40/9.16 (~xuntil6(s49)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3084, 3323])).
% 13.40/9.16 tff(3325,assumption,(node4(s46)), introduced(assumption)).
% 13.40/9.16 tff(3326,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3327,plain,
% 13.40/9.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3328,plain,
% 13.40/9.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 13.40/9.16 tff(3329,plain,
% 13.40/9.16 (m_main_v_request(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3328, 21, 3325])).
% 13.40/9.16 tff(3330,plain,
% 13.40/9.16 (always3(s46)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3198, 36, 3325])).
% 13.40/9.16 tff(3331,plain,
% 13.40/9.16 (always3(s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3175, 3330])).
% 13.40/9.16 tff(3332,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3333,plain,
% 13.40/9.16 (((~m_main_v_state(s47, c_busy)) | (~always3(s47))) <=> ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3334,plain,
% 13.40/9.16 (((~![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))))),
% 13.40/9.16 inference(monotonicity,[status(thm)],[3333])).
% 13.40/9.16 tff(3335,plain,
% 13.40/9.16 (((~![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)))),
% 13.40/9.16 inference(transitivity,[status(thm)],[3334, 3332])).
% 13.40/9.16 tff(3336,plain,
% 13.40/9.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3337,plain,
% 13.40/9.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 13.40/9.16 tff(3338,plain,
% 13.40/9.16 (~m_main_v_state(s47, c_busy)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3337, 85, 3331])).
% 13.40/9.16 tff(3339,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3340,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3341,plain,
% 13.40/9.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47)),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 13.40/9.16 tff(3342,plain,
% 13.40/9.16 (node2(s46, s47)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3341, 7, 3171])).
% 13.40/9.16 tff(3343,plain,
% 13.40/9.16 (((~![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(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)))),
% 13.40/9.16 inference(rewrite,[status(thm)],[])).
% 13.40/9.16 tff(3344,plain,
% 13.40/9.16 ((~![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(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))),
% 13.40/9.16 inference(quant_inst,[status(thm)],[])).
% 13.40/9.16 tff(3345,plain,
% 13.40/9.16 ((~![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(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 13.40/9.16 inference(modus_ponens,[status(thm)],[3344, 3343])).
% 13.40/9.16 tff(3346,plain,
% 13.40/9.16 ((~m_main_v_state(s46, c_ready)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3345, 73, 3342])).
% 13.40/9.16 tff(3347,plain,
% 13.40/9.16 (~m_main_v_state(s46, c_ready)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3346, 3338, 3329])).
% 13.40/9.16 tff(3348,plain,
% 13.40/9.16 (~m_main_v_state(s46, c_busy)),
% 13.40/9.16 inference(unit_resolution,[status(thm)],[3007, 85, 3330])).
% 13.40/9.16 tff(3349,plain,
% 13.40/9.16 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3350,plain,
% 13.40/9.17 ((~![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))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3351,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 13.40/9.17 tff(3352,plain,
% 13.40/9.17 ($false),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3351, 102, 3348, 3347])).
% 13.40/9.17 tff(3353,plain,(~node4(s46)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.17 tff(3354,plain,
% 13.40/9.17 (xuntil6(s46) | (~until5(s46))),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3205, 294, 3353])).
% 13.40/9.17 tff(3355,plain,
% 13.40/9.17 (xuntil6(s46)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3354, 3036])).
% 13.40/9.17 tff(3356,plain,
% 13.40/9.17 (until5(s47)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3211, 3355])).
% 13.40/9.17 tff(3357,assumption,(node4(s47)), introduced(assumption)).
% 13.40/9.17 tff(3358,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3359,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s47) | (~node4(s47)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3360,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s47) | (~node4(s47))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3359, 3358])).
% 13.40/9.17 tff(3361,plain,
% 13.40/9.17 (m_main_v_request(s47)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3360, 21, 3357])).
% 13.40/9.17 tff(3362,plain,
% 13.40/9.17 (always3(s47)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3155, 36, 3357])).
% 13.40/9.17 tff(3363,plain,
% 13.40/9.17 (always3(s48)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3151, 3362])).
% 13.40/9.17 tff(3364,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3365,plain,
% 13.40/9.17 (((~m_main_v_state(s48, c_busy)) | (~always3(s48))) <=> ((~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3366,plain,
% 13.40/9.17 (((~![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))))),
% 13.40/9.17 inference(monotonicity,[status(thm)],[3365])).
% 13.40/9.17 tff(3367,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(transitivity,[status(thm)],[3366, 3364])).
% 13.40/9.17 tff(3368,plain,
% 13.40/9.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3369,plain,
% 13.40/9.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 13.40/9.17 tff(3370,plain,
% 13.40/9.17 (~m_main_v_state(s48, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3369, 85, 3363])).
% 13.40/9.17 tff(3371,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3372,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s47, s48)) | node2(s47, s48))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3373,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s47, s48)) | node2(s47, s48)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 13.40/9.17 tff(3374,plain,
% 13.40/9.17 (node2(s47, s48)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3373, 7, 3147])).
% 13.40/9.17 tff(3375,plain,
% 13.40/9.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3376,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3377,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 13.40/9.17 tff(3378,plain,
% 13.40/9.17 ((~m_main_v_state(s47, c_ready)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3377, 73, 3374])).
% 13.40/9.17 tff(3379,plain,
% 13.40/9.17 (~m_main_v_state(s47, c_ready)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3378, 3370, 3361])).
% 13.40/9.17 tff(3380,plain,
% 13.40/9.17 (~m_main_v_state(s47, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3337, 85, 3362])).
% 13.40/9.17 tff(3381,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3382,plain,
% 13.40/9.17 ((~![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))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3383,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3382, 3381])).
% 13.40/9.17 tff(3384,plain,
% 13.40/9.17 ($false),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3383, 102, 3380, 3379])).
% 13.40/9.17 tff(3385,plain,(~node4(s47)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.17 tff(3386,plain,
% 13.40/9.17 (xuntil6(s47) | (~until5(s47))),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3162, 294, 3385])).
% 13.40/9.17 tff(3387,plain,
% 13.40/9.17 (xuntil6(s47)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3386, 3356])).
% 13.40/9.17 tff(3388,plain,
% 13.40/9.17 (until5(s48)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3142, 3387])).
% 13.40/9.17 tff(3389,assumption,(node4(s48)), introduced(assumption)).
% 13.40/9.17 tff(3390,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3391,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s48) | (~node4(s48)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3392,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s48) | (~node4(s48))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3391, 3390])).
% 13.40/9.17 tff(3393,plain,
% 13.40/9.17 (m_main_v_request(s48)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3392, 21, 3389])).
% 13.40/9.17 tff(3394,plain,
% 13.40/9.17 (always3(s48)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3126, 36, 3389])).
% 13.40/9.17 tff(3395,plain,
% 13.40/9.17 (always3(s49)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3122, 3394])).
% 13.40/9.17 tff(3396,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3397,plain,
% 13.40/9.17 (((~m_main_v_state(s49, c_busy)) | (~always3(s49))) <=> ((~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3398,plain,
% 13.40/9.17 (((~![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))))),
% 13.40/9.17 inference(monotonicity,[status(thm)],[3397])).
% 13.40/9.17 tff(3399,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(transitivity,[status(thm)],[3398, 3396])).
% 13.40/9.17 tff(3400,plain,
% 13.40/9.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3401,plain,
% 13.40/9.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3400, 3399])).
% 13.40/9.17 tff(3402,plain,
% 13.40/9.17 (~m_main_v_state(s49, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3401, 85, 3395])).
% 13.40/9.17 tff(3403,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3404,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s48, s49)) | node2(s48, s49))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3405,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s48, s49)) | node2(s48, s49)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 13.40/9.17 tff(3406,plain,
% 13.40/9.17 (node2(s48, s49)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3405, 7, 3118])).
% 13.40/9.17 tff(3407,plain,
% 13.40/9.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3408,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3409,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3408, 3407])).
% 13.40/9.17 tff(3410,plain,
% 13.40/9.17 ((~m_main_v_state(s48, c_ready)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3409, 73, 3406])).
% 13.40/9.17 tff(3411,plain,
% 13.40/9.17 (~m_main_v_state(s48, c_ready)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3410, 3402, 3393])).
% 13.40/9.17 tff(3412,plain,
% 13.40/9.17 (~m_main_v_state(s48, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3369, 85, 3394])).
% 13.40/9.17 tff(3413,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3414,plain,
% 13.40/9.17 ((~![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))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3415,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3414, 3413])).
% 13.40/9.17 tff(3416,plain,
% 13.40/9.17 ($false),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3415, 102, 3412, 3411])).
% 13.40/9.17 tff(3417,plain,(~node4(s48)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.17 tff(3418,plain,
% 13.40/9.17 (xuntil6(s48) | (~until5(s48))),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3133, 294, 3417])).
% 13.40/9.17 tff(3419,plain,
% 13.40/9.17 (xuntil6(s48)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3418, 3388])).
% 13.40/9.17 tff(3420,plain,
% 13.40/9.17 (until5(s49)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3113, 3419])).
% 13.40/9.17 tff(3421,plain,
% 13.40/9.17 ($false),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3104, 294, 3420, 3324, 2812])).
% 13.40/9.17 tff(3422,plain,((~until5(s42)) | node4(s49) | xuntil6(s51)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.17 tff(3423,plain,
% 13.40/9.17 (node4(s49)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3422, 2811, 2810])).
% 13.40/9.17 tff(3424,assumption,(node4(s49)), introduced(assumption)).
% 13.40/9.17 tff(3425,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3426,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s49) | (~node4(s49)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3427,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s49) | (~node4(s49))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 13.40/9.17 tff(3428,plain,
% 13.40/9.17 (m_main_v_request(s49)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3427, 21, 3424])).
% 13.40/9.17 tff(3429,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3430,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s50)) | node2(s49, s50))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3431,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s50)) | node2(s49, s50)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3430, 3429])).
% 13.40/9.17 tff(3432,plain,
% 13.40/9.17 (node2(s49, s50)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3431, 7, 3089])).
% 13.40/9.17 tff(3433,plain,
% 13.40/9.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, 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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3434,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3435,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 13.40/9.17 tff(3436,plain,
% 13.40/9.17 ((~m_main_v_state(s49, c_ready)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3435, 73, 3432])).
% 13.40/9.17 tff(3437,plain,
% 13.40/9.17 (~m_main_v_state(s49, c_ready)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3436, 3428, 3281])).
% 13.40/9.17 tff(3438,plain,
% 13.40/9.17 (always3(s49)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3097, 36, 3424])).
% 13.40/9.17 tff(3439,plain,
% 13.40/9.17 (~m_main_v_state(s49, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3401, 85, 3438])).
% 13.40/9.17 tff(3440,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3441,plain,
% 13.40/9.17 ((~![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))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3442,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3441, 3440])).
% 13.40/9.17 tff(3443,plain,
% 13.40/9.17 ($false),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3442, 102, 3439, 3437])).
% 13.40/9.17 tff(3444,plain,((~node4(s49)) | m_main_v_state(s50, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.17 tff(3445,plain,
% 13.40/9.17 (m_main_v_state(s50, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3444, 3423])).
% 13.40/9.17 tff(3446,plain,
% 13.40/9.17 (always3(s50)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3313, 3263, 3036])).
% 13.40/9.17 tff(3447,plain,
% 13.40/9.17 ($false),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3320, 85, 3446, 3445])).
% 13.40/9.17 tff(3448,plain,(xuntil6(s51) | (~until5(s42))), inference(lemma,lemma(discharge,[]))).
% 13.40/9.17 tff(3449,plain,
% 13.40/9.17 (xuntil6(s51)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3448, 2809])).
% 13.40/9.17 tff(3450,plain,
% 13.40/9.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3451,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3452,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 13.40/9.17 tff(3453,plain,
% 13.40/9.17 ((~xuntil6(s51)) | until5(s52)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3452, 3224, 312])).
% 13.40/9.17 tff(3454,plain,
% 13.40/9.17 (until5(s52)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3453, 3449])).
% 13.40/9.17 tff(3455,assumption,(node4(s52)), introduced(assumption)).
% 13.40/9.17 tff(3456,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3457,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s52) | (~node4(s52)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3458,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s52) | (~node4(s52))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 13.40/9.17 tff(3459,plain,
% 13.40/9.17 (m_main_v_request(s52)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3458, 21, 3455])).
% 13.40/9.17 tff(3460,plain,
% 13.40/9.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3461,plain,
% 13.40/9.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3462,plain,
% 13.40/9.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3461, 3460])).
% 13.40/9.17 tff(3463,plain,
% 13.40/9.17 (always3(s52)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3462, 36, 3455])).
% 13.40/9.17 tff(3464,plain,
% 13.40/9.17 (succ(s52, s53) <=> succ(s52, s53)),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3465,axiom,(succ(s52, s53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound53')).
% 13.40/9.17 tff(3466,plain,
% 13.40/9.17 (succ(s52, s53)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3465, 3464])).
% 13.40/9.17 tff(3467,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3468,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3469,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3468, 3467])).
% 13.40/9.17 tff(3470,plain,
% 13.40/9.17 (trans(s52, s53)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3469, 3466, 52])).
% 13.40/9.17 tff(3471,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3472,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s52, s53)) | (~always3(s52)) | always3(s53))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3473,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s52, s53)) | (~always3(s52)) | always3(s53)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 13.40/9.17 tff(3474,plain,
% 13.40/9.17 ((~always3(s52)) | always3(s53)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3473, 125, 3470])).
% 13.40/9.17 tff(3475,plain,
% 13.40/9.17 (always3(s53)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3474, 3463])).
% 13.40/9.17 tff(3476,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3477,plain,
% 13.40/9.17 (((~m_main_v_state(s53, c_busy)) | (~always3(s53))) <=> ((~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3478,plain,
% 13.40/9.17 (((~![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))))),
% 13.40/9.17 inference(monotonicity,[status(thm)],[3477])).
% 13.40/9.17 tff(3479,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(transitivity,[status(thm)],[3478, 3476])).
% 13.40/9.17 tff(3480,plain,
% 13.40/9.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3481,plain,
% 13.40/9.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3480, 3479])).
% 13.40/9.17 tff(3482,plain,
% 13.40/9.17 (~m_main_v_state(s53, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3481, 85, 3475])).
% 13.40/9.17 tff(3483,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3484,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s52, s53)) | node2(s52, s53))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3485,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s52, s53)) | node2(s52, s53)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3484, 3483])).
% 13.40/9.17 tff(3486,plain,
% 13.40/9.17 (node2(s52, s53)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3485, 7, 3470])).
% 13.40/9.17 tff(3487,plain,
% 13.40/9.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3488,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3489,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3488, 3487])).
% 13.40/9.17 tff(3490,plain,
% 13.40/9.17 ((~m_main_v_state(s52, c_ready)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3489, 73, 3486])).
% 13.40/9.17 tff(3491,plain,
% 13.40/9.17 (~m_main_v_state(s52, c_ready)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3490, 3482, 3459])).
% 13.40/9.17 tff(3492,plain,
% 13.40/9.17 (~m_main_v_state(s52, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3239, 85, 3463])).
% 13.40/9.17 tff(3493,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3494,plain,
% 13.40/9.17 ((~![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))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3495,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 13.40/9.17 tff(3496,plain,
% 13.40/9.17 ($false),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3495, 102, 3492, 3491])).
% 13.40/9.17 tff(3497,plain,(~node4(s52)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.17 tff(3498,plain,
% 13.40/9.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s52) | node4(s52) | (~until5(s52)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3499,plain,
% 13.40/9.17 ((node4(s52) | (~until5(s52)) | xuntil6(s52)) <=> (xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3500,plain,
% 13.40/9.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s52) | node4(s52) | (~until5(s52))))),
% 13.40/9.17 inference(monotonicity,[status(thm)],[3499])).
% 13.40/9.17 tff(3501,plain,
% 13.40/9.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 13.40/9.17 inference(transitivity,[status(thm)],[3500, 3498])).
% 13.40/9.17 tff(3502,plain,
% 13.40/9.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3503,plain,
% 13.40/9.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 13.40/9.17 tff(3504,plain,
% 13.40/9.17 (xuntil6(s52) | (~until5(s52))),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3503, 294, 3497])).
% 13.40/9.17 tff(3505,plain,
% 13.40/9.17 (xuntil6(s52)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3504, 3454])).
% 13.40/9.17 tff(3506,plain,
% 13.40/9.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3507,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3508,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3507, 3506])).
% 13.40/9.17 tff(3509,plain,
% 13.40/9.17 ((~xuntil6(s52)) | until5(s53)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3508, 3466, 312])).
% 13.40/9.17 tff(3510,plain,
% 13.40/9.17 (until5(s53)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3509, 3505])).
% 13.40/9.17 tff(3511,assumption,(node4(s53)), introduced(assumption)).
% 13.40/9.17 tff(3512,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3513,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s53) | (~node4(s53)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3514,plain,
% 13.40/9.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s53) | (~node4(s53))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3513, 3512])).
% 13.40/9.17 tff(3515,plain,
% 13.40/9.17 (m_main_v_request(s53)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3514, 21, 3511])).
% 13.40/9.17 tff(3516,plain,
% 13.40/9.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3517,plain,
% 13.40/9.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3518,plain,
% 13.40/9.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 13.40/9.17 tff(3519,plain,
% 13.40/9.17 (always3(s53)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3518, 36, 3511])).
% 13.40/9.17 tff(3520,plain,
% 13.40/9.17 (succ(s53, s54) <=> succ(s53, s54)),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3521,axiom,(succ(s53, s54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound54')).
% 13.40/9.17 tff(3522,plain,
% 13.40/9.17 (succ(s53, s54)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3521, 3520])).
% 13.40/9.17 tff(3523,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3524,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3525,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 13.40/9.17 tff(3526,plain,
% 13.40/9.17 (trans(s53, s54)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3525, 3522, 52])).
% 13.40/9.17 tff(3527,plain,
% 13.40/9.17 (((~![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))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3528,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s53, s54)) | (~always3(s53)) | always3(s54))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3529,plain,
% 13.40/9.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s53, s54)) | (~always3(s53)) | always3(s54)),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 13.40/9.17 tff(3530,plain,
% 13.40/9.17 ((~always3(s53)) | always3(s54)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3529, 125, 3526])).
% 13.40/9.17 tff(3531,plain,
% 13.40/9.17 (always3(s54)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3530, 3519])).
% 13.40/9.17 tff(3532,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3533,plain,
% 13.40/9.17 (((~m_main_v_state(s54, c_busy)) | (~always3(s54))) <=> ((~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 13.40/9.17 inference(rewrite,[status(thm)],[])).
% 13.40/9.17 tff(3534,plain,
% 13.40/9.17 (((~![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))))),
% 13.40/9.17 inference(monotonicity,[status(thm)],[3533])).
% 13.40/9.17 tff(3535,plain,
% 13.40/9.17 (((~![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)))),
% 13.40/9.17 inference(transitivity,[status(thm)],[3534, 3532])).
% 13.40/9.17 tff(3536,plain,
% 13.40/9.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))),
% 13.40/9.17 inference(quant_inst,[status(thm)],[])).
% 13.40/9.17 tff(3537,plain,
% 13.40/9.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy))),
% 13.40/9.17 inference(modus_ponens,[status(thm)],[3536, 3535])).
% 13.40/9.17 tff(3538,plain,
% 13.40/9.17 (~m_main_v_state(s54, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3537, 85, 3531])).
% 13.40/9.17 tff(3539,plain,
% 13.40/9.17 (~m_main_v_state(s53, c_busy)),
% 13.40/9.17 inference(unit_resolution,[status(thm)],[3481, 85, 3519])).
% 13.40/9.17 tff(3540,assumption,(~m_main_v_state(s53, c_ready)), introduced(assumption)).
% 13.40/9.17 tff(3541,assumption,(~m_main_v_state(s53, c_busy)), introduced(assumption)).
% 13.40/9.17 tff(3542,plain,
% 13.40/9.17 (^[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)))),
% 13.40/9.18 inference(bind,[status(th)],[])).
% 13.40/9.18 tff(3543,plain,
% 13.40/9.18 (![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))),
% 13.40/9.18 inference(quant_intro,[status(thm)],[3542])).
% 13.40/9.18 tff(3544,plain,
% 13.40/9.18 (![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))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3545,plain,
% 13.40/9.18 (^[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))))),
% 13.40/9.18 inference(bind,[status(th)],[])).
% 13.40/9.18 tff(3546,plain,
% 13.40/9.18 (![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))),
% 13.40/9.18 inference(quant_intro,[status(thm)],[3545])).
% 13.40/9.18 tff(3547,axiom,(![Y: $i, X: $i] : (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 13.40/9.18 tff(3548,plain,
% 13.40/9.18 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 13.40/9.18 tff(3549,plain,
% 13.40/9.18 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3548, 3544])).
% 13.40/9.18 tff(3550,plain,(
% 13.40/9.18 ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 13.40/9.18 inference(skolemize,[status(sab)],[3549])).
% 13.40/9.18 tff(3551,plain,
% 13.40/9.18 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3550, 3543])).
% 13.40/9.18 tff(3552,plain,
% 13.40/9.18 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s52, s53)) | m_main_v_state(s53, c_busy) | node1(s52) | m_main_v_state(s53, 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(s52, s53)) | m_main_v_state(s53, c_busy) | node1(s52) | m_main_v_state(s53, c_ready))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3553,plain,
% 13.40/9.18 ((node1(s52) | m_main_v_state(s53, c_ready) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy)) <=> ((~node2(s52, s53)) | m_main_v_state(s53, c_busy) | node1(s52) | m_main_v_state(s53, c_ready))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3554,plain,
% 13.40/9.18 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s52) | m_main_v_state(s53, c_ready) | (~node2(s52, s53)) | m_main_v_state(s53, 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(s52, s53)) | m_main_v_state(s53, c_busy) | node1(s52) | m_main_v_state(s53, c_ready)))),
% 13.40/9.18 inference(monotonicity,[status(thm)],[3553])).
% 13.40/9.18 tff(3555,plain,
% 13.40/9.18 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s52) | m_main_v_state(s53, c_ready) | (~node2(s52, s53)) | m_main_v_state(s53, 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(s52, s53)) | m_main_v_state(s53, c_busy) | node1(s52) | m_main_v_state(s53, c_ready))),
% 13.40/9.18 inference(transitivity,[status(thm)],[3554, 3552])).
% 13.40/9.18 tff(3556,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s52) | m_main_v_state(s53, c_ready) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3557,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | node1(s52) | m_main_v_state(s53, c_ready)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 13.40/9.18 tff(3558,plain,
% 13.40/9.18 (m_main_v_state(s53, c_busy) | node1(s52) | m_main_v_state(s53, c_ready)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3557, 3551, 3486])).
% 13.40/9.18 tff(3559,plain,
% 13.40/9.18 (node1(s52)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3558, 3541, 3540])).
% 13.40/9.18 tff(3560,assumption,(m_main_v_state(s52, c_ready)), introduced(assumption)).
% 13.40/9.18 tff(3561,plain,
% 13.40/9.18 (~m_main_v_request(s52)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3490, 3541, 3560])).
% 13.40/9.18 tff(3562,plain,
% 13.40/9.18 (^[X: $i] : refl((m_main_v_request(X) | (~node1(X))) <=> (m_main_v_request(X) | (~node1(X))))),
% 13.40/9.18 inference(bind,[status(th)],[])).
% 13.40/9.18 tff(3563,plain,
% 13.40/9.18 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 13.40/9.18 inference(quant_intro,[status(thm)],[3562])).
% 13.40/9.18 tff(3564,plain,
% 13.40/9.18 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3565,axiom,(![X: $i] : (m_main_v_request(X) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_5')).
% 13.40/9.18 tff(3566,plain,
% 13.40/9.18 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3565, 3564])).
% 13.40/9.18 tff(3567,plain,(
% 13.40/9.18 ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 13.40/9.18 inference(skolemize,[status(sab)],[3566])).
% 13.40/9.18 tff(3568,plain,
% 13.40/9.18 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3567, 3563])).
% 13.40/9.18 tff(3569,plain,
% 13.40/9.18 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s52) | (~node1(s52)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s52) | (~node1(s52)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3570,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s52) | (~node1(s52)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3571,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s52) | (~node1(s52))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 13.40/9.18 tff(3572,plain,
% 13.40/9.18 ($false),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3571, 3568, 3561, 3559])).
% 13.40/9.18 tff(3573,plain,(m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready) | (~m_main_v_state(s52, c_ready))), inference(lemma,lemma(discharge,[]))).
% 13.40/9.18 tff(3574,plain,
% 13.40/9.18 (~m_main_v_state(s52, c_ready)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3573, 3541, 3540])).
% 13.40/9.18 tff(3575,plain,
% 13.40/9.18 (^[X: $i] : refl((m_main_v_state(X, c_ready) | (~node1(X))) <=> (m_main_v_state(X, c_ready) | (~node1(X))))),
% 13.40/9.18 inference(bind,[status(th)],[])).
% 13.40/9.18 tff(3576,plain,
% 13.40/9.18 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 13.40/9.18 inference(quant_intro,[status(thm)],[3575])).
% 13.40/9.18 tff(3577,plain,
% 13.40/9.18 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3578,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_4')).
% 13.40/9.18 tff(3579,plain,
% 13.40/9.18 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 13.40/9.18 tff(3580,plain,(
% 13.40/9.18 ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 13.40/9.18 inference(skolemize,[status(sab)],[3579])).
% 13.40/9.18 tff(3581,plain,
% 13.40/9.18 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3580, 3576])).
% 13.40/9.18 tff(3582,plain,
% 13.40/9.18 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s52, c_ready) | (~node1(s52)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s52, c_ready) | (~node1(s52)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3583,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s52, c_ready) | (~node1(s52)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3584,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s52, c_ready) | (~node1(s52))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3583, 3582])).
% 13.40/9.18 tff(3585,plain,
% 13.40/9.18 ($false),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3584, 3581, 3574, 3559])).
% 13.40/9.18 tff(3586,plain,(m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.18 tff(3587,plain,
% 13.40/9.18 (m_main_v_state(s53, c_ready)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3586, 3539])).
% 13.40/9.18 tff(3588,plain,
% 13.40/9.18 (((~![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))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3589,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s53, s54)) | node2(s53, s54))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3590,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s53, s54)) | node2(s53, s54)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 13.40/9.18 tff(3591,plain,
% 13.40/9.18 (node2(s53, s54)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3590, 7, 3526])).
% 13.40/9.18 tff(3592,plain,
% 13.40/9.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3593,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3594,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 13.40/9.18 tff(3595,plain,
% 13.40/9.18 ((~m_main_v_state(s53, c_ready)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3594, 73, 3591])).
% 13.40/9.18 tff(3596,plain,
% 13.40/9.18 ($false),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3595, 3587, 3538, 3515])).
% 13.40/9.18 tff(3597,plain,(~node4(s53)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.18 tff(3598,plain,
% 13.40/9.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s53) | node4(s53) | (~until5(s53)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3599,plain,
% 13.40/9.18 ((node4(s53) | (~until5(s53)) | xuntil6(s53)) <=> (xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3600,plain,
% 13.40/9.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s53) | (~until5(s53)) | xuntil6(s53))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s53) | node4(s53) | (~until5(s53))))),
% 13.40/9.18 inference(monotonicity,[status(thm)],[3599])).
% 13.40/9.18 tff(3601,plain,
% 13.40/9.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s53) | (~until5(s53)) | xuntil6(s53))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 13.40/9.18 inference(transitivity,[status(thm)],[3600, 3598])).
% 13.40/9.18 tff(3602,plain,
% 13.40/9.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s53) | (~until5(s53)) | xuntil6(s53))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3603,plain,
% 13.40/9.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3602, 3601])).
% 13.40/9.18 tff(3604,plain,
% 13.40/9.18 (xuntil6(s53) | (~until5(s53))),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3603, 294, 3597])).
% 13.40/9.18 tff(3605,plain,
% 13.40/9.18 (xuntil6(s53)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3604, 3510])).
% 13.40/9.18 tff(3606,plain,
% 13.40/9.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3607,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3608,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3607, 3606])).
% 13.40/9.18 tff(3609,plain,
% 13.40/9.18 ((~xuntil6(s53)) | until5(s54)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3608, 3522, 312])).
% 13.40/9.18 tff(3610,plain,
% 13.40/9.18 (until5(s54)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3609, 3605])).
% 13.40/9.18 tff(3611,assumption,(node4(s54)), introduced(assumption)).
% 13.40/9.18 tff(3612,plain,
% 13.40/9.18 (((~![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)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3613,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s54) | (~node4(s54)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3614,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s54) | (~node4(s54))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 13.40/9.18 tff(3615,plain,
% 13.40/9.18 (m_main_v_request(s54)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3614, 21, 3611])).
% 13.40/9.18 tff(3616,plain,
% 13.40/9.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3617,plain,
% 13.40/9.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3618,plain,
% 13.40/9.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 13.40/9.18 tff(3619,plain,
% 13.40/9.18 (always3(s54)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3618, 36, 3611])).
% 13.40/9.18 tff(3620,plain,
% 13.40/9.18 (succ(s54, s55) <=> succ(s54, s55)),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3621,axiom,(succ(s54, s55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound55')).
% 13.40/9.18 tff(3622,plain,
% 13.40/9.18 (succ(s54, s55)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3621, 3620])).
% 13.40/9.18 tff(3623,plain,
% 13.40/9.18 (((~![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))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3624,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3625,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3624, 3623])).
% 13.40/9.18 tff(3626,plain,
% 13.40/9.18 (trans(s54, s55)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3625, 3622, 52])).
% 13.40/9.18 tff(3627,plain,
% 13.40/9.18 (((~![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))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3628,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s54, s55)) | (~always3(s54)) | always3(s55))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3629,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s54, s55)) | (~always3(s54)) | always3(s55)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 13.40/9.18 tff(3630,plain,
% 13.40/9.18 ((~always3(s54)) | always3(s55)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3629, 125, 3626])).
% 13.40/9.18 tff(3631,plain,
% 13.40/9.18 (always3(s55)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3630, 3619])).
% 13.40/9.18 tff(3632,plain,
% 13.40/9.18 (((~![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)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3633,plain,
% 13.40/9.18 (((~m_main_v_state(s55, c_busy)) | (~always3(s55))) <=> ((~always3(s55)) | (~m_main_v_state(s55, c_busy)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3634,plain,
% 13.40/9.18 (((~![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))))),
% 13.40/9.18 inference(monotonicity,[status(thm)],[3633])).
% 13.40/9.18 tff(3635,plain,
% 13.40/9.18 (((~![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)))),
% 13.40/9.18 inference(transitivity,[status(thm)],[3634, 3632])).
% 13.40/9.18 tff(3636,plain,
% 13.40/9.18 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s55, c_busy)) | (~always3(s55)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3637,plain,
% 13.40/9.18 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s55)) | (~m_main_v_state(s55, c_busy))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3636, 3635])).
% 13.40/9.18 tff(3638,plain,
% 13.40/9.18 (~m_main_v_state(s55, c_busy)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3637, 85, 3631])).
% 13.40/9.18 tff(3639,plain,
% 13.40/9.18 (((~![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))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3640,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s54, s55)) | node2(s54, s55))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3641,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s54, s55)) | node2(s54, s55)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3640, 3639])).
% 13.40/9.18 tff(3642,plain,
% 13.40/9.18 (node2(s54, s55)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3641, 7, 3626])).
% 13.40/9.18 tff(3643,plain,
% 13.40/9.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3644,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3645,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 13.40/9.18 tff(3646,plain,
% 13.40/9.18 ((~m_main_v_state(s54, c_ready)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54))),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3645, 73, 3642])).
% 13.40/9.18 tff(3647,plain,
% 13.40/9.18 (~m_main_v_state(s54, c_ready)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3646, 3638, 3615])).
% 13.40/9.18 tff(3648,plain,
% 13.40/9.18 (~m_main_v_state(s54, c_busy)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3537, 85, 3619])).
% 13.40/9.18 tff(3649,plain,
% 13.40/9.18 (((~![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))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3650,plain,
% 13.40/9.18 ((~![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))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3651,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 13.40/9.18 tff(3652,plain,
% 13.40/9.18 ($false),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3651, 102, 3648, 3647])).
% 13.40/9.18 tff(3653,plain,(~node4(s54)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.18 tff(3654,plain,
% 13.40/9.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s54) | node4(s54) | (~until5(s54)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3655,plain,
% 13.40/9.18 ((node4(s54) | (~until5(s54)) | xuntil6(s54)) <=> (xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3656,plain,
% 13.40/9.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s54) | node4(s54) | (~until5(s54))))),
% 13.40/9.18 inference(monotonicity,[status(thm)],[3655])).
% 13.40/9.18 tff(3657,plain,
% 13.40/9.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 13.40/9.18 inference(transitivity,[status(thm)],[3656, 3654])).
% 13.40/9.18 tff(3658,plain,
% 13.40/9.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3659,plain,
% 13.40/9.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3658, 3657])).
% 13.40/9.18 tff(3660,plain,
% 13.40/9.18 (xuntil6(s54) | (~until5(s54))),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3659, 294, 3653])).
% 13.40/9.18 tff(3661,plain,
% 13.40/9.18 (xuntil6(s54)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3660, 3610])).
% 13.40/9.18 tff(3662,plain,
% 13.40/9.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3663,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3664,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3663, 3662])).
% 13.40/9.18 tff(3665,plain,
% 13.40/9.18 ((~xuntil6(s54)) | until5(s55)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3664, 3622, 312])).
% 13.40/9.18 tff(3666,plain,
% 13.40/9.18 (until5(s55)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3665, 3661])).
% 13.40/9.18 tff(3667,assumption,(node4(s55)), introduced(assumption)).
% 13.40/9.18 tff(3668,plain,
% 13.40/9.18 (((~![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)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3669,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s55) | (~node4(s55)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3670,plain,
% 13.40/9.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s55) | (~node4(s55))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 13.40/9.18 tff(3671,plain,
% 13.40/9.18 (m_main_v_request(s55)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3670, 21, 3667])).
% 13.40/9.18 tff(3672,plain,
% 13.40/9.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3673,plain,
% 13.40/9.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3674,plain,
% 13.40/9.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55))),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 13.40/9.18 tff(3675,plain,
% 13.40/9.18 (always3(s55)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3674, 36, 3667])).
% 13.40/9.18 tff(3676,plain,
% 13.40/9.18 (succ(s55, s56) <=> succ(s55, s56)),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3677,axiom,(succ(s55, s56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound56')).
% 13.40/9.18 tff(3678,plain,
% 13.40/9.18 (succ(s55, s56)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 13.40/9.18 tff(3679,plain,
% 13.40/9.18 (((~![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))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3680,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3681,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3680, 3679])).
% 13.40/9.18 tff(3682,plain,
% 13.40/9.18 (trans(s55, s56)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3681, 3678, 52])).
% 13.40/9.18 tff(3683,plain,
% 13.40/9.18 (((~![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))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3684,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s55, s56)) | (~always3(s55)) | always3(s56))),
% 13.40/9.18 inference(quant_inst,[status(thm)],[])).
% 13.40/9.18 tff(3685,plain,
% 13.40/9.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s55, s56)) | (~always3(s55)) | always3(s56)),
% 13.40/9.18 inference(modus_ponens,[status(thm)],[3684, 3683])).
% 13.40/9.18 tff(3686,plain,
% 13.40/9.18 ((~always3(s55)) | always3(s56)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3685, 125, 3682])).
% 13.40/9.18 tff(3687,plain,
% 13.40/9.18 (always3(s56)),
% 13.40/9.18 inference(unit_resolution,[status(thm)],[3686, 3675])).
% 13.40/9.18 tff(3688,plain,
% 13.40/9.18 (((~![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)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.18 tff(3689,plain,
% 13.40/9.18 (((~m_main_v_state(s56, c_busy)) | (~always3(s56))) <=> ((~always3(s56)) | (~m_main_v_state(s56, c_busy)))),
% 13.40/9.18 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3690,plain,
% 13.40/9.19 (((~![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))))),
% 13.40/9.19 inference(monotonicity,[status(thm)],[3689])).
% 13.40/9.19 tff(3691,plain,
% 13.40/9.19 (((~![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)))),
% 13.40/9.19 inference(transitivity,[status(thm)],[3690, 3688])).
% 13.40/9.19 tff(3692,plain,
% 13.40/9.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s56, c_busy)) | (~always3(s56)))),
% 13.40/9.19 inference(quant_inst,[status(thm)],[])).
% 13.40/9.19 tff(3693,plain,
% 13.40/9.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s56)) | (~m_main_v_state(s56, c_busy))),
% 13.40/9.19 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 13.40/9.19 tff(3694,plain,
% 13.40/9.19 (~m_main_v_state(s56, c_busy)),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3693, 85, 3687])).
% 13.40/9.19 tff(3695,plain,
% 13.40/9.19 (((~![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))),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3696,plain,
% 13.40/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s55, s56)) | node2(s55, s56))),
% 13.40/9.19 inference(quant_inst,[status(thm)],[])).
% 13.40/9.19 tff(3697,plain,
% 13.40/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s55, s56)) | node2(s55, s56)),
% 13.40/9.19 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 13.40/9.19 tff(3698,plain,
% 13.40/9.19 (node2(s55, s56)),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3697, 7, 3682])).
% 13.40/9.19 tff(3699,plain,
% 13.40/9.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3700,plain,
% 13.40/9.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55)))),
% 13.40/9.19 inference(quant_inst,[status(thm)],[])).
% 13.40/9.19 tff(3701,plain,
% 13.40/9.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55))),
% 13.40/9.19 inference(modus_ponens,[status(thm)],[3700, 3699])).
% 13.40/9.19 tff(3702,plain,
% 13.40/9.19 ((~m_main_v_state(s55, c_ready)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55))),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3701, 73, 3698])).
% 13.40/9.19 tff(3703,plain,
% 13.40/9.19 (~m_main_v_state(s55, c_ready)),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3702, 3694, 3671])).
% 13.40/9.19 tff(3704,plain,
% 13.40/9.19 (~m_main_v_state(s55, c_busy)),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3637, 85, 3675])).
% 13.40/9.19 tff(3705,plain,
% 13.40/9.19 (((~![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))),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3706,plain,
% 13.40/9.19 ((~![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))),
% 13.40/9.19 inference(quant_inst,[status(thm)],[])).
% 13.40/9.19 tff(3707,plain,
% 13.40/9.19 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready)),
% 13.40/9.19 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 13.40/9.19 tff(3708,plain,
% 13.40/9.19 ($false),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3707, 102, 3704, 3703])).
% 13.40/9.19 tff(3709,plain,(~node4(s55)), inference(lemma,lemma(discharge,[]))).
% 13.40/9.19 tff(3710,plain,
% 13.40/9.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s55) | node4(s55) | (~until5(s55)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3711,plain,
% 13.40/9.19 ((node4(s55) | (~until5(s55)) | xuntil6(s55)) <=> (xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3712,plain,
% 13.40/9.19 (((~![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))))),
% 13.40/9.19 inference(monotonicity,[status(thm)],[3711])).
% 13.40/9.19 tff(3713,plain,
% 13.40/9.19 (((~![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)))),
% 13.40/9.19 inference(transitivity,[status(thm)],[3712, 3710])).
% 13.40/9.19 tff(3714,plain,
% 13.40/9.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))),
% 13.40/9.19 inference(quant_inst,[status(thm)],[])).
% 13.40/9.19 tff(3715,plain,
% 13.40/9.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55))),
% 13.40/9.19 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 13.40/9.19 tff(3716,plain,
% 13.40/9.19 (xuntil6(s55) | (~until5(s55))),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3715, 294, 3709])).
% 13.40/9.19 tff(3717,plain,
% 13.40/9.19 (xuntil6(s55)),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3716, 3666])).
% 13.40/9.19 tff(3718,plain,
% 13.40/9.19 (((~![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))),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3719,plain,
% 13.40/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))),
% 13.40/9.19 inference(quant_inst,[status(thm)],[])).
% 13.40/9.19 tff(3720,plain,
% 13.40/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56)),
% 13.40/9.19 inference(modus_ponens,[status(thm)],[3719, 3718])).
% 13.40/9.19 tff(3721,plain,
% 13.40/9.19 ((~xuntil6(s55)) | until5(s56)),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3720, 3678, 312])).
% 13.40/9.19 tff(3722,plain,
% 13.40/9.19 (until5(s56)),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3721, 3717])).
% 13.40/9.19 tff(3723,assumption,(~xuntil6(s62)), introduced(assumption)).
% 13.40/9.19 tff(3724,assumption,(~always3(s59)), introduced(assumption)).
% 13.40/9.19 tff(3725,plain,
% 13.40/9.19 (succ(s58, s59) <=> succ(s58, s59)),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3726,axiom,(succ(s58, s59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound59')).
% 13.40/9.19 tff(3727,plain,
% 13.40/9.19 (succ(s58, s59)),
% 13.40/9.19 inference(modus_ponens,[status(thm)],[3726, 3725])).
% 13.40/9.19 tff(3728,plain,
% 13.40/9.19 (((~![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))),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.40/9.19 tff(3729,plain,
% 13.40/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 13.40/9.19 inference(quant_inst,[status(thm)],[])).
% 13.40/9.19 tff(3730,plain,
% 13.40/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 13.40/9.19 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 13.40/9.19 tff(3731,plain,
% 13.40/9.19 (trans(s58, s59)),
% 13.40/9.19 inference(unit_resolution,[status(thm)],[3730, 3727, 52])).
% 13.40/9.19 tff(3732,plain,
% 13.40/9.19 (((~![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))),
% 13.40/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3733,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s58, s59)) | (~always3(s58)) | always3(s59))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3734,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s58, s59)) | (~always3(s58)) | always3(s59)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 13.48/9.19 tff(3735,plain,
% 13.48/9.19 ((~always3(s58)) | always3(s59)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3734, 125, 3731])).
% 13.48/9.19 tff(3736,plain,
% 13.48/9.19 (~always3(s58)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3735, 3724])).
% 13.48/9.19 tff(3737,plain,
% 13.48/9.19 (succ(s57, s58) <=> succ(s57, s58)),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3738,axiom,(succ(s57, s58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound58')).
% 13.48/9.19 tff(3739,plain,
% 13.48/9.19 (succ(s57, s58)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3738, 3737])).
% 13.48/9.19 tff(3740,plain,
% 13.48/9.19 (((~![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))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3741,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3742,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3741, 3740])).
% 13.48/9.19 tff(3743,plain,
% 13.48/9.19 (trans(s57, s58)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3742, 3739, 52])).
% 13.48/9.19 tff(3744,plain,
% 13.48/9.19 (((~![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))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3745,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s57, s58)) | (~always3(s57)) | always3(s58))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3746,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s57, s58)) | (~always3(s57)) | always3(s58)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3745, 3744])).
% 13.48/9.19 tff(3747,plain,
% 13.48/9.19 ((~always3(s57)) | always3(s58)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3746, 125, 3743])).
% 13.48/9.19 tff(3748,plain,
% 13.48/9.19 (~always3(s57)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3747, 3736])).
% 13.48/9.19 tff(3749,plain,
% 13.48/9.19 (succ(s56, s57) <=> succ(s56, s57)),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3750,axiom,(succ(s56, s57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound57')).
% 13.48/9.19 tff(3751,plain,
% 13.48/9.19 (succ(s56, s57)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 13.48/9.19 tff(3752,plain,
% 13.48/9.19 (((~![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))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3753,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3754,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3753, 3752])).
% 13.48/9.19 tff(3755,plain,
% 13.48/9.19 (trans(s56, s57)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3754, 3751, 52])).
% 13.48/9.19 tff(3756,plain,
% 13.48/9.19 (((~![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))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3757,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s56, s57)) | (~always3(s56)) | always3(s57))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3758,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s56, s57)) | (~always3(s56)) | always3(s57)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 13.48/9.19 tff(3759,plain,
% 13.48/9.19 ((~always3(s56)) | always3(s57)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3758, 125, 3755])).
% 13.48/9.19 tff(3760,plain,
% 13.48/9.19 (~always3(s56)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3759, 3748])).
% 13.48/9.19 tff(3761,plain,
% 13.48/9.19 (~always3(s55)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3686, 3760])).
% 13.48/9.19 tff(3762,plain,
% 13.48/9.19 (~always3(s54)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3630, 3761])).
% 13.48/9.19 tff(3763,plain,
% 13.48/9.19 (~always3(s53)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3530, 3762])).
% 13.48/9.19 tff(3764,plain,
% 13.48/9.19 (~always3(s52)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3474, 3763])).
% 13.48/9.19 tff(3765,plain,
% 13.48/9.19 (~always3(s51)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3232, 3764])).
% 13.48/9.19 tff(3766,plain,
% 13.48/9.19 (~always3(s50)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3048, 3765])).
% 13.48/9.19 tff(3767,plain,
% 13.48/9.19 (~always3(s49)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3093, 3766])).
% 13.48/9.19 tff(3768,plain,
% 13.48/9.19 (~always3(s48)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3122, 3767])).
% 13.48/9.19 tff(3769,plain,
% 13.48/9.19 (~always3(s47)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3151, 3768])).
% 13.48/9.19 tff(3770,plain,
% 13.48/9.19 (~always3(s46)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3175, 3769])).
% 13.48/9.19 tff(3771,plain,
% 13.48/9.19 (~always3(s45)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3000, 3770])).
% 13.48/9.19 tff(3772,plain,
% 13.48/9.19 (~always3(s44)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2944, 3771])).
% 13.48/9.19 tff(3773,plain,
% 13.48/9.19 (~always3(s43)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2888, 3772])).
% 13.48/9.19 tff(3774,plain,
% 13.48/9.19 (~always3(s42)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2832, 3773])).
% 13.48/9.19 tff(3775,plain,
% 13.48/9.19 (~always3(s41)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2773, 3774])).
% 13.48/9.19 tff(3776,plain,
% 13.48/9.19 (~node4(s41)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2761, 36, 3775])).
% 13.48/9.19 tff(3777,plain,
% 13.48/9.19 (~always3(s40)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2699, 3775])).
% 13.48/9.19 tff(3778,plain,
% 13.48/9.19 (~always3(s39)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2661, 3777])).
% 13.48/9.19 tff(3779,plain,
% 13.48/9.19 (~always3(s38)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2599, 3778])).
% 13.48/9.19 tff(3780,plain,
% 13.48/9.19 (~node4(s38)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2587, 36, 3779])).
% 13.48/9.19 tff(3781,plain,
% 13.48/9.19 (~always3(s37)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1912, 3779])).
% 13.48/9.19 tff(3782,plain,
% 13.48/9.19 (~always3(s36)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1333, 3781])).
% 13.48/9.19 tff(3783,plain,
% 13.48/9.19 (~always3(s35)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1378, 3782])).
% 13.48/9.19 tff(3784,plain,
% 13.48/9.19 (~always3(s34)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1407, 3783])).
% 13.48/9.19 tff(3785,plain,
% 13.48/9.19 (~always3(s33)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1436, 3784])).
% 13.48/9.19 tff(3786,plain,
% 13.48/9.19 (~always3(s32)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[200, 3785])).
% 13.48/9.19 tff(3787,plain,
% 13.48/9.19 (~always3(s31)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1480, 3786])).
% 13.48/9.19 tff(3788,plain,
% 13.48/9.19 (~always3(s30)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[249, 3787])).
% 13.48/9.19 tff(3789,plain,
% 13.48/9.19 (~always3(s29)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1524, 3788])).
% 13.48/9.19 tff(3790,plain,
% 13.48/9.19 (~always3(s28)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[151, 3789])).
% 13.48/9.19 tff(3791,plain,
% 13.48/9.19 (~always3(s27)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1568, 3790])).
% 13.48/9.19 tff(3792,plain,
% 13.48/9.19 (~always3(s26)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1592, 3791])).
% 13.48/9.19 tff(3793,plain,
% 13.48/9.19 (~always3(s25)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1604, 3792])).
% 13.48/9.19 tff(3794,plain,
% 13.48/9.19 (~always3(s24)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1616, 3793])).
% 13.48/9.19 tff(3795,plain,
% 13.48/9.19 (~always3(s23)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1628, 3794])).
% 13.48/9.19 tff(3796,plain,
% 13.48/9.19 (~always3(s22)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1640, 3795])).
% 13.48/9.19 tff(3797,plain,
% 13.48/9.19 (~always3(s21)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1652, 3796])).
% 13.48/9.19 tff(3798,plain,
% 13.48/9.19 (~always3(s20)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1664, 3797])).
% 13.48/9.19 tff(3799,plain,
% 13.48/9.19 (~always3(s19)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1676, 3798])).
% 13.48/9.19 tff(3800,plain,
% 13.48/9.19 (~always3(s18)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1688, 3799])).
% 13.48/9.19 tff(3801,plain,
% 13.48/9.19 (~always3(s17)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1700, 3800])).
% 13.48/9.19 tff(3802,plain,
% 13.48/9.19 (~always3(s16)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1716, 3801])).
% 13.48/9.19 tff(3803,plain,
% 13.48/9.19 (~always3(s15)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1259, 3802])).
% 13.48/9.19 tff(3804,plain,
% 13.48/9.19 (xuntil6(s15)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1240, 3803])).
% 13.48/9.19 tff(3805,plain,
% 13.48/9.19 (until5(s16)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1318, 3804])).
% 13.48/9.19 tff(3806,plain,
% 13.48/9.19 (xuntil6(s37)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[1900, 3805, 3781])).
% 13.48/9.19 tff(3807,plain,
% 13.48/9.19 (until5(s38)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2578, 3806])).
% 13.48/9.19 tff(3808,plain,
% 13.48/9.19 (xuntil6(s38) | node4(s38)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2628, 294, 3807])).
% 13.48/9.19 tff(3809,plain,
% 13.48/9.19 (xuntil6(s38)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3808, 3780])).
% 13.48/9.19 tff(3810,plain,
% 13.48/9.19 (until5(s39)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2634, 3809])).
% 13.48/9.19 tff(3811,plain,
% 13.48/9.19 (xuntil6(s40)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2747, 3810])).
% 13.48/9.19 tff(3812,plain,
% 13.48/9.19 (until5(s41)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2752, 3811])).
% 13.48/9.19 tff(3813,plain,
% 13.48/9.19 (xuntil6(s41)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2802, 294, 3812, 3776])).
% 13.48/9.19 tff(3814,plain,
% 13.48/9.19 (until5(s42)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[2808, 3813])).
% 13.48/9.19 tff(3815,plain,
% 13.48/9.19 (xuntil6(s51)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3213, 3814, 3765])).
% 13.48/9.19 tff(3816,plain,
% 13.48/9.19 (until5(s52)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3453, 3815])).
% 13.48/9.19 tff(3817,plain,
% 13.48/9.19 (~node4(s52)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3462, 36, 3764])).
% 13.48/9.19 tff(3818,plain,
% 13.48/9.19 (xuntil6(s52) | (~until5(s52))),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3503, 294, 3817])).
% 13.48/9.19 tff(3819,plain,
% 13.48/9.19 (xuntil6(s52)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3818, 3816])).
% 13.48/9.19 tff(3820,plain,
% 13.48/9.19 (until5(s53)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3509, 3819])).
% 13.48/9.19 tff(3821,plain,
% 13.48/9.19 (~node4(s53)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3518, 36, 3763])).
% 13.48/9.19 tff(3822,plain,
% 13.48/9.19 (xuntil6(s53) | (~until5(s53))),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3603, 294, 3821])).
% 13.48/9.19 tff(3823,plain,
% 13.48/9.19 (xuntil6(s53)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3822, 3820])).
% 13.48/9.19 tff(3824,plain,
% 13.48/9.19 (until5(s54)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3609, 3823])).
% 13.48/9.19 tff(3825,plain,
% 13.48/9.19 (~node4(s54)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3618, 36, 3762])).
% 13.48/9.19 tff(3826,plain,
% 13.48/9.19 (xuntil6(s54) | (~until5(s54))),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3659, 294, 3825])).
% 13.48/9.19 tff(3827,plain,
% 13.48/9.19 (xuntil6(s54)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3826, 3824])).
% 13.48/9.19 tff(3828,plain,
% 13.48/9.19 (until5(s55)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3665, 3827])).
% 13.48/9.19 tff(3829,plain,
% 13.48/9.19 (~node4(s55)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3674, 36, 3761])).
% 13.48/9.19 tff(3830,plain,
% 13.48/9.19 (xuntil6(s55) | (~until5(s55))),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3715, 294, 3829])).
% 13.48/9.19 tff(3831,plain,
% 13.48/9.19 (xuntil6(s55)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3830, 3828])).
% 13.48/9.19 tff(3832,plain,
% 13.48/9.19 (until5(s56)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3721, 3831])).
% 13.48/9.19 tff(3833,plain,
% 13.48/9.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3834,plain,
% 13.48/9.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3835,plain,
% 13.48/9.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3834, 3833])).
% 13.48/9.19 tff(3836,plain,
% 13.48/9.19 (~node4(s56)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3835, 36, 3760])).
% 13.48/9.19 tff(3837,plain,
% 13.48/9.19 (((~![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)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3838,plain,
% 13.48/9.19 ((node4(s56) | (~until5(s56)) | xuntil6(s56)) <=> (xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3839,plain,
% 13.48/9.19 (((~![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))))),
% 13.48/9.19 inference(monotonicity,[status(thm)],[3838])).
% 13.48/9.19 tff(3840,plain,
% 13.48/9.19 (((~![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)))),
% 13.48/9.19 inference(transitivity,[status(thm)],[3839, 3837])).
% 13.48/9.19 tff(3841,plain,
% 13.48/9.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3842,plain,
% 13.48/9.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3841, 3840])).
% 13.48/9.19 tff(3843,plain,
% 13.48/9.19 (xuntil6(s56) | (~until5(s56))),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3842, 294, 3836])).
% 13.48/9.19 tff(3844,plain,
% 13.48/9.19 (xuntil6(s56)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3843, 3832])).
% 13.48/9.19 tff(3845,plain,
% 13.48/9.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3846,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3847,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3846, 3845])).
% 13.48/9.19 tff(3848,plain,
% 13.48/9.19 ((~xuntil6(s56)) | until5(s57)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3847, 3751, 312])).
% 13.48/9.19 tff(3849,plain,
% 13.48/9.19 (until5(s57)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3848, 3844])).
% 13.48/9.19 tff(3850,plain,
% 13.48/9.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3851,plain,
% 13.48/9.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3852,plain,
% 13.48/9.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 13.48/9.19 tff(3853,plain,
% 13.48/9.19 (~node4(s57)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3852, 36, 3748])).
% 13.48/9.19 tff(3854,plain,
% 13.48/9.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s57) | node4(s57) | (~until5(s57)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3855,plain,
% 13.48/9.19 ((node4(s57) | (~until5(s57)) | xuntil6(s57)) <=> (xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3856,plain,
% 13.48/9.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s57) | node4(s57) | (~until5(s57))))),
% 13.48/9.19 inference(monotonicity,[status(thm)],[3855])).
% 13.48/9.19 tff(3857,plain,
% 13.48/9.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 13.48/9.19 inference(transitivity,[status(thm)],[3856, 3854])).
% 13.48/9.19 tff(3858,plain,
% 13.48/9.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3859,plain,
% 13.48/9.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3858, 3857])).
% 13.48/9.19 tff(3860,plain,
% 13.48/9.19 (xuntil6(s57) | (~until5(s57))),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3859, 294, 3853])).
% 13.48/9.19 tff(3861,plain,
% 13.48/9.19 (xuntil6(s57)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3860, 3849])).
% 13.48/9.19 tff(3862,plain,
% 13.48/9.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3863,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3864,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 13.48/9.19 tff(3865,plain,
% 13.48/9.19 ((~xuntil6(s57)) | until5(s58)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3864, 3739, 312])).
% 13.48/9.19 tff(3866,plain,
% 13.48/9.19 (until5(s58)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3865, 3861])).
% 13.48/9.19 tff(3867,assumption,(node4(s58)), introduced(assumption)).
% 13.48/9.19 tff(3868,plain,
% 13.48/9.19 (((~![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)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3869,plain,
% 13.48/9.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s58) | (~node4(s58)))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3870,plain,
% 13.48/9.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s58) | (~node4(s58))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3869, 3868])).
% 13.48/9.19 tff(3871,plain,
% 13.48/9.19 (m_main_v_request(s58)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3870, 21, 3867])).
% 13.48/9.19 tff(3872,plain,
% 13.48/9.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3873,plain,
% 13.48/9.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3874,plain,
% 13.48/9.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 13.48/9.19 tff(3875,plain,
% 13.48/9.19 (always3(s58)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3874, 36, 3867])).
% 13.48/9.19 tff(3876,plain,
% 13.48/9.19 (always3(s59)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3735, 3875])).
% 13.48/9.19 tff(3877,plain,
% 13.48/9.19 (((~![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)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3878,plain,
% 13.48/9.19 (((~m_main_v_state(s59, c_busy)) | (~always3(s59))) <=> ((~always3(s59)) | (~m_main_v_state(s59, c_busy)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3879,plain,
% 13.48/9.19 (((~![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))))),
% 13.48/9.19 inference(monotonicity,[status(thm)],[3878])).
% 13.48/9.19 tff(3880,plain,
% 13.48/9.19 (((~![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)))),
% 13.48/9.19 inference(transitivity,[status(thm)],[3879, 3877])).
% 13.48/9.19 tff(3881,plain,
% 13.48/9.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s59, c_busy)) | (~always3(s59)))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3882,plain,
% 13.48/9.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s59)) | (~m_main_v_state(s59, c_busy))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3881, 3880])).
% 13.48/9.19 tff(3883,plain,
% 13.48/9.19 (~m_main_v_state(s59, c_busy)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3882, 85, 3876])).
% 13.48/9.19 tff(3884,plain,
% 13.48/9.19 (((~![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))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3885,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s58, s59)) | node2(s58, s59))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3886,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s58, s59)) | node2(s58, s59)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3885, 3884])).
% 13.48/9.19 tff(3887,plain,
% 13.48/9.19 (node2(s58, s59)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3886, 7, 3731])).
% 13.48/9.19 tff(3888,plain,
% 13.48/9.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3889,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58)))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3890,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 13.48/9.19 tff(3891,plain,
% 13.48/9.19 ((~m_main_v_state(s58, c_ready)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58))),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3890, 73, 3887])).
% 13.48/9.19 tff(3892,plain,
% 13.48/9.19 (~m_main_v_state(s58, c_ready)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3891, 3883, 3871])).
% 13.48/9.19 tff(3893,plain,
% 13.48/9.19 (((~![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)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3894,plain,
% 13.48/9.19 (((~m_main_v_state(s58, c_busy)) | (~always3(s58))) <=> ((~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3895,plain,
% 13.48/9.19 (((~![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))))),
% 13.48/9.19 inference(monotonicity,[status(thm)],[3894])).
% 13.48/9.19 tff(3896,plain,
% 13.48/9.19 (((~![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)))),
% 13.48/9.19 inference(transitivity,[status(thm)],[3895, 3893])).
% 13.48/9.19 tff(3897,plain,
% 13.48/9.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3898,plain,
% 13.48/9.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3897, 3896])).
% 13.48/9.19 tff(3899,plain,
% 13.48/9.19 (~m_main_v_state(s58, c_busy)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3898, 85, 3875])).
% 13.48/9.19 tff(3900,plain,
% 13.48/9.19 (((~![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))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3901,plain,
% 13.48/9.19 ((~![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))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3902,plain,
% 13.48/9.19 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 13.48/9.19 tff(3903,plain,
% 13.48/9.19 ($false),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3902, 102, 3899, 3892])).
% 13.48/9.19 tff(3904,plain,(~node4(s58)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.19 tff(3905,plain,
% 13.48/9.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s58) | node4(s58) | (~until5(s58)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3906,plain,
% 13.48/9.19 ((node4(s58) | (~until5(s58)) | xuntil6(s58)) <=> (xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3907,plain,
% 13.48/9.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s58) | node4(s58) | (~until5(s58))))),
% 13.48/9.19 inference(monotonicity,[status(thm)],[3906])).
% 13.48/9.19 tff(3908,plain,
% 13.48/9.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 13.48/9.19 inference(transitivity,[status(thm)],[3907, 3905])).
% 13.48/9.19 tff(3909,plain,
% 13.48/9.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3910,plain,
% 13.48/9.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58))),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3909, 3908])).
% 13.48/9.19 tff(3911,plain,
% 13.48/9.19 (xuntil6(s58) | (~until5(s58))),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3910, 294, 3904])).
% 13.48/9.19 tff(3912,plain,
% 13.48/9.19 (xuntil6(s58)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3911, 3866])).
% 13.48/9.19 tff(3913,plain,
% 13.48/9.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3914,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3915,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3914, 3913])).
% 13.48/9.19 tff(3916,plain,
% 13.48/9.19 ((~xuntil6(s58)) | until5(s59)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3915, 3727, 312])).
% 13.48/9.19 tff(3917,plain,
% 13.48/9.19 (until5(s59)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3916, 3912])).
% 13.48/9.19 tff(3918,assumption,(~always3(s62)), introduced(assumption)).
% 13.48/9.19 tff(3919,plain,
% 13.48/9.19 (succ(s61, s62) <=> succ(s61, s62)),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3920,axiom,(succ(s61, s62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound62')).
% 13.48/9.19 tff(3921,plain,
% 13.48/9.19 (succ(s61, s62)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 13.48/9.19 tff(3922,plain,
% 13.48/9.19 (((~![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))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3923,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3924,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 13.48/9.19 tff(3925,plain,
% 13.48/9.19 (trans(s61, s62)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3924, 3921, 52])).
% 13.48/9.19 tff(3926,plain,
% 13.48/9.19 (((~![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))),
% 13.48/9.19 inference(rewrite,[status(thm)],[])).
% 13.48/9.19 tff(3927,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s61, s62)) | (~always3(s61)) | always3(s62))),
% 13.48/9.19 inference(quant_inst,[status(thm)],[])).
% 13.48/9.19 tff(3928,plain,
% 13.48/9.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s61, s62)) | (~always3(s61)) | always3(s62)),
% 13.48/9.19 inference(modus_ponens,[status(thm)],[3927, 3926])).
% 13.48/9.19 tff(3929,plain,
% 13.48/9.19 ((~always3(s61)) | always3(s62)),
% 13.48/9.19 inference(unit_resolution,[status(thm)],[3928, 125, 3925])).
% 13.48/9.20 tff(3930,plain,
% 13.48/9.20 (~always3(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3929, 3918])).
% 13.48/9.20 tff(3931,plain,
% 13.48/9.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3932,plain,
% 13.48/9.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3933,plain,
% 13.48/9.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 13.48/9.20 tff(3934,plain,
% 13.48/9.20 (~node4(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3933, 36, 3930])).
% 13.48/9.20 tff(3935,plain,
% 13.48/9.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s62) | (~node4(s62)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s62) | (~node4(s62)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3936,plain,
% 13.48/9.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s62) | (~node4(s62)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3937,plain,
% 13.48/9.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s62) | (~node4(s62))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 13.48/9.20 tff(3938,plain,
% 13.48/9.20 (~node4(s62)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3937, 36, 3918])).
% 13.48/9.20 tff(3939,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s62) | node4(s62) | (~until5(s62)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3940,plain,
% 13.48/9.20 ((node4(s62) | (~until5(s62)) | xuntil6(s62)) <=> (xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3941,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s62) | node4(s62) | (~until5(s62))))),
% 13.48/9.20 inference(monotonicity,[status(thm)],[3940])).
% 13.48/9.20 tff(3942,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 13.48/9.20 inference(transitivity,[status(thm)],[3941, 3939])).
% 13.48/9.20 tff(3943,plain,
% 13.48/9.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3944,plain,
% 13.48/9.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3943, 3942])).
% 13.48/9.20 tff(3945,plain,
% 13.48/9.20 (node4(s62) | (~until5(s62))),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3944, 294, 3723])).
% 13.48/9.20 tff(3946,plain,
% 13.48/9.20 (~until5(s62)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3945, 3938])).
% 13.48/9.20 tff(3947,plain,
% 13.48/9.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3948,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3949,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3948, 3947])).
% 13.48/9.20 tff(3950,plain,
% 13.48/9.20 ((~xuntil6(s61)) | until5(s62)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3949, 3921, 312])).
% 13.48/9.20 tff(3951,plain,
% 13.48/9.20 (~xuntil6(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3950, 3946])).
% 13.48/9.20 tff(3952,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s61) | node4(s61) | (~until5(s61)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3953,plain,
% 13.48/9.20 ((node4(s61) | (~until5(s61)) | xuntil6(s61)) <=> (xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3954,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s61) | (~until5(s61)) | xuntil6(s61))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s61) | node4(s61) | (~until5(s61))))),
% 13.48/9.20 inference(monotonicity,[status(thm)],[3953])).
% 13.48/9.20 tff(3955,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s61) | (~until5(s61)) | xuntil6(s61))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 13.48/9.20 inference(transitivity,[status(thm)],[3954, 3952])).
% 13.48/9.20 tff(3956,plain,
% 13.48/9.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s61) | (~until5(s61)) | xuntil6(s61))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3957,plain,
% 13.48/9.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3956, 3955])).
% 13.48/9.20 tff(3958,plain,
% 13.48/9.20 (~until5(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3957, 294, 3951, 3934])).
% 13.48/9.20 tff(3959,plain,
% 13.48/9.20 (succ(s60, s61) <=> succ(s60, s61)),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3960,axiom,(succ(s60, s61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound61')).
% 13.48/9.20 tff(3961,plain,
% 13.48/9.20 (succ(s60, s61)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3960, 3959])).
% 13.48/9.20 tff(3962,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3963,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3964,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3963, 3962])).
% 13.48/9.20 tff(3965,plain,
% 13.48/9.20 (trans(s60, s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3964, 3961, 52])).
% 13.48/9.20 tff(3966,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3967,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s60, s61)) | (~always3(s60)) | always3(s61))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3968,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s60, s61)) | (~always3(s60)) | always3(s61)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 13.48/9.20 tff(3969,plain,
% 13.48/9.20 ((~always3(s60)) | always3(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3968, 125, 3965])).
% 13.48/9.20 tff(3970,plain,
% 13.48/9.20 (~always3(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3969, 3930])).
% 13.48/9.20 tff(3971,plain,
% 13.48/9.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3972,plain,
% 13.48/9.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3973,plain,
% 13.48/9.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3972, 3971])).
% 13.48/9.20 tff(3974,plain,
% 13.48/9.20 (~node4(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3973, 36, 3970])).
% 13.48/9.20 tff(3975,plain,
% 13.48/9.20 (succ(s59, s60) <=> succ(s59, s60)),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3976,axiom,(succ(s59, s60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound60')).
% 13.48/9.20 tff(3977,plain,
% 13.48/9.20 (succ(s59, s60)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 13.48/9.20 tff(3978,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3979,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3980,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 13.48/9.20 tff(3981,plain,
% 13.48/9.20 (trans(s59, s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3980, 3977, 52])).
% 13.48/9.20 tff(3982,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3983,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s59, s60)) | (~always3(s59)) | always3(s60))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3984,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s59, s60)) | (~always3(s59)) | always3(s60)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 13.48/9.20 tff(3985,plain,
% 13.48/9.20 ((~always3(s59)) | always3(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3984, 125, 3981])).
% 13.48/9.20 tff(3986,plain,
% 13.48/9.20 (~always3(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3985, 3970])).
% 13.48/9.20 tff(3987,plain,
% 13.48/9.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3988,plain,
% 13.48/9.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3989,plain,
% 13.48/9.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 13.48/9.20 tff(3990,plain,
% 13.48/9.20 (~node4(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3989, 36, 3986])).
% 13.48/9.20 tff(3991,assumption,(until5(s59)), introduced(assumption)).
% 13.48/9.20 tff(3992,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s59) | node4(s59) | (~until5(s59)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3993,plain,
% 13.48/9.20 ((node4(s59) | (~until5(s59)) | xuntil6(s59)) <=> (xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(3994,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s59) | node4(s59) | (~until5(s59))))),
% 13.48/9.20 inference(monotonicity,[status(thm)],[3993])).
% 13.48/9.20 tff(3995,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 13.48/9.20 inference(transitivity,[status(thm)],[3994, 3992])).
% 13.48/9.20 tff(3996,plain,
% 13.48/9.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(3997,plain,
% 13.48/9.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 13.48/9.20 tff(3998,plain,
% 13.48/9.20 (xuntil6(s59) | node4(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3997, 294, 3991])).
% 13.48/9.20 tff(3999,plain,
% 13.48/9.20 (xuntil6(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3998, 3990])).
% 13.48/9.20 tff(4000,plain,
% 13.48/9.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4001,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4002,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4001, 4000])).
% 13.48/9.20 tff(4003,plain,
% 13.48/9.20 ((~xuntil6(s59)) | until5(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4002, 3977, 312])).
% 13.48/9.20 tff(4004,plain,
% 13.48/9.20 (until5(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4003, 3999])).
% 13.48/9.20 tff(4005,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s60) | node4(s60) | (~until5(s60)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4006,plain,
% 13.48/9.20 ((node4(s60) | (~until5(s60)) | xuntil6(s60)) <=> (xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4007,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s60) | (~until5(s60)) | xuntil6(s60))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s60) | node4(s60) | (~until5(s60))))),
% 13.48/9.20 inference(monotonicity,[status(thm)],[4006])).
% 13.48/9.20 tff(4008,plain,
% 13.48/9.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s60) | (~until5(s60)) | xuntil6(s60))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 13.48/9.20 inference(transitivity,[status(thm)],[4007, 4005])).
% 13.48/9.20 tff(4009,plain,
% 13.48/9.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s60) | (~until5(s60)) | xuntil6(s60))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4010,plain,
% 13.48/9.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s60) | node4(s60) | (~until5(s60))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4009, 4008])).
% 13.48/9.20 tff(4011,plain,
% 13.48/9.20 (xuntil6(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4010, 294, 4004, 3974])).
% 13.48/9.20 tff(4012,plain,
% 13.48/9.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4013,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4014,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4013, 4012])).
% 13.48/9.20 tff(4015,plain,
% 13.48/9.20 ((~xuntil6(s60)) | until5(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4014, 3961, 312])).
% 13.48/9.20 tff(4016,plain,
% 13.48/9.20 ($false),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4015, 4011, 3958])).
% 13.48/9.20 tff(4017,plain,(always3(s62) | (~until5(s59)) | xuntil6(s62)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.20 tff(4018,plain,
% 13.48/9.20 (always3(s62)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4017, 3917, 3723])).
% 13.48/9.20 tff(4019,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4020,plain,
% 13.48/9.20 (((~m_main_v_state(s62, c_busy)) | (~always3(s62))) <=> ((~always3(s62)) | (~m_main_v_state(s62, c_busy)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4021,plain,
% 13.48/9.20 (((~![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))))),
% 13.48/9.20 inference(monotonicity,[status(thm)],[4020])).
% 13.48/9.20 tff(4022,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(transitivity,[status(thm)],[4021, 4019])).
% 13.48/9.20 tff(4023,plain,
% 13.48/9.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s62, c_busy)) | (~always3(s62)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4024,plain,
% 13.48/9.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s62)) | (~m_main_v_state(s62, c_busy))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4023, 4022])).
% 13.48/9.20 tff(4025,plain,
% 13.48/9.20 (~m_main_v_state(s62, c_busy)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4024, 85, 4018])).
% 13.48/9.20 tff(4026,assumption,(~m_main_v_state(s62, c_busy)), introduced(assumption)).
% 13.48/9.20 tff(4027,assumption,(node4(s61)), introduced(assumption)).
% 13.48/9.20 tff(4028,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4029,plain,
% 13.48/9.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s61) | (~node4(s61)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4030,plain,
% 13.48/9.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s61) | (~node4(s61))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 13.48/9.20 tff(4031,plain,
% 13.48/9.20 (m_main_v_request(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4030, 21, 4027])).
% 13.48/9.20 tff(4032,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4033,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s61, s62)) | node2(s61, s62))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4034,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s61, s62)) | node2(s61, s62)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4033, 4032])).
% 13.48/9.20 tff(4035,plain,
% 13.48/9.20 (node2(s61, s62)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4034, 7, 3925])).
% 13.48/9.20 tff(4036,plain,
% 13.48/9.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4037,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4038,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4037, 4036])).
% 13.48/9.20 tff(4039,plain,
% 13.48/9.20 ((~m_main_v_state(s61, c_ready)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61))),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4038, 73, 4035])).
% 13.48/9.20 tff(4040,plain,
% 13.48/9.20 (~m_main_v_state(s61, c_ready)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4039, 4031, 4026])).
% 13.48/9.20 tff(4041,plain,
% 13.48/9.20 (always3(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3933, 36, 4027])).
% 13.48/9.20 tff(4042,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4043,plain,
% 13.48/9.20 (((~m_main_v_state(s61, c_busy)) | (~always3(s61))) <=> ((~always3(s61)) | (~m_main_v_state(s61, c_busy)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4044,plain,
% 13.48/9.20 (((~![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))))),
% 13.48/9.20 inference(monotonicity,[status(thm)],[4043])).
% 13.48/9.20 tff(4045,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(transitivity,[status(thm)],[4044, 4042])).
% 13.48/9.20 tff(4046,plain,
% 13.48/9.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s61, c_busy)) | (~always3(s61)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4047,plain,
% 13.48/9.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s61)) | (~m_main_v_state(s61, c_busy))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 13.48/9.20 tff(4048,plain,
% 13.48/9.20 (~m_main_v_state(s61, c_busy)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4047, 85, 4041])).
% 13.48/9.20 tff(4049,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4050,plain,
% 13.48/9.20 ((~![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))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4051,plain,
% 13.48/9.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 13.48/9.20 tff(4052,plain,
% 13.48/9.20 ($false),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4051, 102, 4048, 4040])).
% 13.48/9.20 tff(4053,plain,((~node4(s61)) | m_main_v_state(s62, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.20 tff(4054,plain,
% 13.48/9.20 (~node4(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4053, 4025])).
% 13.48/9.20 tff(4055,plain,
% 13.48/9.20 (succ(s62, s63) <=> succ(s62, s63)),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4056,axiom,(succ(s62, s63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound63')).
% 13.48/9.20 tff(4057,plain,
% 13.48/9.20 (succ(s62, s63)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 13.48/9.20 tff(4058,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4059,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4060,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4059, 4058])).
% 13.48/9.20 tff(4061,plain,
% 13.48/9.20 (trans(s62, s63)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4060, 4057, 52])).
% 13.48/9.20 tff(4062,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4063,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s62, s63)) | (~always3(s62)) | always3(s63))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4064,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s62, s63)) | (~always3(s62)) | always3(s63)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4063, 4062])).
% 13.48/9.20 tff(4065,plain,
% 13.48/9.20 ((~always3(s62)) | always3(s63)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4064, 125, 4061])).
% 13.48/9.20 tff(4066,plain,
% 13.48/9.20 (always3(s63)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4065, 4018])).
% 13.48/9.20 tff(4067,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4068,plain,
% 13.48/9.20 (((~m_main_v_state(s63, c_busy)) | (~always3(s63))) <=> ((~always3(s63)) | (~m_main_v_state(s63, c_busy)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4069,plain,
% 13.48/9.20 (((~![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))))),
% 13.48/9.20 inference(monotonicity,[status(thm)],[4068])).
% 13.48/9.20 tff(4070,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(transitivity,[status(thm)],[4069, 4067])).
% 13.48/9.20 tff(4071,plain,
% 13.48/9.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s63, c_busy)) | (~always3(s63)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4072,plain,
% 13.48/9.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s63)) | (~m_main_v_state(s63, c_busy))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4071, 4070])).
% 13.48/9.20 tff(4073,plain,
% 13.48/9.20 (~m_main_v_state(s63, c_busy)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4072, 85, 4066])).
% 13.48/9.20 tff(4074,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4075,plain,
% 13.48/9.20 ((~![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))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4076,plain,
% 13.48/9.20 ((~![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)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4075, 4074])).
% 13.48/9.20 tff(4077,plain,
% 13.48/9.20 (m_main_v_state(s62, c_ready)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4076, 102, 4025])).
% 13.48/9.20 tff(4078,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4079,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s62, s63)) | node2(s62, s63))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4080,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s62, s63)) | node2(s62, s63)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 13.48/9.20 tff(4081,plain,
% 13.48/9.20 (node2(s62, s63)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4080, 7, 4061])).
% 13.48/9.20 tff(4082,plain,
% 13.48/9.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4083,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4084,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 13.48/9.20 tff(4085,plain,
% 13.48/9.20 ((~m_main_v_state(s62, c_ready)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62))),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4084, 73, 4081])).
% 13.48/9.20 tff(4086,plain,
% 13.48/9.20 (~m_main_v_request(s62)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4085, 4077, 4073])).
% 13.48/9.20 tff(4087,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4088,plain,
% 13.48/9.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s62) | (~node4(s62)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4089,plain,
% 13.48/9.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s62) | (~node4(s62))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4088, 4087])).
% 13.48/9.20 tff(4090,plain,
% 13.48/9.20 (~node4(s62)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4089, 21, 4086])).
% 13.48/9.20 tff(4091,plain,
% 13.48/9.20 (~until5(s62)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3945, 4090])).
% 13.48/9.20 tff(4092,plain,
% 13.48/9.20 (~xuntil6(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3950, 4091])).
% 13.48/9.20 tff(4093,plain,
% 13.48/9.20 (~until5(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3957, 294, 4092, 4054])).
% 13.48/9.20 tff(4094,plain,
% 13.48/9.20 (~xuntil6(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4015, 4093])).
% 13.48/9.20 tff(4095,assumption,(~always3(s60)), introduced(assumption)).
% 13.48/9.20 tff(4096,plain,
% 13.48/9.20 (~node4(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3973, 36, 4095])).
% 13.48/9.20 tff(4097,assumption,(~xuntil6(s60)), introduced(assumption)).
% 13.48/9.20 tff(4098,plain,
% 13.48/9.20 (node4(s60) | (~until5(s60))),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4010, 294, 4097])).
% 13.48/9.20 tff(4099,plain,
% 13.48/9.20 (~until5(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4098, 4096])).
% 13.48/9.20 tff(4100,plain,
% 13.48/9.20 (~always3(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3985, 4095])).
% 13.48/9.20 tff(4101,plain,
% 13.48/9.20 (~node4(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3989, 36, 4100])).
% 13.48/9.20 tff(4102,plain,
% 13.48/9.20 (xuntil6(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3998, 4101])).
% 13.48/9.20 tff(4103,plain,
% 13.48/9.20 ($false),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4003, 4102, 4099])).
% 13.48/9.20 tff(4104,plain,(always3(s60) | (~until5(s59)) | xuntil6(s60)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.20 tff(4105,plain,
% 13.48/9.20 (always3(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4104, 4094, 3917])).
% 13.48/9.20 tff(4106,plain,
% 13.48/9.20 (always3(s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3969, 4105])).
% 13.48/9.20 tff(4107,plain,
% 13.48/9.20 (~m_main_v_state(s61, c_busy)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4047, 85, 4106])).
% 13.48/9.20 tff(4108,plain,
% 13.48/9.20 (~node4(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3989, 36, 3724])).
% 13.48/9.20 tff(4109,plain,
% 13.48/9.20 (xuntil6(s59) | (~until5(s59))),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[3997, 294, 4108])).
% 13.48/9.20 tff(4110,plain,
% 13.48/9.20 (xuntil6(s59)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4109, 3917])).
% 13.48/9.20 tff(4111,plain,
% 13.48/9.20 (until5(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4003, 4110])).
% 13.48/9.20 tff(4112,plain,
% 13.48/9.20 (xuntil6(s60) | node4(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4010, 294, 4111])).
% 13.48/9.20 tff(4113,plain,
% 13.48/9.20 (node4(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4112, 4094])).
% 13.48/9.20 tff(4114,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4115,plain,
% 13.48/9.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s60) | (~node4(s60)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4116,plain,
% 13.48/9.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s60) | (~node4(s60))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 13.48/9.20 tff(4117,plain,
% 13.48/9.20 (m_main_v_request(s60)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4116, 21, 4113])).
% 13.48/9.20 tff(4118,plain,
% 13.48/9.20 (((~![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))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4119,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s60, s61)) | node2(s60, s61))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4120,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s60, s61)) | node2(s60, s61)),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 13.48/9.20 tff(4121,plain,
% 13.48/9.20 (node2(s60, s61)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4120, 7, 3965])).
% 13.48/9.20 tff(4122,plain,
% 13.48/9.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4123,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60)))),
% 13.48/9.20 inference(quant_inst,[status(thm)],[])).
% 13.48/9.20 tff(4124,plain,
% 13.48/9.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60))),
% 13.48/9.20 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 13.48/9.20 tff(4125,plain,
% 13.48/9.20 ((~m_main_v_state(s60, c_ready)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60))),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4124, 73, 4121])).
% 13.48/9.20 tff(4126,plain,
% 13.48/9.20 (~m_main_v_state(s60, c_ready)),
% 13.48/9.20 inference(unit_resolution,[status(thm)],[4125, 4117, 4107])).
% 13.48/9.20 tff(4127,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4128,plain,
% 13.48/9.20 (((~m_main_v_state(s60, c_busy)) | (~always3(s60))) <=> ((~always3(s60)) | (~m_main_v_state(s60, c_busy)))),
% 13.48/9.20 inference(rewrite,[status(thm)],[])).
% 13.48/9.20 tff(4129,plain,
% 13.48/9.20 (((~![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))))),
% 13.48/9.20 inference(monotonicity,[status(thm)],[4128])).
% 13.48/9.20 tff(4130,plain,
% 13.48/9.20 (((~![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)))),
% 13.48/9.21 inference(transitivity,[status(thm)],[4129, 4127])).
% 13.48/9.21 tff(4131,plain,
% 13.48/9.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s60, c_busy)) | (~always3(s60)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4132,plain,
% 13.48/9.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s60)) | (~m_main_v_state(s60, c_busy))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 13.48/9.21 tff(4133,plain,
% 13.48/9.21 (~m_main_v_state(s60, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4132, 85, 4105])).
% 13.48/9.21 tff(4134,plain,
% 13.48/9.21 (((~![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))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4135,plain,
% 13.48/9.21 ((~![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))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4136,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready)),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4135, 4134])).
% 13.48/9.21 tff(4137,plain,
% 13.48/9.21 ($false),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4136, 102, 4133, 4126])).
% 13.48/9.21 tff(4138,plain,(always3(s59) | xuntil6(s62)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.21 tff(4139,plain,
% 13.48/9.21 (always3(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4138, 3723])).
% 13.48/9.21 tff(4140,plain,
% 13.48/9.21 (always3(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3985, 4139])).
% 13.48/9.21 tff(4141,plain,
% 13.48/9.21 (always3(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3969, 4140])).
% 13.48/9.21 tff(4142,plain,
% 13.48/9.21 (always3(s62)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3929, 4141])).
% 13.48/9.21 tff(4143,plain,
% 13.48/9.21 (~m_main_v_state(s62, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4024, 85, 4142])).
% 13.48/9.21 tff(4144,plain,
% 13.48/9.21 (~node4(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4053, 4143])).
% 13.48/9.21 tff(4145,plain,
% 13.48/9.21 (always3(s63)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4065, 4142])).
% 13.48/9.21 tff(4146,plain,
% 13.48/9.21 (~m_main_v_state(s63, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4072, 85, 4145])).
% 13.48/9.21 tff(4147,assumption,(node1(s61)), introduced(assumption)).
% 13.48/9.21 tff(4148,plain,
% 13.48/9.21 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s61, c_ready) | (~node1(s61)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s61, c_ready) | (~node1(s61)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4149,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s61, c_ready) | (~node1(s61)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4150,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s61, c_ready) | (~node1(s61))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4149, 4148])).
% 13.48/9.21 tff(4151,plain,
% 13.48/9.21 (m_main_v_state(s61, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4150, 3581, 4147])).
% 13.48/9.21 tff(4152,plain,
% 13.48/9.21 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s61) | (~node1(s61)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s61) | (~node1(s61)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4153,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s61) | (~node1(s61)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4154,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s61) | (~node1(s61))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4153, 4152])).
% 13.48/9.21 tff(4155,plain,
% 13.48/9.21 (m_main_v_request(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4154, 3568, 4147])).
% 13.48/9.21 tff(4156,plain,
% 13.48/9.21 ($false),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4039, 4155, 4151, 4026])).
% 13.48/9.21 tff(4157,plain,((~node1(s61)) | m_main_v_state(s62, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.21 tff(4158,plain,
% 13.48/9.21 (~node1(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4157, 4143])).
% 13.48/9.21 tff(4159,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s61, s62)) | m_main_v_state(s62, c_busy) | node1(s61) | m_main_v_state(s62, 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(s61, s62)) | m_main_v_state(s62, c_busy) | node1(s61) | m_main_v_state(s62, c_ready))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4160,plain,
% 13.48/9.21 ((node1(s61) | m_main_v_state(s62, c_ready) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy)) <=> ((~node2(s61, s62)) | m_main_v_state(s62, c_busy) | node1(s61) | m_main_v_state(s62, c_ready))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4161,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s61) | m_main_v_state(s62, c_ready) | (~node2(s61, s62)) | m_main_v_state(s62, 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(s61, s62)) | m_main_v_state(s62, c_busy) | node1(s61) | m_main_v_state(s62, c_ready)))),
% 13.48/9.21 inference(monotonicity,[status(thm)],[4160])).
% 13.48/9.21 tff(4162,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s61) | m_main_v_state(s62, c_ready) | (~node2(s61, s62)) | m_main_v_state(s62, 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(s61, s62)) | m_main_v_state(s62, c_busy) | node1(s61) | m_main_v_state(s62, c_ready))),
% 13.48/9.21 inference(transitivity,[status(thm)],[4161, 4159])).
% 13.48/9.21 tff(4163,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s61) | m_main_v_state(s62, c_ready) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4164,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | node1(s61) | m_main_v_state(s62, c_ready)),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 13.48/9.21 tff(4165,plain,
% 13.48/9.21 (m_main_v_state(s62, c_busy) | node1(s61) | m_main_v_state(s62, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4164, 3551, 4035])).
% 13.48/9.21 tff(4166,plain,
% 13.48/9.21 (m_main_v_state(s62, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4165, 4158, 4143])).
% 13.48/9.21 tff(4167,plain,
% 13.48/9.21 (~m_main_v_request(s62)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4085, 4166, 4146])).
% 13.48/9.21 tff(4168,plain,
% 13.48/9.21 (~node4(s62)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4089, 21, 4167])).
% 13.48/9.21 tff(4169,plain,
% 13.48/9.21 (~until5(s62)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3945, 4168])).
% 13.48/9.21 tff(4170,plain,
% 13.48/9.21 (~xuntil6(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3950, 4169])).
% 13.48/9.21 tff(4171,plain,
% 13.48/9.21 (~until5(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3957, 294, 4170, 4144])).
% 13.48/9.21 tff(4172,plain,
% 13.48/9.21 (~xuntil6(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4015, 4171])).
% 13.48/9.21 tff(4173,plain,
% 13.48/9.21 (~m_main_v_state(s61, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4047, 85, 4141])).
% 13.48/9.21 tff(4174,plain,
% 13.48/9.21 (~m_main_v_state(s60, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4132, 85, 4140])).
% 13.48/9.21 tff(4175,assumption,(~m_main_v_state(s60, c_busy)), introduced(assumption)).
% 13.48/9.21 tff(4176,assumption,(node1(s59)), introduced(assumption)).
% 13.48/9.21 tff(4177,plain,
% 13.48/9.21 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s59, c_ready) | (~node1(s59)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s59, c_ready) | (~node1(s59)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4178,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s59, c_ready) | (~node1(s59)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4179,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s59, c_ready) | (~node1(s59))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 13.48/9.21 tff(4180,plain,
% 13.48/9.21 (m_main_v_state(s59, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4179, 3581, 4176])).
% 13.48/9.21 tff(4181,plain,
% 13.48/9.21 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s59) | (~node1(s59)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s59) | (~node1(s59)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4182,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s59) | (~node1(s59)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4183,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s59) | (~node1(s59))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4182, 4181])).
% 13.48/9.21 tff(4184,plain,
% 13.48/9.21 (m_main_v_request(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4183, 3568, 4176])).
% 13.48/9.21 tff(4185,plain,
% 13.48/9.21 (((~![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))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4186,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s59, s60)) | node2(s59, s60))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4187,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s59, s60)) | node2(s59, s60)),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4186, 4185])).
% 13.48/9.21 tff(4188,plain,
% 13.48/9.21 (node2(s59, s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4187, 7, 3981])).
% 13.48/9.21 tff(4189,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4190,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4191,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4190, 4189])).
% 13.48/9.21 tff(4192,plain,
% 13.48/9.21 ((~m_main_v_state(s59, c_ready)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4191, 73, 4188])).
% 13.48/9.21 tff(4193,plain,
% 13.48/9.21 ($false),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4192, 4184, 4180, 4175])).
% 13.48/9.21 tff(4194,plain,((~node1(s59)) | m_main_v_state(s60, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.21 tff(4195,plain,
% 13.48/9.21 (~node1(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4194, 4174])).
% 13.48/9.21 tff(4196,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s59, s60)) | m_main_v_state(s60, c_busy) | node1(s59) | m_main_v_state(s60, 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(s59, s60)) | m_main_v_state(s60, c_busy) | node1(s59) | m_main_v_state(s60, c_ready))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4197,plain,
% 13.48/9.21 ((node1(s59) | m_main_v_state(s60, c_ready) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy)) <=> ((~node2(s59, s60)) | m_main_v_state(s60, c_busy) | node1(s59) | m_main_v_state(s60, c_ready))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4198,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s59) | m_main_v_state(s60, c_ready) | (~node2(s59, s60)) | m_main_v_state(s60, 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(s59, s60)) | m_main_v_state(s60, c_busy) | node1(s59) | m_main_v_state(s60, c_ready)))),
% 13.48/9.21 inference(monotonicity,[status(thm)],[4197])).
% 13.48/9.21 tff(4199,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s59) | m_main_v_state(s60, c_ready) | (~node2(s59, s60)) | m_main_v_state(s60, 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(s59, s60)) | m_main_v_state(s60, c_busy) | node1(s59) | m_main_v_state(s60, c_ready))),
% 13.48/9.21 inference(transitivity,[status(thm)],[4198, 4196])).
% 13.48/9.21 tff(4200,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s59) | m_main_v_state(s60, c_ready) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4201,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | node1(s59) | m_main_v_state(s60, c_ready)),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 13.48/9.21 tff(4202,plain,
% 13.48/9.21 (m_main_v_state(s60, c_busy) | node1(s59) | m_main_v_state(s60, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4201, 3551, 4188])).
% 13.48/9.21 tff(4203,plain,
% 13.48/9.21 (m_main_v_state(s60, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4202, 4174, 4195])).
% 13.48/9.21 tff(4204,plain,
% 13.48/9.21 (~m_main_v_request(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4125, 4203, 4173])).
% 13.48/9.21 tff(4205,plain,
% 13.48/9.21 (~node4(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4116, 21, 4204])).
% 13.48/9.21 tff(4206,plain,
% 13.48/9.21 (xuntil6(s60) | (~until5(s60))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4010, 294, 4205])).
% 13.48/9.21 tff(4207,plain,
% 13.48/9.21 (~until5(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4206, 4172])).
% 13.48/9.21 tff(4208,plain,
% 13.48/9.21 (~xuntil6(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4003, 4207])).
% 13.48/9.21 tff(4209,assumption,(~m_main_v_state(s58, c_ready)), introduced(assumption)).
% 13.48/9.21 tff(4210,plain,
% 13.48/9.21 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s58, c_ready) | (~node1(s58)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s58, c_ready) | (~node1(s58)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4211,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s58, c_ready) | (~node1(s58)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4212,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s58, c_ready) | (~node1(s58))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4211, 4210])).
% 13.48/9.21 tff(4213,plain,
% 13.48/9.21 (~node1(s58)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4212, 3581, 4209])).
% 13.48/9.21 tff(4214,assumption,(~m_main_v_state(s58, c_busy)), introduced(assumption)).
% 13.48/9.21 tff(4215,plain,
% 13.48/9.21 ($false),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3902, 102, 4214, 4209])).
% 13.48/9.21 tff(4216,plain,(m_main_v_state(s58, c_ready) | m_main_v_state(s58, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.21 tff(4217,plain,
% 13.48/9.21 (m_main_v_state(s58, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4216, 4209])).
% 13.48/9.21 tff(4218,plain,
% 13.48/9.21 (~always3(s58)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3898, 85, 4217])).
% 13.48/9.21 tff(4219,plain,
% 13.48/9.21 (~always3(s57)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3747, 4218])).
% 13.48/9.21 tff(4220,plain,
% 13.48/9.21 (~always3(s56)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3759, 4219])).
% 13.48/9.21 tff(4221,plain,
% 13.48/9.21 (~always3(s55)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3686, 4220])).
% 13.48/9.21 tff(4222,plain,
% 13.48/9.21 (~always3(s54)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3630, 4221])).
% 13.48/9.21 tff(4223,plain,
% 13.48/9.21 (~always3(s53)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3530, 4222])).
% 13.48/9.21 tff(4224,plain,
% 13.48/9.21 (~always3(s52)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3474, 4223])).
% 13.48/9.21 tff(4225,plain,
% 13.48/9.21 (~always3(s51)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3232, 4224])).
% 13.48/9.21 tff(4226,plain,
% 13.48/9.21 (~always3(s50)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3048, 4225])).
% 13.48/9.21 tff(4227,plain,
% 13.48/9.21 (~always3(s49)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3093, 4226])).
% 13.48/9.21 tff(4228,plain,
% 13.48/9.21 (~always3(s48)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3122, 4227])).
% 13.48/9.21 tff(4229,plain,
% 13.48/9.21 (~always3(s47)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3151, 4228])).
% 13.48/9.21 tff(4230,plain,
% 13.48/9.21 (~always3(s46)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3175, 4229])).
% 13.48/9.21 tff(4231,plain,
% 13.48/9.21 (~always3(s45)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3000, 4230])).
% 13.48/9.21 tff(4232,plain,
% 13.48/9.21 (~always3(s44)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2944, 4231])).
% 13.48/9.21 tff(4233,plain,
% 13.48/9.21 (~always3(s43)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2888, 4232])).
% 13.48/9.21 tff(4234,plain,
% 13.48/9.21 (~always3(s42)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2832, 4233])).
% 13.48/9.21 tff(4235,plain,
% 13.48/9.21 (~always3(s41)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2773, 4234])).
% 13.48/9.21 tff(4236,plain,
% 13.48/9.21 (~node4(s41)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2761, 36, 4235])).
% 13.48/9.21 tff(4237,plain,
% 13.48/9.21 (~always3(s40)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2699, 4235])).
% 13.48/9.21 tff(4238,plain,
% 13.48/9.21 (~always3(s39)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2661, 4237])).
% 13.48/9.21 tff(4239,plain,
% 13.48/9.21 (~always3(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2599, 4238])).
% 13.48/9.21 tff(4240,plain,
% 13.48/9.21 (~node4(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2587, 36, 4239])).
% 13.48/9.21 tff(4241,plain,
% 13.48/9.21 (~always3(s37)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1912, 4239])).
% 13.48/9.21 tff(4242,plain,
% 13.48/9.21 (~always3(s36)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1333, 4241])).
% 13.48/9.21 tff(4243,plain,
% 13.48/9.21 (~always3(s35)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1378, 4242])).
% 13.48/9.21 tff(4244,plain,
% 13.48/9.21 (~always3(s34)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1407, 4243])).
% 13.48/9.21 tff(4245,plain,
% 13.48/9.21 (~always3(s33)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1436, 4244])).
% 13.48/9.21 tff(4246,plain,
% 13.48/9.21 (~always3(s32)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[200, 4245])).
% 13.48/9.21 tff(4247,plain,
% 13.48/9.21 (~always3(s31)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1480, 4246])).
% 13.48/9.21 tff(4248,plain,
% 13.48/9.21 (~always3(s30)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[249, 4247])).
% 13.48/9.21 tff(4249,plain,
% 13.48/9.21 (~always3(s29)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1524, 4248])).
% 13.48/9.21 tff(4250,plain,
% 13.48/9.21 (~always3(s28)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[151, 4249])).
% 13.48/9.21 tff(4251,plain,
% 13.48/9.21 (~always3(s27)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1568, 4250])).
% 13.48/9.21 tff(4252,plain,
% 13.48/9.21 (~always3(s26)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1592, 4251])).
% 13.48/9.21 tff(4253,plain,
% 13.48/9.21 (~always3(s25)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1604, 4252])).
% 13.48/9.21 tff(4254,plain,
% 13.48/9.21 (~always3(s24)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1616, 4253])).
% 13.48/9.21 tff(4255,plain,
% 13.48/9.21 (~always3(s23)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1628, 4254])).
% 13.48/9.21 tff(4256,plain,
% 13.48/9.21 (~always3(s22)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1640, 4255])).
% 13.48/9.21 tff(4257,plain,
% 13.48/9.21 (~always3(s21)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1652, 4256])).
% 13.48/9.21 tff(4258,plain,
% 13.48/9.21 (~always3(s20)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1664, 4257])).
% 13.48/9.21 tff(4259,plain,
% 13.48/9.21 (~always3(s19)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1676, 4258])).
% 13.48/9.21 tff(4260,plain,
% 13.48/9.21 (~always3(s18)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1688, 4259])).
% 13.48/9.21 tff(4261,plain,
% 13.48/9.21 (~always3(s17)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1700, 4260])).
% 13.48/9.21 tff(4262,plain,
% 13.48/9.21 (~always3(s16)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1716, 4261])).
% 13.48/9.21 tff(4263,plain,
% 13.48/9.21 (~always3(s15)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1259, 4262])).
% 13.48/9.21 tff(4264,plain,
% 13.48/9.21 (xuntil6(s15)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1240, 4263])).
% 13.48/9.21 tff(4265,plain,
% 13.48/9.21 (until5(s16)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1318, 4264])).
% 13.48/9.21 tff(4266,plain,
% 13.48/9.21 (xuntil6(s37)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1900, 4265, 4241])).
% 13.48/9.21 tff(4267,plain,
% 13.48/9.21 (until5(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2578, 4266])).
% 13.48/9.21 tff(4268,plain,
% 13.48/9.21 (xuntil6(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2628, 294, 4267, 4240])).
% 13.48/9.21 tff(4269,plain,
% 13.48/9.21 (until5(s39)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2634, 4268])).
% 13.48/9.21 tff(4270,plain,
% 13.48/9.21 (xuntil6(s40)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2747, 4269])).
% 13.48/9.21 tff(4271,plain,
% 13.48/9.21 (until5(s41)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2752, 4270])).
% 13.48/9.21 tff(4272,plain,
% 13.48/9.21 (xuntil6(s41)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2802, 294, 4271, 4236])).
% 13.48/9.21 tff(4273,plain,
% 13.48/9.21 (until5(s42)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2808, 4272])).
% 13.48/9.21 tff(4274,plain,
% 13.48/9.21 (xuntil6(s51)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3213, 4273, 4225])).
% 13.48/9.21 tff(4275,plain,
% 13.48/9.21 (until5(s52)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3453, 4274])).
% 13.48/9.21 tff(4276,plain,
% 13.48/9.21 (~node4(s52)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3462, 36, 4224])).
% 13.48/9.21 tff(4277,plain,
% 13.48/9.21 (xuntil6(s52) | (~until5(s52))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3503, 294, 4276])).
% 13.48/9.21 tff(4278,plain,
% 13.48/9.21 (xuntil6(s52)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4277, 4275])).
% 13.48/9.21 tff(4279,plain,
% 13.48/9.21 (until5(s53)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3509, 4278])).
% 13.48/9.21 tff(4280,plain,
% 13.48/9.21 (~node4(s53)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3518, 36, 4223])).
% 13.48/9.21 tff(4281,plain,
% 13.48/9.21 (xuntil6(s53) | (~until5(s53))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3603, 294, 4280])).
% 13.48/9.21 tff(4282,plain,
% 13.48/9.21 (xuntil6(s53)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4281, 4279])).
% 13.48/9.21 tff(4283,plain,
% 13.48/9.21 (until5(s54)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3609, 4282])).
% 13.48/9.21 tff(4284,plain,
% 13.48/9.21 (~node4(s54)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3618, 36, 4222])).
% 13.48/9.21 tff(4285,plain,
% 13.48/9.21 (xuntil6(s54) | (~until5(s54))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3659, 294, 4284])).
% 13.48/9.21 tff(4286,plain,
% 13.48/9.21 (xuntil6(s54)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4285, 4283])).
% 13.48/9.21 tff(4287,plain,
% 13.48/9.21 (until5(s55)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3665, 4286])).
% 13.48/9.21 tff(4288,plain,
% 13.48/9.21 (~node4(s55)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3674, 36, 4221])).
% 13.48/9.21 tff(4289,plain,
% 13.48/9.21 (xuntil6(s55) | (~until5(s55))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3715, 294, 4288])).
% 13.48/9.21 tff(4290,plain,
% 13.48/9.21 (xuntil6(s55)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4289, 4287])).
% 13.48/9.21 tff(4291,plain,
% 13.48/9.21 (until5(s56)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3721, 4290])).
% 13.48/9.21 tff(4292,plain,
% 13.48/9.21 (~node4(s56)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3835, 36, 4220])).
% 13.48/9.21 tff(4293,plain,
% 13.48/9.21 (xuntil6(s56) | (~until5(s56))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3842, 294, 4292])).
% 13.48/9.21 tff(4294,plain,
% 13.48/9.21 (xuntil6(s56)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4293, 4291])).
% 13.48/9.21 tff(4295,plain,
% 13.48/9.21 (until5(s57)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3848, 4294])).
% 13.48/9.21 tff(4296,plain,
% 13.48/9.21 (~node4(s57)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3852, 36, 4219])).
% 13.48/9.21 tff(4297,plain,
% 13.48/9.21 (xuntil6(s57) | (~until5(s57))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3859, 294, 4296])).
% 13.48/9.21 tff(4298,plain,
% 13.48/9.21 (xuntil6(s57)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4297, 4295])).
% 13.48/9.21 tff(4299,plain,
% 13.48/9.21 (until5(s58)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3865, 4298])).
% 13.48/9.21 tff(4300,plain,
% 13.48/9.21 (xuntil6(s58)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3911, 4299])).
% 13.48/9.21 tff(4301,plain,
% 13.48/9.21 (until5(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3916, 4300])).
% 13.48/9.21 tff(4302,plain,
% 13.48/9.21 (always3(s62)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4017, 4301, 3723])).
% 13.48/9.21 tff(4303,plain,
% 13.48/9.21 (~m_main_v_state(s62, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4024, 85, 4302])).
% 13.48/9.21 tff(4304,plain,
% 13.48/9.21 (~node4(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4053, 4303])).
% 13.48/9.21 tff(4305,plain,
% 13.48/9.21 (always3(s63)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4065, 4302])).
% 13.48/9.21 tff(4306,plain,
% 13.48/9.21 (~m_main_v_state(s63, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4072, 85, 4305])).
% 13.48/9.21 tff(4307,plain,
% 13.48/9.21 (m_main_v_state(s62, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4076, 102, 4303])).
% 13.48/9.21 tff(4308,plain,
% 13.48/9.21 (~m_main_v_request(s62)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4085, 4307, 4306])).
% 13.48/9.21 tff(4309,plain,
% 13.48/9.21 (~node4(s62)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4089, 21, 4308])).
% 13.48/9.21 tff(4310,plain,
% 13.48/9.21 (~until5(s62)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3945, 4309])).
% 13.48/9.21 tff(4311,plain,
% 13.48/9.21 (~xuntil6(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3950, 4310])).
% 13.48/9.21 tff(4312,plain,
% 13.48/9.21 (node4(s61) | (~until5(s61))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3957, 294, 4311])).
% 13.48/9.21 tff(4313,plain,
% 13.48/9.21 (~until5(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4312, 4304])).
% 13.48/9.21 tff(4314,plain,
% 13.48/9.21 (~xuntil6(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4015, 4313])).
% 13.48/9.21 tff(4315,plain,
% 13.48/9.21 (always3(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4104, 4301, 4314])).
% 13.48/9.21 tff(4316,plain,
% 13.48/9.21 (~m_main_v_state(s60, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4132, 85, 4315])).
% 13.48/9.21 tff(4317,plain,
% 13.48/9.21 (always3(s61)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3969, 4315])).
% 13.48/9.21 tff(4318,plain,
% 13.48/9.21 (~m_main_v_state(s61, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4047, 85, 4317])).
% 13.48/9.21 tff(4319,plain,
% 13.48/9.21 (m_main_v_state(s60, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4136, 102, 4316])).
% 13.48/9.21 tff(4320,plain,
% 13.48/9.21 (~m_main_v_request(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4125, 4319, 4318])).
% 13.48/9.21 tff(4321,plain,
% 13.48/9.21 (~node4(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4116, 21, 4320])).
% 13.48/9.21 tff(4322,plain,
% 13.48/9.21 (node4(s60) | (~until5(s60))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4010, 294, 4314])).
% 13.48/9.21 tff(4323,plain,
% 13.48/9.21 (~until5(s60)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4322, 4321])).
% 13.48/9.21 tff(4324,plain,
% 13.48/9.21 (~xuntil6(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4003, 4323])).
% 13.48/9.21 tff(4325,plain,
% 13.48/9.21 (xuntil6(s59) | node4(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3997, 294, 4301])).
% 13.48/9.21 tff(4326,plain,
% 13.48/9.21 (node4(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4325, 4324])).
% 13.48/9.21 tff(4327,plain,
% 13.48/9.21 (((~![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)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4328,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s59) | (~node4(s59)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4329,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s59) | (~node4(s59))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 13.48/9.21 tff(4330,plain,
% 13.48/9.21 (m_main_v_request(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4329, 21, 4326])).
% 13.48/9.21 tff(4331,plain,
% 13.48/9.21 (~m_main_v_state(s59, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4192, 4330, 4316])).
% 13.48/9.21 tff(4332,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s58, s59)) | m_main_v_state(s59, c_busy) | node1(s58) | m_main_v_state(s59, 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(s58, s59)) | m_main_v_state(s59, c_busy) | node1(s58) | m_main_v_state(s59, c_ready))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4333,plain,
% 13.48/9.21 ((node1(s58) | m_main_v_state(s59, c_ready) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy)) <=> ((~node2(s58, s59)) | m_main_v_state(s59, c_busy) | node1(s58) | m_main_v_state(s59, c_ready))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4334,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s58) | m_main_v_state(s59, c_ready) | (~node2(s58, s59)) | m_main_v_state(s59, 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(s58, s59)) | m_main_v_state(s59, c_busy) | node1(s58) | m_main_v_state(s59, c_ready)))),
% 13.48/9.21 inference(monotonicity,[status(thm)],[4333])).
% 13.48/9.21 tff(4335,plain,
% 13.48/9.21 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s58) | m_main_v_state(s59, c_ready) | (~node2(s58, s59)) | m_main_v_state(s59, 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(s58, s59)) | m_main_v_state(s59, c_busy) | node1(s58) | m_main_v_state(s59, c_ready))),
% 13.48/9.21 inference(transitivity,[status(thm)],[4334, 4332])).
% 13.48/9.21 tff(4336,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s58) | m_main_v_state(s59, c_ready) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4337,plain,
% 13.48/9.21 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | node1(s58) | m_main_v_state(s59, c_ready)),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4336, 4335])).
% 13.48/9.21 tff(4338,plain,
% 13.48/9.21 (m_main_v_state(s59, c_busy) | node1(s58) | m_main_v_state(s59, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4337, 3551, 3887])).
% 13.48/9.21 tff(4339,plain,
% 13.48/9.21 (m_main_v_state(s59, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4338, 4331, 4213])).
% 13.48/9.21 tff(4340,plain,
% 13.48/9.21 (always3(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3989, 36, 4326])).
% 13.48/9.21 tff(4341,plain,
% 13.48/9.21 ($false),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3882, 85, 4340, 4339])).
% 13.48/9.21 tff(4342,plain,(m_main_v_state(s58, c_ready) | xuntil6(s62)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.21 tff(4343,plain,
% 13.48/9.21 (m_main_v_state(s58, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4342, 3723])).
% 13.48/9.21 tff(4344,plain,
% 13.48/9.21 (~m_main_v_state(s59, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3882, 85, 4139])).
% 13.48/9.21 tff(4345,assumption,(~m_main_v_state(s59, c_ready)), introduced(assumption)).
% 13.48/9.21 tff(4346,assumption,(~m_main_v_state(s59, c_busy)), introduced(assumption)).
% 13.48/9.21 tff(4347,plain,
% 13.48/9.21 (node1(s58)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4338, 4346, 4345])).
% 13.48/9.21 tff(4348,assumption,(m_main_v_state(s58, c_ready)), introduced(assumption)).
% 13.48/9.21 tff(4349,plain,
% 13.48/9.21 (~m_main_v_request(s58)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3891, 4346, 4348])).
% 13.48/9.21 tff(4350,plain,
% 13.48/9.21 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s58) | (~node1(s58)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s58) | (~node1(s58)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4351,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s58) | (~node1(s58)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4352,plain,
% 13.48/9.21 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s58) | (~node1(s58))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4351, 4350])).
% 13.48/9.21 tff(4353,plain,
% 13.48/9.21 ($false),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4352, 3568, 4349, 4347])).
% 13.48/9.21 tff(4354,plain,(m_main_v_state(s59, c_busy) | (~m_main_v_state(s58, c_ready)) | m_main_v_state(s59, c_ready)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.21 tff(4355,plain,
% 13.48/9.21 (m_main_v_state(s59, c_ready)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4354, 4344, 4343])).
% 13.48/9.21 tff(4356,plain,
% 13.48/9.21 (~m_main_v_request(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4192, 4355, 4174])).
% 13.48/9.21 tff(4357,plain,
% 13.48/9.21 (~node4(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4329, 21, 4356])).
% 13.48/9.21 tff(4358,plain,
% 13.48/9.21 (xuntil6(s59) | (~until5(s59))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3997, 294, 4357])).
% 13.48/9.21 tff(4359,plain,
% 13.48/9.21 (~until5(s59)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4358, 4208])).
% 13.48/9.21 tff(4360,plain,
% 13.48/9.21 (~xuntil6(s58)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3916, 4359])).
% 13.48/9.21 tff(4361,plain,
% 13.48/9.21 (~until5(s58)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3911, 4360])).
% 13.48/9.21 tff(4362,plain,
% 13.48/9.21 (~xuntil6(s57)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3865, 4361])).
% 13.48/9.21 tff(4363,assumption,(~always3(s57)), introduced(assumption)).
% 13.48/9.21 tff(4364,plain,
% 13.48/9.21 (~always3(s56)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3759, 4363])).
% 13.48/9.21 tff(4365,plain,
% 13.48/9.21 (~node4(s56)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3835, 36, 4364])).
% 13.48/9.21 tff(4366,plain,
% 13.48/9.21 (~node4(s57)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3852, 36, 4363])).
% 13.48/9.21 tff(4367,assumption,(~xuntil6(s57)), introduced(assumption)).
% 13.48/9.21 tff(4368,plain,
% 13.48/9.21 (node4(s57) | (~until5(s57))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3859, 294, 4367])).
% 13.48/9.21 tff(4369,plain,
% 13.48/9.21 (~until5(s57)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4368, 4366])).
% 13.48/9.21 tff(4370,plain,
% 13.48/9.21 (~xuntil6(s56)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3848, 4369])).
% 13.48/9.21 tff(4371,plain,
% 13.48/9.21 (~until5(s56)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3842, 294, 4370, 4365])).
% 13.48/9.21 tff(4372,plain,
% 13.48/9.21 (~xuntil6(s55)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3721, 4371])).
% 13.48/9.21 tff(4373,plain,
% 13.48/9.21 (~always3(s55)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3686, 4364])).
% 13.48/9.21 tff(4374,plain,
% 13.48/9.21 (~node4(s55)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3674, 36, 4373])).
% 13.48/9.21 tff(4375,plain,
% 13.48/9.21 (xuntil6(s55) | (~until5(s55))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3715, 294, 4374])).
% 13.48/9.21 tff(4376,plain,
% 13.48/9.21 (~until5(s55)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4375, 4372])).
% 13.48/9.21 tff(4377,plain,
% 13.48/9.21 (~xuntil6(s54)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3665, 4376])).
% 13.48/9.21 tff(4378,plain,
% 13.48/9.21 (~always3(s54)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3630, 4373])).
% 13.48/9.21 tff(4379,plain,
% 13.48/9.21 (~node4(s54)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3618, 36, 4378])).
% 13.48/9.21 tff(4380,plain,
% 13.48/9.21 (xuntil6(s54) | (~until5(s54))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3659, 294, 4379])).
% 13.48/9.21 tff(4381,plain,
% 13.48/9.21 (~until5(s54)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4380, 4377])).
% 13.48/9.21 tff(4382,plain,
% 13.48/9.21 (~xuntil6(s53)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3609, 4381])).
% 13.48/9.21 tff(4383,plain,
% 13.48/9.21 (~always3(s53)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3530, 4378])).
% 13.48/9.21 tff(4384,plain,
% 13.48/9.21 (~always3(s52)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3474, 4383])).
% 13.48/9.21 tff(4385,plain,
% 13.48/9.21 (~always3(s51)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3232, 4384])).
% 13.48/9.21 tff(4386,plain,
% 13.48/9.21 (~always3(s50)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3048, 4385])).
% 13.48/9.21 tff(4387,plain,
% 13.48/9.21 (~always3(s49)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3093, 4386])).
% 13.48/9.21 tff(4388,plain,
% 13.48/9.21 (~always3(s48)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3122, 4387])).
% 13.48/9.21 tff(4389,plain,
% 13.48/9.21 (~always3(s47)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3151, 4388])).
% 13.48/9.21 tff(4390,plain,
% 13.48/9.21 (~always3(s46)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3175, 4389])).
% 13.48/9.21 tff(4391,plain,
% 13.48/9.21 (~always3(s45)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3000, 4390])).
% 13.48/9.21 tff(4392,plain,
% 13.48/9.21 (~always3(s44)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2944, 4391])).
% 13.48/9.21 tff(4393,plain,
% 13.48/9.21 (~always3(s43)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2888, 4392])).
% 13.48/9.21 tff(4394,plain,
% 13.48/9.21 (~always3(s42)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2832, 4393])).
% 13.48/9.21 tff(4395,plain,
% 13.48/9.21 (~always3(s41)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2773, 4394])).
% 13.48/9.21 tff(4396,plain,
% 13.48/9.21 (~node4(s41)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2761, 36, 4395])).
% 13.48/9.21 tff(4397,plain,
% 13.48/9.21 (~always3(s40)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2699, 4395])).
% 13.48/9.21 tff(4398,plain,
% 13.48/9.21 (~always3(s39)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2661, 4397])).
% 13.48/9.21 tff(4399,plain,
% 13.48/9.21 (~always3(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2599, 4398])).
% 13.48/9.21 tff(4400,plain,
% 13.48/9.21 (~node4(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2587, 36, 4399])).
% 13.48/9.21 tff(4401,plain,
% 13.48/9.21 (~always3(s37)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1912, 4399])).
% 13.48/9.21 tff(4402,plain,
% 13.48/9.21 (~always3(s36)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1333, 4401])).
% 13.48/9.21 tff(4403,plain,
% 13.48/9.21 (~always3(s35)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1378, 4402])).
% 13.48/9.21 tff(4404,plain,
% 13.48/9.21 (~always3(s34)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1407, 4403])).
% 13.48/9.21 tff(4405,plain,
% 13.48/9.21 (~always3(s33)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1436, 4404])).
% 13.48/9.21 tff(4406,plain,
% 13.48/9.21 (~always3(s32)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[200, 4405])).
% 13.48/9.21 tff(4407,plain,
% 13.48/9.21 (~always3(s31)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1480, 4406])).
% 13.48/9.21 tff(4408,plain,
% 13.48/9.21 (~always3(s30)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[249, 4407])).
% 13.48/9.21 tff(4409,plain,
% 13.48/9.21 (~always3(s29)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1524, 4408])).
% 13.48/9.21 tff(4410,plain,
% 13.48/9.21 (~always3(s28)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[151, 4409])).
% 13.48/9.21 tff(4411,plain,
% 13.48/9.21 (~always3(s27)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1568, 4410])).
% 13.48/9.21 tff(4412,plain,
% 13.48/9.21 (~always3(s26)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1592, 4411])).
% 13.48/9.21 tff(4413,plain,
% 13.48/9.21 (~always3(s25)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1604, 4412])).
% 13.48/9.21 tff(4414,plain,
% 13.48/9.21 (~always3(s24)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1616, 4413])).
% 13.48/9.21 tff(4415,plain,
% 13.48/9.21 (~always3(s23)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1628, 4414])).
% 13.48/9.21 tff(4416,plain,
% 13.48/9.21 (~always3(s22)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1640, 4415])).
% 13.48/9.21 tff(4417,plain,
% 13.48/9.21 (~always3(s21)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1652, 4416])).
% 13.48/9.21 tff(4418,plain,
% 13.48/9.21 (~always3(s20)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1664, 4417])).
% 13.48/9.21 tff(4419,plain,
% 13.48/9.21 (~always3(s19)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1676, 4418])).
% 13.48/9.21 tff(4420,plain,
% 13.48/9.21 (~always3(s18)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1688, 4419])).
% 13.48/9.21 tff(4421,plain,
% 13.48/9.21 (~always3(s17)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1700, 4420])).
% 13.48/9.21 tff(4422,plain,
% 13.48/9.21 (~always3(s16)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1716, 4421])).
% 13.48/9.21 tff(4423,plain,
% 13.48/9.21 (~always3(s15)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1259, 4422])).
% 13.48/9.21 tff(4424,plain,
% 13.48/9.21 (xuntil6(s15)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1240, 4423])).
% 13.48/9.21 tff(4425,plain,
% 13.48/9.21 (until5(s16)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1318, 4424])).
% 13.48/9.21 tff(4426,plain,
% 13.48/9.21 (xuntil6(s37)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[1900, 4425, 4401])).
% 13.48/9.21 tff(4427,plain,
% 13.48/9.21 (until5(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2578, 4426])).
% 13.48/9.21 tff(4428,plain,
% 13.48/9.21 (xuntil6(s38) | node4(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2628, 294, 4427])).
% 13.48/9.21 tff(4429,plain,
% 13.48/9.21 (xuntil6(s38)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4428, 4400])).
% 13.48/9.21 tff(4430,plain,
% 13.48/9.21 (until5(s39)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2634, 4429])).
% 13.48/9.21 tff(4431,plain,
% 13.48/9.21 (xuntil6(s40)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2747, 4430])).
% 13.48/9.21 tff(4432,plain,
% 13.48/9.21 (until5(s41)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2752, 4431])).
% 13.48/9.21 tff(4433,plain,
% 13.48/9.21 (xuntil6(s41)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2802, 294, 4432, 4396])).
% 13.48/9.21 tff(4434,plain,
% 13.48/9.21 (until5(s42)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[2808, 4433])).
% 13.48/9.21 tff(4435,plain,
% 13.48/9.21 (xuntil6(s51)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3213, 4434, 4385])).
% 13.48/9.21 tff(4436,plain,
% 13.48/9.21 (until5(s52)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3453, 4435])).
% 13.48/9.21 tff(4437,plain,
% 13.48/9.21 (~node4(s52)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3462, 36, 4384])).
% 13.48/9.21 tff(4438,plain,
% 13.48/9.21 (xuntil6(s52) | (~until5(s52))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3503, 294, 4437])).
% 13.48/9.21 tff(4439,plain,
% 13.48/9.21 (xuntil6(s52)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4438, 4436])).
% 13.48/9.21 tff(4440,plain,
% 13.48/9.21 (until5(s53)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3509, 4439])).
% 13.48/9.21 tff(4441,plain,
% 13.48/9.21 (~node4(s53)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3518, 36, 4383])).
% 13.48/9.21 tff(4442,plain,
% 13.48/9.21 (xuntil6(s53) | (~until5(s53))),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[3603, 294, 4441])).
% 13.48/9.21 tff(4443,plain,
% 13.48/9.21 ($false),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4442, 4440, 4382])).
% 13.48/9.21 tff(4444,plain,(always3(s57) | xuntil6(s57)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.21 tff(4445,plain,
% 13.48/9.21 (always3(s57)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4444, 4362])).
% 13.48/9.21 tff(4446,plain,
% 13.48/9.21 (((~![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)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4447,plain,
% 13.48/9.21 (((~m_main_v_state(s57, c_busy)) | (~always3(s57))) <=> ((~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4448,plain,
% 13.48/9.21 (((~![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))))),
% 13.48/9.21 inference(monotonicity,[status(thm)],[4447])).
% 13.48/9.21 tff(4449,plain,
% 13.48/9.21 (((~![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)))),
% 13.48/9.21 inference(transitivity,[status(thm)],[4448, 4446])).
% 13.48/9.21 tff(4450,plain,
% 13.48/9.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4451,plain,
% 13.48/9.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 13.48/9.21 tff(4452,plain,
% 13.48/9.21 (~m_main_v_state(s57, c_busy)),
% 13.48/9.21 inference(unit_resolution,[status(thm)],[4451, 85, 4445])).
% 13.48/9.21 tff(4453,plain,
% 13.48/9.21 (^[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))))),
% 13.48/9.21 inference(bind,[status(th)],[])).
% 13.48/9.21 tff(4454,plain,
% 13.48/9.21 (![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)))),
% 13.48/9.21 inference(quant_intro,[status(thm)],[4453])).
% 13.48/9.21 tff(4455,plain,
% 13.48/9.21 (![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)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4456,plain,
% 13.48/9.21 (^[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))))),
% 13.48/9.21 inference(bind,[status(th)],[])).
% 13.48/9.21 tff(4457,plain,
% 13.48/9.21 (![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)))),
% 13.48/9.21 inference(quant_intro,[status(thm)],[4456])).
% 13.48/9.21 tff(4458,axiom,(![X: $i] : ((~m_main_v_state(X, c_ready)) | (~m_main_v_state(X, c_busy)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_2')).
% 13.48/9.21 tff(4459,plain,
% 13.48/9.21 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4458, 4457])).
% 13.48/9.21 tff(4460,plain,
% 13.48/9.21 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4459, 4455])).
% 13.48/9.21 tff(4461,plain,(
% 13.48/9.21 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 13.48/9.21 inference(skolemize,[status(sab)],[4460])).
% 13.48/9.21 tff(4462,plain,
% 13.48/9.21 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 13.48/9.21 inference(modus_ponens,[status(thm)],[4461, 4454])).
% 13.48/9.21 tff(4463,plain,
% 13.48/9.21 (((~![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)))),
% 13.48/9.21 inference(rewrite,[status(thm)],[])).
% 13.48/9.21 tff(4464,plain,
% 13.48/9.21 ((~![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)))),
% 13.48/9.21 inference(quant_inst,[status(thm)],[])).
% 13.48/9.21 tff(4465,plain,
% 13.48/9.21 ((~![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))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 13.48/9.22 tff(4466,plain,
% 13.48/9.22 (~m_main_v_state(s58, c_busy)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4465, 4462, 4343])).
% 13.48/9.22 tff(4467,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4468,plain,
% 13.48/9.22 ((~![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))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4469,plain,
% 13.48/9.22 ((~![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)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 13.48/9.22 tff(4470,plain,
% 13.48/9.22 (m_main_v_state(s57, c_ready)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4469, 102, 4452])).
% 13.48/9.22 tff(4471,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4472,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s57, s58)) | node2(s57, s58))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4473,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s57, s58)) | node2(s57, s58)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 13.48/9.22 tff(4474,plain,
% 13.48/9.22 (node2(s57, s58)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4473, 7, 3743])).
% 13.48/9.22 tff(4475,plain,
% 13.48/9.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4476,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4477,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 13.48/9.22 tff(4478,plain,
% 13.48/9.22 ((~m_main_v_state(s57, c_ready)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4477, 73, 4474])).
% 13.48/9.22 tff(4479,plain,
% 13.48/9.22 (~m_main_v_request(s57)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4478, 4470, 4466])).
% 13.48/9.22 tff(4480,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4481,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s57) | (~node4(s57)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4482,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s57) | (~node4(s57))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4481, 4480])).
% 13.48/9.22 tff(4483,plain,
% 13.48/9.22 (~node4(s57)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4482, 21, 4479])).
% 13.48/9.22 tff(4484,plain,
% 13.48/9.22 (node4(s57) | (~until5(s57))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3859, 294, 4362])).
% 13.48/9.22 tff(4485,plain,
% 13.48/9.22 (~until5(s57)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4484, 4483])).
% 13.48/9.22 tff(4486,plain,
% 13.48/9.22 (~xuntil6(s56)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3848, 4485])).
% 13.48/9.22 tff(4487,assumption,(until5(s56)), introduced(assumption)).
% 13.48/9.22 tff(4488,plain,
% 13.48/9.22 (xuntil6(s56) | node4(s56)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3842, 294, 4487])).
% 13.48/9.22 tff(4489,plain,
% 13.48/9.22 (node4(s56)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4488, 4486])).
% 13.48/9.22 tff(4490,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4491,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s56) | (~node4(s56)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4492,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s56) | (~node4(s56))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 13.48/9.22 tff(4493,plain,
% 13.48/9.22 (m_main_v_request(s56)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4492, 21, 4489])).
% 13.48/9.22 tff(4494,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4495,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s56, s57)) | node2(s56, s57))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4496,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s56, s57)) | node2(s56, s57)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 13.48/9.22 tff(4497,plain,
% 13.48/9.22 (node2(s56, s57)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4496, 7, 3755])).
% 13.48/9.22 tff(4498,plain,
% 13.48/9.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4499,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4500,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 13.48/9.22 tff(4501,plain,
% 13.48/9.22 ((~m_main_v_state(s56, c_ready)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4500, 73, 4497])).
% 13.48/9.22 tff(4502,plain,
% 13.48/9.22 (~m_main_v_state(s56, c_ready)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4501, 4493, 4452])).
% 13.48/9.22 tff(4503,plain,
% 13.48/9.22 (always3(s56)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3835, 36, 4489])).
% 13.48/9.22 tff(4504,plain,
% 13.48/9.22 (~m_main_v_state(s56, c_busy)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3693, 85, 4503])).
% 13.48/9.22 tff(4505,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4506,plain,
% 13.48/9.22 ((~![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))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4507,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 13.48/9.22 tff(4508,plain,
% 13.48/9.22 ($false),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4507, 102, 4504, 4502])).
% 13.48/9.22 tff(4509,plain,(xuntil6(s62) | (~until5(s56))), inference(lemma,lemma(discharge,[]))).
% 13.48/9.22 tff(4510,plain,
% 13.48/9.22 (xuntil6(s62)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4509, 3722])).
% 13.48/9.22 tff(4511,plain,
% 13.48/9.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4512,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4513,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 13.48/9.22 tff(4514,plain,
% 13.48/9.22 ((~xuntil6(s62)) | until5(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4513, 4057, 312])).
% 13.48/9.22 tff(4515,plain,
% 13.48/9.22 (until5(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4514, 4510])).
% 13.48/9.22 tff(4516,assumption,(~xuntil6(s64)), introduced(assumption)).
% 13.48/9.22 tff(4517,assumption,(~always3(s64)), introduced(assumption)).
% 13.48/9.22 tff(4518,plain,
% 13.48/9.22 (succ(s63, s64) <=> succ(s63, s64)),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4519,axiom,(succ(s63, s64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound64')).
% 13.48/9.22 tff(4520,plain,
% 13.48/9.22 (succ(s63, s64)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4519, 4518])).
% 13.48/9.22 tff(4521,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4522,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4523,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 13.48/9.22 tff(4524,plain,
% 13.48/9.22 (trans(s63, s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4523, 4520, 52])).
% 13.48/9.22 tff(4525,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4526,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s63, s64)) | (~always3(s63)) | always3(s64))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4527,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s63, s64)) | (~always3(s63)) | always3(s64)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 13.48/9.22 tff(4528,plain,
% 13.48/9.22 ((~always3(s63)) | always3(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4527, 125, 4524])).
% 13.48/9.22 tff(4529,plain,
% 13.48/9.22 (~always3(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4528, 4517])).
% 13.48/9.22 tff(4530,plain,
% 13.48/9.22 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4531,plain,
% 13.48/9.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4532,plain,
% 13.48/9.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 13.48/9.22 tff(4533,plain,
% 13.48/9.22 (~node4(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4532, 36, 4529])).
% 13.48/9.22 tff(4534,plain,
% 13.48/9.22 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4535,plain,
% 13.48/9.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4536,plain,
% 13.48/9.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 13.48/9.22 tff(4537,plain,
% 13.48/9.22 (~node4(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4536, 36, 4517])).
% 13.48/9.22 tff(4538,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4539,plain,
% 13.48/9.22 ((node4(s64) | (~until5(s64)) | xuntil6(s64)) <=> (xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4540,plain,
% 13.48/9.22 (((~![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))))),
% 13.48/9.22 inference(monotonicity,[status(thm)],[4539])).
% 13.48/9.22 tff(4541,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(transitivity,[status(thm)],[4540, 4538])).
% 13.48/9.22 tff(4542,plain,
% 13.48/9.22 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4543,plain,
% 13.48/9.22 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4542, 4541])).
% 13.48/9.22 tff(4544,plain,
% 13.48/9.22 (node4(s64) | (~until5(s64))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4543, 294, 4516])).
% 13.48/9.22 tff(4545,plain,
% 13.48/9.22 (~until5(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4544, 4537])).
% 13.48/9.22 tff(4546,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4547,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4548,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4547, 4546])).
% 13.48/9.22 tff(4549,plain,
% 13.48/9.22 ((~xuntil6(s63)) | until5(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4548, 4520, 312])).
% 13.48/9.22 tff(4550,plain,
% 13.48/9.22 (~xuntil6(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4549, 4545])).
% 13.48/9.22 tff(4551,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4552,plain,
% 13.48/9.22 ((node4(s63) | (~until5(s63)) | xuntil6(s63)) <=> (xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4553,plain,
% 13.48/9.22 (((~![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))))),
% 13.48/9.22 inference(monotonicity,[status(thm)],[4552])).
% 13.48/9.22 tff(4554,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(transitivity,[status(thm)],[4553, 4551])).
% 13.48/9.22 tff(4555,plain,
% 13.48/9.22 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4556,plain,
% 13.48/9.22 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4555, 4554])).
% 13.48/9.22 tff(4557,plain,
% 13.48/9.22 (~until5(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4556, 294, 4550, 4533])).
% 13.48/9.22 tff(4558,plain,
% 13.48/9.22 (~xuntil6(s62)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4514, 4557])).
% 13.48/9.22 tff(4559,plain,
% 13.48/9.22 (~always3(s62)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4065, 4529])).
% 13.48/9.22 tff(4560,plain,
% 13.48/9.22 (~node4(s62)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3937, 36, 4559])).
% 13.48/9.22 tff(4561,plain,
% 13.48/9.22 (xuntil6(s62) | (~until5(s62))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3944, 294, 4560])).
% 13.48/9.22 tff(4562,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4561, 4558])).
% 13.48/9.22 tff(4563,plain,
% 13.48/9.22 (~xuntil6(s61)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3950, 4562])).
% 13.48/9.22 tff(4564,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3929, 4559])).
% 13.48/9.22 tff(4565,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3933, 36, 4564])).
% 13.48/9.22 tff(4566,plain,
% 13.48/9.22 (xuntil6(s61) | (~until5(s61))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3957, 294, 4565])).
% 13.48/9.22 tff(4567,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4566, 4563])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4015, 4567])).
% 13.48/9.22 tff(4569,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3969, 4564])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3973, 36, 4569])).
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% 13.48/9.22 (xuntil6(s60) | (~until5(s60))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4010, 294, 4570])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4571, 4568])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4003, 4572])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3985, 4569])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3989, 36, 4574])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3997, 294, 4575])).
% 13.48/9.22 tff(4577,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4576, 4573])).
% 13.48/9.22 tff(4578,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3916, 4577])).
% 13.48/9.22 tff(4579,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3735, 4574])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3874, 36, 4579])).
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% 13.48/9.22 (xuntil6(s58) | (~until5(s58))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3910, 294, 4580])).
% 13.48/9.22 tff(4582,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4581, 4578])).
% 13.48/9.22 tff(4583,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3865, 4582])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3747, 4579])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3852, 36, 4584])).
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% 13.48/9.22 (xuntil6(s57) | (~until5(s57))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3859, 294, 4585])).
% 13.48/9.22 tff(4587,plain,
% 13.48/9.22 (~until5(s57)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4586, 4583])).
% 13.48/9.22 tff(4588,plain,
% 13.48/9.22 (~xuntil6(s56)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3848, 4587])).
% 13.48/9.22 tff(4589,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3759, 4584])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3835, 36, 4589])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3842, 294, 4590])).
% 13.48/9.22 tff(4592,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4591, 4588])).
% 13.48/9.22 tff(4593,plain,
% 13.48/9.22 (~xuntil6(s55)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3721, 4592])).
% 13.48/9.22 tff(4594,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3686, 4589])).
% 13.48/9.22 tff(4595,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3674, 36, 4594])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3715, 294, 4595])).
% 13.48/9.22 tff(4597,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4596, 4593])).
% 13.48/9.22 tff(4598,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3665, 4597])).
% 13.48/9.22 tff(4599,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3630, 4594])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3659, 294, 4600])).
% 13.48/9.22 tff(4602,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4601, 4598])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3609, 4602])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4606, 4603])).
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4611, 4608])).
% 13.48/9.22 tff(4613,plain,
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[3453, 4612])).
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% 13.48/9.22 tff(4617,plain,
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% 13.48/9.22 tff(4618,plain,
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% 13.48/9.22 tff(4638,plain,
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% 13.48/9.22 tff(4639,plain,
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% 13.48/9.22 tff(4640,plain,
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% 13.48/9.22 tff(4641,plain,
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% 13.48/9.22 tff(4642,plain,
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% 13.48/9.22 tff(4643,plain,
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% 13.48/9.22 tff(4644,plain,
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% 13.48/9.22 tff(4645,plain,
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% 13.48/9.22 tff(4646,plain,
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% 13.48/9.22 tff(4647,plain,
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% 13.48/9.22 tff(4648,plain,
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% 13.48/9.22 tff(4649,plain,
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% 13.48/9.22 tff(4650,plain,
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% 13.48/9.22 tff(4651,plain,
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% 13.48/9.22 tff(4652,plain,
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% 13.48/9.22 tff(4653,plain,
% 13.48/9.22 (xuntil6(s15)),
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% 13.48/9.22 tff(4654,plain,
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% 13.48/9.22 tff(4655,plain,
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% 13.48/9.22 tff(4658,plain,
% 13.48/9.22 (xuntil6(s38)),
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% 13.48/9.22 tff(4659,plain,
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% 13.48/9.22 tff(4660,plain,
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% 13.48/9.22 tff(4661,plain,
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% 13.48/9.22 tff(4662,plain,
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% 13.48/9.22 tff(4664,plain,
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% 13.48/9.22 tff(4665,plain,
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% 13.48/9.22 (xuntil6(s44) | (~until5(s44))),
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% 13.48/9.22 (xuntil6(s44)),
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% 13.48/9.22 (until5(s45)),
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% 13.48/9.22 tff(4682,plain,
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% 13.48/9.22 tff(4683,plain,
% 13.48/9.22 (xuntil6(s45) | (~until5(s45))),
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% 13.48/9.22 inference(unit_resolution,[status(thm)],[4683, 4681])).
% 13.48/9.22 tff(4685,plain,
% 13.48/9.22 (until5(s46)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3035, 4684])).
% 13.48/9.22 tff(4686,plain,
% 13.48/9.22 (~node4(s46)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3198, 36, 4619])).
% 13.48/9.22 tff(4687,plain,
% 13.48/9.22 (xuntil6(s46) | (~until5(s46))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3205, 294, 4686])).
% 13.48/9.22 tff(4688,plain,
% 13.48/9.22 (xuntil6(s46)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4687, 4685])).
% 13.48/9.22 tff(4689,plain,
% 13.48/9.22 (until5(s47)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3211, 4688])).
% 13.48/9.22 tff(4690,plain,
% 13.48/9.22 (~node4(s47)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3155, 36, 4618])).
% 13.48/9.22 tff(4691,plain,
% 13.48/9.22 (xuntil6(s47) | (~until5(s47))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3162, 294, 4690])).
% 13.48/9.22 tff(4692,plain,
% 13.48/9.22 (xuntil6(s47)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4691, 4689])).
% 13.48/9.22 tff(4693,plain,
% 13.48/9.22 (until5(s48)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3142, 4692])).
% 13.48/9.22 tff(4694,plain,
% 13.48/9.22 (~node4(s48)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3126, 36, 4617])).
% 13.48/9.22 tff(4695,plain,
% 13.48/9.22 (xuntil6(s48) | (~until5(s48))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3133, 294, 4694])).
% 13.48/9.22 tff(4696,plain,
% 13.48/9.22 (xuntil6(s48)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4695, 4693])).
% 13.48/9.22 tff(4697,plain,
% 13.48/9.22 (until5(s49)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3113, 4696])).
% 13.48/9.22 tff(4698,plain,
% 13.48/9.22 (~node4(s49)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3097, 36, 4616])).
% 13.48/9.22 tff(4699,plain,
% 13.48/9.22 (xuntil6(s49) | (~until5(s49))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3104, 294, 4698])).
% 13.48/9.22 tff(4700,plain,
% 13.48/9.22 (xuntil6(s49)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4699, 4697])).
% 13.48/9.22 tff(4701,plain,
% 13.48/9.22 (until5(s50)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3084, 4700])).
% 13.48/9.22 tff(4702,plain,
% 13.48/9.22 (~node4(s50)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3052, 36, 4615])).
% 13.48/9.22 tff(4703,plain,
% 13.48/9.22 (xuntil6(s50) | (~until5(s50))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3076, 294, 4702])).
% 13.48/9.22 tff(4704,plain,
% 13.48/9.22 (xuntil6(s50)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4703, 4701])).
% 13.48/9.22 tff(4705,plain,
% 13.48/9.22 (until5(s51)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3069, 4704])).
% 13.48/9.22 tff(4706,plain,
% 13.48/9.22 (~node4(s51)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3056, 36, 4614])).
% 13.48/9.22 tff(4707,plain,
% 13.48/9.22 (xuntil6(s51) | (~until5(s51))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[3063, 294, 4706])).
% 13.48/9.22 tff(4708,plain,
% 13.48/9.22 ($false),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4707, 4705, 4613])).
% 13.48/9.22 tff(4709,plain,(always3(s64) | xuntil6(s64)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.22 tff(4710,plain,
% 13.48/9.22 (always3(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4709, 4516])).
% 13.48/9.22 tff(4711,plain,
% 13.48/9.22 (succ(s64, s65) <=> succ(s64, s65)),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4712,axiom,(succ(s64, s65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound65')).
% 13.48/9.22 tff(4713,plain,
% 13.48/9.22 (succ(s64, s65)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 13.48/9.22 tff(4714,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4715,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4716,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 13.48/9.22 tff(4717,plain,
% 13.48/9.22 (trans(s64, s65)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4716, 4713, 52])).
% 13.48/9.22 tff(4718,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4719,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s64, s65)) | (~always3(s64)) | always3(s65))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4720,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s64, s65)) | (~always3(s64)) | always3(s65)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 13.48/9.22 tff(4721,plain,
% 13.48/9.22 ((~always3(s64)) | always3(s65)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4720, 125, 4717])).
% 13.48/9.22 tff(4722,plain,
% 13.48/9.22 (always3(s65)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4721, 4710])).
% 13.48/9.22 tff(4723,plain,
% 13.48/9.22 (~m_main_v_state(s65, c_busy)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[91, 85, 4722])).
% 13.48/9.22 tff(4724,assumption,(until5(s64)), introduced(assumption)).
% 13.48/9.22 tff(4725,plain,
% 13.48/9.22 (xuntil6(s64) | node4(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4543, 294, 4724])).
% 13.48/9.22 tff(4726,plain,
% 13.48/9.22 (node4(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4725, 4516])).
% 13.48/9.22 tff(4727,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4728,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s64) | (~node4(s64)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4729,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s64) | (~node4(s64))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 13.48/9.22 tff(4730,plain,
% 13.48/9.22 (m_main_v_request(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4729, 21, 4726])).
% 13.48/9.22 tff(4731,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4732,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s64, s65)) | node2(s64, s65))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4733,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s64, s65)) | node2(s64, s65)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4732, 4731])).
% 13.48/9.22 tff(4734,plain,
% 13.48/9.22 (node2(s64, s65)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4733, 7, 4717])).
% 13.48/9.22 tff(4735,plain,
% 13.48/9.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4736,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4737,plain,
% 13.48/9.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 13.48/9.22 tff(4738,plain,
% 13.48/9.22 ((~m_main_v_state(s64, c_ready)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64))),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4737, 73, 4734])).
% 13.48/9.22 tff(4739,plain,
% 13.48/9.22 (~m_main_v_state(s64, c_ready)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4738, 4730, 4723])).
% 13.48/9.22 tff(4740,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4741,plain,
% 13.48/9.22 (((~m_main_v_state(s64, c_busy)) | (~always3(s64))) <=> ((~always3(s64)) | (~m_main_v_state(s64, c_busy)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4742,plain,
% 13.48/9.22 (((~![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))))),
% 13.48/9.22 inference(monotonicity,[status(thm)],[4741])).
% 13.48/9.22 tff(4743,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(transitivity,[status(thm)],[4742, 4740])).
% 13.48/9.22 tff(4744,plain,
% 13.48/9.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s64, c_busy)) | (~always3(s64)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4745,plain,
% 13.48/9.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s64)) | (~m_main_v_state(s64, c_busy))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 13.48/9.22 tff(4746,plain,
% 13.48/9.22 (~m_main_v_state(s64, c_busy)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4745, 85, 4710])).
% 13.48/9.22 tff(4747,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4748,plain,
% 13.48/9.22 ((~![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))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4749,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready)),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4748, 4747])).
% 13.48/9.22 tff(4750,plain,
% 13.48/9.22 ($false),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4749, 102, 4746, 4739])).
% 13.48/9.22 tff(4751,plain,(xuntil6(s64) | (~until5(s64))), inference(lemma,lemma(discharge,[]))).
% 13.48/9.22 tff(4752,plain,
% 13.48/9.22 (~until5(s64)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4751, 4516])).
% 13.48/9.22 tff(4753,plain,
% 13.48/9.22 (~xuntil6(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4549, 4752])).
% 13.48/9.22 tff(4754,assumption,(until5(s63)), introduced(assumption)).
% 13.48/9.22 tff(4755,plain,
% 13.48/9.22 (xuntil6(s63) | node4(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4556, 294, 4754])).
% 13.48/9.22 tff(4756,plain,
% 13.48/9.22 (node4(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4755, 4753])).
% 13.48/9.22 tff(4757,assumption,(~m_main_v_state(s64, c_busy)), introduced(assumption)).
% 13.48/9.22 tff(4758,assumption,(node4(s63)), introduced(assumption)).
% 13.48/9.22 tff(4759,plain,
% 13.48/9.22 (((~![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)))),
% 13.48/9.22 inference(rewrite,[status(thm)],[])).
% 13.48/9.22 tff(4760,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s63) | (~node4(s63)))),
% 13.48/9.22 inference(quant_inst,[status(thm)],[])).
% 13.48/9.22 tff(4761,plain,
% 13.48/9.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s63) | (~node4(s63))),
% 13.48/9.22 inference(modus_ponens,[status(thm)],[4760, 4759])).
% 13.48/9.22 tff(4762,plain,
% 13.48/9.22 (m_main_v_request(s63)),
% 13.48/9.22 inference(unit_resolution,[status(thm)],[4761, 21, 4758])).
% 13.48/9.22 tff(4763,plain,
% 13.48/9.22 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4764,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s63, s64)) | node2(s63, s64))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4765,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s63, s64)) | node2(s63, s64)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4764, 4763])).
% 13.48/9.23 tff(4766,plain,
% 13.48/9.23 (node2(s63, s64)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4765, 7, 4524])).
% 13.48/9.23 tff(4767,plain,
% 13.48/9.23 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4768,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4769,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4768, 4767])).
% 13.48/9.23 tff(4770,plain,
% 13.48/9.23 ((~m_main_v_state(s63, c_ready)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63))),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4769, 73, 4766])).
% 13.48/9.23 tff(4771,plain,
% 13.48/9.23 (~m_main_v_state(s63, c_ready)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4770, 4762, 4757])).
% 13.48/9.23 tff(4772,plain,
% 13.48/9.23 (always3(s63)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4532, 36, 4758])).
% 13.48/9.23 tff(4773,plain,
% 13.48/9.23 (~m_main_v_state(s63, c_busy)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4072, 85, 4772])).
% 13.48/9.23 tff(4774,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4775,plain,
% 13.48/9.23 ((~![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))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4776,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 13.48/9.23 tff(4777,plain,
% 13.48/9.23 ($false),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4776, 102, 4773, 4771])).
% 13.48/9.23 tff(4778,plain,((~node4(s63)) | m_main_v_state(s64, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.23 tff(4779,plain,
% 13.48/9.23 (m_main_v_state(s64, c_busy)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4778, 4756])).
% 13.48/9.23 tff(4780,plain,
% 13.48/9.23 ($false),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4745, 85, 4710, 4779])).
% 13.48/9.23 tff(4781,plain,(xuntil6(s64) | (~until5(s63))), inference(lemma,lemma(discharge,[]))).
% 13.48/9.23 tff(4782,plain,
% 13.48/9.23 (xuntil6(s64)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4781, 4515])).
% 13.48/9.23 tff(4783,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4784,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4785,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 13.48/9.23 tff(4786,plain,
% 13.48/9.23 ((~xuntil6(s64)) | until5(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4785, 4713, 312])).
% 13.48/9.23 tff(4787,plain,
% 13.48/9.23 (until5(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4786, 4782])).
% 13.48/9.23 tff(4788,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4789,plain,
% 13.48/9.23 ((node4(s65) | (~until5(s65)) | xuntil6(s65)) <=> (xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4790,plain,
% 13.48/9.23 (((~![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))))),
% 13.48/9.23 inference(monotonicity,[status(thm)],[4789])).
% 13.48/9.23 tff(4791,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(transitivity,[status(thm)],[4790, 4788])).
% 13.48/9.23 tff(4792,plain,
% 13.48/9.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4793,plain,
% 13.48/9.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4792, 4791])).
% 13.48/9.23 tff(4794,plain,
% 13.48/9.23 (xuntil6(s65) | node4(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4793, 294, 4787])).
% 13.48/9.23 tff(4795,plain,
% 13.48/9.23 (xuntil6(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4794, 131])).
% 13.48/9.23 tff(4796,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4797,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4798,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 13.48/9.23 tff(4799,plain,
% 13.48/9.23 ((~xuntil6(s65)) | until5(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4798, 55, 312])).
% 13.48/9.23 tff(4800,plain,
% 13.48/9.23 (until5(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4799, 4795])).
% 13.48/9.23 tff(4801,assumption,(~xuntil6(s66)), introduced(assumption)).
% 13.48/9.23 tff(4802,assumption,(~always3(s66)), introduced(assumption)).
% 13.48/9.23 tff(4803,plain,
% 13.48/9.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4804,plain,
% 13.48/9.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4805,plain,
% 13.48/9.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4804, 4803])).
% 13.48/9.23 tff(4806,plain,
% 13.48/9.23 (~node4(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4805, 36, 4802])).
% 13.48/9.23 tff(4807,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4808,plain,
% 13.48/9.23 ((node4(s66) | (~until5(s66)) | xuntil6(s66)) <=> (xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4809,plain,
% 13.48/9.23 (((~![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))))),
% 13.48/9.23 inference(monotonicity,[status(thm)],[4808])).
% 13.48/9.23 tff(4810,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(transitivity,[status(thm)],[4809, 4807])).
% 13.48/9.23 tff(4811,plain,
% 13.48/9.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4812,plain,
% 13.48/9.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4811, 4810])).
% 13.48/9.23 tff(4813,plain,
% 13.48/9.23 (node4(s66) | (~until5(s66))),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4812, 294, 4801])).
% 13.48/9.23 tff(4814,plain,
% 13.48/9.23 (~until5(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4813, 4806])).
% 13.48/9.23 tff(4815,plain,
% 13.48/9.23 (~always3(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[129, 4802])).
% 13.48/9.23 tff(4816,plain,
% 13.48/9.23 (~node4(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[39, 36, 4815])).
% 13.48/9.23 tff(4817,plain,
% 13.48/9.23 (~always3(s64)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4721, 4815])).
% 13.48/9.23 tff(4818,plain,
% 13.48/9.23 (xuntil6(s64)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4709, 4817])).
% 13.48/9.23 tff(4819,plain,
% 13.48/9.23 (until5(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4786, 4818])).
% 13.48/9.23 tff(4820,plain,
% 13.48/9.23 (xuntil6(s65) | node4(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4793, 294, 4819])).
% 13.48/9.23 tff(4821,plain,
% 13.48/9.23 (xuntil6(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4820, 4816])).
% 13.48/9.23 tff(4822,plain,
% 13.48/9.23 ($false),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4799, 4821, 4814])).
% 13.48/9.23 tff(4823,plain,(always3(s66) | xuntil6(s66)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.23 tff(4824,plain,
% 13.48/9.23 (always3(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4823, 4801])).
% 13.48/9.23 tff(4825,plain,
% 13.48/9.23 (succ(s66, s67) <=> succ(s66, s67)),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4826,axiom,(succ(s66, s67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound67')).
% 13.48/9.23 tff(4827,plain,
% 13.48/9.23 (succ(s66, s67)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4826, 4825])).
% 13.48/9.23 tff(4828,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4829,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4830,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4829, 4828])).
% 13.48/9.23 tff(4831,plain,
% 13.48/9.23 (trans(s66, s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4830, 4827, 52])).
% 13.48/9.23 tff(4832,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4833,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s66, s67)) | (~always3(s66)) | always3(s67))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4834,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s66, s67)) | (~always3(s66)) | always3(s67)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4833, 4832])).
% 13.48/9.23 tff(4835,plain,
% 13.48/9.23 ((~always3(s66)) | always3(s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4834, 125, 4831])).
% 13.48/9.23 tff(4836,plain,
% 13.48/9.23 (always3(s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4835, 4824])).
% 13.48/9.23 tff(4837,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4838,plain,
% 13.48/9.23 (((~m_main_v_state(s67, c_busy)) | (~always3(s67))) <=> ((~always3(s67)) | (~m_main_v_state(s67, c_busy)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4839,plain,
% 13.48/9.23 (((~![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))))),
% 13.48/9.23 inference(monotonicity,[status(thm)],[4838])).
% 13.48/9.23 tff(4840,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(transitivity,[status(thm)],[4839, 4837])).
% 13.48/9.23 tff(4841,plain,
% 13.48/9.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s67, c_busy)) | (~always3(s67)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4842,plain,
% 13.48/9.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s67)) | (~m_main_v_state(s67, c_busy))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 13.48/9.23 tff(4843,plain,
% 13.48/9.23 (~m_main_v_state(s67, c_busy)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4842, 85, 4836])).
% 13.48/9.23 tff(4844,assumption,(until5(s66)), introduced(assumption)).
% 13.48/9.23 tff(4845,plain,
% 13.48/9.23 (xuntil6(s66) | node4(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4812, 294, 4844])).
% 13.48/9.23 tff(4846,plain,
% 13.48/9.23 (node4(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4845, 4801])).
% 13.48/9.23 tff(4847,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4848,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s66) | (~node4(s66)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4849,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s66) | (~node4(s66))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 13.48/9.23 tff(4850,plain,
% 13.48/9.23 (m_main_v_request(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4849, 21, 4846])).
% 13.48/9.23 tff(4851,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4852,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s66, s67)) | node2(s66, s67))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4853,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s66, s67)) | node2(s66, s67)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 13.48/9.23 tff(4854,plain,
% 13.48/9.23 (node2(s66, s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4853, 7, 4831])).
% 13.48/9.23 tff(4855,plain,
% 13.48/9.23 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4856,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4857,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4856, 4855])).
% 13.48/9.23 tff(4858,plain,
% 13.48/9.23 ((~m_main_v_state(s66, c_ready)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66))),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4857, 73, 4854])).
% 13.48/9.23 tff(4859,plain,
% 13.48/9.23 (~m_main_v_state(s66, c_ready)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4858, 4850, 4843])).
% 13.48/9.23 tff(4860,plain,
% 13.48/9.23 (~m_main_v_state(s66, c_busy)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[114, 85, 4824])).
% 13.48/9.23 tff(4861,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4862,plain,
% 13.48/9.23 ((~![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))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4863,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 13.48/9.23 tff(4864,plain,
% 13.48/9.23 ($false),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4863, 102, 4860, 4859])).
% 13.48/9.23 tff(4865,plain,(xuntil6(s66) | (~until5(s66))), inference(lemma,lemma(discharge,[]))).
% 13.48/9.23 tff(4866,plain,
% 13.48/9.23 (~until5(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4865, 4801])).
% 13.48/9.23 tff(4867,plain,
% 13.48/9.23 (~xuntil6(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4799, 4866])).
% 13.48/9.23 tff(4868,assumption,(until5(s65)), introduced(assumption)).
% 13.48/9.23 tff(4869,plain,
% 13.48/9.23 (xuntil6(s65) | node4(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4793, 294, 4868])).
% 13.48/9.23 tff(4870,plain,
% 13.48/9.23 (node4(s65)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4869, 4867])).
% 13.48/9.23 tff(4871,plain,
% 13.48/9.23 (m_main_v_state(s66, c_busy)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[107, 4870])).
% 13.48/9.23 tff(4872,plain,
% 13.48/9.23 ($false),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[114, 85, 4824, 4871])).
% 13.48/9.23 tff(4873,plain,(xuntil6(s66) | (~until5(s65))), inference(lemma,lemma(discharge,[]))).
% 13.48/9.23 tff(4874,plain,
% 13.48/9.23 (xuntil6(s66)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4873, 4787])).
% 13.48/9.23 tff(4875,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4876,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4877,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4876, 4875])).
% 13.48/9.23 tff(4878,plain,
% 13.48/9.23 ((~xuntil6(s66)) | until5(s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4877, 4827, 312])).
% 13.48/9.23 tff(4879,plain,
% 13.48/9.23 (until5(s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4878, 4874])).
% 13.48/9.23 tff(4880,assumption,(node4(s67)), introduced(assumption)).
% 13.48/9.23 tff(4881,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4882,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s67) | (~node4(s67)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4883,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s67) | (~node4(s67))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 13.48/9.23 tff(4884,plain,
% 13.48/9.23 (m_main_v_request(s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4883, 21, 4880])).
% 13.48/9.23 tff(4885,plain,
% 13.48/9.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4886,plain,
% 13.48/9.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4887,plain,
% 13.48/9.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 13.48/9.23 tff(4888,plain,
% 13.48/9.23 (always3(s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4887, 36, 4880])).
% 13.48/9.23 tff(4889,plain,
% 13.48/9.23 (succ(s67, s68) <=> succ(s67, s68)),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4890,axiom,(succ(s67, s68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound68')).
% 13.48/9.23 tff(4891,plain,
% 13.48/9.23 (succ(s67, s68)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 13.48/9.23 tff(4892,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4893,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4894,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 13.48/9.23 tff(4895,plain,
% 13.48/9.23 (trans(s67, s68)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4894, 4891, 52])).
% 13.48/9.23 tff(4896,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4897,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s67, s68)) | (~always3(s67)) | always3(s68))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4898,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s67, s68)) | (~always3(s67)) | always3(s68)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 13.48/9.23 tff(4899,plain,
% 13.48/9.23 ((~always3(s67)) | always3(s68)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4898, 125, 4895])).
% 13.48/9.23 tff(4900,plain,
% 13.48/9.23 (always3(s68)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4899, 4888])).
% 13.48/9.23 tff(4901,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4902,plain,
% 13.48/9.23 (((~m_main_v_state(s68, c_busy)) | (~always3(s68))) <=> ((~always3(s68)) | (~m_main_v_state(s68, c_busy)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4903,plain,
% 13.48/9.23 (((~![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))))),
% 13.48/9.23 inference(monotonicity,[status(thm)],[4902])).
% 13.48/9.23 tff(4904,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(transitivity,[status(thm)],[4903, 4901])).
% 13.48/9.23 tff(4905,plain,
% 13.48/9.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s68, c_busy)) | (~always3(s68)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4906,plain,
% 13.48/9.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s68)) | (~m_main_v_state(s68, c_busy))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 13.48/9.23 tff(4907,plain,
% 13.48/9.23 (~m_main_v_state(s68, c_busy)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4906, 85, 4900])).
% 13.48/9.23 tff(4908,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4909,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s67, s68)) | node2(s67, s68))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4910,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s67, s68)) | node2(s67, s68)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 13.48/9.23 tff(4911,plain,
% 13.48/9.23 (node2(s67, s68)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4910, 7, 4895])).
% 13.48/9.23 tff(4912,plain,
% 13.48/9.23 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4913,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4914,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 13.48/9.23 tff(4915,plain,
% 13.48/9.23 ((~m_main_v_state(s67, c_ready)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67))),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4914, 73, 4911])).
% 13.48/9.23 tff(4916,plain,
% 13.48/9.23 (~m_main_v_state(s67, c_ready)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4915, 4907, 4884])).
% 13.48/9.23 tff(4917,plain,
% 13.48/9.23 (~m_main_v_state(s67, c_busy)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4842, 85, 4888])).
% 13.48/9.23 tff(4918,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4919,plain,
% 13.48/9.23 ((~![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))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4920,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4919, 4918])).
% 13.48/9.23 tff(4921,plain,
% 13.48/9.23 ($false),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4920, 102, 4917, 4916])).
% 13.48/9.23 tff(4922,plain,(~node4(s67)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.23 tff(4923,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4924,plain,
% 13.48/9.23 ((node4(s67) | (~until5(s67)) | xuntil6(s67)) <=> (xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4925,plain,
% 13.48/9.23 (((~![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))))),
% 13.48/9.23 inference(monotonicity,[status(thm)],[4924])).
% 13.48/9.23 tff(4926,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(transitivity,[status(thm)],[4925, 4923])).
% 13.48/9.23 tff(4927,plain,
% 13.48/9.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4928,plain,
% 13.48/9.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4927, 4926])).
% 13.48/9.23 tff(4929,plain,
% 13.48/9.23 (xuntil6(s67) | (~until5(s67))),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4928, 294, 4922])).
% 13.48/9.23 tff(4930,plain,
% 13.48/9.23 (xuntil6(s67)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4929, 4879])).
% 13.48/9.23 tff(4931,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4932,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4933,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4932, 4931])).
% 13.48/9.23 tff(4934,plain,
% 13.48/9.23 ((~xuntil6(s67)) | until5(s68)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4933, 4891, 312])).
% 13.48/9.23 tff(4935,plain,
% 13.48/9.23 (until5(s68)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4934, 4930])).
% 13.48/9.23 tff(4936,assumption,(node4(s68)), introduced(assumption)).
% 13.48/9.23 tff(4937,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4938,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s68) | (~node4(s68)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4939,plain,
% 13.48/9.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s68) | (~node4(s68))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 13.48/9.23 tff(4940,plain,
% 13.48/9.23 (m_main_v_request(s68)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4939, 21, 4936])).
% 13.48/9.23 tff(4941,plain,
% 13.48/9.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4942,plain,
% 13.48/9.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4943,plain,
% 13.48/9.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 13.48/9.23 tff(4944,plain,
% 13.48/9.23 (always3(s68)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4943, 36, 4936])).
% 13.48/9.23 tff(4945,plain,
% 13.48/9.23 (succ(s68, s69) <=> succ(s68, s69)),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4946,axiom,(succ(s68, s69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound69')).
% 13.48/9.23 tff(4947,plain,
% 13.48/9.23 (succ(s68, s69)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 13.48/9.23 tff(4948,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4949,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4950,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4949, 4948])).
% 13.48/9.23 tff(4951,plain,
% 13.48/9.23 (trans(s68, s69)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4950, 4947, 52])).
% 13.48/9.23 tff(4952,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4953,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s68, s69)) | (~always3(s68)) | always3(s69))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4954,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s68, s69)) | (~always3(s68)) | always3(s69)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 13.48/9.23 tff(4955,plain,
% 13.48/9.23 ((~always3(s68)) | always3(s69)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4954, 125, 4951])).
% 13.48/9.23 tff(4956,plain,
% 13.48/9.23 (always3(s69)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4955, 4944])).
% 13.48/9.23 tff(4957,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4958,plain,
% 13.48/9.23 (((~m_main_v_state(s69, c_busy)) | (~always3(s69))) <=> ((~always3(s69)) | (~m_main_v_state(s69, c_busy)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4959,plain,
% 13.48/9.23 (((~![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))))),
% 13.48/9.23 inference(monotonicity,[status(thm)],[4958])).
% 13.48/9.23 tff(4960,plain,
% 13.48/9.23 (((~![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)))),
% 13.48/9.23 inference(transitivity,[status(thm)],[4959, 4957])).
% 13.48/9.23 tff(4961,plain,
% 13.48/9.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s69, c_busy)) | (~always3(s69)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4962,plain,
% 13.48/9.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s69)) | (~m_main_v_state(s69, c_busy))),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 13.48/9.23 tff(4963,plain,
% 13.48/9.23 (~m_main_v_state(s69, c_busy)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4962, 85, 4956])).
% 13.48/9.23 tff(4964,plain,
% 13.48/9.23 (((~![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))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4965,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s68, s69)) | node2(s68, s69))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4966,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s68, s69)) | node2(s68, s69)),
% 13.48/9.23 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 13.48/9.23 tff(4967,plain,
% 13.48/9.23 (node2(s68, s69)),
% 13.48/9.23 inference(unit_resolution,[status(thm)],[4966, 7, 4951])).
% 13.48/9.23 tff(4968,plain,
% 13.48/9.23 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.23 inference(rewrite,[status(thm)],[])).
% 13.48/9.23 tff(4969,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.23 inference(quant_inst,[status(thm)],[])).
% 13.48/9.23 tff(4970,plain,
% 13.48/9.23 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 13.48/9.24 tff(4971,plain,
% 13.48/9.24 ((~m_main_v_state(s68, c_ready)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68))),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4970, 73, 4967])).
% 13.48/9.24 tff(4972,plain,
% 13.48/9.24 (~m_main_v_state(s68, c_ready)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4971, 4963, 4940])).
% 13.48/9.24 tff(4973,plain,
% 13.48/9.24 (~m_main_v_state(s68, c_busy)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4906, 85, 4944])).
% 13.48/9.24 tff(4974,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(4975,plain,
% 13.48/9.24 ((~![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))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(4976,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[4975, 4974])).
% 13.48/9.24 tff(4977,plain,
% 13.48/9.24 ($false),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4976, 102, 4973, 4972])).
% 13.48/9.24 tff(4978,plain,(~node4(s68)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.24 tff(4979,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(4980,plain,
% 13.48/9.24 ((node4(s68) | (~until5(s68)) | xuntil6(s68)) <=> (xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(4981,plain,
% 13.48/9.24 (((~![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))))),
% 13.48/9.24 inference(monotonicity,[status(thm)],[4980])).
% 13.48/9.24 tff(4982,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(transitivity,[status(thm)],[4981, 4979])).
% 13.48/9.24 tff(4983,plain,
% 13.48/9.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(4984,plain,
% 13.48/9.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[4983, 4982])).
% 13.48/9.24 tff(4985,plain,
% 13.48/9.24 (xuntil6(s68) | (~until5(s68))),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4984, 294, 4978])).
% 13.48/9.24 tff(4986,plain,
% 13.48/9.24 (xuntil6(s68)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4985, 4935])).
% 13.48/9.24 tff(4987,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(4988,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(4989,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 13.48/9.24 tff(4990,plain,
% 13.48/9.24 ((~xuntil6(s68)) | until5(s69)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4989, 4947, 312])).
% 13.48/9.24 tff(4991,plain,
% 13.48/9.24 (until5(s69)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4990, 4986])).
% 13.48/9.24 tff(4992,assumption,(node4(s69)), introduced(assumption)).
% 13.48/9.24 tff(4993,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(4994,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s69) | (~node4(s69)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(4995,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s69) | (~node4(s69))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[4994, 4993])).
% 13.48/9.24 tff(4996,plain,
% 13.48/9.24 (m_main_v_request(s69)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4995, 21, 4992])).
% 13.48/9.24 tff(4997,plain,
% 13.48/9.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(4998,plain,
% 13.48/9.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(4999,plain,
% 13.48/9.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[4998, 4997])).
% 13.48/9.24 tff(5000,plain,
% 13.48/9.24 (always3(s69)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4999, 36, 4992])).
% 13.48/9.24 tff(5001,plain,
% 13.48/9.24 (succ(s69, s70) <=> succ(s69, s70)),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5002,axiom,(succ(s69, s70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound70')).
% 13.48/9.24 tff(5003,plain,
% 13.48/9.24 (succ(s69, s70)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 13.48/9.24 tff(5004,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5005,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5006,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5005, 5004])).
% 13.48/9.24 tff(5007,plain,
% 13.48/9.24 (trans(s69, s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5006, 5003, 52])).
% 13.48/9.24 tff(5008,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5009,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s69, s70)) | (~always3(s69)) | always3(s70))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5010,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s69, s70)) | (~always3(s69)) | always3(s70)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5009, 5008])).
% 13.48/9.24 tff(5011,plain,
% 13.48/9.24 ((~always3(s69)) | always3(s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5010, 125, 5007])).
% 13.48/9.24 tff(5012,plain,
% 13.48/9.24 (always3(s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5011, 5000])).
% 13.48/9.24 tff(5013,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5014,plain,
% 13.48/9.24 (((~m_main_v_state(s70, c_busy)) | (~always3(s70))) <=> ((~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5015,plain,
% 13.48/9.24 (((~![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))))),
% 13.48/9.24 inference(monotonicity,[status(thm)],[5014])).
% 13.48/9.24 tff(5016,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(transitivity,[status(thm)],[5015, 5013])).
% 13.48/9.24 tff(5017,plain,
% 13.48/9.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5018,plain,
% 13.48/9.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 13.48/9.24 tff(5019,plain,
% 13.48/9.24 (~m_main_v_state(s70, c_busy)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5018, 85, 5012])).
% 13.48/9.24 tff(5020,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5021,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s69, s70)) | node2(s69, s70))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5022,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s69, s70)) | node2(s69, s70)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 13.48/9.24 tff(5023,plain,
% 13.48/9.24 (node2(s69, s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5022, 7, 5007])).
% 13.48/9.24 tff(5024,plain,
% 13.48/9.24 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5025,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5026,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5025, 5024])).
% 13.48/9.24 tff(5027,plain,
% 13.48/9.24 ((~m_main_v_state(s69, c_ready)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69))),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5026, 73, 5023])).
% 13.48/9.24 tff(5028,plain,
% 13.48/9.24 (~m_main_v_state(s69, c_ready)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5027, 5019, 4996])).
% 13.48/9.24 tff(5029,plain,
% 13.48/9.24 (~m_main_v_state(s69, c_busy)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[4962, 85, 5000])).
% 13.48/9.24 tff(5030,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5031,plain,
% 13.48/9.24 ((~![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))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5032,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5031, 5030])).
% 13.48/9.24 tff(5033,plain,
% 13.48/9.24 ($false),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5032, 102, 5029, 5028])).
% 13.48/9.24 tff(5034,plain,(~node4(s69)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.24 tff(5035,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5036,plain,
% 13.48/9.24 ((node4(s69) | (~until5(s69)) | xuntil6(s69)) <=> (xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5037,plain,
% 13.48/9.24 (((~![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))))),
% 13.48/9.24 inference(monotonicity,[status(thm)],[5036])).
% 13.48/9.24 tff(5038,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(transitivity,[status(thm)],[5037, 5035])).
% 13.48/9.24 tff(5039,plain,
% 13.48/9.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5040,plain,
% 13.48/9.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 13.48/9.24 tff(5041,plain,
% 13.48/9.24 (xuntil6(s69) | (~until5(s69))),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5040, 294, 5034])).
% 13.48/9.24 tff(5042,plain,
% 13.48/9.24 (xuntil6(s69)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5041, 4991])).
% 13.48/9.24 tff(5043,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5044,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5045,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 13.48/9.24 tff(5046,plain,
% 13.48/9.24 ((~xuntil6(s69)) | until5(s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5045, 5003, 312])).
% 13.48/9.24 tff(5047,plain,
% 13.48/9.24 (until5(s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5046, 5042])).
% 13.48/9.24 tff(5048,assumption,(node4(s70)), introduced(assumption)).
% 13.48/9.24 tff(5049,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5050,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s70) | (~node4(s70)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5051,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s70) | (~node4(s70))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5050, 5049])).
% 13.48/9.24 tff(5052,plain,
% 13.48/9.24 (m_main_v_request(s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5051, 21, 5048])).
% 13.48/9.24 tff(5053,plain,
% 13.48/9.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5054,plain,
% 13.48/9.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5055,plain,
% 13.48/9.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5054, 5053])).
% 13.48/9.24 tff(5056,plain,
% 13.48/9.24 (always3(s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5055, 36, 5048])).
% 13.48/9.24 tff(5057,plain,
% 13.48/9.24 (succ(s70, s71) <=> succ(s70, s71)),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5058,axiom,(succ(s70, s71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound71')).
% 13.48/9.24 tff(5059,plain,
% 13.48/9.24 (succ(s70, s71)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5058, 5057])).
% 13.48/9.24 tff(5060,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5061,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5062,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 13.48/9.24 tff(5063,plain,
% 13.48/9.24 (trans(s70, s71)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5062, 5059, 52])).
% 13.48/9.24 tff(5064,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5065,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s70, s71)) | (~always3(s70)) | always3(s71))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5066,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s70, s71)) | (~always3(s70)) | always3(s71)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 13.48/9.24 tff(5067,plain,
% 13.48/9.24 ((~always3(s70)) | always3(s71)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5066, 125, 5063])).
% 13.48/9.24 tff(5068,plain,
% 13.48/9.24 (always3(s71)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5067, 5056])).
% 13.48/9.24 tff(5069,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5070,plain,
% 13.48/9.24 (((~m_main_v_state(s71, c_busy)) | (~always3(s71))) <=> ((~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5071,plain,
% 13.48/9.24 (((~![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))))),
% 13.48/9.24 inference(monotonicity,[status(thm)],[5070])).
% 13.48/9.24 tff(5072,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(transitivity,[status(thm)],[5071, 5069])).
% 13.48/9.24 tff(5073,plain,
% 13.48/9.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5074,plain,
% 13.48/9.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 13.48/9.24 tff(5075,plain,
% 13.48/9.24 (~m_main_v_state(s71, c_busy)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5074, 85, 5068])).
% 13.48/9.24 tff(5076,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5077,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s70, s71)) | node2(s70, s71))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5078,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s70, s71)) | node2(s70, s71)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5077, 5076])).
% 13.48/9.24 tff(5079,plain,
% 13.48/9.24 (node2(s70, s71)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5078, 7, 5063])).
% 13.48/9.24 tff(5080,plain,
% 13.48/9.24 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5081,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5082,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5081, 5080])).
% 13.48/9.24 tff(5083,plain,
% 13.48/9.24 ((~m_main_v_state(s70, c_ready)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70))),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5082, 73, 5079])).
% 13.48/9.24 tff(5084,plain,
% 13.48/9.24 (~m_main_v_state(s70, c_ready)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5083, 5075, 5052])).
% 13.48/9.24 tff(5085,plain,
% 13.48/9.24 (~m_main_v_state(s70, c_busy)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5018, 85, 5056])).
% 13.48/9.24 tff(5086,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5087,plain,
% 13.48/9.24 ((~![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))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5088,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5087, 5086])).
% 13.48/9.24 tff(5089,plain,
% 13.48/9.24 ($false),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5088, 102, 5085, 5084])).
% 13.48/9.24 tff(5090,plain,(~node4(s70)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.24 tff(5091,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5092,plain,
% 13.48/9.24 ((node4(s70) | (~until5(s70)) | xuntil6(s70)) <=> (xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5093,plain,
% 13.48/9.24 (((~![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))))),
% 13.48/9.24 inference(monotonicity,[status(thm)],[5092])).
% 13.48/9.24 tff(5094,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(transitivity,[status(thm)],[5093, 5091])).
% 13.48/9.24 tff(5095,plain,
% 13.48/9.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5096,plain,
% 13.48/9.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5095, 5094])).
% 13.48/9.24 tff(5097,plain,
% 13.48/9.24 (xuntil6(s70) | (~until5(s70))),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5096, 294, 5090])).
% 13.48/9.24 tff(5098,plain,
% 13.48/9.24 (xuntil6(s70)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5097, 5047])).
% 13.48/9.24 tff(5099,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5100,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5101,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 13.48/9.24 tff(5102,plain,
% 13.48/9.24 ((~xuntil6(s70)) | until5(s71)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5101, 5059, 312])).
% 13.48/9.24 tff(5103,plain,
% 13.48/9.24 (until5(s71)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5102, 5098])).
% 13.48/9.24 tff(5104,assumption,(node4(s71)), introduced(assumption)).
% 13.48/9.24 tff(5105,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5106,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s71) | (~node4(s71)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5107,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s71) | (~node4(s71))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 13.48/9.24 tff(5108,plain,
% 13.48/9.24 (m_main_v_request(s71)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5107, 21, 5104])).
% 13.48/9.24 tff(5109,plain,
% 13.48/9.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5110,plain,
% 13.48/9.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5111,plain,
% 13.48/9.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 13.48/9.24 tff(5112,plain,
% 13.48/9.24 (always3(s71)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5111, 36, 5104])).
% 13.48/9.24 tff(5113,plain,
% 13.48/9.24 (succ(s71, s72) <=> succ(s71, s72)),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5114,axiom,(succ(s71, s72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound72')).
% 13.48/9.24 tff(5115,plain,
% 13.48/9.24 (succ(s71, s72)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5114, 5113])).
% 13.48/9.24 tff(5116,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5117,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5118,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5117, 5116])).
% 13.48/9.24 tff(5119,plain,
% 13.48/9.24 (trans(s71, s72)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5118, 5115, 52])).
% 13.48/9.24 tff(5120,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5121,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s71, s72)) | (~always3(s71)) | always3(s72))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5122,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s71, s72)) | (~always3(s71)) | always3(s72)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5121, 5120])).
% 13.48/9.24 tff(5123,plain,
% 13.48/9.24 ((~always3(s71)) | always3(s72)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5122, 125, 5119])).
% 13.48/9.24 tff(5124,plain,
% 13.48/9.24 (always3(s72)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5123, 5112])).
% 13.48/9.24 tff(5125,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5126,plain,
% 13.48/9.24 (((~m_main_v_state(s72, c_busy)) | (~always3(s72))) <=> ((~always3(s72)) | (~m_main_v_state(s72, c_busy)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5127,plain,
% 13.48/9.24 (((~![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))))),
% 13.48/9.24 inference(monotonicity,[status(thm)],[5126])).
% 13.48/9.24 tff(5128,plain,
% 13.48/9.24 (((~![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)))),
% 13.48/9.24 inference(transitivity,[status(thm)],[5127, 5125])).
% 13.48/9.24 tff(5129,plain,
% 13.48/9.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s72, c_busy)) | (~always3(s72)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5130,plain,
% 13.48/9.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s72)) | (~m_main_v_state(s72, c_busy))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5129, 5128])).
% 13.48/9.24 tff(5131,plain,
% 13.48/9.24 (~m_main_v_state(s72, c_busy)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5130, 85, 5124])).
% 13.48/9.24 tff(5132,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5133,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s71, s72)) | node2(s71, s72))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5134,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s71, s72)) | node2(s71, s72)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5133, 5132])).
% 13.48/9.24 tff(5135,plain,
% 13.48/9.24 (node2(s71, s72)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5134, 7, 5119])).
% 13.48/9.24 tff(5136,plain,
% 13.48/9.24 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5137,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5138,plain,
% 13.48/9.24 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5137, 5136])).
% 13.48/9.24 tff(5139,plain,
% 13.48/9.24 ((~m_main_v_state(s71, c_ready)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71))),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5138, 73, 5135])).
% 13.48/9.24 tff(5140,plain,
% 13.48/9.24 (~m_main_v_state(s71, c_ready)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5139, 5131, 5108])).
% 13.48/9.24 tff(5141,plain,
% 13.48/9.24 (~m_main_v_state(s71, c_busy)),
% 13.48/9.24 inference(unit_resolution,[status(thm)],[5074, 85, 5112])).
% 13.48/9.24 tff(5142,plain,
% 13.48/9.24 (((~![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))),
% 13.48/9.24 inference(rewrite,[status(thm)],[])).
% 13.48/9.24 tff(5143,plain,
% 13.48/9.24 ((~![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))),
% 13.48/9.24 inference(quant_inst,[status(thm)],[])).
% 13.48/9.24 tff(5144,plain,
% 13.48/9.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready)),
% 13.48/9.24 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 13.48/9.25 tff(5145,plain,
% 13.48/9.25 ($false),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5144, 102, 5141, 5140])).
% 13.48/9.25 tff(5146,plain,(~node4(s71)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.25 tff(5147,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5148,plain,
% 13.48/9.25 ((node4(s71) | (~until5(s71)) | xuntil6(s71)) <=> (xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5149,plain,
% 13.48/9.25 (((~![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))))),
% 13.48/9.25 inference(monotonicity,[status(thm)],[5148])).
% 13.48/9.25 tff(5150,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(transitivity,[status(thm)],[5149, 5147])).
% 13.48/9.25 tff(5151,plain,
% 13.48/9.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5152,plain,
% 13.48/9.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5151, 5150])).
% 13.48/9.25 tff(5153,plain,
% 13.48/9.25 (xuntil6(s71) | (~until5(s71))),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5152, 294, 5146])).
% 13.48/9.25 tff(5154,plain,
% 13.48/9.25 (xuntil6(s71)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5153, 5103])).
% 13.48/9.25 tff(5155,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5156,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5157,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5156, 5155])).
% 13.48/9.25 tff(5158,plain,
% 13.48/9.25 ((~xuntil6(s71)) | until5(s72)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5157, 5115, 312])).
% 13.48/9.25 tff(5159,plain,
% 13.48/9.25 (until5(s72)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5158, 5154])).
% 13.48/9.25 tff(5160,assumption,(node4(s72)), introduced(assumption)).
% 13.48/9.25 tff(5161,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5162,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s72) | (~node4(s72)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5163,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s72) | (~node4(s72))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 13.48/9.25 tff(5164,plain,
% 13.48/9.25 (m_main_v_request(s72)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5163, 21, 5160])).
% 13.48/9.25 tff(5165,plain,
% 13.48/9.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5166,plain,
% 13.48/9.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5167,plain,
% 13.48/9.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5166, 5165])).
% 13.48/9.25 tff(5168,plain,
% 13.48/9.25 (always3(s72)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5167, 36, 5160])).
% 13.48/9.25 tff(5169,plain,
% 13.48/9.25 (succ(s72, s73) <=> succ(s72, s73)),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5170,axiom,(succ(s72, s73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound73')).
% 13.48/9.25 tff(5171,plain,
% 13.48/9.25 (succ(s72, s73)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5170, 5169])).
% 13.48/9.25 tff(5172,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5173,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5174,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 13.48/9.25 tff(5175,plain,
% 13.48/9.25 (trans(s72, s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5174, 5171, 52])).
% 13.48/9.25 tff(5176,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5177,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s72, s73)) | (~always3(s72)) | always3(s73))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5178,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s72, s73)) | (~always3(s72)) | always3(s73)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5177, 5176])).
% 13.48/9.25 tff(5179,plain,
% 13.48/9.25 ((~always3(s72)) | always3(s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5178, 125, 5175])).
% 13.48/9.25 tff(5180,plain,
% 13.48/9.25 (always3(s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5179, 5168])).
% 13.48/9.25 tff(5181,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5182,plain,
% 13.48/9.25 (((~m_main_v_state(s73, c_busy)) | (~always3(s73))) <=> ((~always3(s73)) | (~m_main_v_state(s73, c_busy)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5183,plain,
% 13.48/9.25 (((~![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))))),
% 13.48/9.25 inference(monotonicity,[status(thm)],[5182])).
% 13.48/9.25 tff(5184,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(transitivity,[status(thm)],[5183, 5181])).
% 13.48/9.25 tff(5185,plain,
% 13.48/9.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s73, c_busy)) | (~always3(s73)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5186,plain,
% 13.48/9.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s73)) | (~m_main_v_state(s73, c_busy))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 13.48/9.25 tff(5187,plain,
% 13.48/9.25 (~m_main_v_state(s73, c_busy)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5186, 85, 5180])).
% 13.48/9.25 tff(5188,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5189,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s72, s73)) | node2(s72, s73))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5190,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s72, s73)) | node2(s72, s73)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5189, 5188])).
% 13.48/9.25 tff(5191,plain,
% 13.48/9.25 (node2(s72, s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5190, 7, 5175])).
% 13.48/9.25 tff(5192,plain,
% 13.48/9.25 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5193,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5194,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5193, 5192])).
% 13.48/9.25 tff(5195,plain,
% 13.48/9.25 ((~m_main_v_state(s72, c_ready)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72))),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5194, 73, 5191])).
% 13.48/9.25 tff(5196,plain,
% 13.48/9.25 (~m_main_v_state(s72, c_ready)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5195, 5187, 5164])).
% 13.48/9.25 tff(5197,plain,
% 13.48/9.25 (~m_main_v_state(s72, c_busy)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5130, 85, 5168])).
% 13.48/9.25 tff(5198,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5199,plain,
% 13.48/9.25 ((~![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))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5200,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5199, 5198])).
% 13.48/9.25 tff(5201,plain,
% 13.48/9.25 ($false),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5200, 102, 5197, 5196])).
% 13.48/9.25 tff(5202,plain,(~node4(s72)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.25 tff(5203,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5204,plain,
% 13.48/9.25 ((node4(s72) | (~until5(s72)) | xuntil6(s72)) <=> (xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5205,plain,
% 13.48/9.25 (((~![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))))),
% 13.48/9.25 inference(monotonicity,[status(thm)],[5204])).
% 13.48/9.25 tff(5206,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(transitivity,[status(thm)],[5205, 5203])).
% 13.48/9.25 tff(5207,plain,
% 13.48/9.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5208,plain,
% 13.48/9.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5207, 5206])).
% 13.48/9.25 tff(5209,plain,
% 13.48/9.25 (xuntil6(s72) | (~until5(s72))),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5208, 294, 5202])).
% 13.48/9.25 tff(5210,plain,
% 13.48/9.25 (xuntil6(s72)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5209, 5159])).
% 13.48/9.25 tff(5211,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5212,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5213,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5212, 5211])).
% 13.48/9.25 tff(5214,plain,
% 13.48/9.25 ((~xuntil6(s72)) | until5(s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5213, 5171, 312])).
% 13.48/9.25 tff(5215,plain,
% 13.48/9.25 (until5(s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5214, 5210])).
% 13.48/9.25 tff(5216,assumption,(node4(s73)), introduced(assumption)).
% 13.48/9.25 tff(5217,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5218,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s73) | (~node4(s73)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5219,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s73) | (~node4(s73))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 13.48/9.25 tff(5220,plain,
% 13.48/9.25 (m_main_v_request(s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5219, 21, 5216])).
% 13.48/9.25 tff(5221,plain,
% 13.48/9.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5222,plain,
% 13.48/9.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5223,plain,
% 13.48/9.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5222, 5221])).
% 13.48/9.25 tff(5224,plain,
% 13.48/9.25 (always3(s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5223, 36, 5216])).
% 13.48/9.25 tff(5225,plain,
% 13.48/9.25 (succ(s73, s74) <=> succ(s73, s74)),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5226,axiom,(succ(s73, s74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound74')).
% 13.48/9.25 tff(5227,plain,
% 13.48/9.25 (succ(s73, s74)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5226, 5225])).
% 13.48/9.25 tff(5228,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5229,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5230,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5229, 5228])).
% 13.48/9.25 tff(5231,plain,
% 13.48/9.25 (trans(s73, s74)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5230, 5227, 52])).
% 13.48/9.25 tff(5232,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5233,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s73, s74)) | (~always3(s73)) | always3(s74))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5234,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s73, s74)) | (~always3(s73)) | always3(s74)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5233, 5232])).
% 13.48/9.25 tff(5235,plain,
% 13.48/9.25 ((~always3(s73)) | always3(s74)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5234, 125, 5231])).
% 13.48/9.25 tff(5236,plain,
% 13.48/9.25 (always3(s74)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5235, 5224])).
% 13.48/9.25 tff(5237,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5238,plain,
% 13.48/9.25 (((~m_main_v_state(s74, c_busy)) | (~always3(s74))) <=> ((~always3(s74)) | (~m_main_v_state(s74, c_busy)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5239,plain,
% 13.48/9.25 (((~![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))))),
% 13.48/9.25 inference(monotonicity,[status(thm)],[5238])).
% 13.48/9.25 tff(5240,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(transitivity,[status(thm)],[5239, 5237])).
% 13.48/9.25 tff(5241,plain,
% 13.48/9.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s74, c_busy)) | (~always3(s74)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5242,plain,
% 13.48/9.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s74)) | (~m_main_v_state(s74, c_busy))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5241, 5240])).
% 13.48/9.25 tff(5243,plain,
% 13.48/9.25 (~m_main_v_state(s74, c_busy)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5242, 85, 5236])).
% 13.48/9.25 tff(5244,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5245,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s73, s74)) | node2(s73, s74))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5246,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s73, s74)) | node2(s73, s74)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5245, 5244])).
% 13.48/9.25 tff(5247,plain,
% 13.48/9.25 (node2(s73, s74)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5246, 7, 5231])).
% 13.48/9.25 tff(5248,plain,
% 13.48/9.25 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5249,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5250,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5249, 5248])).
% 13.48/9.25 tff(5251,plain,
% 13.48/9.25 ((~m_main_v_state(s73, c_ready)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73))),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5250, 73, 5247])).
% 13.48/9.25 tff(5252,plain,
% 13.48/9.25 (~m_main_v_state(s73, c_ready)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5251, 5243, 5220])).
% 13.48/9.25 tff(5253,plain,
% 13.48/9.25 (~m_main_v_state(s73, c_busy)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5186, 85, 5224])).
% 13.48/9.25 tff(5254,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5255,plain,
% 13.48/9.25 ((~![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))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5256,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5255, 5254])).
% 13.48/9.25 tff(5257,plain,
% 13.48/9.25 ($false),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5256, 102, 5253, 5252])).
% 13.48/9.25 tff(5258,plain,(~node4(s73)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.25 tff(5259,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5260,plain,
% 13.48/9.25 ((node4(s73) | (~until5(s73)) | xuntil6(s73)) <=> (xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5261,plain,
% 13.48/9.25 (((~![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))))),
% 13.48/9.25 inference(monotonicity,[status(thm)],[5260])).
% 13.48/9.25 tff(5262,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(transitivity,[status(thm)],[5261, 5259])).
% 13.48/9.25 tff(5263,plain,
% 13.48/9.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5264,plain,
% 13.48/9.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5263, 5262])).
% 13.48/9.25 tff(5265,plain,
% 13.48/9.25 (xuntil6(s73) | (~until5(s73))),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5264, 294, 5258])).
% 13.48/9.25 tff(5266,plain,
% 13.48/9.25 (xuntil6(s73)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5265, 5215])).
% 13.48/9.25 tff(5267,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5268,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5269,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 13.48/9.25 tff(5270,plain,
% 13.48/9.25 ((~xuntil6(s73)) | until5(s74)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5269, 5227, 312])).
% 13.48/9.25 tff(5271,plain,
% 13.48/9.25 (until5(s74)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5270, 5266])).
% 13.48/9.25 tff(5272,assumption,(node4(s74)), introduced(assumption)).
% 13.48/9.25 tff(5273,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5274,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s74) | (~node4(s74)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5275,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s74) | (~node4(s74))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5274, 5273])).
% 13.48/9.25 tff(5276,plain,
% 13.48/9.25 (m_main_v_request(s74)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5275, 21, 5272])).
% 13.48/9.25 tff(5277,plain,
% 13.48/9.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5278,plain,
% 13.48/9.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5279,plain,
% 13.48/9.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5278, 5277])).
% 13.48/9.25 tff(5280,plain,
% 13.48/9.25 (always3(s74)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5279, 36, 5272])).
% 13.48/9.25 tff(5281,plain,
% 13.48/9.25 (succ(s74, s75) <=> succ(s74, s75)),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5282,axiom,(succ(s74, s75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound75')).
% 13.48/9.25 tff(5283,plain,
% 13.48/9.25 (succ(s74, s75)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 13.48/9.25 tff(5284,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5285,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5286,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 13.48/9.25 tff(5287,plain,
% 13.48/9.25 (trans(s74, s75)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5286, 5283, 52])).
% 13.48/9.25 tff(5288,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5289,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s74, s75)) | (~always3(s74)) | always3(s75))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5290,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s74, s75)) | (~always3(s74)) | always3(s75)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5289, 5288])).
% 13.48/9.25 tff(5291,plain,
% 13.48/9.25 ((~always3(s74)) | always3(s75)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5290, 125, 5287])).
% 13.48/9.25 tff(5292,plain,
% 13.48/9.25 (always3(s75)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5291, 5280])).
% 13.48/9.25 tff(5293,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5294,plain,
% 13.48/9.25 (((~m_main_v_state(s75, c_busy)) | (~always3(s75))) <=> ((~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5295,plain,
% 13.48/9.25 (((~![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))))),
% 13.48/9.25 inference(monotonicity,[status(thm)],[5294])).
% 13.48/9.25 tff(5296,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(transitivity,[status(thm)],[5295, 5293])).
% 13.48/9.25 tff(5297,plain,
% 13.48/9.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5298,plain,
% 13.48/9.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5297, 5296])).
% 13.48/9.25 tff(5299,plain,
% 13.48/9.25 (~m_main_v_state(s75, c_busy)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5298, 85, 5292])).
% 13.48/9.25 tff(5300,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5301,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s74, s75)) | node2(s74, s75))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5302,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s74, s75)) | node2(s74, s75)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5301, 5300])).
% 13.48/9.25 tff(5303,plain,
% 13.48/9.25 (node2(s74, s75)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5302, 7, 5287])).
% 13.48/9.25 tff(5304,plain,
% 13.48/9.25 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5305,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5306,plain,
% 13.48/9.25 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5305, 5304])).
% 13.48/9.25 tff(5307,plain,
% 13.48/9.25 ((~m_main_v_state(s74, c_ready)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74))),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5306, 73, 5303])).
% 13.48/9.25 tff(5308,plain,
% 13.48/9.25 (~m_main_v_state(s74, c_ready)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5307, 5299, 5276])).
% 13.48/9.25 tff(5309,plain,
% 13.48/9.25 (~m_main_v_state(s74, c_busy)),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5242, 85, 5280])).
% 13.48/9.25 tff(5310,plain,
% 13.48/9.25 (((~![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))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5311,plain,
% 13.48/9.25 ((~![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))),
% 13.48/9.25 inference(quant_inst,[status(thm)],[])).
% 13.48/9.25 tff(5312,plain,
% 13.48/9.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready)),
% 13.48/9.25 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 13.48/9.25 tff(5313,plain,
% 13.48/9.25 ($false),
% 13.48/9.25 inference(unit_resolution,[status(thm)],[5312, 102, 5309, 5308])).
% 13.48/9.25 tff(5314,plain,(~node4(s74)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.25 tff(5315,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5316,plain,
% 13.48/9.25 ((node4(s74) | (~until5(s74)) | xuntil6(s74)) <=> (xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 13.48/9.25 inference(rewrite,[status(thm)],[])).
% 13.48/9.25 tff(5317,plain,
% 13.48/9.25 (((~![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))))),
% 13.48/9.25 inference(monotonicity,[status(thm)],[5316])).
% 13.48/9.25 tff(5318,plain,
% 13.48/9.25 (((~![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)))),
% 13.48/9.25 inference(transitivity,[status(thm)],[5317, 5315])).
% 13.48/9.25 tff(5319,plain,
% 13.48/9.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5320,plain,
% 13.48/9.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 13.48/9.26 tff(5321,plain,
% 13.48/9.26 (xuntil6(s74) | (~until5(s74))),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5320, 294, 5314])).
% 13.48/9.26 tff(5322,plain,
% 13.48/9.26 (xuntil6(s74)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5321, 5271])).
% 13.48/9.26 tff(5323,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5324,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5325,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 13.48/9.26 tff(5326,plain,
% 13.48/9.26 ((~xuntil6(s74)) | until5(s75)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5325, 5283, 312])).
% 13.48/9.26 tff(5327,plain,
% 13.48/9.26 (until5(s75)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5326, 5322])).
% 13.48/9.26 tff(5328,assumption,(node4(s75)), introduced(assumption)).
% 13.48/9.26 tff(5329,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5330,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s75) | (~node4(s75)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5331,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s75) | (~node4(s75))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 13.48/9.26 tff(5332,plain,
% 13.48/9.26 (m_main_v_request(s75)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5331, 21, 5328])).
% 13.48/9.26 tff(5333,plain,
% 13.48/9.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5334,plain,
% 13.48/9.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5335,plain,
% 13.48/9.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5334, 5333])).
% 13.48/9.26 tff(5336,plain,
% 13.48/9.26 (always3(s75)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5335, 36, 5328])).
% 13.48/9.26 tff(5337,plain,
% 13.48/9.26 (succ(s75, s76) <=> succ(s75, s76)),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5338,axiom,(succ(s75, s76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound76')).
% 13.48/9.26 tff(5339,plain,
% 13.48/9.26 (succ(s75, s76)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5338, 5337])).
% 13.48/9.26 tff(5340,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5341,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5342,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5341, 5340])).
% 13.48/9.26 tff(5343,plain,
% 13.48/9.26 (trans(s75, s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5342, 5339, 52])).
% 13.48/9.26 tff(5344,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5345,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s75, s76)) | (~always3(s75)) | always3(s76))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5346,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s75, s76)) | (~always3(s75)) | always3(s76)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5345, 5344])).
% 13.48/9.26 tff(5347,plain,
% 13.48/9.26 ((~always3(s75)) | always3(s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5346, 125, 5343])).
% 13.48/9.26 tff(5348,plain,
% 13.48/9.26 (always3(s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5347, 5336])).
% 13.48/9.26 tff(5349,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5350,plain,
% 13.48/9.26 (((~m_main_v_state(s76, c_busy)) | (~always3(s76))) <=> ((~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5351,plain,
% 13.48/9.26 (((~![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))))),
% 13.48/9.26 inference(monotonicity,[status(thm)],[5350])).
% 13.48/9.26 tff(5352,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(transitivity,[status(thm)],[5351, 5349])).
% 13.48/9.26 tff(5353,plain,
% 13.48/9.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5354,plain,
% 13.48/9.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 13.48/9.26 tff(5355,plain,
% 13.48/9.26 (~m_main_v_state(s76, c_busy)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5354, 85, 5348])).
% 13.48/9.26 tff(5356,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5357,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s75, s76)) | node2(s75, s76))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5358,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s75, s76)) | node2(s75, s76)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 13.48/9.26 tff(5359,plain,
% 13.48/9.26 (node2(s75, s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5358, 7, 5343])).
% 13.48/9.26 tff(5360,plain,
% 13.48/9.26 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5361,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5362,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 13.48/9.26 tff(5363,plain,
% 13.48/9.26 ((~m_main_v_state(s75, c_ready)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5362, 73, 5359])).
% 13.48/9.26 tff(5364,plain,
% 13.48/9.26 (~m_main_v_state(s75, c_ready)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5363, 5355, 5332])).
% 13.48/9.26 tff(5365,plain,
% 13.48/9.26 (~m_main_v_state(s75, c_busy)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5298, 85, 5336])).
% 13.48/9.26 tff(5366,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5367,plain,
% 13.48/9.26 ((~![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))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5368,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5367, 5366])).
% 13.48/9.26 tff(5369,plain,
% 13.48/9.26 ($false),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5368, 102, 5365, 5364])).
% 13.48/9.26 tff(5370,plain,(~node4(s75)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.26 tff(5371,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5372,plain,
% 13.48/9.26 ((node4(s75) | (~until5(s75)) | xuntil6(s75)) <=> (xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5373,plain,
% 13.48/9.26 (((~![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))))),
% 13.48/9.26 inference(monotonicity,[status(thm)],[5372])).
% 13.48/9.26 tff(5374,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(transitivity,[status(thm)],[5373, 5371])).
% 13.48/9.26 tff(5375,plain,
% 13.48/9.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5376,plain,
% 13.48/9.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 13.48/9.26 tff(5377,plain,
% 13.48/9.26 (xuntil6(s75) | (~until5(s75))),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5376, 294, 5370])).
% 13.48/9.26 tff(5378,plain,
% 13.48/9.26 (xuntil6(s75)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5377, 5327])).
% 13.48/9.26 tff(5379,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5380,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5381,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5380, 5379])).
% 13.48/9.26 tff(5382,plain,
% 13.48/9.26 ((~xuntil6(s75)) | until5(s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5381, 5339, 312])).
% 13.48/9.26 tff(5383,plain,
% 13.48/9.26 (until5(s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5382, 5378])).
% 13.48/9.26 tff(5384,assumption,(node4(s76)), introduced(assumption)).
% 13.48/9.26 tff(5385,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5386,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s76) | (~node4(s76)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5387,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s76) | (~node4(s76))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 13.48/9.26 tff(5388,plain,
% 13.48/9.26 (m_main_v_request(s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5387, 21, 5384])).
% 13.48/9.26 tff(5389,plain,
% 13.48/9.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5390,plain,
% 13.48/9.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5391,plain,
% 13.48/9.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 13.48/9.26 tff(5392,plain,
% 13.48/9.26 (always3(s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5391, 36, 5384])).
% 13.48/9.26 tff(5393,plain,
% 13.48/9.26 (succ(s76, s77) <=> succ(s76, s77)),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5394,axiom,(succ(s76, s77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound77')).
% 13.48/9.26 tff(5395,plain,
% 13.48/9.26 (succ(s76, s77)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5394, 5393])).
% 13.48/9.26 tff(5396,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5397,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5398,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 13.48/9.26 tff(5399,plain,
% 13.48/9.26 (trans(s76, s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5398, 5395, 52])).
% 13.48/9.26 tff(5400,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5401,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s76, s77)) | (~always3(s76)) | always3(s77))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5402,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s76, s77)) | (~always3(s76)) | always3(s77)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5401, 5400])).
% 13.48/9.26 tff(5403,plain,
% 13.48/9.26 ((~always3(s76)) | always3(s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5402, 125, 5399])).
% 13.48/9.26 tff(5404,plain,
% 13.48/9.26 (always3(s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5403, 5392])).
% 13.48/9.26 tff(5405,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5406,plain,
% 13.48/9.26 (((~m_main_v_state(s77, c_busy)) | (~always3(s77))) <=> ((~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5407,plain,
% 13.48/9.26 (((~![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))))),
% 13.48/9.26 inference(monotonicity,[status(thm)],[5406])).
% 13.48/9.26 tff(5408,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(transitivity,[status(thm)],[5407, 5405])).
% 13.48/9.26 tff(5409,plain,
% 13.48/9.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5410,plain,
% 13.48/9.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5409, 5408])).
% 13.48/9.26 tff(5411,plain,
% 13.48/9.26 (~m_main_v_state(s77, c_busy)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5410, 85, 5404])).
% 13.48/9.26 tff(5412,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5413,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s76, s77)) | node2(s76, s77))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5414,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s76, s77)) | node2(s76, s77)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 13.48/9.26 tff(5415,plain,
% 13.48/9.26 (node2(s76, s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5414, 7, 5399])).
% 13.48/9.26 tff(5416,plain,
% 13.48/9.26 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5417,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5418,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 13.48/9.26 tff(5419,plain,
% 13.48/9.26 ((~m_main_v_state(s76, c_ready)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5418, 73, 5415])).
% 13.48/9.26 tff(5420,plain,
% 13.48/9.26 (~m_main_v_state(s76, c_ready)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5419, 5411, 5388])).
% 13.48/9.26 tff(5421,plain,
% 13.48/9.26 (~m_main_v_state(s76, c_busy)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5354, 85, 5392])).
% 13.48/9.26 tff(5422,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5423,plain,
% 13.48/9.26 ((~![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))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5424,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5423, 5422])).
% 13.48/9.26 tff(5425,plain,
% 13.48/9.26 ($false),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5424, 102, 5421, 5420])).
% 13.48/9.26 tff(5426,plain,(~node4(s76)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.26 tff(5427,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5428,plain,
% 13.48/9.26 ((node4(s76) | (~until5(s76)) | xuntil6(s76)) <=> (xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5429,plain,
% 13.48/9.26 (((~![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))))),
% 13.48/9.26 inference(monotonicity,[status(thm)],[5428])).
% 13.48/9.26 tff(5430,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(transitivity,[status(thm)],[5429, 5427])).
% 13.48/9.26 tff(5431,plain,
% 13.48/9.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5432,plain,
% 13.48/9.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 13.48/9.26 tff(5433,plain,
% 13.48/9.26 (xuntil6(s76) | (~until5(s76))),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5432, 294, 5426])).
% 13.48/9.26 tff(5434,plain,
% 13.48/9.26 (xuntil6(s76)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5433, 5383])).
% 13.48/9.26 tff(5435,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5436,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5437,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 13.48/9.26 tff(5438,plain,
% 13.48/9.26 ((~xuntil6(s76)) | until5(s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5437, 5395, 312])).
% 13.48/9.26 tff(5439,plain,
% 13.48/9.26 (until5(s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5438, 5434])).
% 13.48/9.26 tff(5440,assumption,(node4(s77)), introduced(assumption)).
% 13.48/9.26 tff(5441,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5442,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s77) | (~node4(s77)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5443,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s77) | (~node4(s77))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5442, 5441])).
% 13.48/9.26 tff(5444,plain,
% 13.48/9.26 (m_main_v_request(s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5443, 21, 5440])).
% 13.48/9.26 tff(5445,plain,
% 13.48/9.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5446,plain,
% 13.48/9.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5447,plain,
% 13.48/9.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5446, 5445])).
% 13.48/9.26 tff(5448,plain,
% 13.48/9.26 (always3(s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5447, 36, 5440])).
% 13.48/9.26 tff(5449,plain,
% 13.48/9.26 (succ(s77, s78) <=> succ(s77, s78)),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5450,axiom,(succ(s77, s78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound78')).
% 13.48/9.26 tff(5451,plain,
% 13.48/9.26 (succ(s77, s78)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5450, 5449])).
% 13.48/9.26 tff(5452,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5453,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5454,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5453, 5452])).
% 13.48/9.26 tff(5455,plain,
% 13.48/9.26 (trans(s77, s78)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5454, 5451, 52])).
% 13.48/9.26 tff(5456,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5457,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s77, s78)) | (~always3(s77)) | always3(s78))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5458,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s77, s78)) | (~always3(s77)) | always3(s78)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 13.48/9.26 tff(5459,plain,
% 13.48/9.26 ((~always3(s77)) | always3(s78)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5458, 125, 5455])).
% 13.48/9.26 tff(5460,plain,
% 13.48/9.26 (always3(s78)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5459, 5448])).
% 13.48/9.26 tff(5461,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5462,plain,
% 13.48/9.26 (((~m_main_v_state(s78, c_busy)) | (~always3(s78))) <=> ((~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5463,plain,
% 13.48/9.26 (((~![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))))),
% 13.48/9.26 inference(monotonicity,[status(thm)],[5462])).
% 13.48/9.26 tff(5464,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(transitivity,[status(thm)],[5463, 5461])).
% 13.48/9.26 tff(5465,plain,
% 13.48/9.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5466,plain,
% 13.48/9.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 13.48/9.26 tff(5467,plain,
% 13.48/9.26 (~m_main_v_state(s78, c_busy)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5466, 85, 5460])).
% 13.48/9.26 tff(5468,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5469,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s77, s78)) | node2(s77, s78))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5470,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s77, s78)) | node2(s77, s78)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 13.48/9.26 tff(5471,plain,
% 13.48/9.26 (node2(s77, s78)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5470, 7, 5455])).
% 13.48/9.26 tff(5472,plain,
% 13.48/9.26 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5473,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5474,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 13.48/9.26 tff(5475,plain,
% 13.48/9.26 ((~m_main_v_state(s77, c_ready)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5474, 73, 5471])).
% 13.48/9.26 tff(5476,plain,
% 13.48/9.26 (~m_main_v_state(s77, c_ready)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5475, 5467, 5444])).
% 13.48/9.26 tff(5477,plain,
% 13.48/9.26 (~m_main_v_state(s77, c_busy)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5410, 85, 5448])).
% 13.48/9.26 tff(5478,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5479,plain,
% 13.48/9.26 ((~![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))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5480,plain,
% 13.48/9.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 13.48/9.26 tff(5481,plain,
% 13.48/9.26 ($false),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5480, 102, 5477, 5476])).
% 13.48/9.26 tff(5482,plain,(~node4(s77)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.26 tff(5483,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5484,plain,
% 13.48/9.26 ((node4(s77) | (~until5(s77)) | xuntil6(s77)) <=> (xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5485,plain,
% 13.48/9.26 (((~![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))))),
% 13.48/9.26 inference(monotonicity,[status(thm)],[5484])).
% 13.48/9.26 tff(5486,plain,
% 13.48/9.26 (((~![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)))),
% 13.48/9.26 inference(transitivity,[status(thm)],[5485, 5483])).
% 13.48/9.26 tff(5487,plain,
% 13.48/9.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5488,plain,
% 13.48/9.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77))),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 13.48/9.26 tff(5489,plain,
% 13.48/9.26 (xuntil6(s77) | (~until5(s77))),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5488, 294, 5482])).
% 13.48/9.26 tff(5490,plain,
% 13.48/9.26 (xuntil6(s77)),
% 13.48/9.26 inference(unit_resolution,[status(thm)],[5489, 5439])).
% 13.48/9.26 tff(5491,plain,
% 13.48/9.26 (((~![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))),
% 13.48/9.26 inference(rewrite,[status(thm)],[])).
% 13.48/9.26 tff(5492,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))),
% 13.48/9.26 inference(quant_inst,[status(thm)],[])).
% 13.48/9.26 tff(5493,plain,
% 13.48/9.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78)),
% 13.48/9.26 inference(modus_ponens,[status(thm)],[5492, 5491])).
% 13.48/9.26 tff(5494,plain,
% 13.48/9.26 ((~xuntil6(s77)) | until5(s78)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5493, 5451, 312])).
% 13.48/9.27 tff(5495,plain,
% 13.48/9.27 (until5(s78)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5494, 5490])).
% 13.48/9.27 tff(5496,assumption,(node4(s78)), introduced(assumption)).
% 13.48/9.27 tff(5497,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5498,plain,
% 13.48/9.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s78) | (~node4(s78)))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5499,plain,
% 13.48/9.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s78) | (~node4(s78))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 13.48/9.27 tff(5500,plain,
% 13.48/9.27 (m_main_v_request(s78)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5499, 21, 5496])).
% 13.48/9.27 tff(5501,plain,
% 13.48/9.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5502,plain,
% 13.48/9.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5503,plain,
% 13.48/9.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 13.48/9.27 tff(5504,plain,
% 13.48/9.27 (always3(s78)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5503, 36, 5496])).
% 13.48/9.27 tff(5505,plain,
% 13.48/9.27 (succ(s78, s79) <=> succ(s78, s79)),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5506,axiom,(succ(s78, s79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound79')).
% 13.48/9.27 tff(5507,plain,
% 13.48/9.27 (succ(s78, s79)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 13.48/9.27 tff(5508,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5509,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5510,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5509, 5508])).
% 13.48/9.27 tff(5511,plain,
% 13.48/9.27 (trans(s78, s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5510, 5507, 52])).
% 13.48/9.27 tff(5512,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5513,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s78, s79)) | (~always3(s78)) | always3(s79))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5514,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s78, s79)) | (~always3(s78)) | always3(s79)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5513, 5512])).
% 13.48/9.27 tff(5515,plain,
% 13.48/9.27 ((~always3(s78)) | always3(s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5514, 125, 5511])).
% 13.48/9.27 tff(5516,plain,
% 13.48/9.27 (always3(s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5515, 5504])).
% 13.48/9.27 tff(5517,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5518,plain,
% 13.48/9.27 (((~m_main_v_state(s79, c_busy)) | (~always3(s79))) <=> ((~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5519,plain,
% 13.48/9.27 (((~![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))))),
% 13.48/9.27 inference(monotonicity,[status(thm)],[5518])).
% 13.48/9.27 tff(5520,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(transitivity,[status(thm)],[5519, 5517])).
% 13.48/9.27 tff(5521,plain,
% 13.48/9.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5522,plain,
% 13.48/9.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 13.48/9.27 tff(5523,plain,
% 13.48/9.27 (~m_main_v_state(s79, c_busy)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5522, 85, 5516])).
% 13.48/9.27 tff(5524,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5525,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s78, s79)) | node2(s78, s79))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5526,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s78, s79)) | node2(s78, s79)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 13.48/9.27 tff(5527,plain,
% 13.48/9.27 (node2(s78, s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5526, 7, 5511])).
% 13.48/9.27 tff(5528,plain,
% 13.48/9.27 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5529,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5530,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 13.48/9.27 tff(5531,plain,
% 13.48/9.27 ((~m_main_v_state(s78, c_ready)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5530, 73, 5527])).
% 13.48/9.27 tff(5532,plain,
% 13.48/9.27 (~m_main_v_state(s78, c_ready)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5531, 5523, 5500])).
% 13.48/9.27 tff(5533,plain,
% 13.48/9.27 (~m_main_v_state(s78, c_busy)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5466, 85, 5504])).
% 13.48/9.27 tff(5534,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5535,plain,
% 13.48/9.27 ((~![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))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5536,plain,
% 13.48/9.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 13.48/9.27 tff(5537,plain,
% 13.48/9.27 ($false),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5536, 102, 5533, 5532])).
% 13.48/9.27 tff(5538,plain,(~node4(s78)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.27 tff(5539,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5540,plain,
% 13.48/9.27 ((node4(s78) | (~until5(s78)) | xuntil6(s78)) <=> (xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5541,plain,
% 13.48/9.27 (((~![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))))),
% 13.48/9.27 inference(monotonicity,[status(thm)],[5540])).
% 13.48/9.27 tff(5542,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(transitivity,[status(thm)],[5541, 5539])).
% 13.48/9.27 tff(5543,plain,
% 13.48/9.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5544,plain,
% 13.48/9.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5543, 5542])).
% 13.48/9.27 tff(5545,plain,
% 13.48/9.27 (xuntil6(s78) | (~until5(s78))),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5544, 294, 5538])).
% 13.48/9.27 tff(5546,plain,
% 13.48/9.27 (xuntil6(s78)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5545, 5495])).
% 13.48/9.27 tff(5547,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5548,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5549,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5548, 5547])).
% 13.48/9.27 tff(5550,plain,
% 13.48/9.27 ((~xuntil6(s78)) | until5(s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5549, 5507, 312])).
% 13.48/9.27 tff(5551,plain,
% 13.48/9.27 (until5(s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5550, 5546])).
% 13.48/9.27 tff(5552,assumption,(node4(s79)), introduced(assumption)).
% 13.48/9.27 tff(5553,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5554,plain,
% 13.48/9.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s79) | (~node4(s79)))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5555,plain,
% 13.48/9.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s79) | (~node4(s79))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 13.48/9.27 tff(5556,plain,
% 13.48/9.27 (m_main_v_request(s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5555, 21, 5552])).
% 13.48/9.27 tff(5557,plain,
% 13.48/9.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5558,plain,
% 13.48/9.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5559,plain,
% 13.48/9.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 13.48/9.27 tff(5560,plain,
% 13.48/9.27 (always3(s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5559, 36, 5552])).
% 13.48/9.27 tff(5561,plain,
% 13.48/9.27 (succ(s79, s80) <=> succ(s79, s80)),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5562,axiom,(succ(s79, s80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound80')).
% 13.48/9.27 tff(5563,plain,
% 13.48/9.27 (succ(s79, s80)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 13.48/9.27 tff(5564,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5565,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5566,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5565, 5564])).
% 13.48/9.27 tff(5567,plain,
% 13.48/9.27 (trans(s79, s80)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5566, 5563, 52])).
% 13.48/9.27 tff(5568,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5569,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s79, s80)) | (~always3(s79)) | always3(s80))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5570,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s79, s80)) | (~always3(s79)) | always3(s80)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5569, 5568])).
% 13.48/9.27 tff(5571,plain,
% 13.48/9.27 ((~always3(s79)) | always3(s80)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5570, 125, 5567])).
% 13.48/9.27 tff(5572,plain,
% 13.48/9.27 (always3(s80)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5571, 5560])).
% 13.48/9.27 tff(5573,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5574,plain,
% 13.48/9.27 (((~m_main_v_state(s80, c_busy)) | (~always3(s80))) <=> ((~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5575,plain,
% 13.48/9.27 (((~![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))))),
% 13.48/9.27 inference(monotonicity,[status(thm)],[5574])).
% 13.48/9.27 tff(5576,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(transitivity,[status(thm)],[5575, 5573])).
% 13.48/9.27 tff(5577,plain,
% 13.48/9.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5578,plain,
% 13.48/9.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 13.48/9.27 tff(5579,plain,
% 13.48/9.27 (~m_main_v_state(s80, c_busy)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5578, 85, 5572])).
% 13.48/9.27 tff(5580,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5581,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s79, s80)) | node2(s79, s80))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5582,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s79, s80)) | node2(s79, s80)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 13.48/9.27 tff(5583,plain,
% 13.48/9.27 (node2(s79, s80)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5582, 7, 5567])).
% 13.48/9.27 tff(5584,plain,
% 13.48/9.27 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5585,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5586,plain,
% 13.48/9.27 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5585, 5584])).
% 13.48/9.27 tff(5587,plain,
% 13.48/9.27 ((~m_main_v_state(s79, c_ready)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5586, 73, 5583])).
% 13.48/9.27 tff(5588,plain,
% 13.48/9.27 (~m_main_v_state(s79, c_ready)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5587, 5579, 5556])).
% 13.48/9.27 tff(5589,plain,
% 13.48/9.27 (~m_main_v_state(s79, c_busy)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5522, 85, 5560])).
% 13.48/9.27 tff(5590,plain,
% 13.48/9.27 (((~![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))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5591,plain,
% 13.48/9.27 ((~![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))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5592,plain,
% 13.48/9.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready)),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 13.48/9.27 tff(5593,plain,
% 13.48/9.27 ($false),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5592, 102, 5589, 5588])).
% 13.48/9.27 tff(5594,plain,(~node4(s79)), inference(lemma,lemma(discharge,[]))).
% 13.48/9.27 tff(5595,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5596,plain,
% 13.48/9.27 ((node4(s79) | (~until5(s79)) | xuntil6(s79)) <=> (xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 13.48/9.27 inference(rewrite,[status(thm)],[])).
% 13.48/9.27 tff(5597,plain,
% 13.48/9.27 (((~![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))))),
% 13.48/9.27 inference(monotonicity,[status(thm)],[5596])).
% 13.48/9.27 tff(5598,plain,
% 13.48/9.27 (((~![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)))),
% 13.48/9.27 inference(transitivity,[status(thm)],[5597, 5595])).
% 13.48/9.27 tff(5599,plain,
% 13.48/9.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))),
% 13.48/9.27 inference(quant_inst,[status(thm)],[])).
% 13.48/9.27 tff(5600,plain,
% 13.48/9.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79))),
% 13.48/9.27 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 13.48/9.27 tff(5601,plain,
% 13.48/9.27 (xuntil6(s79) | (~until5(s79))),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5600, 294, 5594])).
% 13.48/9.27 tff(5602,plain,
% 13.48/9.27 (xuntil6(s79)),
% 13.48/9.27 inference(unit_resolution,[status(thm)],[5601, 5551])).
% 13.48/9.27 tff(5603,plain,
% 13.48/9.27 (((~![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))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5604,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5605,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80)),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 13.57/9.27 tff(5606,plain,
% 13.57/9.27 ((~xuntil6(s79)) | until5(s80)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5605, 5563, 312])).
% 13.57/9.27 tff(5607,plain,
% 13.57/9.27 (until5(s80)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5606, 5602])).
% 13.57/9.27 tff(5608,assumption,(node4(s80)), introduced(assumption)).
% 13.57/9.27 tff(5609,plain,
% 13.57/9.27 (((~![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)))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5610,plain,
% 13.57/9.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s80) | (~node4(s80)))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5611,plain,
% 13.57/9.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s80) | (~node4(s80))),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 13.57/9.27 tff(5612,plain,
% 13.57/9.27 (m_main_v_request(s80)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5611, 21, 5608])).
% 13.57/9.27 tff(5613,plain,
% 13.57/9.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80)))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5614,plain,
% 13.57/9.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5615,plain,
% 13.57/9.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80))),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5614, 5613])).
% 13.57/9.27 tff(5616,plain,
% 13.57/9.27 (always3(s80)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5615, 36, 5608])).
% 13.57/9.27 tff(5617,plain,
% 13.57/9.27 (succ(s80, s81) <=> succ(s80, s81)),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5618,axiom,(succ(s80, s81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound81')).
% 13.57/9.27 tff(5619,plain,
% 13.57/9.27 (succ(s80, s81)),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5618, 5617])).
% 13.57/9.27 tff(5620,plain,
% 13.57/9.27 (((~![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))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5621,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5622,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5621, 5620])).
% 13.57/9.27 tff(5623,plain,
% 13.57/9.27 (trans(s80, s81)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5622, 5619, 52])).
% 13.57/9.27 tff(5624,plain,
% 13.57/9.27 (((~![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))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5625,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s80, s81)) | (~always3(s80)) | always3(s81))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5626,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s80, s81)) | (~always3(s80)) | always3(s81)),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5625, 5624])).
% 13.57/9.27 tff(5627,plain,
% 13.57/9.27 ((~always3(s80)) | always3(s81)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5626, 125, 5623])).
% 13.57/9.27 tff(5628,plain,
% 13.57/9.27 (always3(s81)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5627, 5616])).
% 13.57/9.27 tff(5629,plain,
% 13.57/9.27 (((~![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)))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5630,plain,
% 13.57/9.27 (((~m_main_v_state(s81, c_busy)) | (~always3(s81))) <=> ((~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5631,plain,
% 13.57/9.27 (((~![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))))),
% 13.57/9.27 inference(monotonicity,[status(thm)],[5630])).
% 13.57/9.27 tff(5632,plain,
% 13.57/9.27 (((~![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)))),
% 13.57/9.27 inference(transitivity,[status(thm)],[5631, 5629])).
% 13.57/9.27 tff(5633,plain,
% 13.57/9.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5634,plain,
% 13.57/9.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy))),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5633, 5632])).
% 13.57/9.27 tff(5635,plain,
% 13.57/9.27 (~m_main_v_state(s81, c_busy)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5634, 85, 5628])).
% 13.57/9.27 tff(5636,plain,
% 13.57/9.27 (((~![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))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5637,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s80, s81)) | node2(s80, s81))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5638,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s80, s81)) | node2(s80, s81)),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5637, 5636])).
% 13.57/9.27 tff(5639,plain,
% 13.57/9.27 (node2(s80, s81)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5638, 7, 5623])).
% 13.57/9.27 tff(5640,plain,
% 13.57/9.27 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5641,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5642,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5641, 5640])).
% 13.57/9.27 tff(5643,plain,
% 13.57/9.27 ((~m_main_v_state(s80, c_ready)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5642, 73, 5639])).
% 13.57/9.27 tff(5644,plain,
% 13.57/9.27 (~m_main_v_state(s80, c_ready)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5643, 5635, 5612])).
% 13.57/9.27 tff(5645,plain,
% 13.57/9.27 (~m_main_v_state(s80, c_busy)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5578, 85, 5616])).
% 13.57/9.27 tff(5646,plain,
% 13.57/9.27 (((~![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))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5647,plain,
% 13.57/9.27 ((~![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))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5648,plain,
% 13.57/9.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready)),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 13.57/9.27 tff(5649,plain,
% 13.57/9.27 ($false),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5648, 102, 5645, 5644])).
% 13.57/9.27 tff(5650,plain,(~node4(s80)), inference(lemma,lemma(discharge,[]))).
% 13.57/9.27 tff(5651,plain,
% 13.57/9.27 (((~![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)))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5652,plain,
% 13.57/9.27 ((node4(s80) | (~until5(s80)) | xuntil6(s80)) <=> (xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5653,plain,
% 13.57/9.27 (((~![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))))),
% 13.57/9.27 inference(monotonicity,[status(thm)],[5652])).
% 13.57/9.27 tff(5654,plain,
% 13.57/9.27 (((~![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)))),
% 13.57/9.27 inference(transitivity,[status(thm)],[5653, 5651])).
% 13.57/9.27 tff(5655,plain,
% 13.57/9.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5656,plain,
% 13.57/9.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80))),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 13.57/9.27 tff(5657,plain,
% 13.57/9.27 (xuntil6(s80) | (~until5(s80))),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5656, 294, 5650])).
% 13.57/9.27 tff(5658,plain,
% 13.57/9.27 (xuntil6(s80)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5657, 5607])).
% 13.57/9.27 tff(5659,plain,
% 13.57/9.27 (((~![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))),
% 13.57/9.27 inference(rewrite,[status(thm)],[])).
% 13.57/9.27 tff(5660,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))),
% 13.57/9.27 inference(quant_inst,[status(thm)],[])).
% 13.57/9.27 tff(5661,plain,
% 13.57/9.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81)),
% 13.57/9.27 inference(modus_ponens,[status(thm)],[5660, 5659])).
% 13.57/9.27 tff(5662,plain,
% 13.57/9.27 ((~xuntil6(s80)) | until5(s81)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5661, 5619, 312])).
% 13.57/9.27 tff(5663,plain,
% 13.57/9.27 (until5(s81)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5662, 5658])).
% 13.57/9.27 tff(5664,assumption,(~xuntil6(s91)), introduced(assumption)).
% 13.57/9.27 tff(5665,assumption,(~always3(s81)), introduced(assumption)).
% 13.57/9.27 tff(5666,plain,
% 13.57/9.27 (~always3(s80)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5627, 5665])).
% 13.57/9.27 tff(5667,plain,
% 13.57/9.27 (~always3(s79)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5571, 5666])).
% 13.57/9.27 tff(5668,plain,
% 13.57/9.27 (~always3(s78)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5515, 5667])).
% 13.57/9.27 tff(5669,plain,
% 13.57/9.27 (~always3(s77)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5459, 5668])).
% 13.57/9.27 tff(5670,plain,
% 13.57/9.27 (~always3(s76)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5403, 5669])).
% 13.57/9.27 tff(5671,plain,
% 13.57/9.27 (~always3(s75)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5347, 5670])).
% 13.57/9.27 tff(5672,plain,
% 13.57/9.27 (~always3(s74)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5291, 5671])).
% 13.57/9.27 tff(5673,plain,
% 13.57/9.27 (~always3(s73)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5235, 5672])).
% 13.57/9.27 tff(5674,plain,
% 13.57/9.27 (~always3(s72)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5179, 5673])).
% 13.57/9.27 tff(5675,plain,
% 13.57/9.27 (~always3(s71)),
% 13.57/9.27 inference(unit_resolution,[status(thm)],[5123, 5674])).
% 13.57/9.28 tff(5676,plain,
% 13.57/9.28 (~always3(s70)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5067, 5675])).
% 13.57/9.28 tff(5677,plain,
% 13.57/9.28 (~always3(s69)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5011, 5676])).
% 13.57/9.28 tff(5678,plain,
% 13.57/9.28 (~always3(s68)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[4955, 5677])).
% 13.57/9.28 tff(5679,plain,
% 13.57/9.28 (~always3(s67)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[4899, 5678])).
% 13.57/9.28 tff(5680,plain,
% 13.57/9.28 (~always3(s66)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[4835, 5679])).
% 13.57/9.28 tff(5681,plain,
% 13.57/9.28 (~always3(s65)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[129, 5680])).
% 13.57/9.28 tff(5682,plain,
% 13.57/9.28 (~node4(s65)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[39, 36, 5681])).
% 13.57/9.28 tff(5683,plain,
% 13.57/9.28 (~always3(s64)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[4721, 5681])).
% 13.57/9.28 tff(5684,plain,
% 13.57/9.28 (xuntil6(s64)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[4709, 5683])).
% 13.57/9.28 tff(5685,plain,
% 13.57/9.28 (until5(s65)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[4786, 5684])).
% 13.57/9.28 tff(5686,plain,
% 13.57/9.28 (xuntil6(s65) | node4(s65)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[4793, 294, 5685])).
% 13.57/9.28 tff(5687,plain,
% 13.57/9.28 (xuntil6(s65)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5686, 5682])).
% 13.57/9.28 tff(5688,plain,
% 13.57/9.28 (until5(s66)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[4799, 5687])).
% 13.57/9.28 tff(5689,assumption,(~always3(s91)), introduced(assumption)).
% 13.57/9.28 tff(5690,plain,
% 13.57/9.28 (succ(s90, s91) <=> succ(s90, s91)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5691,axiom,(succ(s90, s91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound91')).
% 13.57/9.28 tff(5692,plain,
% 13.57/9.28 (succ(s90, s91)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 13.57/9.28 tff(5693,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5694,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5695,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5694, 5693])).
% 13.57/9.28 tff(5696,plain,
% 13.57/9.28 (trans(s90, s91)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5695, 5692, 52])).
% 13.57/9.28 tff(5697,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5698,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s90, s91)) | (~always3(s90)) | always3(s91))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5699,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s90, s91)) | (~always3(s90)) | always3(s91)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5698, 5697])).
% 13.57/9.28 tff(5700,plain,
% 13.57/9.28 ((~always3(s90)) | always3(s91)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5699, 125, 5696])).
% 13.57/9.28 tff(5701,plain,
% 13.57/9.28 (~always3(s90)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5700, 5689])).
% 13.57/9.28 tff(5702,plain,
% 13.57/9.28 (succ(s89, s90) <=> succ(s89, s90)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5703,axiom,(succ(s89, s90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound90')).
% 13.57/9.28 tff(5704,plain,
% 13.57/9.28 (succ(s89, s90)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5703, 5702])).
% 13.57/9.28 tff(5705,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5706,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5707,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 13.57/9.28 tff(5708,plain,
% 13.57/9.28 (trans(s89, s90)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5707, 5704, 52])).
% 13.57/9.28 tff(5709,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5710,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s89, s90)) | (~always3(s89)) | always3(s90))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5711,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s89, s90)) | (~always3(s89)) | always3(s90)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 13.57/9.28 tff(5712,plain,
% 13.57/9.28 ((~always3(s89)) | always3(s90)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5711, 125, 5708])).
% 13.57/9.28 tff(5713,plain,
% 13.57/9.28 (~always3(s89)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5712, 5701])).
% 13.57/9.28 tff(5714,plain,
% 13.57/9.28 (succ(s88, s89) <=> succ(s88, s89)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5715,axiom,(succ(s88, s89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound89')).
% 13.57/9.28 tff(5716,plain,
% 13.57/9.28 (succ(s88, s89)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 13.57/9.28 tff(5717,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5718,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5719,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5718, 5717])).
% 13.57/9.28 tff(5720,plain,
% 13.57/9.28 (trans(s88, s89)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5719, 5716, 52])).
% 13.57/9.28 tff(5721,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5722,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s88, s89)) | (~always3(s88)) | always3(s89))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5723,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s88, s89)) | (~always3(s88)) | always3(s89)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 13.57/9.28 tff(5724,plain,
% 13.57/9.28 ((~always3(s88)) | always3(s89)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5723, 125, 5720])).
% 13.57/9.28 tff(5725,plain,
% 13.57/9.28 (~always3(s88)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5724, 5713])).
% 13.57/9.28 tff(5726,plain,
% 13.57/9.28 (succ(s87, s88) <=> succ(s87, s88)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5727,axiom,(succ(s87, s88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound88')).
% 13.57/9.28 tff(5728,plain,
% 13.57/9.28 (succ(s87, s88)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 13.57/9.28 tff(5729,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5730,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5731,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5730, 5729])).
% 13.57/9.28 tff(5732,plain,
% 13.57/9.28 (trans(s87, s88)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5731, 5728, 52])).
% 13.57/9.28 tff(5733,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5734,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s87, s88)) | (~always3(s87)) | always3(s88))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5735,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s87, s88)) | (~always3(s87)) | always3(s88)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5734, 5733])).
% 13.57/9.28 tff(5736,plain,
% 13.57/9.28 ((~always3(s87)) | always3(s88)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5735, 125, 5732])).
% 13.57/9.28 tff(5737,plain,
% 13.57/9.28 (~always3(s87)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5736, 5725])).
% 13.57/9.28 tff(5738,plain,
% 13.57/9.28 (succ(s86, s87) <=> succ(s86, s87)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5739,axiom,(succ(s86, s87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound87')).
% 13.57/9.28 tff(5740,plain,
% 13.57/9.28 (succ(s86, s87)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 13.57/9.28 tff(5741,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5742,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5743,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5742, 5741])).
% 13.57/9.28 tff(5744,plain,
% 13.57/9.28 (trans(s86, s87)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5743, 5740, 52])).
% 13.57/9.28 tff(5745,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5746,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s86, s87)) | (~always3(s86)) | always3(s87))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5747,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s86, s87)) | (~always3(s86)) | always3(s87)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5746, 5745])).
% 13.57/9.28 tff(5748,plain,
% 13.57/9.28 ((~always3(s86)) | always3(s87)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5747, 125, 5744])).
% 13.57/9.28 tff(5749,plain,
% 13.57/9.28 (~always3(s86)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5748, 5737])).
% 13.57/9.28 tff(5750,plain,
% 13.57/9.28 (succ(s85, s86) <=> succ(s85, s86)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5751,axiom,(succ(s85, s86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound86')).
% 13.57/9.28 tff(5752,plain,
% 13.57/9.28 (succ(s85, s86)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 13.57/9.28 tff(5753,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5754,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5755,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5754, 5753])).
% 13.57/9.28 tff(5756,plain,
% 13.57/9.28 (trans(s85, s86)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5755, 5752, 52])).
% 13.57/9.28 tff(5757,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5758,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s85, s86)) | (~always3(s85)) | always3(s86))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5759,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s85, s86)) | (~always3(s85)) | always3(s86)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 13.57/9.28 tff(5760,plain,
% 13.57/9.28 ((~always3(s85)) | always3(s86)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5759, 125, 5756])).
% 13.57/9.28 tff(5761,plain,
% 13.57/9.28 (~always3(s85)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5760, 5749])).
% 13.57/9.28 tff(5762,plain,
% 13.57/9.28 (succ(s84, s85) <=> succ(s84, s85)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5763,axiom,(succ(s84, s85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound85')).
% 13.57/9.28 tff(5764,plain,
% 13.57/9.28 (succ(s84, s85)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 13.57/9.28 tff(5765,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5766,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5767,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5766, 5765])).
% 13.57/9.28 tff(5768,plain,
% 13.57/9.28 (trans(s84, s85)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5767, 5764, 52])).
% 13.57/9.28 tff(5769,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5770,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s84, s85)) | (~always3(s84)) | always3(s85))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5771,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s84, s85)) | (~always3(s84)) | always3(s85)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5770, 5769])).
% 13.57/9.28 tff(5772,plain,
% 13.57/9.28 ((~always3(s84)) | always3(s85)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5771, 125, 5768])).
% 13.57/9.28 tff(5773,plain,
% 13.57/9.28 (~always3(s84)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5772, 5761])).
% 13.57/9.28 tff(5774,plain,
% 13.57/9.28 (succ(s83, s84) <=> succ(s83, s84)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5775,axiom,(succ(s83, s84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound84')).
% 13.57/9.28 tff(5776,plain,
% 13.57/9.28 (succ(s83, s84)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5775, 5774])).
% 13.57/9.28 tff(5777,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5778,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5779,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 13.57/9.28 tff(5780,plain,
% 13.57/9.28 (trans(s83, s84)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5779, 5776, 52])).
% 13.57/9.28 tff(5781,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5782,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s83, s84)) | (~always3(s83)) | always3(s84))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5783,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s83, s84)) | (~always3(s83)) | always3(s84)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 13.57/9.28 tff(5784,plain,
% 13.57/9.28 ((~always3(s83)) | always3(s84)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5783, 125, 5780])).
% 13.57/9.28 tff(5785,plain,
% 13.57/9.28 (~always3(s83)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5784, 5773])).
% 13.57/9.28 tff(5786,plain,
% 13.57/9.28 (succ(s82, s83) <=> succ(s82, s83)),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5787,axiom,(succ(s82, s83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound83')).
% 13.57/9.28 tff(5788,plain,
% 13.57/9.28 (succ(s82, s83)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 13.57/9.28 tff(5789,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5790,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5791,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5790, 5789])).
% 13.57/9.28 tff(5792,plain,
% 13.57/9.28 (trans(s82, s83)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5791, 5788, 52])).
% 13.57/9.28 tff(5793,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5794,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s82, s83)) | (~always3(s82)) | always3(s83))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5795,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s82, s83)) | (~always3(s82)) | always3(s83)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5794, 5793])).
% 13.57/9.28 tff(5796,plain,
% 13.57/9.28 ((~always3(s82)) | always3(s83)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5795, 125, 5792])).
% 13.57/9.28 tff(5797,plain,
% 13.57/9.28 (~always3(s82)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5796, 5785])).
% 13.57/9.28 tff(5798,plain,
% 13.57/9.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5799,plain,
% 13.57/9.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5800,plain,
% 13.57/9.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82))),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 13.57/9.28 tff(5801,plain,
% 13.57/9.28 (~node4(s82)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5800, 36, 5797])).
% 13.57/9.28 tff(5802,plain,
% 13.57/9.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5803,plain,
% 13.57/9.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5804,plain,
% 13.57/9.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91))),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 13.57/9.28 tff(5805,plain,
% 13.57/9.28 (~node4(s91)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5804, 36, 5689])).
% 13.57/9.28 tff(5806,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5807,plain,
% 13.57/9.28 ((node4(s91) | (~until5(s91)) | xuntil6(s91)) <=> (xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5808,plain,
% 13.57/9.28 (((~![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))))),
% 13.57/9.28 inference(monotonicity,[status(thm)],[5807])).
% 13.57/9.28 tff(5809,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.28 inference(transitivity,[status(thm)],[5808, 5806])).
% 13.57/9.28 tff(5810,plain,
% 13.57/9.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5811,plain,
% 13.57/9.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91))),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 13.57/9.28 tff(5812,plain,
% 13.57/9.28 (node4(s91) | (~until5(s91))),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5811, 294, 5664])).
% 13.57/9.28 tff(5813,plain,
% 13.57/9.28 (~until5(s91)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5812, 5805])).
% 13.57/9.28 tff(5814,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5815,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5816,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5815, 5814])).
% 13.57/9.28 tff(5817,plain,
% 13.57/9.28 ((~xuntil6(s90)) | until5(s91)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5816, 5692, 312])).
% 13.57/9.28 tff(5818,plain,
% 13.57/9.28 (~xuntil6(s90)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5817, 5813])).
% 13.57/9.28 tff(5819,assumption,(until5(s89)), introduced(assumption)).
% 13.57/9.28 tff(5820,assumption,(~xuntil6(s90)), introduced(assumption)).
% 13.57/9.28 tff(5821,assumption,(~always3(s90)), introduced(assumption)).
% 13.57/9.28 tff(5822,plain,
% 13.57/9.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5823,plain,
% 13.57/9.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5824,plain,
% 13.57/9.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90))),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5823, 5822])).
% 13.57/9.28 tff(5825,plain,
% 13.57/9.28 (~node4(s90)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5824, 36, 5821])).
% 13.57/9.28 tff(5826,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5827,plain,
% 13.57/9.28 ((node4(s90) | (~until5(s90)) | xuntil6(s90)) <=> (xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5828,plain,
% 13.57/9.28 (((~![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))))),
% 13.57/9.28 inference(monotonicity,[status(thm)],[5827])).
% 13.57/9.28 tff(5829,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.28 inference(transitivity,[status(thm)],[5828, 5826])).
% 13.57/9.28 tff(5830,plain,
% 13.57/9.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5831,plain,
% 13.57/9.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90))),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5830, 5829])).
% 13.57/9.28 tff(5832,plain,
% 13.57/9.28 (node4(s90) | (~until5(s90))),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5831, 294, 5820])).
% 13.57/9.28 tff(5833,plain,
% 13.57/9.28 (~until5(s90)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5832, 5825])).
% 13.57/9.28 tff(5834,plain,
% 13.57/9.28 (~always3(s89)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5712, 5821])).
% 13.57/9.28 tff(5835,plain,
% 13.57/9.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5836,plain,
% 13.57/9.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5837,plain,
% 13.57/9.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89))),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5836, 5835])).
% 13.57/9.28 tff(5838,plain,
% 13.57/9.28 (~node4(s89)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5837, 36, 5834])).
% 13.57/9.28 tff(5839,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5840,plain,
% 13.57/9.28 ((node4(s89) | (~until5(s89)) | xuntil6(s89)) <=> (xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5841,plain,
% 13.57/9.28 (((~![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))))),
% 13.57/9.28 inference(monotonicity,[status(thm)],[5840])).
% 13.57/9.28 tff(5842,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.28 inference(transitivity,[status(thm)],[5841, 5839])).
% 13.57/9.28 tff(5843,plain,
% 13.57/9.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5844,plain,
% 13.57/9.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89))),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5843, 5842])).
% 13.57/9.28 tff(5845,plain,
% 13.57/9.28 (xuntil6(s89) | node4(s89)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5844, 294, 5819])).
% 13.57/9.28 tff(5846,plain,
% 13.57/9.28 (xuntil6(s89)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5845, 5838])).
% 13.57/9.28 tff(5847,plain,
% 13.57/9.28 (((~![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))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5848,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5849,plain,
% 13.57/9.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90)),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5848, 5847])).
% 13.57/9.28 tff(5850,plain,
% 13.57/9.28 ((~xuntil6(s89)) | until5(s90)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5849, 5704, 312])).
% 13.57/9.28 tff(5851,plain,
% 13.57/9.28 ($false),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5850, 5846, 5833])).
% 13.57/9.28 tff(5852,plain,(always3(s90) | (~until5(s89)) | xuntil6(s90)), inference(lemma,lemma(discharge,[]))).
% 13.57/9.28 tff(5853,plain,
% 13.57/9.28 (always3(s90)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5852, 5820, 5819])).
% 13.57/9.28 tff(5854,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5855,plain,
% 13.57/9.28 (((~m_main_v_state(s90, c_busy)) | (~always3(s90))) <=> ((~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 13.57/9.28 inference(rewrite,[status(thm)],[])).
% 13.57/9.28 tff(5856,plain,
% 13.57/9.28 (((~![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))))),
% 13.57/9.28 inference(monotonicity,[status(thm)],[5855])).
% 13.57/9.28 tff(5857,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.28 inference(transitivity,[status(thm)],[5856, 5854])).
% 13.57/9.28 tff(5858,plain,
% 13.57/9.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))),
% 13.57/9.28 inference(quant_inst,[status(thm)],[])).
% 13.57/9.28 tff(5859,plain,
% 13.57/9.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy))),
% 13.57/9.28 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 13.57/9.28 tff(5860,plain,
% 13.57/9.28 (~m_main_v_state(s90, c_busy)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5859, 85, 5853])).
% 13.57/9.28 tff(5861,plain,
% 13.57/9.28 (always3(s91)),
% 13.57/9.28 inference(unit_resolution,[status(thm)],[5700, 5853])).
% 13.57/9.28 tff(5862,plain,
% 13.57/9.28 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5863,plain,
% 13.57/9.29 (((~m_main_v_state(s91, c_busy)) | (~always3(s91))) <=> ((~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5864,plain,
% 13.57/9.29 (((~![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))))),
% 13.57/9.29 inference(monotonicity,[status(thm)],[5863])).
% 13.57/9.29 tff(5865,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(transitivity,[status(thm)],[5864, 5862])).
% 13.57/9.29 tff(5866,plain,
% 13.57/9.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5867,plain,
% 13.57/9.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5866, 5865])).
% 13.57/9.29 tff(5868,plain,
% 13.57/9.29 (~m_main_v_state(s91, c_busy)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5867, 85, 5861])).
% 13.57/9.29 tff(5869,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5870,plain,
% 13.57/9.29 ((~![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))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5871,plain,
% 13.57/9.29 ((~![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)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 13.57/9.29 tff(5872,plain,
% 13.57/9.29 (m_main_v_state(s90, c_ready)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5871, 102, 5860])).
% 13.57/9.29 tff(5873,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5874,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s90, s91)) | node2(s90, s91))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5875,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s90, s91)) | node2(s90, s91)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5874, 5873])).
% 13.57/9.29 tff(5876,plain,
% 13.57/9.29 (node2(s90, s91)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5875, 7, 5696])).
% 13.57/9.29 tff(5877,plain,
% 13.57/9.29 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5878,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5879,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 13.57/9.29 tff(5880,plain,
% 13.57/9.29 ((~m_main_v_state(s90, c_ready)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5879, 73, 5876])).
% 13.57/9.29 tff(5881,plain,
% 13.57/9.29 (~m_main_v_request(s90)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5880, 5872, 5868])).
% 13.57/9.29 tff(5882,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5883,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s90) | (~node4(s90)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5884,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s90) | (~node4(s90))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5883, 5882])).
% 13.57/9.29 tff(5885,plain,
% 13.57/9.29 (~node4(s90)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5884, 21, 5881])).
% 13.57/9.29 tff(5886,plain,
% 13.57/9.29 (~until5(s90)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5832, 5885])).
% 13.57/9.29 tff(5887,plain,
% 13.57/9.29 (~xuntil6(s89)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5850, 5886])).
% 13.57/9.29 tff(5888,plain,
% 13.57/9.29 (node4(s89)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5845, 5887])).
% 13.57/9.29 tff(5889,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5890,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s89) | (~node4(s89)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5891,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s89) | (~node4(s89))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5890, 5889])).
% 13.57/9.29 tff(5892,plain,
% 13.57/9.29 (m_main_v_request(s89)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5891, 21, 5888])).
% 13.57/9.29 tff(5893,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5894,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s89, s90)) | node2(s89, s90))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5895,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s89, s90)) | node2(s89, s90)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5894, 5893])).
% 13.57/9.29 tff(5896,plain,
% 13.57/9.29 (node2(s89, s90)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5895, 7, 5708])).
% 13.57/9.29 tff(5897,plain,
% 13.57/9.29 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5898,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5899,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5898, 5897])).
% 13.57/9.29 tff(5900,plain,
% 13.57/9.29 ((~m_main_v_state(s89, c_ready)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5899, 73, 5896])).
% 13.57/9.29 tff(5901,plain,
% 13.57/9.29 (~m_main_v_state(s89, c_ready)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5900, 5892, 5860])).
% 13.57/9.29 tff(5902,plain,
% 13.57/9.29 (always3(s89)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5837, 36, 5888])).
% 13.57/9.29 tff(5903,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5904,plain,
% 13.57/9.29 (((~m_main_v_state(s89, c_busy)) | (~always3(s89))) <=> ((~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5905,plain,
% 13.57/9.29 (((~![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))))),
% 13.57/9.29 inference(monotonicity,[status(thm)],[5904])).
% 13.57/9.29 tff(5906,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(transitivity,[status(thm)],[5905, 5903])).
% 13.57/9.29 tff(5907,plain,
% 13.57/9.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5908,plain,
% 13.57/9.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5907, 5906])).
% 13.57/9.29 tff(5909,plain,
% 13.57/9.29 (~m_main_v_state(s89, c_busy)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5908, 85, 5902])).
% 13.57/9.29 tff(5910,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5911,plain,
% 13.57/9.29 ((~![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))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5912,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 13.57/9.29 tff(5913,plain,
% 13.57/9.29 ($false),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5912, 102, 5909, 5901])).
% 13.57/9.29 tff(5914,plain,(xuntil6(s90) | (~until5(s89))), inference(lemma,lemma(discharge,[]))).
% 13.57/9.29 tff(5915,plain,
% 13.57/9.29 (~until5(s89)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5914, 5818])).
% 13.57/9.29 tff(5916,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5917,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5918,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5917, 5916])).
% 13.57/9.29 tff(5919,plain,
% 13.57/9.29 ((~xuntil6(s88)) | until5(s89)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5918, 5716, 312])).
% 13.57/9.29 tff(5920,plain,
% 13.57/9.29 (~xuntil6(s88)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5919, 5915])).
% 13.57/9.29 tff(5921,assumption,(node4(s88)), introduced(assumption)).
% 13.57/9.29 tff(5922,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5923,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s88) | (~node4(s88)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5924,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s88) | (~node4(s88))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5923, 5922])).
% 13.57/9.29 tff(5925,plain,
% 13.57/9.29 (m_main_v_request(s88)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5924, 21, 5921])).
% 13.57/9.29 tff(5926,plain,
% 13.57/9.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5927,plain,
% 13.57/9.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5928,plain,
% 13.57/9.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 13.57/9.29 tff(5929,plain,
% 13.57/9.29 (always3(s88)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5928, 36, 5921])).
% 13.57/9.29 tff(5930,plain,
% 13.57/9.29 (always3(s89)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5724, 5929])).
% 13.57/9.29 tff(5931,plain,
% 13.57/9.29 (~m_main_v_state(s89, c_busy)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5908, 85, 5930])).
% 13.57/9.29 tff(5932,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5933,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s88, s89)) | node2(s88, s89))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5934,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s88, s89)) | node2(s88, s89)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5933, 5932])).
% 13.57/9.29 tff(5935,plain,
% 13.57/9.29 (node2(s88, s89)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5934, 7, 5720])).
% 13.57/9.29 tff(5936,plain,
% 13.57/9.29 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5937,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5938,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5937, 5936])).
% 13.57/9.29 tff(5939,plain,
% 13.57/9.29 ((~m_main_v_state(s88, c_ready)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5938, 73, 5935])).
% 13.57/9.29 tff(5940,plain,
% 13.57/9.29 (~m_main_v_state(s88, c_ready)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5939, 5931, 5925])).
% 13.57/9.29 tff(5941,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5942,plain,
% 13.57/9.29 (((~m_main_v_state(s88, c_busy)) | (~always3(s88))) <=> ((~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5943,plain,
% 13.57/9.29 (((~![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))))),
% 13.57/9.29 inference(monotonicity,[status(thm)],[5942])).
% 13.57/9.29 tff(5944,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(transitivity,[status(thm)],[5943, 5941])).
% 13.57/9.29 tff(5945,plain,
% 13.57/9.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5946,plain,
% 13.57/9.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 13.57/9.29 tff(5947,plain,
% 13.57/9.29 (~m_main_v_state(s88, c_busy)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5946, 85, 5929])).
% 13.57/9.29 tff(5948,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5949,plain,
% 13.57/9.29 ((~![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))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5950,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 13.57/9.29 tff(5951,plain,
% 13.57/9.29 ($false),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5950, 102, 5947, 5940])).
% 13.57/9.29 tff(5952,plain,(~node4(s88)), inference(lemma,lemma(discharge,[]))).
% 13.57/9.29 tff(5953,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5954,plain,
% 13.57/9.29 ((node4(s88) | (~until5(s88)) | xuntil6(s88)) <=> (xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5955,plain,
% 13.57/9.29 (((~![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))))),
% 13.57/9.29 inference(monotonicity,[status(thm)],[5954])).
% 13.57/9.29 tff(5956,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(transitivity,[status(thm)],[5955, 5953])).
% 13.57/9.29 tff(5957,plain,
% 13.57/9.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5958,plain,
% 13.57/9.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5957, 5956])).
% 13.57/9.29 tff(5959,plain,
% 13.57/9.29 (xuntil6(s88) | (~until5(s88))),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5958, 294, 5952])).
% 13.57/9.29 tff(5960,plain,
% 13.57/9.29 (~until5(s88)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5959, 5920])).
% 13.57/9.29 tff(5961,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5962,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5963,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 13.57/9.29 tff(5964,plain,
% 13.57/9.29 ((~xuntil6(s87)) | until5(s88)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5963, 5728, 312])).
% 13.57/9.29 tff(5965,plain,
% 13.57/9.29 (~xuntil6(s87)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5964, 5960])).
% 13.57/9.29 tff(5966,assumption,(until5(s86)), introduced(assumption)).
% 13.57/9.29 tff(5967,assumption,(~xuntil6(s87)), introduced(assumption)).
% 13.57/9.29 tff(5968,assumption,(~always3(s87)), introduced(assumption)).
% 13.57/9.29 tff(5969,plain,
% 13.57/9.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5970,plain,
% 13.57/9.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5971,plain,
% 13.57/9.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5970, 5969])).
% 13.57/9.29 tff(5972,plain,
% 13.57/9.29 (~node4(s87)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5971, 36, 5968])).
% 13.57/9.29 tff(5973,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5974,plain,
% 13.57/9.29 ((node4(s87) | (~until5(s87)) | xuntil6(s87)) <=> (xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5975,plain,
% 13.57/9.29 (((~![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))))),
% 13.57/9.29 inference(monotonicity,[status(thm)],[5974])).
% 13.57/9.29 tff(5976,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(transitivity,[status(thm)],[5975, 5973])).
% 13.57/9.29 tff(5977,plain,
% 13.57/9.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5978,plain,
% 13.57/9.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5977, 5976])).
% 13.57/9.29 tff(5979,plain,
% 13.57/9.29 (node4(s87) | (~until5(s87))),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5978, 294, 5967])).
% 13.57/9.29 tff(5980,plain,
% 13.57/9.29 (~until5(s87)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5979, 5972])).
% 13.57/9.29 tff(5981,plain,
% 13.57/9.29 (~always3(s86)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5748, 5968])).
% 13.57/9.29 tff(5982,plain,
% 13.57/9.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5983,plain,
% 13.57/9.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5984,plain,
% 13.57/9.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 13.57/9.29 tff(5985,plain,
% 13.57/9.29 (~node4(s86)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5984, 36, 5981])).
% 13.57/9.29 tff(5986,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5987,plain,
% 13.57/9.29 ((node4(s86) | (~until5(s86)) | xuntil6(s86)) <=> (xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5988,plain,
% 13.57/9.29 (((~![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))))),
% 13.57/9.29 inference(monotonicity,[status(thm)],[5987])).
% 13.57/9.29 tff(5989,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(transitivity,[status(thm)],[5988, 5986])).
% 13.57/9.29 tff(5990,plain,
% 13.57/9.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5991,plain,
% 13.57/9.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 13.57/9.29 tff(5992,plain,
% 13.57/9.29 (xuntil6(s86) | node4(s86)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5991, 294, 5966])).
% 13.57/9.29 tff(5993,plain,
% 13.57/9.29 (xuntil6(s86)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5992, 5985])).
% 13.57/9.29 tff(5994,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(5995,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(5996,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[5995, 5994])).
% 13.57/9.29 tff(5997,plain,
% 13.57/9.29 ((~xuntil6(s86)) | until5(s87)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5996, 5740, 312])).
% 13.57/9.29 tff(5998,plain,
% 13.57/9.29 ($false),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5997, 5993, 5980])).
% 13.57/9.29 tff(5999,plain,(always3(s87) | (~until5(s86)) | xuntil6(s87)), inference(lemma,lemma(discharge,[]))).
% 13.57/9.29 tff(6000,plain,
% 13.57/9.29 (always3(s87)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5999, 5967, 5966])).
% 13.57/9.29 tff(6001,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(6002,plain,
% 13.57/9.29 (((~m_main_v_state(s87, c_busy)) | (~always3(s87))) <=> ((~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(6003,plain,
% 13.57/9.29 (((~![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))))),
% 13.57/9.29 inference(monotonicity,[status(thm)],[6002])).
% 13.57/9.29 tff(6004,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(transitivity,[status(thm)],[6003, 6001])).
% 13.57/9.29 tff(6005,plain,
% 13.57/9.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(6006,plain,
% 13.57/9.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 13.57/9.29 tff(6007,plain,
% 13.57/9.29 (~m_main_v_state(s87, c_busy)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[6006, 85, 6000])).
% 13.57/9.29 tff(6008,plain,
% 13.57/9.29 (always3(s88)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5736, 6000])).
% 13.57/9.29 tff(6009,plain,
% 13.57/9.29 (~m_main_v_state(s88, c_busy)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[5946, 85, 6008])).
% 13.57/9.29 tff(6010,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(6011,plain,
% 13.57/9.29 ((~![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))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(6012,plain,
% 13.57/9.29 ((~![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)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[6011, 6010])).
% 13.57/9.29 tff(6013,plain,
% 13.57/9.29 (m_main_v_state(s87, c_ready)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[6012, 102, 6007])).
% 13.57/9.29 tff(6014,plain,
% 13.57/9.29 (((~![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))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(6015,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s87, s88)) | node2(s87, s88))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(6016,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s87, s88)) | node2(s87, s88)),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[6015, 6014])).
% 13.57/9.29 tff(6017,plain,
% 13.57/9.29 (node2(s87, s88)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[6016, 7, 5732])).
% 13.57/9.29 tff(6018,plain,
% 13.57/9.29 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(6019,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(6020,plain,
% 13.57/9.29 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[6019, 6018])).
% 13.57/9.29 tff(6021,plain,
% 13.57/9.29 ((~m_main_v_state(s87, c_ready)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[6020, 73, 6017])).
% 13.57/9.29 tff(6022,plain,
% 13.57/9.29 (~m_main_v_request(s87)),
% 13.57/9.29 inference(unit_resolution,[status(thm)],[6021, 6013, 6009])).
% 13.57/9.29 tff(6023,plain,
% 13.57/9.29 (((~![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)))),
% 13.57/9.29 inference(rewrite,[status(thm)],[])).
% 13.57/9.29 tff(6024,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s87) | (~node4(s87)))),
% 13.57/9.29 inference(quant_inst,[status(thm)],[])).
% 13.57/9.29 tff(6025,plain,
% 13.57/9.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s87) | (~node4(s87))),
% 13.57/9.29 inference(modus_ponens,[status(thm)],[6024, 6023])).
% 13.57/9.30 tff(6026,plain,
% 13.57/9.30 (~node4(s87)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6025, 21, 6022])).
% 13.57/9.30 tff(6027,plain,
% 13.57/9.30 (~until5(s87)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[5979, 6026])).
% 13.57/9.30 tff(6028,plain,
% 13.57/9.30 (~xuntil6(s86)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[5997, 6027])).
% 13.57/9.30 tff(6029,plain,
% 13.57/9.30 (node4(s86)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[5992, 6028])).
% 13.57/9.30 tff(6030,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6031,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s86) | (~node4(s86)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6032,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s86) | (~node4(s86))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 13.57/9.30 tff(6033,plain,
% 13.57/9.30 (m_main_v_request(s86)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6032, 21, 6029])).
% 13.57/9.30 tff(6034,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6035,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s86, s87)) | node2(s86, s87))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6036,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s86, s87)) | node2(s86, s87)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6035, 6034])).
% 13.57/9.30 tff(6037,plain,
% 13.57/9.30 (node2(s86, s87)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6036, 7, 5744])).
% 13.57/9.30 tff(6038,plain,
% 13.57/9.30 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6039,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6040,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 13.57/9.30 tff(6041,plain,
% 13.57/9.30 ((~m_main_v_state(s86, c_ready)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6040, 73, 6037])).
% 13.57/9.30 tff(6042,plain,
% 13.57/9.30 (~m_main_v_state(s86, c_ready)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6041, 6033, 6007])).
% 13.57/9.30 tff(6043,plain,
% 13.57/9.30 (always3(s86)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[5984, 36, 6029])).
% 13.57/9.30 tff(6044,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6045,plain,
% 13.57/9.30 (((~m_main_v_state(s86, c_busy)) | (~always3(s86))) <=> ((~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6046,plain,
% 13.57/9.30 (((~![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))))),
% 13.57/9.30 inference(monotonicity,[status(thm)],[6045])).
% 13.57/9.30 tff(6047,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(transitivity,[status(thm)],[6046, 6044])).
% 13.57/9.30 tff(6048,plain,
% 13.57/9.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6049,plain,
% 13.57/9.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 13.57/9.30 tff(6050,plain,
% 13.57/9.30 (~m_main_v_state(s86, c_busy)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6049, 85, 6043])).
% 13.57/9.30 tff(6051,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6052,plain,
% 13.57/9.30 ((~![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))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6053,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6052, 6051])).
% 13.57/9.30 tff(6054,plain,
% 13.57/9.30 ($false),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6053, 102, 6050, 6042])).
% 13.57/9.30 tff(6055,plain,(xuntil6(s87) | (~until5(s86))), inference(lemma,lemma(discharge,[]))).
% 13.57/9.30 tff(6056,plain,
% 13.57/9.30 (~until5(s86)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6055, 5965])).
% 13.57/9.30 tff(6057,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6058,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6059,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 13.57/9.30 tff(6060,plain,
% 13.57/9.30 ((~xuntil6(s85)) | until5(s86)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6059, 5752, 312])).
% 13.57/9.30 tff(6061,plain,
% 13.57/9.30 (~xuntil6(s85)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6060, 6056])).
% 13.57/9.30 tff(6062,assumption,(node4(s85)), introduced(assumption)).
% 13.57/9.30 tff(6063,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6064,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s85) | (~node4(s85)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6065,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s85) | (~node4(s85))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6064, 6063])).
% 13.57/9.30 tff(6066,plain,
% 13.57/9.30 (m_main_v_request(s85)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6065, 21, 6062])).
% 13.57/9.30 tff(6067,plain,
% 13.57/9.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6068,plain,
% 13.57/9.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6069,plain,
% 13.57/9.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6068, 6067])).
% 13.57/9.30 tff(6070,plain,
% 13.57/9.30 (always3(s85)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6069, 36, 6062])).
% 13.57/9.30 tff(6071,plain,
% 13.57/9.30 (always3(s86)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[5760, 6070])).
% 13.57/9.30 tff(6072,plain,
% 13.57/9.30 (~m_main_v_state(s86, c_busy)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6049, 85, 6071])).
% 13.57/9.30 tff(6073,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6074,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s85, s86)) | node2(s85, s86))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6075,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s85, s86)) | node2(s85, s86)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6074, 6073])).
% 13.57/9.30 tff(6076,plain,
% 13.57/9.30 (node2(s85, s86)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6075, 7, 5756])).
% 13.57/9.30 tff(6077,plain,
% 13.57/9.30 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6078,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6079,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6078, 6077])).
% 13.57/9.30 tff(6080,plain,
% 13.57/9.30 ((~m_main_v_state(s85, c_ready)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6079, 73, 6076])).
% 13.57/9.30 tff(6081,plain,
% 13.57/9.30 (~m_main_v_state(s85, c_ready)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6080, 6072, 6066])).
% 13.57/9.30 tff(6082,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6083,plain,
% 13.57/9.30 (((~m_main_v_state(s85, c_busy)) | (~always3(s85))) <=> ((~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6084,plain,
% 13.57/9.30 (((~![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))))),
% 13.57/9.30 inference(monotonicity,[status(thm)],[6083])).
% 13.57/9.30 tff(6085,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(transitivity,[status(thm)],[6084, 6082])).
% 13.57/9.30 tff(6086,plain,
% 13.57/9.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6087,plain,
% 13.57/9.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 13.57/9.30 tff(6088,plain,
% 13.57/9.30 (~m_main_v_state(s85, c_busy)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6087, 85, 6070])).
% 13.57/9.30 tff(6089,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6090,plain,
% 13.57/9.30 ((~![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))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6091,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6090, 6089])).
% 13.57/9.30 tff(6092,plain,
% 13.57/9.30 ($false),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6091, 102, 6088, 6081])).
% 13.57/9.30 tff(6093,plain,(~node4(s85)), inference(lemma,lemma(discharge,[]))).
% 13.57/9.30 tff(6094,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6095,plain,
% 13.57/9.30 ((node4(s85) | (~until5(s85)) | xuntil6(s85)) <=> (xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6096,plain,
% 13.57/9.30 (((~![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))))),
% 13.57/9.30 inference(monotonicity,[status(thm)],[6095])).
% 13.57/9.30 tff(6097,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(transitivity,[status(thm)],[6096, 6094])).
% 13.57/9.30 tff(6098,plain,
% 13.57/9.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6099,plain,
% 13.57/9.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6098, 6097])).
% 13.57/9.30 tff(6100,plain,
% 13.57/9.30 (xuntil6(s85) | (~until5(s85))),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6099, 294, 6093])).
% 13.57/9.30 tff(6101,plain,
% 13.57/9.30 (~until5(s85)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6100, 6061])).
% 13.57/9.30 tff(6102,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6103,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6104,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 13.57/9.30 tff(6105,plain,
% 13.57/9.30 ((~xuntil6(s84)) | until5(s85)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6104, 5764, 312])).
% 13.57/9.30 tff(6106,plain,
% 13.57/9.30 (~xuntil6(s84)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6105, 6101])).
% 13.57/9.30 tff(6107,assumption,(node4(s84)), introduced(assumption)).
% 13.57/9.30 tff(6108,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6109,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s84) | (~node4(s84)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6110,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s84) | (~node4(s84))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 13.57/9.30 tff(6111,plain,
% 13.57/9.30 (m_main_v_request(s84)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6110, 21, 6107])).
% 13.57/9.30 tff(6112,plain,
% 13.57/9.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6113,plain,
% 13.57/9.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6114,plain,
% 13.57/9.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 13.57/9.30 tff(6115,plain,
% 13.57/9.30 (always3(s84)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6114, 36, 6107])).
% 13.57/9.30 tff(6116,plain,
% 13.57/9.30 (always3(s85)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[5772, 6115])).
% 13.57/9.30 tff(6117,plain,
% 13.57/9.30 (~m_main_v_state(s85, c_busy)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6087, 85, 6116])).
% 13.57/9.30 tff(6118,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6119,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s84, s85)) | node2(s84, s85))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6120,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s84, s85)) | node2(s84, s85)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6119, 6118])).
% 13.57/9.30 tff(6121,plain,
% 13.57/9.30 (node2(s84, s85)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6120, 7, 5768])).
% 13.57/9.30 tff(6122,plain,
% 13.57/9.30 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6123,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6124,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 13.57/9.30 tff(6125,plain,
% 13.57/9.30 ((~m_main_v_state(s84, c_ready)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6124, 73, 6121])).
% 13.57/9.30 tff(6126,plain,
% 13.57/9.30 (~m_main_v_state(s84, c_ready)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6125, 6117, 6111])).
% 13.57/9.30 tff(6127,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6128,plain,
% 13.57/9.30 (((~m_main_v_state(s84, c_busy)) | (~always3(s84))) <=> ((~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6129,plain,
% 13.57/9.30 (((~![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))))),
% 13.57/9.30 inference(monotonicity,[status(thm)],[6128])).
% 13.57/9.30 tff(6130,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(transitivity,[status(thm)],[6129, 6127])).
% 13.57/9.30 tff(6131,plain,
% 13.57/9.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6132,plain,
% 13.57/9.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6131, 6130])).
% 13.57/9.30 tff(6133,plain,
% 13.57/9.30 (~m_main_v_state(s84, c_busy)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6132, 85, 6115])).
% 13.57/9.30 tff(6134,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6135,plain,
% 13.57/9.30 ((~![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))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6136,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 13.57/9.30 tff(6137,plain,
% 13.57/9.30 ($false),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6136, 102, 6133, 6126])).
% 13.57/9.30 tff(6138,plain,(~node4(s84)), inference(lemma,lemma(discharge,[]))).
% 13.57/9.30 tff(6139,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6140,plain,
% 13.57/9.30 ((node4(s84) | (~until5(s84)) | xuntil6(s84)) <=> (xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6141,plain,
% 13.57/9.30 (((~![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))))),
% 13.57/9.30 inference(monotonicity,[status(thm)],[6140])).
% 13.57/9.30 tff(6142,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(transitivity,[status(thm)],[6141, 6139])).
% 13.57/9.30 tff(6143,plain,
% 13.57/9.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6144,plain,
% 13.57/9.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 13.57/9.30 tff(6145,plain,
% 13.57/9.30 (xuntil6(s84) | (~until5(s84))),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6144, 294, 6138])).
% 13.57/9.30 tff(6146,plain,
% 13.57/9.30 (~until5(s84)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6145, 6106])).
% 13.57/9.30 tff(6147,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6148,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6149,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6148, 6147])).
% 13.57/9.30 tff(6150,plain,
% 13.57/9.30 ((~xuntil6(s83)) | until5(s84)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6149, 5776, 312])).
% 13.57/9.30 tff(6151,plain,
% 13.57/9.30 (~xuntil6(s83)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6150, 6146])).
% 13.57/9.30 tff(6152,assumption,(node4(s83)), introduced(assumption)).
% 13.57/9.30 tff(6153,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6154,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s83) | (~node4(s83)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6155,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s83) | (~node4(s83))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6154, 6153])).
% 13.57/9.30 tff(6156,plain,
% 13.57/9.30 (m_main_v_request(s83)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6155, 21, 6152])).
% 13.57/9.30 tff(6157,plain,
% 13.57/9.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6158,plain,
% 13.57/9.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6159,plain,
% 13.57/9.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 13.57/9.30 tff(6160,plain,
% 13.57/9.30 (always3(s83)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6159, 36, 6152])).
% 13.57/9.30 tff(6161,plain,
% 13.57/9.30 (always3(s84)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[5784, 6160])).
% 13.57/9.30 tff(6162,plain,
% 13.57/9.30 (~m_main_v_state(s84, c_busy)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6132, 85, 6161])).
% 13.57/9.30 tff(6163,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6164,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s83, s84)) | node2(s83, s84))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6165,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s83, s84)) | node2(s83, s84)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 13.57/9.30 tff(6166,plain,
% 13.57/9.30 (node2(s83, s84)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6165, 7, 5780])).
% 13.57/9.30 tff(6167,plain,
% 13.57/9.30 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6168,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6169,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6168, 6167])).
% 13.57/9.30 tff(6170,plain,
% 13.57/9.30 ((~m_main_v_state(s83, c_ready)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83))),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6169, 73, 6166])).
% 13.57/9.30 tff(6171,plain,
% 13.57/9.30 (~m_main_v_state(s83, c_ready)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6170, 6162, 6156])).
% 13.57/9.30 tff(6172,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6173,plain,
% 13.57/9.30 (((~m_main_v_state(s83, c_busy)) | (~always3(s83))) <=> ((~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6174,plain,
% 13.57/9.30 (((~![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))))),
% 13.57/9.30 inference(monotonicity,[status(thm)],[6173])).
% 13.57/9.30 tff(6175,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(transitivity,[status(thm)],[6174, 6172])).
% 13.57/9.30 tff(6176,plain,
% 13.57/9.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6177,plain,
% 13.57/9.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6176, 6175])).
% 13.57/9.30 tff(6178,plain,
% 13.57/9.30 (~m_main_v_state(s83, c_busy)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6177, 85, 6160])).
% 13.57/9.30 tff(6179,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6180,plain,
% 13.57/9.30 ((~![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))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6181,plain,
% 13.57/9.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6180, 6179])).
% 13.57/9.30 tff(6182,plain,
% 13.57/9.30 ($false),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6181, 102, 6178, 6171])).
% 13.57/9.30 tff(6183,plain,(~node4(s83)), inference(lemma,lemma(discharge,[]))).
% 13.57/9.30 tff(6184,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6185,plain,
% 13.57/9.30 ((node4(s83) | (~until5(s83)) | xuntil6(s83)) <=> (xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6186,plain,
% 13.57/9.30 (((~![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))))),
% 13.57/9.30 inference(monotonicity,[status(thm)],[6185])).
% 13.57/9.30 tff(6187,plain,
% 13.57/9.30 (((~![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)))),
% 13.57/9.30 inference(transitivity,[status(thm)],[6186, 6184])).
% 13.57/9.30 tff(6188,plain,
% 13.57/9.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6189,plain,
% 13.57/9.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83))),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 13.57/9.30 tff(6190,plain,
% 13.57/9.30 (xuntil6(s83) | (~until5(s83))),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6189, 294, 6183])).
% 13.57/9.30 tff(6191,plain,
% 13.57/9.30 (~until5(s83)),
% 13.57/9.30 inference(unit_resolution,[status(thm)],[6190, 6151])).
% 13.57/9.30 tff(6192,plain,
% 13.57/9.30 (((~![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))),
% 13.57/9.30 inference(rewrite,[status(thm)],[])).
% 13.57/9.30 tff(6193,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))),
% 13.57/9.30 inference(quant_inst,[status(thm)],[])).
% 13.57/9.30 tff(6194,plain,
% 13.57/9.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83)),
% 13.57/9.30 inference(modus_ponens,[status(thm)],[6193, 6192])).
% 13.60/9.30 tff(6195,plain,
% 13.60/9.30 ((~xuntil6(s82)) | until5(s83)),
% 13.60/9.30 inference(unit_resolution,[status(thm)],[6194, 5788, 312])).
% 13.60/9.30 tff(6196,plain,
% 13.60/9.30 (~xuntil6(s82)),
% 13.60/9.30 inference(unit_resolution,[status(thm)],[6195, 6191])).
% 13.60/9.30 tff(6197,plain,
% 13.60/9.30 (((~![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)))),
% 13.60/9.30 inference(rewrite,[status(thm)],[])).
% 13.60/9.30 tff(6198,plain,
% 13.60/9.30 ((node4(s82) | (~until5(s82)) | xuntil6(s82)) <=> (xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 13.60/9.30 inference(rewrite,[status(thm)],[])).
% 13.60/9.30 tff(6199,plain,
% 13.60/9.30 (((~![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))))),
% 13.60/9.30 inference(monotonicity,[status(thm)],[6198])).
% 13.60/9.30 tff(6200,plain,
% 13.60/9.30 (((~![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)))),
% 13.60/9.31 inference(transitivity,[status(thm)],[6199, 6197])).
% 13.60/9.31 tff(6201,plain,
% 13.60/9.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6202,plain,
% 13.60/9.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6201, 6200])).
% 13.60/9.31 tff(6203,plain,
% 13.60/9.31 (~until5(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6202, 294, 6196, 5801])).
% 13.60/9.31 tff(6204,plain,
% 13.60/9.31 (succ(s81, s82) <=> succ(s81, s82)),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6205,axiom,(succ(s81, s82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound82')).
% 13.60/9.31 tff(6206,plain,
% 13.60/9.31 (succ(s81, s82)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 13.60/9.31 tff(6207,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6208,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6209,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6208, 6207])).
% 13.60/9.31 tff(6210,plain,
% 13.60/9.31 ((~xuntil6(s81)) | until5(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6209, 6206, 312])).
% 13.60/9.31 tff(6211,plain,
% 13.60/9.31 (~xuntil6(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6210, 6203])).
% 13.60/9.31 tff(6212,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6213,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6214,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6213, 6212])).
% 13.60/9.31 tff(6215,plain,
% 13.60/9.31 (trans(s81, s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6214, 6206, 52])).
% 13.60/9.31 tff(6216,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6217,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s81, s82)) | (~always3(s81)) | always3(s82))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6218,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s81, s82)) | (~always3(s81)) | always3(s82)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6217, 6216])).
% 13.60/9.31 tff(6219,plain,
% 13.60/9.31 ((~always3(s81)) | always3(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6218, 125, 6215])).
% 13.60/9.31 tff(6220,plain,
% 13.60/9.31 (~always3(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6219, 5797])).
% 13.60/9.31 tff(6221,plain,
% 13.60/9.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6222,plain,
% 13.60/9.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6223,plain,
% 13.60/9.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 13.60/9.31 tff(6224,plain,
% 13.60/9.31 (~node4(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6223, 36, 6220])).
% 13.60/9.31 tff(6225,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6226,plain,
% 13.60/9.31 ((node4(s81) | (~until5(s81)) | xuntil6(s81)) <=> (xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6227,plain,
% 13.60/9.31 (((~![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))))),
% 13.60/9.31 inference(monotonicity,[status(thm)],[6226])).
% 13.60/9.31 tff(6228,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(transitivity,[status(thm)],[6227, 6225])).
% 13.60/9.31 tff(6229,plain,
% 13.60/9.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6230,plain,
% 13.60/9.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 13.60/9.31 tff(6231,plain,
% 13.60/9.31 (xuntil6(s81) | (~until5(s81))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6230, 294, 6224])).
% 13.60/9.31 tff(6232,plain,
% 13.60/9.31 (~until5(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6231, 6211])).
% 13.60/9.31 tff(6233,plain,
% 13.60/9.31 (~xuntil6(s80)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5662, 6232])).
% 13.60/9.31 tff(6234,plain,
% 13.60/9.31 (~until5(s80)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5657, 6233])).
% 13.60/9.31 tff(6235,plain,
% 13.60/9.31 (~xuntil6(s79)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5606, 6234])).
% 13.60/9.31 tff(6236,plain,
% 13.60/9.31 (~always3(s80)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5627, 6220])).
% 13.60/9.31 tff(6237,plain,
% 13.60/9.31 (~always3(s79)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5571, 6236])).
% 13.60/9.31 tff(6238,plain,
% 13.60/9.31 (~node4(s79)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5559, 36, 6237])).
% 13.60/9.31 tff(6239,plain,
% 13.60/9.31 (xuntil6(s79) | (~until5(s79))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5600, 294, 6238])).
% 13.60/9.31 tff(6240,plain,
% 13.60/9.31 (~until5(s79)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6239, 6235])).
% 13.60/9.31 tff(6241,plain,
% 13.60/9.31 (~xuntil6(s78)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5550, 6240])).
% 13.60/9.31 tff(6242,plain,
% 13.60/9.31 (~until5(s78)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5545, 6241])).
% 13.60/9.31 tff(6243,plain,
% 13.60/9.31 (~xuntil6(s77)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5494, 6242])).
% 13.60/9.31 tff(6244,plain,
% 13.60/9.31 (~until5(s77)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5489, 6243])).
% 13.60/9.31 tff(6245,plain,
% 13.60/9.31 (~xuntil6(s76)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5438, 6244])).
% 13.60/9.31 tff(6246,plain,
% 13.60/9.31 (~always3(s78)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5515, 6237])).
% 13.60/9.31 tff(6247,plain,
% 13.60/9.31 (~always3(s77)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5459, 6246])).
% 13.60/9.31 tff(6248,plain,
% 13.60/9.31 (~always3(s76)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5403, 6247])).
% 13.60/9.31 tff(6249,plain,
% 13.60/9.31 (~node4(s76)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5391, 36, 6248])).
% 13.60/9.31 tff(6250,plain,
% 13.60/9.31 (xuntil6(s76) | (~until5(s76))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5432, 294, 6249])).
% 13.60/9.31 tff(6251,plain,
% 13.60/9.31 (~until5(s76)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6250, 6245])).
% 13.60/9.31 tff(6252,plain,
% 13.60/9.31 (~xuntil6(s75)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5382, 6251])).
% 13.60/9.31 tff(6253,plain,
% 13.60/9.31 (~always3(s75)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5347, 6248])).
% 13.60/9.31 tff(6254,plain,
% 13.60/9.31 (~node4(s75)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5335, 36, 6253])).
% 13.60/9.31 tff(6255,plain,
% 13.60/9.31 (xuntil6(s75) | (~until5(s75))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5376, 294, 6254])).
% 13.60/9.31 tff(6256,plain,
% 13.60/9.31 (~until5(s75)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6255, 6252])).
% 13.60/9.31 tff(6257,plain,
% 13.60/9.31 (~always3(s74)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5291, 6253])).
% 13.60/9.31 tff(6258,plain,
% 13.60/9.31 (~always3(s73)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5235, 6257])).
% 13.60/9.31 tff(6259,plain,
% 13.60/9.31 (~always3(s72)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5179, 6258])).
% 13.60/9.31 tff(6260,plain,
% 13.60/9.31 (~always3(s71)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5123, 6259])).
% 13.60/9.31 tff(6261,plain,
% 13.60/9.31 (~always3(s70)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5067, 6260])).
% 13.60/9.31 tff(6262,plain,
% 13.60/9.31 (~always3(s69)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5011, 6261])).
% 13.60/9.31 tff(6263,plain,
% 13.60/9.31 (~always3(s68)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4955, 6262])).
% 13.60/9.31 tff(6264,plain,
% 13.60/9.31 (~always3(s67)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4899, 6263])).
% 13.60/9.31 tff(6265,plain,
% 13.60/9.31 (~node4(s67)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4887, 36, 6264])).
% 13.60/9.31 tff(6266,plain,
% 13.60/9.31 (~always3(s66)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4835, 6264])).
% 13.60/9.31 tff(6267,plain,
% 13.60/9.31 (~node4(s66)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4805, 36, 6266])).
% 13.60/9.31 tff(6268,plain,
% 13.60/9.31 (xuntil6(s66)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4845, 6267])).
% 13.60/9.31 tff(6269,plain,
% 13.60/9.31 (until5(s67)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4878, 6268])).
% 13.60/9.31 tff(6270,plain,
% 13.60/9.31 (xuntil6(s67)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4928, 294, 6269, 6265])).
% 13.60/9.31 tff(6271,plain,
% 13.60/9.31 (until5(s68)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4934, 6270])).
% 13.60/9.31 tff(6272,plain,
% 13.60/9.31 (~node4(s68)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4943, 36, 6263])).
% 13.60/9.31 tff(6273,plain,
% 13.60/9.31 (xuntil6(s68) | (~until5(s68))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4984, 294, 6272])).
% 13.60/9.31 tff(6274,plain,
% 13.60/9.31 (xuntil6(s68)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6273, 6271])).
% 13.60/9.31 tff(6275,plain,
% 13.60/9.31 (until5(s69)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4990, 6274])).
% 13.60/9.31 tff(6276,plain,
% 13.60/9.31 (~node4(s69)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4999, 36, 6262])).
% 13.60/9.31 tff(6277,plain,
% 13.60/9.31 (xuntil6(s69) | (~until5(s69))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5040, 294, 6276])).
% 13.60/9.31 tff(6278,plain,
% 13.60/9.31 (xuntil6(s69)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6277, 6275])).
% 13.60/9.31 tff(6279,plain,
% 13.60/9.31 (until5(s70)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5046, 6278])).
% 13.60/9.31 tff(6280,plain,
% 13.60/9.31 (~node4(s70)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5055, 36, 6261])).
% 13.60/9.31 tff(6281,plain,
% 13.60/9.31 (xuntil6(s70) | (~until5(s70))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5096, 294, 6280])).
% 13.60/9.31 tff(6282,plain,
% 13.60/9.31 (xuntil6(s70)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6281, 6279])).
% 13.60/9.31 tff(6283,plain,
% 13.60/9.31 (until5(s71)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5102, 6282])).
% 13.60/9.31 tff(6284,plain,
% 13.60/9.31 (~node4(s71)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5111, 36, 6260])).
% 13.60/9.31 tff(6285,plain,
% 13.60/9.31 (xuntil6(s71) | (~until5(s71))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5152, 294, 6284])).
% 13.60/9.31 tff(6286,plain,
% 13.60/9.31 (xuntil6(s71)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6285, 6283])).
% 13.60/9.31 tff(6287,plain,
% 13.60/9.31 (until5(s72)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5158, 6286])).
% 13.60/9.31 tff(6288,plain,
% 13.60/9.31 (~node4(s72)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5167, 36, 6259])).
% 13.60/9.31 tff(6289,plain,
% 13.60/9.31 (xuntil6(s72) | (~until5(s72))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5208, 294, 6288])).
% 13.60/9.31 tff(6290,plain,
% 13.60/9.31 (xuntil6(s72)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6289, 6287])).
% 13.60/9.31 tff(6291,plain,
% 13.60/9.31 (until5(s73)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5214, 6290])).
% 13.60/9.31 tff(6292,plain,
% 13.60/9.31 (~node4(s73)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5223, 36, 6258])).
% 13.60/9.31 tff(6293,plain,
% 13.60/9.31 (xuntil6(s73) | (~until5(s73))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5264, 294, 6292])).
% 13.60/9.31 tff(6294,plain,
% 13.60/9.31 (xuntil6(s73)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6293, 6291])).
% 13.60/9.31 tff(6295,plain,
% 13.60/9.31 (until5(s74)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5270, 6294])).
% 13.60/9.31 tff(6296,plain,
% 13.60/9.31 (~node4(s74)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5279, 36, 6257])).
% 13.60/9.31 tff(6297,plain,
% 13.60/9.31 (xuntil6(s74) | (~until5(s74))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5320, 294, 6296])).
% 13.60/9.31 tff(6298,plain,
% 13.60/9.31 (xuntil6(s74)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6297, 6295])).
% 13.60/9.31 tff(6299,plain,
% 13.60/9.31 ($false),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5326, 6298, 6256])).
% 13.60/9.31 tff(6300,plain,(always3(s91) | (~until5(s66)) | xuntil6(s91)), inference(lemma,lemma(discharge,[]))).
% 13.60/9.31 tff(6301,plain,
% 13.60/9.31 (always3(s91)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6300, 5688, 5664])).
% 13.60/9.31 tff(6302,plain,
% 13.60/9.31 (succ(s91, s92) <=> succ(s91, s92)),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6303,axiom,(succ(s91, s92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound92')).
% 13.60/9.31 tff(6304,plain,
% 13.60/9.31 (succ(s91, s92)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6303, 6302])).
% 13.60/9.31 tff(6305,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6306,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6307,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6306, 6305])).
% 13.60/9.31 tff(6308,plain,
% 13.60/9.31 (trans(s91, s92)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6307, 6304, 52])).
% 13.60/9.31 tff(6309,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6310,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s91, s92)) | (~always3(s91)) | always3(s92))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6311,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s91, s92)) | (~always3(s91)) | always3(s92)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6310, 6309])).
% 13.60/9.31 tff(6312,plain,
% 13.60/9.31 ((~always3(s91)) | always3(s92)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6311, 125, 6308])).
% 13.60/9.31 tff(6313,plain,
% 13.60/9.31 (always3(s92)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6312, 6301])).
% 13.60/9.31 tff(6314,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6315,plain,
% 13.60/9.31 (((~m_main_v_state(s92, c_busy)) | (~always3(s92))) <=> ((~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6316,plain,
% 13.60/9.31 (((~![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))))),
% 13.60/9.31 inference(monotonicity,[status(thm)],[6315])).
% 13.60/9.31 tff(6317,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(transitivity,[status(thm)],[6316, 6314])).
% 13.60/9.31 tff(6318,plain,
% 13.60/9.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6319,plain,
% 13.60/9.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6318, 6317])).
% 13.60/9.31 tff(6320,plain,
% 13.60/9.31 (~m_main_v_state(s92, c_busy)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6319, 85, 6313])).
% 13.60/9.31 tff(6321,plain,
% 13.60/9.31 (~m_main_v_state(s91, c_busy)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5867, 85, 6301])).
% 13.60/9.31 tff(6322,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6323,plain,
% 13.60/9.31 ((~![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))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6324,plain,
% 13.60/9.31 ((~![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)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6323, 6322])).
% 13.60/9.31 tff(6325,plain,
% 13.60/9.31 (m_main_v_state(s91, c_ready)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6324, 102, 6321])).
% 13.60/9.31 tff(6326,plain,
% 13.60/9.31 (~node4(s66)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4805, 36, 5680])).
% 13.60/9.31 tff(6327,plain,
% 13.60/9.31 (xuntil6(s66)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4812, 294, 5688, 6326])).
% 13.60/9.31 tff(6328,plain,
% 13.60/9.31 (until5(s67)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4878, 6327])).
% 13.60/9.31 tff(6329,plain,
% 13.60/9.31 (~node4(s67)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4887, 36, 5679])).
% 13.60/9.31 tff(6330,plain,
% 13.60/9.31 (xuntil6(s67) | (~until5(s67))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4928, 294, 6329])).
% 13.60/9.31 tff(6331,plain,
% 13.60/9.31 (xuntil6(s67)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6330, 6328])).
% 13.60/9.31 tff(6332,plain,
% 13.60/9.31 (until5(s68)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4934, 6331])).
% 13.60/9.31 tff(6333,plain,
% 13.60/9.31 (~node4(s68)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4943, 36, 5678])).
% 13.60/9.31 tff(6334,plain,
% 13.60/9.31 (xuntil6(s68) | (~until5(s68))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4984, 294, 6333])).
% 13.60/9.31 tff(6335,plain,
% 13.60/9.31 (xuntil6(s68)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6334, 6332])).
% 13.60/9.31 tff(6336,plain,
% 13.60/9.31 (until5(s69)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4990, 6335])).
% 13.60/9.31 tff(6337,plain,
% 13.60/9.31 (~node4(s69)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[4999, 36, 5677])).
% 13.60/9.31 tff(6338,plain,
% 13.60/9.31 (xuntil6(s69) | (~until5(s69))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5040, 294, 6337])).
% 13.60/9.31 tff(6339,plain,
% 13.60/9.31 (xuntil6(s69)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6338, 6336])).
% 13.60/9.31 tff(6340,plain,
% 13.60/9.31 (until5(s70)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5046, 6339])).
% 13.60/9.31 tff(6341,plain,
% 13.60/9.31 (~node4(s70)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5055, 36, 5676])).
% 13.60/9.31 tff(6342,plain,
% 13.60/9.31 (xuntil6(s70) | (~until5(s70))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5096, 294, 6341])).
% 13.60/9.31 tff(6343,plain,
% 13.60/9.31 (xuntil6(s70)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6342, 6340])).
% 13.60/9.31 tff(6344,plain,
% 13.60/9.31 (until5(s71)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5102, 6343])).
% 13.60/9.31 tff(6345,plain,
% 13.60/9.31 (~node4(s71)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5111, 36, 5675])).
% 13.60/9.31 tff(6346,plain,
% 13.60/9.31 (xuntil6(s71) | (~until5(s71))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5152, 294, 6345])).
% 13.60/9.31 tff(6347,plain,
% 13.60/9.31 (xuntil6(s71)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6346, 6344])).
% 13.60/9.31 tff(6348,plain,
% 13.60/9.31 (until5(s72)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5158, 6347])).
% 13.60/9.31 tff(6349,plain,
% 13.60/9.31 (~node4(s72)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5167, 36, 5674])).
% 13.60/9.31 tff(6350,plain,
% 13.60/9.31 (xuntil6(s72) | (~until5(s72))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5208, 294, 6349])).
% 13.60/9.31 tff(6351,plain,
% 13.60/9.31 (xuntil6(s72)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6350, 6348])).
% 13.60/9.31 tff(6352,plain,
% 13.60/9.31 (until5(s73)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5214, 6351])).
% 13.60/9.31 tff(6353,plain,
% 13.60/9.31 (~node4(s73)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5223, 36, 5673])).
% 13.60/9.31 tff(6354,plain,
% 13.60/9.31 (xuntil6(s73) | (~until5(s73))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5264, 294, 6353])).
% 13.60/9.31 tff(6355,plain,
% 13.60/9.31 (xuntil6(s73)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6354, 6352])).
% 13.60/9.31 tff(6356,plain,
% 13.60/9.31 (until5(s74)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5270, 6355])).
% 13.60/9.31 tff(6357,plain,
% 13.60/9.31 (~node4(s74)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5279, 36, 5672])).
% 13.60/9.31 tff(6358,plain,
% 13.60/9.31 (xuntil6(s74) | (~until5(s74))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5320, 294, 6357])).
% 13.60/9.31 tff(6359,plain,
% 13.60/9.31 (xuntil6(s74)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6358, 6356])).
% 13.60/9.31 tff(6360,plain,
% 13.60/9.31 (until5(s75)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5326, 6359])).
% 13.60/9.31 tff(6361,plain,
% 13.60/9.31 (~node4(s75)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5335, 36, 5671])).
% 13.60/9.31 tff(6362,plain,
% 13.60/9.31 (xuntil6(s75) | (~until5(s75))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5376, 294, 6361])).
% 13.60/9.31 tff(6363,plain,
% 13.60/9.31 (xuntil6(s75)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6362, 6360])).
% 13.60/9.31 tff(6364,plain,
% 13.60/9.31 (until5(s76)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5382, 6363])).
% 13.60/9.31 tff(6365,plain,
% 13.60/9.31 (~node4(s76)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5391, 36, 5670])).
% 13.60/9.31 tff(6366,plain,
% 13.60/9.31 (xuntil6(s76) | (~until5(s76))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5432, 294, 6365])).
% 13.60/9.31 tff(6367,plain,
% 13.60/9.31 (xuntil6(s76)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6366, 6364])).
% 13.60/9.31 tff(6368,plain,
% 13.60/9.31 (until5(s77)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5438, 6367])).
% 13.60/9.31 tff(6369,plain,
% 13.60/9.31 (xuntil6(s77)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5489, 6368])).
% 13.60/9.31 tff(6370,plain,
% 13.60/9.31 (until5(s78)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5494, 6369])).
% 13.60/9.31 tff(6371,plain,
% 13.60/9.31 (xuntil6(s78)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5545, 6370])).
% 13.60/9.31 tff(6372,plain,
% 13.60/9.31 (until5(s79)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5550, 6371])).
% 13.60/9.31 tff(6373,plain,
% 13.60/9.31 (~node4(s79)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5559, 36, 5667])).
% 13.60/9.31 tff(6374,plain,
% 13.60/9.31 (xuntil6(s79) | (~until5(s79))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5600, 294, 6373])).
% 13.60/9.31 tff(6375,plain,
% 13.60/9.31 (xuntil6(s79)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6374, 6372])).
% 13.60/9.31 tff(6376,plain,
% 13.60/9.31 (until5(s80)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5606, 6375])).
% 13.60/9.31 tff(6377,plain,
% 13.60/9.31 (xuntil6(s80)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5657, 6376])).
% 13.60/9.31 tff(6378,plain,
% 13.60/9.31 (until5(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5662, 6377])).
% 13.60/9.31 tff(6379,plain,
% 13.60/9.31 (~node4(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6223, 36, 5665])).
% 13.60/9.31 tff(6380,plain,
% 13.60/9.31 (xuntil6(s81) | (~until5(s81))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6230, 294, 6379])).
% 13.60/9.31 tff(6381,plain,
% 13.60/9.31 (xuntil6(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6380, 6378])).
% 13.60/9.31 tff(6382,plain,
% 13.60/9.31 (until5(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6210, 6381])).
% 13.60/9.31 tff(6383,assumption,(node4(s82)), introduced(assumption)).
% 13.60/9.31 tff(6384,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6385,plain,
% 13.60/9.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s82) | (~node4(s82)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6386,plain,
% 13.60/9.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s82) | (~node4(s82))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6385, 6384])).
% 13.60/9.31 tff(6387,plain,
% 13.60/9.31 (m_main_v_request(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6386, 21, 6383])).
% 13.60/9.31 tff(6388,plain,
% 13.60/9.31 (always3(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5800, 36, 6383])).
% 13.60/9.31 tff(6389,plain,
% 13.60/9.31 (always3(s83)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5796, 6388])).
% 13.60/9.31 tff(6390,plain,
% 13.60/9.31 (~m_main_v_state(s83, c_busy)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6177, 85, 6389])).
% 13.60/9.31 tff(6391,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6392,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s82, s83)) | node2(s82, s83))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6393,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s82, s83)) | node2(s82, s83)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6392, 6391])).
% 13.60/9.31 tff(6394,plain,
% 13.60/9.31 (node2(s82, s83)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6393, 7, 5792])).
% 13.60/9.31 tff(6395,plain,
% 13.60/9.31 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6396,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6397,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6396, 6395])).
% 13.60/9.31 tff(6398,plain,
% 13.60/9.31 ((~m_main_v_state(s82, c_ready)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6397, 73, 6394])).
% 13.60/9.31 tff(6399,plain,
% 13.60/9.31 (~m_main_v_state(s82, c_ready)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6398, 6390, 6387])).
% 13.60/9.31 tff(6400,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6401,plain,
% 13.60/9.31 (((~m_main_v_state(s82, c_busy)) | (~always3(s82))) <=> ((~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6402,plain,
% 13.60/9.31 (((~![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))))),
% 13.60/9.31 inference(monotonicity,[status(thm)],[6401])).
% 13.60/9.31 tff(6403,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(transitivity,[status(thm)],[6402, 6400])).
% 13.60/9.31 tff(6404,plain,
% 13.60/9.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6405,plain,
% 13.60/9.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6404, 6403])).
% 13.60/9.31 tff(6406,plain,
% 13.60/9.31 (~m_main_v_state(s82, c_busy)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6405, 85, 6388])).
% 13.60/9.31 tff(6407,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6408,plain,
% 13.60/9.31 ((~![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))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6409,plain,
% 13.60/9.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6408, 6407])).
% 13.60/9.31 tff(6410,plain,
% 13.60/9.31 ($false),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6409, 102, 6406, 6399])).
% 13.60/9.31 tff(6411,plain,(~node4(s82)), inference(lemma,lemma(discharge,[]))).
% 13.60/9.31 tff(6412,plain,
% 13.60/9.31 (xuntil6(s82) | (~until5(s82))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6202, 294, 6411])).
% 13.60/9.31 tff(6413,plain,
% 13.60/9.31 (xuntil6(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6412, 6382])).
% 13.60/9.31 tff(6414,plain,
% 13.60/9.31 (until5(s83)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6195, 6413])).
% 13.60/9.31 tff(6415,plain,
% 13.60/9.31 (xuntil6(s83)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6190, 6414])).
% 13.60/9.31 tff(6416,plain,
% 13.60/9.31 (until5(s84)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6150, 6415])).
% 13.60/9.31 tff(6417,plain,
% 13.60/9.31 (xuntil6(s84)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6145, 6416])).
% 13.60/9.31 tff(6418,plain,
% 13.60/9.31 (until5(s85)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6105, 6417])).
% 13.60/9.31 tff(6419,plain,
% 13.60/9.31 (xuntil6(s85)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6100, 6418])).
% 13.60/9.31 tff(6420,plain,
% 13.60/9.31 (until5(s86)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6060, 6419])).
% 13.60/9.31 tff(6421,plain,
% 13.60/9.31 (xuntil6(s87)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6055, 6420])).
% 13.60/9.31 tff(6422,plain,
% 13.60/9.31 (until5(s88)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5964, 6421])).
% 13.60/9.31 tff(6423,plain,
% 13.60/9.31 (xuntil6(s88)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5959, 6422])).
% 13.60/9.31 tff(6424,plain,
% 13.60/9.31 (until5(s89)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5919, 6423])).
% 13.60/9.31 tff(6425,plain,
% 13.60/9.31 (xuntil6(s90)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5914, 6424])).
% 13.60/9.31 tff(6426,plain,
% 13.60/9.31 (until5(s91)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5817, 6425])).
% 13.60/9.31 tff(6427,plain,
% 13.60/9.31 (node4(s91)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5812, 6426])).
% 13.60/9.31 tff(6428,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6429,plain,
% 13.60/9.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s91) | (~node4(s91)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6430,plain,
% 13.60/9.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s91) | (~node4(s91))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 13.60/9.31 tff(6431,plain,
% 13.60/9.31 (m_main_v_request(s91)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6430, 21, 6427])).
% 13.60/9.31 tff(6432,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6433,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s91, s92)) | node2(s91, s92))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6434,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s91, s92)) | node2(s91, s92)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6433, 6432])).
% 13.60/9.31 tff(6435,plain,
% 13.60/9.31 (node2(s91, s92)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6434, 7, 6308])).
% 13.60/9.31 tff(6436,plain,
% 13.60/9.31 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6437,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6438,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 13.60/9.31 tff(6439,plain,
% 13.60/9.31 ((~m_main_v_state(s91, c_ready)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6438, 73, 6435])).
% 13.60/9.31 tff(6440,plain,
% 13.60/9.31 ($false),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6439, 6431, 6325, 6320])).
% 13.60/9.31 tff(6441,plain,(always3(s81) | xuntil6(s91)), inference(lemma,lemma(discharge,[]))).
% 13.60/9.31 tff(6442,plain,
% 13.60/9.31 (always3(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6441, 5664])).
% 13.60/9.31 tff(6443,plain,
% 13.60/9.31 (always3(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6219, 6442])).
% 13.60/9.31 tff(6444,plain,
% 13.60/9.31 (~m_main_v_state(s82, c_busy)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6405, 85, 6443])).
% 13.60/9.31 tff(6445,plain,
% 13.60/9.31 (always3(s91)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6300, 5664, 4844])).
% 13.60/9.31 tff(6446,plain,
% 13.60/9.31 (always3(s92)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6312, 6445])).
% 13.60/9.31 tff(6447,plain,
% 13.60/9.31 (~m_main_v_state(s92, c_busy)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6319, 85, 6446])).
% 13.60/9.31 tff(6448,plain,
% 13.60/9.31 (~m_main_v_state(s91, c_busy)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5867, 85, 6445])).
% 13.60/9.31 tff(6449,plain,
% 13.60/9.31 (m_main_v_state(s91, c_ready)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6324, 102, 6448])).
% 13.60/9.31 tff(6450,plain,
% 13.60/9.31 (~m_main_v_request(s91)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6439, 6449, 6447])).
% 13.60/9.31 tff(6451,plain,
% 13.60/9.31 (~node4(s91)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6430, 21, 6450])).
% 13.60/9.31 tff(6452,plain,
% 13.60/9.31 (~until5(s91)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5812, 6451])).
% 13.60/9.31 tff(6453,plain,
% 13.60/9.31 (~xuntil6(s90)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5817, 6452])).
% 13.60/9.31 tff(6454,plain,
% 13.60/9.31 (~until5(s89)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5914, 6453])).
% 13.60/9.31 tff(6455,plain,
% 13.60/9.31 (~xuntil6(s88)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5919, 6454])).
% 13.60/9.31 tff(6456,plain,
% 13.60/9.31 (~until5(s88)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5959, 6455])).
% 13.60/9.31 tff(6457,plain,
% 13.60/9.31 (~xuntil6(s87)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5964, 6456])).
% 13.60/9.31 tff(6458,plain,
% 13.60/9.31 (~until5(s86)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6055, 6457])).
% 13.60/9.31 tff(6459,plain,
% 13.60/9.31 (~xuntil6(s85)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6060, 6458])).
% 13.60/9.31 tff(6460,plain,
% 13.60/9.31 (~until5(s85)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6100, 6459])).
% 13.60/9.31 tff(6461,plain,
% 13.60/9.31 (~xuntil6(s84)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6105, 6460])).
% 13.60/9.31 tff(6462,plain,
% 13.60/9.31 (~until5(s84)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6145, 6461])).
% 13.60/9.31 tff(6463,plain,
% 13.60/9.31 (~xuntil6(s83)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6150, 6462])).
% 13.60/9.31 tff(6464,plain,
% 13.60/9.31 (~until5(s83)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6190, 6463])).
% 13.60/9.31 tff(6465,plain,
% 13.60/9.31 (~xuntil6(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6195, 6464])).
% 13.60/9.31 tff(6466,plain,
% 13.60/9.31 (~until5(s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6412, 6465])).
% 13.60/9.31 tff(6467,plain,
% 13.60/9.31 (~xuntil6(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6210, 6466])).
% 13.60/9.31 tff(6468,assumption,(until5(s81)), introduced(assumption)).
% 13.60/9.31 tff(6469,plain,
% 13.60/9.31 (xuntil6(s81) | node4(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6230, 294, 6468])).
% 13.60/9.31 tff(6470,plain,
% 13.60/9.31 (node4(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6469, 6467])).
% 13.60/9.31 tff(6471,plain,
% 13.60/9.31 (((~![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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6472,plain,
% 13.60/9.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s81) | (~node4(s81)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6473,plain,
% 13.60/9.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s81) | (~node4(s81))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6472, 6471])).
% 13.60/9.31 tff(6474,plain,
% 13.60/9.31 (m_main_v_request(s81)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6473, 21, 6470])).
% 13.60/9.31 tff(6475,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6476,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s81, s82)) | node2(s81, s82))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6477,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s81, s82)) | node2(s81, s82)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 13.60/9.31 tff(6478,plain,
% 13.60/9.31 (node2(s81, s82)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6477, 7, 6215])).
% 13.60/9.31 tff(6479,plain,
% 13.60/9.31 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6480,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6481,plain,
% 13.60/9.31 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 13.60/9.31 tff(6482,plain,
% 13.60/9.31 ((~m_main_v_state(s81, c_ready)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6481, 73, 6478])).
% 13.60/9.31 tff(6483,plain,
% 13.60/9.31 (~m_main_v_state(s81, c_ready)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6482, 6474, 6444])).
% 13.60/9.31 tff(6484,plain,
% 13.60/9.31 (~m_main_v_state(s81, c_busy)),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[5634, 85, 6442])).
% 13.60/9.31 tff(6485,plain,
% 13.60/9.31 (((~![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))),
% 13.60/9.31 inference(rewrite,[status(thm)],[])).
% 13.60/9.31 tff(6486,plain,
% 13.60/9.31 ((~![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))),
% 13.60/9.31 inference(quant_inst,[status(thm)],[])).
% 13.60/9.31 tff(6487,plain,
% 13.60/9.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready)),
% 13.60/9.31 inference(modus_ponens,[status(thm)],[6486, 6485])).
% 13.60/9.31 tff(6488,plain,
% 13.60/9.31 ($false),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6487, 102, 6484, 6483])).
% 13.60/9.31 tff(6489,plain,(xuntil6(s91) | (~until5(s81)) | (~until5(s66))), inference(lemma,lemma(discharge,[]))).
% 13.60/9.31 tff(6490,plain,
% 13.60/9.31 (xuntil6(s91) | (~until5(s66))),
% 13.60/9.31 inference(unit_resolution,[status(thm)],[6489, 5663])).
% 13.60/9.31 tff(6491,plain,
% 13.60/9.31 (xuntil6(s91)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6490, 4800])).
% 13.60/9.32 tff(6492,plain,
% 13.60/9.32 (((~![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))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6493,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6494,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6493, 6492])).
% 13.60/9.32 tff(6495,plain,
% 13.60/9.32 ((~xuntil6(s91)) | until5(s92)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6494, 6304, 312])).
% 13.60/9.32 tff(6496,plain,
% 13.60/9.32 (until5(s92)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6495, 6491])).
% 13.60/9.32 tff(6497,assumption,(node4(s92)), introduced(assumption)).
% 13.60/9.32 tff(6498,plain,
% 13.60/9.32 (((~![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)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6499,plain,
% 13.60/9.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s92) | (~node4(s92)))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6500,plain,
% 13.60/9.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s92) | (~node4(s92))),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6499, 6498])).
% 13.60/9.32 tff(6501,plain,
% 13.60/9.32 (m_main_v_request(s92)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6500, 21, 6497])).
% 13.60/9.32 tff(6502,plain,
% 13.60/9.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6503,plain,
% 13.60/9.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6504,plain,
% 13.60/9.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92))),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 13.60/9.32 tff(6505,plain,
% 13.60/9.32 (always3(s92)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6504, 36, 6497])).
% 13.60/9.32 tff(6506,plain,
% 13.60/9.32 (succ(s92, s93) <=> succ(s92, s93)),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6507,axiom,(succ(s92, s93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound93')).
% 13.60/9.32 tff(6508,plain,
% 13.60/9.32 (succ(s92, s93)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 13.60/9.32 tff(6509,plain,
% 13.60/9.32 (((~![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))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6510,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6511,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6510, 6509])).
% 13.60/9.32 tff(6512,plain,
% 13.60/9.32 (trans(s92, s93)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6511, 6508, 52])).
% 13.60/9.32 tff(6513,plain,
% 13.60/9.32 (((~![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))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6514,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s92, s93)) | (~always3(s92)) | always3(s93))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6515,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s92, s93)) | (~always3(s92)) | always3(s93)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 13.60/9.32 tff(6516,plain,
% 13.60/9.32 ((~always3(s92)) | always3(s93)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6515, 125, 6512])).
% 13.60/9.32 tff(6517,plain,
% 13.60/9.32 (always3(s93)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6516, 6505])).
% 13.60/9.32 tff(6518,plain,
% 13.60/9.32 (((~![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)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6519,plain,
% 13.60/9.32 (((~m_main_v_state(s93, c_busy)) | (~always3(s93))) <=> ((~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6520,plain,
% 13.60/9.32 (((~![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))))),
% 13.60/9.32 inference(monotonicity,[status(thm)],[6519])).
% 13.60/9.32 tff(6521,plain,
% 13.60/9.32 (((~![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)))),
% 13.60/9.32 inference(transitivity,[status(thm)],[6520, 6518])).
% 13.60/9.32 tff(6522,plain,
% 13.60/9.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6523,plain,
% 13.60/9.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy))),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 13.60/9.32 tff(6524,plain,
% 13.60/9.32 (~m_main_v_state(s93, c_busy)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6523, 85, 6517])).
% 13.60/9.32 tff(6525,plain,
% 13.60/9.32 (((~![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))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6526,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s92, s93)) | node2(s92, s93))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6527,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s92, s93)) | node2(s92, s93)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6526, 6525])).
% 13.60/9.32 tff(6528,plain,
% 13.60/9.32 (node2(s92, s93)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6527, 7, 6512])).
% 13.60/9.32 tff(6529,plain,
% 13.60/9.32 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6530,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6531,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 13.60/9.32 tff(6532,plain,
% 13.60/9.32 ((~m_main_v_state(s92, c_ready)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6531, 73, 6528])).
% 13.60/9.32 tff(6533,plain,
% 13.60/9.32 (~m_main_v_state(s92, c_ready)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6532, 6524, 6501])).
% 13.60/9.32 tff(6534,plain,
% 13.60/9.32 (~m_main_v_state(s92, c_busy)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6319, 85, 6505])).
% 13.60/9.32 tff(6535,plain,
% 13.60/9.32 (((~![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))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6536,plain,
% 13.60/9.32 ((~![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))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6537,plain,
% 13.60/9.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 13.60/9.32 tff(6538,plain,
% 13.60/9.32 ($false),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6537, 102, 6534, 6533])).
% 13.60/9.32 tff(6539,plain,(~node4(s92)), inference(lemma,lemma(discharge,[]))).
% 13.60/9.32 tff(6540,plain,
% 13.60/9.32 (((~![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)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6541,plain,
% 13.60/9.32 ((node4(s92) | (~until5(s92)) | xuntil6(s92)) <=> (xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6542,plain,
% 13.60/9.32 (((~![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))))),
% 13.60/9.32 inference(monotonicity,[status(thm)],[6541])).
% 13.60/9.32 tff(6543,plain,
% 13.60/9.32 (((~![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)))),
% 13.60/9.32 inference(transitivity,[status(thm)],[6542, 6540])).
% 13.60/9.32 tff(6544,plain,
% 13.60/9.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6545,plain,
% 13.60/9.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92))),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6544, 6543])).
% 13.60/9.32 tff(6546,plain,
% 13.60/9.32 (xuntil6(s92) | (~until5(s92))),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6545, 294, 6539])).
% 13.60/9.32 tff(6547,plain,
% 13.60/9.32 (xuntil6(s92)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6546, 6496])).
% 13.60/9.32 tff(6548,plain,
% 13.60/9.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6549,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6550,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6549, 6548])).
% 13.60/9.32 tff(6551,plain,
% 13.60/9.32 ((~xuntil6(s92)) | until5(s93)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6550, 6508, 312])).
% 13.60/9.32 tff(6552,plain,
% 13.60/9.32 (until5(s93)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6551, 6547])).
% 13.60/9.32 tff(6553,assumption,(node4(s93)), introduced(assumption)).
% 13.60/9.32 tff(6554,plain,
% 13.60/9.32 (((~![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)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6555,plain,
% 13.60/9.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s93) | (~node4(s93)))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6556,plain,
% 13.60/9.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s93) | (~node4(s93))),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 13.60/9.32 tff(6557,plain,
% 13.60/9.32 (m_main_v_request(s93)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6556, 21, 6553])).
% 13.60/9.32 tff(6558,plain,
% 13.60/9.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6559,plain,
% 13.60/9.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6560,plain,
% 13.60/9.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93))),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6559, 6558])).
% 13.60/9.32 tff(6561,plain,
% 13.60/9.32 (always3(s93)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6560, 36, 6553])).
% 13.60/9.32 tff(6562,plain,
% 13.60/9.32 (succ(s93, s94) <=> succ(s93, s94)),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6563,axiom,(succ(s93, s94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound94')).
% 13.60/9.32 tff(6564,plain,
% 13.60/9.32 (succ(s93, s94)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6563, 6562])).
% 13.60/9.32 tff(6565,plain,
% 13.60/9.32 (((~![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))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6566,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6567,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 13.60/9.32 tff(6568,plain,
% 13.60/9.32 (trans(s93, s94)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6567, 6564, 52])).
% 13.60/9.32 tff(6569,plain,
% 13.60/9.32 (((~![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))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6570,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s93, s94)) | (~always3(s93)) | always3(s94))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6571,plain,
% 13.60/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s93, s94)) | (~always3(s93)) | always3(s94)),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 13.60/9.32 tff(6572,plain,
% 13.60/9.32 ((~always3(s93)) | always3(s94)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6571, 125, 6568])).
% 13.60/9.32 tff(6573,plain,
% 13.60/9.32 (always3(s94)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6572, 6561])).
% 13.60/9.32 tff(6574,plain,
% 13.60/9.32 (((~![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)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6575,plain,
% 13.60/9.32 (((~m_main_v_state(s94, c_busy)) | (~always3(s94))) <=> ((~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 13.60/9.32 inference(rewrite,[status(thm)],[])).
% 13.60/9.32 tff(6576,plain,
% 13.60/9.32 (((~![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))))),
% 13.60/9.32 inference(monotonicity,[status(thm)],[6575])).
% 13.60/9.32 tff(6577,plain,
% 13.60/9.32 (((~![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)))),
% 13.60/9.32 inference(transitivity,[status(thm)],[6576, 6574])).
% 13.60/9.32 tff(6578,plain,
% 13.60/9.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))),
% 13.60/9.32 inference(quant_inst,[status(thm)],[])).
% 13.60/9.32 tff(6579,plain,
% 13.60/9.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy))),
% 13.60/9.32 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 13.60/9.32 tff(6580,plain,
% 13.60/9.32 (~m_main_v_state(s94, c_busy)),
% 13.60/9.32 inference(unit_resolution,[status(thm)],[6579, 85, 6573])).
% 13.60/9.32 tff(6581,plain,
% 13.60/9.32 (((~![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))),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6582,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s93, s94)) | node2(s93, s94))),
% 13.61/9.32 inference(quant_inst,[status(thm)],[])).
% 13.61/9.32 tff(6583,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s93, s94)) | node2(s93, s94)),
% 13.61/9.32 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 13.61/9.32 tff(6584,plain,
% 13.61/9.32 (node2(s93, s94)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6583, 7, 6568])).
% 13.61/9.32 tff(6585,plain,
% 13.61/9.32 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6586,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.32 inference(quant_inst,[status(thm)],[])).
% 13.61/9.32 tff(6587,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.61/9.32 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 13.61/9.32 tff(6588,plain,
% 13.61/9.32 ((~m_main_v_state(s93, c_ready)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6587, 73, 6584])).
% 13.61/9.32 tff(6589,plain,
% 13.61/9.32 (~m_main_v_state(s93, c_ready)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6588, 6580, 6557])).
% 13.61/9.32 tff(6590,plain,
% 13.61/9.32 (~m_main_v_state(s93, c_busy)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6523, 85, 6561])).
% 13.61/9.32 tff(6591,plain,
% 13.61/9.32 (((~![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))),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6592,plain,
% 13.61/9.32 ((~![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))),
% 13.61/9.32 inference(quant_inst,[status(thm)],[])).
% 13.61/9.32 tff(6593,plain,
% 13.61/9.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready)),
% 13.61/9.32 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 13.61/9.32 tff(6594,plain,
% 13.61/9.32 ($false),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6593, 102, 6590, 6589])).
% 13.61/9.32 tff(6595,plain,(~node4(s93)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.32 tff(6596,plain,
% 13.61/9.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s93) | node4(s93) | (~until5(s93)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6597,plain,
% 13.61/9.32 ((node4(s93) | (~until5(s93)) | xuntil6(s93)) <=> (xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6598,plain,
% 13.61/9.32 (((~![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))))),
% 13.61/9.32 inference(monotonicity,[status(thm)],[6597])).
% 13.61/9.32 tff(6599,plain,
% 13.61/9.32 (((~![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)))),
% 13.61/9.32 inference(transitivity,[status(thm)],[6598, 6596])).
% 13.61/9.32 tff(6600,plain,
% 13.61/9.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s93) | (~until5(s93)) | xuntil6(s93))),
% 13.61/9.32 inference(quant_inst,[status(thm)],[])).
% 13.61/9.32 tff(6601,plain,
% 13.61/9.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s93) | node4(s93) | (~until5(s93))),
% 13.61/9.32 inference(modus_ponens,[status(thm)],[6600, 6599])).
% 13.61/9.32 tff(6602,plain,
% 13.61/9.32 (xuntil6(s93) | (~until5(s93))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6601, 294, 6595])).
% 13.61/9.32 tff(6603,plain,
% 13.61/9.32 (xuntil6(s93)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6602, 6552])).
% 13.61/9.32 tff(6604,plain,
% 13.61/9.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94))),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6605,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94))),
% 13.61/9.32 inference(quant_inst,[status(thm)],[])).
% 13.61/9.32 tff(6606,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94)),
% 13.61/9.32 inference(modus_ponens,[status(thm)],[6605, 6604])).
% 13.61/9.32 tff(6607,plain,
% 13.61/9.32 ((~xuntil6(s93)) | until5(s94)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6606, 6564, 312])).
% 13.61/9.32 tff(6608,plain,
% 13.61/9.32 (until5(s94)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6607, 6603])).
% 13.61/9.32 tff(6609,assumption,(~xuntil6(s103)), introduced(assumption)).
% 13.61/9.32 tff(6610,assumption,(until5(s95)), introduced(assumption)).
% 13.61/9.32 tff(6611,assumption,(~always3(s95)), introduced(assumption)).
% 13.61/9.32 tff(6612,plain,
% 13.61/9.32 (succ(s94, s95) <=> succ(s94, s95)),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6613,axiom,(succ(s94, s95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound95')).
% 13.61/9.32 tff(6614,plain,
% 13.61/9.32 (succ(s94, s95)),
% 13.61/9.32 inference(modus_ponens,[status(thm)],[6613, 6612])).
% 13.61/9.32 tff(6615,plain,
% 13.61/9.32 (((~![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))),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6616,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 13.61/9.32 inference(quant_inst,[status(thm)],[])).
% 13.61/9.32 tff(6617,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 13.61/9.32 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 13.61/9.32 tff(6618,plain,
% 13.61/9.32 (trans(s94, s95)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6617, 6614, 52])).
% 13.61/9.32 tff(6619,plain,
% 13.61/9.32 (((~![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))),
% 13.61/9.32 inference(rewrite,[status(thm)],[])).
% 13.61/9.32 tff(6620,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s94, s95)) | (~always3(s94)) | always3(s95))),
% 13.61/9.32 inference(quant_inst,[status(thm)],[])).
% 13.61/9.32 tff(6621,plain,
% 13.61/9.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s94, s95)) | (~always3(s94)) | always3(s95)),
% 13.61/9.32 inference(modus_ponens,[status(thm)],[6620, 6619])).
% 13.61/9.32 tff(6622,plain,
% 13.61/9.32 ((~always3(s94)) | always3(s95)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6621, 125, 6618])).
% 13.61/9.32 tff(6623,plain,
% 13.61/9.32 (~always3(s94)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6622, 6611])).
% 13.61/9.32 tff(6624,plain,
% 13.61/9.32 (~always3(s93)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6572, 6623])).
% 13.61/9.32 tff(6625,plain,
% 13.61/9.32 (~always3(s92)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6516, 6624])).
% 13.61/9.32 tff(6626,plain,
% 13.61/9.32 (~always3(s91)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6312, 6625])).
% 13.61/9.32 tff(6627,plain,
% 13.61/9.32 (~always3(s90)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5700, 6626])).
% 13.61/9.32 tff(6628,plain,
% 13.61/9.32 (~always3(s89)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5712, 6627])).
% 13.61/9.32 tff(6629,plain,
% 13.61/9.32 (~always3(s88)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5724, 6628])).
% 13.61/9.32 tff(6630,plain,
% 13.61/9.32 (~always3(s87)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5736, 6629])).
% 13.61/9.32 tff(6631,plain,
% 13.61/9.32 (~always3(s86)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5748, 6630])).
% 13.61/9.32 tff(6632,plain,
% 13.61/9.32 (~always3(s85)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5760, 6631])).
% 13.61/9.32 tff(6633,plain,
% 13.61/9.32 (~always3(s84)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5772, 6632])).
% 13.61/9.32 tff(6634,plain,
% 13.61/9.32 (~always3(s83)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5784, 6633])).
% 13.61/9.32 tff(6635,plain,
% 13.61/9.32 (~always3(s82)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5796, 6634])).
% 13.61/9.32 tff(6636,plain,
% 13.61/9.32 (~always3(s81)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6219, 6635])).
% 13.61/9.32 tff(6637,plain,
% 13.61/9.32 (~always3(s80)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5627, 6636])).
% 13.61/9.32 tff(6638,plain,
% 13.61/9.32 (~always3(s79)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5571, 6637])).
% 13.61/9.32 tff(6639,plain,
% 13.61/9.32 (~always3(s78)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5515, 6638])).
% 13.61/9.32 tff(6640,plain,
% 13.61/9.32 (~always3(s77)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5459, 6639])).
% 13.61/9.32 tff(6641,plain,
% 13.61/9.32 (~always3(s76)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5403, 6640])).
% 13.61/9.32 tff(6642,plain,
% 13.61/9.32 (~always3(s75)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5347, 6641])).
% 13.61/9.32 tff(6643,plain,
% 13.61/9.32 (~always3(s74)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5291, 6642])).
% 13.61/9.32 tff(6644,plain,
% 13.61/9.32 (~always3(s73)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5235, 6643])).
% 13.61/9.32 tff(6645,plain,
% 13.61/9.32 (~always3(s72)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5179, 6644])).
% 13.61/9.32 tff(6646,plain,
% 13.61/9.32 (~always3(s71)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5123, 6645])).
% 13.61/9.32 tff(6647,plain,
% 13.61/9.32 (~always3(s70)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5067, 6646])).
% 13.61/9.32 tff(6648,plain,
% 13.61/9.32 (~always3(s69)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5011, 6647])).
% 13.61/9.32 tff(6649,plain,
% 13.61/9.32 (~always3(s68)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4955, 6648])).
% 13.61/9.32 tff(6650,plain,
% 13.61/9.32 (~always3(s67)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4899, 6649])).
% 13.61/9.32 tff(6651,plain,
% 13.61/9.32 (~always3(s66)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4835, 6650])).
% 13.61/9.32 tff(6652,plain,
% 13.61/9.32 (~always3(s65)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[129, 6651])).
% 13.61/9.32 tff(6653,plain,
% 13.61/9.32 (~always3(s64)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4721, 6652])).
% 13.61/9.32 tff(6654,plain,
% 13.61/9.32 (~always3(s63)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4528, 6653])).
% 13.61/9.32 tff(6655,plain,
% 13.61/9.32 (~always3(s62)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4065, 6654])).
% 13.61/9.32 tff(6656,plain,
% 13.61/9.32 (~always3(s61)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3929, 6655])).
% 13.61/9.32 tff(6657,plain,
% 13.61/9.32 (~always3(s60)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3969, 6656])).
% 13.61/9.32 tff(6658,plain,
% 13.61/9.32 (~always3(s59)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3985, 6657])).
% 13.61/9.32 tff(6659,plain,
% 13.61/9.32 (~always3(s58)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3735, 6658])).
% 13.61/9.32 tff(6660,plain,
% 13.61/9.32 (~always3(s57)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3747, 6659])).
% 13.61/9.32 tff(6661,plain,
% 13.61/9.32 (~always3(s56)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3759, 6660])).
% 13.61/9.32 tff(6662,plain,
% 13.61/9.32 (~always3(s55)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3686, 6661])).
% 13.61/9.32 tff(6663,plain,
% 13.61/9.32 (~always3(s54)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3630, 6662])).
% 13.61/9.32 tff(6664,plain,
% 13.61/9.32 (~always3(s53)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3530, 6663])).
% 13.61/9.32 tff(6665,plain,
% 13.61/9.32 (~always3(s52)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3474, 6664])).
% 13.61/9.32 tff(6666,plain,
% 13.61/9.32 (~always3(s51)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3232, 6665])).
% 13.61/9.32 tff(6667,plain,
% 13.61/9.32 (~always3(s50)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3048, 6666])).
% 13.61/9.32 tff(6668,plain,
% 13.61/9.32 (~always3(s49)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3093, 6667])).
% 13.61/9.32 tff(6669,plain,
% 13.61/9.32 (~always3(s48)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3122, 6668])).
% 13.61/9.32 tff(6670,plain,
% 13.61/9.32 (~always3(s47)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3151, 6669])).
% 13.61/9.32 tff(6671,plain,
% 13.61/9.32 (~always3(s46)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3175, 6670])).
% 13.61/9.32 tff(6672,plain,
% 13.61/9.32 (~always3(s45)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3000, 6671])).
% 13.61/9.32 tff(6673,plain,
% 13.61/9.32 (~always3(s44)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2944, 6672])).
% 13.61/9.32 tff(6674,plain,
% 13.61/9.32 (~always3(s43)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2888, 6673])).
% 13.61/9.32 tff(6675,plain,
% 13.61/9.32 (~always3(s42)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2832, 6674])).
% 13.61/9.32 tff(6676,plain,
% 13.61/9.32 (~always3(s41)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2773, 6675])).
% 13.61/9.32 tff(6677,plain,
% 13.61/9.32 (~always3(s40)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2699, 6676])).
% 13.61/9.32 tff(6678,plain,
% 13.61/9.32 (~always3(s39)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2661, 6677])).
% 13.61/9.32 tff(6679,plain,
% 13.61/9.32 (~node4(s39)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2665, 36, 6678])).
% 13.61/9.32 tff(6680,plain,
% 13.61/9.32 (~always3(s38)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2599, 6678])).
% 13.61/9.32 tff(6681,plain,
% 13.61/9.32 (~node4(s38)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2587, 36, 6680])).
% 13.61/9.32 tff(6682,plain,
% 13.61/9.32 (~always3(s37)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1912, 6680])).
% 13.61/9.32 tff(6683,plain,
% 13.61/9.32 (~always3(s36)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1333, 6682])).
% 13.61/9.32 tff(6684,plain,
% 13.61/9.32 (~always3(s35)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1378, 6683])).
% 13.61/9.32 tff(6685,plain,
% 13.61/9.32 (~always3(s34)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1407, 6684])).
% 13.61/9.32 tff(6686,plain,
% 13.61/9.32 (~always3(s33)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1436, 6685])).
% 13.61/9.32 tff(6687,plain,
% 13.61/9.32 (~always3(s32)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[200, 6686])).
% 13.61/9.32 tff(6688,plain,
% 13.61/9.32 (~always3(s31)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1480, 6687])).
% 13.61/9.32 tff(6689,plain,
% 13.61/9.32 (~always3(s30)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[249, 6688])).
% 13.61/9.32 tff(6690,plain,
% 13.61/9.32 (~always3(s29)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1524, 6689])).
% 13.61/9.32 tff(6691,plain,
% 13.61/9.32 (~always3(s28)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[151, 6690])).
% 13.61/9.32 tff(6692,plain,
% 13.61/9.32 (~always3(s27)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1568, 6691])).
% 13.61/9.32 tff(6693,plain,
% 13.61/9.32 (~always3(s26)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1592, 6692])).
% 13.61/9.32 tff(6694,plain,
% 13.61/9.32 (~always3(s25)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1604, 6693])).
% 13.61/9.32 tff(6695,plain,
% 13.61/9.32 (~always3(s24)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1616, 6694])).
% 13.61/9.32 tff(6696,plain,
% 13.61/9.32 (~always3(s23)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1628, 6695])).
% 13.61/9.32 tff(6697,plain,
% 13.61/9.32 (~always3(s22)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1640, 6696])).
% 13.61/9.32 tff(6698,plain,
% 13.61/9.32 (~always3(s21)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1652, 6697])).
% 13.61/9.32 tff(6699,plain,
% 13.61/9.32 (~always3(s20)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1664, 6698])).
% 13.61/9.32 tff(6700,plain,
% 13.61/9.32 (~always3(s19)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1676, 6699])).
% 13.61/9.32 tff(6701,plain,
% 13.61/9.32 (~always3(s18)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1688, 6700])).
% 13.61/9.32 tff(6702,plain,
% 13.61/9.32 (~always3(s17)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1700, 6701])).
% 13.61/9.32 tff(6703,plain,
% 13.61/9.32 (~always3(s16)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1716, 6702])).
% 13.61/9.32 tff(6704,plain,
% 13.61/9.32 (~always3(s15)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1259, 6703])).
% 13.61/9.32 tff(6705,plain,
% 13.61/9.32 (xuntil6(s15)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1240, 6704])).
% 13.61/9.32 tff(6706,plain,
% 13.61/9.32 (until5(s16)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1318, 6705])).
% 13.61/9.32 tff(6707,plain,
% 13.61/9.32 (xuntil6(s37)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[1900, 6706, 6682])).
% 13.61/9.32 tff(6708,plain,
% 13.61/9.32 (until5(s38)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2578, 6707])).
% 13.61/9.32 tff(6709,plain,
% 13.61/9.32 (xuntil6(s38) | node4(s38)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2628, 294, 6708])).
% 13.61/9.32 tff(6710,plain,
% 13.61/9.32 (xuntil6(s38)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6709, 6681])).
% 13.61/9.32 tff(6711,plain,
% 13.61/9.32 (until5(s39)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2634, 6710])).
% 13.61/9.32 tff(6712,plain,
% 13.61/9.32 (xuntil6(s39)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2672, 294, 6711, 6679])).
% 13.61/9.32 tff(6713,plain,
% 13.61/9.32 (until5(s40)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2678, 6712])).
% 13.61/9.32 tff(6714,plain,
% 13.61/9.32 (~node4(s40)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2641, 36, 6677])).
% 13.61/9.32 tff(6715,plain,
% 13.61/9.32 (xuntil6(s40) | (~until5(s40))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2648, 294, 6714])).
% 13.61/9.32 tff(6716,plain,
% 13.61/9.32 (xuntil6(s40)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6715, 6713])).
% 13.61/9.32 tff(6717,plain,
% 13.61/9.32 (until5(s41)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2752, 6716])).
% 13.61/9.32 tff(6718,plain,
% 13.61/9.32 (~node4(s41)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2761, 36, 6676])).
% 13.61/9.32 tff(6719,plain,
% 13.61/9.32 (xuntil6(s41) | (~until5(s41))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2802, 294, 6718])).
% 13.61/9.32 tff(6720,plain,
% 13.61/9.32 (xuntil6(s41)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6719, 6717])).
% 13.61/9.32 tff(6721,plain,
% 13.61/9.32 (until5(s42)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2808, 6720])).
% 13.61/9.32 tff(6722,plain,
% 13.61/9.32 (~node4(s42)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2820, 36, 6675])).
% 13.61/9.32 tff(6723,plain,
% 13.61/9.32 (xuntil6(s42) | (~until5(s42))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2861, 294, 6722])).
% 13.61/9.32 tff(6724,plain,
% 13.61/9.32 (xuntil6(s42)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6723, 6721])).
% 13.61/9.32 tff(6725,plain,
% 13.61/9.32 (until5(s43)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2867, 6724])).
% 13.61/9.32 tff(6726,plain,
% 13.61/9.32 (~node4(s43)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2876, 36, 6674])).
% 13.61/9.32 tff(6727,plain,
% 13.61/9.32 (xuntil6(s43) | (~until5(s43))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2917, 294, 6726])).
% 13.61/9.32 tff(6728,plain,
% 13.61/9.32 (xuntil6(s43)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6727, 6725])).
% 13.61/9.32 tff(6729,plain,
% 13.61/9.32 (until5(s44)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2923, 6728])).
% 13.61/9.32 tff(6730,plain,
% 13.61/9.32 (~node4(s44)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2932, 36, 6673])).
% 13.61/9.32 tff(6731,plain,
% 13.61/9.32 (xuntil6(s44) | (~until5(s44))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2973, 294, 6730])).
% 13.61/9.32 tff(6732,plain,
% 13.61/9.32 (xuntil6(s44)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6731, 6729])).
% 13.61/9.32 tff(6733,plain,
% 13.61/9.32 (until5(s45)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2979, 6732])).
% 13.61/9.32 tff(6734,plain,
% 13.61/9.32 (~node4(s45)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[2988, 36, 6672])).
% 13.61/9.32 tff(6735,plain,
% 13.61/9.32 (xuntil6(s45) | (~until5(s45))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3029, 294, 6734])).
% 13.61/9.32 tff(6736,plain,
% 13.61/9.32 (xuntil6(s45)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6735, 6733])).
% 13.61/9.32 tff(6737,plain,
% 13.61/9.32 (until5(s46)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3035, 6736])).
% 13.61/9.32 tff(6738,plain,
% 13.61/9.32 (~node4(s46)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3198, 36, 6671])).
% 13.61/9.32 tff(6739,plain,
% 13.61/9.32 (xuntil6(s46) | (~until5(s46))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3205, 294, 6738])).
% 13.61/9.32 tff(6740,plain,
% 13.61/9.32 (xuntil6(s46)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6739, 6737])).
% 13.61/9.32 tff(6741,plain,
% 13.61/9.32 (until5(s47)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3211, 6740])).
% 13.61/9.32 tff(6742,plain,
% 13.61/9.32 (~node4(s47)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3155, 36, 6670])).
% 13.61/9.32 tff(6743,plain,
% 13.61/9.32 (xuntil6(s47) | (~until5(s47))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3162, 294, 6742])).
% 13.61/9.32 tff(6744,plain,
% 13.61/9.32 (xuntil6(s47)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6743, 6741])).
% 13.61/9.32 tff(6745,plain,
% 13.61/9.32 (until5(s48)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3142, 6744])).
% 13.61/9.32 tff(6746,plain,
% 13.61/9.32 (~node4(s48)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3126, 36, 6669])).
% 13.61/9.32 tff(6747,plain,
% 13.61/9.32 (xuntil6(s48) | (~until5(s48))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3133, 294, 6746])).
% 13.61/9.32 tff(6748,plain,
% 13.61/9.32 (xuntil6(s48)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6747, 6745])).
% 13.61/9.32 tff(6749,plain,
% 13.61/9.32 (until5(s49)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3113, 6748])).
% 13.61/9.32 tff(6750,plain,
% 13.61/9.32 (~node4(s49)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3097, 36, 6668])).
% 13.61/9.32 tff(6751,plain,
% 13.61/9.32 (xuntil6(s49) | (~until5(s49))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3104, 294, 6750])).
% 13.61/9.32 tff(6752,plain,
% 13.61/9.32 (xuntil6(s49)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6751, 6749])).
% 13.61/9.32 tff(6753,plain,
% 13.61/9.32 (until5(s50)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3084, 6752])).
% 13.61/9.32 tff(6754,plain,
% 13.61/9.32 (~node4(s50)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3052, 36, 6667])).
% 13.61/9.32 tff(6755,plain,
% 13.61/9.32 (xuntil6(s50) | (~until5(s50))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3076, 294, 6754])).
% 13.61/9.32 tff(6756,plain,
% 13.61/9.32 (xuntil6(s50)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6755, 6753])).
% 13.61/9.32 tff(6757,plain,
% 13.61/9.32 (until5(s51)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3069, 6756])).
% 13.61/9.32 tff(6758,plain,
% 13.61/9.32 (~node4(s51)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3056, 36, 6666])).
% 13.61/9.32 tff(6759,plain,
% 13.61/9.32 (xuntil6(s51) | (~until5(s51))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3063, 294, 6758])).
% 13.61/9.32 tff(6760,plain,
% 13.61/9.32 (xuntil6(s51)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6759, 6757])).
% 13.61/9.32 tff(6761,plain,
% 13.61/9.32 (until5(s52)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3453, 6760])).
% 13.61/9.32 tff(6762,plain,
% 13.61/9.32 (~node4(s52)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3462, 36, 6665])).
% 13.61/9.32 tff(6763,plain,
% 13.61/9.32 (xuntil6(s52) | (~until5(s52))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3503, 294, 6762])).
% 13.61/9.32 tff(6764,plain,
% 13.61/9.32 (xuntil6(s52)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6763, 6761])).
% 13.61/9.32 tff(6765,plain,
% 13.61/9.32 (until5(s53)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3509, 6764])).
% 13.61/9.32 tff(6766,plain,
% 13.61/9.32 (~node4(s53)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3518, 36, 6664])).
% 13.61/9.32 tff(6767,plain,
% 13.61/9.32 (xuntil6(s53) | (~until5(s53))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3603, 294, 6766])).
% 13.61/9.32 tff(6768,plain,
% 13.61/9.32 (xuntil6(s53)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6767, 6765])).
% 13.61/9.32 tff(6769,plain,
% 13.61/9.32 (until5(s54)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3609, 6768])).
% 13.61/9.32 tff(6770,plain,
% 13.61/9.32 (~node4(s54)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3618, 36, 6663])).
% 13.61/9.32 tff(6771,plain,
% 13.61/9.32 (xuntil6(s54) | (~until5(s54))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3659, 294, 6770])).
% 13.61/9.32 tff(6772,plain,
% 13.61/9.32 (xuntil6(s54)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6771, 6769])).
% 13.61/9.32 tff(6773,plain,
% 13.61/9.32 (until5(s55)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3665, 6772])).
% 13.61/9.32 tff(6774,plain,
% 13.61/9.32 (~node4(s55)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3674, 36, 6662])).
% 13.61/9.32 tff(6775,plain,
% 13.61/9.32 (xuntil6(s55) | (~until5(s55))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3715, 294, 6774])).
% 13.61/9.32 tff(6776,plain,
% 13.61/9.32 (xuntil6(s55)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6775, 6773])).
% 13.61/9.32 tff(6777,plain,
% 13.61/9.32 (until5(s56)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3721, 6776])).
% 13.61/9.32 tff(6778,plain,
% 13.61/9.32 (~node4(s56)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3835, 36, 6661])).
% 13.61/9.32 tff(6779,plain,
% 13.61/9.32 (xuntil6(s56) | (~until5(s56))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3842, 294, 6778])).
% 13.61/9.32 tff(6780,plain,
% 13.61/9.32 (xuntil6(s56)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6779, 6777])).
% 13.61/9.32 tff(6781,plain,
% 13.61/9.32 (until5(s57)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3848, 6780])).
% 13.61/9.32 tff(6782,plain,
% 13.61/9.32 (~node4(s57)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3852, 36, 6660])).
% 13.61/9.32 tff(6783,plain,
% 13.61/9.32 (xuntil6(s57) | (~until5(s57))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3859, 294, 6782])).
% 13.61/9.32 tff(6784,plain,
% 13.61/9.32 (xuntil6(s57)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6783, 6781])).
% 13.61/9.32 tff(6785,plain,
% 13.61/9.32 (until5(s58)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3865, 6784])).
% 13.61/9.32 tff(6786,plain,
% 13.61/9.32 (~node4(s58)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3874, 36, 6659])).
% 13.61/9.32 tff(6787,plain,
% 13.61/9.32 (xuntil6(s58) | (~until5(s58))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3910, 294, 6786])).
% 13.61/9.32 tff(6788,plain,
% 13.61/9.32 (xuntil6(s58)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6787, 6785])).
% 13.61/9.32 tff(6789,plain,
% 13.61/9.32 (until5(s59)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3916, 6788])).
% 13.61/9.32 tff(6790,plain,
% 13.61/9.32 (~node4(s59)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3989, 36, 6658])).
% 13.61/9.32 tff(6791,plain,
% 13.61/9.32 (xuntil6(s59) | (~until5(s59))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3997, 294, 6790])).
% 13.61/9.32 tff(6792,plain,
% 13.61/9.32 (xuntil6(s59)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6791, 6789])).
% 13.61/9.32 tff(6793,plain,
% 13.61/9.32 (until5(s60)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4003, 6792])).
% 13.61/9.32 tff(6794,plain,
% 13.61/9.32 (~node4(s60)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3973, 36, 6657])).
% 13.61/9.32 tff(6795,plain,
% 13.61/9.32 (xuntil6(s60) | (~until5(s60))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4010, 294, 6794])).
% 13.61/9.32 tff(6796,plain,
% 13.61/9.32 (xuntil6(s60)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6795, 6793])).
% 13.61/9.32 tff(6797,plain,
% 13.61/9.32 (until5(s61)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4015, 6796])).
% 13.61/9.32 tff(6798,plain,
% 13.61/9.32 (~node4(s61)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3933, 36, 6656])).
% 13.61/9.32 tff(6799,plain,
% 13.61/9.32 (xuntil6(s61) | (~until5(s61))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3957, 294, 6798])).
% 13.61/9.32 tff(6800,plain,
% 13.61/9.32 (xuntil6(s61)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6799, 6797])).
% 13.61/9.32 tff(6801,plain,
% 13.61/9.32 (until5(s62)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3950, 6800])).
% 13.61/9.32 tff(6802,plain,
% 13.61/9.32 (~node4(s62)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3937, 36, 6655])).
% 13.61/9.32 tff(6803,plain,
% 13.61/9.32 (xuntil6(s62) | (~until5(s62))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[3944, 294, 6802])).
% 13.61/9.32 tff(6804,plain,
% 13.61/9.32 (xuntil6(s62)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6803, 6801])).
% 13.61/9.32 tff(6805,plain,
% 13.61/9.32 (until5(s63)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4514, 6804])).
% 13.61/9.32 tff(6806,plain,
% 13.61/9.32 (~node4(s63)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4532, 36, 6654])).
% 13.61/9.32 tff(6807,plain,
% 13.61/9.32 (xuntil6(s63) | (~until5(s63))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4556, 294, 6806])).
% 13.61/9.32 tff(6808,plain,
% 13.61/9.32 (xuntil6(s63)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6807, 6805])).
% 13.61/9.32 tff(6809,plain,
% 13.61/9.32 (until5(s64)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4549, 6808])).
% 13.61/9.32 tff(6810,plain,
% 13.61/9.32 (~node4(s64)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4536, 36, 6653])).
% 13.61/9.32 tff(6811,plain,
% 13.61/9.32 (xuntil6(s64) | (~until5(s64))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4543, 294, 6810])).
% 13.61/9.32 tff(6812,plain,
% 13.61/9.32 (xuntil6(s64)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6811, 6809])).
% 13.61/9.32 tff(6813,plain,
% 13.61/9.32 (until5(s65)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4786, 6812])).
% 13.61/9.32 tff(6814,plain,
% 13.61/9.32 (~node4(s65)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[39, 36, 6652])).
% 13.61/9.32 tff(6815,plain,
% 13.61/9.32 (xuntil6(s65) | (~until5(s65))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4793, 294, 6814])).
% 13.61/9.32 tff(6816,plain,
% 13.61/9.32 (xuntil6(s65)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6815, 6813])).
% 13.61/9.32 tff(6817,plain,
% 13.61/9.32 (until5(s66)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4799, 6816])).
% 13.61/9.32 tff(6818,plain,
% 13.61/9.32 (~node4(s66)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4805, 36, 6651])).
% 13.61/9.32 tff(6819,plain,
% 13.61/9.32 (xuntil6(s66) | (~until5(s66))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4812, 294, 6818])).
% 13.61/9.32 tff(6820,plain,
% 13.61/9.32 (xuntil6(s66)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6819, 6817])).
% 13.61/9.32 tff(6821,plain,
% 13.61/9.32 (until5(s67)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4878, 6820])).
% 13.61/9.32 tff(6822,plain,
% 13.61/9.32 (~node4(s67)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4887, 36, 6650])).
% 13.61/9.32 tff(6823,plain,
% 13.61/9.32 (xuntil6(s67) | (~until5(s67))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4928, 294, 6822])).
% 13.61/9.32 tff(6824,plain,
% 13.61/9.32 (xuntil6(s67)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6823, 6821])).
% 13.61/9.32 tff(6825,plain,
% 13.61/9.32 (until5(s68)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4934, 6824])).
% 13.61/9.32 tff(6826,plain,
% 13.61/9.32 (~node4(s68)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4943, 36, 6649])).
% 13.61/9.32 tff(6827,plain,
% 13.61/9.32 (xuntil6(s68) | (~until5(s68))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4984, 294, 6826])).
% 13.61/9.32 tff(6828,plain,
% 13.61/9.32 (xuntil6(s68)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6827, 6825])).
% 13.61/9.32 tff(6829,plain,
% 13.61/9.32 (until5(s69)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4990, 6828])).
% 13.61/9.32 tff(6830,plain,
% 13.61/9.32 (~node4(s69)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[4999, 36, 6648])).
% 13.61/9.32 tff(6831,plain,
% 13.61/9.32 (xuntil6(s69) | (~until5(s69))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5040, 294, 6830])).
% 13.61/9.32 tff(6832,plain,
% 13.61/9.32 (xuntil6(s69)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6831, 6829])).
% 13.61/9.32 tff(6833,plain,
% 13.61/9.32 (until5(s70)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5046, 6832])).
% 13.61/9.32 tff(6834,plain,
% 13.61/9.32 (~node4(s70)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5055, 36, 6647])).
% 13.61/9.32 tff(6835,plain,
% 13.61/9.32 (xuntil6(s70) | (~until5(s70))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5096, 294, 6834])).
% 13.61/9.32 tff(6836,plain,
% 13.61/9.32 (xuntil6(s70)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6835, 6833])).
% 13.61/9.32 tff(6837,plain,
% 13.61/9.32 (until5(s71)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5102, 6836])).
% 13.61/9.32 tff(6838,plain,
% 13.61/9.32 (~node4(s71)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5111, 36, 6646])).
% 13.61/9.32 tff(6839,plain,
% 13.61/9.32 (xuntil6(s71) | (~until5(s71))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5152, 294, 6838])).
% 13.61/9.32 tff(6840,plain,
% 13.61/9.32 (xuntil6(s71)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6839, 6837])).
% 13.61/9.32 tff(6841,plain,
% 13.61/9.32 (until5(s72)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5158, 6840])).
% 13.61/9.32 tff(6842,plain,
% 13.61/9.32 (~node4(s72)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5167, 36, 6645])).
% 13.61/9.32 tff(6843,plain,
% 13.61/9.32 (xuntil6(s72) | (~until5(s72))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5208, 294, 6842])).
% 13.61/9.32 tff(6844,plain,
% 13.61/9.32 (xuntil6(s72)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6843, 6841])).
% 13.61/9.32 tff(6845,plain,
% 13.61/9.32 (until5(s73)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5214, 6844])).
% 13.61/9.32 tff(6846,plain,
% 13.61/9.32 (~node4(s73)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5223, 36, 6644])).
% 13.61/9.32 tff(6847,plain,
% 13.61/9.32 (xuntil6(s73) | (~until5(s73))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5264, 294, 6846])).
% 13.61/9.32 tff(6848,plain,
% 13.61/9.32 (xuntil6(s73)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6847, 6845])).
% 13.61/9.32 tff(6849,plain,
% 13.61/9.32 (until5(s74)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5270, 6848])).
% 13.61/9.32 tff(6850,plain,
% 13.61/9.32 (~node4(s74)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5279, 36, 6643])).
% 13.61/9.32 tff(6851,plain,
% 13.61/9.32 (xuntil6(s74) | (~until5(s74))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5320, 294, 6850])).
% 13.61/9.32 tff(6852,plain,
% 13.61/9.32 (xuntil6(s74)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6851, 6849])).
% 13.61/9.32 tff(6853,plain,
% 13.61/9.32 (until5(s75)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5326, 6852])).
% 13.61/9.32 tff(6854,plain,
% 13.61/9.32 (~node4(s75)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5335, 36, 6642])).
% 13.61/9.32 tff(6855,plain,
% 13.61/9.32 (xuntil6(s75) | (~until5(s75))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5376, 294, 6854])).
% 13.61/9.32 tff(6856,plain,
% 13.61/9.32 (xuntil6(s75)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6855, 6853])).
% 13.61/9.32 tff(6857,plain,
% 13.61/9.32 (until5(s76)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5382, 6856])).
% 13.61/9.32 tff(6858,plain,
% 13.61/9.32 (~node4(s76)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5391, 36, 6641])).
% 13.61/9.32 tff(6859,plain,
% 13.61/9.32 (xuntil6(s76) | (~until5(s76))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5432, 294, 6858])).
% 13.61/9.32 tff(6860,plain,
% 13.61/9.32 (xuntil6(s76)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6859, 6857])).
% 13.61/9.32 tff(6861,plain,
% 13.61/9.32 (until5(s77)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5438, 6860])).
% 13.61/9.32 tff(6862,plain,
% 13.61/9.32 (~node4(s77)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5447, 36, 6640])).
% 13.61/9.32 tff(6863,plain,
% 13.61/9.32 (xuntil6(s77) | (~until5(s77))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5488, 294, 6862])).
% 13.61/9.32 tff(6864,plain,
% 13.61/9.32 (xuntil6(s77)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6863, 6861])).
% 13.61/9.32 tff(6865,plain,
% 13.61/9.32 (until5(s78)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5494, 6864])).
% 13.61/9.32 tff(6866,plain,
% 13.61/9.32 (~node4(s78)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5503, 36, 6639])).
% 13.61/9.32 tff(6867,plain,
% 13.61/9.32 (xuntil6(s78) | (~until5(s78))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5544, 294, 6866])).
% 13.61/9.32 tff(6868,plain,
% 13.61/9.32 (xuntil6(s78)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6867, 6865])).
% 13.61/9.32 tff(6869,plain,
% 13.61/9.32 (until5(s79)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5550, 6868])).
% 13.61/9.32 tff(6870,plain,
% 13.61/9.32 (~node4(s79)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5559, 36, 6638])).
% 13.61/9.32 tff(6871,plain,
% 13.61/9.32 (xuntil6(s79) | (~until5(s79))),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5600, 294, 6870])).
% 13.61/9.32 tff(6872,plain,
% 13.61/9.32 (xuntil6(s79)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[6871, 6869])).
% 13.61/9.32 tff(6873,plain,
% 13.61/9.32 (until5(s80)),
% 13.61/9.32 inference(unit_resolution,[status(thm)],[5606, 6872])).
% 13.61/9.33 tff(6874,plain,
% 13.61/9.33 (~node4(s80)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5615, 36, 6637])).
% 13.61/9.33 tff(6875,plain,
% 13.61/9.33 (xuntil6(s80) | (~until5(s80))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5656, 294, 6874])).
% 13.61/9.33 tff(6876,plain,
% 13.61/9.33 (xuntil6(s80)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6875, 6873])).
% 13.61/9.33 tff(6877,plain,
% 13.61/9.33 (until5(s81)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5662, 6876])).
% 13.61/9.33 tff(6878,plain,
% 13.61/9.33 (~node4(s81)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6223, 36, 6636])).
% 13.61/9.33 tff(6879,plain,
% 13.61/9.33 (xuntil6(s81) | (~until5(s81))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6230, 294, 6878])).
% 13.61/9.33 tff(6880,plain,
% 13.61/9.33 (xuntil6(s81)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6879, 6877])).
% 13.61/9.33 tff(6881,plain,
% 13.61/9.33 (until5(s82)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6210, 6880])).
% 13.61/9.33 tff(6882,plain,
% 13.61/9.33 (~node4(s82)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5800, 36, 6635])).
% 13.61/9.33 tff(6883,plain,
% 13.61/9.33 (xuntil6(s82) | (~until5(s82))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6202, 294, 6882])).
% 13.61/9.33 tff(6884,plain,
% 13.61/9.33 (xuntil6(s82)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6883, 6881])).
% 13.61/9.33 tff(6885,plain,
% 13.61/9.33 (until5(s83)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6195, 6884])).
% 13.61/9.33 tff(6886,plain,
% 13.61/9.33 (~node4(s83)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6159, 36, 6634])).
% 13.61/9.33 tff(6887,plain,
% 13.61/9.33 (xuntil6(s83) | (~until5(s83))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6189, 294, 6886])).
% 13.61/9.33 tff(6888,plain,
% 13.61/9.33 (xuntil6(s83)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6887, 6885])).
% 13.61/9.33 tff(6889,plain,
% 13.61/9.33 (until5(s84)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6150, 6888])).
% 13.61/9.33 tff(6890,plain,
% 13.61/9.33 (xuntil6(s84)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6145, 6889])).
% 13.61/9.33 tff(6891,plain,
% 13.61/9.33 (until5(s85)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6105, 6890])).
% 13.61/9.33 tff(6892,plain,
% 13.61/9.33 (~node4(s85)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6069, 36, 6632])).
% 13.61/9.33 tff(6893,plain,
% 13.61/9.33 (xuntil6(s85) | (~until5(s85))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6099, 294, 6892])).
% 13.61/9.33 tff(6894,plain,
% 13.61/9.33 (xuntil6(s85)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6893, 6891])).
% 13.61/9.33 tff(6895,plain,
% 13.61/9.33 (until5(s86)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6060, 6894])).
% 13.61/9.33 tff(6896,plain,
% 13.61/9.33 (xuntil6(s87)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6055, 6895])).
% 13.61/9.33 tff(6897,plain,
% 13.61/9.33 (until5(s88)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5964, 6896])).
% 13.61/9.33 tff(6898,plain,
% 13.61/9.33 (~node4(s88)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5928, 36, 6629])).
% 13.61/9.33 tff(6899,plain,
% 13.61/9.33 (xuntil6(s88) | (~until5(s88))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5958, 294, 6898])).
% 13.61/9.33 tff(6900,plain,
% 13.61/9.33 (xuntil6(s88)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6899, 6897])).
% 13.61/9.33 tff(6901,plain,
% 13.61/9.33 (until5(s89)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5919, 6900])).
% 13.61/9.33 tff(6902,plain,
% 13.61/9.33 (xuntil6(s90)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5914, 6901])).
% 13.61/9.33 tff(6903,plain,
% 13.61/9.33 (until5(s91)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5817, 6902])).
% 13.61/9.33 tff(6904,plain,
% 13.61/9.33 (~node4(s91)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5804, 36, 6626])).
% 13.61/9.33 tff(6905,plain,
% 13.61/9.33 (xuntil6(s91) | (~until5(s91))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[5811, 294, 6904])).
% 13.61/9.33 tff(6906,plain,
% 13.61/9.33 (xuntil6(s91)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6905, 6903])).
% 13.61/9.33 tff(6907,plain,
% 13.61/9.33 (until5(s92)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6495, 6906])).
% 13.61/9.33 tff(6908,plain,
% 13.61/9.33 (~node4(s92)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6504, 36, 6625])).
% 13.61/9.33 tff(6909,plain,
% 13.61/9.33 (xuntil6(s92) | (~until5(s92))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6545, 294, 6908])).
% 13.61/9.33 tff(6910,plain,
% 13.61/9.33 (xuntil6(s92)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6909, 6907])).
% 13.61/9.33 tff(6911,plain,
% 13.61/9.33 (until5(s93)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6551, 6910])).
% 13.61/9.33 tff(6912,plain,
% 13.61/9.33 (~node4(s93)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6560, 36, 6624])).
% 13.61/9.33 tff(6913,plain,
% 13.61/9.33 (xuntil6(s93) | (~until5(s93))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6601, 294, 6912])).
% 13.61/9.33 tff(6914,plain,
% 13.61/9.33 (xuntil6(s93)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6913, 6911])).
% 13.61/9.33 tff(6915,plain,
% 13.61/9.33 (until5(s94)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6607, 6914])).
% 13.61/9.33 tff(6916,plain,
% 13.61/9.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6917,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6918,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 13.61/9.33 tff(6919,plain,
% 13.61/9.33 (~node4(s94)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6918, 36, 6623])).
% 13.61/9.33 tff(6920,plain,
% 13.61/9.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s94) | node4(s94) | (~until5(s94)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6921,plain,
% 13.61/9.33 ((node4(s94) | (~until5(s94)) | xuntil6(s94)) <=> (xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6922,plain,
% 13.61/9.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s94) | (~until5(s94)) | xuntil6(s94))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s94) | node4(s94) | (~until5(s94))))),
% 13.61/9.33 inference(monotonicity,[status(thm)],[6921])).
% 13.61/9.33 tff(6923,plain,
% 13.61/9.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s94) | (~until5(s94)) | xuntil6(s94))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 13.61/9.33 inference(transitivity,[status(thm)],[6922, 6920])).
% 13.61/9.33 tff(6924,plain,
% 13.61/9.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s94) | (~until5(s94)) | xuntil6(s94))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6925,plain,
% 13.61/9.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s94) | node4(s94) | (~until5(s94))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6924, 6923])).
% 13.61/9.33 tff(6926,plain,
% 13.61/9.33 (xuntil6(s94) | (~until5(s94))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6925, 294, 6919])).
% 13.61/9.33 tff(6927,plain,
% 13.61/9.33 (xuntil6(s94)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6926, 6915])).
% 13.61/9.33 tff(6928,plain,
% 13.61/9.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6929,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6930,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 13.61/9.33 tff(6931,plain,
% 13.61/9.33 ((~xuntil6(s94)) | until5(s95)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6930, 6614, 312])).
% 13.61/9.33 tff(6932,plain,
% 13.61/9.33 (until5(s95)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6931, 6927])).
% 13.61/9.33 tff(6933,plain,
% 13.61/9.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6934,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6935,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 13.61/9.33 tff(6936,plain,
% 13.61/9.33 (~node4(s95)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6935, 36, 6611])).
% 13.61/9.33 tff(6937,plain,
% 13.61/9.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s95) | node4(s95) | (~until5(s95)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s95) | node4(s95) | (~until5(s95)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6938,plain,
% 13.61/9.33 ((node4(s95) | (~until5(s95)) | xuntil6(s95)) <=> (xuntil6(s95) | node4(s95) | (~until5(s95)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6939,plain,
% 13.61/9.33 (((~![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))))),
% 13.61/9.33 inference(monotonicity,[status(thm)],[6938])).
% 13.61/9.33 tff(6940,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(transitivity,[status(thm)],[6939, 6937])).
% 13.61/9.33 tff(6941,plain,
% 13.61/9.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s95) | (~until5(s95)) | xuntil6(s95))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6942,plain,
% 13.61/9.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s95) | node4(s95) | (~until5(s95))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 13.61/9.33 tff(6943,plain,
% 13.61/9.33 (xuntil6(s95) | (~until5(s95))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6942, 294, 6936])).
% 13.61/9.33 tff(6944,plain,
% 13.61/9.33 (xuntil6(s95)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6943, 6932])).
% 13.61/9.33 tff(6945,plain,
% 13.61/9.33 (succ(s95, s96) <=> succ(s95, s96)),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6946,axiom,(succ(s95, s96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound96')).
% 13.61/9.33 tff(6947,plain,
% 13.61/9.33 (succ(s95, s96)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6946, 6945])).
% 13.61/9.33 tff(6948,plain,
% 13.61/9.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6949,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6950,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 13.61/9.33 tff(6951,plain,
% 13.61/9.33 ((~xuntil6(s95)) | until5(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6950, 6947, 312])).
% 13.61/9.33 tff(6952,plain,
% 13.61/9.33 (until5(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6951, 6944])).
% 13.61/9.33 tff(6953,assumption,(until5(s96)), introduced(assumption)).
% 13.61/9.33 tff(6954,assumption,(~xuntil6(s97)), introduced(assumption)).
% 13.61/9.33 tff(6955,assumption,(~always3(s97)), introduced(assumption)).
% 13.61/9.33 tff(6956,plain,
% 13.61/9.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s97) | (~node4(s97)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s97) | (~node4(s97)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6957,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s97) | (~node4(s97)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6958,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s97) | (~node4(s97))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6957, 6956])).
% 13.61/9.33 tff(6959,plain,
% 13.61/9.33 (~node4(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6958, 36, 6955])).
% 13.61/9.33 tff(6960,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6961,plain,
% 13.61/9.33 ((node4(s97) | (~until5(s97)) | xuntil6(s97)) <=> (xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6962,plain,
% 13.61/9.33 (((~![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))))),
% 13.61/9.33 inference(monotonicity,[status(thm)],[6961])).
% 13.61/9.33 tff(6963,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(transitivity,[status(thm)],[6962, 6960])).
% 13.61/9.33 tff(6964,plain,
% 13.61/9.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6965,plain,
% 13.61/9.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 13.61/9.33 tff(6966,plain,
% 13.61/9.33 (node4(s97) | (~until5(s97))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6965, 294, 6954])).
% 13.61/9.33 tff(6967,plain,
% 13.61/9.33 (~until5(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6966, 6959])).
% 13.61/9.33 tff(6968,plain,
% 13.61/9.33 (succ(s96, s97) <=> succ(s96, s97)),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6969,axiom,(succ(s96, s97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound97')).
% 13.61/9.33 tff(6970,plain,
% 13.61/9.33 (succ(s96, s97)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 13.61/9.33 tff(6971,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6972,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6973,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 13.61/9.33 tff(6974,plain,
% 13.61/9.33 (trans(s96, s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6973, 6970, 52])).
% 13.61/9.33 tff(6975,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6976,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s96, s97)) | (~always3(s96)) | always3(s97))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6977,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s96, s97)) | (~always3(s96)) | always3(s97)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 13.61/9.33 tff(6978,plain,
% 13.61/9.33 ((~always3(s96)) | always3(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6977, 125, 6974])).
% 13.61/9.33 tff(6979,plain,
% 13.61/9.33 (~always3(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6978, 6955])).
% 13.61/9.33 tff(6980,plain,
% 13.61/9.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6981,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6982,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6981, 6980])).
% 13.61/9.33 tff(6983,plain,
% 13.61/9.33 (~node4(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6982, 36, 6979])).
% 13.61/9.33 tff(6984,plain,
% 13.61/9.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s96) | node4(s96) | (~until5(s96)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6985,plain,
% 13.61/9.33 ((node4(s96) | (~until5(s96)) | xuntil6(s96)) <=> (xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6986,plain,
% 13.61/9.33 (((~![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))))),
% 13.61/9.33 inference(monotonicity,[status(thm)],[6985])).
% 13.61/9.33 tff(6987,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(transitivity,[status(thm)],[6986, 6984])).
% 13.61/9.33 tff(6988,plain,
% 13.61/9.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6989,plain,
% 13.61/9.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 13.61/9.33 tff(6990,plain,
% 13.61/9.33 (xuntil6(s96) | node4(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6989, 294, 6953])).
% 13.61/9.33 tff(6991,plain,
% 13.61/9.33 (xuntil6(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6990, 6983])).
% 13.61/9.33 tff(6992,plain,
% 13.61/9.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(6993,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(6994,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[6993, 6992])).
% 13.61/9.33 tff(6995,plain,
% 13.61/9.33 ((~xuntil6(s96)) | until5(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6994, 6970, 312])).
% 13.61/9.33 tff(6996,plain,
% 13.61/9.33 ($false),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6995, 6991, 6967])).
% 13.61/9.33 tff(6997,plain,(always3(s97) | (~until5(s96)) | xuntil6(s97)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.33 tff(6998,plain,
% 13.61/9.33 (always3(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6997, 6954, 6953])).
% 13.61/9.33 tff(6999,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7000,plain,
% 13.61/9.33 (((~m_main_v_state(s97, c_busy)) | (~always3(s97))) <=> ((~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7001,plain,
% 13.61/9.33 (((~![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))))),
% 13.61/9.33 inference(monotonicity,[status(thm)],[7000])).
% 13.61/9.33 tff(7002,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(transitivity,[status(thm)],[7001, 6999])).
% 13.61/9.33 tff(7003,plain,
% 13.61/9.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7004,plain,
% 13.61/9.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 13.61/9.33 tff(7005,plain,
% 13.61/9.33 (~m_main_v_state(s97, c_busy)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7004, 85, 6998])).
% 13.61/9.33 tff(7006,plain,
% 13.61/9.33 (succ(s97, s98) <=> succ(s97, s98)),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7007,axiom,(succ(s97, s98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound98')).
% 13.61/9.33 tff(7008,plain,
% 13.61/9.33 (succ(s97, s98)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 13.61/9.33 tff(7009,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7010,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7011,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7010, 7009])).
% 13.61/9.33 tff(7012,plain,
% 13.61/9.33 (trans(s97, s98)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7011, 7008, 52])).
% 13.61/9.33 tff(7013,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7014,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s97, s98)) | (~always3(s97)) | always3(s98))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7015,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s97, s98)) | (~always3(s97)) | always3(s98)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7014, 7013])).
% 13.61/9.33 tff(7016,plain,
% 13.61/9.33 ((~always3(s97)) | always3(s98)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7015, 125, 7012])).
% 13.61/9.33 tff(7017,plain,
% 13.61/9.33 (always3(s98)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7016, 6998])).
% 13.61/9.33 tff(7018,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7019,plain,
% 13.61/9.33 (((~m_main_v_state(s98, c_busy)) | (~always3(s98))) <=> ((~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7020,plain,
% 13.61/9.33 (((~![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))))),
% 13.61/9.33 inference(monotonicity,[status(thm)],[7019])).
% 13.61/9.33 tff(7021,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(transitivity,[status(thm)],[7020, 7018])).
% 13.61/9.33 tff(7022,plain,
% 13.61/9.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7023,plain,
% 13.61/9.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 13.61/9.33 tff(7024,plain,
% 13.61/9.33 (~m_main_v_state(s98, c_busy)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7023, 85, 7017])).
% 13.61/9.33 tff(7025,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7026,plain,
% 13.61/9.33 ((~![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))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7027,plain,
% 13.61/9.33 ((~![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)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7026, 7025])).
% 13.61/9.33 tff(7028,plain,
% 13.61/9.33 (m_main_v_state(s97, c_ready)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7027, 102, 7005])).
% 13.61/9.33 tff(7029,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7030,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s97, s98)) | node2(s97, s98))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7031,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s97, s98)) | node2(s97, s98)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7030, 7029])).
% 13.61/9.33 tff(7032,plain,
% 13.61/9.33 (node2(s97, s98)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7031, 7, 7012])).
% 13.61/9.33 tff(7033,plain,
% 13.61/9.33 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7034,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7035,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 13.61/9.33 tff(7036,plain,
% 13.61/9.33 ((~m_main_v_state(s97, c_ready)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7035, 73, 7032])).
% 13.61/9.33 tff(7037,plain,
% 13.61/9.33 (~m_main_v_request(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7036, 7028, 7024])).
% 13.61/9.33 tff(7038,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7039,plain,
% 13.61/9.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s97) | (~node4(s97)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7040,plain,
% 13.61/9.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s97) | (~node4(s97))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7039, 7038])).
% 13.61/9.33 tff(7041,plain,
% 13.61/9.33 (~node4(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7040, 21, 7037])).
% 13.61/9.33 tff(7042,plain,
% 13.61/9.33 (~until5(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6966, 7041])).
% 13.61/9.33 tff(7043,plain,
% 13.61/9.33 (~xuntil6(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6995, 7042])).
% 13.61/9.33 tff(7044,plain,
% 13.61/9.33 (node4(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6990, 7043])).
% 13.61/9.33 tff(7045,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7046,plain,
% 13.61/9.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s96) | (~node4(s96)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7047,plain,
% 13.61/9.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s96) | (~node4(s96))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 13.61/9.33 tff(7048,plain,
% 13.61/9.33 (m_main_v_request(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7047, 21, 7044])).
% 13.61/9.33 tff(7049,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7050,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s96, s97)) | node2(s96, s97))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7051,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s96, s97)) | node2(s96, s97)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7050, 7049])).
% 13.61/9.33 tff(7052,plain,
% 13.61/9.33 (node2(s96, s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7051, 7, 6974])).
% 13.61/9.33 tff(7053,plain,
% 13.61/9.33 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7054,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7055,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 13.61/9.33 tff(7056,plain,
% 13.61/9.33 ((~m_main_v_state(s96, c_ready)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7055, 73, 7052])).
% 13.61/9.33 tff(7057,plain,
% 13.61/9.33 (~m_main_v_state(s96, c_ready)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7056, 7048, 7005])).
% 13.61/9.33 tff(7058,plain,
% 13.61/9.33 (always3(s96)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[6982, 36, 7044])).
% 13.61/9.33 tff(7059,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7060,plain,
% 13.61/9.33 (((~m_main_v_state(s96, c_busy)) | (~always3(s96))) <=> ((~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7061,plain,
% 13.61/9.33 (((~![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))))),
% 13.61/9.33 inference(monotonicity,[status(thm)],[7060])).
% 13.61/9.33 tff(7062,plain,
% 13.61/9.33 (((~![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)))),
% 13.61/9.33 inference(transitivity,[status(thm)],[7061, 7059])).
% 13.61/9.33 tff(7063,plain,
% 13.61/9.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7064,plain,
% 13.61/9.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7063, 7062])).
% 13.61/9.33 tff(7065,plain,
% 13.61/9.33 (~m_main_v_state(s96, c_busy)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7064, 85, 7058])).
% 13.61/9.33 tff(7066,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7067,plain,
% 13.61/9.33 ((~![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))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7068,plain,
% 13.61/9.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7067, 7066])).
% 13.61/9.33 tff(7069,plain,
% 13.61/9.33 ($false),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7068, 102, 7065, 7057])).
% 13.61/9.33 tff(7070,plain,(xuntil6(s97) | (~until5(s96))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.33 tff(7071,plain,
% 13.61/9.33 (xuntil6(s97)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7070, 6952])).
% 13.61/9.33 tff(7072,plain,
% 13.61/9.33 (((~![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))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7073,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7074,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7073, 7072])).
% 13.61/9.33 tff(7075,plain,
% 13.61/9.33 ((~xuntil6(s97)) | until5(s98)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7074, 7008, 312])).
% 13.61/9.33 tff(7076,plain,
% 13.61/9.33 (until5(s98)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7075, 7071])).
% 13.61/9.33 tff(7077,assumption,(~always3(s103)), introduced(assumption)).
% 13.61/9.33 tff(7078,plain,
% 13.61/9.33 (succ(s102, s103) <=> succ(s102, s103)),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7079,axiom,(succ(s102, s103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound103')).
% 13.61/9.33 tff(7080,plain,
% 13.61/9.33 (succ(s102, s103)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 13.61/9.33 tff(7081,plain,
% 13.61/9.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7082,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7083,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7082, 7081])).
% 13.61/9.33 tff(7084,plain,
% 13.61/9.33 (trans(s102, s103)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7083, 7080, 52])).
% 13.61/9.33 tff(7085,plain,
% 13.61/9.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s102, s103)) | (~always3(s102)) | always3(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s102, s103)) | (~always3(s102)) | always3(s103))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7086,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s102, s103)) | (~always3(s102)) | always3(s103))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7087,plain,
% 13.61/9.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s102, s103)) | (~always3(s102)) | always3(s103)),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7086, 7085])).
% 13.61/9.33 tff(7088,plain,
% 13.61/9.33 ((~always3(s102)) | always3(s103)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7087, 125, 7084])).
% 13.61/9.33 tff(7089,plain,
% 13.61/9.33 (~always3(s102)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7088, 7077])).
% 13.61/9.33 tff(7090,plain,
% 13.61/9.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7091,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7092,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102))),
% 13.61/9.33 inference(modus_ponens,[status(thm)],[7091, 7090])).
% 13.61/9.33 tff(7093,plain,
% 13.61/9.33 (~node4(s102)),
% 13.61/9.33 inference(unit_resolution,[status(thm)],[7092, 36, 7089])).
% 13.61/9.33 tff(7094,plain,
% 13.61/9.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103)))),
% 13.61/9.33 inference(rewrite,[status(thm)],[])).
% 13.61/9.33 tff(7095,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))),
% 13.61/9.33 inference(quant_inst,[status(thm)],[])).
% 13.61/9.33 tff(7096,plain,
% 13.61/9.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103))),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 13.61/9.34 tff(7097,plain,
% 13.61/9.34 (~node4(s103)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7096, 36, 7077])).
% 13.61/9.34 tff(7098,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s103) | node4(s103) | (~until5(s103)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7099,plain,
% 13.61/9.34 ((node4(s103) | (~until5(s103)) | xuntil6(s103)) <=> (xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7100,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s103) | node4(s103) | (~until5(s103))))),
% 13.61/9.34 inference(monotonicity,[status(thm)],[7099])).
% 13.61/9.34 tff(7101,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 13.61/9.34 inference(transitivity,[status(thm)],[7100, 7098])).
% 13.61/9.34 tff(7102,plain,
% 13.61/9.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7103,plain,
% 13.61/9.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103))),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 13.61/9.34 tff(7104,plain,
% 13.61/9.34 (node4(s103) | (~until5(s103))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7103, 294, 6609])).
% 13.61/9.34 tff(7105,plain,
% 13.61/9.34 (~until5(s103)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7104, 7097])).
% 13.61/9.34 tff(7106,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7107,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7108,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 13.61/9.34 tff(7109,plain,
% 13.61/9.34 ((~xuntil6(s102)) | until5(s103)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7108, 7080, 312])).
% 13.61/9.34 tff(7110,plain,
% 13.61/9.34 (~xuntil6(s102)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7109, 7105])).
% 13.61/9.34 tff(7111,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s102) | node4(s102) | (~until5(s102)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7112,plain,
% 13.61/9.34 ((node4(s102) | (~until5(s102)) | xuntil6(s102)) <=> (xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7113,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s102) | node4(s102) | (~until5(s102))))),
% 13.61/9.34 inference(monotonicity,[status(thm)],[7112])).
% 13.61/9.34 tff(7114,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 13.61/9.34 inference(transitivity,[status(thm)],[7113, 7111])).
% 13.61/9.34 tff(7115,plain,
% 13.61/9.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7116,plain,
% 13.61/9.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102))),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 13.61/9.34 tff(7117,plain,
% 13.61/9.34 (~until5(s102)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7116, 294, 7110, 7093])).
% 13.61/9.34 tff(7118,plain,
% 13.61/9.34 (succ(s101, s102) <=> succ(s101, s102)),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7119,axiom,(succ(s101, s102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound102')).
% 13.61/9.34 tff(7120,plain,
% 13.61/9.34 (succ(s101, s102)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 13.61/9.34 tff(7121,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7122,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7123,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7122, 7121])).
% 13.61/9.34 tff(7124,plain,
% 13.61/9.34 ((~xuntil6(s101)) | until5(s102)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7123, 7120, 312])).
% 13.61/9.34 tff(7125,plain,
% 13.61/9.34 (~xuntil6(s101)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7124, 7117])).
% 13.61/9.34 tff(7126,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7127,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7128,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 13.61/9.34 tff(7129,plain,
% 13.61/9.34 (trans(s101, s102)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7128, 7120, 52])).
% 13.61/9.34 tff(7130,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s101, s102)) | (~always3(s101)) | always3(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s101, s102)) | (~always3(s101)) | always3(s102))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7131,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s101, s102)) | (~always3(s101)) | always3(s102))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7132,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s101, s102)) | (~always3(s101)) | always3(s102)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7131, 7130])).
% 13.61/9.34 tff(7133,plain,
% 13.61/9.34 ((~always3(s101)) | always3(s102)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7132, 125, 7129])).
% 13.61/9.34 tff(7134,plain,
% 13.61/9.34 (~always3(s101)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7133, 7089])).
% 13.61/9.34 tff(7135,plain,
% 13.61/9.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7136,plain,
% 13.61/9.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7137,plain,
% 13.61/9.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101))),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 13.61/9.34 tff(7138,plain,
% 13.61/9.34 (~node4(s101)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7137, 36, 7134])).
% 13.61/9.34 tff(7139,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s101) | node4(s101) | (~until5(s101)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7140,plain,
% 13.61/9.34 ((node4(s101) | (~until5(s101)) | xuntil6(s101)) <=> (xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7141,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s101) | node4(s101) | (~until5(s101))))),
% 13.61/9.34 inference(monotonicity,[status(thm)],[7140])).
% 13.61/9.34 tff(7142,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 13.61/9.34 inference(transitivity,[status(thm)],[7141, 7139])).
% 13.61/9.34 tff(7143,plain,
% 13.61/9.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7144,plain,
% 13.61/9.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101))),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7143, 7142])).
% 13.61/9.34 tff(7145,plain,
% 13.61/9.34 (xuntil6(s101) | (~until5(s101))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7144, 294, 7138])).
% 13.61/9.34 tff(7146,plain,
% 13.61/9.34 (~until5(s101)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7145, 7125])).
% 13.61/9.34 tff(7147,plain,
% 13.61/9.34 (succ(s100, s101) <=> succ(s100, s101)),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7148,axiom,(succ(s100, s101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound101')).
% 13.61/9.34 tff(7149,plain,
% 13.61/9.34 (succ(s100, s101)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 13.61/9.34 tff(7150,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7151,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7152,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 13.61/9.34 tff(7153,plain,
% 13.61/9.34 ((~xuntil6(s100)) | until5(s101)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7152, 7149, 312])).
% 13.61/9.34 tff(7154,plain,
% 13.61/9.34 (~xuntil6(s100)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7153, 7146])).
% 13.61/9.34 tff(7155,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7156,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7157,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7156, 7155])).
% 13.61/9.34 tff(7158,plain,
% 13.61/9.34 (trans(s100, s101)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7157, 7149, 52])).
% 13.61/9.34 tff(7159,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s100, s101)) | (~always3(s100)) | always3(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s100, s101)) | (~always3(s100)) | always3(s101))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7160,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s100, s101)) | (~always3(s100)) | always3(s101))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7161,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s100, s101)) | (~always3(s100)) | always3(s101)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 13.61/9.34 tff(7162,plain,
% 13.61/9.34 ((~always3(s100)) | always3(s101)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7161, 125, 7158])).
% 13.61/9.34 tff(7163,plain,
% 13.61/9.34 (~always3(s100)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7162, 7134])).
% 13.61/9.34 tff(7164,plain,
% 13.61/9.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s100) | (~node4(s100)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s100) | (~node4(s100)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7165,plain,
% 13.61/9.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s100) | (~node4(s100)))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7166,plain,
% 13.61/9.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s100) | (~node4(s100))),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7165, 7164])).
% 13.61/9.34 tff(7167,plain,
% 13.61/9.34 (~node4(s100)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7166, 36, 7163])).
% 13.61/9.34 tff(7168,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s100) | node4(s100) | (~until5(s100)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7169,plain,
% 13.61/9.34 ((node4(s100) | (~until5(s100)) | xuntil6(s100)) <=> (xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7170,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s100) | node4(s100) | (~until5(s100))))),
% 13.61/9.34 inference(monotonicity,[status(thm)],[7169])).
% 13.61/9.34 tff(7171,plain,
% 13.61/9.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 13.61/9.34 inference(transitivity,[status(thm)],[7170, 7168])).
% 13.61/9.34 tff(7172,plain,
% 13.61/9.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7173,plain,
% 13.61/9.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100))),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7172, 7171])).
% 13.61/9.34 tff(7174,plain,
% 13.61/9.34 (xuntil6(s100) | (~until5(s100))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7173, 294, 7167])).
% 13.61/9.34 tff(7175,plain,
% 13.61/9.34 (~until5(s100)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7174, 7154])).
% 13.61/9.34 tff(7176,plain,
% 13.61/9.34 (succ(s99, s100) <=> succ(s99, s100)),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7177,axiom,(succ(s99, s100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound100')).
% 13.61/9.34 tff(7178,plain,
% 13.61/9.34 (succ(s99, s100)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7177, 7176])).
% 13.61/9.34 tff(7179,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7180,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7181,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7180, 7179])).
% 13.61/9.34 tff(7182,plain,
% 13.61/9.34 ((~xuntil6(s99)) | until5(s100)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7181, 7178, 312])).
% 13.61/9.34 tff(7183,plain,
% 13.61/9.34 (~xuntil6(s99)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7182, 7175])).
% 13.61/9.34 tff(7184,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7185,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7186,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7185, 7184])).
% 13.61/9.34 tff(7187,plain,
% 13.61/9.34 (trans(s99, s100)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7186, 7178, 52])).
% 13.61/9.34 tff(7188,plain,
% 13.61/9.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s100)) | (~always3(s99)) | always3(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s99, s100)) | (~always3(s99)) | always3(s100))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7189,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s100)) | (~always3(s99)) | always3(s100))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7190,plain,
% 13.61/9.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s99, s100)) | (~always3(s99)) | always3(s100)),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 13.61/9.34 tff(7191,plain,
% 13.61/9.34 ((~always3(s99)) | always3(s100)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7190, 125, 7187])).
% 13.61/9.34 tff(7192,plain,
% 13.61/9.34 (~always3(s99)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7191, 7163])).
% 13.61/9.34 tff(7193,plain,
% 13.61/9.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s99) | (~node4(s99)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s99) | (~node4(s99)))),
% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7194,plain,
% 13.61/9.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s99) | (~node4(s99)))),
% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
% 13.61/9.34 tff(7195,plain,
% 13.61/9.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s99) | (~node4(s99))),
% 13.61/9.34 inference(modus_ponens,[status(thm)],[7194, 7193])).
% 13.61/9.34 tff(7196,plain,
% 13.61/9.34 (~node4(s99)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7195, 36, 7192])).
% 13.61/9.34 tff(7197,plain,
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% 13.61/9.34 inference(rewrite,[status(thm)],[])).
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% 13.61/9.34 inference(rewrite,[status(thm)],[])).
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% 13.61/9.34 inference(monotonicity,[status(thm)],[7198])).
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% 13.61/9.34 inference(transitivity,[status(thm)],[7199, 7197])).
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% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
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% 13.61/9.34 inference(modus_ponens,[status(thm)],[7201, 7200])).
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% 13.61/9.34 inference(unit_resolution,[status(thm)],[7202, 294, 7196])).
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% 13.61/9.34 inference(unit_resolution,[status(thm)],[7203, 7183])).
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% 13.61/9.34 inference(rewrite,[status(thm)],[])).
% 13.61/9.34 tff(7206,axiom,(succ(s98, s99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound99')).
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% 13.61/9.34 inference(rewrite,[status(thm)],[])).
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% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
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% 13.61/9.34 inference(modus_ponens,[status(thm)],[7209, 7208])).
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% 13.61/9.34 inference(rewrite,[status(thm)],[])).
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% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
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% 13.61/9.34 inference(modus_ponens,[status(thm)],[7214, 7213])).
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% 13.61/9.34 inference(rewrite,[status(thm)],[])).
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% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
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% 13.61/9.34 inference(modus_ponens,[status(thm)],[7218, 7217])).
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% 13.61/9.34 inference(rewrite,[status(thm)],[])).
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% 13.61/9.34 inference(quant_inst,[status(thm)],[])).
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% 13.61/9.34 inference(rewrite,[status(thm)],[])).
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% 13.61/9.34 inference(transitivity,[status(thm)],[7228, 7226])).
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% 13.61/9.34 inference(unit_resolution,[status(thm)],[5928, 36, 7288])).
% 13.61/9.34 tff(7290,plain,
% 13.61/9.34 (xuntil6(s88) | (~until5(s88))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5958, 294, 7289])).
% 13.61/9.34 tff(7291,plain,
% 13.61/9.34 (~until5(s88)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7290, 7287])).
% 13.61/9.34 tff(7292,plain,
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% 13.61/9.34 inference(unit_resolution,[status(thm)],[5964, 7291])).
% 13.61/9.34 tff(7293,plain,
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% 13.61/9.34 inference(unit_resolution,[status(thm)],[5736, 7288])).
% 13.61/9.34 tff(7294,plain,
% 13.61/9.34 (~node4(s87)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5971, 36, 7293])).
% 13.61/9.34 tff(7295,plain,
% 13.61/9.34 (xuntil6(s87) | (~until5(s87))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5978, 294, 7294])).
% 13.61/9.34 tff(7296,plain,
% 13.61/9.34 (~until5(s87)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7295, 7292])).
% 13.61/9.34 tff(7297,plain,
% 13.61/9.34 (~xuntil6(s86)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5997, 7296])).
% 13.61/9.34 tff(7298,plain,
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% 13.61/9.34 inference(unit_resolution,[status(thm)],[5748, 7293])).
% 13.61/9.34 tff(7299,plain,
% 13.61/9.34 (~node4(s86)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5984, 36, 7298])).
% 13.61/9.34 tff(7300,plain,
% 13.61/9.34 (xuntil6(s86) | (~until5(s86))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5991, 294, 7299])).
% 13.61/9.34 tff(7301,plain,
% 13.61/9.34 (~until5(s86)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7300, 7297])).
% 13.61/9.34 tff(7302,plain,
% 13.61/9.34 (~xuntil6(s85)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[6060, 7301])).
% 13.61/9.34 tff(7303,plain,
% 13.61/9.34 (~always3(s85)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5760, 7298])).
% 13.61/9.34 tff(7304,plain,
% 13.61/9.34 (~node4(s85)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[6069, 36, 7303])).
% 13.61/9.34 tff(7305,plain,
% 13.61/9.34 (xuntil6(s85) | (~until5(s85))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[6099, 294, 7304])).
% 13.61/9.34 tff(7306,plain,
% 13.61/9.34 (~until5(s85)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7305, 7302])).
% 13.61/9.34 tff(7307,plain,
% 13.61/9.34 (~xuntil6(s84)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[6105, 7306])).
% 13.61/9.34 tff(7308,plain,
% 13.61/9.34 (~always3(s84)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5772, 7303])).
% 13.61/9.34 tff(7309,plain,
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% 13.61/9.34 inference(unit_resolution,[status(thm)],[5784, 7308])).
% 13.61/9.34 tff(7310,plain,
% 13.61/9.34 (~always3(s82)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5796, 7309])).
% 13.61/9.34 tff(7311,plain,
% 13.61/9.34 (~always3(s81)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[6219, 7310])).
% 13.61/9.34 tff(7312,plain,
% 13.61/9.34 (~always3(s80)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5627, 7311])).
% 13.61/9.34 tff(7313,plain,
% 13.61/9.34 (~always3(s79)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5571, 7312])).
% 13.61/9.34 tff(7314,plain,
% 13.61/9.34 (~always3(s78)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5515, 7313])).
% 13.61/9.34 tff(7315,plain,
% 13.61/9.34 (~always3(s77)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5459, 7314])).
% 13.61/9.34 tff(7316,plain,
% 13.61/9.34 (~always3(s76)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5403, 7315])).
% 13.61/9.34 tff(7317,plain,
% 13.61/9.34 (~always3(s75)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5347, 7316])).
% 13.61/9.34 tff(7318,plain,
% 13.61/9.34 (~always3(s74)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5291, 7317])).
% 13.61/9.34 tff(7319,plain,
% 13.61/9.34 (~always3(s73)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5235, 7318])).
% 13.61/9.34 tff(7320,plain,
% 13.61/9.34 (~always3(s72)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5179, 7319])).
% 13.61/9.34 tff(7321,plain,
% 13.61/9.34 (~always3(s71)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5123, 7320])).
% 13.61/9.34 tff(7322,plain,
% 13.61/9.34 (~always3(s70)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5067, 7321])).
% 13.61/9.34 tff(7323,plain,
% 13.61/9.34 (~always3(s69)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5011, 7322])).
% 13.61/9.34 tff(7324,plain,
% 13.61/9.34 (~always3(s68)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4955, 7323])).
% 13.61/9.34 tff(7325,plain,
% 13.61/9.34 (~always3(s67)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4899, 7324])).
% 13.61/9.34 tff(7326,plain,
% 13.61/9.34 (~always3(s66)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4835, 7325])).
% 13.61/9.34 tff(7327,plain,
% 13.61/9.34 (~node4(s66)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4805, 36, 7326])).
% 13.61/9.34 tff(7328,plain,
% 13.61/9.34 (~always3(s65)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[129, 7326])).
% 13.61/9.34 tff(7329,plain,
% 13.61/9.34 (~node4(s65)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[39, 36, 7328])).
% 13.61/9.34 tff(7330,plain,
% 13.61/9.34 (xuntil6(s65)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4869, 7329])).
% 13.61/9.34 tff(7331,plain,
% 13.61/9.34 (until5(s66)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4799, 7330])).
% 13.61/9.34 tff(7332,plain,
% 13.61/9.34 (xuntil6(s66)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4812, 294, 7331, 7327])).
% 13.61/9.34 tff(7333,plain,
% 13.61/9.34 (until5(s67)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4878, 7332])).
% 13.61/9.34 tff(7334,plain,
% 13.61/9.34 (~node4(s67)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4887, 36, 7325])).
% 13.61/9.34 tff(7335,plain,
% 13.61/9.34 (xuntil6(s67) | (~until5(s67))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4928, 294, 7334])).
% 13.61/9.34 tff(7336,plain,
% 13.61/9.34 (xuntil6(s67)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7335, 7333])).
% 13.61/9.34 tff(7337,plain,
% 13.61/9.34 (until5(s68)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4934, 7336])).
% 13.61/9.34 tff(7338,plain,
% 13.61/9.34 (~node4(s68)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4943, 36, 7324])).
% 13.61/9.34 tff(7339,plain,
% 13.61/9.34 (xuntil6(s68) | (~until5(s68))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4984, 294, 7338])).
% 13.61/9.34 tff(7340,plain,
% 13.61/9.34 (xuntil6(s68)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7339, 7337])).
% 13.61/9.34 tff(7341,plain,
% 13.61/9.34 (until5(s69)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4990, 7340])).
% 13.61/9.34 tff(7342,plain,
% 13.61/9.34 (~node4(s69)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[4999, 36, 7323])).
% 13.61/9.34 tff(7343,plain,
% 13.61/9.34 (xuntil6(s69) | (~until5(s69))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5040, 294, 7342])).
% 13.61/9.34 tff(7344,plain,
% 13.61/9.34 (xuntil6(s69)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7343, 7341])).
% 13.61/9.34 tff(7345,plain,
% 13.61/9.34 (until5(s70)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5046, 7344])).
% 13.61/9.34 tff(7346,plain,
% 13.61/9.34 (~node4(s70)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5055, 36, 7322])).
% 13.61/9.34 tff(7347,plain,
% 13.61/9.34 (xuntil6(s70) | (~until5(s70))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5096, 294, 7346])).
% 13.61/9.34 tff(7348,plain,
% 13.61/9.34 (xuntil6(s70)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7347, 7345])).
% 13.61/9.34 tff(7349,plain,
% 13.61/9.34 (until5(s71)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5102, 7348])).
% 13.61/9.34 tff(7350,plain,
% 13.61/9.34 (~node4(s71)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5111, 36, 7321])).
% 13.61/9.34 tff(7351,plain,
% 13.61/9.34 (xuntil6(s71) | (~until5(s71))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5152, 294, 7350])).
% 13.61/9.34 tff(7352,plain,
% 13.61/9.34 (xuntil6(s71)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7351, 7349])).
% 13.61/9.34 tff(7353,plain,
% 13.61/9.34 (until5(s72)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5158, 7352])).
% 13.61/9.34 tff(7354,plain,
% 13.61/9.34 (~node4(s72)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5167, 36, 7320])).
% 13.61/9.34 tff(7355,plain,
% 13.61/9.34 (xuntil6(s72) | (~until5(s72))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5208, 294, 7354])).
% 13.61/9.34 tff(7356,plain,
% 13.61/9.34 (xuntil6(s72)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7355, 7353])).
% 13.61/9.34 tff(7357,plain,
% 13.61/9.34 (until5(s73)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5214, 7356])).
% 13.61/9.34 tff(7358,plain,
% 13.61/9.34 (~node4(s73)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5223, 36, 7319])).
% 13.61/9.34 tff(7359,plain,
% 13.61/9.34 (xuntil6(s73) | (~until5(s73))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5264, 294, 7358])).
% 13.61/9.34 tff(7360,plain,
% 13.61/9.34 (xuntil6(s73)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7359, 7357])).
% 13.61/9.34 tff(7361,plain,
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% 13.61/9.34 inference(unit_resolution,[status(thm)],[5270, 7360])).
% 13.61/9.34 tff(7362,plain,
% 13.61/9.34 (~node4(s74)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5279, 36, 7318])).
% 13.61/9.34 tff(7363,plain,
% 13.61/9.34 (xuntil6(s74) | (~until5(s74))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5320, 294, 7362])).
% 13.61/9.34 tff(7364,plain,
% 13.61/9.34 (xuntil6(s74)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7363, 7361])).
% 13.61/9.34 tff(7365,plain,
% 13.61/9.34 (until5(s75)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5326, 7364])).
% 13.61/9.34 tff(7366,plain,
% 13.61/9.34 (~node4(s75)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5335, 36, 7317])).
% 13.61/9.34 tff(7367,plain,
% 13.61/9.34 (xuntil6(s75) | (~until5(s75))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5376, 294, 7366])).
% 13.61/9.34 tff(7368,plain,
% 13.61/9.34 (xuntil6(s75)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7367, 7365])).
% 13.61/9.34 tff(7369,plain,
% 13.61/9.34 (until5(s76)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5382, 7368])).
% 13.61/9.34 tff(7370,plain,
% 13.61/9.34 (~node4(s76)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5391, 36, 7316])).
% 13.61/9.34 tff(7371,plain,
% 13.61/9.34 (xuntil6(s76) | (~until5(s76))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5432, 294, 7370])).
% 13.61/9.34 tff(7372,plain,
% 13.61/9.34 (xuntil6(s76)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7371, 7369])).
% 13.61/9.34 tff(7373,plain,
% 13.61/9.34 (until5(s77)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5438, 7372])).
% 13.61/9.34 tff(7374,plain,
% 13.61/9.34 (~node4(s77)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5447, 36, 7315])).
% 13.61/9.34 tff(7375,plain,
% 13.61/9.34 (xuntil6(s77) | (~until5(s77))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5488, 294, 7374])).
% 13.61/9.34 tff(7376,plain,
% 13.61/9.34 (xuntil6(s77)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7375, 7373])).
% 13.61/9.34 tff(7377,plain,
% 13.61/9.34 (until5(s78)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5494, 7376])).
% 13.61/9.34 tff(7378,plain,
% 13.61/9.34 (~node4(s78)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5503, 36, 7314])).
% 13.61/9.34 tff(7379,plain,
% 13.61/9.34 (xuntil6(s78) | (~until5(s78))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5544, 294, 7378])).
% 13.61/9.34 tff(7380,plain,
% 13.61/9.34 (xuntil6(s78)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7379, 7377])).
% 13.61/9.34 tff(7381,plain,
% 13.61/9.34 (until5(s79)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5550, 7380])).
% 13.61/9.34 tff(7382,plain,
% 13.61/9.34 (~node4(s79)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5559, 36, 7313])).
% 13.61/9.34 tff(7383,plain,
% 13.61/9.34 (xuntil6(s79) | (~until5(s79))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5600, 294, 7382])).
% 13.61/9.34 tff(7384,plain,
% 13.61/9.34 (xuntil6(s79)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7383, 7381])).
% 13.61/9.34 tff(7385,plain,
% 13.61/9.34 (until5(s80)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5606, 7384])).
% 13.61/9.34 tff(7386,plain,
% 13.61/9.34 (~node4(s80)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5615, 36, 7312])).
% 13.61/9.34 tff(7387,plain,
% 13.61/9.34 (xuntil6(s80) | (~until5(s80))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5656, 294, 7386])).
% 13.61/9.34 tff(7388,plain,
% 13.61/9.34 (xuntil6(s80)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[7387, 7385])).
% 13.61/9.34 tff(7389,plain,
% 13.61/9.34 (until5(s81)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[5662, 7388])).
% 13.61/9.34 tff(7390,plain,
% 13.61/9.34 (~node4(s81)),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[6223, 36, 7311])).
% 13.61/9.34 tff(7391,plain,
% 13.61/9.34 (xuntil6(s81) | (~until5(s81))),
% 13.61/9.34 inference(unit_resolution,[status(thm)],[6230, 294, 7390])).
% 13.61/9.35 tff(7392,plain,
% 13.61/9.35 (xuntil6(s81)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7391, 7389])).
% 13.61/9.35 tff(7393,plain,
% 13.61/9.35 (until5(s82)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[6210, 7392])).
% 13.61/9.35 tff(7394,plain,
% 13.61/9.35 (~node4(s82)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[5800, 36, 7310])).
% 13.61/9.35 tff(7395,plain,
% 13.61/9.35 (xuntil6(s82) | (~until5(s82))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[6202, 294, 7394])).
% 13.61/9.35 tff(7396,plain,
% 13.61/9.35 (xuntil6(s82)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7395, 7393])).
% 13.61/9.35 tff(7397,plain,
% 13.61/9.35 (until5(s83)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[6195, 7396])).
% 13.61/9.35 tff(7398,plain,
% 13.61/9.35 (~node4(s83)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[6159, 36, 7309])).
% 13.61/9.35 tff(7399,plain,
% 13.61/9.35 (xuntil6(s83) | (~until5(s83))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[6189, 294, 7398])).
% 13.61/9.35 tff(7400,plain,
% 13.61/9.35 (xuntil6(s83)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7399, 7397])).
% 13.61/9.35 tff(7401,plain,
% 13.61/9.35 (until5(s84)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[6150, 7400])).
% 13.61/9.35 tff(7402,plain,
% 13.61/9.35 (~node4(s84)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[6114, 36, 7308])).
% 13.61/9.35 tff(7403,plain,
% 13.61/9.35 (xuntil6(s84) | (~until5(s84))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[6144, 294, 7402])).
% 13.61/9.35 tff(7404,plain,
% 13.61/9.35 ($false),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7403, 7401, 7307])).
% 13.61/9.35 tff(7405,plain,(always3(s103) | (~until5(s65)) | xuntil6(s103)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.35 tff(7406,plain,
% 13.61/9.35 (always3(s103)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7405, 6813, 6609])).
% 13.61/9.35 tff(7407,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s103)) | (~m_main_v_state(s103, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7408,plain,
% 13.61/9.35 (((~m_main_v_state(s103, c_busy)) | (~always3(s103))) <=> ((~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7409,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s103)) | (~m_main_v_state(s103, c_busy))))),
% 13.61/9.35 inference(monotonicity,[status(thm)],[7408])).
% 13.61/9.35 tff(7410,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 13.61/9.35 inference(transitivity,[status(thm)],[7409, 7407])).
% 13.61/9.35 tff(7411,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7412,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7411, 7410])).
% 13.61/9.35 tff(7413,plain,
% 13.61/9.35 (~m_main_v_state(s103, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7412, 85, 7406])).
% 13.61/9.35 tff(7414,assumption,(~m_main_v_state(s103, c_busy)), introduced(assumption)).
% 13.61/9.35 tff(7415,assumption,(node4(s102)), introduced(assumption)).
% 13.61/9.35 tff(7416,plain,
% 13.61/9.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s102) | (~node4(s102)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s102) | (~node4(s102)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7417,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s102) | (~node4(s102)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7418,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s102) | (~node4(s102))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 13.61/9.35 tff(7419,plain,
% 13.61/9.35 (m_main_v_request(s102)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7418, 21, 7415])).
% 13.61/9.35 tff(7420,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s102, s103)) | node2(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s102, s103)) | node2(s102, s103))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7421,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s102, s103)) | node2(s102, s103))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7422,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s102, s103)) | node2(s102, s103)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 13.61/9.35 tff(7423,plain,
% 13.61/9.35 (node2(s102, s103)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7422, 7, 7084])).
% 13.61/9.35 tff(7424,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7425,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7426,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 13.61/9.35 tff(7427,plain,
% 13.61/9.35 ((~m_main_v_state(s102, c_ready)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7426, 73, 7423])).
% 13.61/9.35 tff(7428,plain,
% 13.61/9.35 (~m_main_v_state(s102, c_ready)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7427, 7419, 7414])).
% 13.61/9.35 tff(7429,plain,
% 13.61/9.35 (always3(s102)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7092, 36, 7415])).
% 13.61/9.35 tff(7430,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s102)) | (~m_main_v_state(s102, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7431,plain,
% 13.61/9.35 (((~m_main_v_state(s102, c_busy)) | (~always3(s102))) <=> ((~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7432,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s102)) | (~m_main_v_state(s102, c_busy))))),
% 13.61/9.35 inference(monotonicity,[status(thm)],[7431])).
% 13.61/9.35 tff(7433,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 13.61/9.35 inference(transitivity,[status(thm)],[7432, 7430])).
% 13.61/9.35 tff(7434,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7435,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7434, 7433])).
% 13.61/9.35 tff(7436,plain,
% 13.61/9.35 (~m_main_v_state(s102, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7435, 85, 7429])).
% 13.61/9.35 tff(7437,plain,
% 13.61/9.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7438,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7439,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7438, 7437])).
% 13.61/9.35 tff(7440,plain,
% 13.61/9.35 ($false),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7439, 102, 7436, 7428])).
% 13.61/9.35 tff(7441,plain,((~node4(s102)) | m_main_v_state(s103, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.35 tff(7442,plain,
% 13.61/9.35 (~node4(s102)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7441, 7413])).
% 13.61/9.35 tff(7443,plain,
% 13.61/9.35 (always3(s103)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7405, 6609, 4868])).
% 13.61/9.35 tff(7444,plain,
% 13.61/9.35 (succ(s103, s104) <=> succ(s103, s104)),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7445,axiom,(succ(s103, s104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound104')).
% 13.61/9.35 tff(7446,plain,
% 13.61/9.35 (succ(s103, s104)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7445, 7444])).
% 13.61/9.35 tff(7447,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7448,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7449,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 13.61/9.35 tff(7450,plain,
% 13.61/9.35 (trans(s103, s104)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7449, 7446, 52])).
% 13.61/9.35 tff(7451,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s103, s104)) | (~always3(s103)) | always3(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s103, s104)) | (~always3(s103)) | always3(s104))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7452,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s103, s104)) | (~always3(s103)) | always3(s104))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7453,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s103, s104)) | (~always3(s103)) | always3(s104)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 13.61/9.35 tff(7454,plain,
% 13.61/9.35 ((~always3(s103)) | always3(s104)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7453, 125, 7450])).
% 13.61/9.35 tff(7455,plain,
% 13.61/9.35 (always3(s104)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7454, 7443])).
% 13.61/9.35 tff(7456,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s104)) | (~m_main_v_state(s104, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s104)) | (~m_main_v_state(s104, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7457,plain,
% 13.61/9.35 (((~m_main_v_state(s104, c_busy)) | (~always3(s104))) <=> ((~always3(s104)) | (~m_main_v_state(s104, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7458,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s104, c_busy)) | (~always3(s104)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s104)) | (~m_main_v_state(s104, c_busy))))),
% 13.61/9.35 inference(monotonicity,[status(thm)],[7457])).
% 13.61/9.35 tff(7459,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s104, c_busy)) | (~always3(s104)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s104)) | (~m_main_v_state(s104, c_busy)))),
% 13.61/9.35 inference(transitivity,[status(thm)],[7458, 7456])).
% 13.61/9.35 tff(7460,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s104, c_busy)) | (~always3(s104)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7461,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s104)) | (~m_main_v_state(s104, c_busy))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7460, 7459])).
% 13.61/9.35 tff(7462,plain,
% 13.61/9.35 (~m_main_v_state(s104, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7461, 85, 7455])).
% 13.61/9.35 tff(7463,assumption,(until5(s103)), introduced(assumption)).
% 13.61/9.35 tff(7464,plain,
% 13.61/9.35 (xuntil6(s103) | node4(s103)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7103, 294, 7463])).
% 13.61/9.35 tff(7465,plain,
% 13.61/9.35 (node4(s103)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7464, 6609])).
% 13.61/9.35 tff(7466,plain,
% 13.61/9.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s103) | (~node4(s103)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s103) | (~node4(s103)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7467,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s103) | (~node4(s103)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7468,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s103) | (~node4(s103))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7467, 7466])).
% 13.61/9.35 tff(7469,plain,
% 13.61/9.35 (m_main_v_request(s103)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7468, 21, 7465])).
% 13.61/9.35 tff(7470,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s103, s104)) | node2(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s103, s104)) | node2(s103, s104))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7471,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s103, s104)) | node2(s103, s104))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7472,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s103, s104)) | node2(s103, s104)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7471, 7470])).
% 13.61/9.35 tff(7473,plain,
% 13.61/9.35 (node2(s103, s104)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7472, 7, 7450])).
% 13.61/9.35 tff(7474,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7475,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7476,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7475, 7474])).
% 13.61/9.35 tff(7477,plain,
% 13.61/9.35 ((~m_main_v_state(s103, c_ready)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7476, 73, 7473])).
% 13.61/9.35 tff(7478,plain,
% 13.61/9.35 (~m_main_v_state(s103, c_ready)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7477, 7469, 7462])).
% 13.61/9.35 tff(7479,plain,
% 13.61/9.35 (~m_main_v_state(s103, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7412, 85, 7443])).
% 13.61/9.35 tff(7480,plain,
% 13.61/9.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7481,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7482,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 13.61/9.35 tff(7483,plain,
% 13.61/9.35 ($false),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7482, 102, 7479, 7478])).
% 13.61/9.35 tff(7484,plain,(xuntil6(s103) | (~until5(s103)) | (~until5(s65))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.35 tff(7485,plain,
% 13.61/9.35 (~until5(s103)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7484, 6813, 6609])).
% 13.61/9.35 tff(7486,plain,
% 13.61/9.35 (~xuntil6(s102)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7109, 7485])).
% 13.61/9.35 tff(7487,plain,
% 13.61/9.35 (node4(s102) | (~until5(s102))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7116, 294, 7486])).
% 13.61/9.35 tff(7488,plain,
% 13.61/9.35 (~until5(s102)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7487, 7442])).
% 13.61/9.35 tff(7489,plain,
% 13.61/9.35 (~xuntil6(s101)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7124, 7488])).
% 13.61/9.35 tff(7490,assumption,(node4(s101)), introduced(assumption)).
% 13.61/9.35 tff(7491,plain,
% 13.61/9.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s101) | (~node4(s101)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s101) | (~node4(s101)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7492,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s101) | (~node4(s101)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7493,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s101) | (~node4(s101))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 13.61/9.35 tff(7494,plain,
% 13.61/9.35 (m_main_v_request(s101)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7493, 21, 7490])).
% 13.61/9.35 tff(7495,plain,
% 13.61/9.35 (always3(s101)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7137, 36, 7490])).
% 13.61/9.35 tff(7496,plain,
% 13.61/9.35 (always3(s102)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7133, 7495])).
% 13.61/9.35 tff(7497,plain,
% 13.61/9.35 (~m_main_v_state(s102, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7435, 85, 7496])).
% 13.61/9.35 tff(7498,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s101, s102)) | node2(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s101, s102)) | node2(s101, s102))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7499,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s101, s102)) | node2(s101, s102))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7500,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s101, s102)) | node2(s101, s102)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 13.61/9.35 tff(7501,plain,
% 13.61/9.35 (node2(s101, s102)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7500, 7, 7129])).
% 13.61/9.35 tff(7502,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7503,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7504,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7503, 7502])).
% 13.61/9.35 tff(7505,plain,
% 13.61/9.35 ((~m_main_v_state(s101, c_ready)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7504, 73, 7501])).
% 13.61/9.35 tff(7506,plain,
% 13.61/9.35 (~m_main_v_state(s101, c_ready)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7505, 7497, 7494])).
% 13.61/9.35 tff(7507,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s101)) | (~m_main_v_state(s101, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7508,plain,
% 13.61/9.35 (((~m_main_v_state(s101, c_busy)) | (~always3(s101))) <=> ((~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7509,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s101)) | (~m_main_v_state(s101, c_busy))))),
% 13.61/9.35 inference(monotonicity,[status(thm)],[7508])).
% 13.61/9.35 tff(7510,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 13.61/9.35 inference(transitivity,[status(thm)],[7509, 7507])).
% 13.61/9.35 tff(7511,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7512,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 13.61/9.35 tff(7513,plain,
% 13.61/9.35 (~m_main_v_state(s101, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7512, 85, 7495])).
% 13.61/9.35 tff(7514,plain,
% 13.61/9.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7515,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7516,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 13.61/9.35 tff(7517,plain,
% 13.61/9.35 ($false),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7516, 102, 7513, 7506])).
% 13.61/9.35 tff(7518,plain,(~node4(s101)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.35 tff(7519,plain,
% 13.61/9.35 (xuntil6(s101) | (~until5(s101))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7144, 294, 7518])).
% 13.61/9.35 tff(7520,plain,
% 13.61/9.35 (~until5(s101)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7519, 7489])).
% 13.61/9.35 tff(7521,plain,
% 13.61/9.35 (~xuntil6(s100)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7153, 7520])).
% 13.61/9.35 tff(7522,assumption,(~always3(s100)), introduced(assumption)).
% 13.61/9.35 tff(7523,plain,
% 13.61/9.35 (~node4(s100)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7166, 36, 7522])).
% 13.61/9.35 tff(7524,assumption,(~xuntil6(s100)), introduced(assumption)).
% 13.61/9.35 tff(7525,plain,
% 13.61/9.35 (node4(s100) | (~until5(s100))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7173, 294, 7524])).
% 13.61/9.35 tff(7526,plain,
% 13.61/9.35 (~until5(s100)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7525, 7523])).
% 13.61/9.35 tff(7527,plain,
% 13.61/9.35 (~xuntil6(s99)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7182, 7526])).
% 13.61/9.35 tff(7528,plain,
% 13.61/9.35 (~always3(s99)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7191, 7522])).
% 13.61/9.35 tff(7529,plain,
% 13.61/9.35 (~always3(s98)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7220, 7528])).
% 13.61/9.35 tff(7530,plain,
% 13.61/9.35 (~node4(s98)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7224, 36, 7529])).
% 13.61/9.35 tff(7531,assumption,(until5(s98)), introduced(assumption)).
% 13.61/9.35 tff(7532,plain,
% 13.61/9.35 (xuntil6(s98) | node4(s98)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7231, 294, 7531])).
% 13.61/9.35 tff(7533,plain,
% 13.61/9.35 (xuntil6(s98)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7532, 7530])).
% 13.61/9.35 tff(7534,plain,
% 13.61/9.35 (until5(s99)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7211, 7533])).
% 13.61/9.35 tff(7535,assumption,(node4(s99)), introduced(assumption)).
% 13.61/9.35 tff(7536,plain,
% 13.61/9.35 (((~![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)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7537,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s99) | (~node4(s99)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7538,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s99) | (~node4(s99))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 13.61/9.35 tff(7539,plain,
% 13.61/9.35 (m_main_v_request(s99)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7538, 21, 7535])).
% 13.61/9.35 tff(7540,plain,
% 13.61/9.35 (always3(s99)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7195, 36, 7535])).
% 13.61/9.35 tff(7541,plain,
% 13.61/9.35 (always3(s100)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7191, 7540])).
% 13.61/9.35 tff(7542,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s100)) | (~m_main_v_state(s100, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7543,plain,
% 13.61/9.35 (((~m_main_v_state(s100, c_busy)) | (~always3(s100))) <=> ((~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7544,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s100)) | (~m_main_v_state(s100, c_busy))))),
% 13.61/9.35 inference(monotonicity,[status(thm)],[7543])).
% 13.61/9.35 tff(7545,plain,
% 13.61/9.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 13.61/9.35 inference(transitivity,[status(thm)],[7544, 7542])).
% 13.61/9.35 tff(7546,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7547,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7546, 7545])).
% 13.61/9.35 tff(7548,plain,
% 13.61/9.35 (~m_main_v_state(s100, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7547, 85, 7541])).
% 13.61/9.35 tff(7549,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s100)) | node2(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s100)) | node2(s99, s100))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7550,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s100)) | node2(s99, s100))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7551,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s100)) | node2(s99, s100)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7550, 7549])).
% 13.61/9.35 tff(7552,plain,
% 13.61/9.35 (node2(s99, s100)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7551, 7, 7187])).
% 13.61/9.35 tff(7553,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, 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_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7554,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7555,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7554, 7553])).
% 13.61/9.35 tff(7556,plain,
% 13.61/9.35 ((~m_main_v_state(s99, c_ready)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7555, 73, 7552])).
% 13.61/9.35 tff(7557,plain,
% 13.61/9.35 (~m_main_v_state(s99, c_ready)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7556, 7548, 7539])).
% 13.61/9.35 tff(7558,plain,
% 13.61/9.35 (((~![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)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7559,plain,
% 13.61/9.35 (((~m_main_v_state(s99, c_busy)) | (~always3(s99))) <=> ((~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7560,plain,
% 13.61/9.35 (((~![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))))),
% 13.61/9.35 inference(monotonicity,[status(thm)],[7559])).
% 13.61/9.35 tff(7561,plain,
% 13.61/9.35 (((~![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)))),
% 13.61/9.35 inference(transitivity,[status(thm)],[7560, 7558])).
% 13.61/9.35 tff(7562,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7563,plain,
% 13.61/9.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7562, 7561])).
% 13.61/9.35 tff(7564,plain,
% 13.61/9.35 (~m_main_v_state(s99, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7563, 85, 7540])).
% 13.61/9.35 tff(7565,plain,
% 13.61/9.35 (((~![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))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7566,plain,
% 13.61/9.35 ((~![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))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7567,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7566, 7565])).
% 13.61/9.35 tff(7568,plain,
% 13.61/9.35 ($false),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7567, 102, 7564, 7557])).
% 13.61/9.35 tff(7569,plain,(~node4(s99)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.35 tff(7570,plain,
% 13.61/9.35 (xuntil6(s99) | (~until5(s99))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7202, 294, 7569])).
% 13.61/9.35 tff(7571,plain,
% 13.61/9.35 ($false),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7570, 7534, 7527])).
% 13.61/9.35 tff(7572,plain,(always3(s100) | (~until5(s98)) | xuntil6(s100)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.35 tff(7573,plain,
% 13.61/9.35 (always3(s100)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7572, 7521, 7076])).
% 13.61/9.35 tff(7574,plain,
% 13.61/9.35 (always3(s101)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7162, 7573])).
% 13.61/9.35 tff(7575,plain,
% 13.61/9.35 (~m_main_v_state(s101, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7512, 85, 7574])).
% 13.61/9.35 tff(7576,assumption,(node4(s98)), introduced(assumption)).
% 13.61/9.35 tff(7577,plain,
% 13.61/9.35 (((~![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)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7578,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s98) | (~node4(s98)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7579,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s98) | (~node4(s98))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7578, 7577])).
% 13.61/9.35 tff(7580,plain,
% 13.61/9.35 (m_main_v_request(s98)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7579, 21, 7576])).
% 13.61/9.35 tff(7581,plain,
% 13.61/9.35 (always3(s98)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7224, 36, 7576])).
% 13.61/9.35 tff(7582,plain,
% 13.61/9.35 (always3(s99)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7220, 7581])).
% 13.61/9.35 tff(7583,plain,
% 13.61/9.35 (~m_main_v_state(s99, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7563, 85, 7582])).
% 13.61/9.35 tff(7584,plain,
% 13.61/9.35 (((~![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))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7585,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s98, s99)) | node2(s98, s99))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7586,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s98, s99)) | node2(s98, s99)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 13.61/9.35 tff(7587,plain,
% 13.61/9.35 (node2(s98, s99)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7586, 7, 7216])).
% 13.61/9.35 tff(7588,plain,
% 13.61/9.35 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7589,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7590,plain,
% 13.61/9.35 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 13.61/9.35 tff(7591,plain,
% 13.61/9.35 ((~m_main_v_state(s98, c_ready)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7590, 73, 7587])).
% 13.61/9.35 tff(7592,plain,
% 13.61/9.35 (~m_main_v_state(s98, c_ready)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7591, 7583, 7580])).
% 13.61/9.35 tff(7593,plain,
% 13.61/9.35 (~m_main_v_state(s98, c_busy)),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7023, 85, 7581])).
% 13.61/9.35 tff(7594,plain,
% 13.61/9.35 (((~![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))),
% 13.61/9.35 inference(rewrite,[status(thm)],[])).
% 13.61/9.35 tff(7595,plain,
% 13.61/9.35 ((~![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))),
% 13.61/9.35 inference(quant_inst,[status(thm)],[])).
% 13.61/9.35 tff(7596,plain,
% 13.61/9.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready)),
% 13.61/9.35 inference(modus_ponens,[status(thm)],[7595, 7594])).
% 13.61/9.35 tff(7597,plain,
% 13.61/9.35 ($false),
% 13.61/9.35 inference(unit_resolution,[status(thm)],[7596, 102, 7593, 7592])).
% 13.61/9.35 tff(7598,plain,(~node4(s98)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.35 tff(7599,plain,
% 13.61/9.35 (xuntil6(s98) | (~until5(s98))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7231, 294, 7598])).
% 13.61/9.36 tff(7600,plain,
% 13.61/9.36 (xuntil6(s98)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7599, 7076])).
% 13.61/9.36 tff(7601,plain,
% 13.61/9.36 (until5(s99)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7211, 7600])).
% 13.61/9.36 tff(7602,plain,
% 13.61/9.36 (xuntil6(s99)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7570, 7601])).
% 13.61/9.36 tff(7603,plain,
% 13.61/9.36 (until5(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7182, 7602])).
% 13.61/9.36 tff(7604,plain,
% 13.61/9.36 (xuntil6(s100) | node4(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7173, 294, 7603])).
% 13.61/9.36 tff(7605,plain,
% 13.61/9.36 (node4(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7604, 7521])).
% 13.61/9.36 tff(7606,plain,
% 13.61/9.36 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s100) | (~node4(s100)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s100) | (~node4(s100)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7607,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s100) | (~node4(s100)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7608,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s100) | (~node4(s100))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7607, 7606])).
% 13.61/9.36 tff(7609,plain,
% 13.61/9.36 (m_main_v_request(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7608, 21, 7605])).
% 13.61/9.36 tff(7610,plain,
% 13.61/9.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s100, s101)) | node2(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s100, s101)) | node2(s100, s101))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7611,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s100, s101)) | node2(s100, s101))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7612,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s100, s101)) | node2(s100, s101)),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 13.61/9.36 tff(7613,plain,
% 13.61/9.36 (node2(s100, s101)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7612, 7, 7158])).
% 13.61/9.36 tff(7614,plain,
% 13.61/9.36 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7615,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7616,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 13.61/9.36 tff(7617,plain,
% 13.61/9.36 ((~m_main_v_state(s100, c_ready)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7616, 73, 7613])).
% 13.61/9.36 tff(7618,plain,
% 13.61/9.36 (~m_main_v_state(s100, c_ready)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7617, 7609, 7575])).
% 13.61/9.36 tff(7619,plain,
% 13.61/9.36 (~m_main_v_state(s100, c_busy)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7547, 85, 7573])).
% 13.61/9.36 tff(7620,plain,
% 13.61/9.36 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7621,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7622,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready)),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7621, 7620])).
% 13.61/9.36 tff(7623,plain,
% 13.61/9.36 ($false),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7622, 102, 7619, 7618])).
% 13.61/9.36 tff(7624,plain,(always3(s95) | xuntil6(s103)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.36 tff(7625,plain,
% 13.61/9.36 (always3(s95)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7624, 6609])).
% 13.61/9.36 tff(7626,plain,
% 13.61/9.36 (always3(s96)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7252, 7625])).
% 13.61/9.36 tff(7627,plain,
% 13.61/9.36 (~m_main_v_state(s96, c_busy)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7064, 85, 7626])).
% 13.61/9.36 tff(7628,plain,
% 13.61/9.36 (always3(s97)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6978, 7626])).
% 13.61/9.36 tff(7629,plain,
% 13.61/9.36 (always3(s98)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7016, 7628])).
% 13.61/9.36 tff(7630,plain,
% 13.61/9.36 (always3(s99)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7220, 7629])).
% 13.61/9.36 tff(7631,plain,
% 13.61/9.36 (always3(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7191, 7630])).
% 13.61/9.36 tff(7632,plain,
% 13.61/9.36 (~m_main_v_state(s100, c_busy)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7547, 85, 7631])).
% 13.61/9.36 tff(7633,assumption,(~m_main_v_state(s100, c_ready)), introduced(assumption)).
% 13.61/9.36 tff(7634,assumption,(~m_main_v_state(s100, c_busy)), introduced(assumption)).
% 13.61/9.36 tff(7635,plain,
% 13.61/9.36 ($false),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7622, 102, 7634, 7633])).
% 13.61/9.36 tff(7636,plain,(m_main_v_state(s100, c_ready) | m_main_v_state(s100, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.36 tff(7637,plain,
% 13.61/9.36 (m_main_v_state(s100, c_ready)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7636, 7632])).
% 13.61/9.36 tff(7638,plain,
% 13.61/9.36 (always3(s101)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7162, 7631])).
% 13.61/9.36 tff(7639,plain,
% 13.61/9.36 (~m_main_v_state(s101, c_busy)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7512, 85, 7638])).
% 13.61/9.36 tff(7640,plain,
% 13.61/9.36 (~m_main_v_request(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7617, 7639, 7637])).
% 13.61/9.36 tff(7641,plain,
% 13.61/9.36 (~node4(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7608, 21, 7640])).
% 13.61/9.36 tff(7642,assumption,(~node4(s102)), introduced(assumption)).
% 13.61/9.36 tff(7643,plain,
% 13.61/9.36 (~until5(s103)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7484, 6609, 4868])).
% 13.61/9.36 tff(7644,plain,
% 13.61/9.36 (~xuntil6(s102)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7109, 7643])).
% 13.61/9.36 tff(7645,plain,
% 13.61/9.36 (~until5(s102)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7116, 294, 7644, 7642])).
% 13.61/9.36 tff(7646,plain,
% 13.61/9.36 (~xuntil6(s101)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7124, 7645])).
% 13.61/9.36 tff(7647,plain,
% 13.61/9.36 (~until5(s101)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7519, 7646])).
% 13.61/9.36 tff(7648,plain,
% 13.61/9.36 (~xuntil6(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7153, 7647])).
% 13.61/9.36 tff(7649,plain,
% 13.61/9.36 (node4(s100) | (~until5(s100))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7173, 294, 7648])).
% 13.61/9.36 tff(7650,plain,
% 13.61/9.36 (~until5(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7649, 7641])).
% 13.61/9.36 tff(7651,plain,
% 13.61/9.36 (~xuntil6(s99)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7182, 7650])).
% 13.61/9.36 tff(7652,plain,
% 13.61/9.36 (~until5(s99)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7570, 7651])).
% 13.61/9.36 tff(7653,plain,
% 13.61/9.36 (~xuntil6(s98)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7211, 7652])).
% 13.61/9.36 tff(7654,plain,
% 13.61/9.36 (~until5(s98)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7599, 7653])).
% 13.61/9.36 tff(7655,plain,
% 13.61/9.36 (~xuntil6(s97)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7075, 7654])).
% 13.61/9.36 tff(7656,plain,
% 13.61/9.36 (~until5(s96)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7070, 7655])).
% 13.61/9.36 tff(7657,plain,
% 13.61/9.36 (~xuntil6(s95)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6951, 7656])).
% 13.61/9.36 tff(7658,plain,
% 13.61/9.36 (xuntil6(s95) | node4(s95)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6942, 294, 6610])).
% 13.61/9.36 tff(7659,plain,
% 13.61/9.36 (node4(s95)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7658, 7657])).
% 13.61/9.36 tff(7660,plain,
% 13.61/9.36 (((~![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)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7661,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s95) | (~node4(s95)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7662,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s95) | (~node4(s95))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7661, 7660])).
% 13.61/9.36 tff(7663,plain,
% 13.61/9.36 (m_main_v_request(s95)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7662, 21, 7659])).
% 13.61/9.36 tff(7664,plain,
% 13.61/9.36 (((~![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))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7665,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s95, s96)) | node2(s95, s96))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7666,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s95, s96)) | node2(s95, s96)),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7665, 7664])).
% 13.61/9.36 tff(7667,plain,
% 13.61/9.36 (node2(s95, s96)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7666, 7, 7248])).
% 13.61/9.36 tff(7668,plain,
% 13.61/9.36 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7669,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7670,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 13.61/9.36 tff(7671,plain,
% 13.61/9.36 ((~m_main_v_state(s95, c_ready)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7670, 73, 7667])).
% 13.61/9.36 tff(7672,plain,
% 13.61/9.36 (~m_main_v_state(s95, c_ready)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7671, 7663, 7627])).
% 13.61/9.36 tff(7673,assumption,(~m_main_v_state(s95, c_busy)), introduced(assumption)).
% 13.61/9.36 tff(7674,assumption,(~m_main_v_state(s95, c_ready)), introduced(assumption)).
% 13.61/9.36 tff(7675,plain,
% 13.61/9.36 (((~![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))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7676,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s94, s95)) | node2(s94, s95))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7677,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s94, s95)) | node2(s94, s95)),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7676, 7675])).
% 13.61/9.36 tff(7678,plain,
% 13.61/9.36 (node2(s94, s95)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7677, 7, 6618])).
% 13.61/9.36 tff(7679,plain,
% 13.61/9.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s94, s95)) | m_main_v_state(s95, c_busy) | node1(s94) | m_main_v_state(s95, 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(s94, s95)) | m_main_v_state(s95, c_busy) | node1(s94) | m_main_v_state(s95, c_ready))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7680,plain,
% 13.61/9.36 ((node1(s94) | m_main_v_state(s95, c_ready) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy)) <=> ((~node2(s94, s95)) | m_main_v_state(s95, c_busy) | node1(s94) | m_main_v_state(s95, c_ready))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7681,plain,
% 13.61/9.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s94) | m_main_v_state(s95, c_ready) | (~node2(s94, s95)) | m_main_v_state(s95, 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(s94, s95)) | m_main_v_state(s95, c_busy) | node1(s94) | m_main_v_state(s95, c_ready)))),
% 13.61/9.36 inference(monotonicity,[status(thm)],[7680])).
% 13.61/9.36 tff(7682,plain,
% 13.61/9.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s94) | m_main_v_state(s95, c_ready) | (~node2(s94, s95)) | m_main_v_state(s95, 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(s94, s95)) | m_main_v_state(s95, c_busy) | node1(s94) | m_main_v_state(s95, c_ready))),
% 13.61/9.36 inference(transitivity,[status(thm)],[7681, 7679])).
% 13.61/9.36 tff(7683,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s94) | m_main_v_state(s95, c_ready) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7684,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | node1(s94) | m_main_v_state(s95, c_ready)),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7683, 7682])).
% 13.61/9.36 tff(7685,plain,
% 13.61/9.36 (m_main_v_state(s95, c_busy) | node1(s94) | m_main_v_state(s95, c_ready)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7684, 3551, 7678])).
% 13.61/9.36 tff(7686,plain,
% 13.61/9.36 (node1(s94)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7685, 7673, 7674])).
% 13.61/9.36 tff(7687,plain,
% 13.61/9.36 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s94, c_ready) | (~node1(s94)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s94, c_ready) | (~node1(s94)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7688,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s94, c_ready) | (~node1(s94)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7689,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s94, c_ready) | (~node1(s94))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 13.61/9.36 tff(7690,plain,
% 13.61/9.36 (m_main_v_state(s94, c_ready)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7689, 3581, 7686])).
% 13.61/9.36 tff(7691,plain,
% 13.61/9.36 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s94) | (~node1(s94)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s94) | (~node1(s94)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7692,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s94) | (~node1(s94)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7693,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s94) | (~node1(s94))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 13.61/9.36 tff(7694,plain,
% 13.61/9.36 (m_main_v_request(s94)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7693, 3568, 7686])).
% 13.61/9.36 tff(7695,plain,
% 13.61/9.36 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7696,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7697,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 13.61/9.36 tff(7698,plain,
% 13.61/9.36 ((~m_main_v_state(s94, c_ready)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7697, 73, 7678])).
% 13.61/9.36 tff(7699,plain,
% 13.61/9.36 ($false),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7698, 7694, 7690, 7673])).
% 13.61/9.36 tff(7700,plain,(m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.36 tff(7701,plain,
% 13.61/9.36 (m_main_v_state(s95, c_busy)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7700, 7672])).
% 13.61/9.36 tff(7702,plain,
% 13.61/9.36 (((~![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)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7703,plain,
% 13.61/9.36 (((~m_main_v_state(s95, c_busy)) | (~always3(s95))) <=> ((~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7704,plain,
% 13.61/9.36 (((~![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))))),
% 13.61/9.36 inference(monotonicity,[status(thm)],[7703])).
% 13.61/9.36 tff(7705,plain,
% 13.61/9.36 (((~![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)))),
% 13.61/9.36 inference(transitivity,[status(thm)],[7704, 7702])).
% 13.61/9.36 tff(7706,plain,
% 13.61/9.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7707,plain,
% 13.61/9.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7706, 7705])).
% 13.61/9.36 tff(7708,plain,
% 13.61/9.36 ($false),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7707, 85, 7625, 7701])).
% 13.61/9.36 tff(7709,plain,(xuntil6(s103) | (~until5(s95)) | node4(s102) | (~until5(s65))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.36 tff(7710,plain,
% 13.61/9.36 (node4(s102)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7709, 6609, 6610, 4868])).
% 13.61/9.36 tff(7711,plain,
% 13.61/9.36 (m_main_v_state(s103, c_busy)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7441, 7710])).
% 13.61/9.36 tff(7712,plain,
% 13.61/9.36 ($false),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7412, 85, 7443, 7711])).
% 13.61/9.36 tff(7713,plain,(xuntil6(s103) | (~until5(s95)) | (~until5(s65))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.36 tff(7714,plain,
% 13.61/9.36 (~until5(s95)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7713, 6609, 4868])).
% 13.61/9.36 tff(7715,plain,
% 13.61/9.36 (~xuntil6(s94)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6931, 7714])).
% 13.61/9.36 tff(7716,assumption,(until5(s94)), introduced(assumption)).
% 13.61/9.36 tff(7717,plain,
% 13.61/9.36 (xuntil6(s94) | node4(s94)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6925, 294, 7716])).
% 13.61/9.36 tff(7718,plain,
% 13.61/9.36 (node4(s94)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7717, 7715])).
% 13.61/9.36 tff(7719,assumption,(node4(s94)), introduced(assumption)).
% 13.61/9.36 tff(7720,plain,
% 13.61/9.36 (((~![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)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7721,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s94) | (~node4(s94)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7722,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s94) | (~node4(s94))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 13.61/9.36 tff(7723,plain,
% 13.61/9.36 (m_main_v_request(s94)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7722, 21, 7719])).
% 13.61/9.36 tff(7724,plain,
% 13.61/9.36 (~m_main_v_state(s94, c_ready)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7698, 7723, 7673])).
% 13.61/9.36 tff(7725,plain,
% 13.61/9.36 (always3(s94)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6918, 36, 7719])).
% 13.61/9.36 tff(7726,plain,
% 13.61/9.36 (~m_main_v_state(s94, c_busy)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6579, 85, 7725])).
% 13.61/9.36 tff(7727,plain,
% 13.61/9.36 (((~![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))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7728,plain,
% 13.61/9.36 ((~![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))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7729,plain,
% 13.61/9.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready)),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 13.61/9.36 tff(7730,plain,
% 13.61/9.36 ($false),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7729, 102, 7726, 7724])).
% 13.61/9.36 tff(7731,plain,((~node4(s94)) | m_main_v_state(s95, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.36 tff(7732,plain,
% 13.61/9.36 (m_main_v_state(s95, c_busy)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7731, 7718])).
% 13.61/9.36 tff(7733,plain,
% 13.61/9.36 ($false),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7707, 85, 7625, 7732])).
% 13.61/9.36 tff(7734,plain,(xuntil6(s103) | (~until5(s94)) | (~until5(s65))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.36 tff(7735,plain,
% 13.61/9.36 (xuntil6(s103) | (~until5(s94))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7734, 4787])).
% 13.61/9.36 tff(7736,plain,
% 13.61/9.36 (xuntil6(s103)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7735, 6608])).
% 13.61/9.36 tff(7737,plain,
% 13.61/9.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7738,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7739,plain,
% 13.61/9.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104)),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7738, 7737])).
% 13.61/9.36 tff(7740,plain,
% 13.61/9.36 ((~xuntil6(s103)) | until5(s104)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7739, 7446, 312])).
% 13.61/9.36 tff(7741,plain,
% 13.61/9.36 (until5(s104)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7740, 7736])).
% 13.61/9.36 tff(7742,assumption,(~xuntil6(s104)), introduced(assumption)).
% 13.61/9.36 tff(7743,assumption,(~always3(s104)), introduced(assumption)).
% 13.61/9.36 tff(7744,plain,
% 13.61/9.36 (~always3(s103)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7454, 7743])).
% 13.61/9.36 tff(7745,plain,
% 13.61/9.36 (~always3(s102)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7088, 7744])).
% 13.61/9.36 tff(7746,plain,
% 13.61/9.36 (~always3(s101)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7133, 7745])).
% 13.61/9.36 tff(7747,plain,
% 13.61/9.36 (~always3(s100)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7162, 7746])).
% 13.61/9.36 tff(7748,plain,
% 13.61/9.36 (~always3(s99)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7191, 7747])).
% 13.61/9.36 tff(7749,plain,
% 13.61/9.36 (~always3(s98)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7220, 7748])).
% 13.61/9.36 tff(7750,plain,
% 13.61/9.36 (~always3(s97)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7016, 7749])).
% 13.61/9.36 tff(7751,plain,
% 13.61/9.36 (~always3(s96)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6978, 7750])).
% 13.61/9.36 tff(7752,plain,
% 13.61/9.36 (~always3(s95)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7252, 7751])).
% 13.61/9.36 tff(7753,plain,
% 13.61/9.36 (~always3(s94)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6622, 7752])).
% 13.61/9.36 tff(7754,plain,
% 13.61/9.36 (~always3(s93)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6572, 7753])).
% 13.61/9.36 tff(7755,plain,
% 13.61/9.36 (~always3(s92)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6516, 7754])).
% 13.61/9.36 tff(7756,plain,
% 13.61/9.36 (~always3(s91)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6312, 7755])).
% 13.61/9.36 tff(7757,plain,
% 13.61/9.36 (~always3(s90)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5700, 7756])).
% 13.61/9.36 tff(7758,plain,
% 13.61/9.36 (~always3(s89)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5712, 7757])).
% 13.61/9.36 tff(7759,plain,
% 13.61/9.36 (~always3(s88)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5724, 7758])).
% 13.61/9.36 tff(7760,plain,
% 13.61/9.36 (~always3(s87)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5736, 7759])).
% 13.61/9.36 tff(7761,plain,
% 13.61/9.36 (~always3(s86)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5748, 7760])).
% 13.61/9.36 tff(7762,plain,
% 13.61/9.36 (~always3(s85)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5760, 7761])).
% 13.61/9.36 tff(7763,plain,
% 13.61/9.36 (~always3(s84)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5772, 7762])).
% 13.61/9.36 tff(7764,plain,
% 13.61/9.36 (~always3(s83)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5784, 7763])).
% 13.61/9.36 tff(7765,plain,
% 13.61/9.36 (~always3(s82)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5796, 7764])).
% 13.61/9.36 tff(7766,plain,
% 13.61/9.36 (~always3(s81)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[6219, 7765])).
% 13.61/9.36 tff(7767,plain,
% 13.61/9.36 (~always3(s80)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5627, 7766])).
% 13.61/9.36 tff(7768,plain,
% 13.61/9.36 (~always3(s79)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5571, 7767])).
% 13.61/9.36 tff(7769,plain,
% 13.61/9.36 (~always3(s78)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5515, 7768])).
% 13.61/9.36 tff(7770,plain,
% 13.61/9.36 (~always3(s77)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5459, 7769])).
% 13.61/9.36 tff(7771,plain,
% 13.61/9.36 (~always3(s76)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5403, 7770])).
% 13.61/9.36 tff(7772,plain,
% 13.61/9.36 (~always3(s75)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5347, 7771])).
% 13.61/9.36 tff(7773,plain,
% 13.61/9.36 (~always3(s74)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5291, 7772])).
% 13.61/9.36 tff(7774,plain,
% 13.61/9.36 (~always3(s73)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5235, 7773])).
% 13.61/9.36 tff(7775,plain,
% 13.61/9.36 (~always3(s72)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5179, 7774])).
% 13.61/9.36 tff(7776,plain,
% 13.61/9.36 (~always3(s71)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5123, 7775])).
% 13.61/9.36 tff(7777,plain,
% 13.61/9.36 (~always3(s70)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5067, 7776])).
% 13.61/9.36 tff(7778,plain,
% 13.61/9.36 (~always3(s69)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[5011, 7777])).
% 13.61/9.36 tff(7779,plain,
% 13.61/9.36 (~always3(s68)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4955, 7778])).
% 13.61/9.36 tff(7780,plain,
% 13.61/9.36 (~always3(s67)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4899, 7779])).
% 13.61/9.36 tff(7781,plain,
% 13.61/9.36 (~always3(s66)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4835, 7780])).
% 13.61/9.36 tff(7782,plain,
% 13.61/9.36 (~always3(s65)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[129, 7781])).
% 13.61/9.36 tff(7783,plain,
% 13.61/9.36 (~always3(s64)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4721, 7782])).
% 13.61/9.36 tff(7784,plain,
% 13.61/9.36 (~node4(s64)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4536, 36, 7783])).
% 13.61/9.36 tff(7785,plain,
% 13.61/9.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7786,plain,
% 13.61/9.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7787,plain,
% 13.61/9.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7786, 7785])).
% 13.61/9.36 tff(7788,plain,
% 13.61/9.36 (~node4(s104)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7787, 36, 7743])).
% 13.61/9.36 tff(7789,plain,
% 13.61/9.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s104) | node4(s104) | (~until5(s104)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7790,plain,
% 13.61/9.36 ((node4(s104) | (~until5(s104)) | xuntil6(s104)) <=> (xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 13.61/9.36 inference(rewrite,[status(thm)],[])).
% 13.61/9.36 tff(7791,plain,
% 13.61/9.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s104) | node4(s104) | (~until5(s104))))),
% 13.61/9.36 inference(monotonicity,[status(thm)],[7790])).
% 13.61/9.36 tff(7792,plain,
% 13.61/9.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 13.61/9.36 inference(transitivity,[status(thm)],[7791, 7789])).
% 13.61/9.36 tff(7793,plain,
% 13.61/9.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))),
% 13.61/9.36 inference(quant_inst,[status(thm)],[])).
% 13.61/9.36 tff(7794,plain,
% 13.61/9.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104))),
% 13.61/9.36 inference(modus_ponens,[status(thm)],[7793, 7792])).
% 13.61/9.36 tff(7795,plain,
% 13.61/9.36 (node4(s104) | (~until5(s104))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7794, 294, 7742])).
% 13.61/9.36 tff(7796,plain,
% 13.61/9.36 (~until5(s104)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7795, 7788])).
% 13.61/9.36 tff(7797,plain,
% 13.61/9.36 (~xuntil6(s103)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7740, 7796])).
% 13.61/9.36 tff(7798,plain,
% 13.61/9.36 (~until5(s65)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7405, 7797, 7744])).
% 13.61/9.36 tff(7799,plain,
% 13.61/9.36 (~xuntil6(s64)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4786, 7798])).
% 13.61/9.36 tff(7800,plain,
% 13.61/9.36 (~until5(s64)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4543, 294, 7799, 7784])).
% 13.61/9.36 tff(7801,plain,
% 13.61/9.36 (~xuntil6(s63)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4549, 7800])).
% 13.61/9.36 tff(7802,plain,
% 13.61/9.36 (~always3(s63)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4528, 7783])).
% 13.61/9.36 tff(7803,plain,
% 13.61/9.36 (~node4(s63)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4532, 36, 7802])).
% 13.61/9.36 tff(7804,plain,
% 13.61/9.36 (xuntil6(s63) | (~until5(s63))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4556, 294, 7803])).
% 13.61/9.36 tff(7805,plain,
% 13.61/9.36 (~until5(s63)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7804, 7801])).
% 13.61/9.36 tff(7806,plain,
% 13.61/9.36 (~xuntil6(s62)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4514, 7805])).
% 13.61/9.36 tff(7807,plain,
% 13.61/9.36 (~always3(s62)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4065, 7802])).
% 13.61/9.36 tff(7808,plain,
% 13.61/9.36 (~node4(s62)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3937, 36, 7807])).
% 13.61/9.36 tff(7809,plain,
% 13.61/9.36 (xuntil6(s62) | (~until5(s62))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3944, 294, 7808])).
% 13.61/9.36 tff(7810,plain,
% 13.61/9.36 (~until5(s62)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7809, 7806])).
% 13.61/9.36 tff(7811,plain,
% 13.61/9.36 (~xuntil6(s61)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3950, 7810])).
% 13.61/9.36 tff(7812,plain,
% 13.61/9.36 (~always3(s61)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3929, 7807])).
% 13.61/9.36 tff(7813,plain,
% 13.61/9.36 (~node4(s61)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3933, 36, 7812])).
% 13.61/9.36 tff(7814,plain,
% 13.61/9.36 (xuntil6(s61) | (~until5(s61))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3957, 294, 7813])).
% 13.61/9.36 tff(7815,plain,
% 13.61/9.36 (~until5(s61)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7814, 7811])).
% 13.61/9.36 tff(7816,plain,
% 13.61/9.36 (~xuntil6(s60)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4015, 7815])).
% 13.61/9.36 tff(7817,plain,
% 13.61/9.36 (~always3(s60)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3969, 7812])).
% 13.61/9.36 tff(7818,plain,
% 13.61/9.36 (~node4(s60)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3973, 36, 7817])).
% 13.61/9.36 tff(7819,plain,
% 13.61/9.36 (xuntil6(s60) | (~until5(s60))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4010, 294, 7818])).
% 13.61/9.36 tff(7820,plain,
% 13.61/9.36 (~until5(s60)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7819, 7816])).
% 13.61/9.36 tff(7821,plain,
% 13.61/9.36 (~xuntil6(s59)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[4003, 7820])).
% 13.61/9.36 tff(7822,plain,
% 13.61/9.36 (~always3(s59)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3985, 7817])).
% 13.61/9.36 tff(7823,plain,
% 13.61/9.36 (~node4(s59)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3989, 36, 7822])).
% 13.61/9.36 tff(7824,plain,
% 13.61/9.36 (xuntil6(s59) | (~until5(s59))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3997, 294, 7823])).
% 13.61/9.36 tff(7825,plain,
% 13.61/9.36 (~until5(s59)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7824, 7821])).
% 13.61/9.36 tff(7826,plain,
% 13.61/9.36 (~xuntil6(s58)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3916, 7825])).
% 13.61/9.36 tff(7827,plain,
% 13.61/9.36 (~always3(s58)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3735, 7822])).
% 13.61/9.36 tff(7828,plain,
% 13.61/9.36 (~node4(s58)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3874, 36, 7827])).
% 13.61/9.36 tff(7829,plain,
% 13.61/9.36 (xuntil6(s58) | (~until5(s58))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3910, 294, 7828])).
% 13.61/9.36 tff(7830,plain,
% 13.61/9.36 (~until5(s58)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7829, 7826])).
% 13.61/9.36 tff(7831,plain,
% 13.61/9.36 (~xuntil6(s57)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3865, 7830])).
% 13.61/9.36 tff(7832,plain,
% 13.61/9.36 (~always3(s57)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3747, 7827])).
% 13.61/9.36 tff(7833,plain,
% 13.61/9.36 (~node4(s57)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3852, 36, 7832])).
% 13.61/9.36 tff(7834,plain,
% 13.61/9.36 (xuntil6(s57) | (~until5(s57))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3859, 294, 7833])).
% 13.61/9.36 tff(7835,plain,
% 13.61/9.36 (~until5(s57)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7834, 7831])).
% 13.61/9.36 tff(7836,plain,
% 13.61/9.36 (~xuntil6(s56)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3848, 7835])).
% 13.61/9.36 tff(7837,plain,
% 13.61/9.36 (~always3(s56)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3759, 7832])).
% 13.61/9.36 tff(7838,plain,
% 13.61/9.36 (~node4(s56)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3835, 36, 7837])).
% 13.61/9.36 tff(7839,plain,
% 13.61/9.36 (xuntil6(s56) | (~until5(s56))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3842, 294, 7838])).
% 13.61/9.36 tff(7840,plain,
% 13.61/9.36 (~until5(s56)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7839, 7836])).
% 13.61/9.36 tff(7841,plain,
% 13.61/9.36 (~xuntil6(s55)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3721, 7840])).
% 13.61/9.36 tff(7842,plain,
% 13.61/9.36 (~always3(s55)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3686, 7837])).
% 13.61/9.36 tff(7843,plain,
% 13.61/9.36 (~node4(s55)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3674, 36, 7842])).
% 13.61/9.36 tff(7844,plain,
% 13.61/9.36 (xuntil6(s55) | (~until5(s55))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3715, 294, 7843])).
% 13.61/9.36 tff(7845,plain,
% 13.61/9.36 (~until5(s55)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7844, 7841])).
% 13.61/9.36 tff(7846,plain,
% 13.61/9.36 (~xuntil6(s54)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3665, 7845])).
% 13.61/9.36 tff(7847,plain,
% 13.61/9.36 (~always3(s54)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3630, 7842])).
% 13.61/9.36 tff(7848,plain,
% 13.61/9.36 (~node4(s54)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3618, 36, 7847])).
% 13.61/9.36 tff(7849,plain,
% 13.61/9.36 (xuntil6(s54) | (~until5(s54))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3659, 294, 7848])).
% 13.61/9.36 tff(7850,plain,
% 13.61/9.36 (~until5(s54)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7849, 7846])).
% 13.61/9.36 tff(7851,plain,
% 13.61/9.36 (~xuntil6(s53)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3609, 7850])).
% 13.61/9.36 tff(7852,plain,
% 13.61/9.36 (~always3(s53)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3530, 7847])).
% 13.61/9.36 tff(7853,plain,
% 13.61/9.36 (~node4(s53)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3518, 36, 7852])).
% 13.61/9.36 tff(7854,plain,
% 13.61/9.36 (xuntil6(s53) | (~until5(s53))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3603, 294, 7853])).
% 13.61/9.36 tff(7855,plain,
% 13.61/9.36 (~until5(s53)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7854, 7851])).
% 13.61/9.36 tff(7856,plain,
% 13.61/9.36 (~xuntil6(s52)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3509, 7855])).
% 13.61/9.36 tff(7857,plain,
% 13.61/9.36 (~always3(s52)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3474, 7852])).
% 13.61/9.36 tff(7858,plain,
% 13.61/9.36 (~node4(s52)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3462, 36, 7857])).
% 13.61/9.36 tff(7859,plain,
% 13.61/9.36 (xuntil6(s52) | (~until5(s52))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3503, 294, 7858])).
% 13.61/9.36 tff(7860,plain,
% 13.61/9.36 (~until5(s52)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7859, 7856])).
% 13.61/9.36 tff(7861,plain,
% 13.61/9.36 (~always3(s51)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3232, 7857])).
% 13.61/9.36 tff(7862,plain,
% 13.61/9.36 (~always3(s50)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3048, 7861])).
% 13.61/9.36 tff(7863,plain,
% 13.61/9.36 (~always3(s49)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3093, 7862])).
% 13.61/9.36 tff(7864,plain,
% 13.61/9.36 (~always3(s48)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3122, 7863])).
% 13.61/9.36 tff(7865,plain,
% 13.61/9.36 (~always3(s47)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3151, 7864])).
% 13.61/9.36 tff(7866,plain,
% 13.61/9.36 (~always3(s46)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3175, 7865])).
% 13.61/9.36 tff(7867,plain,
% 13.61/9.36 (~always3(s45)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3000, 7866])).
% 13.61/9.36 tff(7868,plain,
% 13.61/9.36 (~always3(s44)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2944, 7867])).
% 13.61/9.36 tff(7869,plain,
% 13.61/9.36 (~always3(s43)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2888, 7868])).
% 13.61/9.36 tff(7870,plain,
% 13.61/9.36 (~always3(s42)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2832, 7869])).
% 13.61/9.36 tff(7871,plain,
% 13.61/9.36 (~always3(s41)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2773, 7870])).
% 13.61/9.36 tff(7872,plain,
% 13.61/9.36 (~always3(s40)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2699, 7871])).
% 13.61/9.36 tff(7873,plain,
% 13.61/9.36 (~always3(s39)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2661, 7872])).
% 13.61/9.36 tff(7874,plain,
% 13.61/9.36 (~node4(s39)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2665, 36, 7873])).
% 13.61/9.36 tff(7875,plain,
% 13.61/9.36 (~always3(s38)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2599, 7873])).
% 13.61/9.36 tff(7876,plain,
% 13.61/9.36 (~node4(s38)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2587, 36, 7875])).
% 13.61/9.36 tff(7877,plain,
% 13.61/9.36 (~always3(s37)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1912, 7875])).
% 13.61/9.36 tff(7878,plain,
% 13.61/9.36 (~always3(s36)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1333, 7877])).
% 13.61/9.36 tff(7879,plain,
% 13.61/9.36 (~always3(s35)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1378, 7878])).
% 13.61/9.36 tff(7880,plain,
% 13.61/9.36 (~always3(s34)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1407, 7879])).
% 13.61/9.36 tff(7881,plain,
% 13.61/9.36 (~always3(s33)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1436, 7880])).
% 13.61/9.36 tff(7882,plain,
% 13.61/9.36 (~always3(s32)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[200, 7881])).
% 13.61/9.36 tff(7883,plain,
% 13.61/9.36 (~always3(s31)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1480, 7882])).
% 13.61/9.36 tff(7884,plain,
% 13.61/9.36 (~always3(s30)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[249, 7883])).
% 13.61/9.36 tff(7885,plain,
% 13.61/9.36 (~always3(s29)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1524, 7884])).
% 13.61/9.36 tff(7886,plain,
% 13.61/9.36 (~always3(s28)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[151, 7885])).
% 13.61/9.36 tff(7887,plain,
% 13.61/9.36 (~always3(s27)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1568, 7886])).
% 13.61/9.36 tff(7888,plain,
% 13.61/9.36 (~always3(s26)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1592, 7887])).
% 13.61/9.36 tff(7889,plain,
% 13.61/9.36 (~always3(s25)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1604, 7888])).
% 13.61/9.36 tff(7890,plain,
% 13.61/9.36 (~always3(s24)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1616, 7889])).
% 13.61/9.36 tff(7891,plain,
% 13.61/9.36 (~always3(s23)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1628, 7890])).
% 13.61/9.36 tff(7892,plain,
% 13.61/9.36 (~always3(s22)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1640, 7891])).
% 13.61/9.36 tff(7893,plain,
% 13.61/9.36 (~always3(s21)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1652, 7892])).
% 13.61/9.36 tff(7894,plain,
% 13.61/9.36 (~always3(s20)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1664, 7893])).
% 13.61/9.36 tff(7895,plain,
% 13.61/9.36 (~always3(s19)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1676, 7894])).
% 13.61/9.36 tff(7896,plain,
% 13.61/9.36 (~always3(s18)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1688, 7895])).
% 13.61/9.36 tff(7897,plain,
% 13.61/9.36 (~always3(s17)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1700, 7896])).
% 13.61/9.36 tff(7898,plain,
% 13.61/9.36 (~always3(s16)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1716, 7897])).
% 13.61/9.36 tff(7899,plain,
% 13.61/9.36 (~always3(s15)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1259, 7898])).
% 13.61/9.36 tff(7900,plain,
% 13.61/9.36 (xuntil6(s15)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1240, 7899])).
% 13.61/9.36 tff(7901,plain,
% 13.61/9.36 (until5(s16)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1318, 7900])).
% 13.61/9.36 tff(7902,plain,
% 13.61/9.36 (xuntil6(s37)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[1900, 7901, 7877])).
% 13.61/9.36 tff(7903,plain,
% 13.61/9.36 (until5(s38)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2578, 7902])).
% 13.61/9.36 tff(7904,plain,
% 13.61/9.36 (xuntil6(s38) | node4(s38)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2628, 294, 7903])).
% 13.61/9.36 tff(7905,plain,
% 13.61/9.36 (xuntil6(s38)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7904, 7876])).
% 13.61/9.36 tff(7906,plain,
% 13.61/9.36 (until5(s39)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2634, 7905])).
% 13.61/9.36 tff(7907,plain,
% 13.61/9.36 (xuntil6(s39)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2672, 294, 7906, 7874])).
% 13.61/9.36 tff(7908,plain,
% 13.61/9.36 (until5(s40)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2678, 7907])).
% 13.61/9.36 tff(7909,plain,
% 13.61/9.36 (~node4(s40)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2641, 36, 7872])).
% 13.61/9.36 tff(7910,plain,
% 13.61/9.36 (xuntil6(s40) | (~until5(s40))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2648, 294, 7909])).
% 13.61/9.36 tff(7911,plain,
% 13.61/9.36 (xuntil6(s40)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7910, 7908])).
% 13.61/9.36 tff(7912,plain,
% 13.61/9.36 (until5(s41)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2752, 7911])).
% 13.61/9.36 tff(7913,plain,
% 13.61/9.36 (~node4(s41)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2761, 36, 7871])).
% 13.61/9.36 tff(7914,plain,
% 13.61/9.36 (xuntil6(s41) | (~until5(s41))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2802, 294, 7913])).
% 13.61/9.36 tff(7915,plain,
% 13.61/9.36 (xuntil6(s41)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7914, 7912])).
% 13.61/9.36 tff(7916,plain,
% 13.61/9.36 (until5(s42)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2808, 7915])).
% 13.61/9.36 tff(7917,plain,
% 13.61/9.36 (~node4(s42)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2820, 36, 7870])).
% 13.61/9.36 tff(7918,plain,
% 13.61/9.36 (xuntil6(s42) | (~until5(s42))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2861, 294, 7917])).
% 13.61/9.36 tff(7919,plain,
% 13.61/9.36 (xuntil6(s42)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7918, 7916])).
% 13.61/9.36 tff(7920,plain,
% 13.61/9.36 (until5(s43)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2867, 7919])).
% 13.61/9.36 tff(7921,plain,
% 13.61/9.36 (~node4(s43)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2876, 36, 7869])).
% 13.61/9.36 tff(7922,plain,
% 13.61/9.36 (xuntil6(s43) | (~until5(s43))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2917, 294, 7921])).
% 13.61/9.36 tff(7923,plain,
% 13.61/9.36 (xuntil6(s43)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7922, 7920])).
% 13.61/9.36 tff(7924,plain,
% 13.61/9.36 (until5(s44)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2923, 7923])).
% 13.61/9.36 tff(7925,plain,
% 13.61/9.36 (~node4(s44)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2932, 36, 7868])).
% 13.61/9.36 tff(7926,plain,
% 13.61/9.36 (xuntil6(s44) | (~until5(s44))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2973, 294, 7925])).
% 13.61/9.36 tff(7927,plain,
% 13.61/9.36 (xuntil6(s44)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7926, 7924])).
% 13.61/9.36 tff(7928,plain,
% 13.61/9.36 (until5(s45)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2979, 7927])).
% 13.61/9.36 tff(7929,plain,
% 13.61/9.36 (~node4(s45)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[2988, 36, 7867])).
% 13.61/9.36 tff(7930,plain,
% 13.61/9.36 (xuntil6(s45) | (~until5(s45))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3029, 294, 7929])).
% 13.61/9.36 tff(7931,plain,
% 13.61/9.36 (xuntil6(s45)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7930, 7928])).
% 13.61/9.36 tff(7932,plain,
% 13.61/9.36 (until5(s46)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3035, 7931])).
% 13.61/9.36 tff(7933,plain,
% 13.61/9.36 (~node4(s46)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3198, 36, 7866])).
% 13.61/9.36 tff(7934,plain,
% 13.61/9.36 (xuntil6(s46) | (~until5(s46))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3205, 294, 7933])).
% 13.61/9.36 tff(7935,plain,
% 13.61/9.36 (xuntil6(s46)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7934, 7932])).
% 13.61/9.36 tff(7936,plain,
% 13.61/9.36 (until5(s47)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3211, 7935])).
% 13.61/9.36 tff(7937,plain,
% 13.61/9.36 (~node4(s47)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3155, 36, 7865])).
% 13.61/9.36 tff(7938,plain,
% 13.61/9.36 (xuntil6(s47) | (~until5(s47))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3162, 294, 7937])).
% 13.61/9.36 tff(7939,plain,
% 13.61/9.36 (xuntil6(s47)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7938, 7936])).
% 13.61/9.36 tff(7940,plain,
% 13.61/9.36 (until5(s48)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3142, 7939])).
% 13.61/9.36 tff(7941,plain,
% 13.61/9.36 (~node4(s48)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3126, 36, 7864])).
% 13.61/9.36 tff(7942,plain,
% 13.61/9.36 (xuntil6(s48) | (~until5(s48))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3133, 294, 7941])).
% 13.61/9.36 tff(7943,plain,
% 13.61/9.36 (xuntil6(s48)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7942, 7940])).
% 13.61/9.36 tff(7944,plain,
% 13.61/9.36 (until5(s49)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3113, 7943])).
% 13.61/9.36 tff(7945,plain,
% 13.61/9.36 (~node4(s49)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3097, 36, 7863])).
% 13.61/9.36 tff(7946,plain,
% 13.61/9.36 (xuntil6(s49) | (~until5(s49))),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[3104, 294, 7945])).
% 13.61/9.36 tff(7947,plain,
% 13.61/9.36 (xuntil6(s49)),
% 13.61/9.36 inference(unit_resolution,[status(thm)],[7946, 7944])).
% 13.61/9.36 tff(7948,plain,
% 13.61/9.36 (until5(s50)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[3084, 7947])).
% 13.61/9.37 tff(7949,plain,
% 13.61/9.37 (~node4(s50)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[3052, 36, 7862])).
% 13.61/9.37 tff(7950,plain,
% 13.61/9.37 (xuntil6(s50) | (~until5(s50))),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[3076, 294, 7949])).
% 13.61/9.37 tff(7951,plain,
% 13.61/9.37 (xuntil6(s50)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7950, 7948])).
% 13.61/9.37 tff(7952,plain,
% 13.61/9.37 (until5(s51)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[3069, 7951])).
% 13.61/9.37 tff(7953,plain,
% 13.61/9.37 (~node4(s51)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[3056, 36, 7861])).
% 13.61/9.37 tff(7954,plain,
% 13.61/9.37 (xuntil6(s51) | (~until5(s51))),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[3063, 294, 7953])).
% 13.61/9.37 tff(7955,plain,
% 13.61/9.37 (xuntil6(s51)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7954, 7952])).
% 13.61/9.37 tff(7956,plain,
% 13.61/9.37 ($false),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[3453, 7955, 7860])).
% 13.61/9.37 tff(7957,plain,(always3(s104) | xuntil6(s104)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.37 tff(7958,plain,
% 13.61/9.37 (always3(s104)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7957, 7742])).
% 13.61/9.37 tff(7959,plain,
% 13.61/9.37 (succ(s104, s105) <=> succ(s104, s105)),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7960,axiom,(succ(s104, s105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound105')).
% 13.61/9.37 tff(7961,plain,
% 13.61/9.37 (succ(s104, s105)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 13.61/9.37 tff(7962,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7963,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(7964,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[7963, 7962])).
% 13.61/9.37 tff(7965,plain,
% 13.61/9.37 (trans(s104, s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7964, 7961, 52])).
% 13.61/9.37 tff(7966,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s104, s105)) | (~always3(s104)) | always3(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s104, s105)) | (~always3(s104)) | always3(s105))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7967,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s104, s105)) | (~always3(s104)) | always3(s105))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(7968,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s104, s105)) | (~always3(s104)) | always3(s105)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[7967, 7966])).
% 13.61/9.37 tff(7969,plain,
% 13.61/9.37 ((~always3(s104)) | always3(s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7968, 125, 7965])).
% 13.61/9.37 tff(7970,plain,
% 13.61/9.37 (always3(s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7969, 7958])).
% 13.61/9.37 tff(7971,plain,
% 13.61/9.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s105)) | (~m_main_v_state(s105, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s105)) | (~m_main_v_state(s105, c_busy)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7972,plain,
% 13.61/9.37 (((~m_main_v_state(s105, c_busy)) | (~always3(s105))) <=> ((~always3(s105)) | (~m_main_v_state(s105, c_busy)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7973,plain,
% 13.61/9.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s105, c_busy)) | (~always3(s105)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s105)) | (~m_main_v_state(s105, c_busy))))),
% 13.61/9.37 inference(monotonicity,[status(thm)],[7972])).
% 13.61/9.37 tff(7974,plain,
% 13.61/9.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s105, c_busy)) | (~always3(s105)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s105)) | (~m_main_v_state(s105, c_busy)))),
% 13.61/9.37 inference(transitivity,[status(thm)],[7973, 7971])).
% 13.61/9.37 tff(7975,plain,
% 13.61/9.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s105, c_busy)) | (~always3(s105)))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(7976,plain,
% 13.61/9.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s105)) | (~m_main_v_state(s105, c_busy))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[7975, 7974])).
% 13.61/9.37 tff(7977,plain,
% 13.61/9.37 (~m_main_v_state(s105, c_busy)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7976, 85, 7970])).
% 13.61/9.37 tff(7978,assumption,(until5(s104)), introduced(assumption)).
% 13.61/9.37 tff(7979,plain,
% 13.61/9.37 (xuntil6(s104) | node4(s104)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7794, 294, 7978])).
% 13.61/9.37 tff(7980,plain,
% 13.61/9.37 (node4(s104)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7979, 7742])).
% 13.61/9.37 tff(7981,plain,
% 13.61/9.37 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s104) | (~node4(s104)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s104) | (~node4(s104)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7982,plain,
% 13.61/9.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s104) | (~node4(s104)))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(7983,plain,
% 13.61/9.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s104) | (~node4(s104))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 13.61/9.37 tff(7984,plain,
% 13.61/9.37 (m_main_v_request(s104)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7983, 21, 7980])).
% 13.61/9.37 tff(7985,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s104, s105)) | node2(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s104, s105)) | node2(s104, s105))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7986,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s104, s105)) | node2(s104, s105))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(7987,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s104, s105)) | node2(s104, s105)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 13.61/9.37 tff(7988,plain,
% 13.61/9.37 (node2(s104, s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7987, 7, 7965])).
% 13.61/9.37 tff(7989,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7990,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104)))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(7991,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 13.61/9.37 tff(7992,plain,
% 13.61/9.37 ((~m_main_v_state(s104, c_ready)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104))),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7991, 73, 7988])).
% 13.61/9.37 tff(7993,plain,
% 13.61/9.37 (~m_main_v_state(s104, c_ready)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7992, 7984, 7977])).
% 13.61/9.37 tff(7994,plain,
% 13.61/9.37 (~m_main_v_state(s104, c_busy)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7461, 85, 7958])).
% 13.61/9.37 tff(7995,plain,
% 13.61/9.37 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(7996,plain,
% 13.61/9.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(7997,plain,
% 13.61/9.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[7996, 7995])).
% 13.61/9.37 tff(7998,plain,
% 13.61/9.37 ($false),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7997, 102, 7994, 7993])).
% 13.61/9.37 tff(7999,plain,(xuntil6(s104) | (~until5(s104))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.37 tff(8000,plain,
% 13.61/9.37 (xuntil6(s104)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[7999, 7741])).
% 13.61/9.37 tff(8001,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8002,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8003,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 13.61/9.37 tff(8004,plain,
% 13.61/9.37 ((~xuntil6(s104)) | until5(s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8003, 7961, 312])).
% 13.61/9.37 tff(8005,plain,
% 13.61/9.37 (until5(s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8004, 8000])).
% 13.61/9.37 tff(8006,assumption,(until5(s105)), introduced(assumption)).
% 13.61/9.37 tff(8007,assumption,(~xuntil6(s109)), introduced(assumption)).
% 13.61/9.37 tff(8008,assumption,(~always3(s109)), introduced(assumption)).
% 13.61/9.37 tff(8009,plain,
% 13.61/9.37 (succ(s108, s109) <=> succ(s108, s109)),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8010,axiom,(succ(s108, s109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound109')).
% 13.61/9.37 tff(8011,plain,
% 13.61/9.37 (succ(s108, s109)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 13.61/9.37 tff(8012,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8013,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8014,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8013, 8012])).
% 13.61/9.37 tff(8015,plain,
% 13.61/9.37 (trans(s108, s109)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8014, 8011, 52])).
% 13.61/9.37 tff(8016,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s108, s109)) | (~always3(s108)) | always3(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s108, s109)) | (~always3(s108)) | always3(s109))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8017,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s108, s109)) | (~always3(s108)) | always3(s109))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8018,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s108, s109)) | (~always3(s108)) | always3(s109)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 13.61/9.37 tff(8019,plain,
% 13.61/9.37 ((~always3(s108)) | always3(s109)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8018, 125, 8015])).
% 13.61/9.37 tff(8020,plain,
% 13.61/9.37 (~always3(s108)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8019, 8008])).
% 13.61/9.37 tff(8021,plain,
% 13.61/9.37 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s108) | (~node4(s108)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8022,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s108) | (~node4(s108)))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8023,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 13.61/9.37 tff(8024,plain,
% 13.61/9.37 (~node4(s108)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8023, 36, 8020])).
% 13.61/9.37 tff(8025,plain,
% 13.61/9.37 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8026,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8027,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 13.61/9.37 tff(8028,plain,
% 13.61/9.37 (~node4(s109)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8027, 36, 8008])).
% 13.61/9.37 tff(8029,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s109) | node4(s109) | (~until5(s109)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8030,plain,
% 13.61/9.37 ((node4(s109) | (~until5(s109)) | xuntil6(s109)) <=> (xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8031,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s109) | node4(s109) | (~until5(s109))))),
% 13.61/9.37 inference(monotonicity,[status(thm)],[8030])).
% 13.61/9.37 tff(8032,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 13.61/9.37 inference(transitivity,[status(thm)],[8031, 8029])).
% 13.61/9.37 tff(8033,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8034,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 13.61/9.37 tff(8035,plain,
% 13.61/9.37 (node4(s109) | (~until5(s109))),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8034, 294, 8007])).
% 13.61/9.37 tff(8036,plain,
% 13.61/9.37 (~until5(s109)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8035, 8028])).
% 13.61/9.37 tff(8037,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8038,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8039,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8038, 8037])).
% 13.61/9.37 tff(8040,plain,
% 13.61/9.37 ((~xuntil6(s108)) | until5(s109)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8039, 8011, 312])).
% 13.61/9.37 tff(8041,plain,
% 13.61/9.37 (~xuntil6(s108)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8040, 8036])).
% 13.61/9.37 tff(8042,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s108) | node4(s108) | (~until5(s108)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8043,plain,
% 13.61/9.37 ((node4(s108) | (~until5(s108)) | xuntil6(s108)) <=> (xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8044,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s108) | (~until5(s108)) | xuntil6(s108))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s108) | node4(s108) | (~until5(s108))))),
% 13.61/9.37 inference(monotonicity,[status(thm)],[8043])).
% 13.61/9.37 tff(8045,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s108) | (~until5(s108)) | xuntil6(s108))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 13.61/9.37 inference(transitivity,[status(thm)],[8044, 8042])).
% 13.61/9.37 tff(8046,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s108) | (~until5(s108)) | xuntil6(s108))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8047,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 13.61/9.37 tff(8048,plain,
% 13.61/9.37 (~until5(s108)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8047, 294, 8041, 8024])).
% 13.61/9.37 tff(8049,plain,
% 13.61/9.37 (succ(s107, s108) <=> succ(s107, s108)),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8050,axiom,(succ(s107, s108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound108')).
% 13.61/9.37 tff(8051,plain,
% 13.61/9.37 (succ(s107, s108)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8050, 8049])).
% 13.61/9.37 tff(8052,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8053,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8054,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 13.61/9.37 tff(8055,plain,
% 13.61/9.37 ((~xuntil6(s107)) | until5(s108)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8054, 8051, 312])).
% 13.61/9.37 tff(8056,plain,
% 13.61/9.37 (~xuntil6(s107)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8055, 8048])).
% 13.61/9.37 tff(8057,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8058,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8059,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 13.61/9.37 tff(8060,plain,
% 13.61/9.37 (trans(s107, s108)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8059, 8051, 52])).
% 13.61/9.37 tff(8061,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s107, s108)) | (~always3(s107)) | always3(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s107, s108)) | (~always3(s107)) | always3(s108))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8062,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s107, s108)) | (~always3(s107)) | always3(s108))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8063,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s107, s108)) | (~always3(s107)) | always3(s108)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 13.61/9.37 tff(8064,plain,
% 13.61/9.37 ((~always3(s107)) | always3(s108)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8063, 125, 8060])).
% 13.61/9.37 tff(8065,plain,
% 13.61/9.37 (~always3(s107)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8064, 8020])).
% 13.61/9.37 tff(8066,plain,
% 13.61/9.37 (succ(s106, s107) <=> succ(s106, s107)),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8067,axiom,(succ(s106, s107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound107')).
% 13.61/9.37 tff(8068,plain,
% 13.61/9.37 (succ(s106, s107)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8067, 8066])).
% 13.61/9.37 tff(8069,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8070,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8071,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 13.61/9.37 tff(8072,plain,
% 13.61/9.37 (trans(s106, s107)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8071, 8068, 52])).
% 13.61/9.37 tff(8073,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s106, s107)) | (~always3(s106)) | always3(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s106, s107)) | (~always3(s106)) | always3(s107))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8074,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s106, s107)) | (~always3(s106)) | always3(s107))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8075,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s106, s107)) | (~always3(s106)) | always3(s107)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 13.61/9.37 tff(8076,plain,
% 13.61/9.37 ((~always3(s106)) | always3(s107)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8075, 125, 8072])).
% 13.61/9.37 tff(8077,plain,
% 13.61/9.37 (~always3(s106)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8076, 8065])).
% 13.61/9.37 tff(8078,plain,
% 13.61/9.37 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s106) | (~node4(s106)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s106) | (~node4(s106)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8079,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s106) | (~node4(s106)))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8080,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s106) | (~node4(s106))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8079, 8078])).
% 13.61/9.37 tff(8081,plain,
% 13.61/9.37 (~node4(s106)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8080, 36, 8077])).
% 13.61/9.37 tff(8082,plain,
% 13.61/9.37 (succ(s105, s106) <=> succ(s105, s106)),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8083,axiom,(succ(s105, s106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound106')).
% 13.61/9.37 tff(8084,plain,
% 13.61/9.37 (succ(s105, s106)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8083, 8082])).
% 13.61/9.37 tff(8085,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8086,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8087,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 13.61/9.37 tff(8088,plain,
% 13.61/9.37 (trans(s105, s106)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8087, 8084, 52])).
% 13.61/9.37 tff(8089,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s105, s106)) | (~always3(s105)) | always3(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s105, s106)) | (~always3(s105)) | always3(s106))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8090,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s105, s106)) | (~always3(s105)) | always3(s106))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8091,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s105, s106)) | (~always3(s105)) | always3(s106)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 13.61/9.37 tff(8092,plain,
% 13.61/9.37 ((~always3(s105)) | always3(s106)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8091, 125, 8088])).
% 13.61/9.37 tff(8093,plain,
% 13.61/9.37 (~always3(s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8092, 8077])).
% 13.61/9.37 tff(8094,plain,
% 13.61/9.37 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s105) | (~node4(s105)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s105) | (~node4(s105)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8095,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s105) | (~node4(s105)))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8096,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s105) | (~node4(s105))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 13.61/9.37 tff(8097,plain,
% 13.61/9.37 (~node4(s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8096, 36, 8093])).
% 13.61/9.37 tff(8098,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s105) | node4(s105) | (~until5(s105)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8099,plain,
% 13.61/9.37 ((node4(s105) | (~until5(s105)) | xuntil6(s105)) <=> (xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8100,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s105) | node4(s105) | (~until5(s105))))),
% 13.61/9.37 inference(monotonicity,[status(thm)],[8099])).
% 13.61/9.37 tff(8101,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 13.61/9.37 inference(transitivity,[status(thm)],[8100, 8098])).
% 13.61/9.37 tff(8102,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8103,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 13.61/9.37 tff(8104,plain,
% 13.61/9.37 (xuntil6(s105) | node4(s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8103, 294, 8006])).
% 13.61/9.37 tff(8105,plain,
% 13.61/9.37 (xuntil6(s105)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8104, 8097])).
% 13.61/9.37 tff(8106,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8107,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8108,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8107, 8106])).
% 13.61/9.37 tff(8109,plain,
% 13.61/9.37 ((~xuntil6(s105)) | until5(s106)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8108, 8084, 312])).
% 13.61/9.37 tff(8110,plain,
% 13.61/9.37 (until5(s106)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8109, 8105])).
% 13.61/9.37 tff(8111,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s106) | node4(s106) | (~until5(s106)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8112,plain,
% 13.61/9.37 ((node4(s106) | (~until5(s106)) | xuntil6(s106)) <=> (xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8113,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s106) | node4(s106) | (~until5(s106))))),
% 13.61/9.37 inference(monotonicity,[status(thm)],[8112])).
% 13.61/9.37 tff(8114,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 13.61/9.37 inference(transitivity,[status(thm)],[8113, 8111])).
% 13.61/9.37 tff(8115,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8116,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8115, 8114])).
% 13.61/9.37 tff(8117,plain,
% 13.61/9.37 (xuntil6(s106)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8116, 294, 8110, 8081])).
% 13.61/9.37 tff(8118,plain,
% 13.61/9.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8119,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8120,plain,
% 13.61/9.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107)),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8119, 8118])).
% 13.61/9.37 tff(8121,plain,
% 13.61/9.37 ((~xuntil6(s106)) | until5(s107)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8120, 8068, 312])).
% 13.61/9.37 tff(8122,plain,
% 13.61/9.37 (until5(s107)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8121, 8117])).
% 13.61/9.37 tff(8123,plain,
% 13.61/9.37 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s107) | (~node4(s107)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s107) | (~node4(s107)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8124,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s107) | (~node4(s107)))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8125,plain,
% 13.61/9.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s107) | (~node4(s107))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8124, 8123])).
% 13.61/9.37 tff(8126,plain,
% 13.61/9.37 (~node4(s107)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8125, 36, 8065])).
% 13.61/9.37 tff(8127,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s107) | node4(s107) | (~until5(s107)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8128,plain,
% 13.61/9.37 ((node4(s107) | (~until5(s107)) | xuntil6(s107)) <=> (xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 13.61/9.37 inference(rewrite,[status(thm)],[])).
% 13.61/9.37 tff(8129,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s107) | node4(s107) | (~until5(s107))))),
% 13.61/9.37 inference(monotonicity,[status(thm)],[8128])).
% 13.61/9.37 tff(8130,plain,
% 13.61/9.37 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 13.61/9.37 inference(transitivity,[status(thm)],[8129, 8127])).
% 13.61/9.37 tff(8131,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))),
% 13.61/9.37 inference(quant_inst,[status(thm)],[])).
% 13.61/9.37 tff(8132,plain,
% 13.61/9.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107))),
% 13.61/9.37 inference(modus_ponens,[status(thm)],[8131, 8130])).
% 13.61/9.37 tff(8133,plain,
% 13.61/9.37 (xuntil6(s107) | (~until5(s107))),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8132, 294, 8126])).
% 13.61/9.37 tff(8134,plain,
% 13.61/9.37 ($false),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8133, 8122, 8056])).
% 13.61/9.37 tff(8135,plain,(always3(s109) | (~until5(s105)) | xuntil6(s109)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.37 tff(8136,plain,
% 13.61/9.37 (always3(s109)),
% 13.61/9.37 inference(unit_resolution,[status(thm)],[8135, 8006, 8007])).
% 13.61/9.37 tff(8137,plain,
% 13.61/9.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s109)) | (~m_main_v_state(s109, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s109)) | (~m_main_v_state(s109, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8138,plain,
% 13.61/9.38 (((~m_main_v_state(s109, c_busy)) | (~always3(s109))) <=> ((~always3(s109)) | (~m_main_v_state(s109, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8139,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s109, c_busy)) | (~always3(s109)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s109)) | (~m_main_v_state(s109, c_busy))))),
% 13.61/9.38 inference(monotonicity,[status(thm)],[8138])).
% 13.61/9.38 tff(8140,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s109, c_busy)) | (~always3(s109)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s109)) | (~m_main_v_state(s109, c_busy)))),
% 13.61/9.38 inference(transitivity,[status(thm)],[8139, 8137])).
% 13.61/9.38 tff(8141,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s109, c_busy)) | (~always3(s109)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8142,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s109)) | (~m_main_v_state(s109, c_busy))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8141, 8140])).
% 13.61/9.38 tff(8143,plain,
% 13.61/9.38 (~m_main_v_state(s109, c_busy)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8142, 85, 8136])).
% 13.61/9.38 tff(8144,assumption,(~m_main_v_state(s109, c_busy)), introduced(assumption)).
% 13.61/9.38 tff(8145,assumption,(node4(s108)), introduced(assumption)).
% 13.61/9.38 tff(8146,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s108) | (~node4(s108)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s108) | (~node4(s108)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8147,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s108) | (~node4(s108)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8148,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s108) | (~node4(s108))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8147, 8146])).
% 13.61/9.38 tff(8149,plain,
% 13.61/9.38 (m_main_v_request(s108)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8148, 21, 8145])).
% 13.61/9.38 tff(8150,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s108, s109)) | node2(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s108, s109)) | node2(s108, s109))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8151,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s108, s109)) | node2(s108, s109))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8152,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s108, s109)) | node2(s108, s109)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8151, 8150])).
% 13.61/9.38 tff(8153,plain,
% 13.61/9.38 (node2(s108, s109)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8152, 7, 8015])).
% 13.61/9.38 tff(8154,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8155,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8156,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8155, 8154])).
% 13.61/9.38 tff(8157,plain,
% 13.61/9.38 ((~m_main_v_state(s108, c_ready)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8156, 73, 8153])).
% 13.61/9.38 tff(8158,plain,
% 13.61/9.38 (~m_main_v_state(s108, c_ready)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8157, 8149, 8144])).
% 13.61/9.38 tff(8159,plain,
% 13.61/9.38 (always3(s108)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8023, 36, 8145])).
% 13.61/9.38 tff(8160,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s108)) | (~m_main_v_state(s108, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s108)) | (~m_main_v_state(s108, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8161,plain,
% 13.61/9.38 (((~m_main_v_state(s108, c_busy)) | (~always3(s108))) <=> ((~always3(s108)) | (~m_main_v_state(s108, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8162,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s108, c_busy)) | (~always3(s108)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s108)) | (~m_main_v_state(s108, c_busy))))),
% 13.61/9.38 inference(monotonicity,[status(thm)],[8161])).
% 13.61/9.38 tff(8163,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s108, c_busy)) | (~always3(s108)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s108)) | (~m_main_v_state(s108, c_busy)))),
% 13.61/9.38 inference(transitivity,[status(thm)],[8162, 8160])).
% 13.61/9.38 tff(8164,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s108, c_busy)) | (~always3(s108)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8165,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s108)) | (~m_main_v_state(s108, c_busy))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8164, 8163])).
% 13.61/9.38 tff(8166,plain,
% 13.61/9.38 (~m_main_v_state(s108, c_busy)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8165, 85, 8159])).
% 13.61/9.38 tff(8167,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8168,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8169,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 13.61/9.38 tff(8170,plain,
% 13.61/9.38 ($false),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8169, 102, 8166, 8158])).
% 13.61/9.38 tff(8171,plain,((~node4(s108)) | m_main_v_state(s109, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.38 tff(8172,plain,
% 13.61/9.38 (~node4(s108)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8171, 8143])).
% 13.61/9.38 tff(8173,plain,
% 13.61/9.38 (succ(s109, s110) <=> succ(s109, s110)),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8174,axiom,(succ(s109, s110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound110')).
% 13.61/9.38 tff(8175,plain,
% 13.61/9.38 (succ(s109, s110)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8174, 8173])).
% 13.61/9.38 tff(8176,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8177,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8178,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8177, 8176])).
% 13.61/9.38 tff(8179,plain,
% 13.61/9.38 (trans(s109, s110)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8178, 8175, 52])).
% 13.61/9.38 tff(8180,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s109, s110)) | (~always3(s109)) | always3(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s109, s110)) | (~always3(s109)) | always3(s110))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8181,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s109, s110)) | (~always3(s109)) | always3(s110))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8182,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s109, s110)) | (~always3(s109)) | always3(s110)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8181, 8180])).
% 13.61/9.38 tff(8183,plain,
% 13.61/9.38 ((~always3(s109)) | always3(s110)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8182, 125, 8179])).
% 13.61/9.38 tff(8184,plain,
% 13.61/9.38 (always3(s110)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8183, 8136])).
% 13.61/9.38 tff(8185,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s110)) | (~m_main_v_state(s110, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s110)) | (~m_main_v_state(s110, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8186,plain,
% 13.61/9.38 (((~m_main_v_state(s110, c_busy)) | (~always3(s110))) <=> ((~always3(s110)) | (~m_main_v_state(s110, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8187,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s110, c_busy)) | (~always3(s110)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s110)) | (~m_main_v_state(s110, c_busy))))),
% 13.61/9.38 inference(monotonicity,[status(thm)],[8186])).
% 13.61/9.38 tff(8188,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s110, c_busy)) | (~always3(s110)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s110)) | (~m_main_v_state(s110, c_busy)))),
% 13.61/9.38 inference(transitivity,[status(thm)],[8187, 8185])).
% 13.61/9.38 tff(8189,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s110, c_busy)) | (~always3(s110)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8190,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s110)) | (~m_main_v_state(s110, c_busy))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8189, 8188])).
% 13.61/9.38 tff(8191,plain,
% 13.61/9.38 (~m_main_v_state(s110, c_busy)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8190, 85, 8184])).
% 13.61/9.38 tff(8192,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8193,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8194,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8193, 8192])).
% 13.61/9.38 tff(8195,plain,
% 13.61/9.38 (m_main_v_state(s109, c_ready)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8194, 102, 8143])).
% 13.61/9.38 tff(8196,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s109, s110)) | node2(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s109, s110)) | node2(s109, s110))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8197,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s109, s110)) | node2(s109, s110))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8198,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s109, s110)) | node2(s109, s110)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 13.61/9.38 tff(8199,plain,
% 13.61/9.38 (node2(s109, s110)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8198, 7, 8179])).
% 13.61/9.38 tff(8200,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8201,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8202,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 13.61/9.38 tff(8203,plain,
% 13.61/9.38 ((~m_main_v_state(s109, c_ready)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8202, 73, 8199])).
% 13.61/9.38 tff(8204,plain,
% 13.61/9.38 (~m_main_v_request(s109)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8203, 8195, 8191])).
% 13.61/9.38 tff(8205,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s109) | (~node4(s109)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s109) | (~node4(s109)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8206,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s109) | (~node4(s109)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8207,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s109) | (~node4(s109))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8206, 8205])).
% 13.61/9.38 tff(8208,plain,
% 13.61/9.38 (~node4(s109)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8207, 21, 8204])).
% 13.61/9.38 tff(8209,plain,
% 13.61/9.38 (~until5(s109)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8035, 8208])).
% 13.61/9.38 tff(8210,plain,
% 13.61/9.38 (~xuntil6(s108)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8040, 8209])).
% 13.61/9.38 tff(8211,plain,
% 13.61/9.38 (node4(s108) | (~until5(s108))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8047, 294, 8210])).
% 13.61/9.38 tff(8212,plain,
% 13.61/9.38 (~until5(s108)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8211, 8172])).
% 13.61/9.38 tff(8213,plain,
% 13.61/9.38 (~xuntil6(s107)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8055, 8212])).
% 13.61/9.38 tff(8214,assumption,(~always3(s107)), introduced(assumption)).
% 13.61/9.38 tff(8215,plain,
% 13.61/9.38 (~always3(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8076, 8214])).
% 13.61/9.38 tff(8216,plain,
% 13.61/9.38 (~node4(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8080, 36, 8215])).
% 13.61/9.38 tff(8217,plain,
% 13.61/9.38 (~node4(s107)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8125, 36, 8214])).
% 13.61/9.38 tff(8218,assumption,(~xuntil6(s107)), introduced(assumption)).
% 13.61/9.38 tff(8219,plain,
% 13.61/9.38 (node4(s107) | (~until5(s107))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8132, 294, 8218])).
% 13.61/9.38 tff(8220,plain,
% 13.61/9.38 (~until5(s107)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8219, 8217])).
% 13.61/9.38 tff(8221,plain,
% 13.61/9.38 (~xuntil6(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8121, 8220])).
% 13.61/9.38 tff(8222,plain,
% 13.61/9.38 (~always3(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8092, 8215])).
% 13.61/9.38 tff(8223,plain,
% 13.61/9.38 (~node4(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8096, 36, 8222])).
% 13.61/9.38 tff(8224,plain,
% 13.61/9.38 (xuntil6(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8104, 8223])).
% 13.61/9.38 tff(8225,plain,
% 13.61/9.38 (until5(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8109, 8224])).
% 13.61/9.38 tff(8226,plain,
% 13.61/9.38 ($false),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8116, 294, 8225, 8221, 8216])).
% 13.61/9.38 tff(8227,plain,(always3(s107) | (~until5(s105)) | xuntil6(s107)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.38 tff(8228,plain,
% 13.61/9.38 (always3(s107)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8227, 8006, 8213])).
% 13.61/9.38 tff(8229,plain,
% 13.61/9.38 (always3(s108)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8064, 8228])).
% 13.61/9.38 tff(8230,plain,
% 13.61/9.38 (~m_main_v_state(s108, c_busy)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8165, 85, 8229])).
% 13.61/9.38 tff(8231,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s107)) | (~m_main_v_state(s107, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s107)) | (~m_main_v_state(s107, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8232,plain,
% 13.61/9.38 (((~m_main_v_state(s107, c_busy)) | (~always3(s107))) <=> ((~always3(s107)) | (~m_main_v_state(s107, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8233,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s107, c_busy)) | (~always3(s107)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s107)) | (~m_main_v_state(s107, c_busy))))),
% 13.61/9.38 inference(monotonicity,[status(thm)],[8232])).
% 13.61/9.38 tff(8234,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s107, c_busy)) | (~always3(s107)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s107)) | (~m_main_v_state(s107, c_busy)))),
% 13.61/9.38 inference(transitivity,[status(thm)],[8233, 8231])).
% 13.61/9.38 tff(8235,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s107, c_busy)) | (~always3(s107)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8236,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s107)) | (~m_main_v_state(s107, c_busy))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 13.61/9.38 tff(8237,plain,
% 13.61/9.38 (~m_main_v_state(s107, c_busy)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8236, 85, 8228])).
% 13.61/9.38 tff(8238,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8239,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8240,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 13.61/9.38 tff(8241,plain,
% 13.61/9.38 (m_main_v_state(s107, c_ready)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8240, 102, 8237])).
% 13.61/9.38 tff(8242,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s107, s108)) | node2(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s107, s108)) | node2(s107, s108))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8243,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s107, s108)) | node2(s107, s108))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8244,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s107, s108)) | node2(s107, s108)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 13.61/9.38 tff(8245,plain,
% 13.61/9.38 (node2(s107, s108)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8244, 7, 8060])).
% 13.61/9.38 tff(8246,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8247,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8248,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 13.61/9.38 tff(8249,plain,
% 13.61/9.38 ((~m_main_v_state(s107, c_ready)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8248, 73, 8245])).
% 13.61/9.38 tff(8250,plain,
% 13.61/9.38 (~m_main_v_request(s107)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8249, 8241, 8230])).
% 13.61/9.38 tff(8251,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s107) | (~node4(s107)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s107) | (~node4(s107)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8252,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s107) | (~node4(s107)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8253,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s107) | (~node4(s107))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8252, 8251])).
% 13.61/9.38 tff(8254,plain,
% 13.61/9.38 (~node4(s107)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8253, 21, 8250])).
% 13.61/9.38 tff(8255,plain,
% 13.61/9.38 (node4(s107) | (~until5(s107))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8132, 294, 8213])).
% 13.61/9.38 tff(8256,plain,
% 13.61/9.38 (~until5(s107)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8255, 8254])).
% 13.61/9.38 tff(8257,plain,
% 13.61/9.38 (~xuntil6(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8121, 8256])).
% 13.61/9.38 tff(8258,assumption,(~always3(s106)), introduced(assumption)).
% 13.61/9.38 tff(8259,plain,
% 13.61/9.38 (~always3(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8092, 8258])).
% 13.61/9.38 tff(8260,plain,
% 13.61/9.38 (~node4(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8096, 36, 8259])).
% 13.61/9.38 tff(8261,plain,
% 13.61/9.38 (xuntil6(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8104, 8260])).
% 13.61/9.38 tff(8262,plain,
% 13.61/9.38 (until5(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8109, 8261])).
% 13.61/9.38 tff(8263,assumption,(~xuntil6(s106)), introduced(assumption)).
% 13.61/9.38 tff(8264,plain,
% 13.61/9.38 (node4(s106) | (~until5(s106))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8116, 294, 8263])).
% 13.61/9.38 tff(8265,plain,
% 13.61/9.38 (node4(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8264, 8262])).
% 13.61/9.38 tff(8266,plain,
% 13.61/9.38 ($false),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8080, 36, 8258, 8265])).
% 13.61/9.38 tff(8267,plain,(always3(s106) | xuntil6(s106) | (~until5(s105))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.38 tff(8268,plain,
% 13.61/9.38 (always3(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8267, 8257, 8006])).
% 13.61/9.38 tff(8269,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s106)) | (~m_main_v_state(s106, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s106)) | (~m_main_v_state(s106, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8270,plain,
% 13.61/9.38 (((~m_main_v_state(s106, c_busy)) | (~always3(s106))) <=> ((~always3(s106)) | (~m_main_v_state(s106, c_busy)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8271,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s106, c_busy)) | (~always3(s106)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s106)) | (~m_main_v_state(s106, c_busy))))),
% 13.61/9.38 inference(monotonicity,[status(thm)],[8270])).
% 13.61/9.38 tff(8272,plain,
% 13.61/9.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s106, c_busy)) | (~always3(s106)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s106)) | (~m_main_v_state(s106, c_busy)))),
% 13.61/9.38 inference(transitivity,[status(thm)],[8271, 8269])).
% 13.61/9.38 tff(8273,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s106, c_busy)) | (~always3(s106)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8274,plain,
% 13.61/9.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s106)) | (~m_main_v_state(s106, c_busy))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 13.61/9.38 tff(8275,plain,
% 13.61/9.38 (~m_main_v_state(s106, c_busy)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8274, 85, 8268])).
% 13.61/9.38 tff(8276,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8277,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8278,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8277, 8276])).
% 13.61/9.38 tff(8279,plain,
% 13.61/9.38 (m_main_v_state(s106, c_ready)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8278, 102, 8275])).
% 13.61/9.38 tff(8280,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s106, s107)) | node2(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s106, s107)) | node2(s106, s107))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8281,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s106, s107)) | node2(s106, s107))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8282,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s106, s107)) | node2(s106, s107)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8281, 8280])).
% 13.61/9.38 tff(8283,plain,
% 13.61/9.38 (node2(s106, s107)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8282, 7, 8072])).
% 13.61/9.38 tff(8284,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8285,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8286,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8285, 8284])).
% 13.61/9.38 tff(8287,plain,
% 13.61/9.38 ((~m_main_v_state(s106, c_ready)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8286, 73, 8283])).
% 13.61/9.38 tff(8288,plain,
% 13.61/9.38 (~m_main_v_request(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8287, 8279, 8237])).
% 13.61/9.38 tff(8289,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s106) | (~node4(s106)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s106) | (~node4(s106)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8290,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s106) | (~node4(s106)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8291,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s106) | (~node4(s106))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 13.61/9.38 tff(8292,plain,
% 13.61/9.38 (~node4(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8291, 21, 8288])).
% 13.61/9.38 tff(8293,plain,
% 13.61/9.38 (node4(s106) | (~until5(s106))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8116, 294, 8257])).
% 13.61/9.38 tff(8294,plain,
% 13.61/9.38 (~until5(s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8293, 8292])).
% 13.61/9.38 tff(8295,plain,
% 13.61/9.38 (~xuntil6(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8109, 8294])).
% 13.61/9.38 tff(8296,plain,
% 13.61/9.38 (node4(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8104, 8295])).
% 13.61/9.38 tff(8297,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s105) | (~node4(s105)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s105) | (~node4(s105)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8298,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s105) | (~node4(s105)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8299,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s105) | (~node4(s105))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8298, 8297])).
% 13.61/9.38 tff(8300,plain,
% 13.61/9.38 (m_main_v_request(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8299, 21, 8296])).
% 13.61/9.38 tff(8301,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s105, s106)) | node2(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s105, s106)) | node2(s105, s106))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8302,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s105, s106)) | node2(s105, s106))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8303,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s105, s106)) | node2(s105, s106)),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8302, 8301])).
% 13.61/9.38 tff(8304,plain,
% 13.61/9.38 (node2(s105, s106)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8303, 7, 8088])).
% 13.61/9.38 tff(8305,plain,
% 13.61/9.38 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105)))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8306,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105)))),
% 13.61/9.38 inference(quant_inst,[status(thm)],[])).
% 13.61/9.38 tff(8307,plain,
% 13.61/9.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105))),
% 13.61/9.38 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 13.61/9.38 tff(8308,plain,
% 13.61/9.38 ((~m_main_v_state(s105, c_ready)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105))),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8307, 73, 8304])).
% 13.61/9.38 tff(8309,plain,
% 13.61/9.38 (~m_main_v_state(s105, c_ready)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8308, 8300, 8275])).
% 13.61/9.38 tff(8310,plain,
% 13.61/9.38 (always3(s105)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[8096, 36, 8296])).
% 13.61/9.38 tff(8311,plain,
% 13.61/9.38 (~m_main_v_state(s105, c_busy)),
% 13.61/9.38 inference(unit_resolution,[status(thm)],[7976, 85, 8310])).
% 13.61/9.38 tff(8312,plain,
% 13.61/9.38 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready))),
% 13.61/9.38 inference(rewrite,[status(thm)],[])).
% 13.61/9.38 tff(8313,plain,
% 13.61/9.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8314,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8313, 8312])).
% 13.61/9.39 tff(8315,plain,
% 13.61/9.39 ($false),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8314, 102, 8311, 8309])).
% 13.61/9.39 tff(8316,plain,((~until5(s105)) | xuntil6(s109)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.39 tff(8317,plain,
% 13.61/9.39 (xuntil6(s109)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8316, 8005])).
% 13.61/9.39 tff(8318,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8319,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8320,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8319, 8318])).
% 13.61/9.39 tff(8321,plain,
% 13.61/9.39 ((~xuntil6(s109)) | until5(s110)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8320, 8175, 312])).
% 13.61/9.39 tff(8322,plain,
% 13.61/9.39 (until5(s110)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8321, 8317])).
% 13.61/9.39 tff(8323,assumption,(node4(s110)), introduced(assumption)).
% 13.61/9.39 tff(8324,plain,
% 13.61/9.39 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s110) | (~node4(s110)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s110) | (~node4(s110)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8325,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s110) | (~node4(s110)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8326,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s110) | (~node4(s110))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8325, 8324])).
% 13.61/9.39 tff(8327,plain,
% 13.61/9.39 (m_main_v_request(s110)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8326, 21, 8323])).
% 13.61/9.39 tff(8328,plain,
% 13.61/9.39 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8329,plain,
% 13.61/9.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8330,plain,
% 13.61/9.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8329, 8328])).
% 13.61/9.39 tff(8331,plain,
% 13.61/9.39 (always3(s110)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8330, 36, 8323])).
% 13.61/9.39 tff(8332,plain,
% 13.61/9.39 (succ(s110, s111) <=> succ(s110, s111)),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8333,axiom,(succ(s110, s111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound111')).
% 13.61/9.39 tff(8334,plain,
% 13.61/9.39 (succ(s110, s111)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8333, 8332])).
% 13.61/9.39 tff(8335,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8336,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8337,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 13.61/9.39 tff(8338,plain,
% 13.61/9.39 (trans(s110, s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8337, 8334, 52])).
% 13.61/9.39 tff(8339,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s110, s111)) | (~always3(s110)) | always3(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s110, s111)) | (~always3(s110)) | always3(s111))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8340,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s110, s111)) | (~always3(s110)) | always3(s111))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8341,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s110, s111)) | (~always3(s110)) | always3(s111)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8340, 8339])).
% 13.61/9.39 tff(8342,plain,
% 13.61/9.39 ((~always3(s110)) | always3(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8341, 125, 8338])).
% 13.61/9.39 tff(8343,plain,
% 13.61/9.39 (always3(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8342, 8331])).
% 13.61/9.39 tff(8344,plain,
% 13.61/9.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s111)) | (~m_main_v_state(s111, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s111)) | (~m_main_v_state(s111, c_busy)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8345,plain,
% 13.61/9.39 (((~m_main_v_state(s111, c_busy)) | (~always3(s111))) <=> ((~always3(s111)) | (~m_main_v_state(s111, c_busy)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8346,plain,
% 13.61/9.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s111, c_busy)) | (~always3(s111)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s111)) | (~m_main_v_state(s111, c_busy))))),
% 13.61/9.39 inference(monotonicity,[status(thm)],[8345])).
% 13.61/9.39 tff(8347,plain,
% 13.61/9.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s111, c_busy)) | (~always3(s111)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s111)) | (~m_main_v_state(s111, c_busy)))),
% 13.61/9.39 inference(transitivity,[status(thm)],[8346, 8344])).
% 13.61/9.39 tff(8348,plain,
% 13.61/9.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s111, c_busy)) | (~always3(s111)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8349,plain,
% 13.61/9.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s111)) | (~m_main_v_state(s111, c_busy))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8348, 8347])).
% 13.61/9.39 tff(8350,plain,
% 13.61/9.39 (~m_main_v_state(s111, c_busy)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8349, 85, 8343])).
% 13.61/9.39 tff(8351,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s110, s111)) | node2(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s110, s111)) | node2(s110, s111))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8352,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s110, s111)) | node2(s110, s111))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8353,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s110, s111)) | node2(s110, s111)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8352, 8351])).
% 13.61/9.39 tff(8354,plain,
% 13.61/9.39 (node2(s110, s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8353, 7, 8338])).
% 13.61/9.39 tff(8355,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8356,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8357,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8356, 8355])).
% 13.61/9.39 tff(8358,plain,
% 13.61/9.39 ((~m_main_v_state(s110, c_ready)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8357, 73, 8354])).
% 13.61/9.39 tff(8359,plain,
% 13.61/9.39 (~m_main_v_state(s110, c_ready)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8358, 8350, 8327])).
% 13.61/9.39 tff(8360,plain,
% 13.61/9.39 (~m_main_v_state(s110, c_busy)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8190, 85, 8331])).
% 13.61/9.39 tff(8361,plain,
% 13.61/9.39 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8362,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8363,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8362, 8361])).
% 13.61/9.39 tff(8364,plain,
% 13.61/9.39 ($false),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8363, 102, 8360, 8359])).
% 13.61/9.39 tff(8365,plain,(~node4(s110)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.39 tff(8366,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s110) | node4(s110) | (~until5(s110)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8367,plain,
% 13.61/9.39 ((node4(s110) | (~until5(s110)) | xuntil6(s110)) <=> (xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8368,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s110) | node4(s110) | (~until5(s110))))),
% 13.61/9.39 inference(monotonicity,[status(thm)],[8367])).
% 13.61/9.39 tff(8369,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 13.61/9.39 inference(transitivity,[status(thm)],[8368, 8366])).
% 13.61/9.39 tff(8370,plain,
% 13.61/9.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8371,plain,
% 13.61/9.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 13.61/9.39 tff(8372,plain,
% 13.61/9.39 (xuntil6(s110) | (~until5(s110))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8371, 294, 8365])).
% 13.61/9.39 tff(8373,plain,
% 13.61/9.39 (xuntil6(s110)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8372, 8322])).
% 13.61/9.39 tff(8374,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8375,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8376,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 13.61/9.39 tff(8377,plain,
% 13.61/9.39 ((~xuntil6(s110)) | until5(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8376, 8334, 312])).
% 13.61/9.39 tff(8378,plain,
% 13.61/9.39 (until5(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8377, 8373])).
% 13.61/9.39 tff(8379,assumption,(~xuntil6(s111)), introduced(assumption)).
% 13.61/9.39 tff(8380,assumption,(~always3(s111)), introduced(assumption)).
% 13.61/9.39 tff(8381,plain,
% 13.61/9.39 (~always3(s110)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8342, 8380])).
% 13.61/9.39 tff(8382,plain,
% 13.61/9.39 (~always3(s109)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8183, 8381])).
% 13.61/9.39 tff(8383,plain,
% 13.61/9.39 (~always3(s108)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8019, 8382])).
% 13.61/9.39 tff(8384,plain,
% 13.61/9.39 (~always3(s107)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8064, 8383])).
% 13.61/9.39 tff(8385,plain,
% 13.61/9.39 (~always3(s106)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8076, 8384])).
% 13.61/9.39 tff(8386,plain,
% 13.61/9.39 (~always3(s105)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8092, 8385])).
% 13.61/9.39 tff(8387,plain,
% 13.61/9.39 (~always3(s104)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7969, 8386])).
% 13.61/9.39 tff(8388,plain,
% 13.61/9.39 (~always3(s103)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7454, 8387])).
% 13.61/9.39 tff(8389,plain,
% 13.61/9.39 (~node4(s109)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8027, 36, 8382])).
% 13.61/9.39 tff(8390,plain,
% 13.61/9.39 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8391,plain,
% 13.61/9.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8392,plain,
% 13.61/9.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8391, 8390])).
% 13.61/9.39 tff(8393,plain,
% 13.61/9.39 (~node4(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8392, 36, 8380])).
% 13.61/9.39 tff(8394,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s111) | node4(s111) | (~until5(s111)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8395,plain,
% 13.61/9.39 ((node4(s111) | (~until5(s111)) | xuntil6(s111)) <=> (xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8396,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s111) | node4(s111) | (~until5(s111))))),
% 13.61/9.39 inference(monotonicity,[status(thm)],[8395])).
% 13.61/9.39 tff(8397,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 13.61/9.39 inference(transitivity,[status(thm)],[8396, 8394])).
% 13.61/9.39 tff(8398,plain,
% 13.61/9.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8399,plain,
% 13.61/9.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 13.61/9.39 tff(8400,plain,
% 13.61/9.39 (node4(s111) | (~until5(s111))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8399, 294, 8379])).
% 13.61/9.39 tff(8401,plain,
% 13.61/9.39 (~until5(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8400, 8393])).
% 13.61/9.39 tff(8402,plain,
% 13.61/9.39 (~xuntil6(s110)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8377, 8401])).
% 13.61/9.39 tff(8403,plain,
% 13.61/9.39 (~until5(s110)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8372, 8402])).
% 13.61/9.39 tff(8404,plain,
% 13.61/9.39 (~xuntil6(s109)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8321, 8403])).
% 13.61/9.39 tff(8405,plain,
% 13.61/9.39 (~until5(s109)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8034, 294, 8404, 8389])).
% 13.61/9.39 tff(8406,plain,
% 13.61/9.39 (~xuntil6(s108)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8040, 8405])).
% 13.61/9.39 tff(8407,plain,
% 13.61/9.39 (~node4(s108)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8023, 36, 8383])).
% 13.61/9.39 tff(8408,plain,
% 13.61/9.39 (xuntil6(s108) | (~until5(s108))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8047, 294, 8407])).
% 13.61/9.39 tff(8409,plain,
% 13.61/9.39 (~until5(s108)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8408, 8406])).
% 13.61/9.39 tff(8410,plain,
% 13.61/9.39 (~xuntil6(s107)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8055, 8409])).
% 13.61/9.39 tff(8411,plain,
% 13.61/9.39 (~node4(s107)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8125, 36, 8384])).
% 13.61/9.39 tff(8412,plain,
% 13.61/9.39 (xuntil6(s107) | (~until5(s107))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8132, 294, 8411])).
% 13.61/9.39 tff(8413,plain,
% 13.61/9.39 (~until5(s107)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8412, 8410])).
% 13.61/9.39 tff(8414,plain,
% 13.61/9.39 (~xuntil6(s106)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8121, 8413])).
% 13.61/9.39 tff(8415,plain,
% 13.61/9.39 (~node4(s106)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8080, 36, 8385])).
% 13.61/9.39 tff(8416,plain,
% 13.61/9.39 (xuntil6(s106) | (~until5(s106))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8116, 294, 8415])).
% 13.61/9.39 tff(8417,plain,
% 13.61/9.39 (~until5(s106)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8416, 8414])).
% 13.61/9.39 tff(8418,plain,
% 13.61/9.39 (~xuntil6(s105)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8109, 8417])).
% 13.61/9.39 tff(8419,plain,
% 13.61/9.39 (~node4(s105)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8096, 36, 8386])).
% 13.61/9.39 tff(8420,plain,
% 13.61/9.39 (xuntil6(s105) | (~until5(s105))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8103, 294, 8419])).
% 13.61/9.39 tff(8421,plain,
% 13.61/9.39 (~until5(s105)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8420, 8418])).
% 13.61/9.39 tff(8422,plain,
% 13.61/9.39 (~xuntil6(s104)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8004, 8421])).
% 13.61/9.39 tff(8423,plain,
% 13.61/9.39 (~node4(s104)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7787, 36, 8387])).
% 13.61/9.39 tff(8424,plain,
% 13.61/9.39 (xuntil6(s104) | (~until5(s104))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7794, 294, 8423])).
% 13.61/9.39 tff(8425,plain,
% 13.61/9.39 (~until5(s104)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8424, 8422])).
% 13.61/9.39 tff(8426,plain,
% 13.61/9.39 (~xuntil6(s103)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7740, 8425])).
% 13.61/9.39 tff(8427,plain,
% 13.61/9.39 (~until5(s65)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7405, 8426, 8388])).
% 13.61/9.39 tff(8428,plain,
% 13.61/9.39 (~xuntil6(s64)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4786, 8427])).
% 13.61/9.39 tff(8429,plain,
% 13.61/9.39 (~always3(s102)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7088, 8388])).
% 13.61/9.39 tff(8430,plain,
% 13.61/9.39 (~always3(s101)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7133, 8429])).
% 13.61/9.39 tff(8431,plain,
% 13.61/9.39 (~always3(s100)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7162, 8430])).
% 13.61/9.39 tff(8432,plain,
% 13.61/9.39 (~always3(s99)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7191, 8431])).
% 13.61/9.39 tff(8433,plain,
% 13.61/9.39 (~always3(s98)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7220, 8432])).
% 13.61/9.39 tff(8434,plain,
% 13.61/9.39 (~always3(s97)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7016, 8433])).
% 13.61/9.39 tff(8435,plain,
% 13.61/9.39 (~always3(s96)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[6978, 8434])).
% 13.61/9.39 tff(8436,plain,
% 13.61/9.39 (~always3(s95)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[7252, 8435])).
% 13.61/9.39 tff(8437,plain,
% 13.61/9.39 (~always3(s94)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[6622, 8436])).
% 13.61/9.39 tff(8438,plain,
% 13.61/9.39 (~always3(s93)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[6572, 8437])).
% 13.61/9.39 tff(8439,plain,
% 13.61/9.39 (~always3(s92)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[6516, 8438])).
% 13.61/9.39 tff(8440,plain,
% 13.61/9.39 (~always3(s91)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[6312, 8439])).
% 13.61/9.39 tff(8441,plain,
% 13.61/9.39 (~always3(s90)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5700, 8440])).
% 13.61/9.39 tff(8442,plain,
% 13.61/9.39 (~always3(s89)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5712, 8441])).
% 13.61/9.39 tff(8443,plain,
% 13.61/9.39 (~always3(s88)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5724, 8442])).
% 13.61/9.39 tff(8444,plain,
% 13.61/9.39 (~always3(s87)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5736, 8443])).
% 13.61/9.39 tff(8445,plain,
% 13.61/9.39 (~always3(s86)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5748, 8444])).
% 13.61/9.39 tff(8446,plain,
% 13.61/9.39 (~always3(s85)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5760, 8445])).
% 13.61/9.39 tff(8447,plain,
% 13.61/9.39 (~always3(s84)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5772, 8446])).
% 13.61/9.39 tff(8448,plain,
% 13.61/9.39 (~always3(s83)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5784, 8447])).
% 13.61/9.39 tff(8449,plain,
% 13.61/9.39 (~always3(s82)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5796, 8448])).
% 13.61/9.39 tff(8450,plain,
% 13.61/9.39 (~always3(s81)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[6219, 8449])).
% 13.61/9.39 tff(8451,plain,
% 13.61/9.39 (~always3(s80)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5627, 8450])).
% 13.61/9.39 tff(8452,plain,
% 13.61/9.39 (~always3(s79)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5571, 8451])).
% 13.61/9.39 tff(8453,plain,
% 13.61/9.39 (~always3(s78)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5515, 8452])).
% 13.61/9.39 tff(8454,plain,
% 13.61/9.39 (~always3(s77)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5459, 8453])).
% 13.61/9.39 tff(8455,plain,
% 13.61/9.39 (~always3(s76)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5403, 8454])).
% 13.61/9.39 tff(8456,plain,
% 13.61/9.39 (~always3(s75)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5347, 8455])).
% 13.61/9.39 tff(8457,plain,
% 13.61/9.39 (~always3(s74)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5291, 8456])).
% 13.61/9.39 tff(8458,plain,
% 13.61/9.39 (~always3(s73)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5235, 8457])).
% 13.61/9.39 tff(8459,plain,
% 13.61/9.39 (~always3(s72)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5179, 8458])).
% 13.61/9.39 tff(8460,plain,
% 13.61/9.39 (~always3(s71)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5123, 8459])).
% 13.61/9.39 tff(8461,plain,
% 13.61/9.39 (~always3(s70)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5067, 8460])).
% 13.61/9.39 tff(8462,plain,
% 13.61/9.39 (~always3(s69)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[5011, 8461])).
% 13.61/9.39 tff(8463,plain,
% 13.61/9.39 (~always3(s68)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4955, 8462])).
% 13.61/9.39 tff(8464,plain,
% 13.61/9.39 (~always3(s67)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4899, 8463])).
% 13.61/9.39 tff(8465,plain,
% 13.61/9.39 (~always3(s66)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4835, 8464])).
% 13.61/9.39 tff(8466,plain,
% 13.61/9.39 (~always3(s65)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[129, 8465])).
% 13.61/9.39 tff(8467,plain,
% 13.61/9.39 (~always3(s64)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4721, 8466])).
% 13.61/9.39 tff(8468,plain,
% 13.61/9.39 (~node4(s64)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4536, 36, 8467])).
% 13.61/9.39 tff(8469,plain,
% 13.61/9.39 (xuntil6(s64) | (~until5(s64))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4543, 294, 8468])).
% 13.61/9.39 tff(8470,plain,
% 13.61/9.39 (~until5(s64)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8469, 8428])).
% 13.61/9.39 tff(8471,plain,
% 13.61/9.39 (~xuntil6(s63)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4549, 8470])).
% 13.61/9.39 tff(8472,plain,
% 13.61/9.39 (~always3(s63)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4528, 8467])).
% 13.61/9.39 tff(8473,plain,
% 13.61/9.39 (~node4(s63)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4532, 36, 8472])).
% 13.61/9.39 tff(8474,plain,
% 13.61/9.39 (xuntil6(s63) | (~until5(s63))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4556, 294, 8473])).
% 13.61/9.39 tff(8475,plain,
% 13.61/9.39 (~until5(s63)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8474, 8471])).
% 13.61/9.39 tff(8476,plain,
% 13.61/9.39 (~xuntil6(s62)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4514, 8475])).
% 13.61/9.39 tff(8477,plain,
% 13.61/9.39 (~always3(s62)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4065, 8472])).
% 13.61/9.39 tff(8478,plain,
% 13.61/9.39 (~node4(s62)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3937, 36, 8477])).
% 13.61/9.39 tff(8479,plain,
% 13.61/9.39 (xuntil6(s62) | (~until5(s62))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3944, 294, 8478])).
% 13.61/9.39 tff(8480,plain,
% 13.61/9.39 (~until5(s62)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8479, 8476])).
% 13.61/9.39 tff(8481,plain,
% 13.61/9.39 (~xuntil6(s61)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3950, 8480])).
% 13.61/9.39 tff(8482,plain,
% 13.61/9.39 (~always3(s61)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3929, 8477])).
% 13.61/9.39 tff(8483,plain,
% 13.61/9.39 (~node4(s61)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3933, 36, 8482])).
% 13.61/9.39 tff(8484,plain,
% 13.61/9.39 (xuntil6(s61) | (~until5(s61))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3957, 294, 8483])).
% 13.61/9.39 tff(8485,plain,
% 13.61/9.39 (~until5(s61)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8484, 8481])).
% 13.61/9.39 tff(8486,plain,
% 13.61/9.39 (~xuntil6(s60)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4015, 8485])).
% 13.61/9.39 tff(8487,plain,
% 13.61/9.39 (~always3(s60)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3969, 8482])).
% 13.61/9.39 tff(8488,plain,
% 13.61/9.39 (~node4(s60)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3973, 36, 8487])).
% 13.61/9.39 tff(8489,plain,
% 13.61/9.39 (xuntil6(s60) | (~until5(s60))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4010, 294, 8488])).
% 13.61/9.39 tff(8490,plain,
% 13.61/9.39 (~until5(s60)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8489, 8486])).
% 13.61/9.39 tff(8491,plain,
% 13.61/9.39 (~xuntil6(s59)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[4003, 8490])).
% 13.61/9.39 tff(8492,plain,
% 13.61/9.39 (~always3(s59)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3985, 8487])).
% 13.61/9.39 tff(8493,plain,
% 13.61/9.39 (~node4(s59)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3989, 36, 8492])).
% 13.61/9.39 tff(8494,plain,
% 13.61/9.39 (xuntil6(s59) | (~until5(s59))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3997, 294, 8493])).
% 13.61/9.39 tff(8495,plain,
% 13.61/9.39 (~until5(s59)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8494, 8491])).
% 13.61/9.39 tff(8496,plain,
% 13.61/9.39 (~xuntil6(s58)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3916, 8495])).
% 13.61/9.39 tff(8497,plain,
% 13.61/9.39 (~always3(s58)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3735, 8492])).
% 13.61/9.39 tff(8498,plain,
% 13.61/9.39 (~node4(s58)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3874, 36, 8497])).
% 13.61/9.39 tff(8499,plain,
% 13.61/9.39 (xuntil6(s58) | (~until5(s58))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3910, 294, 8498])).
% 13.61/9.39 tff(8500,plain,
% 13.61/9.39 (~until5(s58)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8499, 8496])).
% 13.61/9.39 tff(8501,plain,
% 13.61/9.39 (~xuntil6(s57)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3865, 8500])).
% 13.61/9.39 tff(8502,plain,
% 13.61/9.39 (~always3(s57)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3747, 8497])).
% 13.61/9.39 tff(8503,plain,
% 13.61/9.39 (~node4(s57)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3852, 36, 8502])).
% 13.61/9.39 tff(8504,plain,
% 13.61/9.39 (xuntil6(s57) | (~until5(s57))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3859, 294, 8503])).
% 13.61/9.39 tff(8505,plain,
% 13.61/9.39 (~until5(s57)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8504, 8501])).
% 13.61/9.39 tff(8506,plain,
% 13.61/9.39 (~xuntil6(s56)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3848, 8505])).
% 13.61/9.39 tff(8507,plain,
% 13.61/9.39 (~always3(s56)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3759, 8502])).
% 13.61/9.39 tff(8508,plain,
% 13.61/9.39 (~node4(s56)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3835, 36, 8507])).
% 13.61/9.39 tff(8509,plain,
% 13.61/9.39 (xuntil6(s56) | (~until5(s56))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3842, 294, 8508])).
% 13.61/9.39 tff(8510,plain,
% 13.61/9.39 (~until5(s56)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8509, 8506])).
% 13.61/9.39 tff(8511,plain,
% 13.61/9.39 (~xuntil6(s55)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3721, 8510])).
% 13.61/9.39 tff(8512,plain,
% 13.61/9.39 (~always3(s55)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3686, 8507])).
% 13.61/9.39 tff(8513,plain,
% 13.61/9.39 (~always3(s54)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3630, 8512])).
% 13.61/9.39 tff(8514,plain,
% 13.61/9.39 (~always3(s53)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3530, 8513])).
% 13.61/9.39 tff(8515,plain,
% 13.61/9.39 (~always3(s52)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3474, 8514])).
% 13.61/9.39 tff(8516,plain,
% 13.61/9.39 (~always3(s51)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3232, 8515])).
% 13.61/9.39 tff(8517,plain,
% 13.61/9.39 (~always3(s50)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3048, 8516])).
% 13.61/9.39 tff(8518,plain,
% 13.61/9.39 (~always3(s49)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3093, 8517])).
% 13.61/9.39 tff(8519,plain,
% 13.61/9.39 (~always3(s48)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3122, 8518])).
% 13.61/9.39 tff(8520,plain,
% 13.61/9.39 (~always3(s47)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3151, 8519])).
% 13.61/9.39 tff(8521,plain,
% 13.61/9.39 (~always3(s46)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3175, 8520])).
% 13.61/9.39 tff(8522,plain,
% 13.61/9.39 (~always3(s45)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3000, 8521])).
% 13.61/9.39 tff(8523,plain,
% 13.61/9.39 (~always3(s44)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2944, 8522])).
% 13.61/9.39 tff(8524,plain,
% 13.61/9.39 (~always3(s43)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2888, 8523])).
% 13.61/9.39 tff(8525,plain,
% 13.61/9.39 (~always3(s42)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2832, 8524])).
% 13.61/9.39 tff(8526,plain,
% 13.61/9.39 (~always3(s41)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2773, 8525])).
% 13.61/9.39 tff(8527,plain,
% 13.61/9.39 (~always3(s40)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2699, 8526])).
% 13.61/9.39 tff(8528,plain,
% 13.61/9.39 (~always3(s39)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2661, 8527])).
% 13.61/9.39 tff(8529,plain,
% 13.61/9.39 (~node4(s39)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2665, 36, 8528])).
% 13.61/9.39 tff(8530,plain,
% 13.61/9.39 (~always3(s38)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2599, 8528])).
% 13.61/9.39 tff(8531,plain,
% 13.61/9.39 (~node4(s38)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2587, 36, 8530])).
% 13.61/9.39 tff(8532,plain,
% 13.61/9.39 (~always3(s37)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1912, 8530])).
% 13.61/9.39 tff(8533,plain,
% 13.61/9.39 (~always3(s36)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1333, 8532])).
% 13.61/9.39 tff(8534,plain,
% 13.61/9.39 (~always3(s35)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1378, 8533])).
% 13.61/9.39 tff(8535,plain,
% 13.61/9.39 (~always3(s34)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1407, 8534])).
% 13.61/9.39 tff(8536,plain,
% 13.61/9.39 (~always3(s33)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1436, 8535])).
% 13.61/9.39 tff(8537,plain,
% 13.61/9.39 (~always3(s32)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[200, 8536])).
% 13.61/9.39 tff(8538,plain,
% 13.61/9.39 (~always3(s31)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1480, 8537])).
% 13.61/9.39 tff(8539,plain,
% 13.61/9.39 (~always3(s30)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[249, 8538])).
% 13.61/9.39 tff(8540,plain,
% 13.61/9.39 (~always3(s29)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1524, 8539])).
% 13.61/9.39 tff(8541,plain,
% 13.61/9.39 (~always3(s28)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[151, 8540])).
% 13.61/9.39 tff(8542,plain,
% 13.61/9.39 (~always3(s27)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1568, 8541])).
% 13.61/9.39 tff(8543,plain,
% 13.61/9.39 (~always3(s26)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1592, 8542])).
% 13.61/9.39 tff(8544,plain,
% 13.61/9.39 (~always3(s25)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1604, 8543])).
% 13.61/9.39 tff(8545,plain,
% 13.61/9.39 (~always3(s24)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1616, 8544])).
% 13.61/9.39 tff(8546,plain,
% 13.61/9.39 (~always3(s23)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1628, 8545])).
% 13.61/9.39 tff(8547,plain,
% 13.61/9.39 (~always3(s22)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1640, 8546])).
% 13.61/9.39 tff(8548,plain,
% 13.61/9.39 (~always3(s21)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1652, 8547])).
% 13.61/9.39 tff(8549,plain,
% 13.61/9.39 (~always3(s20)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1664, 8548])).
% 13.61/9.39 tff(8550,plain,
% 13.61/9.39 (~always3(s19)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1676, 8549])).
% 13.61/9.39 tff(8551,plain,
% 13.61/9.39 (~always3(s18)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1688, 8550])).
% 13.61/9.39 tff(8552,plain,
% 13.61/9.39 (~always3(s17)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1700, 8551])).
% 13.61/9.39 tff(8553,plain,
% 13.61/9.39 (~always3(s16)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1716, 8552])).
% 13.61/9.39 tff(8554,plain,
% 13.61/9.39 (~always3(s15)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1259, 8553])).
% 13.61/9.39 tff(8555,plain,
% 13.61/9.39 (xuntil6(s15)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1240, 8554])).
% 13.61/9.39 tff(8556,plain,
% 13.61/9.39 (until5(s16)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1318, 8555])).
% 13.61/9.39 tff(8557,plain,
% 13.61/9.39 (xuntil6(s37)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[1900, 8556, 8532])).
% 13.61/9.39 tff(8558,plain,
% 13.61/9.39 (until5(s38)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2578, 8557])).
% 13.61/9.39 tff(8559,plain,
% 13.61/9.39 (xuntil6(s38) | node4(s38)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2628, 294, 8558])).
% 13.61/9.39 tff(8560,plain,
% 13.61/9.39 (xuntil6(s38)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8559, 8531])).
% 13.61/9.39 tff(8561,plain,
% 13.61/9.39 (until5(s39)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2634, 8560])).
% 13.61/9.39 tff(8562,plain,
% 13.61/9.39 (xuntil6(s39)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2672, 294, 8561, 8529])).
% 13.61/9.39 tff(8563,plain,
% 13.61/9.39 (until5(s40)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2678, 8562])).
% 13.61/9.39 tff(8564,plain,
% 13.61/9.39 (~node4(s40)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2641, 36, 8527])).
% 13.61/9.39 tff(8565,plain,
% 13.61/9.39 (xuntil6(s40) | (~until5(s40))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2648, 294, 8564])).
% 13.61/9.39 tff(8566,plain,
% 13.61/9.39 (xuntil6(s40)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8565, 8563])).
% 13.61/9.39 tff(8567,plain,
% 13.61/9.39 (until5(s41)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2752, 8566])).
% 13.61/9.39 tff(8568,plain,
% 13.61/9.39 (~node4(s41)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2761, 36, 8526])).
% 13.61/9.39 tff(8569,plain,
% 13.61/9.39 (xuntil6(s41) | (~until5(s41))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2802, 294, 8568])).
% 13.61/9.39 tff(8570,plain,
% 13.61/9.39 (xuntil6(s41)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8569, 8567])).
% 13.61/9.39 tff(8571,plain,
% 13.61/9.39 (until5(s42)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2808, 8570])).
% 13.61/9.39 tff(8572,plain,
% 13.61/9.39 (~node4(s42)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2820, 36, 8525])).
% 13.61/9.39 tff(8573,plain,
% 13.61/9.39 (xuntil6(s42) | (~until5(s42))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2861, 294, 8572])).
% 13.61/9.39 tff(8574,plain,
% 13.61/9.39 (xuntil6(s42)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8573, 8571])).
% 13.61/9.39 tff(8575,plain,
% 13.61/9.39 (until5(s43)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2867, 8574])).
% 13.61/9.39 tff(8576,plain,
% 13.61/9.39 (~node4(s43)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2876, 36, 8524])).
% 13.61/9.39 tff(8577,plain,
% 13.61/9.39 (xuntil6(s43) | (~until5(s43))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2917, 294, 8576])).
% 13.61/9.39 tff(8578,plain,
% 13.61/9.39 (xuntil6(s43)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8577, 8575])).
% 13.61/9.39 tff(8579,plain,
% 13.61/9.39 (until5(s44)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2923, 8578])).
% 13.61/9.39 tff(8580,plain,
% 13.61/9.39 (~node4(s44)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2932, 36, 8523])).
% 13.61/9.39 tff(8581,plain,
% 13.61/9.39 (xuntil6(s44) | (~until5(s44))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2973, 294, 8580])).
% 13.61/9.39 tff(8582,plain,
% 13.61/9.39 (xuntil6(s44)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8581, 8579])).
% 13.61/9.39 tff(8583,plain,
% 13.61/9.39 (until5(s45)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2979, 8582])).
% 13.61/9.39 tff(8584,plain,
% 13.61/9.39 (~node4(s45)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[2988, 36, 8522])).
% 13.61/9.39 tff(8585,plain,
% 13.61/9.39 (xuntil6(s45) | (~until5(s45))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3029, 294, 8584])).
% 13.61/9.39 tff(8586,plain,
% 13.61/9.39 (xuntil6(s45)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8585, 8583])).
% 13.61/9.39 tff(8587,plain,
% 13.61/9.39 (until5(s46)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3035, 8586])).
% 13.61/9.39 tff(8588,plain,
% 13.61/9.39 (~node4(s46)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3198, 36, 8521])).
% 13.61/9.39 tff(8589,plain,
% 13.61/9.39 (xuntil6(s46) | (~until5(s46))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3205, 294, 8588])).
% 13.61/9.39 tff(8590,plain,
% 13.61/9.39 (xuntil6(s46)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8589, 8587])).
% 13.61/9.39 tff(8591,plain,
% 13.61/9.39 (until5(s47)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3211, 8590])).
% 13.61/9.39 tff(8592,plain,
% 13.61/9.39 (~node4(s47)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3155, 36, 8520])).
% 13.61/9.39 tff(8593,plain,
% 13.61/9.39 (xuntil6(s47) | (~until5(s47))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3162, 294, 8592])).
% 13.61/9.39 tff(8594,plain,
% 13.61/9.39 (xuntil6(s47)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8593, 8591])).
% 13.61/9.39 tff(8595,plain,
% 13.61/9.39 (until5(s48)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3142, 8594])).
% 13.61/9.39 tff(8596,plain,
% 13.61/9.39 (~node4(s48)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3126, 36, 8519])).
% 13.61/9.39 tff(8597,plain,
% 13.61/9.39 (xuntil6(s48) | (~until5(s48))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3133, 294, 8596])).
% 13.61/9.39 tff(8598,plain,
% 13.61/9.39 (xuntil6(s48)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8597, 8595])).
% 13.61/9.39 tff(8599,plain,
% 13.61/9.39 (until5(s49)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3113, 8598])).
% 13.61/9.39 tff(8600,plain,
% 13.61/9.39 (~node4(s49)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3097, 36, 8518])).
% 13.61/9.39 tff(8601,plain,
% 13.61/9.39 (xuntil6(s49) | (~until5(s49))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3104, 294, 8600])).
% 13.61/9.39 tff(8602,plain,
% 13.61/9.39 (xuntil6(s49)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8601, 8599])).
% 13.61/9.39 tff(8603,plain,
% 13.61/9.39 (until5(s50)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3084, 8602])).
% 13.61/9.39 tff(8604,plain,
% 13.61/9.39 (~node4(s50)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3052, 36, 8517])).
% 13.61/9.39 tff(8605,plain,
% 13.61/9.39 (xuntil6(s50) | (~until5(s50))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3076, 294, 8604])).
% 13.61/9.39 tff(8606,plain,
% 13.61/9.39 (xuntil6(s50)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8605, 8603])).
% 13.61/9.39 tff(8607,plain,
% 13.61/9.39 (until5(s51)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3069, 8606])).
% 13.61/9.39 tff(8608,plain,
% 13.61/9.39 (~node4(s51)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3056, 36, 8516])).
% 13.61/9.39 tff(8609,plain,
% 13.61/9.39 (xuntil6(s51) | (~until5(s51))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3063, 294, 8608])).
% 13.61/9.39 tff(8610,plain,
% 13.61/9.39 (xuntil6(s51)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8609, 8607])).
% 13.61/9.39 tff(8611,plain,
% 13.61/9.39 (until5(s52)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3453, 8610])).
% 13.61/9.39 tff(8612,plain,
% 13.61/9.39 (~node4(s52)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3462, 36, 8515])).
% 13.61/9.39 tff(8613,plain,
% 13.61/9.39 (xuntil6(s52) | (~until5(s52))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3503, 294, 8612])).
% 13.61/9.39 tff(8614,plain,
% 13.61/9.39 (xuntil6(s52)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8613, 8611])).
% 13.61/9.39 tff(8615,plain,
% 13.61/9.39 (until5(s53)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3509, 8614])).
% 13.61/9.39 tff(8616,plain,
% 13.61/9.39 (~node4(s53)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3518, 36, 8514])).
% 13.61/9.39 tff(8617,plain,
% 13.61/9.39 (xuntil6(s53) | (~until5(s53))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3603, 294, 8616])).
% 13.61/9.39 tff(8618,plain,
% 13.61/9.39 (xuntil6(s53)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8617, 8615])).
% 13.61/9.39 tff(8619,plain,
% 13.61/9.39 (until5(s54)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3609, 8618])).
% 13.61/9.39 tff(8620,plain,
% 13.61/9.39 (~node4(s54)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3618, 36, 8513])).
% 13.61/9.39 tff(8621,plain,
% 13.61/9.39 (xuntil6(s54) | (~until5(s54))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3659, 294, 8620])).
% 13.61/9.39 tff(8622,plain,
% 13.61/9.39 (xuntil6(s54)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8621, 8619])).
% 13.61/9.39 tff(8623,plain,
% 13.61/9.39 (until5(s55)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3665, 8622])).
% 13.61/9.39 tff(8624,plain,
% 13.61/9.39 (~node4(s55)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3674, 36, 8512])).
% 13.61/9.39 tff(8625,plain,
% 13.61/9.39 (xuntil6(s55) | (~until5(s55))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[3715, 294, 8624])).
% 13.61/9.39 tff(8626,plain,
% 13.61/9.39 ($false),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8625, 8623, 8511])).
% 13.61/9.39 tff(8627,plain,(always3(s111) | xuntil6(s111)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.39 tff(8628,plain,
% 13.61/9.39 (always3(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8627, 8379])).
% 13.61/9.39 tff(8629,plain,
% 13.61/9.39 (succ(s111, s112) <=> succ(s111, s112)),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8630,axiom,(succ(s111, s112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound112')).
% 13.61/9.39 tff(8631,plain,
% 13.61/9.39 (succ(s111, s112)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 13.61/9.39 tff(8632,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8633,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8634,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8633, 8632])).
% 13.61/9.39 tff(8635,plain,
% 13.61/9.39 (trans(s111, s112)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8634, 8631, 52])).
% 13.61/9.39 tff(8636,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s111, s112)) | (~always3(s111)) | always3(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s111, s112)) | (~always3(s111)) | always3(s112))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8637,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s111, s112)) | (~always3(s111)) | always3(s112))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8638,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s111, s112)) | (~always3(s111)) | always3(s112)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 13.61/9.39 tff(8639,plain,
% 13.61/9.39 ((~always3(s111)) | always3(s112)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8638, 125, 8635])).
% 13.61/9.39 tff(8640,plain,
% 13.61/9.39 (always3(s112)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8639, 8628])).
% 13.61/9.39 tff(8641,plain,
% 13.61/9.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s112)) | (~m_main_v_state(s112, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s112)) | (~m_main_v_state(s112, c_busy)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8642,plain,
% 13.61/9.39 (((~m_main_v_state(s112, c_busy)) | (~always3(s112))) <=> ((~always3(s112)) | (~m_main_v_state(s112, c_busy)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8643,plain,
% 13.61/9.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s112, c_busy)) | (~always3(s112)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s112)) | (~m_main_v_state(s112, c_busy))))),
% 13.61/9.39 inference(monotonicity,[status(thm)],[8642])).
% 13.61/9.39 tff(8644,plain,
% 13.61/9.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s112, c_busy)) | (~always3(s112)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s112)) | (~m_main_v_state(s112, c_busy)))),
% 13.61/9.39 inference(transitivity,[status(thm)],[8643, 8641])).
% 13.61/9.39 tff(8645,plain,
% 13.61/9.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s112, c_busy)) | (~always3(s112)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8646,plain,
% 13.61/9.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s112)) | (~m_main_v_state(s112, c_busy))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8645, 8644])).
% 13.61/9.39 tff(8647,plain,
% 13.61/9.39 (~m_main_v_state(s112, c_busy)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8646, 85, 8640])).
% 13.61/9.39 tff(8648,assumption,(until5(s111)), introduced(assumption)).
% 13.61/9.39 tff(8649,plain,
% 13.61/9.39 (xuntil6(s111) | node4(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8399, 294, 8648])).
% 13.61/9.39 tff(8650,plain,
% 13.61/9.39 (node4(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8649, 8379])).
% 13.61/9.39 tff(8651,plain,
% 13.61/9.39 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s111) | (~node4(s111)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s111) | (~node4(s111)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8652,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s111) | (~node4(s111)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8653,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s111) | (~node4(s111))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 13.61/9.39 tff(8654,plain,
% 13.61/9.39 (m_main_v_request(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8653, 21, 8650])).
% 13.61/9.39 tff(8655,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s111, s112)) | node2(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s111, s112)) | node2(s111, s112))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8656,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s111, s112)) | node2(s111, s112))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8657,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s111, s112)) | node2(s111, s112)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 13.61/9.39 tff(8658,plain,
% 13.61/9.39 (node2(s111, s112)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8657, 7, 8635])).
% 13.61/9.39 tff(8659,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8660,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8661,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8660, 8659])).
% 13.61/9.39 tff(8662,plain,
% 13.61/9.39 ((~m_main_v_state(s111, c_ready)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111))),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8661, 73, 8658])).
% 13.61/9.39 tff(8663,plain,
% 13.61/9.39 (~m_main_v_state(s111, c_ready)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8662, 8654, 8647])).
% 13.61/9.39 tff(8664,plain,
% 13.61/9.39 (~m_main_v_state(s111, c_busy)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8349, 85, 8628])).
% 13.61/9.39 tff(8665,plain,
% 13.61/9.39 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8666,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8667,plain,
% 13.61/9.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8666, 8665])).
% 13.61/9.39 tff(8668,plain,
% 13.61/9.39 ($false),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8667, 102, 8664, 8663])).
% 13.61/9.39 tff(8669,plain,(xuntil6(s111) | (~until5(s111))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.39 tff(8670,plain,
% 13.61/9.39 (xuntil6(s111)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8669, 8378])).
% 13.61/9.39 tff(8671,plain,
% 13.61/9.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8672,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8673,plain,
% 13.61/9.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112)),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 13.61/9.39 tff(8674,plain,
% 13.61/9.39 ((~xuntil6(s111)) | until5(s112)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8673, 8631, 312])).
% 13.61/9.39 tff(8675,plain,
% 13.61/9.39 (until5(s112)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8674, 8670])).
% 13.61/9.39 tff(8676,assumption,(until5(s112)), introduced(assumption)).
% 13.61/9.39 tff(8677,assumption,(~xuntil6(s113)), introduced(assumption)).
% 13.61/9.39 tff(8678,assumption,(~always3(s113)), introduced(assumption)).
% 13.61/9.39 tff(8679,plain,
% 13.61/9.39 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8680,plain,
% 13.61/9.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8681,plain,
% 13.61/9.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8680, 8679])).
% 13.61/9.39 tff(8682,plain,
% 13.61/9.39 (~node4(s113)),
% 13.61/9.39 inference(unit_resolution,[status(thm)],[8681, 36, 8678])).
% 13.61/9.39 tff(8683,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s113) | node4(s113) | (~until5(s113)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8684,plain,
% 13.61/9.39 ((node4(s113) | (~until5(s113)) | xuntil6(s113)) <=> (xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 13.61/9.39 inference(rewrite,[status(thm)],[])).
% 13.61/9.39 tff(8685,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s113) | node4(s113) | (~until5(s113))))),
% 13.61/9.39 inference(monotonicity,[status(thm)],[8684])).
% 13.61/9.39 tff(8686,plain,
% 13.61/9.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 13.61/9.39 inference(transitivity,[status(thm)],[8685, 8683])).
% 13.61/9.39 tff(8687,plain,
% 13.61/9.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))),
% 13.61/9.39 inference(quant_inst,[status(thm)],[])).
% 13.61/9.39 tff(8688,plain,
% 13.61/9.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113))),
% 13.61/9.39 inference(modus_ponens,[status(thm)],[8687, 8686])).
% 13.61/9.40 tff(8689,plain,
% 13.61/9.40 (node4(s113) | (~until5(s113))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8688, 294, 8677])).
% 13.61/9.40 tff(8690,plain,
% 13.61/9.40 (~until5(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8689, 8682])).
% 13.61/9.40 tff(8691,plain,
% 13.61/9.40 (succ(s112, s113) <=> succ(s112, s113)),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8692,axiom,(succ(s112, s113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound113')).
% 13.61/9.40 tff(8693,plain,
% 13.61/9.40 (succ(s112, s113)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8692, 8691])).
% 13.61/9.40 tff(8694,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8695,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8696,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8695, 8694])).
% 13.61/9.40 tff(8697,plain,
% 13.61/9.40 (trans(s112, s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8696, 8693, 52])).
% 13.61/9.40 tff(8698,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s112, s113)) | (~always3(s112)) | always3(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s112, s113)) | (~always3(s112)) | always3(s113))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8699,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s112, s113)) | (~always3(s112)) | always3(s113))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8700,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s112, s113)) | (~always3(s112)) | always3(s113)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 13.61/9.40 tff(8701,plain,
% 13.61/9.40 ((~always3(s112)) | always3(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8700, 125, 8697])).
% 13.61/9.40 tff(8702,plain,
% 13.61/9.40 (~always3(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8701, 8678])).
% 13.61/9.40 tff(8703,plain,
% 13.61/9.40 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8704,plain,
% 13.61/9.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8705,plain,
% 13.61/9.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8704, 8703])).
% 13.61/9.40 tff(8706,plain,
% 13.61/9.40 (~node4(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8705, 36, 8702])).
% 13.61/9.40 tff(8707,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s112) | node4(s112) | (~until5(s112)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8708,plain,
% 13.61/9.40 ((node4(s112) | (~until5(s112)) | xuntil6(s112)) <=> (xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8709,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s112) | node4(s112) | (~until5(s112))))),
% 13.61/9.40 inference(monotonicity,[status(thm)],[8708])).
% 13.61/9.40 tff(8710,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 13.61/9.40 inference(transitivity,[status(thm)],[8709, 8707])).
% 13.61/9.40 tff(8711,plain,
% 13.61/9.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8712,plain,
% 13.61/9.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8711, 8710])).
% 13.61/9.40 tff(8713,plain,
% 13.61/9.40 (xuntil6(s112) | node4(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8712, 294, 8676])).
% 13.61/9.40 tff(8714,plain,
% 13.61/9.40 (xuntil6(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8713, 8706])).
% 13.61/9.40 tff(8715,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8716,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8717,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8716, 8715])).
% 13.61/9.40 tff(8718,plain,
% 13.61/9.40 ((~xuntil6(s112)) | until5(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8717, 8693, 312])).
% 13.61/9.40 tff(8719,plain,
% 13.61/9.40 ($false),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8718, 8714, 8690])).
% 13.61/9.40 tff(8720,plain,(always3(s113) | (~until5(s112)) | xuntil6(s113)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.40 tff(8721,plain,
% 13.61/9.40 (always3(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8720, 8677, 8676])).
% 13.61/9.40 tff(8722,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s113)) | (~m_main_v_state(s113, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s113)) | (~m_main_v_state(s113, c_busy)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8723,plain,
% 13.61/9.40 (((~m_main_v_state(s113, c_busy)) | (~always3(s113))) <=> ((~always3(s113)) | (~m_main_v_state(s113, c_busy)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8724,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s113, c_busy)) | (~always3(s113)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s113)) | (~m_main_v_state(s113, c_busy))))),
% 13.61/9.40 inference(monotonicity,[status(thm)],[8723])).
% 13.61/9.40 tff(8725,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s113, c_busy)) | (~always3(s113)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s113)) | (~m_main_v_state(s113, c_busy)))),
% 13.61/9.40 inference(transitivity,[status(thm)],[8724, 8722])).
% 13.61/9.40 tff(8726,plain,
% 13.61/9.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s113, c_busy)) | (~always3(s113)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8727,plain,
% 13.61/9.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s113)) | (~m_main_v_state(s113, c_busy))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 13.61/9.40 tff(8728,plain,
% 13.61/9.40 (~m_main_v_state(s113, c_busy)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8727, 85, 8721])).
% 13.61/9.40 tff(8729,plain,
% 13.61/9.40 (succ(s113, s114) <=> succ(s113, s114)),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8730,axiom,(succ(s113, s114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound114')).
% 13.61/9.40 tff(8731,plain,
% 13.61/9.40 (succ(s113, s114)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 13.61/9.40 tff(8732,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8733,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8734,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 13.61/9.40 tff(8735,plain,
% 13.61/9.40 (trans(s113, s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8734, 8731, 52])).
% 13.61/9.40 tff(8736,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s113, s114)) | (~always3(s113)) | always3(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s113, s114)) | (~always3(s113)) | always3(s114))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8737,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s113, s114)) | (~always3(s113)) | always3(s114))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8738,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s113, s114)) | (~always3(s113)) | always3(s114)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 13.61/9.40 tff(8739,plain,
% 13.61/9.40 ((~always3(s113)) | always3(s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8738, 125, 8735])).
% 13.61/9.40 tff(8740,plain,
% 13.61/9.40 (always3(s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8739, 8721])).
% 13.61/9.40 tff(8741,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s114)) | (~m_main_v_state(s114, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s114)) | (~m_main_v_state(s114, c_busy)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8742,plain,
% 13.61/9.40 (((~m_main_v_state(s114, c_busy)) | (~always3(s114))) <=> ((~always3(s114)) | (~m_main_v_state(s114, c_busy)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8743,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s114, c_busy)) | (~always3(s114)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s114)) | (~m_main_v_state(s114, c_busy))))),
% 13.61/9.40 inference(monotonicity,[status(thm)],[8742])).
% 13.61/9.40 tff(8744,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s114, c_busy)) | (~always3(s114)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s114)) | (~m_main_v_state(s114, c_busy)))),
% 13.61/9.40 inference(transitivity,[status(thm)],[8743, 8741])).
% 13.61/9.40 tff(8745,plain,
% 13.61/9.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s114, c_busy)) | (~always3(s114)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8746,plain,
% 13.61/9.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s114)) | (~m_main_v_state(s114, c_busy))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 13.61/9.40 tff(8747,plain,
% 13.61/9.40 (~m_main_v_state(s114, c_busy)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8746, 85, 8740])).
% 13.61/9.40 tff(8748,plain,
% 13.61/9.40 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8749,plain,
% 13.61/9.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8750,plain,
% 13.61/9.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8749, 8748])).
% 13.61/9.40 tff(8751,plain,
% 13.61/9.40 (m_main_v_state(s113, c_ready)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8750, 102, 8728])).
% 13.61/9.40 tff(8752,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s113, s114)) | node2(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s113, s114)) | node2(s113, s114))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8753,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s113, s114)) | node2(s113, s114))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8754,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s113, s114)) | node2(s113, s114)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 13.61/9.40 tff(8755,plain,
% 13.61/9.40 (node2(s113, s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8754, 7, 8735])).
% 13.61/9.40 tff(8756,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8757,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8758,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8757, 8756])).
% 13.61/9.40 tff(8759,plain,
% 13.61/9.40 ((~m_main_v_state(s113, c_ready)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8758, 73, 8755])).
% 13.61/9.40 tff(8760,plain,
% 13.61/9.40 (~m_main_v_request(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8759, 8751, 8747])).
% 13.61/9.40 tff(8761,plain,
% 13.61/9.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s113) | (~node4(s113)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s113) | (~node4(s113)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8762,plain,
% 13.61/9.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s113) | (~node4(s113)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8763,plain,
% 13.61/9.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s113) | (~node4(s113))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8762, 8761])).
% 13.61/9.40 tff(8764,plain,
% 13.61/9.40 (~node4(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8763, 21, 8760])).
% 13.61/9.40 tff(8765,plain,
% 13.61/9.40 (~until5(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8689, 8764])).
% 13.61/9.40 tff(8766,plain,
% 13.61/9.40 (~xuntil6(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8718, 8765])).
% 13.61/9.40 tff(8767,plain,
% 13.61/9.40 (node4(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8713, 8766])).
% 13.61/9.40 tff(8768,plain,
% 13.61/9.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s112) | (~node4(s112)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s112) | (~node4(s112)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8769,plain,
% 13.61/9.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s112) | (~node4(s112)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8770,plain,
% 13.61/9.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s112) | (~node4(s112))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8769, 8768])).
% 13.61/9.40 tff(8771,plain,
% 13.61/9.40 (m_main_v_request(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8770, 21, 8767])).
% 13.61/9.40 tff(8772,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s112, s113)) | node2(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s112, s113)) | node2(s112, s113))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8773,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s112, s113)) | node2(s112, s113))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8774,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s112, s113)) | node2(s112, s113)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 13.61/9.40 tff(8775,plain,
% 13.61/9.40 (node2(s112, s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8774, 7, 8697])).
% 13.61/9.40 tff(8776,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8777,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8778,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 13.61/9.40 tff(8779,plain,
% 13.61/9.40 ((~m_main_v_state(s112, c_ready)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8778, 73, 8775])).
% 13.61/9.40 tff(8780,plain,
% 13.61/9.40 (~m_main_v_state(s112, c_ready)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8779, 8771, 8728])).
% 13.61/9.40 tff(8781,plain,
% 13.61/9.40 (always3(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8705, 36, 8767])).
% 13.61/9.40 tff(8782,plain,
% 13.61/9.40 (~m_main_v_state(s112, c_busy)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8646, 85, 8781])).
% 13.61/9.40 tff(8783,plain,
% 13.61/9.40 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8784,plain,
% 13.61/9.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8785,plain,
% 13.61/9.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8784, 8783])).
% 13.61/9.40 tff(8786,plain,
% 13.61/9.40 ($false),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8785, 102, 8782, 8780])).
% 13.61/9.40 tff(8787,plain,(xuntil6(s113) | (~until5(s112))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.40 tff(8788,plain,
% 13.61/9.40 (xuntil6(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8787, 8675])).
% 13.61/9.40 tff(8789,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8790,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8791,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8790, 8789])).
% 13.61/9.40 tff(8792,plain,
% 13.61/9.40 ((~xuntil6(s113)) | until5(s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8791, 8731, 312])).
% 13.61/9.40 tff(8793,plain,
% 13.61/9.40 (until5(s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8792, 8788])).
% 13.61/9.40 tff(8794,assumption,(~xuntil6(s115)), introduced(assumption)).
% 13.61/9.40 tff(8795,assumption,(~always3(s115)), introduced(assumption)).
% 13.61/9.40 tff(8796,plain,
% 13.61/9.40 (succ(s114, s115) <=> succ(s114, s115)),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8797,axiom,(succ(s114, s115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound115')).
% 13.61/9.40 tff(8798,plain,
% 13.61/9.40 (succ(s114, s115)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8797, 8796])).
% 13.61/9.40 tff(8799,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8800,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8801,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 13.61/9.40 tff(8802,plain,
% 13.61/9.40 (trans(s114, s115)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8801, 8798, 52])).
% 13.61/9.40 tff(8803,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s114, s115)) | (~always3(s114)) | always3(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s114, s115)) | (~always3(s114)) | always3(s115))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8804,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s114, s115)) | (~always3(s114)) | always3(s115))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8805,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s114, s115)) | (~always3(s114)) | always3(s115)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8804, 8803])).
% 13.61/9.40 tff(8806,plain,
% 13.61/9.40 ((~always3(s114)) | always3(s115)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8805, 125, 8802])).
% 13.61/9.40 tff(8807,plain,
% 13.61/9.40 (~always3(s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8806, 8795])).
% 13.61/9.40 tff(8808,plain,
% 13.61/9.40 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8809,plain,
% 13.61/9.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8810,plain,
% 13.61/9.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 13.61/9.40 tff(8811,plain,
% 13.61/9.40 (~node4(s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8810, 36, 8807])).
% 13.61/9.40 tff(8812,plain,
% 13.61/9.40 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8813,plain,
% 13.61/9.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8814,plain,
% 13.61/9.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 13.61/9.40 tff(8815,plain,
% 13.61/9.40 (~node4(s115)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8814, 36, 8795])).
% 13.61/9.40 tff(8816,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s115) | node4(s115) | (~until5(s115)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8817,plain,
% 13.61/9.40 ((node4(s115) | (~until5(s115)) | xuntil6(s115)) <=> (xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8818,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s115) | node4(s115) | (~until5(s115))))),
% 13.61/9.40 inference(monotonicity,[status(thm)],[8817])).
% 13.61/9.40 tff(8819,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 13.61/9.40 inference(transitivity,[status(thm)],[8818, 8816])).
% 13.61/9.40 tff(8820,plain,
% 13.61/9.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8821,plain,
% 13.61/9.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 13.61/9.40 tff(8822,plain,
% 13.61/9.40 (node4(s115) | (~until5(s115))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8821, 294, 8794])).
% 13.61/9.40 tff(8823,plain,
% 13.61/9.40 (~until5(s115)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8822, 8815])).
% 13.61/9.40 tff(8824,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8825,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8826,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 13.61/9.40 tff(8827,plain,
% 13.61/9.40 ((~xuntil6(s114)) | until5(s115)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8826, 8798, 312])).
% 13.61/9.40 tff(8828,plain,
% 13.61/9.40 (~xuntil6(s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8827, 8823])).
% 13.61/9.40 tff(8829,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s114) | node4(s114) | (~until5(s114)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8830,plain,
% 13.61/9.40 ((node4(s114) | (~until5(s114)) | xuntil6(s114)) <=> (xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8831,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s114) | node4(s114) | (~until5(s114))))),
% 13.61/9.40 inference(monotonicity,[status(thm)],[8830])).
% 13.61/9.40 tff(8832,plain,
% 13.61/9.40 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 13.61/9.40 inference(transitivity,[status(thm)],[8831, 8829])).
% 13.61/9.40 tff(8833,plain,
% 13.61/9.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8834,plain,
% 13.61/9.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 13.61/9.40 tff(8835,plain,
% 13.61/9.40 (~until5(s114)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8834, 294, 8828, 8811])).
% 13.61/9.40 tff(8836,plain,
% 13.61/9.40 (~xuntil6(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8792, 8835])).
% 13.61/9.40 tff(8837,plain,
% 13.61/9.40 (~always3(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8739, 8807])).
% 13.61/9.40 tff(8838,plain,
% 13.61/9.40 (~node4(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8681, 36, 8837])).
% 13.61/9.40 tff(8839,plain,
% 13.61/9.40 (xuntil6(s113) | (~until5(s113))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8688, 294, 8838])).
% 13.61/9.40 tff(8840,plain,
% 13.61/9.40 (~until5(s113)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8839, 8836])).
% 13.61/9.40 tff(8841,plain,
% 13.61/9.40 (~xuntil6(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8718, 8840])).
% 13.61/9.40 tff(8842,plain,
% 13.61/9.40 (~always3(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8701, 8837])).
% 13.61/9.40 tff(8843,plain,
% 13.61/9.40 (~node4(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8705, 36, 8842])).
% 13.61/9.40 tff(8844,plain,
% 13.61/9.40 (xuntil6(s112) | (~until5(s112))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8712, 294, 8843])).
% 13.61/9.40 tff(8845,plain,
% 13.61/9.40 (~until5(s112)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8844, 8841])).
% 13.61/9.40 tff(8846,plain,
% 13.61/9.40 (~xuntil6(s111)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8674, 8845])).
% 13.61/9.40 tff(8847,plain,
% 13.61/9.40 (~always3(s111)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8639, 8842])).
% 13.61/9.40 tff(8848,plain,
% 13.61/9.40 (~node4(s111)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8392, 36, 8847])).
% 13.61/9.40 tff(8849,plain,
% 13.61/9.40 (xuntil6(s111) | (~until5(s111))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8399, 294, 8848])).
% 13.61/9.40 tff(8850,plain,
% 13.61/9.40 (~until5(s111)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8849, 8846])).
% 13.61/9.40 tff(8851,plain,
% 13.61/9.40 (~xuntil6(s110)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8377, 8850])).
% 13.61/9.40 tff(8852,plain,
% 13.61/9.40 (~always3(s110)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8342, 8847])).
% 13.61/9.40 tff(8853,plain,
% 13.61/9.40 (~node4(s110)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8330, 36, 8852])).
% 13.61/9.40 tff(8854,plain,
% 13.61/9.40 (xuntil6(s110) | (~until5(s110))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8371, 294, 8853])).
% 13.61/9.40 tff(8855,plain,
% 13.61/9.40 (~until5(s110)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8854, 8851])).
% 13.61/9.40 tff(8856,plain,
% 13.61/9.40 (~always3(s109)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8183, 8852])).
% 13.61/9.40 tff(8857,plain,
% 13.61/9.40 (~always3(s108)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8019, 8856])).
% 13.61/9.40 tff(8858,plain,
% 13.61/9.40 (~always3(s107)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8064, 8857])).
% 13.61/9.40 tff(8859,plain,
% 13.61/9.40 (~always3(s106)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8076, 8858])).
% 13.61/9.40 tff(8860,plain,
% 13.61/9.40 (~always3(s105)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8092, 8859])).
% 13.61/9.40 tff(8861,plain,
% 13.61/9.40 (~node4(s105)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8096, 36, 8860])).
% 13.61/9.40 tff(8862,plain,
% 13.61/9.40 (~always3(s104)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[7969, 8860])).
% 13.61/9.40 tff(8863,plain,
% 13.61/9.40 (~node4(s104)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[7787, 36, 8862])).
% 13.61/9.40 tff(8864,plain,
% 13.61/9.40 (xuntil6(s104)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[7979, 8863])).
% 13.61/9.40 tff(8865,plain,
% 13.61/9.40 (until5(s105)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8004, 8864])).
% 13.61/9.40 tff(8866,plain,
% 13.61/9.40 (xuntil6(s105)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8103, 294, 8865, 8861])).
% 13.61/9.40 tff(8867,plain,
% 13.61/9.40 (until5(s106)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8109, 8866])).
% 13.61/9.40 tff(8868,plain,
% 13.61/9.40 (~node4(s106)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8080, 36, 8859])).
% 13.61/9.40 tff(8869,plain,
% 13.61/9.40 (xuntil6(s106) | (~until5(s106))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8116, 294, 8868])).
% 13.61/9.40 tff(8870,plain,
% 13.61/9.40 (xuntil6(s106)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8869, 8867])).
% 13.61/9.40 tff(8871,plain,
% 13.61/9.40 (until5(s107)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8121, 8870])).
% 13.61/9.40 tff(8872,plain,
% 13.61/9.40 (~node4(s107)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8125, 36, 8858])).
% 13.61/9.40 tff(8873,plain,
% 13.61/9.40 (xuntil6(s107) | (~until5(s107))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8132, 294, 8872])).
% 13.61/9.40 tff(8874,plain,
% 13.61/9.40 (xuntil6(s107)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8873, 8871])).
% 13.61/9.40 tff(8875,plain,
% 13.61/9.40 (until5(s108)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8055, 8874])).
% 13.61/9.40 tff(8876,plain,
% 13.61/9.40 (~node4(s108)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8023, 36, 8857])).
% 13.61/9.40 tff(8877,plain,
% 13.61/9.40 (xuntil6(s108) | (~until5(s108))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8047, 294, 8876])).
% 13.61/9.40 tff(8878,plain,
% 13.61/9.40 (xuntil6(s108)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8877, 8875])).
% 13.61/9.40 tff(8879,plain,
% 13.61/9.40 (until5(s109)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8040, 8878])).
% 13.61/9.40 tff(8880,plain,
% 13.61/9.40 (~node4(s109)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8027, 36, 8856])).
% 13.61/9.40 tff(8881,plain,
% 13.61/9.40 (xuntil6(s109) | (~until5(s109))),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8034, 294, 8880])).
% 13.61/9.40 tff(8882,plain,
% 13.61/9.40 (xuntil6(s109)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8881, 8879])).
% 13.61/9.40 tff(8883,plain,
% 13.61/9.40 ($false),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8321, 8882, 8855])).
% 13.61/9.40 tff(8884,plain,(always3(s115) | (~until5(s104)) | xuntil6(s115)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.40 tff(8885,plain,
% 13.61/9.40 (always3(s115)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8884, 8794, 7978])).
% 13.61/9.40 tff(8886,plain,
% 13.61/9.40 (succ(s115, s116) <=> succ(s115, s116)),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8887,axiom,(succ(s115, s116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound116')).
% 13.61/9.40 tff(8888,plain,
% 13.61/9.40 (succ(s115, s116)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 13.61/9.40 tff(8889,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8890,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8891,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 13.61/9.40 tff(8892,plain,
% 13.61/9.40 (trans(s115, s116)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8891, 8888, 52])).
% 13.61/9.40 tff(8893,plain,
% 13.61/9.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s115, s116)) | (~always3(s115)) | always3(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s115, s116)) | (~always3(s115)) | always3(s116))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8894,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s115, s116)) | (~always3(s115)) | always3(s116))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8895,plain,
% 13.61/9.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s115, s116)) | (~always3(s115)) | always3(s116)),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8894, 8893])).
% 13.61/9.40 tff(8896,plain,
% 13.61/9.40 ((~always3(s115)) | always3(s116)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8895, 125, 8892])).
% 13.61/9.40 tff(8897,plain,
% 13.61/9.40 (always3(s116)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8896, 8885])).
% 13.61/9.40 tff(8898,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s116)) | (~m_main_v_state(s116, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s116)) | (~m_main_v_state(s116, c_busy)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8899,plain,
% 13.61/9.40 (((~m_main_v_state(s116, c_busy)) | (~always3(s116))) <=> ((~always3(s116)) | (~m_main_v_state(s116, c_busy)))),
% 13.61/9.40 inference(rewrite,[status(thm)],[])).
% 13.61/9.40 tff(8900,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s116, c_busy)) | (~always3(s116)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s116)) | (~m_main_v_state(s116, c_busy))))),
% 13.61/9.40 inference(monotonicity,[status(thm)],[8899])).
% 13.61/9.40 tff(8901,plain,
% 13.61/9.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s116, c_busy)) | (~always3(s116)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s116)) | (~m_main_v_state(s116, c_busy)))),
% 13.61/9.40 inference(transitivity,[status(thm)],[8900, 8898])).
% 13.61/9.40 tff(8902,plain,
% 13.61/9.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s116, c_busy)) | (~always3(s116)))),
% 13.61/9.40 inference(quant_inst,[status(thm)],[])).
% 13.61/9.40 tff(8903,plain,
% 13.61/9.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s116)) | (~m_main_v_state(s116, c_busy))),
% 13.61/9.40 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 13.61/9.40 tff(8904,plain,
% 13.61/9.40 (~m_main_v_state(s116, c_busy)),
% 13.61/9.40 inference(unit_resolution,[status(thm)],[8903, 85, 8897])).
% 13.61/9.40 tff(8905,assumption,(until5(s115)), introduced(assumption)).
% 13.61/9.41 tff(8906,plain,
% 13.61/9.41 (xuntil6(s115) | node4(s115)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8821, 294, 8905])).
% 13.61/9.41 tff(8907,plain,
% 13.61/9.41 (node4(s115)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8906, 8794])).
% 13.61/9.41 tff(8908,plain,
% 13.61/9.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s115) | (~node4(s115)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s115) | (~node4(s115)))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8909,plain,
% 13.61/9.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s115) | (~node4(s115)))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8910,plain,
% 13.61/9.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s115) | (~node4(s115))),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8909, 8908])).
% 13.61/9.41 tff(8911,plain,
% 13.61/9.41 (m_main_v_request(s115)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8910, 21, 8907])).
% 13.61/9.41 tff(8912,plain,
% 13.61/9.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s115, s116)) | node2(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s115, s116)) | node2(s115, s116))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8913,plain,
% 13.61/9.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s115, s116)) | node2(s115, s116))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8914,plain,
% 13.61/9.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s115, s116)) | node2(s115, s116)),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8913, 8912])).
% 13.61/9.41 tff(8915,plain,
% 13.61/9.41 (node2(s115, s116)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8914, 7, 8892])).
% 13.61/9.41 tff(8916,plain,
% 13.61/9.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115)))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8917,plain,
% 13.61/9.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115)))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8918,plain,
% 13.61/9.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115))),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8917, 8916])).
% 13.61/9.41 tff(8919,plain,
% 13.61/9.41 ((~m_main_v_state(s115, c_ready)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8918, 73, 8915])).
% 13.61/9.41 tff(8920,plain,
% 13.61/9.41 (~m_main_v_state(s115, c_ready)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8919, 8911, 8904])).
% 13.61/9.41 tff(8921,plain,
% 13.61/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s115)) | (~m_main_v_state(s115, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s115)) | (~m_main_v_state(s115, c_busy)))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8922,plain,
% 13.61/9.41 (((~m_main_v_state(s115, c_busy)) | (~always3(s115))) <=> ((~always3(s115)) | (~m_main_v_state(s115, c_busy)))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8923,plain,
% 13.61/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s115, c_busy)) | (~always3(s115)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s115)) | (~m_main_v_state(s115, c_busy))))),
% 13.61/9.41 inference(monotonicity,[status(thm)],[8922])).
% 13.61/9.41 tff(8924,plain,
% 13.61/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s115, c_busy)) | (~always3(s115)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s115)) | (~m_main_v_state(s115, c_busy)))),
% 13.61/9.41 inference(transitivity,[status(thm)],[8923, 8921])).
% 13.61/9.41 tff(8925,plain,
% 13.61/9.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s115, c_busy)) | (~always3(s115)))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8926,plain,
% 13.61/9.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s115)) | (~m_main_v_state(s115, c_busy))),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 13.61/9.41 tff(8927,plain,
% 13.61/9.41 (~m_main_v_state(s115, c_busy)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8926, 85, 8885])).
% 13.61/9.41 tff(8928,plain,
% 13.61/9.41 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8929,plain,
% 13.61/9.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8930,plain,
% 13.61/9.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready)),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8929, 8928])).
% 13.61/9.41 tff(8931,plain,
% 13.61/9.41 ($false),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8930, 102, 8927, 8920])).
% 13.61/9.41 tff(8932,plain,(xuntil6(s115) | (~until5(s115)) | (~until5(s104))), inference(lemma,lemma(discharge,[]))).
% 13.61/9.41 tff(8933,plain,
% 13.61/9.41 (~until5(s115)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8932, 8794, 7978])).
% 13.61/9.41 tff(8934,plain,
% 13.61/9.41 (~xuntil6(s114)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8827, 8933])).
% 13.61/9.41 tff(8935,assumption,(until5(s114)), introduced(assumption)).
% 13.61/9.41 tff(8936,plain,
% 13.61/9.41 (xuntil6(s114) | node4(s114)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8834, 294, 8935])).
% 13.61/9.41 tff(8937,plain,
% 13.61/9.41 (node4(s114)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8936, 8934])).
% 13.61/9.41 tff(8938,assumption,(~m_main_v_state(s115, c_busy)), introduced(assumption)).
% 13.61/9.41 tff(8939,assumption,(node4(s114)), introduced(assumption)).
% 13.61/9.41 tff(8940,plain,
% 13.61/9.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s114) | (~node4(s114)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s114) | (~node4(s114)))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8941,plain,
% 13.61/9.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s114) | (~node4(s114)))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8942,plain,
% 13.61/9.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s114) | (~node4(s114))),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 13.61/9.41 tff(8943,plain,
% 13.61/9.41 (m_main_v_request(s114)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8942, 21, 8939])).
% 13.61/9.41 tff(8944,plain,
% 13.61/9.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s114, s115)) | node2(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s114, s115)) | node2(s114, s115))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8945,plain,
% 13.61/9.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s114, s115)) | node2(s114, s115))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8946,plain,
% 13.61/9.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s114, s115)) | node2(s114, s115)),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 13.61/9.41 tff(8947,plain,
% 13.61/9.41 (node2(s114, s115)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8946, 7, 8802])).
% 13.61/9.41 tff(8948,plain,
% 13.61/9.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114)))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8949,plain,
% 13.61/9.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114)))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8950,plain,
% 13.61/9.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114))),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 13.61/9.41 tff(8951,plain,
% 13.61/9.41 ((~m_main_v_state(s114, c_ready)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8950, 73, 8947])).
% 13.61/9.41 tff(8952,plain,
% 13.61/9.41 (~m_main_v_state(s114, c_ready)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8951, 8943, 8938])).
% 13.61/9.41 tff(8953,plain,
% 13.61/9.41 (always3(s114)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8810, 36, 8939])).
% 13.61/9.41 tff(8954,plain,
% 13.61/9.41 (~m_main_v_state(s114, c_busy)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8746, 85, 8953])).
% 13.61/9.41 tff(8955,plain,
% 13.61/9.41 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready))),
% 13.61/9.41 inference(rewrite,[status(thm)],[])).
% 13.61/9.41 tff(8956,plain,
% 13.61/9.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready))),
% 13.61/9.41 inference(quant_inst,[status(thm)],[])).
% 13.61/9.41 tff(8957,plain,
% 13.61/9.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready)),
% 13.61/9.41 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 13.61/9.41 tff(8958,plain,
% 13.61/9.41 ($false),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8957, 102, 8954, 8952])).
% 13.61/9.41 tff(8959,plain,((~node4(s114)) | m_main_v_state(s115, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.61/9.41 tff(8960,plain,
% 13.61/9.41 (m_main_v_state(s115, c_busy)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8959, 8937])).
% 13.61/9.41 tff(8961,plain,
% 13.61/9.41 (~always3(s103)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7454, 8862])).
% 13.61/9.41 tff(8962,plain,
% 13.61/9.41 (~always3(s102)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7088, 8961])).
% 13.61/9.41 tff(8963,plain,
% 13.61/9.41 (~always3(s101)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7133, 8962])).
% 13.61/9.41 tff(8964,plain,
% 13.61/9.41 (~always3(s100)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7162, 8963])).
% 13.61/9.41 tff(8965,plain,
% 13.61/9.41 (~always3(s99)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7191, 8964])).
% 13.61/9.41 tff(8966,plain,
% 13.61/9.41 (~always3(s98)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7220, 8965])).
% 13.61/9.41 tff(8967,plain,
% 13.61/9.41 (~always3(s97)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7016, 8966])).
% 13.61/9.41 tff(8968,plain,
% 13.61/9.41 (~always3(s96)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[6978, 8967])).
% 13.61/9.41 tff(8969,plain,
% 13.61/9.41 (~always3(s95)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7252, 8968])).
% 13.61/9.41 tff(8970,plain,
% 13.61/9.41 (~always3(s94)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[6622, 8969])).
% 13.61/9.41 tff(8971,plain,
% 13.61/9.41 (~always3(s93)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[6572, 8970])).
% 13.61/9.41 tff(8972,plain,
% 13.61/9.41 (~always3(s92)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[6516, 8971])).
% 13.61/9.41 tff(8973,plain,
% 13.61/9.41 (~always3(s91)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[6312, 8972])).
% 13.61/9.41 tff(8974,plain,
% 13.61/9.41 (~always3(s90)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5700, 8973])).
% 13.61/9.41 tff(8975,plain,
% 13.61/9.41 (~always3(s89)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5712, 8974])).
% 13.61/9.41 tff(8976,plain,
% 13.61/9.41 (~always3(s88)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5724, 8975])).
% 13.61/9.41 tff(8977,plain,
% 13.61/9.41 (~always3(s87)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5736, 8976])).
% 13.61/9.41 tff(8978,plain,
% 13.61/9.41 (~always3(s86)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5748, 8977])).
% 13.61/9.41 tff(8979,plain,
% 13.61/9.41 (~always3(s85)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5760, 8978])).
% 13.61/9.41 tff(8980,plain,
% 13.61/9.41 (~always3(s84)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5772, 8979])).
% 13.61/9.41 tff(8981,plain,
% 13.61/9.41 (~always3(s83)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5784, 8980])).
% 13.61/9.41 tff(8982,plain,
% 13.61/9.41 (~always3(s82)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5796, 8981])).
% 13.61/9.41 tff(8983,plain,
% 13.61/9.41 (~always3(s81)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[6219, 8982])).
% 13.61/9.41 tff(8984,plain,
% 13.61/9.41 (~always3(s80)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5627, 8983])).
% 13.61/9.41 tff(8985,plain,
% 13.61/9.41 (~always3(s79)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5571, 8984])).
% 13.61/9.41 tff(8986,plain,
% 13.61/9.41 (~always3(s78)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5515, 8985])).
% 13.61/9.41 tff(8987,plain,
% 13.61/9.41 (~always3(s77)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5459, 8986])).
% 13.61/9.41 tff(8988,plain,
% 13.61/9.41 (~always3(s76)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5403, 8987])).
% 13.61/9.41 tff(8989,plain,
% 13.61/9.41 (~always3(s75)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5347, 8988])).
% 13.61/9.41 tff(8990,plain,
% 13.61/9.41 (~always3(s74)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5291, 8989])).
% 13.61/9.41 tff(8991,plain,
% 13.61/9.41 (~always3(s73)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5235, 8990])).
% 13.61/9.41 tff(8992,plain,
% 13.61/9.41 (~always3(s72)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5179, 8991])).
% 13.61/9.41 tff(8993,plain,
% 13.61/9.41 (~always3(s71)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5123, 8992])).
% 13.61/9.41 tff(8994,plain,
% 13.61/9.41 (~always3(s70)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5067, 8993])).
% 13.61/9.41 tff(8995,plain,
% 13.61/9.41 (~always3(s69)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[5011, 8994])).
% 13.61/9.41 tff(8996,plain,
% 13.61/9.41 (~always3(s68)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4955, 8995])).
% 13.61/9.41 tff(8997,plain,
% 13.61/9.41 (~always3(s67)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4899, 8996])).
% 13.61/9.41 tff(8998,plain,
% 13.61/9.41 (~always3(s66)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4835, 8997])).
% 13.61/9.41 tff(8999,plain,
% 13.61/9.41 (~always3(s65)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[129, 8998])).
% 13.61/9.41 tff(9000,plain,
% 13.61/9.41 (~always3(s64)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4721, 8999])).
% 13.61/9.41 tff(9001,plain,
% 13.61/9.41 (~always3(s63)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4528, 9000])).
% 13.61/9.41 tff(9002,plain,
% 13.61/9.41 (~node4(s63)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4532, 36, 9001])).
% 13.61/9.41 tff(9003,plain,
% 13.61/9.41 (~node4(s64)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4536, 36, 9000])).
% 13.61/9.41 tff(9004,plain,
% 13.61/9.41 (~until5(s104)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[8884, 8795, 8794])).
% 13.61/9.41 tff(9005,plain,
% 13.61/9.41 (~xuntil6(s103)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7740, 9004])).
% 13.61/9.41 tff(9006,plain,
% 13.61/9.41 (~until5(s65)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[7405, 8961, 9005])).
% 13.61/9.41 tff(9007,plain,
% 13.61/9.41 (~xuntil6(s64)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4786, 9006])).
% 13.61/9.41 tff(9008,plain,
% 13.61/9.41 (~until5(s64)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4543, 294, 9007, 9003])).
% 13.61/9.41 tff(9009,plain,
% 13.61/9.41 (~xuntil6(s63)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4549, 9008])).
% 13.61/9.41 tff(9010,plain,
% 13.61/9.41 (~until5(s63)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4556, 294, 9009, 9002])).
% 13.61/9.41 tff(9011,plain,
% 13.61/9.41 (~xuntil6(s62)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4514, 9010])).
% 13.61/9.41 tff(9012,plain,
% 13.61/9.41 (~always3(s62)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4065, 9001])).
% 13.61/9.41 tff(9013,plain,
% 13.61/9.41 (~node4(s62)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3937, 36, 9012])).
% 13.61/9.41 tff(9014,plain,
% 13.61/9.41 (xuntil6(s62) | (~until5(s62))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3944, 294, 9013])).
% 13.61/9.41 tff(9015,plain,
% 13.61/9.41 (~until5(s62)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9014, 9011])).
% 13.61/9.41 tff(9016,plain,
% 13.61/9.41 (~xuntil6(s61)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3950, 9015])).
% 13.61/9.41 tff(9017,plain,
% 13.61/9.41 (~always3(s61)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3929, 9012])).
% 13.61/9.41 tff(9018,plain,
% 13.61/9.41 (~node4(s61)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3933, 36, 9017])).
% 13.61/9.41 tff(9019,plain,
% 13.61/9.41 (xuntil6(s61) | (~until5(s61))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3957, 294, 9018])).
% 13.61/9.41 tff(9020,plain,
% 13.61/9.41 (~until5(s61)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9019, 9016])).
% 13.61/9.41 tff(9021,plain,
% 13.61/9.41 (~xuntil6(s60)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4015, 9020])).
% 13.61/9.41 tff(9022,plain,
% 13.61/9.41 (~always3(s60)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3969, 9017])).
% 13.61/9.41 tff(9023,plain,
% 13.61/9.41 (~node4(s60)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3973, 36, 9022])).
% 13.61/9.41 tff(9024,plain,
% 13.61/9.41 (xuntil6(s60) | (~until5(s60))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4010, 294, 9023])).
% 13.61/9.41 tff(9025,plain,
% 13.61/9.41 (~until5(s60)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9024, 9021])).
% 13.61/9.41 tff(9026,plain,
% 13.61/9.41 (~xuntil6(s59)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[4003, 9025])).
% 13.61/9.41 tff(9027,plain,
% 13.61/9.41 (~always3(s59)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3985, 9022])).
% 13.61/9.41 tff(9028,plain,
% 13.61/9.41 (~node4(s59)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3989, 36, 9027])).
% 13.61/9.41 tff(9029,plain,
% 13.61/9.41 (xuntil6(s59) | (~until5(s59))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3997, 294, 9028])).
% 13.61/9.41 tff(9030,plain,
% 13.61/9.41 (~until5(s59)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9029, 9026])).
% 13.61/9.41 tff(9031,plain,
% 13.61/9.41 (~xuntil6(s58)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3916, 9030])).
% 13.61/9.41 tff(9032,plain,
% 13.61/9.41 (~always3(s58)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3735, 9027])).
% 13.61/9.41 tff(9033,plain,
% 13.61/9.41 (~node4(s58)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3874, 36, 9032])).
% 13.61/9.41 tff(9034,plain,
% 13.61/9.41 (xuntil6(s58) | (~until5(s58))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3910, 294, 9033])).
% 13.61/9.41 tff(9035,plain,
% 13.61/9.41 (~until5(s58)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9034, 9031])).
% 13.61/9.41 tff(9036,plain,
% 13.61/9.41 (~xuntil6(s57)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3865, 9035])).
% 13.61/9.41 tff(9037,plain,
% 13.61/9.41 (~always3(s57)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3747, 9032])).
% 13.61/9.41 tff(9038,plain,
% 13.61/9.41 (~node4(s57)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3852, 36, 9037])).
% 13.61/9.41 tff(9039,plain,
% 13.61/9.41 (xuntil6(s57) | (~until5(s57))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3859, 294, 9038])).
% 13.61/9.41 tff(9040,plain,
% 13.61/9.41 (~until5(s57)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9039, 9036])).
% 13.61/9.41 tff(9041,plain,
% 13.61/9.41 (~xuntil6(s56)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3848, 9040])).
% 13.61/9.41 tff(9042,plain,
% 13.61/9.41 (~always3(s56)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3759, 9037])).
% 13.61/9.41 tff(9043,plain,
% 13.61/9.41 (~node4(s56)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3835, 36, 9042])).
% 13.61/9.41 tff(9044,plain,
% 13.61/9.41 (xuntil6(s56) | (~until5(s56))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3842, 294, 9043])).
% 13.61/9.41 tff(9045,plain,
% 13.61/9.41 (~until5(s56)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9044, 9041])).
% 13.61/9.41 tff(9046,plain,
% 13.61/9.41 (~xuntil6(s55)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3721, 9045])).
% 13.61/9.41 tff(9047,plain,
% 13.61/9.41 (~always3(s55)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3686, 9042])).
% 13.61/9.41 tff(9048,plain,
% 13.61/9.41 (~node4(s55)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3674, 36, 9047])).
% 13.61/9.41 tff(9049,plain,
% 13.61/9.41 (xuntil6(s55) | (~until5(s55))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3715, 294, 9048])).
% 13.61/9.41 tff(9050,plain,
% 13.61/9.41 (~until5(s55)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9049, 9046])).
% 13.61/9.41 tff(9051,plain,
% 13.61/9.41 (~xuntil6(s54)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3665, 9050])).
% 13.61/9.41 tff(9052,plain,
% 13.61/9.41 (~always3(s54)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3630, 9047])).
% 13.61/9.41 tff(9053,plain,
% 13.61/9.41 (~node4(s54)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3618, 36, 9052])).
% 13.61/9.41 tff(9054,plain,
% 13.61/9.41 (xuntil6(s54) | (~until5(s54))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3659, 294, 9053])).
% 13.61/9.41 tff(9055,plain,
% 13.61/9.41 (~until5(s54)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9054, 9051])).
% 13.61/9.41 tff(9056,plain,
% 13.61/9.41 (~xuntil6(s53)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3609, 9055])).
% 13.61/9.41 tff(9057,plain,
% 13.61/9.41 (~always3(s53)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3530, 9052])).
% 13.61/9.41 tff(9058,plain,
% 13.61/9.41 (~node4(s53)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3518, 36, 9057])).
% 13.61/9.41 tff(9059,plain,
% 13.61/9.41 (xuntil6(s53) | (~until5(s53))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3603, 294, 9058])).
% 13.61/9.41 tff(9060,plain,
% 13.61/9.41 (~until5(s53)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9059, 9056])).
% 13.61/9.41 tff(9061,plain,
% 13.61/9.41 (~xuntil6(s52)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3509, 9060])).
% 13.61/9.41 tff(9062,plain,
% 13.61/9.41 (~always3(s52)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3474, 9057])).
% 13.61/9.41 tff(9063,plain,
% 13.61/9.41 (~node4(s52)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3462, 36, 9062])).
% 13.61/9.41 tff(9064,plain,
% 13.61/9.41 (xuntil6(s52) | (~until5(s52))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3503, 294, 9063])).
% 13.61/9.41 tff(9065,plain,
% 13.61/9.41 (~until5(s52)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9064, 9061])).
% 13.61/9.41 tff(9066,plain,
% 13.61/9.41 (~xuntil6(s51)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3453, 9065])).
% 13.61/9.41 tff(9067,plain,
% 13.61/9.41 (~always3(s51)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3232, 9062])).
% 13.61/9.41 tff(9068,plain,
% 13.61/9.41 (~always3(s50)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3048, 9067])).
% 13.61/9.41 tff(9069,plain,
% 13.61/9.41 (~always3(s49)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3093, 9068])).
% 13.61/9.41 tff(9070,plain,
% 13.61/9.41 (~always3(s48)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3122, 9069])).
% 13.61/9.41 tff(9071,plain,
% 13.61/9.41 (~always3(s47)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3151, 9070])).
% 13.61/9.41 tff(9072,plain,
% 13.61/9.41 (~always3(s46)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3175, 9071])).
% 13.61/9.41 tff(9073,plain,
% 13.61/9.41 (~always3(s45)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3000, 9072])).
% 13.61/9.41 tff(9074,plain,
% 13.61/9.41 (~always3(s44)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2944, 9073])).
% 13.61/9.41 tff(9075,plain,
% 13.61/9.41 (~always3(s43)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2888, 9074])).
% 13.61/9.41 tff(9076,plain,
% 13.61/9.41 (~always3(s42)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2832, 9075])).
% 13.61/9.41 tff(9077,plain,
% 13.61/9.41 (~always3(s41)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2773, 9076])).
% 13.61/9.41 tff(9078,plain,
% 13.61/9.41 (~always3(s40)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2699, 9077])).
% 13.61/9.41 tff(9079,plain,
% 13.61/9.41 (~always3(s39)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2661, 9078])).
% 13.61/9.41 tff(9080,plain,
% 13.61/9.41 (~node4(s39)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2665, 36, 9079])).
% 13.61/9.41 tff(9081,plain,
% 13.61/9.41 (~always3(s38)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2599, 9079])).
% 13.61/9.41 tff(9082,plain,
% 13.61/9.41 (~node4(s38)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2587, 36, 9081])).
% 13.61/9.41 tff(9083,plain,
% 13.61/9.41 (~always3(s37)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1912, 9081])).
% 13.61/9.41 tff(9084,plain,
% 13.61/9.41 (~always3(s36)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1333, 9083])).
% 13.61/9.41 tff(9085,plain,
% 13.61/9.41 (~always3(s35)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1378, 9084])).
% 13.61/9.41 tff(9086,plain,
% 13.61/9.41 (~always3(s34)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1407, 9085])).
% 13.61/9.41 tff(9087,plain,
% 13.61/9.41 (~always3(s33)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1436, 9086])).
% 13.61/9.41 tff(9088,plain,
% 13.61/9.41 (~always3(s32)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[200, 9087])).
% 13.61/9.41 tff(9089,plain,
% 13.61/9.41 (~always3(s31)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1480, 9088])).
% 13.61/9.41 tff(9090,plain,
% 13.61/9.41 (~always3(s30)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[249, 9089])).
% 13.61/9.41 tff(9091,plain,
% 13.61/9.41 (~always3(s29)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1524, 9090])).
% 13.61/9.41 tff(9092,plain,
% 13.61/9.41 (~always3(s28)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[151, 9091])).
% 13.61/9.41 tff(9093,plain,
% 13.61/9.41 (~always3(s27)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1568, 9092])).
% 13.61/9.41 tff(9094,plain,
% 13.61/9.41 (~always3(s26)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1592, 9093])).
% 13.61/9.41 tff(9095,plain,
% 13.61/9.41 (~always3(s25)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1604, 9094])).
% 13.61/9.41 tff(9096,plain,
% 13.61/9.41 (~always3(s24)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1616, 9095])).
% 13.61/9.41 tff(9097,plain,
% 13.61/9.41 (~always3(s23)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1628, 9096])).
% 13.61/9.41 tff(9098,plain,
% 13.61/9.41 (~always3(s22)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1640, 9097])).
% 13.61/9.41 tff(9099,plain,
% 13.61/9.41 (~always3(s21)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1652, 9098])).
% 13.61/9.41 tff(9100,plain,
% 13.61/9.41 (~always3(s20)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1664, 9099])).
% 13.61/9.41 tff(9101,plain,
% 13.61/9.41 (~always3(s19)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1676, 9100])).
% 13.61/9.41 tff(9102,plain,
% 13.61/9.41 (~always3(s18)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1688, 9101])).
% 13.61/9.41 tff(9103,plain,
% 13.61/9.41 (~always3(s17)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1700, 9102])).
% 13.61/9.41 tff(9104,plain,
% 13.61/9.41 (~always3(s16)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1716, 9103])).
% 13.61/9.41 tff(9105,plain,
% 13.61/9.41 (~always3(s15)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1259, 9104])).
% 13.61/9.41 tff(9106,plain,
% 13.61/9.41 (xuntil6(s15)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1240, 9105])).
% 13.61/9.41 tff(9107,plain,
% 13.61/9.41 (until5(s16)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1318, 9106])).
% 13.61/9.41 tff(9108,plain,
% 13.61/9.41 (xuntil6(s37)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[1900, 9107, 9083])).
% 13.61/9.41 tff(9109,plain,
% 13.61/9.41 (until5(s38)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2578, 9108])).
% 13.61/9.41 tff(9110,plain,
% 13.61/9.41 (xuntil6(s38) | node4(s38)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2628, 294, 9109])).
% 13.61/9.41 tff(9111,plain,
% 13.61/9.41 (xuntil6(s38)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9110, 9082])).
% 13.61/9.41 tff(9112,plain,
% 13.61/9.41 (until5(s39)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2634, 9111])).
% 13.61/9.41 tff(9113,plain,
% 13.61/9.41 (xuntil6(s39)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2672, 294, 9112, 9080])).
% 13.61/9.41 tff(9114,plain,
% 13.61/9.41 (until5(s40)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2678, 9113])).
% 13.61/9.41 tff(9115,plain,
% 13.61/9.41 (~node4(s40)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2641, 36, 9078])).
% 13.61/9.41 tff(9116,plain,
% 13.61/9.41 (xuntil6(s40) | (~until5(s40))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2648, 294, 9115])).
% 13.61/9.41 tff(9117,plain,
% 13.61/9.41 (xuntil6(s40)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9116, 9114])).
% 13.61/9.41 tff(9118,plain,
% 13.61/9.41 (until5(s41)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2752, 9117])).
% 13.61/9.41 tff(9119,plain,
% 13.61/9.41 (~node4(s41)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2761, 36, 9077])).
% 13.61/9.41 tff(9120,plain,
% 13.61/9.41 (xuntil6(s41) | (~until5(s41))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2802, 294, 9119])).
% 13.61/9.41 tff(9121,plain,
% 13.61/9.41 (xuntil6(s41)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9120, 9118])).
% 13.61/9.41 tff(9122,plain,
% 13.61/9.41 (until5(s42)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2808, 9121])).
% 13.61/9.41 tff(9123,plain,
% 13.61/9.41 (~node4(s42)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2820, 36, 9076])).
% 13.61/9.41 tff(9124,plain,
% 13.61/9.41 (xuntil6(s42) | (~until5(s42))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2861, 294, 9123])).
% 13.61/9.41 tff(9125,plain,
% 13.61/9.41 (xuntil6(s42)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9124, 9122])).
% 13.61/9.41 tff(9126,plain,
% 13.61/9.41 (until5(s43)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2867, 9125])).
% 13.61/9.41 tff(9127,plain,
% 13.61/9.41 (~node4(s43)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2876, 36, 9075])).
% 13.61/9.41 tff(9128,plain,
% 13.61/9.41 (xuntil6(s43) | (~until5(s43))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2917, 294, 9127])).
% 13.61/9.41 tff(9129,plain,
% 13.61/9.41 (xuntil6(s43)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9128, 9126])).
% 13.61/9.41 tff(9130,plain,
% 13.61/9.41 (until5(s44)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2923, 9129])).
% 13.61/9.41 tff(9131,plain,
% 13.61/9.41 (~node4(s44)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2932, 36, 9074])).
% 13.61/9.41 tff(9132,plain,
% 13.61/9.41 (xuntil6(s44) | (~until5(s44))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2973, 294, 9131])).
% 13.61/9.41 tff(9133,plain,
% 13.61/9.41 (xuntil6(s44)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9132, 9130])).
% 13.61/9.41 tff(9134,plain,
% 13.61/9.41 (until5(s45)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2979, 9133])).
% 13.61/9.41 tff(9135,plain,
% 13.61/9.41 (~node4(s45)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[2988, 36, 9073])).
% 13.61/9.41 tff(9136,plain,
% 13.61/9.41 (xuntil6(s45) | (~until5(s45))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3029, 294, 9135])).
% 13.61/9.41 tff(9137,plain,
% 13.61/9.41 (xuntil6(s45)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9136, 9134])).
% 13.61/9.41 tff(9138,plain,
% 13.61/9.41 (until5(s46)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3035, 9137])).
% 13.61/9.41 tff(9139,plain,
% 13.61/9.41 (~node4(s46)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3198, 36, 9072])).
% 13.61/9.41 tff(9140,plain,
% 13.61/9.41 (xuntil6(s46) | (~until5(s46))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3205, 294, 9139])).
% 13.61/9.41 tff(9141,plain,
% 13.61/9.41 (xuntil6(s46)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9140, 9138])).
% 13.61/9.41 tff(9142,plain,
% 13.61/9.41 (until5(s47)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3211, 9141])).
% 13.61/9.41 tff(9143,plain,
% 13.61/9.41 (~node4(s47)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3155, 36, 9071])).
% 13.61/9.41 tff(9144,plain,
% 13.61/9.41 (xuntil6(s47) | (~until5(s47))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3162, 294, 9143])).
% 13.61/9.41 tff(9145,plain,
% 13.61/9.41 (xuntil6(s47)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9144, 9142])).
% 13.61/9.41 tff(9146,plain,
% 13.61/9.41 (until5(s48)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3142, 9145])).
% 13.61/9.41 tff(9147,plain,
% 13.61/9.41 (~node4(s48)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3126, 36, 9070])).
% 13.61/9.41 tff(9148,plain,
% 13.61/9.41 (xuntil6(s48) | (~until5(s48))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3133, 294, 9147])).
% 13.61/9.41 tff(9149,plain,
% 13.61/9.41 (xuntil6(s48)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9148, 9146])).
% 13.61/9.41 tff(9150,plain,
% 13.61/9.41 (until5(s49)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3113, 9149])).
% 13.61/9.41 tff(9151,plain,
% 13.61/9.41 (~node4(s49)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3097, 36, 9069])).
% 13.61/9.41 tff(9152,plain,
% 13.61/9.41 (xuntil6(s49) | (~until5(s49))),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[3104, 294, 9151])).
% 13.61/9.41 tff(9153,plain,
% 13.61/9.41 (xuntil6(s49)),
% 13.61/9.41 inference(unit_resolution,[status(thm)],[9152, 9150])).
% 13.70/9.41 tff(9154,plain,
% 13.70/9.41 (until5(s50)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[3084, 9153])).
% 13.70/9.41 tff(9155,plain,
% 13.70/9.41 (~node4(s50)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[3052, 36, 9068])).
% 13.70/9.41 tff(9156,plain,
% 13.70/9.41 (xuntil6(s50) | (~until5(s50))),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[3076, 294, 9155])).
% 13.70/9.41 tff(9157,plain,
% 13.70/9.41 (xuntil6(s50)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9156, 9154])).
% 13.70/9.41 tff(9158,plain,
% 13.70/9.41 (until5(s51)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[3069, 9157])).
% 13.70/9.41 tff(9159,plain,
% 13.70/9.41 (~node4(s51)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[3056, 36, 9067])).
% 13.70/9.41 tff(9160,plain,
% 13.70/9.41 (xuntil6(s51) | (~until5(s51))),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[3063, 294, 9159])).
% 13.70/9.41 tff(9161,plain,
% 13.70/9.41 ($false),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9160, 9158, 9066])).
% 13.70/9.41 tff(9162,plain,(always3(s115) | xuntil6(s115)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.41 tff(9163,plain,
% 13.70/9.41 (always3(s115)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9162, 8794])).
% 13.70/9.41 tff(9164,plain,
% 13.70/9.41 ($false),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[8926, 85, 9163, 8960])).
% 13.70/9.41 tff(9165,plain,(xuntil6(s115) | (~until5(s114)) | (~until5(s104))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.41 tff(9166,plain,
% 13.70/9.41 (xuntil6(s115)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9165, 8793, 7741])).
% 13.70/9.41 tff(9167,plain,
% 13.70/9.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9168,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9169,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116)),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 13.70/9.41 tff(9170,plain,
% 13.70/9.41 ((~xuntil6(s115)) | until5(s116)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9169, 8888, 312])).
% 13.70/9.41 tff(9171,plain,
% 13.70/9.41 (until5(s116)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9170, 9166])).
% 13.70/9.41 tff(9172,assumption,(node4(s143)), introduced(assumption)).
% 13.70/9.41 tff(9173,plain,
% 13.70/9.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s143) | (~node4(s143)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s143) | (~node4(s143)))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9174,plain,
% 13.70/9.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s143) | (~node4(s143)))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9175,plain,
% 13.70/9.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s143) | (~node4(s143))),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 13.70/9.41 tff(9176,plain,
% 13.70/9.41 (m_main_v_request(s143)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9175, 21, 9172])).
% 13.70/9.41 tff(9177,plain,
% 13.70/9.41 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s143) | (~node4(s143)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s143) | (~node4(s143)))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9178,plain,
% 13.70/9.41 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s143) | (~node4(s143)))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9179,plain,
% 13.70/9.41 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s143) | (~node4(s143))),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 13.70/9.41 tff(9180,plain,
% 13.70/9.41 (always3(s143)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9179, 36, 9172])).
% 13.70/9.41 tff(9181,plain,
% 13.70/9.41 (succ(s143, s144) <=> succ(s143, s144)),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9182,axiom,(succ(s143, s144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound144')).
% 13.70/9.41 tff(9183,plain,
% 13.70/9.41 (succ(s143, s144)),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9182, 9181])).
% 13.70/9.41 tff(9184,plain,
% 13.70/9.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9185,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9186,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 13.70/9.41 tff(9187,plain,
% 13.70/9.41 (trans(s143, s144)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9186, 9183, 52])).
% 13.70/9.41 tff(9188,plain,
% 13.70/9.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s143, s144)) | (~always3(s143)) | always3(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s143, s144)) | (~always3(s143)) | always3(s144))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9189,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s143, s144)) | (~always3(s143)) | always3(s144))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9190,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s143, s144)) | (~always3(s143)) | always3(s144)),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9189, 9188])).
% 13.70/9.41 tff(9191,plain,
% 13.70/9.41 ((~always3(s143)) | always3(s144)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9190, 125, 9187])).
% 13.70/9.41 tff(9192,plain,
% 13.70/9.41 (always3(s144)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9191, 9180])).
% 13.70/9.41 tff(9193,plain,
% 13.70/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s144)) | (~m_main_v_state(s144, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s144)) | (~m_main_v_state(s144, c_busy)))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9194,plain,
% 13.70/9.41 (((~m_main_v_state(s144, c_busy)) | (~always3(s144))) <=> ((~always3(s144)) | (~m_main_v_state(s144, c_busy)))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9195,plain,
% 13.70/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s144, c_busy)) | (~always3(s144)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s144)) | (~m_main_v_state(s144, c_busy))))),
% 13.70/9.41 inference(monotonicity,[status(thm)],[9194])).
% 13.70/9.41 tff(9196,plain,
% 13.70/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s144, c_busy)) | (~always3(s144)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s144)) | (~m_main_v_state(s144, c_busy)))),
% 13.70/9.41 inference(transitivity,[status(thm)],[9195, 9193])).
% 13.70/9.41 tff(9197,plain,
% 13.70/9.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s144, c_busy)) | (~always3(s144)))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9198,plain,
% 13.70/9.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s144)) | (~m_main_v_state(s144, c_busy))),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 13.70/9.41 tff(9199,plain,
% 13.70/9.41 (~m_main_v_state(s144, c_busy)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9198, 85, 9192])).
% 13.70/9.41 tff(9200,assumption,(~node1(s142)), introduced(assumption)).
% 13.70/9.41 tff(9201,plain,
% 13.70/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s143)) | (~m_main_v_state(s143, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s143)) | (~m_main_v_state(s143, c_busy)))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9202,plain,
% 13.70/9.41 (((~m_main_v_state(s143, c_busy)) | (~always3(s143))) <=> ((~always3(s143)) | (~m_main_v_state(s143, c_busy)))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9203,plain,
% 13.70/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s143, c_busy)) | (~always3(s143)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s143)) | (~m_main_v_state(s143, c_busy))))),
% 13.70/9.41 inference(monotonicity,[status(thm)],[9202])).
% 13.70/9.41 tff(9204,plain,
% 13.70/9.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s143, c_busy)) | (~always3(s143)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s143)) | (~m_main_v_state(s143, c_busy)))),
% 13.70/9.41 inference(transitivity,[status(thm)],[9203, 9201])).
% 13.70/9.41 tff(9205,plain,
% 13.70/9.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s143, c_busy)) | (~always3(s143)))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9206,plain,
% 13.70/9.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s143)) | (~m_main_v_state(s143, c_busy))),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9205, 9204])).
% 13.70/9.41 tff(9207,plain,
% 13.70/9.41 (~m_main_v_state(s143, c_busy)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9206, 85, 9180])).
% 13.70/9.41 tff(9208,plain,
% 13.70/9.41 (succ(s142, s143) <=> succ(s142, s143)),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9209,axiom,(succ(s142, s143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound143')).
% 13.70/9.41 tff(9210,plain,
% 13.70/9.41 (succ(s142, s143)),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 13.70/9.41 tff(9211,plain,
% 13.70/9.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9212,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9213,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 13.70/9.41 tff(9214,plain,
% 13.70/9.41 (trans(s142, s143)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9213, 9210, 52])).
% 13.70/9.41 tff(9215,plain,
% 13.70/9.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s142, s143)) | node2(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s142, s143)) | node2(s142, s143))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9216,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s142, s143)) | node2(s142, s143))),
% 13.70/9.41 inference(quant_inst,[status(thm)],[])).
% 13.70/9.41 tff(9217,plain,
% 13.70/9.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s142, s143)) | node2(s142, s143)),
% 13.70/9.41 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 13.70/9.41 tff(9218,plain,
% 13.70/9.41 (node2(s142, s143)),
% 13.70/9.41 inference(unit_resolution,[status(thm)],[9217, 7, 9214])).
% 13.70/9.41 tff(9219,plain,
% 13.70/9.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s142, s143)) | m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, 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(s142, s143)) | m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, c_ready))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9220,plain,
% 13.70/9.41 ((node1(s142) | m_main_v_state(s143, c_ready) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy)) <=> ((~node2(s142, s143)) | m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, c_ready))),
% 13.70/9.41 inference(rewrite,[status(thm)],[])).
% 13.70/9.41 tff(9221,plain,
% 13.70/9.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s142) | m_main_v_state(s143, c_ready) | (~node2(s142, s143)) | m_main_v_state(s143, 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(s142, s143)) | m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, c_ready)))),
% 13.70/9.41 inference(monotonicity,[status(thm)],[9220])).
% 13.70/9.41 tff(9222,plain,
% 13.70/9.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s142) | m_main_v_state(s143, c_ready) | (~node2(s142, s143)) | m_main_v_state(s143, 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(s142, s143)) | m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, c_ready))),
% 13.70/9.42 inference(transitivity,[status(thm)],[9221, 9219])).
% 13.70/9.42 tff(9223,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s142) | m_main_v_state(s143, c_ready) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9224,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, c_ready)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9223, 9222])).
% 13.70/9.42 tff(9225,plain,
% 13.70/9.42 (m_main_v_state(s143, c_busy) | node1(s142) | m_main_v_state(s143, c_ready)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9224, 3551, 9218])).
% 13.70/9.42 tff(9226,plain,
% 13.70/9.42 (m_main_v_state(s143, c_ready)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9225, 9207, 9200])).
% 13.70/9.42 tff(9227,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s143, s144)) | node2(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s143, s144)) | node2(s143, s144))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9228,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s143, s144)) | node2(s143, s144))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9229,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s143, s144)) | node2(s143, s144)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 13.70/9.42 tff(9230,plain,
% 13.70/9.42 (node2(s143, s144)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9229, 7, 9187])).
% 13.70/9.42 tff(9231,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9232,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9233,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9232, 9231])).
% 13.70/9.42 tff(9234,plain,
% 13.70/9.42 ((~m_main_v_state(s143, c_ready)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143))),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9233, 73, 9230])).
% 13.70/9.42 tff(9235,plain,
% 13.70/9.42 ($false),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9234, 9226, 9199, 9176])).
% 13.70/9.42 tff(9236,plain,((~node4(s143)) | node1(s142)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.42 tff(9237,plain,
% 13.70/9.42 (node1(s142)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9236, 9172])).
% 13.70/9.42 tff(9238,plain,
% 13.70/9.42 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s142, c_ready) | (~node1(s142)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s142, c_ready) | (~node1(s142)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9239,plain,
% 13.70/9.42 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s142, c_ready) | (~node1(s142)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9240,plain,
% 13.70/9.42 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s142, c_ready) | (~node1(s142))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 13.70/9.42 tff(9241,plain,
% 13.70/9.42 (m_main_v_state(s142, c_ready)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9240, 3581, 9237])).
% 13.70/9.42 tff(9242,plain,
% 13.70/9.42 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s142) | (~node1(s142)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s142) | (~node1(s142)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9243,plain,
% 13.70/9.42 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s142) | (~node1(s142)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9244,plain,
% 13.70/9.42 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s142) | (~node1(s142))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9243, 9242])).
% 13.70/9.42 tff(9245,plain,
% 13.70/9.42 (m_main_v_request(s142)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9244, 3568, 9237])).
% 13.70/9.42 tff(9246,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9247,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9248,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 13.70/9.42 tff(9249,plain,
% 13.70/9.42 ((~m_main_v_state(s142, c_ready)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142))),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9248, 73, 9218])).
% 13.70/9.42 tff(9250,plain,
% 13.70/9.42 (m_main_v_state(s143, c_busy)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9249, 9245, 9241])).
% 13.70/9.42 tff(9251,plain,
% 13.70/9.42 ($false),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9206, 85, 9180, 9250])).
% 13.70/9.42 tff(9252,plain,(~node4(s143)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.42 tff(9253,assumption,(node4(s141)), introduced(assumption)).
% 13.70/9.42 tff(9254,plain,
% 13.70/9.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s141) | (~node4(s141)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s141) | (~node4(s141)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9255,plain,
% 13.70/9.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s141) | (~node4(s141)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9256,plain,
% 13.70/9.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s141) | (~node4(s141))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 13.70/9.42 tff(9257,plain,
% 13.70/9.42 (m_main_v_request(s141)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9256, 21, 9253])).
% 13.70/9.42 tff(9258,plain,
% 13.70/9.42 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s141) | (~node4(s141)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s141) | (~node4(s141)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9259,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s141) | (~node4(s141)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9260,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s141) | (~node4(s141))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 13.70/9.42 tff(9261,plain,
% 13.70/9.42 (always3(s141)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9260, 36, 9253])).
% 13.70/9.42 tff(9262,plain,
% 13.70/9.42 (succ(s141, s142) <=> succ(s141, s142)),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9263,axiom,(succ(s141, s142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound142')).
% 13.70/9.42 tff(9264,plain,
% 13.70/9.42 (succ(s141, s142)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 13.70/9.42 tff(9265,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9266,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9267,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 13.70/9.42 tff(9268,plain,
% 13.70/9.42 (trans(s141, s142)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9267, 9264, 52])).
% 13.70/9.42 tff(9269,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s141, s142)) | (~always3(s141)) | always3(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s141, s142)) | (~always3(s141)) | always3(s142))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9270,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s141, s142)) | (~always3(s141)) | always3(s142))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9271,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s141, s142)) | (~always3(s141)) | always3(s142)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 13.70/9.42 tff(9272,plain,
% 13.70/9.42 ((~always3(s141)) | always3(s142)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9271, 125, 9268])).
% 13.70/9.42 tff(9273,plain,
% 13.70/9.42 (always3(s142)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9272, 9261])).
% 13.70/9.42 tff(9274,plain,
% 13.70/9.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s142)) | (~m_main_v_state(s142, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s142)) | (~m_main_v_state(s142, c_busy)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9275,plain,
% 13.70/9.42 (((~m_main_v_state(s142, c_busy)) | (~always3(s142))) <=> ((~always3(s142)) | (~m_main_v_state(s142, c_busy)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9276,plain,
% 13.70/9.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s142, c_busy)) | (~always3(s142)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s142)) | (~m_main_v_state(s142, c_busy))))),
% 13.70/9.42 inference(monotonicity,[status(thm)],[9275])).
% 13.70/9.42 tff(9277,plain,
% 13.70/9.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s142, c_busy)) | (~always3(s142)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s142)) | (~m_main_v_state(s142, c_busy)))),
% 13.70/9.42 inference(transitivity,[status(thm)],[9276, 9274])).
% 13.70/9.42 tff(9278,plain,
% 13.70/9.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s142, c_busy)) | (~always3(s142)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9279,plain,
% 13.70/9.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s142)) | (~m_main_v_state(s142, c_busy))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9278, 9277])).
% 13.70/9.42 tff(9280,plain,
% 13.70/9.42 (~m_main_v_state(s142, c_busy)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9279, 85, 9273])).
% 13.70/9.42 tff(9281,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s141, s142)) | node2(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s141, s142)) | node2(s141, s142))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9282,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s141, s142)) | node2(s141, s142))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9283,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s141, s142)) | node2(s141, s142)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 13.70/9.42 tff(9284,plain,
% 13.70/9.42 (node2(s141, s142)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9283, 7, 9268])).
% 13.70/9.42 tff(9285,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9286,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9287,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 13.70/9.42 tff(9288,plain,
% 13.70/9.42 ((~m_main_v_state(s141, c_ready)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141))),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9287, 73, 9284])).
% 13.70/9.42 tff(9289,plain,
% 13.70/9.42 (~m_main_v_state(s141, c_ready)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9288, 9280, 9257])).
% 13.70/9.42 tff(9290,plain,
% 13.70/9.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s141)) | (~m_main_v_state(s141, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s141)) | (~m_main_v_state(s141, c_busy)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9291,plain,
% 13.70/9.42 (((~m_main_v_state(s141, c_busy)) | (~always3(s141))) <=> ((~always3(s141)) | (~m_main_v_state(s141, c_busy)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9292,plain,
% 13.70/9.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s141, c_busy)) | (~always3(s141)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s141)) | (~m_main_v_state(s141, c_busy))))),
% 13.70/9.42 inference(monotonicity,[status(thm)],[9291])).
% 13.70/9.42 tff(9293,plain,
% 13.70/9.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s141, c_busy)) | (~always3(s141)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s141)) | (~m_main_v_state(s141, c_busy)))),
% 13.70/9.42 inference(transitivity,[status(thm)],[9292, 9290])).
% 13.70/9.42 tff(9294,plain,
% 13.70/9.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s141, c_busy)) | (~always3(s141)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9295,plain,
% 13.70/9.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s141)) | (~m_main_v_state(s141, c_busy))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9294, 9293])).
% 13.70/9.42 tff(9296,plain,
% 13.70/9.42 (~m_main_v_state(s141, c_busy)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9295, 85, 9261])).
% 13.70/9.42 tff(9297,plain,
% 13.70/9.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9298,plain,
% 13.70/9.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9299,plain,
% 13.70/9.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 13.70/9.42 tff(9300,plain,
% 13.70/9.42 ($false),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9299, 102, 9296, 9289])).
% 13.70/9.42 tff(9301,plain,(~node4(s141)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.42 tff(9302,assumption,(~xuntil6(s150)), introduced(assumption)).
% 13.70/9.42 tff(9303,assumption,(until5(s116)), introduced(assumption)).
% 13.70/9.42 tff(9304,assumption,(~always3(s150)), introduced(assumption)).
% 13.70/9.42 tff(9305,plain,
% 13.70/9.42 (succ(s149, s150) <=> succ(s149, s150)),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9306,axiom,(succ(s149, s150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound150')).
% 13.70/9.42 tff(9307,plain,
% 13.70/9.42 (succ(s149, s150)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 13.70/9.42 tff(9308,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9309,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9310,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 13.70/9.42 tff(9311,plain,
% 13.70/9.42 (trans(s149, s150)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9310, 9307, 52])).
% 13.70/9.42 tff(9312,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s149, s150)) | (~always3(s149)) | always3(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s149, s150)) | (~always3(s149)) | always3(s150))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9313,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s149, s150)) | (~always3(s149)) | always3(s150))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9314,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s149, s150)) | (~always3(s149)) | always3(s150)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 13.70/9.42 tff(9315,plain,
% 13.70/9.42 ((~always3(s149)) | always3(s150)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9314, 125, 9311])).
% 13.70/9.42 tff(9316,plain,
% 13.70/9.42 (~always3(s149)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9315, 9304])).
% 13.70/9.42 tff(9317,plain,
% 13.70/9.42 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s149) | (~node4(s149)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s149) | (~node4(s149)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9318,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s149) | (~node4(s149)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9319,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s149) | (~node4(s149))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 13.70/9.42 tff(9320,plain,
% 13.70/9.42 (~node4(s149)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9319, 36, 9316])).
% 13.70/9.42 tff(9321,plain,
% 13.70/9.42 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s150) | (~node4(s150)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s150) | (~node4(s150)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9322,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s150) | (~node4(s150)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9323,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s150) | (~node4(s150))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9322, 9321])).
% 13.70/9.42 tff(9324,plain,
% 13.70/9.42 (~node4(s150)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9323, 36, 9304])).
% 13.70/9.42 tff(9325,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s150) | node4(s150) | (~until5(s150)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9326,plain,
% 13.70/9.42 ((node4(s150) | (~until5(s150)) | xuntil6(s150)) <=> (xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9327,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s150) | (~until5(s150)) | xuntil6(s150))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s150) | node4(s150) | (~until5(s150))))),
% 13.70/9.42 inference(monotonicity,[status(thm)],[9326])).
% 13.70/9.42 tff(9328,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s150) | (~until5(s150)) | xuntil6(s150))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 13.70/9.42 inference(transitivity,[status(thm)],[9327, 9325])).
% 13.70/9.42 tff(9329,plain,
% 13.70/9.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s150) | (~until5(s150)) | xuntil6(s150))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9330,plain,
% 13.70/9.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s150) | node4(s150) | (~until5(s150))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 13.70/9.42 tff(9331,plain,
% 13.70/9.42 (node4(s150) | (~until5(s150))),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9330, 294, 9302])).
% 13.70/9.42 tff(9332,plain,
% 13.70/9.42 (~until5(s150)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9331, 9324])).
% 13.70/9.42 tff(9333,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9334,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9335,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 13.70/9.42 tff(9336,plain,
% 13.70/9.42 ((~xuntil6(s149)) | until5(s150)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9335, 9307, 312])).
% 13.70/9.42 tff(9337,plain,
% 13.70/9.42 (~xuntil6(s149)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9336, 9332])).
% 13.70/9.42 tff(9338,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s149) | node4(s149) | (~until5(s149)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9339,plain,
% 13.70/9.42 ((node4(s149) | (~until5(s149)) | xuntil6(s149)) <=> (xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9340,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s149) | (~until5(s149)) | xuntil6(s149))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s149) | node4(s149) | (~until5(s149))))),
% 13.70/9.42 inference(monotonicity,[status(thm)],[9339])).
% 13.70/9.42 tff(9341,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s149) | (~until5(s149)) | xuntil6(s149))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 13.70/9.42 inference(transitivity,[status(thm)],[9340, 9338])).
% 13.70/9.42 tff(9342,plain,
% 13.70/9.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s149) | (~until5(s149)) | xuntil6(s149))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9343,plain,
% 13.70/9.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s149) | node4(s149) | (~until5(s149))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 13.70/9.42 tff(9344,plain,
% 13.70/9.42 (~until5(s149)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9343, 294, 9337, 9320])).
% 13.70/9.42 tff(9345,plain,
% 13.70/9.42 (succ(s148, s149) <=> succ(s148, s149)),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9346,axiom,(succ(s148, s149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound149')).
% 13.70/9.42 tff(9347,plain,
% 13.70/9.42 (succ(s148, s149)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 13.70/9.42 tff(9348,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9349,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9350,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9349, 9348])).
% 13.70/9.42 tff(9351,plain,
% 13.70/9.42 ((~xuntil6(s148)) | until5(s149)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9350, 9347, 312])).
% 13.70/9.42 tff(9352,plain,
% 13.70/9.42 (~xuntil6(s148)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9351, 9344])).
% 13.70/9.42 tff(9353,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9354,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9355,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 13.70/9.42 tff(9356,plain,
% 13.70/9.42 (trans(s148, s149)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9355, 9347, 52])).
% 13.70/9.42 tff(9357,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s148, s149)) | (~always3(s148)) | always3(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s148, s149)) | (~always3(s148)) | always3(s149))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9358,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s148, s149)) | (~always3(s148)) | always3(s149))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9359,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s148, s149)) | (~always3(s148)) | always3(s149)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9358, 9357])).
% 13.70/9.42 tff(9360,plain,
% 13.70/9.42 ((~always3(s148)) | always3(s149)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9359, 125, 9356])).
% 13.70/9.42 tff(9361,plain,
% 13.70/9.42 (~always3(s148)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9360, 9316])).
% 13.70/9.42 tff(9362,plain,
% 13.70/9.42 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s148) | (~node4(s148)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s148) | (~node4(s148)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9363,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s148) | (~node4(s148)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9364,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s148) | (~node4(s148))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9363, 9362])).
% 13.70/9.42 tff(9365,plain,
% 13.70/9.42 (~node4(s148)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9364, 36, 9361])).
% 13.70/9.42 tff(9366,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s148) | node4(s148) | (~until5(s148)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s148) | node4(s148) | (~until5(s148)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9367,plain,
% 13.70/9.42 ((node4(s148) | (~until5(s148)) | xuntil6(s148)) <=> (xuntil6(s148) | node4(s148) | (~until5(s148)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9368,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s148) | (~until5(s148)) | xuntil6(s148))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s148) | node4(s148) | (~until5(s148))))),
% 13.70/9.42 inference(monotonicity,[status(thm)],[9367])).
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% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s148) | (~until5(s148)) | xuntil6(s148))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s148) | node4(s148) | (~until5(s148)))),
% 13.70/9.42 inference(transitivity,[status(thm)],[9368, 9366])).
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% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9371,plain,
% 13.70/9.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s148) | node4(s148) | (~until5(s148))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 13.70/9.42 tff(9372,plain,
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% 13.70/9.42 inference(unit_resolution,[status(thm)],[9371, 294, 9365])).
% 13.70/9.42 tff(9373,plain,
% 13.70/9.42 (~until5(s148)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9372, 9352])).
% 13.70/9.42 tff(9374,plain,
% 13.70/9.42 (succ(s147, s148) <=> succ(s147, s148)),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9375,axiom,(succ(s147, s148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound148')).
% 13.70/9.42 tff(9376,plain,
% 13.70/9.42 (succ(s147, s148)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9375, 9374])).
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% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9378,plain,
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% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
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% 13.70/9.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9378, 9377])).
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% 13.70/9.42 ((~xuntil6(s147)) | until5(s148)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9379, 9376, 312])).
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% 13.70/9.42 (~xuntil6(s147)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9380, 9373])).
% 13.70/9.42 tff(9382,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9383,plain,
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% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9384,plain,
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% 13.70/9.42 inference(modus_ponens,[status(thm)],[9383, 9382])).
% 13.70/9.42 tff(9385,plain,
% 13.70/9.42 (trans(s147, s148)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9384, 9376, 52])).
% 13.70/9.42 tff(9386,plain,
% 13.70/9.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s147, s148)) | (~always3(s147)) | always3(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s147, s148)) | (~always3(s147)) | always3(s148))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9387,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s147, s148)) | (~always3(s147)) | always3(s148))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9388,plain,
% 13.70/9.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s147, s148)) | (~always3(s147)) | always3(s148)),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 13.70/9.42 tff(9389,plain,
% 13.70/9.42 ((~always3(s147)) | always3(s148)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9388, 125, 9385])).
% 13.70/9.42 tff(9390,plain,
% 13.70/9.42 (~always3(s147)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9389, 9361])).
% 13.70/9.42 tff(9391,plain,
% 13.70/9.42 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s147) | (~node4(s147)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s147) | (~node4(s147)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9392,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s147) | (~node4(s147)))),
% 13.70/9.42 inference(quant_inst,[status(thm)],[])).
% 13.70/9.42 tff(9393,plain,
% 13.70/9.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s147) | (~node4(s147))),
% 13.70/9.42 inference(modus_ponens,[status(thm)],[9392, 9391])).
% 13.70/9.42 tff(9394,plain,
% 13.70/9.42 (~node4(s147)),
% 13.70/9.42 inference(unit_resolution,[status(thm)],[9393, 36, 9390])).
% 13.70/9.42 tff(9395,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s147) | node4(s147) | (~until5(s147)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s147) | node4(s147) | (~until5(s147)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9396,plain,
% 13.70/9.42 ((node4(s147) | (~until5(s147)) | xuntil6(s147)) <=> (xuntil6(s147) | node4(s147) | (~until5(s147)))),
% 13.70/9.42 inference(rewrite,[status(thm)],[])).
% 13.70/9.42 tff(9397,plain,
% 13.70/9.42 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s147) | (~until5(s147)) | xuntil6(s147))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s147) | node4(s147) | (~until5(s147))))),
% 13.70/9.42 inference(monotonicity,[status(thm)],[9396])).
% 13.70/9.42 tff(9398,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s147) | (~until5(s147)) | xuntil6(s147))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s147) | node4(s147) | (~until5(s147)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9397, 9395])).
% 13.70/9.43 tff(9399,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s147) | (~until5(s147)) | xuntil6(s147))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9400,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s147) | node4(s147) | (~until5(s147))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9399, 9398])).
% 13.70/9.43 tff(9401,plain,
% 13.70/9.43 (xuntil6(s147) | (~until5(s147))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9400, 294, 9394])).
% 13.70/9.43 tff(9402,plain,
% 13.70/9.43 (~until5(s147)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9401, 9381])).
% 13.70/9.43 tff(9403,plain,
% 13.70/9.43 (succ(s146, s147) <=> succ(s146, s147)),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9404,axiom,(succ(s146, s147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound147')).
% 13.70/9.43 tff(9405,plain,
% 13.70/9.43 (succ(s146, s147)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9404, 9403])).
% 13.70/9.43 tff(9406,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9407,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9408,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 13.70/9.43 tff(9409,plain,
% 13.70/9.43 ((~xuntil6(s146)) | until5(s147)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9408, 9405, 312])).
% 13.70/9.43 tff(9410,plain,
% 13.70/9.43 (~xuntil6(s146)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9409, 9402])).
% 13.70/9.43 tff(9411,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9412,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9413,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 13.70/9.43 tff(9414,plain,
% 13.70/9.43 (trans(s146, s147)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9413, 9405, 52])).
% 13.70/9.43 tff(9415,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s146, s147)) | (~always3(s146)) | always3(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s146, s147)) | (~always3(s146)) | always3(s147))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9416,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s146, s147)) | (~always3(s146)) | always3(s147))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9417,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s146, s147)) | (~always3(s146)) | always3(s147)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9416, 9415])).
% 13.70/9.43 tff(9418,plain,
% 13.70/9.43 ((~always3(s146)) | always3(s147)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9417, 125, 9414])).
% 13.70/9.43 tff(9419,plain,
% 13.70/9.43 (~always3(s146)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9418, 9390])).
% 13.70/9.43 tff(9420,plain,
% 13.70/9.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s146) | (~node4(s146)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s146) | (~node4(s146)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9421,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s146) | (~node4(s146)))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9422,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s146) | (~node4(s146))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 13.70/9.43 tff(9423,plain,
% 13.70/9.43 (~node4(s146)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9422, 36, 9419])).
% 13.70/9.43 tff(9424,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s146) | node4(s146) | (~until5(s146)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s146) | node4(s146) | (~until5(s146)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9425,plain,
% 13.70/9.43 ((node4(s146) | (~until5(s146)) | xuntil6(s146)) <=> (xuntil6(s146) | node4(s146) | (~until5(s146)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9426,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s146) | (~until5(s146)) | xuntil6(s146))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s146) | node4(s146) | (~until5(s146))))),
% 13.70/9.43 inference(monotonicity,[status(thm)],[9425])).
% 13.70/9.43 tff(9427,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s146) | (~until5(s146)) | xuntil6(s146))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s146) | node4(s146) | (~until5(s146)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9426, 9424])).
% 13.70/9.43 tff(9428,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s146) | (~until5(s146)) | xuntil6(s146))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9429,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s146) | node4(s146) | (~until5(s146))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9428, 9427])).
% 13.70/9.43 tff(9430,plain,
% 13.70/9.43 (xuntil6(s146) | (~until5(s146))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9429, 294, 9423])).
% 13.70/9.43 tff(9431,plain,
% 13.70/9.43 (~until5(s146)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9430, 9410])).
% 13.70/9.43 tff(9432,plain,
% 13.70/9.43 (succ(s145, s146) <=> succ(s145, s146)),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9433,axiom,(succ(s145, s146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound146')).
% 13.70/9.43 tff(9434,plain,
% 13.70/9.43 (succ(s145, s146)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9433, 9432])).
% 13.70/9.43 tff(9435,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9436,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9437,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9436, 9435])).
% 13.70/9.43 tff(9438,plain,
% 13.70/9.43 ((~xuntil6(s145)) | until5(s146)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9437, 9434, 312])).
% 13.70/9.43 tff(9439,plain,
% 13.70/9.43 (~xuntil6(s145)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9438, 9431])).
% 13.70/9.43 tff(9440,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9441,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9442,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 13.70/9.43 tff(9443,plain,
% 13.70/9.43 (trans(s145, s146)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9442, 9434, 52])).
% 13.70/9.43 tff(9444,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s145, s146)) | (~always3(s145)) | always3(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s145, s146)) | (~always3(s145)) | always3(s146))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9445,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s145, s146)) | (~always3(s145)) | always3(s146))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9446,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s145, s146)) | (~always3(s145)) | always3(s146)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 13.70/9.43 tff(9447,plain,
% 13.70/9.43 ((~always3(s145)) | always3(s146)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9446, 125, 9443])).
% 13.70/9.43 tff(9448,plain,
% 13.70/9.43 (~always3(s145)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9447, 9419])).
% 13.70/9.43 tff(9449,plain,
% 13.70/9.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s145) | (~node4(s145)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s145) | (~node4(s145)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9450,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s145) | (~node4(s145)))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9451,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s145) | (~node4(s145))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9450, 9449])).
% 13.70/9.43 tff(9452,plain,
% 13.70/9.43 (~node4(s145)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9451, 36, 9448])).
% 13.70/9.43 tff(9453,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s145) | node4(s145) | (~until5(s145)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s145) | node4(s145) | (~until5(s145)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9454,plain,
% 13.70/9.43 ((node4(s145) | (~until5(s145)) | xuntil6(s145)) <=> (xuntil6(s145) | node4(s145) | (~until5(s145)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9455,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s145) | (~until5(s145)) | xuntil6(s145))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s145) | node4(s145) | (~until5(s145))))),
% 13.70/9.43 inference(monotonicity,[status(thm)],[9454])).
% 13.70/9.43 tff(9456,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s145) | (~until5(s145)) | xuntil6(s145))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s145) | node4(s145) | (~until5(s145)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9455, 9453])).
% 13.70/9.43 tff(9457,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s145) | (~until5(s145)) | xuntil6(s145))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9458,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s145) | node4(s145) | (~until5(s145))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 13.70/9.43 tff(9459,plain,
% 13.70/9.43 (xuntil6(s145) | (~until5(s145))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9458, 294, 9452])).
% 13.70/9.43 tff(9460,plain,
% 13.70/9.43 (~until5(s145)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9459, 9439])).
% 13.70/9.43 tff(9461,plain,
% 13.70/9.43 (succ(s144, s145) <=> succ(s144, s145)),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9462,axiom,(succ(s144, s145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound145')).
% 13.70/9.43 tff(9463,plain,
% 13.70/9.43 (succ(s144, s145)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9462, 9461])).
% 13.70/9.43 tff(9464,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9465,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9466,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9465, 9464])).
% 13.70/9.43 tff(9467,plain,
% 13.70/9.43 ((~xuntil6(s144)) | until5(s145)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9466, 9463, 312])).
% 13.70/9.43 tff(9468,plain,
% 13.70/9.43 (~xuntil6(s144)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9467, 9460])).
% 13.70/9.43 tff(9469,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9470,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9471,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9470, 9469])).
% 13.70/9.43 tff(9472,plain,
% 13.70/9.43 (trans(s144, s145)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9471, 9463, 52])).
% 13.70/9.43 tff(9473,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s144, s145)) | (~always3(s144)) | always3(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s144, s145)) | (~always3(s144)) | always3(s145))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9474,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s144, s145)) | (~always3(s144)) | always3(s145))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9475,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s144, s145)) | (~always3(s144)) | always3(s145)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9474, 9473])).
% 13.70/9.43 tff(9476,plain,
% 13.70/9.43 ((~always3(s144)) | always3(s145)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9475, 125, 9472])).
% 13.70/9.43 tff(9477,plain,
% 13.70/9.43 (~always3(s144)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9476, 9448])).
% 13.70/9.43 tff(9478,plain,
% 13.70/9.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s144) | (~node4(s144)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s144) | (~node4(s144)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9479,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s144) | (~node4(s144)))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9480,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s144) | (~node4(s144))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9479, 9478])).
% 13.70/9.43 tff(9481,plain,
% 13.70/9.43 (~node4(s144)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9480, 36, 9477])).
% 13.70/9.43 tff(9482,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s144) | node4(s144) | (~until5(s144)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s144) | node4(s144) | (~until5(s144)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9483,plain,
% 13.70/9.43 ((node4(s144) | (~until5(s144)) | xuntil6(s144)) <=> (xuntil6(s144) | node4(s144) | (~until5(s144)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9484,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s144) | (~until5(s144)) | xuntil6(s144))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s144) | node4(s144) | (~until5(s144))))),
% 13.70/9.43 inference(monotonicity,[status(thm)],[9483])).
% 13.70/9.43 tff(9485,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s144) | (~until5(s144)) | xuntil6(s144))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s144) | node4(s144) | (~until5(s144)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9484, 9482])).
% 13.70/9.43 tff(9486,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s144) | (~until5(s144)) | xuntil6(s144))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9487,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s144) | node4(s144) | (~until5(s144))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9486, 9485])).
% 13.70/9.43 tff(9488,plain,
% 13.70/9.43 (xuntil6(s144) | (~until5(s144))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9487, 294, 9481])).
% 13.70/9.43 tff(9489,plain,
% 13.70/9.43 (~until5(s144)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9488, 9468])).
% 13.70/9.43 tff(9490,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9491,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9492,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9491, 9490])).
% 13.70/9.43 tff(9493,plain,
% 13.70/9.43 ((~xuntil6(s143)) | until5(s144)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9492, 9183, 312])).
% 13.70/9.43 tff(9494,plain,
% 13.70/9.43 (~xuntil6(s143)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9493, 9489])).
% 13.70/9.43 tff(9495,plain,
% 13.70/9.43 (~always3(s143)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9191, 9477])).
% 13.70/9.43 tff(9496,plain,
% 13.70/9.43 (~node4(s143)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9179, 36, 9495])).
% 13.70/9.43 tff(9497,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s143) | node4(s143) | (~until5(s143)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s143) | node4(s143) | (~until5(s143)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9498,plain,
% 13.70/9.43 ((node4(s143) | (~until5(s143)) | xuntil6(s143)) <=> (xuntil6(s143) | node4(s143) | (~until5(s143)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9499,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s143) | (~until5(s143)) | xuntil6(s143))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s143) | node4(s143) | (~until5(s143))))),
% 13.70/9.43 inference(monotonicity,[status(thm)],[9498])).
% 13.70/9.43 tff(9500,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s143) | (~until5(s143)) | xuntil6(s143))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s143) | node4(s143) | (~until5(s143)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9499, 9497])).
% 13.70/9.43 tff(9501,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s143) | (~until5(s143)) | xuntil6(s143))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9502,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s143) | node4(s143) | (~until5(s143))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9501, 9500])).
% 13.70/9.43 tff(9503,plain,
% 13.70/9.43 (xuntil6(s143) | (~until5(s143))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9502, 294, 9496])).
% 13.70/9.43 tff(9504,plain,
% 13.70/9.43 (~until5(s143)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9503, 9494])).
% 13.70/9.43 tff(9505,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9506,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9507,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9506, 9505])).
% 13.70/9.43 tff(9508,plain,
% 13.70/9.43 ((~xuntil6(s142)) | until5(s143)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9507, 9210, 312])).
% 13.70/9.43 tff(9509,plain,
% 13.70/9.43 (~xuntil6(s142)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9508, 9504])).
% 13.70/9.43 tff(9510,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s142, s143)) | (~always3(s142)) | always3(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s142, s143)) | (~always3(s142)) | always3(s143))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9511,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s142, s143)) | (~always3(s142)) | always3(s143))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9512,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s142, s143)) | (~always3(s142)) | always3(s143)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 13.70/9.43 tff(9513,plain,
% 13.70/9.43 ((~always3(s142)) | always3(s143)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9512, 125, 9214])).
% 13.70/9.43 tff(9514,plain,
% 13.70/9.43 (~always3(s142)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9513, 9495])).
% 13.70/9.43 tff(9515,plain,
% 13.70/9.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s142) | (~node4(s142)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s142) | (~node4(s142)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9516,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s142) | (~node4(s142)))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9517,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s142) | (~node4(s142))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 13.70/9.43 tff(9518,plain,
% 13.70/9.43 (~node4(s142)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9517, 36, 9514])).
% 13.70/9.43 tff(9519,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s142) | node4(s142) | (~until5(s142)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s142) | node4(s142) | (~until5(s142)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9520,plain,
% 13.70/9.43 ((node4(s142) | (~until5(s142)) | xuntil6(s142)) <=> (xuntil6(s142) | node4(s142) | (~until5(s142)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9521,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s142) | (~until5(s142)) | xuntil6(s142))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s142) | node4(s142) | (~until5(s142))))),
% 13.70/9.43 inference(monotonicity,[status(thm)],[9520])).
% 13.70/9.43 tff(9522,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s142) | (~until5(s142)) | xuntil6(s142))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s142) | node4(s142) | (~until5(s142)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9521, 9519])).
% 13.70/9.43 tff(9523,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s142) | (~until5(s142)) | xuntil6(s142))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9524,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s142) | node4(s142) | (~until5(s142))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 13.70/9.43 tff(9525,plain,
% 13.70/9.43 (xuntil6(s142) | (~until5(s142))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9524, 294, 9518])).
% 13.70/9.43 tff(9526,plain,
% 13.70/9.43 (~until5(s142)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9525, 9509])).
% 13.70/9.43 tff(9527,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9528,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9529,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9528, 9527])).
% 13.70/9.43 tff(9530,plain,
% 13.70/9.43 ((~xuntil6(s141)) | until5(s142)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9529, 9264, 312])).
% 13.70/9.43 tff(9531,plain,
% 13.70/9.43 (~xuntil6(s141)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9530, 9526])).
% 13.70/9.43 tff(9532,plain,
% 13.70/9.43 (~always3(s141)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9272, 9514])).
% 13.70/9.43 tff(9533,plain,
% 13.70/9.43 (~node4(s141)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9260, 36, 9532])).
% 13.70/9.43 tff(9534,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s141) | node4(s141) | (~until5(s141)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s141) | node4(s141) | (~until5(s141)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9535,plain,
% 13.70/9.43 ((node4(s141) | (~until5(s141)) | xuntil6(s141)) <=> (xuntil6(s141) | node4(s141) | (~until5(s141)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9536,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s141) | (~until5(s141)) | xuntil6(s141))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s141) | node4(s141) | (~until5(s141))))),
% 13.70/9.43 inference(monotonicity,[status(thm)],[9535])).
% 13.70/9.43 tff(9537,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s141) | (~until5(s141)) | xuntil6(s141))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s141) | node4(s141) | (~until5(s141)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9536, 9534])).
% 13.70/9.43 tff(9538,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s141) | (~until5(s141)) | xuntil6(s141))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9539,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s141) | node4(s141) | (~until5(s141))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9538, 9537])).
% 13.70/9.43 tff(9540,plain,
% 13.70/9.43 (xuntil6(s141) | (~until5(s141))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9539, 294, 9533])).
% 13.70/9.43 tff(9541,plain,
% 13.70/9.43 (~until5(s141)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9540, 9531])).
% 13.70/9.43 tff(9542,plain,
% 13.70/9.43 (succ(s140, s141) <=> succ(s140, s141)),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9543,axiom,(succ(s140, s141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound141')).
% 13.70/9.43 tff(9544,plain,
% 13.70/9.43 (succ(s140, s141)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9543, 9542])).
% 13.70/9.43 tff(9545,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9546,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9547,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9546, 9545])).
% 13.70/9.43 tff(9548,plain,
% 13.70/9.43 ((~xuntil6(s140)) | until5(s141)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9547, 9544, 312])).
% 13.70/9.43 tff(9549,plain,
% 13.70/9.43 (~xuntil6(s140)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9548, 9541])).
% 13.70/9.43 tff(9550,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9551,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9552,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9551, 9550])).
% 13.70/9.43 tff(9553,plain,
% 13.70/9.43 (trans(s140, s141)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9552, 9544, 52])).
% 13.70/9.43 tff(9554,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s140, s141)) | (~always3(s140)) | always3(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s140, s141)) | (~always3(s140)) | always3(s141))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9555,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s140, s141)) | (~always3(s140)) | always3(s141))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9556,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s140, s141)) | (~always3(s140)) | always3(s141)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9555, 9554])).
% 13.70/9.43 tff(9557,plain,
% 13.70/9.43 ((~always3(s140)) | always3(s141)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9556, 125, 9553])).
% 13.70/9.43 tff(9558,plain,
% 13.70/9.43 (~always3(s140)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9557, 9532])).
% 13.70/9.43 tff(9559,plain,
% 13.70/9.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s140) | (~node4(s140)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s140) | (~node4(s140)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9560,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s140) | (~node4(s140)))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9561,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s140) | (~node4(s140))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9560, 9559])).
% 13.70/9.43 tff(9562,plain,
% 13.70/9.43 (~node4(s140)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9561, 36, 9558])).
% 13.70/9.43 tff(9563,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s140) | node4(s140) | (~until5(s140)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s140) | node4(s140) | (~until5(s140)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9564,plain,
% 13.70/9.43 ((node4(s140) | (~until5(s140)) | xuntil6(s140)) <=> (xuntil6(s140) | node4(s140) | (~until5(s140)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9565,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s140) | (~until5(s140)) | xuntil6(s140))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s140) | node4(s140) | (~until5(s140))))),
% 13.70/9.43 inference(monotonicity,[status(thm)],[9564])).
% 13.70/9.43 tff(9566,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s140) | (~until5(s140)) | xuntil6(s140))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s140) | node4(s140) | (~until5(s140)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9565, 9563])).
% 13.70/9.43 tff(9567,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s140) | (~until5(s140)) | xuntil6(s140))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9568,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s140) | node4(s140) | (~until5(s140))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9567, 9566])).
% 13.70/9.43 tff(9569,plain,
% 13.70/9.43 (xuntil6(s140) | (~until5(s140))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9568, 294, 9562])).
% 13.70/9.43 tff(9570,plain,
% 13.70/9.43 (~until5(s140)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9569, 9549])).
% 13.70/9.43 tff(9571,plain,
% 13.70/9.43 (succ(s139, s140) <=> succ(s139, s140)),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9572,axiom,(succ(s139, s140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound140')).
% 13.70/9.43 tff(9573,plain,
% 13.70/9.43 (succ(s139, s140)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 13.70/9.43 tff(9574,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9575,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9576,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9575, 9574])).
% 13.70/9.43 tff(9577,plain,
% 13.70/9.43 ((~xuntil6(s139)) | until5(s140)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9576, 9573, 312])).
% 13.70/9.43 tff(9578,plain,
% 13.70/9.43 (~xuntil6(s139)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9577, 9570])).
% 13.70/9.43 tff(9579,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9580,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9581,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 13.70/9.43 tff(9582,plain,
% 13.70/9.43 (trans(s139, s140)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9581, 9573, 52])).
% 13.70/9.43 tff(9583,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s139, s140)) | (~always3(s139)) | always3(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s139, s140)) | (~always3(s139)) | always3(s140))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9584,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s139, s140)) | (~always3(s139)) | always3(s140))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9585,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s139, s140)) | (~always3(s139)) | always3(s140)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 13.70/9.43 tff(9586,plain,
% 13.70/9.43 ((~always3(s139)) | always3(s140)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9585, 125, 9582])).
% 13.70/9.43 tff(9587,plain,
% 13.70/9.43 (~always3(s139)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9586, 9558])).
% 13.70/9.43 tff(9588,plain,
% 13.70/9.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s139) | (~node4(s139)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s139) | (~node4(s139)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9589,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s139) | (~node4(s139)))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9590,plain,
% 13.70/9.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s139) | (~node4(s139))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 13.70/9.43 tff(9591,plain,
% 13.70/9.43 (~node4(s139)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9590, 36, 9587])).
% 13.70/9.43 tff(9592,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s139) | node4(s139) | (~until5(s139)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s139) | node4(s139) | (~until5(s139)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9593,plain,
% 13.70/9.43 ((node4(s139) | (~until5(s139)) | xuntil6(s139)) <=> (xuntil6(s139) | node4(s139) | (~until5(s139)))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9594,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s139) | (~until5(s139)) | xuntil6(s139))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s139) | node4(s139) | (~until5(s139))))),
% 13.70/9.43 inference(monotonicity,[status(thm)],[9593])).
% 13.70/9.43 tff(9595,plain,
% 13.70/9.43 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s139) | (~until5(s139)) | xuntil6(s139))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s139) | node4(s139) | (~until5(s139)))),
% 13.70/9.43 inference(transitivity,[status(thm)],[9594, 9592])).
% 13.70/9.43 tff(9596,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s139) | (~until5(s139)) | xuntil6(s139))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9597,plain,
% 13.70/9.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s139) | node4(s139) | (~until5(s139))),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9596, 9595])).
% 13.70/9.43 tff(9598,plain,
% 13.70/9.43 (xuntil6(s139) | (~until5(s139))),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9597, 294, 9591])).
% 13.70/9.43 tff(9599,plain,
% 13.70/9.43 (~until5(s139)),
% 13.70/9.43 inference(unit_resolution,[status(thm)],[9598, 9578])).
% 13.70/9.43 tff(9600,plain,
% 13.70/9.43 (succ(s138, s139) <=> succ(s138, s139)),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9601,axiom,(succ(s138, s139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound139')).
% 13.70/9.43 tff(9602,plain,
% 13.70/9.43 (succ(s138, s139)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9601, 9600])).
% 13.70/9.43 tff(9603,plain,
% 13.70/9.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139))),
% 13.70/9.43 inference(rewrite,[status(thm)],[])).
% 13.70/9.43 tff(9604,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139))),
% 13.70/9.43 inference(quant_inst,[status(thm)],[])).
% 13.70/9.43 tff(9605,plain,
% 13.70/9.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139)),
% 13.70/9.43 inference(modus_ponens,[status(thm)],[9604, 9603])).
% 13.70/9.43 tff(9606,plain,
% 13.70/9.44 ((~xuntil6(s138)) | until5(s139)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9605, 9602, 312])).
% 13.70/9.44 tff(9607,plain,
% 13.70/9.44 (~xuntil6(s138)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9606, 9599])).
% 13.70/9.44 tff(9608,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9609,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9610,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 13.70/9.44 tff(9611,plain,
% 13.70/9.44 (trans(s138, s139)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9610, 9602, 52])).
% 13.70/9.44 tff(9612,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s138, s139)) | (~always3(s138)) | always3(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s138, s139)) | (~always3(s138)) | always3(s139))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9613,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s138, s139)) | (~always3(s138)) | always3(s139))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9614,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s138, s139)) | (~always3(s138)) | always3(s139)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9613, 9612])).
% 13.70/9.44 tff(9615,plain,
% 13.70/9.44 ((~always3(s138)) | always3(s139)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9614, 125, 9611])).
% 13.70/9.44 tff(9616,plain,
% 13.70/9.44 (~always3(s138)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9615, 9587])).
% 13.70/9.44 tff(9617,plain,
% 13.70/9.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s138) | (~node4(s138)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s138) | (~node4(s138)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9618,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s138) | (~node4(s138)))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9619,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s138) | (~node4(s138))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9618, 9617])).
% 13.70/9.44 tff(9620,plain,
% 13.70/9.44 (~node4(s138)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9619, 36, 9616])).
% 13.70/9.44 tff(9621,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s138) | node4(s138) | (~until5(s138)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s138) | node4(s138) | (~until5(s138)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9622,plain,
% 13.70/9.44 ((node4(s138) | (~until5(s138)) | xuntil6(s138)) <=> (xuntil6(s138) | node4(s138) | (~until5(s138)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9623,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s138) | (~until5(s138)) | xuntil6(s138))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s138) | node4(s138) | (~until5(s138))))),
% 13.70/9.44 inference(monotonicity,[status(thm)],[9622])).
% 13.70/9.44 tff(9624,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s138) | (~until5(s138)) | xuntil6(s138))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s138) | node4(s138) | (~until5(s138)))),
% 13.70/9.44 inference(transitivity,[status(thm)],[9623, 9621])).
% 13.70/9.44 tff(9625,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s138) | (~until5(s138)) | xuntil6(s138))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9626,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s138) | node4(s138) | (~until5(s138))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9625, 9624])).
% 13.70/9.44 tff(9627,plain,
% 13.70/9.44 (xuntil6(s138) | (~until5(s138))),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9626, 294, 9620])).
% 13.70/9.44 tff(9628,plain,
% 13.70/9.44 (~until5(s138)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9627, 9607])).
% 13.70/9.44 tff(9629,plain,
% 13.70/9.44 (succ(s137, s138) <=> succ(s137, s138)),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9630,axiom,(succ(s137, s138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound138')).
% 13.70/9.44 tff(9631,plain,
% 13.70/9.44 (succ(s137, s138)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 13.70/9.44 tff(9632,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9633,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9634,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9633, 9632])).
% 13.70/9.44 tff(9635,plain,
% 13.70/9.44 ((~xuntil6(s137)) | until5(s138)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9634, 9631, 312])).
% 13.70/9.44 tff(9636,plain,
% 13.70/9.44 (~xuntil6(s137)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9635, 9628])).
% 13.70/9.44 tff(9637,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9638,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9639,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9638, 9637])).
% 13.70/9.44 tff(9640,plain,
% 13.70/9.44 (trans(s137, s138)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9639, 9631, 52])).
% 13.70/9.44 tff(9641,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s137, s138)) | (~always3(s137)) | always3(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s137, s138)) | (~always3(s137)) | always3(s138))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9642,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s137, s138)) | (~always3(s137)) | always3(s138))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9643,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s137, s138)) | (~always3(s137)) | always3(s138)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9642, 9641])).
% 13.70/9.44 tff(9644,plain,
% 13.70/9.44 ((~always3(s137)) | always3(s138)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9643, 125, 9640])).
% 13.70/9.44 tff(9645,plain,
% 13.70/9.44 (~always3(s137)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9644, 9616])).
% 13.70/9.44 tff(9646,plain,
% 13.70/9.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s137) | (~node4(s137)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s137) | (~node4(s137)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9647,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s137) | (~node4(s137)))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9648,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s137) | (~node4(s137))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 13.70/9.44 tff(9649,plain,
% 13.70/9.44 (~node4(s137)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9648, 36, 9645])).
% 13.70/9.44 tff(9650,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s137) | node4(s137) | (~until5(s137)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s137) | node4(s137) | (~until5(s137)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9651,plain,
% 13.70/9.44 ((node4(s137) | (~until5(s137)) | xuntil6(s137)) <=> (xuntil6(s137) | node4(s137) | (~until5(s137)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9652,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s137) | (~until5(s137)) | xuntil6(s137))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s137) | node4(s137) | (~until5(s137))))),
% 13.70/9.44 inference(monotonicity,[status(thm)],[9651])).
% 13.70/9.44 tff(9653,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s137) | (~until5(s137)) | xuntil6(s137))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s137) | node4(s137) | (~until5(s137)))),
% 13.70/9.44 inference(transitivity,[status(thm)],[9652, 9650])).
% 13.70/9.44 tff(9654,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s137) | (~until5(s137)) | xuntil6(s137))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9655,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s137) | node4(s137) | (~until5(s137))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9654, 9653])).
% 13.70/9.44 tff(9656,plain,
% 13.70/9.44 (xuntil6(s137) | (~until5(s137))),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9655, 294, 9649])).
% 13.70/9.44 tff(9657,plain,
% 13.70/9.44 (~until5(s137)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9656, 9636])).
% 13.70/9.44 tff(9658,plain,
% 13.70/9.44 (succ(s136, s137) <=> succ(s136, s137)),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9659,axiom,(succ(s136, s137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound137')).
% 13.70/9.44 tff(9660,plain,
% 13.70/9.44 (succ(s136, s137)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 13.70/9.44 tff(9661,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9662,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9663,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 13.70/9.44 tff(9664,plain,
% 13.70/9.44 ((~xuntil6(s136)) | until5(s137)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9663, 9660, 312])).
% 13.70/9.44 tff(9665,plain,
% 13.70/9.44 (~xuntil6(s136)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9664, 9657])).
% 13.70/9.44 tff(9666,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9667,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9668,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9667, 9666])).
% 13.70/9.44 tff(9669,plain,
% 13.70/9.44 (trans(s136, s137)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9668, 9660, 52])).
% 13.70/9.44 tff(9670,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s136, s137)) | (~always3(s136)) | always3(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s136, s137)) | (~always3(s136)) | always3(s137))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9671,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s136, s137)) | (~always3(s136)) | always3(s137))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9672,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s136, s137)) | (~always3(s136)) | always3(s137)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9671, 9670])).
% 13.70/9.44 tff(9673,plain,
% 13.70/9.44 ((~always3(s136)) | always3(s137)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9672, 125, 9669])).
% 13.70/9.44 tff(9674,plain,
% 13.70/9.44 (~always3(s136)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9673, 9645])).
% 13.70/9.44 tff(9675,plain,
% 13.70/9.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s136) | (~node4(s136)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s136) | (~node4(s136)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9676,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s136) | (~node4(s136)))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9677,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s136) | (~node4(s136))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 13.70/9.44 tff(9678,plain,
% 13.70/9.44 (~node4(s136)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9677, 36, 9674])).
% 13.70/9.44 tff(9679,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s136) | node4(s136) | (~until5(s136)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s136) | node4(s136) | (~until5(s136)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9680,plain,
% 13.70/9.44 ((node4(s136) | (~until5(s136)) | xuntil6(s136)) <=> (xuntil6(s136) | node4(s136) | (~until5(s136)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9681,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s136) | (~until5(s136)) | xuntil6(s136))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s136) | node4(s136) | (~until5(s136))))),
% 13.70/9.44 inference(monotonicity,[status(thm)],[9680])).
% 13.70/9.44 tff(9682,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s136) | (~until5(s136)) | xuntil6(s136))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s136) | node4(s136) | (~until5(s136)))),
% 13.70/9.44 inference(transitivity,[status(thm)],[9681, 9679])).
% 13.70/9.44 tff(9683,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s136) | (~until5(s136)) | xuntil6(s136))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9684,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s136) | node4(s136) | (~until5(s136))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 13.70/9.44 tff(9685,plain,
% 13.70/9.44 (xuntil6(s136) | (~until5(s136))),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9684, 294, 9678])).
% 13.70/9.44 tff(9686,plain,
% 13.70/9.44 (~until5(s136)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9685, 9665])).
% 13.70/9.44 tff(9687,plain,
% 13.70/9.44 (succ(s135, s136) <=> succ(s135, s136)),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9688,axiom,(succ(s135, s136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound136')).
% 13.70/9.44 tff(9689,plain,
% 13.70/9.44 (succ(s135, s136)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 13.70/9.44 tff(9690,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9691,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9692,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9691, 9690])).
% 13.70/9.44 tff(9693,plain,
% 13.70/9.44 ((~xuntil6(s135)) | until5(s136)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9692, 9689, 312])).
% 13.70/9.44 tff(9694,plain,
% 13.70/9.44 (~xuntil6(s135)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9693, 9686])).
% 13.70/9.44 tff(9695,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9696,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9697,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9696, 9695])).
% 13.70/9.44 tff(9698,plain,
% 13.70/9.44 (trans(s135, s136)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9697, 9689, 52])).
% 13.70/9.44 tff(9699,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s135, s136)) | (~always3(s135)) | always3(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s135, s136)) | (~always3(s135)) | always3(s136))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9700,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s135, s136)) | (~always3(s135)) | always3(s136))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9701,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s135, s136)) | (~always3(s135)) | always3(s136)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 13.70/9.44 tff(9702,plain,
% 13.70/9.44 ((~always3(s135)) | always3(s136)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9701, 125, 9698])).
% 13.70/9.44 tff(9703,plain,
% 13.70/9.44 (~always3(s135)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9702, 9674])).
% 13.70/9.44 tff(9704,plain,
% 13.70/9.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9705,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9706,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 13.70/9.44 tff(9707,plain,
% 13.70/9.44 (~node4(s135)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9706, 36, 9703])).
% 13.70/9.44 tff(9708,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s135) | node4(s135) | (~until5(s135)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s135) | node4(s135) | (~until5(s135)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9709,plain,
% 13.70/9.44 ((node4(s135) | (~until5(s135)) | xuntil6(s135)) <=> (xuntil6(s135) | node4(s135) | (~until5(s135)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9710,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s135) | (~until5(s135)) | xuntil6(s135))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s135) | node4(s135) | (~until5(s135))))),
% 13.70/9.44 inference(monotonicity,[status(thm)],[9709])).
% 13.70/9.44 tff(9711,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s135) | (~until5(s135)) | xuntil6(s135))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s135) | node4(s135) | (~until5(s135)))),
% 13.70/9.44 inference(transitivity,[status(thm)],[9710, 9708])).
% 13.70/9.44 tff(9712,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s135) | (~until5(s135)) | xuntil6(s135))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9713,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s135) | node4(s135) | (~until5(s135))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9712, 9711])).
% 13.70/9.44 tff(9714,plain,
% 13.70/9.44 (xuntil6(s135) | (~until5(s135))),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9713, 294, 9707])).
% 13.70/9.44 tff(9715,plain,
% 13.70/9.44 (~until5(s135)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9714, 9694])).
% 13.70/9.44 tff(9716,plain,
% 13.70/9.44 (succ(s134, s135) <=> succ(s134, s135)),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9717,axiom,(succ(s134, s135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound135')).
% 13.70/9.44 tff(9718,plain,
% 13.70/9.44 (succ(s134, s135)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9717, 9716])).
% 13.70/9.44 tff(9719,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9720,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9721,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9720, 9719])).
% 13.70/9.44 tff(9722,plain,
% 13.70/9.44 ((~xuntil6(s134)) | until5(s135)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9721, 9718, 312])).
% 13.70/9.44 tff(9723,plain,
% 13.70/9.44 (~xuntil6(s134)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9722, 9715])).
% 13.70/9.44 tff(9724,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9725,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9726,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9725, 9724])).
% 13.70/9.44 tff(9727,plain,
% 13.70/9.44 (trans(s134, s135)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9726, 9718, 52])).
% 13.70/9.44 tff(9728,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s134, s135)) | (~always3(s134)) | always3(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s134, s135)) | (~always3(s134)) | always3(s135))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9729,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s134, s135)) | (~always3(s134)) | always3(s135))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9730,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s134, s135)) | (~always3(s134)) | always3(s135)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9729, 9728])).
% 13.70/9.44 tff(9731,plain,
% 13.70/9.44 ((~always3(s134)) | always3(s135)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9730, 125, 9727])).
% 13.70/9.44 tff(9732,plain,
% 13.70/9.44 (~always3(s134)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9731, 9703])).
% 13.70/9.44 tff(9733,plain,
% 13.70/9.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9734,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9735,plain,
% 13.70/9.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9734, 9733])).
% 13.70/9.44 tff(9736,plain,
% 13.70/9.44 (~node4(s134)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9735, 36, 9732])).
% 13.70/9.44 tff(9737,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s134) | node4(s134) | (~until5(s134)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9738,plain,
% 13.70/9.44 ((node4(s134) | (~until5(s134)) | xuntil6(s134)) <=> (xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9739,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s134) | (~until5(s134)) | xuntil6(s134))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s134) | node4(s134) | (~until5(s134))))),
% 13.70/9.44 inference(monotonicity,[status(thm)],[9738])).
% 13.70/9.44 tff(9740,plain,
% 13.70/9.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s134) | (~until5(s134)) | xuntil6(s134))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 13.70/9.44 inference(transitivity,[status(thm)],[9739, 9737])).
% 13.70/9.44 tff(9741,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s134) | (~until5(s134)) | xuntil6(s134))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9742,plain,
% 13.70/9.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134))),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9741, 9740])).
% 13.70/9.44 tff(9743,plain,
% 13.70/9.44 (xuntil6(s134) | (~until5(s134))),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9742, 294, 9736])).
% 13.70/9.44 tff(9744,plain,
% 13.70/9.44 (~until5(s134)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9743, 9723])).
% 13.70/9.44 tff(9745,plain,
% 13.70/9.44 (succ(s133, s134) <=> succ(s133, s134)),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9746,axiom,(succ(s133, s134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound134')).
% 13.70/9.44 tff(9747,plain,
% 13.70/9.44 (succ(s133, s134)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9746, 9745])).
% 13.70/9.44 tff(9748,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9749,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9750,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9749, 9748])).
% 13.70/9.44 tff(9751,plain,
% 13.70/9.44 ((~xuntil6(s133)) | until5(s134)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9750, 9747, 312])).
% 13.70/9.44 tff(9752,plain,
% 13.70/9.44 (~xuntil6(s133)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9751, 9744])).
% 13.70/9.44 tff(9753,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9754,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9755,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9754, 9753])).
% 13.70/9.44 tff(9756,plain,
% 13.70/9.44 (trans(s133, s134)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9755, 9747, 52])).
% 13.70/9.44 tff(9757,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s133, s134)) | (~always3(s133)) | always3(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s133, s134)) | (~always3(s133)) | always3(s134))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9758,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s133, s134)) | (~always3(s133)) | always3(s134))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9759,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s133, s134)) | (~always3(s133)) | always3(s134)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 13.70/9.44 tff(9760,plain,
% 13.70/9.44 ((~always3(s133)) | always3(s134)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9759, 125, 9756])).
% 13.70/9.44 tff(9761,plain,
% 13.70/9.44 (~always3(s133)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9760, 9732])).
% 13.70/9.44 tff(9762,plain,
% 13.70/9.44 (succ(s132, s133) <=> succ(s132, s133)),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9763,axiom,(succ(s132, s133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound133')).
% 13.70/9.44 tff(9764,plain,
% 13.70/9.44 (succ(s132, s133)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 13.70/9.44 tff(9765,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9766,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9767,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 13.70/9.44 tff(9768,plain,
% 13.70/9.44 (trans(s132, s133)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9767, 9764, 52])).
% 13.70/9.44 tff(9769,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s132, s133)) | (~always3(s132)) | always3(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s132, s133)) | (~always3(s132)) | always3(s133))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9770,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s132, s133)) | (~always3(s132)) | always3(s133))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9771,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s132, s133)) | (~always3(s132)) | always3(s133)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9770, 9769])).
% 13.70/9.44 tff(9772,plain,
% 13.70/9.44 ((~always3(s132)) | always3(s133)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9771, 125, 9768])).
% 13.70/9.44 tff(9773,plain,
% 13.70/9.44 (~always3(s132)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9772, 9761])).
% 13.70/9.44 tff(9774,plain,
% 13.70/9.44 (succ(s131, s132) <=> succ(s131, s132)),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9775,axiom,(succ(s131, s132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound132')).
% 13.70/9.44 tff(9776,plain,
% 13.70/9.44 (succ(s131, s132)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9775, 9774])).
% 13.70/9.44 tff(9777,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9778,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9779,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 13.70/9.44 tff(9780,plain,
% 13.70/9.44 (trans(s131, s132)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9779, 9776, 52])).
% 13.70/9.44 tff(9781,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s131, s132)) | (~always3(s131)) | always3(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s131, s132)) | (~always3(s131)) | always3(s132))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9782,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s131, s132)) | (~always3(s131)) | always3(s132))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9783,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s131, s132)) | (~always3(s131)) | always3(s132)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9782, 9781])).
% 13.70/9.44 tff(9784,plain,
% 13.70/9.44 ((~always3(s131)) | always3(s132)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9783, 125, 9780])).
% 13.70/9.44 tff(9785,plain,
% 13.70/9.44 (~always3(s131)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9784, 9773])).
% 13.70/9.44 tff(9786,plain,
% 13.70/9.44 (succ(s130, s131) <=> succ(s130, s131)),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9787,axiom,(succ(s130, s131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound131')).
% 13.70/9.44 tff(9788,plain,
% 13.70/9.44 (succ(s130, s131)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 13.70/9.44 tff(9789,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9790,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9791,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 13.70/9.44 inference(modus_ponens,[status(thm)],[9790, 9789])).
% 13.70/9.44 tff(9792,plain,
% 13.70/9.44 (trans(s130, s131)),
% 13.70/9.44 inference(unit_resolution,[status(thm)],[9791, 9788, 52])).
% 13.70/9.44 tff(9793,plain,
% 13.70/9.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s130, s131)) | (~always3(s130)) | always3(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s130, s131)) | (~always3(s130)) | always3(s131))),
% 13.70/9.44 inference(rewrite,[status(thm)],[])).
% 13.70/9.44 tff(9794,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s130, s131)) | (~always3(s130)) | always3(s131))),
% 13.70/9.44 inference(quant_inst,[status(thm)],[])).
% 13.70/9.44 tff(9795,plain,
% 13.70/9.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s130, s131)) | (~always3(s130)) | always3(s131)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9794, 9793])).
% 13.70/9.45 tff(9796,plain,
% 13.70/9.45 ((~always3(s130)) | always3(s131)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9795, 125, 9792])).
% 13.70/9.45 tff(9797,plain,
% 13.70/9.45 (~always3(s130)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9796, 9785])).
% 13.70/9.45 tff(9798,plain,
% 13.70/9.45 (succ(s129, s130) <=> succ(s129, s130)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9799,axiom,(succ(s129, s130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound130')).
% 13.70/9.45 tff(9800,plain,
% 13.70/9.45 (succ(s129, s130)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9799, 9798])).
% 13.70/9.45 tff(9801,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9802,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9803,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 13.70/9.45 tff(9804,plain,
% 13.70/9.45 (trans(s129, s130)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9803, 9800, 52])).
% 13.70/9.45 tff(9805,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s129, s130)) | (~always3(s129)) | always3(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s129, s130)) | (~always3(s129)) | always3(s130))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9806,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s129, s130)) | (~always3(s129)) | always3(s130))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9807,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s129, s130)) | (~always3(s129)) | always3(s130)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 13.70/9.45 tff(9808,plain,
% 13.70/9.45 ((~always3(s129)) | always3(s130)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9807, 125, 9804])).
% 13.70/9.45 tff(9809,plain,
% 13.70/9.45 (~always3(s129)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9808, 9797])).
% 13.70/9.45 tff(9810,plain,
% 13.70/9.45 (succ(s128, s129) <=> succ(s128, s129)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9811,axiom,(succ(s128, s129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound129')).
% 13.70/9.45 tff(9812,plain,
% 13.70/9.45 (succ(s128, s129)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9811, 9810])).
% 13.70/9.45 tff(9813,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9814,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9815,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 13.70/9.45 tff(9816,plain,
% 13.70/9.45 (trans(s128, s129)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9815, 9812, 52])).
% 13.70/9.45 tff(9817,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s128, s129)) | (~always3(s128)) | always3(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s128, s129)) | (~always3(s128)) | always3(s129))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9818,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s128, s129)) | (~always3(s128)) | always3(s129))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9819,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s128, s129)) | (~always3(s128)) | always3(s129)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 13.70/9.45 tff(9820,plain,
% 13.70/9.45 ((~always3(s128)) | always3(s129)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9819, 125, 9816])).
% 13.70/9.45 tff(9821,plain,
% 13.70/9.45 (~always3(s128)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9820, 9809])).
% 13.70/9.45 tff(9822,plain,
% 13.70/9.45 (succ(s127, s128) <=> succ(s127, s128)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9823,axiom,(succ(s127, s128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound128')).
% 13.70/9.45 tff(9824,plain,
% 13.70/9.45 (succ(s127, s128)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9823, 9822])).
% 13.70/9.45 tff(9825,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9826,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9827,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9826, 9825])).
% 13.70/9.45 tff(9828,plain,
% 13.70/9.45 (trans(s127, s128)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9827, 9824, 52])).
% 13.70/9.45 tff(9829,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s127, s128)) | (~always3(s127)) | always3(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s127, s128)) | (~always3(s127)) | always3(s128))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9830,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s127, s128)) | (~always3(s127)) | always3(s128))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9831,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s127, s128)) | (~always3(s127)) | always3(s128)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 13.70/9.45 tff(9832,plain,
% 13.70/9.45 ((~always3(s127)) | always3(s128)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9831, 125, 9828])).
% 13.70/9.45 tff(9833,plain,
% 13.70/9.45 (~always3(s127)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9832, 9821])).
% 13.70/9.45 tff(9834,plain,
% 13.70/9.45 (succ(s126, s127) <=> succ(s126, s127)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9835,axiom,(succ(s126, s127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound127')).
% 13.70/9.45 tff(9836,plain,
% 13.70/9.45 (succ(s126, s127)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9835, 9834])).
% 13.70/9.45 tff(9837,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9838,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9839,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9838, 9837])).
% 13.70/9.45 tff(9840,plain,
% 13.70/9.45 (trans(s126, s127)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9839, 9836, 52])).
% 13.70/9.45 tff(9841,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s126, s127)) | (~always3(s126)) | always3(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s126, s127)) | (~always3(s126)) | always3(s127))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9842,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s126, s127)) | (~always3(s126)) | always3(s127))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9843,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s126, s127)) | (~always3(s126)) | always3(s127)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9842, 9841])).
% 13.70/9.45 tff(9844,plain,
% 13.70/9.45 ((~always3(s126)) | always3(s127)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9843, 125, 9840])).
% 13.70/9.45 tff(9845,plain,
% 13.70/9.45 (~always3(s126)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9844, 9833])).
% 13.70/9.45 tff(9846,plain,
% 13.70/9.45 (succ(s125, s126) <=> succ(s125, s126)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9847,axiom,(succ(s125, s126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound126')).
% 13.70/9.45 tff(9848,plain,
% 13.70/9.45 (succ(s125, s126)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9847, 9846])).
% 13.70/9.45 tff(9849,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9850,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9851,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 13.70/9.45 tff(9852,plain,
% 13.70/9.45 (trans(s125, s126)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9851, 9848, 52])).
% 13.70/9.45 tff(9853,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s125, s126)) | (~always3(s125)) | always3(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s125, s126)) | (~always3(s125)) | always3(s126))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9854,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s125, s126)) | (~always3(s125)) | always3(s126))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9855,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s125, s126)) | (~always3(s125)) | always3(s126)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9854, 9853])).
% 13.70/9.45 tff(9856,plain,
% 13.70/9.45 ((~always3(s125)) | always3(s126)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9855, 125, 9852])).
% 13.70/9.45 tff(9857,plain,
% 13.70/9.45 (~always3(s125)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9856, 9845])).
% 13.70/9.45 tff(9858,plain,
% 13.70/9.45 (succ(s124, s125) <=> succ(s124, s125)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9859,axiom,(succ(s124, s125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound125')).
% 13.70/9.45 tff(9860,plain,
% 13.70/9.45 (succ(s124, s125)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 13.70/9.45 tff(9861,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9862,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9863,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 13.70/9.45 tff(9864,plain,
% 13.70/9.45 (trans(s124, s125)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9863, 9860, 52])).
% 13.70/9.45 tff(9865,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s124, s125)) | (~always3(s124)) | always3(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s124, s125)) | (~always3(s124)) | always3(s125))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9866,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s124, s125)) | (~always3(s124)) | always3(s125))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9867,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s124, s125)) | (~always3(s124)) | always3(s125)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9866, 9865])).
% 13.70/9.45 tff(9868,plain,
% 13.70/9.45 ((~always3(s124)) | always3(s125)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9867, 125, 9864])).
% 13.70/9.45 tff(9869,plain,
% 13.70/9.45 (~always3(s124)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9868, 9857])).
% 13.70/9.45 tff(9870,plain,
% 13.70/9.45 (succ(s123, s124) <=> succ(s123, s124)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9871,axiom,(succ(s123, s124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound124')).
% 13.70/9.45 tff(9872,plain,
% 13.70/9.45 (succ(s123, s124)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9871, 9870])).
% 13.70/9.45 tff(9873,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9874,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9875,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9874, 9873])).
% 13.70/9.45 tff(9876,plain,
% 13.70/9.45 (trans(s123, s124)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9875, 9872, 52])).
% 13.70/9.45 tff(9877,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s123, s124)) | (~always3(s123)) | always3(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s123, s124)) | (~always3(s123)) | always3(s124))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9878,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s123, s124)) | (~always3(s123)) | always3(s124))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9879,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s123, s124)) | (~always3(s123)) | always3(s124)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9878, 9877])).
% 13.70/9.45 tff(9880,plain,
% 13.70/9.45 ((~always3(s123)) | always3(s124)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9879, 125, 9876])).
% 13.70/9.45 tff(9881,plain,
% 13.70/9.45 (~always3(s123)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9880, 9869])).
% 13.70/9.45 tff(9882,plain,
% 13.70/9.45 (succ(s122, s123) <=> succ(s122, s123)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9883,axiom,(succ(s122, s123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound123')).
% 13.70/9.45 tff(9884,plain,
% 13.70/9.45 (succ(s122, s123)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9883, 9882])).
% 13.70/9.45 tff(9885,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9886,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9887,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9886, 9885])).
% 13.70/9.45 tff(9888,plain,
% 13.70/9.45 (trans(s122, s123)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9887, 9884, 52])).
% 13.70/9.45 tff(9889,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s122, s123)) | (~always3(s122)) | always3(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s122, s123)) | (~always3(s122)) | always3(s123))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9890,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s122, s123)) | (~always3(s122)) | always3(s123))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9891,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s122, s123)) | (~always3(s122)) | always3(s123)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 13.70/9.45 tff(9892,plain,
% 13.70/9.45 ((~always3(s122)) | always3(s123)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9891, 125, 9888])).
% 13.70/9.45 tff(9893,plain,
% 13.70/9.45 (~always3(s122)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9892, 9881])).
% 13.70/9.45 tff(9894,plain,
% 13.70/9.45 (succ(s121, s122) <=> succ(s121, s122)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9895,axiom,(succ(s121, s122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound122')).
% 13.70/9.45 tff(9896,plain,
% 13.70/9.45 (succ(s121, s122)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9895, 9894])).
% 13.70/9.45 tff(9897,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9898,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9899,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 13.70/9.45 tff(9900,plain,
% 13.70/9.45 (trans(s121, s122)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9899, 9896, 52])).
% 13.70/9.45 tff(9901,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s121, s122)) | (~always3(s121)) | always3(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s121, s122)) | (~always3(s121)) | always3(s122))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9902,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s121, s122)) | (~always3(s121)) | always3(s122))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9903,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s121, s122)) | (~always3(s121)) | always3(s122)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9902, 9901])).
% 13.70/9.45 tff(9904,plain,
% 13.70/9.45 ((~always3(s121)) | always3(s122)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9903, 125, 9900])).
% 13.70/9.45 tff(9905,plain,
% 13.70/9.45 (~always3(s121)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9904, 9893])).
% 13.70/9.45 tff(9906,plain,
% 13.70/9.45 (succ(s120, s121) <=> succ(s120, s121)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9907,axiom,(succ(s120, s121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound121')).
% 13.70/9.45 tff(9908,plain,
% 13.70/9.45 (succ(s120, s121)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9907, 9906])).
% 13.70/9.45 tff(9909,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9910,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9911,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9910, 9909])).
% 13.70/9.45 tff(9912,plain,
% 13.70/9.45 (trans(s120, s121)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9911, 9908, 52])).
% 13.70/9.45 tff(9913,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s120, s121)) | (~always3(s120)) | always3(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s120, s121)) | (~always3(s120)) | always3(s121))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9914,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s120, s121)) | (~always3(s120)) | always3(s121))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9915,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s120, s121)) | (~always3(s120)) | always3(s121)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9914, 9913])).
% 13.70/9.45 tff(9916,plain,
% 13.70/9.45 ((~always3(s120)) | always3(s121)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9915, 125, 9912])).
% 13.70/9.45 tff(9917,plain,
% 13.70/9.45 (~always3(s120)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9916, 9905])).
% 13.70/9.45 tff(9918,plain,
% 13.70/9.45 (succ(s119, s120) <=> succ(s119, s120)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9919,axiom,(succ(s119, s120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound120')).
% 13.70/9.45 tff(9920,plain,
% 13.70/9.45 (succ(s119, s120)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9919, 9918])).
% 13.70/9.45 tff(9921,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9922,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9923,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 13.70/9.45 tff(9924,plain,
% 13.70/9.45 (trans(s119, s120)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9923, 9920, 52])).
% 13.70/9.45 tff(9925,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s119, s120)) | (~always3(s119)) | always3(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s119, s120)) | (~always3(s119)) | always3(s120))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9926,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s119, s120)) | (~always3(s119)) | always3(s120))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9927,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s119, s120)) | (~always3(s119)) | always3(s120)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9926, 9925])).
% 13.70/9.45 tff(9928,plain,
% 13.70/9.45 ((~always3(s119)) | always3(s120)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9927, 125, 9924])).
% 13.70/9.45 tff(9929,plain,
% 13.70/9.45 (~always3(s119)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9928, 9917])).
% 13.70/9.45 tff(9930,plain,
% 13.70/9.45 (succ(s118, s119) <=> succ(s118, s119)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9931,axiom,(succ(s118, s119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound119')).
% 13.70/9.45 tff(9932,plain,
% 13.70/9.45 (succ(s118, s119)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9931, 9930])).
% 13.70/9.45 tff(9933,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9934,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9935,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 13.70/9.45 tff(9936,plain,
% 13.70/9.45 (trans(s118, s119)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9935, 9932, 52])).
% 13.70/9.45 tff(9937,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s118, s119)) | (~always3(s118)) | always3(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s118, s119)) | (~always3(s118)) | always3(s119))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9938,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s118, s119)) | (~always3(s118)) | always3(s119))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9939,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s118, s119)) | (~always3(s118)) | always3(s119)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 13.70/9.45 tff(9940,plain,
% 13.70/9.45 ((~always3(s118)) | always3(s119)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9939, 125, 9936])).
% 13.70/9.45 tff(9941,plain,
% 13.70/9.45 (~always3(s118)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9940, 9929])).
% 13.70/9.45 tff(9942,plain,
% 13.70/9.45 (succ(s117, s118) <=> succ(s117, s118)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9943,axiom,(succ(s117, s118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound118')).
% 13.70/9.45 tff(9944,plain,
% 13.70/9.45 (succ(s117, s118)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9943, 9942])).
% 13.70/9.45 tff(9945,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9946,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9947,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 13.70/9.45 tff(9948,plain,
% 13.70/9.45 (trans(s117, s118)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9947, 9944, 52])).
% 13.70/9.45 tff(9949,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s117, s118)) | (~always3(s117)) | always3(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s117, s118)) | (~always3(s117)) | always3(s118))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9950,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s117, s118)) | (~always3(s117)) | always3(s118))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9951,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s117, s118)) | (~always3(s117)) | always3(s118)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9950, 9949])).
% 13.70/9.45 tff(9952,plain,
% 13.70/9.45 ((~always3(s117)) | always3(s118)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9951, 125, 9948])).
% 13.70/9.45 tff(9953,plain,
% 13.70/9.45 (~always3(s117)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9952, 9941])).
% 13.70/9.45 tff(9954,plain,
% 13.70/9.45 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117)))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9955,plain,
% 13.70/9.45 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9956,plain,
% 13.70/9.45 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117))),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9955, 9954])).
% 13.70/9.45 tff(9957,plain,
% 13.70/9.45 (~node4(s117)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9956, 36, 9953])).
% 13.70/9.45 tff(9958,plain,
% 13.70/9.45 (succ(s116, s117) <=> succ(s116, s117)),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9959,axiom,(succ(s116, s117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound117')).
% 13.70/9.45 tff(9960,plain,
% 13.70/9.45 (succ(s116, s117)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9959, 9958])).
% 13.70/9.45 tff(9961,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9962,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9963,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9962, 9961])).
% 13.70/9.45 tff(9964,plain,
% 13.70/9.45 (trans(s116, s117)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9963, 9960, 52])).
% 13.70/9.45 tff(9965,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s116, s117)) | (~always3(s116)) | always3(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s116, s117)) | (~always3(s116)) | always3(s117))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9966,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s116, s117)) | (~always3(s116)) | always3(s117))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9967,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s116, s117)) | (~always3(s116)) | always3(s117)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 13.70/9.45 tff(9968,plain,
% 13.70/9.45 ((~always3(s116)) | always3(s117)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9967, 125, 9964])).
% 13.70/9.45 tff(9969,plain,
% 13.70/9.45 (~always3(s116)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9968, 9953])).
% 13.70/9.45 tff(9970,plain,
% 13.70/9.45 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116)))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9971,plain,
% 13.70/9.45 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9972,plain,
% 13.70/9.45 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116))),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9971, 9970])).
% 13.70/9.45 tff(9973,plain,
% 13.70/9.45 (~node4(s116)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9972, 36, 9969])).
% 13.70/9.45 tff(9974,plain,
% 13.70/9.45 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s116) | node4(s116) | (~until5(s116)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9975,plain,
% 13.70/9.45 ((node4(s116) | (~until5(s116)) | xuntil6(s116)) <=> (xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9976,plain,
% 13.70/9.45 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s116) | node4(s116) | (~until5(s116))))),
% 13.70/9.45 inference(monotonicity,[status(thm)],[9975])).
% 13.70/9.45 tff(9977,plain,
% 13.70/9.45 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 13.70/9.45 inference(transitivity,[status(thm)],[9976, 9974])).
% 13.70/9.45 tff(9978,plain,
% 13.70/9.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9979,plain,
% 13.70/9.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116))),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 13.70/9.45 tff(9980,plain,
% 13.70/9.45 (xuntil6(s116) | node4(s116)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9979, 294, 9303])).
% 13.70/9.45 tff(9981,plain,
% 13.70/9.45 (xuntil6(s116)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9980, 9973])).
% 13.70/9.45 tff(9982,plain,
% 13.70/9.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9983,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9984,plain,
% 13.70/9.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117)),
% 13.70/9.45 inference(modus_ponens,[status(thm)],[9983, 9982])).
% 13.70/9.45 tff(9985,plain,
% 13.70/9.45 ((~xuntil6(s116)) | until5(s117)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9984, 9960, 312])).
% 13.70/9.45 tff(9986,plain,
% 13.70/9.45 (until5(s117)),
% 13.70/9.45 inference(unit_resolution,[status(thm)],[9985, 9981])).
% 13.70/9.45 tff(9987,plain,
% 13.70/9.45 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s117) | node4(s117) | (~until5(s117)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9988,plain,
% 13.70/9.45 ((node4(s117) | (~until5(s117)) | xuntil6(s117)) <=> (xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 13.70/9.45 inference(rewrite,[status(thm)],[])).
% 13.70/9.45 tff(9989,plain,
% 13.70/9.45 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s117) | node4(s117) | (~until5(s117))))),
% 13.70/9.45 inference(monotonicity,[status(thm)],[9988])).
% 13.70/9.45 tff(9990,plain,
% 13.70/9.45 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 13.70/9.45 inference(transitivity,[status(thm)],[9989, 9987])).
% 13.70/9.45 tff(9991,plain,
% 13.70/9.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))),
% 13.70/9.45 inference(quant_inst,[status(thm)],[])).
% 13.70/9.45 tff(9992,plain,
% 13.70/9.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[9991, 9990])).
% 13.70/9.46 tff(9993,plain,
% 13.70/9.46 (xuntil6(s117)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[9992, 294, 9986, 9957])).
% 13.70/9.46 tff(9994,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(9995,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(9996,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[9995, 9994])).
% 13.70/9.46 tff(9997,plain,
% 13.70/9.46 ((~xuntil6(s117)) | until5(s118)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[9996, 9944, 312])).
% 13.70/9.46 tff(9998,plain,
% 13.70/9.46 (until5(s118)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[9997, 9993])).
% 13.70/9.46 tff(9999,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10000,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10001,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10000, 9999])).
% 13.70/9.46 tff(10002,plain,
% 13.70/9.46 (~node4(s118)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10001, 36, 9941])).
% 13.70/9.46 tff(10003,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s118) | node4(s118) | (~until5(s118)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10004,plain,
% 13.70/9.46 ((node4(s118) | (~until5(s118)) | xuntil6(s118)) <=> (xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10005,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s118) | node4(s118) | (~until5(s118))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10004])).
% 13.70/9.46 tff(10006,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10005, 10003])).
% 13.70/9.46 tff(10007,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10008,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10007, 10006])).
% 13.70/9.46 tff(10009,plain,
% 13.70/9.46 (xuntil6(s118) | (~until5(s118))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10008, 294, 10002])).
% 13.70/9.46 tff(10010,plain,
% 13.70/9.46 (xuntil6(s118)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10009, 9998])).
% 13.70/9.46 tff(10011,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10012,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10013,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10012, 10011])).
% 13.70/9.46 tff(10014,plain,
% 13.70/9.46 ((~xuntil6(s118)) | until5(s119)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10013, 9932, 312])).
% 13.70/9.46 tff(10015,plain,
% 13.70/9.46 (until5(s119)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10014, 10010])).
% 13.70/9.46 tff(10016,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10017,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10018,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 13.70/9.46 tff(10019,plain,
% 13.70/9.46 (~node4(s119)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10018, 36, 9929])).
% 13.70/9.46 tff(10020,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s119) | node4(s119) | (~until5(s119)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10021,plain,
% 13.70/9.46 ((node4(s119) | (~until5(s119)) | xuntil6(s119)) <=> (xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10022,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s119) | node4(s119) | (~until5(s119))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10021])).
% 13.70/9.46 tff(10023,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10022, 10020])).
% 13.70/9.46 tff(10024,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10025,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10024, 10023])).
% 13.70/9.46 tff(10026,plain,
% 13.70/9.46 (xuntil6(s119) | (~until5(s119))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10025, 294, 10019])).
% 13.70/9.46 tff(10027,plain,
% 13.70/9.46 (xuntil6(s119)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10026, 10015])).
% 13.70/9.46 tff(10028,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10029,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10030,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 13.70/9.46 tff(10031,plain,
% 13.70/9.46 ((~xuntil6(s119)) | until5(s120)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10030, 9920, 312])).
% 13.70/9.46 tff(10032,plain,
% 13.70/9.46 (until5(s120)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10031, 10027])).
% 13.70/9.46 tff(10033,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10034,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10035,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10034, 10033])).
% 13.70/9.46 tff(10036,plain,
% 13.70/9.46 (~node4(s120)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10035, 36, 9917])).
% 13.70/9.46 tff(10037,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s120) | node4(s120) | (~until5(s120)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10038,plain,
% 13.70/9.46 ((node4(s120) | (~until5(s120)) | xuntil6(s120)) <=> (xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10039,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s120) | node4(s120) | (~until5(s120))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10038])).
% 13.70/9.46 tff(10040,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10039, 10037])).
% 13.70/9.46 tff(10041,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10042,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 13.70/9.46 tff(10043,plain,
% 13.70/9.46 (xuntil6(s120) | (~until5(s120))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10042, 294, 10036])).
% 13.70/9.46 tff(10044,plain,
% 13.70/9.46 (xuntil6(s120)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10043, 10032])).
% 13.70/9.46 tff(10045,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10046,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10047,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10046, 10045])).
% 13.70/9.46 tff(10048,plain,
% 13.70/9.46 ((~xuntil6(s120)) | until5(s121)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10047, 9908, 312])).
% 13.70/9.46 tff(10049,plain,
% 13.70/9.46 (until5(s121)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10048, 10044])).
% 13.70/9.46 tff(10050,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10051,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10052,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10051, 10050])).
% 13.70/9.46 tff(10053,plain,
% 13.70/9.46 (~node4(s121)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10052, 36, 9905])).
% 13.70/9.46 tff(10054,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s121) | node4(s121) | (~until5(s121)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10055,plain,
% 13.70/9.46 ((node4(s121) | (~until5(s121)) | xuntil6(s121)) <=> (xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10056,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s121) | (~until5(s121)) | xuntil6(s121))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s121) | node4(s121) | (~until5(s121))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10055])).
% 13.70/9.46 tff(10057,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s121) | (~until5(s121)) | xuntil6(s121))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10056, 10054])).
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% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10059,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10058, 10057])).
% 13.70/9.46 tff(10060,plain,
% 13.70/9.46 (xuntil6(s121) | (~until5(s121))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10059, 294, 10053])).
% 13.70/9.46 tff(10061,plain,
% 13.70/9.46 (xuntil6(s121)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10060, 10049])).
% 13.70/9.46 tff(10062,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10063,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10064,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10063, 10062])).
% 13.70/9.46 tff(10065,plain,
% 13.70/9.46 ((~xuntil6(s121)) | until5(s122)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10064, 9896, 312])).
% 13.70/9.46 tff(10066,plain,
% 13.70/9.46 (until5(s122)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10065, 10061])).
% 13.70/9.46 tff(10067,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10068,plain,
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% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10069,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10068, 10067])).
% 13.70/9.46 tff(10070,plain,
% 13.70/9.46 (~node4(s122)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10069, 36, 9893])).
% 13.70/9.46 tff(10071,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s122) | node4(s122) | (~until5(s122)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10072,plain,
% 13.70/9.46 ((node4(s122) | (~until5(s122)) | xuntil6(s122)) <=> (xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10073,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s122) | (~until5(s122)) | xuntil6(s122))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s122) | node4(s122) | (~until5(s122))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10072])).
% 13.70/9.46 tff(10074,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s122) | (~until5(s122)) | xuntil6(s122))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10073, 10071])).
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% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10076,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10075, 10074])).
% 13.70/9.46 tff(10077,plain,
% 13.70/9.46 (xuntil6(s122) | (~until5(s122))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10076, 294, 10070])).
% 13.70/9.46 tff(10078,plain,
% 13.70/9.46 (xuntil6(s122)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10077, 10066])).
% 13.70/9.46 tff(10079,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10080,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10081,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10080, 10079])).
% 13.70/9.46 tff(10082,plain,
% 13.70/9.46 ((~xuntil6(s122)) | until5(s123)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10081, 9884, 312])).
% 13.70/9.46 tff(10083,plain,
% 13.70/9.46 (until5(s123)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10082, 10078])).
% 13.70/9.46 tff(10084,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10085,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10086,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 13.70/9.46 tff(10087,plain,
% 13.70/9.46 (~node4(s123)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10086, 36, 9881])).
% 13.70/9.46 tff(10088,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s123) | node4(s123) | (~until5(s123)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10089,plain,
% 13.70/9.46 ((node4(s123) | (~until5(s123)) | xuntil6(s123)) <=> (xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10090,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s123) | node4(s123) | (~until5(s123))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10089])).
% 13.70/9.46 tff(10091,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10090, 10088])).
% 13.70/9.46 tff(10092,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10093,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 13.70/9.46 tff(10094,plain,
% 13.70/9.46 (xuntil6(s123) | (~until5(s123))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10093, 294, 10087])).
% 13.70/9.46 tff(10095,plain,
% 13.70/9.46 (xuntil6(s123)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10094, 10083])).
% 13.70/9.46 tff(10096,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10097,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10098,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10097, 10096])).
% 13.70/9.46 tff(10099,plain,
% 13.70/9.46 ((~xuntil6(s123)) | until5(s124)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10098, 9872, 312])).
% 13.70/9.46 tff(10100,plain,
% 13.70/9.46 (until5(s124)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10099, 10095])).
% 13.70/9.46 tff(10101,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10102,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10103,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10102, 10101])).
% 13.70/9.46 tff(10104,plain,
% 13.70/9.46 (~node4(s124)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10103, 36, 9869])).
% 13.70/9.46 tff(10105,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s124) | node4(s124) | (~until5(s124)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10106,plain,
% 13.70/9.46 ((node4(s124) | (~until5(s124)) | xuntil6(s124)) <=> (xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10107,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s124) | node4(s124) | (~until5(s124))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10106])).
% 13.70/9.46 tff(10108,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10107, 10105])).
% 13.70/9.46 tff(10109,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10110,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 13.70/9.46 tff(10111,plain,
% 13.70/9.46 (xuntil6(s124) | (~until5(s124))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10110, 294, 10104])).
% 13.70/9.46 tff(10112,plain,
% 13.70/9.46 (xuntil6(s124)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10111, 10100])).
% 13.70/9.46 tff(10113,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10114,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10115,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10114, 10113])).
% 13.70/9.46 tff(10116,plain,
% 13.70/9.46 ((~xuntil6(s124)) | until5(s125)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10115, 9860, 312])).
% 13.70/9.46 tff(10117,plain,
% 13.70/9.46 (until5(s125)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10116, 10112])).
% 13.70/9.46 tff(10118,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10119,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10120,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10119, 10118])).
% 13.70/9.46 tff(10121,plain,
% 13.70/9.46 (~node4(s125)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10120, 36, 9857])).
% 13.70/9.46 tff(10122,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s125) | node4(s125) | (~until5(s125)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10123,plain,
% 13.70/9.46 ((node4(s125) | (~until5(s125)) | xuntil6(s125)) <=> (xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10124,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s125) | node4(s125) | (~until5(s125))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10123])).
% 13.70/9.46 tff(10125,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10124, 10122])).
% 13.70/9.46 tff(10126,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10127,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10126, 10125])).
% 13.70/9.46 tff(10128,plain,
% 13.70/9.46 (xuntil6(s125) | (~until5(s125))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10127, 294, 10121])).
% 13.70/9.46 tff(10129,plain,
% 13.70/9.46 (xuntil6(s125)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10128, 10117])).
% 13.70/9.46 tff(10130,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10131,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10132,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 13.70/9.46 tff(10133,plain,
% 13.70/9.46 ((~xuntil6(s125)) | until5(s126)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10132, 9848, 312])).
% 13.70/9.46 tff(10134,plain,
% 13.70/9.46 (until5(s126)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10133, 10129])).
% 13.70/9.46 tff(10135,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10136,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10137,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10136, 10135])).
% 13.70/9.46 tff(10138,plain,
% 13.70/9.46 (~node4(s126)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10137, 36, 9845])).
% 13.70/9.46 tff(10139,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s126) | node4(s126) | (~until5(s126)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10140,plain,
% 13.70/9.46 ((node4(s126) | (~until5(s126)) | xuntil6(s126)) <=> (xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10141,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s126) | node4(s126) | (~until5(s126))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10140])).
% 13.70/9.46 tff(10142,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10141, 10139])).
% 13.70/9.46 tff(10143,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10144,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10143, 10142])).
% 13.70/9.46 tff(10145,plain,
% 13.70/9.46 (xuntil6(s126) | (~until5(s126))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10144, 294, 10138])).
% 13.70/9.46 tff(10146,plain,
% 13.70/9.46 (xuntil6(s126)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10145, 10134])).
% 13.70/9.46 tff(10147,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10148,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10149,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 13.70/9.46 tff(10150,plain,
% 13.70/9.46 ((~xuntil6(s126)) | until5(s127)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10149, 9836, 312])).
% 13.70/9.46 tff(10151,plain,
% 13.70/9.46 (until5(s127)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10150, 10146])).
% 13.70/9.46 tff(10152,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10153,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10154,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10153, 10152])).
% 13.70/9.46 tff(10155,plain,
% 13.70/9.46 (~node4(s127)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10154, 36, 9833])).
% 13.70/9.46 tff(10156,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s127) | node4(s127) | (~until5(s127)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10157,plain,
% 13.70/9.46 ((node4(s127) | (~until5(s127)) | xuntil6(s127)) <=> (xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10158,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s127) | node4(s127) | (~until5(s127))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10157])).
% 13.70/9.46 tff(10159,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10158, 10156])).
% 13.70/9.46 tff(10160,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10161,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 13.70/9.46 tff(10162,plain,
% 13.70/9.46 (xuntil6(s127) | (~until5(s127))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10161, 294, 10155])).
% 13.70/9.46 tff(10163,plain,
% 13.70/9.46 (xuntil6(s127)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10162, 10151])).
% 13.70/9.46 tff(10164,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10165,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10166,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10165, 10164])).
% 13.70/9.46 tff(10167,plain,
% 13.70/9.46 ((~xuntil6(s127)) | until5(s128)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10166, 9824, 312])).
% 13.70/9.46 tff(10168,plain,
% 13.70/9.46 (until5(s128)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10167, 10163])).
% 13.70/9.46 tff(10169,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10170,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10171,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10170, 10169])).
% 13.70/9.46 tff(10172,plain,
% 13.70/9.46 (~node4(s128)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10171, 36, 9821])).
% 13.70/9.46 tff(10173,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s128) | node4(s128) | (~until5(s128)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10174,plain,
% 13.70/9.46 ((node4(s128) | (~until5(s128)) | xuntil6(s128)) <=> (xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10175,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s128) | node4(s128) | (~until5(s128))))),
% 13.70/9.46 inference(monotonicity,[status(thm)],[10174])).
% 13.70/9.46 tff(10176,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 13.70/9.46 inference(transitivity,[status(thm)],[10175, 10173])).
% 13.70/9.46 tff(10177,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10178,plain,
% 13.70/9.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10177, 10176])).
% 13.70/9.46 tff(10179,plain,
% 13.70/9.46 (xuntil6(s128) | (~until5(s128))),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10178, 294, 10172])).
% 13.70/9.46 tff(10180,plain,
% 13.70/9.46 (xuntil6(s128)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10179, 10168])).
% 13.70/9.46 tff(10181,plain,
% 13.70/9.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10182,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10183,plain,
% 13.70/9.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129)),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 13.70/9.46 tff(10184,plain,
% 13.70/9.46 ((~xuntil6(s128)) | until5(s129)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10183, 9812, 312])).
% 13.70/9.46 tff(10185,plain,
% 13.70/9.46 (until5(s129)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10184, 10180])).
% 13.70/9.46 tff(10186,plain,
% 13.70/9.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129)))),
% 13.70/9.46 inference(rewrite,[status(thm)],[])).
% 13.70/9.46 tff(10187,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))),
% 13.70/9.46 inference(quant_inst,[status(thm)],[])).
% 13.70/9.46 tff(10188,plain,
% 13.70/9.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129))),
% 13.70/9.46 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 13.70/9.46 tff(10189,plain,
% 13.70/9.46 (~node4(s129)),
% 13.70/9.46 inference(unit_resolution,[status(thm)],[10188, 36, 9809])).
% 13.70/9.46 tff(10190,plain,
% 13.70/9.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s129) | node4(s129) | (~until5(s129)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10191,plain,
% 13.70/9.47 ((node4(s129) | (~until5(s129)) | xuntil6(s129)) <=> (xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10192,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s129) | node4(s129) | (~until5(s129))))),
% 13.70/9.47 inference(monotonicity,[status(thm)],[10191])).
% 13.70/9.47 tff(10193,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 13.70/9.47 inference(transitivity,[status(thm)],[10192, 10190])).
% 13.70/9.47 tff(10194,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10195,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10194, 10193])).
% 13.70/9.47 tff(10196,plain,
% 13.70/9.47 (xuntil6(s129) | (~until5(s129))),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10195, 294, 10189])).
% 13.70/9.47 tff(10197,plain,
% 13.70/9.47 (xuntil6(s129)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10196, 10185])).
% 13.70/9.47 tff(10198,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10199,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10200,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10199, 10198])).
% 13.70/9.47 tff(10201,plain,
% 13.70/9.47 ((~xuntil6(s129)) | until5(s130)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10200, 9800, 312])).
% 13.70/9.47 tff(10202,plain,
% 13.70/9.47 (until5(s130)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10201, 10197])).
% 13.70/9.47 tff(10203,plain,
% 13.70/9.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10204,plain,
% 13.70/9.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10205,plain,
% 13.70/9.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10204, 10203])).
% 13.70/9.47 tff(10206,plain,
% 13.70/9.47 (~node4(s130)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10205, 36, 9797])).
% 13.70/9.47 tff(10207,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s130) | node4(s130) | (~until5(s130)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10208,plain,
% 13.70/9.47 ((node4(s130) | (~until5(s130)) | xuntil6(s130)) <=> (xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10209,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s130) | node4(s130) | (~until5(s130))))),
% 13.70/9.47 inference(monotonicity,[status(thm)],[10208])).
% 13.70/9.47 tff(10210,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 13.70/9.47 inference(transitivity,[status(thm)],[10209, 10207])).
% 13.70/9.47 tff(10211,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10212,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10211, 10210])).
% 13.70/9.47 tff(10213,plain,
% 13.70/9.47 (xuntil6(s130) | (~until5(s130))),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10212, 294, 10206])).
% 13.70/9.47 tff(10214,plain,
% 13.70/9.47 (xuntil6(s130)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10213, 10202])).
% 13.70/9.47 tff(10215,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10216,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10217,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10216, 10215])).
% 13.70/9.47 tff(10218,plain,
% 13.70/9.47 ((~xuntil6(s130)) | until5(s131)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10217, 9788, 312])).
% 13.70/9.47 tff(10219,plain,
% 13.70/9.47 (until5(s131)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10218, 10214])).
% 13.70/9.47 tff(10220,plain,
% 13.70/9.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10221,plain,
% 13.70/9.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10222,plain,
% 13.70/9.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10221, 10220])).
% 13.70/9.47 tff(10223,plain,
% 13.70/9.47 (~node4(s131)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10222, 36, 9785])).
% 13.70/9.47 tff(10224,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s131) | node4(s131) | (~until5(s131)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10225,plain,
% 13.70/9.47 ((node4(s131) | (~until5(s131)) | xuntil6(s131)) <=> (xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10226,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s131) | node4(s131) | (~until5(s131))))),
% 13.70/9.47 inference(monotonicity,[status(thm)],[10225])).
% 13.70/9.47 tff(10227,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 13.70/9.47 inference(transitivity,[status(thm)],[10226, 10224])).
% 13.70/9.47 tff(10228,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10229,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10228, 10227])).
% 13.70/9.47 tff(10230,plain,
% 13.70/9.47 (xuntil6(s131) | (~until5(s131))),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10229, 294, 10223])).
% 13.70/9.47 tff(10231,plain,
% 13.70/9.47 (xuntil6(s131)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10230, 10219])).
% 13.70/9.47 tff(10232,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10233,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10234,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10233, 10232])).
% 13.70/9.47 tff(10235,plain,
% 13.70/9.47 ((~xuntil6(s131)) | until5(s132)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10234, 9776, 312])).
% 13.70/9.47 tff(10236,plain,
% 13.70/9.47 (until5(s132)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10235, 10231])).
% 13.70/9.47 tff(10237,plain,
% 13.70/9.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10238,plain,
% 13.70/9.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10239,plain,
% 13.70/9.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10238, 10237])).
% 13.70/9.47 tff(10240,plain,
% 13.70/9.47 (~node4(s132)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10239, 36, 9773])).
% 13.70/9.47 tff(10241,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s132) | node4(s132) | (~until5(s132)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10242,plain,
% 13.70/9.47 ((node4(s132) | (~until5(s132)) | xuntil6(s132)) <=> (xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10243,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s132) | (~until5(s132)) | xuntil6(s132))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s132) | node4(s132) | (~until5(s132))))),
% 13.70/9.47 inference(monotonicity,[status(thm)],[10242])).
% 13.70/9.47 tff(10244,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s132) | (~until5(s132)) | xuntil6(s132))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 13.70/9.47 inference(transitivity,[status(thm)],[10243, 10241])).
% 13.70/9.47 tff(10245,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s132) | (~until5(s132)) | xuntil6(s132))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10246,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10245, 10244])).
% 13.70/9.47 tff(10247,plain,
% 13.70/9.47 (xuntil6(s132) | (~until5(s132))),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10246, 294, 10240])).
% 13.70/9.47 tff(10248,plain,
% 13.70/9.47 (xuntil6(s132)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10247, 10236])).
% 13.70/9.47 tff(10249,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10250,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10251,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 13.70/9.47 tff(10252,plain,
% 13.70/9.47 ((~xuntil6(s132)) | until5(s133)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10251, 9764, 312])).
% 13.70/9.47 tff(10253,plain,
% 13.70/9.47 (until5(s133)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10252, 10248])).
% 13.70/9.47 tff(10254,plain,
% 13.70/9.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s133) | (~node4(s133)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10255,plain,
% 13.70/9.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s133) | (~node4(s133)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10256,plain,
% 13.70/9.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10255, 10254])).
% 13.70/9.47 tff(10257,plain,
% 13.70/9.47 (~node4(s133)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10256, 36, 9761])).
% 13.70/9.47 tff(10258,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s133) | node4(s133) | (~until5(s133)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10259,plain,
% 13.70/9.47 ((node4(s133) | (~until5(s133)) | xuntil6(s133)) <=> (xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10260,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s133) | (~until5(s133)) | xuntil6(s133))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s133) | node4(s133) | (~until5(s133))))),
% 13.70/9.47 inference(monotonicity,[status(thm)],[10259])).
% 13.70/9.47 tff(10261,plain,
% 13.70/9.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s133) | (~until5(s133)) | xuntil6(s133))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 13.70/9.47 inference(transitivity,[status(thm)],[10260, 10258])).
% 13.70/9.47 tff(10262,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s133) | (~until5(s133)) | xuntil6(s133))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10263,plain,
% 13.70/9.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10262, 10261])).
% 13.70/9.47 tff(10264,plain,
% 13.70/9.47 (xuntil6(s133) | (~until5(s133))),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10263, 294, 10257])).
% 13.70/9.47 tff(10265,plain,
% 13.70/9.47 ($false),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10264, 10253, 9752])).
% 13.70/9.47 tff(10266,plain,(always3(s150) | (~until5(s116)) | xuntil6(s150)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.47 tff(10267,plain,
% 13.70/9.47 (always3(s150)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10266, 9302, 9303])).
% 13.70/9.47 tff(10268,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s150)) | (~m_main_v_state(s150, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s150)) | (~m_main_v_state(s150, c_busy)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10269,plain,
% 13.70/9.47 (((~m_main_v_state(s150, c_busy)) | (~always3(s150))) <=> ((~always3(s150)) | (~m_main_v_state(s150, c_busy)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10270,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s150, c_busy)) | (~always3(s150)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s150)) | (~m_main_v_state(s150, c_busy))))),
% 13.70/9.47 inference(monotonicity,[status(thm)],[10269])).
% 13.70/9.47 tff(10271,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s150, c_busy)) | (~always3(s150)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s150)) | (~m_main_v_state(s150, c_busy)))),
% 13.70/9.47 inference(transitivity,[status(thm)],[10270, 10268])).
% 13.70/9.47 tff(10272,plain,
% 13.70/9.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s150, c_busy)) | (~always3(s150)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10273,plain,
% 13.70/9.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s150)) | (~m_main_v_state(s150, c_busy))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10272, 10271])).
% 13.70/9.47 tff(10274,plain,
% 13.70/9.47 (~m_main_v_state(s150, c_busy)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10273, 85, 10267])).
% 13.70/9.47 tff(10275,assumption,(~m_main_v_state(s150, c_busy)), introduced(assumption)).
% 13.70/9.47 tff(10276,assumption,(node4(s149)), introduced(assumption)).
% 13.70/9.47 tff(10277,plain,
% 13.70/9.47 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s149) | (~node4(s149)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s149) | (~node4(s149)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10278,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s149) | (~node4(s149)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10279,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s149) | (~node4(s149))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 13.70/9.47 tff(10280,plain,
% 13.70/9.47 (m_main_v_request(s149)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10279, 21, 10276])).
% 13.70/9.47 tff(10281,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s149, s150)) | node2(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s149, s150)) | node2(s149, s150))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10282,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s149, s150)) | node2(s149, s150))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10283,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s149, s150)) | node2(s149, s150)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10282, 10281])).
% 13.70/9.47 tff(10284,plain,
% 13.70/9.47 (node2(s149, s150)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10283, 7, 9311])).
% 13.70/9.47 tff(10285,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10286,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10287,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10286, 10285])).
% 13.70/9.47 tff(10288,plain,
% 13.70/9.47 ((~m_main_v_state(s149, c_ready)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149))),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10287, 73, 10284])).
% 13.70/9.47 tff(10289,plain,
% 13.70/9.47 (~m_main_v_state(s149, c_ready)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10288, 10280, 10275])).
% 13.70/9.47 tff(10290,plain,
% 13.70/9.47 (always3(s149)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[9319, 36, 10276])).
% 13.70/9.47 tff(10291,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s149)) | (~m_main_v_state(s149, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s149)) | (~m_main_v_state(s149, c_busy)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10292,plain,
% 13.70/9.47 (((~m_main_v_state(s149, c_busy)) | (~always3(s149))) <=> ((~always3(s149)) | (~m_main_v_state(s149, c_busy)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10293,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s149, c_busy)) | (~always3(s149)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s149)) | (~m_main_v_state(s149, c_busy))))),
% 13.70/9.47 inference(monotonicity,[status(thm)],[10292])).
% 13.70/9.47 tff(10294,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s149, c_busy)) | (~always3(s149)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s149)) | (~m_main_v_state(s149, c_busy)))),
% 13.70/9.47 inference(transitivity,[status(thm)],[10293, 10291])).
% 13.70/9.47 tff(10295,plain,
% 13.70/9.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s149, c_busy)) | (~always3(s149)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10296,plain,
% 13.70/9.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s149)) | (~m_main_v_state(s149, c_busy))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10295, 10294])).
% 13.70/9.47 tff(10297,plain,
% 13.70/9.47 (~m_main_v_state(s149, c_busy)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10296, 85, 10290])).
% 13.70/9.47 tff(10298,plain,
% 13.70/9.47 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10299,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10300,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10299, 10298])).
% 13.70/9.47 tff(10301,plain,
% 13.70/9.47 ($false),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10300, 102, 10297, 10289])).
% 13.70/9.47 tff(10302,plain,((~node4(s149)) | m_main_v_state(s150, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.47 tff(10303,plain,
% 13.70/9.47 (~node4(s149)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10302, 10274])).
% 13.70/9.47 tff(10304,assumption,(until5(s149)), introduced(assumption)).
% 13.70/9.47 tff(10305,plain,
% 13.70/9.47 (xuntil6(s149) | node4(s149)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[9343, 294, 10304])).
% 13.70/9.47 tff(10306,plain,
% 13.70/9.47 (xuntil6(s149)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10305, 10303])).
% 13.70/9.47 tff(10307,plain,
% 13.70/9.47 (until5(s150)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[9336, 10306])).
% 13.70/9.47 tff(10308,assumption,(m_main_v_state(s150, c_ready)), introduced(assumption)).
% 13.70/9.47 tff(10309,assumption,(until5(s150)), introduced(assumption)).
% 13.70/9.47 tff(10310,plain,
% 13.70/9.47 (xuntil6(s150) | node4(s150)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[9330, 294, 10309])).
% 13.70/9.47 tff(10311,plain,
% 13.70/9.47 (node4(s150)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10310, 9302])).
% 13.70/9.47 tff(10312,plain,
% 13.70/9.47 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s150) | (~node4(s150)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s150) | (~node4(s150)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10313,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s150) | (~node4(s150)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10314,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s150) | (~node4(s150))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10313, 10312])).
% 13.70/9.47 tff(10315,plain,
% 13.70/9.47 (m_main_v_request(s150)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10314, 21, 10311])).
% 13.70/9.47 tff(10316,plain,
% 13.70/9.47 (succ(s150, s151) <=> succ(s150, s151)),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10317,axiom,(succ(s150, s151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound151')).
% 13.70/9.47 tff(10318,plain,
% 13.70/9.47 (succ(s150, s151)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10317, 10316])).
% 13.70/9.47 tff(10319,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10320,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10321,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10320, 10319])).
% 13.70/9.47 tff(10322,plain,
% 13.70/9.47 (trans(s150, s151)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10321, 10318, 52])).
% 13.70/9.47 tff(10323,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s150, s151)) | (~always3(s150)) | always3(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s150, s151)) | (~always3(s150)) | always3(s151))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10324,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s150, s151)) | (~always3(s150)) | always3(s151))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10325,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s150, s151)) | (~always3(s150)) | always3(s151)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10324, 10323])).
% 13.70/9.47 tff(10326,plain,
% 13.70/9.47 ((~always3(s150)) | always3(s151)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10325, 125, 10322])).
% 13.70/9.47 tff(10327,plain,
% 13.70/9.47 (always3(s151)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10326, 10267])).
% 13.70/9.47 tff(10328,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s151)) | (~m_main_v_state(s151, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s151)) | (~m_main_v_state(s151, c_busy)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10329,plain,
% 13.70/9.47 (((~m_main_v_state(s151, c_busy)) | (~always3(s151))) <=> ((~always3(s151)) | (~m_main_v_state(s151, c_busy)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10330,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s151, c_busy)) | (~always3(s151)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s151)) | (~m_main_v_state(s151, c_busy))))),
% 13.70/9.47 inference(monotonicity,[status(thm)],[10329])).
% 13.70/9.47 tff(10331,plain,
% 13.70/9.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s151, c_busy)) | (~always3(s151)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s151)) | (~m_main_v_state(s151, c_busy)))),
% 13.70/9.47 inference(transitivity,[status(thm)],[10330, 10328])).
% 13.70/9.47 tff(10332,plain,
% 13.70/9.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s151, c_busy)) | (~always3(s151)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10333,plain,
% 13.70/9.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s151)) | (~m_main_v_state(s151, c_busy))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10332, 10331])).
% 13.70/9.47 tff(10334,plain,
% 13.70/9.47 (~m_main_v_state(s151, c_busy)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10333, 85, 10327])).
% 13.70/9.47 tff(10335,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s150, s151)) | node2(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s150, s151)) | node2(s150, s151))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10336,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s150, s151)) | node2(s150, s151))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10337,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s150, s151)) | node2(s150, s151)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 13.70/9.47 tff(10338,plain,
% 13.70/9.47 (node2(s150, s151)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10337, 7, 10322])).
% 13.70/9.47 tff(10339,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10340,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10341,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10340, 10339])).
% 13.70/9.47 tff(10342,plain,
% 13.70/9.47 ((~m_main_v_state(s150, c_ready)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150))),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10341, 73, 10338])).
% 13.70/9.47 tff(10343,plain,
% 13.70/9.47 ($false),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10342, 10334, 10315, 10308])).
% 13.70/9.47 tff(10344,plain,(xuntil6(s150) | (~m_main_v_state(s150, c_ready)) | (~until5(s150)) | (~until5(s116))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.47 tff(10345,plain,
% 13.70/9.47 (~m_main_v_state(s150, c_ready)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10344, 10307, 9302, 9303])).
% 13.70/9.47 tff(10346,plain,
% 13.70/9.47 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10347,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10348,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10347, 10346])).
% 13.70/9.47 tff(10349,plain,
% 13.70/9.47 ($false),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10348, 102, 10274, 10345])).
% 13.70/9.47 tff(10350,plain,(xuntil6(s150) | (~until5(s116)) | (~until5(s149))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.47 tff(10351,plain,
% 13.70/9.47 (~until5(s149)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10350, 9303, 9302])).
% 13.70/9.47 tff(10352,plain,
% 13.70/9.47 (~xuntil6(s148)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[9351, 10351])).
% 13.70/9.47 tff(10353,assumption,(node4(s148)), introduced(assumption)).
% 13.70/9.47 tff(10354,plain,
% 13.70/9.47 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s148) | (~node4(s148)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s148) | (~node4(s148)))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10355,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s148) | (~node4(s148)))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10356,plain,
% 13.70/9.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s148) | (~node4(s148))),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10355, 10354])).
% 13.70/9.47 tff(10357,plain,
% 13.70/9.47 (m_main_v_request(s148)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10356, 21, 10353])).
% 13.70/9.47 tff(10358,plain,
% 13.70/9.47 (always3(s148)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[9364, 36, 10353])).
% 13.70/9.47 tff(10359,plain,
% 13.70/9.47 (always3(s149)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[9360, 10358])).
% 13.70/9.47 tff(10360,plain,
% 13.70/9.47 (~m_main_v_state(s149, c_busy)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10296, 85, 10359])).
% 13.70/9.47 tff(10361,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s148, s149)) | node2(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s148, s149)) | node2(s148, s149))),
% 13.70/9.47 inference(rewrite,[status(thm)],[])).
% 13.70/9.47 tff(10362,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s148, s149)) | node2(s148, s149))),
% 13.70/9.47 inference(quant_inst,[status(thm)],[])).
% 13.70/9.47 tff(10363,plain,
% 13.70/9.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s148, s149)) | node2(s148, s149)),
% 13.70/9.47 inference(modus_ponens,[status(thm)],[10362, 10361])).
% 13.70/9.47 tff(10364,plain,
% 13.70/9.47 (node2(s148, s149)),
% 13.70/9.47 inference(unit_resolution,[status(thm)],[10363, 7, 9356])).
% 13.70/9.47 tff(10365,plain,
% 13.70/9.47 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10366,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10367,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10366, 10365])).
% 13.70/9.48 tff(10368,plain,
% 13.70/9.48 ((~m_main_v_state(s148, c_ready)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10367, 73, 10364])).
% 13.70/9.48 tff(10369,plain,
% 13.70/9.48 (~m_main_v_state(s148, c_ready)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10368, 10360, 10357])).
% 13.70/9.48 tff(10370,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s148)) | (~m_main_v_state(s148, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s148)) | (~m_main_v_state(s148, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10371,plain,
% 13.70/9.48 (((~m_main_v_state(s148, c_busy)) | (~always3(s148))) <=> ((~always3(s148)) | (~m_main_v_state(s148, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10372,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s148, c_busy)) | (~always3(s148)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s148)) | (~m_main_v_state(s148, c_busy))))),
% 13.70/9.48 inference(monotonicity,[status(thm)],[10371])).
% 13.70/9.48 tff(10373,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s148, c_busy)) | (~always3(s148)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s148)) | (~m_main_v_state(s148, c_busy)))),
% 13.70/9.48 inference(transitivity,[status(thm)],[10372, 10370])).
% 13.70/9.48 tff(10374,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s148, c_busy)) | (~always3(s148)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10375,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s148)) | (~m_main_v_state(s148, c_busy))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 13.70/9.48 tff(10376,plain,
% 13.70/9.48 (~m_main_v_state(s148, c_busy)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10375, 85, 10358])).
% 13.70/9.48 tff(10377,plain,
% 13.70/9.48 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10378,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10379,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready)),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10378, 10377])).
% 13.70/9.48 tff(10380,plain,
% 13.70/9.48 ($false),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10379, 102, 10376, 10369])).
% 13.70/9.48 tff(10381,plain,(~node4(s148)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.48 tff(10382,plain,
% 13.70/9.48 (xuntil6(s148) | (~until5(s148))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9371, 294, 10381])).
% 13.70/9.48 tff(10383,plain,
% 13.70/9.48 (~until5(s148)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10382, 10352])).
% 13.70/9.48 tff(10384,plain,
% 13.70/9.48 (~xuntil6(s147)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9380, 10383])).
% 13.70/9.48 tff(10385,assumption,(~node4(s143)), introduced(assumption)).
% 13.70/9.48 tff(10386,assumption,(~node4(s141)), introduced(assumption)).
% 13.70/9.48 tff(10387,assumption,(~xuntil6(s117)), introduced(assumption)).
% 13.70/9.48 tff(10388,assumption,(~always3(s117)), introduced(assumption)).
% 13.70/9.48 tff(10389,plain,
% 13.70/9.48 (~always3(s116)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9968, 10388])).
% 13.70/9.48 tff(10390,plain,
% 13.70/9.48 (~always3(s115)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8896, 10389])).
% 13.70/9.48 tff(10391,plain,
% 13.70/9.48 (~always3(s114)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8806, 10390])).
% 13.70/9.48 tff(10392,plain,
% 13.70/9.48 (~always3(s113)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8739, 10391])).
% 13.70/9.48 tff(10393,plain,
% 13.70/9.48 (~always3(s112)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8701, 10392])).
% 13.70/9.48 tff(10394,plain,
% 13.70/9.48 (~always3(s111)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8639, 10393])).
% 13.70/9.48 tff(10395,plain,
% 13.70/9.48 (~always3(s110)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8342, 10394])).
% 13.70/9.48 tff(10396,plain,
% 13.70/9.48 (~always3(s109)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8183, 10395])).
% 13.70/9.48 tff(10397,plain,
% 13.70/9.48 (~always3(s108)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8019, 10396])).
% 13.70/9.48 tff(10398,plain,
% 13.70/9.48 (~always3(s107)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8064, 10397])).
% 13.70/9.48 tff(10399,plain,
% 13.70/9.48 (~always3(s106)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8076, 10398])).
% 13.70/9.48 tff(10400,plain,
% 13.70/9.48 (~always3(s105)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8092, 10399])).
% 13.70/9.48 tff(10401,plain,
% 13.70/9.48 (~always3(s104)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7969, 10400])).
% 13.70/9.48 tff(10402,plain,
% 13.70/9.48 (~always3(s103)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7454, 10401])).
% 13.70/9.48 tff(10403,plain,
% 13.70/9.48 (~node4(s116)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9972, 36, 10389])).
% 13.70/9.48 tff(10404,plain,
% 13.70/9.48 (~node4(s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9956, 36, 10388])).
% 13.70/9.48 tff(10405,plain,
% 13.70/9.48 (node4(s117) | (~until5(s117))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9992, 294, 10387])).
% 13.70/9.48 tff(10406,plain,
% 13.70/9.48 (~until5(s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10405, 10404])).
% 13.70/9.48 tff(10407,plain,
% 13.70/9.48 (~xuntil6(s116)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9985, 10406])).
% 13.70/9.48 tff(10408,plain,
% 13.70/9.48 (~until5(s116)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9979, 294, 10407, 10403])).
% 13.70/9.48 tff(10409,plain,
% 13.70/9.48 (~xuntil6(s115)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9170, 10408])).
% 13.70/9.48 tff(10410,plain,
% 13.70/9.48 (~until5(s104)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8884, 10409, 10390])).
% 13.70/9.48 tff(10411,plain,
% 13.70/9.48 (~xuntil6(s103)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7740, 10410])).
% 13.70/9.48 tff(10412,plain,
% 13.70/9.48 (~until5(s65)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7405, 10411, 10402])).
% 13.70/9.48 tff(10413,plain,
% 13.70/9.48 (~xuntil6(s64)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4786, 10412])).
% 13.70/9.48 tff(10414,plain,
% 13.70/9.48 (~always3(s102)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7088, 10402])).
% 13.70/9.48 tff(10415,plain,
% 13.70/9.48 (~always3(s101)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7133, 10414])).
% 13.70/9.48 tff(10416,plain,
% 13.70/9.48 (~always3(s100)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7162, 10415])).
% 13.70/9.48 tff(10417,plain,
% 13.70/9.48 (~always3(s99)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7191, 10416])).
% 13.70/9.48 tff(10418,plain,
% 13.70/9.48 (~always3(s98)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7220, 10417])).
% 13.70/9.48 tff(10419,plain,
% 13.70/9.48 (~always3(s97)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7016, 10418])).
% 13.70/9.48 tff(10420,plain,
% 13.70/9.48 (~always3(s96)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[6978, 10419])).
% 13.70/9.48 tff(10421,plain,
% 13.70/9.48 (~always3(s95)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[7252, 10420])).
% 13.70/9.48 tff(10422,plain,
% 13.70/9.48 (~always3(s94)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[6622, 10421])).
% 13.70/9.48 tff(10423,plain,
% 13.70/9.48 (~always3(s93)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[6572, 10422])).
% 13.70/9.48 tff(10424,plain,
% 13.70/9.48 (~always3(s92)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[6516, 10423])).
% 13.70/9.48 tff(10425,plain,
% 13.70/9.48 (~always3(s91)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[6312, 10424])).
% 13.70/9.48 tff(10426,plain,
% 13.70/9.48 (~always3(s90)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5700, 10425])).
% 13.70/9.48 tff(10427,plain,
% 13.70/9.48 (~always3(s89)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5712, 10426])).
% 13.70/9.48 tff(10428,plain,
% 13.70/9.48 (~always3(s88)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5724, 10427])).
% 13.70/9.48 tff(10429,plain,
% 13.70/9.48 (~always3(s87)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5736, 10428])).
% 13.70/9.48 tff(10430,plain,
% 13.70/9.48 (~always3(s86)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5748, 10429])).
% 13.70/9.48 tff(10431,plain,
% 13.70/9.48 (~always3(s85)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5760, 10430])).
% 13.70/9.48 tff(10432,plain,
% 13.70/9.48 (~always3(s84)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5772, 10431])).
% 13.70/9.48 tff(10433,plain,
% 13.70/9.48 (~always3(s83)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5784, 10432])).
% 13.70/9.48 tff(10434,plain,
% 13.70/9.48 (~always3(s82)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5796, 10433])).
% 13.70/9.48 tff(10435,plain,
% 13.70/9.48 (~always3(s81)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[6219, 10434])).
% 13.70/9.48 tff(10436,plain,
% 13.70/9.48 (~always3(s80)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5627, 10435])).
% 13.70/9.48 tff(10437,plain,
% 13.70/9.48 (~always3(s79)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5571, 10436])).
% 13.70/9.48 tff(10438,plain,
% 13.70/9.48 (~always3(s78)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5515, 10437])).
% 13.70/9.48 tff(10439,plain,
% 13.70/9.48 (~always3(s77)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5459, 10438])).
% 13.70/9.48 tff(10440,plain,
% 13.70/9.48 (~always3(s76)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5403, 10439])).
% 13.70/9.48 tff(10441,plain,
% 13.70/9.48 (~always3(s75)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5347, 10440])).
% 13.70/9.48 tff(10442,plain,
% 13.70/9.48 (~always3(s74)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5291, 10441])).
% 13.70/9.48 tff(10443,plain,
% 13.70/9.48 (~always3(s73)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5235, 10442])).
% 13.70/9.48 tff(10444,plain,
% 13.70/9.48 (~always3(s72)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5179, 10443])).
% 13.70/9.48 tff(10445,plain,
% 13.70/9.48 (~always3(s71)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5123, 10444])).
% 13.70/9.48 tff(10446,plain,
% 13.70/9.48 (~always3(s70)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5067, 10445])).
% 13.70/9.48 tff(10447,plain,
% 13.70/9.48 (~always3(s69)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[5011, 10446])).
% 13.70/9.48 tff(10448,plain,
% 13.70/9.48 (~always3(s68)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4955, 10447])).
% 13.70/9.48 tff(10449,plain,
% 13.70/9.48 (~always3(s67)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4899, 10448])).
% 13.70/9.48 tff(10450,plain,
% 13.70/9.48 (~always3(s66)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4835, 10449])).
% 13.70/9.48 tff(10451,plain,
% 13.70/9.48 (~always3(s65)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[129, 10450])).
% 13.70/9.48 tff(10452,plain,
% 13.70/9.48 (~always3(s64)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4721, 10451])).
% 13.70/9.48 tff(10453,plain,
% 13.70/9.48 (~node4(s64)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4536, 36, 10452])).
% 13.70/9.48 tff(10454,plain,
% 13.70/9.48 (xuntil6(s64) | (~until5(s64))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4543, 294, 10453])).
% 13.70/9.48 tff(10455,plain,
% 13.70/9.48 (~until5(s64)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10454, 10413])).
% 13.70/9.48 tff(10456,plain,
% 13.70/9.48 (~xuntil6(s63)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4549, 10455])).
% 13.70/9.48 tff(10457,plain,
% 13.70/9.48 (~always3(s63)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4528, 10452])).
% 13.70/9.48 tff(10458,plain,
% 13.70/9.48 (~node4(s63)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4532, 36, 10457])).
% 13.70/9.48 tff(10459,plain,
% 13.70/9.48 (xuntil6(s63) | (~until5(s63))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4556, 294, 10458])).
% 13.70/9.48 tff(10460,plain,
% 13.70/9.48 (~until5(s63)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10459, 10456])).
% 13.70/9.48 tff(10461,plain,
% 13.70/9.48 (~xuntil6(s62)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4514, 10460])).
% 13.70/9.48 tff(10462,plain,
% 13.70/9.48 (~always3(s62)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4065, 10457])).
% 13.70/9.48 tff(10463,plain,
% 13.70/9.48 (~node4(s62)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3937, 36, 10462])).
% 13.70/9.48 tff(10464,plain,
% 13.70/9.48 (xuntil6(s62) | (~until5(s62))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3944, 294, 10463])).
% 13.70/9.48 tff(10465,plain,
% 13.70/9.48 (~until5(s62)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10464, 10461])).
% 13.70/9.48 tff(10466,plain,
% 13.70/9.48 (~xuntil6(s61)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3950, 10465])).
% 13.70/9.48 tff(10467,plain,
% 13.70/9.48 (~always3(s61)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3929, 10462])).
% 13.70/9.48 tff(10468,plain,
% 13.70/9.48 (~node4(s61)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3933, 36, 10467])).
% 13.70/9.48 tff(10469,plain,
% 13.70/9.48 (xuntil6(s61) | (~until5(s61))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3957, 294, 10468])).
% 13.70/9.48 tff(10470,plain,
% 13.70/9.48 (~until5(s61)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10469, 10466])).
% 13.70/9.48 tff(10471,plain,
% 13.70/9.48 (~xuntil6(s60)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4015, 10470])).
% 13.70/9.48 tff(10472,plain,
% 13.70/9.48 (~always3(s60)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3969, 10467])).
% 13.70/9.48 tff(10473,plain,
% 13.70/9.48 (~node4(s60)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3973, 36, 10472])).
% 13.70/9.48 tff(10474,plain,
% 13.70/9.48 (xuntil6(s60) | (~until5(s60))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4010, 294, 10473])).
% 13.70/9.48 tff(10475,plain,
% 13.70/9.48 (~until5(s60)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10474, 10471])).
% 13.70/9.48 tff(10476,plain,
% 13.70/9.48 (~xuntil6(s59)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[4003, 10475])).
% 13.70/9.48 tff(10477,plain,
% 13.70/9.48 (~always3(s59)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3985, 10472])).
% 13.70/9.48 tff(10478,plain,
% 13.70/9.48 (~node4(s59)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3989, 36, 10477])).
% 13.70/9.48 tff(10479,plain,
% 13.70/9.48 (xuntil6(s59) | (~until5(s59))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3997, 294, 10478])).
% 13.70/9.48 tff(10480,plain,
% 13.70/9.48 (~until5(s59)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10479, 10476])).
% 13.70/9.48 tff(10481,plain,
% 13.70/9.48 (~xuntil6(s58)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3916, 10480])).
% 13.70/9.48 tff(10482,plain,
% 13.70/9.48 (~always3(s58)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3735, 10477])).
% 13.70/9.48 tff(10483,plain,
% 13.70/9.48 (~node4(s58)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3874, 36, 10482])).
% 13.70/9.48 tff(10484,plain,
% 13.70/9.48 (xuntil6(s58) | (~until5(s58))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3910, 294, 10483])).
% 13.70/9.48 tff(10485,plain,
% 13.70/9.48 (~until5(s58)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10484, 10481])).
% 13.70/9.48 tff(10486,plain,
% 13.70/9.48 (~xuntil6(s57)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3865, 10485])).
% 13.70/9.48 tff(10487,plain,
% 13.70/9.48 (~always3(s57)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3747, 10482])).
% 13.70/9.48 tff(10488,plain,
% 13.70/9.48 (~node4(s57)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3852, 36, 10487])).
% 13.70/9.48 tff(10489,plain,
% 13.70/9.48 (xuntil6(s57) | (~until5(s57))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3859, 294, 10488])).
% 13.70/9.48 tff(10490,plain,
% 13.70/9.48 (~until5(s57)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10489, 10486])).
% 13.70/9.48 tff(10491,plain,
% 13.70/9.48 (~xuntil6(s56)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3848, 10490])).
% 13.70/9.48 tff(10492,plain,
% 13.70/9.48 (~always3(s56)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3759, 10487])).
% 13.70/9.48 tff(10493,plain,
% 13.70/9.48 (~node4(s56)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3835, 36, 10492])).
% 13.70/9.48 tff(10494,plain,
% 13.70/9.48 (xuntil6(s56) | (~until5(s56))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3842, 294, 10493])).
% 13.70/9.48 tff(10495,plain,
% 13.70/9.48 (~until5(s56)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10494, 10491])).
% 13.70/9.48 tff(10496,plain,
% 13.70/9.48 (~xuntil6(s55)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3721, 10495])).
% 13.70/9.48 tff(10497,plain,
% 13.70/9.48 (~always3(s55)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3686, 10492])).
% 13.70/9.48 tff(10498,plain,
% 13.70/9.48 (~node4(s55)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3674, 36, 10497])).
% 13.70/9.48 tff(10499,plain,
% 13.70/9.48 (xuntil6(s55) | (~until5(s55))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3715, 294, 10498])).
% 13.70/9.48 tff(10500,plain,
% 13.70/9.48 (~until5(s55)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10499, 10496])).
% 13.70/9.48 tff(10501,plain,
% 13.70/9.48 (~xuntil6(s54)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3665, 10500])).
% 13.70/9.48 tff(10502,plain,
% 13.70/9.48 (~always3(s54)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3630, 10497])).
% 13.70/9.48 tff(10503,plain,
% 13.70/9.48 (~node4(s54)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3618, 36, 10502])).
% 13.70/9.48 tff(10504,plain,
% 13.70/9.48 (xuntil6(s54) | (~until5(s54))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3659, 294, 10503])).
% 13.70/9.48 tff(10505,plain,
% 13.70/9.48 (~until5(s54)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10504, 10501])).
% 13.70/9.48 tff(10506,plain,
% 13.70/9.48 (~xuntil6(s53)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3609, 10505])).
% 13.70/9.48 tff(10507,plain,
% 13.70/9.48 (~always3(s53)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3530, 10502])).
% 13.70/9.48 tff(10508,plain,
% 13.70/9.48 (~always3(s52)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3474, 10507])).
% 13.70/9.48 tff(10509,plain,
% 13.70/9.48 (~always3(s51)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3232, 10508])).
% 13.70/9.48 tff(10510,plain,
% 13.70/9.48 (~always3(s50)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3048, 10509])).
% 13.70/9.48 tff(10511,plain,
% 13.70/9.48 (~always3(s49)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3093, 10510])).
% 13.70/9.48 tff(10512,plain,
% 13.70/9.48 (~always3(s48)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3122, 10511])).
% 13.70/9.48 tff(10513,plain,
% 13.70/9.48 (~always3(s47)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3151, 10512])).
% 13.70/9.48 tff(10514,plain,
% 13.70/9.48 (~always3(s46)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3175, 10513])).
% 13.70/9.48 tff(10515,plain,
% 13.70/9.48 (~always3(s45)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3000, 10514])).
% 13.70/9.48 tff(10516,plain,
% 13.70/9.48 (~always3(s44)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2944, 10515])).
% 13.70/9.48 tff(10517,plain,
% 13.70/9.48 (~always3(s43)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2888, 10516])).
% 13.70/9.48 tff(10518,plain,
% 13.70/9.48 (~always3(s42)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2832, 10517])).
% 13.70/9.48 tff(10519,plain,
% 13.70/9.48 (~always3(s41)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2773, 10518])).
% 13.70/9.48 tff(10520,plain,
% 13.70/9.48 (~always3(s40)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2699, 10519])).
% 13.70/9.48 tff(10521,plain,
% 13.70/9.48 (~always3(s39)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2661, 10520])).
% 13.70/9.48 tff(10522,plain,
% 13.70/9.48 (~node4(s39)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2665, 36, 10521])).
% 13.70/9.48 tff(10523,plain,
% 13.70/9.48 (~always3(s38)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2599, 10521])).
% 13.70/9.48 tff(10524,plain,
% 13.70/9.48 (~node4(s38)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2587, 36, 10523])).
% 13.70/9.48 tff(10525,plain,
% 13.70/9.48 (~always3(s37)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1912, 10523])).
% 13.70/9.48 tff(10526,plain,
% 13.70/9.48 (~always3(s36)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1333, 10525])).
% 13.70/9.48 tff(10527,plain,
% 13.70/9.48 (~always3(s35)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1378, 10526])).
% 13.70/9.48 tff(10528,plain,
% 13.70/9.48 (~always3(s34)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1407, 10527])).
% 13.70/9.48 tff(10529,plain,
% 13.70/9.48 (~always3(s33)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1436, 10528])).
% 13.70/9.48 tff(10530,plain,
% 13.70/9.48 (~always3(s32)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[200, 10529])).
% 13.70/9.48 tff(10531,plain,
% 13.70/9.48 (~always3(s31)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1480, 10530])).
% 13.70/9.48 tff(10532,plain,
% 13.70/9.48 (~always3(s30)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[249, 10531])).
% 13.70/9.48 tff(10533,plain,
% 13.70/9.48 (~always3(s29)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1524, 10532])).
% 13.70/9.48 tff(10534,plain,
% 13.70/9.48 (~always3(s28)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[151, 10533])).
% 13.70/9.48 tff(10535,plain,
% 13.70/9.48 (~always3(s27)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1568, 10534])).
% 13.70/9.48 tff(10536,plain,
% 13.70/9.48 (~always3(s26)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1592, 10535])).
% 13.70/9.48 tff(10537,plain,
% 13.70/9.48 (~always3(s25)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1604, 10536])).
% 13.70/9.48 tff(10538,plain,
% 13.70/9.48 (~always3(s24)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1616, 10537])).
% 13.70/9.48 tff(10539,plain,
% 13.70/9.48 (~always3(s23)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1628, 10538])).
% 13.70/9.48 tff(10540,plain,
% 13.70/9.48 (~always3(s22)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1640, 10539])).
% 13.70/9.48 tff(10541,plain,
% 13.70/9.48 (~always3(s21)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1652, 10540])).
% 13.70/9.48 tff(10542,plain,
% 13.70/9.48 (~always3(s20)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1664, 10541])).
% 13.70/9.48 tff(10543,plain,
% 13.70/9.48 (~always3(s19)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1676, 10542])).
% 13.70/9.48 tff(10544,plain,
% 13.70/9.48 (~always3(s18)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1688, 10543])).
% 13.70/9.48 tff(10545,plain,
% 13.70/9.48 (~always3(s17)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1700, 10544])).
% 13.70/9.48 tff(10546,plain,
% 13.70/9.48 (~always3(s16)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1716, 10545])).
% 13.70/9.48 tff(10547,plain,
% 13.70/9.48 (~always3(s15)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1259, 10546])).
% 13.70/9.48 tff(10548,plain,
% 13.70/9.48 (xuntil6(s15)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1240, 10547])).
% 13.70/9.48 tff(10549,plain,
% 13.70/9.48 (until5(s16)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1318, 10548])).
% 13.70/9.48 tff(10550,plain,
% 13.70/9.48 (xuntil6(s37)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[1900, 10549, 10525])).
% 13.70/9.48 tff(10551,plain,
% 13.70/9.48 (until5(s38)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2578, 10550])).
% 13.70/9.48 tff(10552,plain,
% 13.70/9.48 (xuntil6(s38) | node4(s38)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2628, 294, 10551])).
% 13.70/9.48 tff(10553,plain,
% 13.70/9.48 (xuntil6(s38)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10552, 10524])).
% 13.70/9.48 tff(10554,plain,
% 13.70/9.48 (until5(s39)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2634, 10553])).
% 13.70/9.48 tff(10555,plain,
% 13.70/9.48 (xuntil6(s39)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2672, 294, 10554, 10522])).
% 13.70/9.48 tff(10556,plain,
% 13.70/9.48 (until5(s40)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2678, 10555])).
% 13.70/9.48 tff(10557,plain,
% 13.70/9.48 (~node4(s40)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2641, 36, 10520])).
% 13.70/9.48 tff(10558,plain,
% 13.70/9.48 (xuntil6(s40) | (~until5(s40))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2648, 294, 10557])).
% 13.70/9.48 tff(10559,plain,
% 13.70/9.48 (xuntil6(s40)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10558, 10556])).
% 13.70/9.48 tff(10560,plain,
% 13.70/9.48 (until5(s41)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2752, 10559])).
% 13.70/9.48 tff(10561,plain,
% 13.70/9.48 (~node4(s41)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2761, 36, 10519])).
% 13.70/9.48 tff(10562,plain,
% 13.70/9.48 (xuntil6(s41) | (~until5(s41))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2802, 294, 10561])).
% 13.70/9.48 tff(10563,plain,
% 13.70/9.48 (xuntil6(s41)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10562, 10560])).
% 13.70/9.48 tff(10564,plain,
% 13.70/9.48 (until5(s42)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2808, 10563])).
% 13.70/9.48 tff(10565,plain,
% 13.70/9.48 (~node4(s42)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2820, 36, 10518])).
% 13.70/9.48 tff(10566,plain,
% 13.70/9.48 (xuntil6(s42) | (~until5(s42))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2861, 294, 10565])).
% 13.70/9.48 tff(10567,plain,
% 13.70/9.48 (xuntil6(s42)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10566, 10564])).
% 13.70/9.48 tff(10568,plain,
% 13.70/9.48 (until5(s43)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2867, 10567])).
% 13.70/9.48 tff(10569,plain,
% 13.70/9.48 (~node4(s43)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2876, 36, 10517])).
% 13.70/9.48 tff(10570,plain,
% 13.70/9.48 (xuntil6(s43) | (~until5(s43))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2917, 294, 10569])).
% 13.70/9.48 tff(10571,plain,
% 13.70/9.48 (xuntil6(s43)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10570, 10568])).
% 13.70/9.48 tff(10572,plain,
% 13.70/9.48 (until5(s44)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2923, 10571])).
% 13.70/9.48 tff(10573,plain,
% 13.70/9.48 (~node4(s44)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2932, 36, 10516])).
% 13.70/9.48 tff(10574,plain,
% 13.70/9.48 (xuntil6(s44) | (~until5(s44))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2973, 294, 10573])).
% 13.70/9.48 tff(10575,plain,
% 13.70/9.48 (xuntil6(s44)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10574, 10572])).
% 13.70/9.48 tff(10576,plain,
% 13.70/9.48 (until5(s45)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2979, 10575])).
% 13.70/9.48 tff(10577,plain,
% 13.70/9.48 (~node4(s45)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[2988, 36, 10515])).
% 13.70/9.48 tff(10578,plain,
% 13.70/9.48 (xuntil6(s45) | (~until5(s45))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3029, 294, 10577])).
% 13.70/9.48 tff(10579,plain,
% 13.70/9.48 (xuntil6(s45)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10578, 10576])).
% 13.70/9.48 tff(10580,plain,
% 13.70/9.48 (until5(s46)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3035, 10579])).
% 13.70/9.48 tff(10581,plain,
% 13.70/9.48 (~node4(s46)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3198, 36, 10514])).
% 13.70/9.48 tff(10582,plain,
% 13.70/9.48 (xuntil6(s46) | (~until5(s46))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3205, 294, 10581])).
% 13.70/9.48 tff(10583,plain,
% 13.70/9.48 (xuntil6(s46)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10582, 10580])).
% 13.70/9.48 tff(10584,plain,
% 13.70/9.48 (until5(s47)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3211, 10583])).
% 13.70/9.48 tff(10585,plain,
% 13.70/9.48 (~node4(s47)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3155, 36, 10513])).
% 13.70/9.48 tff(10586,plain,
% 13.70/9.48 (xuntil6(s47) | (~until5(s47))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3162, 294, 10585])).
% 13.70/9.48 tff(10587,plain,
% 13.70/9.48 (xuntil6(s47)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10586, 10584])).
% 13.70/9.48 tff(10588,plain,
% 13.70/9.48 (until5(s48)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3142, 10587])).
% 13.70/9.48 tff(10589,plain,
% 13.70/9.48 (~node4(s48)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3126, 36, 10512])).
% 13.70/9.48 tff(10590,plain,
% 13.70/9.48 (xuntil6(s48) | (~until5(s48))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3133, 294, 10589])).
% 13.70/9.48 tff(10591,plain,
% 13.70/9.48 (xuntil6(s48)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10590, 10588])).
% 13.70/9.48 tff(10592,plain,
% 13.70/9.48 (until5(s49)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3113, 10591])).
% 13.70/9.48 tff(10593,plain,
% 13.70/9.48 (~node4(s49)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3097, 36, 10511])).
% 13.70/9.48 tff(10594,plain,
% 13.70/9.48 (xuntil6(s49) | (~until5(s49))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3104, 294, 10593])).
% 13.70/9.48 tff(10595,plain,
% 13.70/9.48 (xuntil6(s49)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10594, 10592])).
% 13.70/9.48 tff(10596,plain,
% 13.70/9.48 (until5(s50)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3084, 10595])).
% 13.70/9.48 tff(10597,plain,
% 13.70/9.48 (~node4(s50)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3052, 36, 10510])).
% 13.70/9.48 tff(10598,plain,
% 13.70/9.48 (xuntil6(s50) | (~until5(s50))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3076, 294, 10597])).
% 13.70/9.48 tff(10599,plain,
% 13.70/9.48 (xuntil6(s50)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10598, 10596])).
% 13.70/9.48 tff(10600,plain,
% 13.70/9.48 (until5(s51)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3069, 10599])).
% 13.70/9.48 tff(10601,plain,
% 13.70/9.48 (~node4(s51)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3056, 36, 10509])).
% 13.70/9.48 tff(10602,plain,
% 13.70/9.48 (xuntil6(s51) | (~until5(s51))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3063, 294, 10601])).
% 13.70/9.48 tff(10603,plain,
% 13.70/9.48 (xuntil6(s51)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10602, 10600])).
% 13.70/9.48 tff(10604,plain,
% 13.70/9.48 (until5(s52)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3453, 10603])).
% 13.70/9.48 tff(10605,plain,
% 13.70/9.48 (~node4(s52)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3462, 36, 10508])).
% 13.70/9.48 tff(10606,plain,
% 13.70/9.48 (xuntil6(s52) | (~until5(s52))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3503, 294, 10605])).
% 13.70/9.48 tff(10607,plain,
% 13.70/9.48 (xuntil6(s52)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10606, 10604])).
% 13.70/9.48 tff(10608,plain,
% 13.70/9.48 (until5(s53)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3509, 10607])).
% 13.70/9.48 tff(10609,plain,
% 13.70/9.48 (~node4(s53)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3518, 36, 10507])).
% 13.70/9.48 tff(10610,plain,
% 13.70/9.48 (xuntil6(s53) | (~until5(s53))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[3603, 294, 10609])).
% 13.70/9.48 tff(10611,plain,
% 13.70/9.48 ($false),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10610, 10608, 10506])).
% 13.70/9.48 tff(10612,plain,(always3(s117) | xuntil6(s117)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.48 tff(10613,plain,
% 13.70/9.48 (always3(s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10612, 10387])).
% 13.70/9.48 tff(10614,plain,
% 13.70/9.48 (always3(s118)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9952, 10613])).
% 13.70/9.48 tff(10615,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s118)) | (~m_main_v_state(s118, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s118)) | (~m_main_v_state(s118, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10616,plain,
% 13.70/9.48 (((~m_main_v_state(s118, c_busy)) | (~always3(s118))) <=> ((~always3(s118)) | (~m_main_v_state(s118, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10617,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s118, c_busy)) | (~always3(s118)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s118)) | (~m_main_v_state(s118, c_busy))))),
% 13.70/9.48 inference(monotonicity,[status(thm)],[10616])).
% 13.70/9.48 tff(10618,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s118, c_busy)) | (~always3(s118)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s118)) | (~m_main_v_state(s118, c_busy)))),
% 13.70/9.48 inference(transitivity,[status(thm)],[10617, 10615])).
% 13.70/9.48 tff(10619,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s118, c_busy)) | (~always3(s118)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10620,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s118)) | (~m_main_v_state(s118, c_busy))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10619, 10618])).
% 13.70/9.48 tff(10621,plain,
% 13.70/9.48 (~m_main_v_state(s118, c_busy)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10620, 85, 10614])).
% 13.70/9.48 tff(10622,assumption,(until5(s117)), introduced(assumption)).
% 13.70/9.48 tff(10623,plain,
% 13.70/9.48 (xuntil6(s117) | node4(s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9992, 294, 10622])).
% 13.70/9.48 tff(10624,plain,
% 13.70/9.48 (node4(s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10623, 10387])).
% 13.70/9.48 tff(10625,plain,
% 13.70/9.48 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s117) | (~node4(s117)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s117) | (~node4(s117)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10626,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s117) | (~node4(s117)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10627,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s117) | (~node4(s117))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 13.70/9.48 tff(10628,plain,
% 13.70/9.48 (m_main_v_request(s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10627, 21, 10624])).
% 13.70/9.48 tff(10629,plain,
% 13.70/9.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s117, s118)) | node2(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s117, s118)) | node2(s117, s118))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10630,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s117, s118)) | node2(s117, s118))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10631,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s117, s118)) | node2(s117, s118)),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10630, 10629])).
% 13.70/9.48 tff(10632,plain,
% 13.70/9.48 (node2(s117, s118)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10631, 7, 9948])).
% 13.70/9.48 tff(10633,plain,
% 13.70/9.48 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10634,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10635,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10634, 10633])).
% 13.70/9.48 tff(10636,plain,
% 13.70/9.48 ((~m_main_v_state(s117, c_ready)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10635, 73, 10632])).
% 13.70/9.48 tff(10637,plain,
% 13.70/9.48 (~m_main_v_state(s117, c_ready)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10636, 10628, 10621])).
% 13.70/9.48 tff(10638,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s117)) | (~m_main_v_state(s117, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s117)) | (~m_main_v_state(s117, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10639,plain,
% 13.70/9.48 (((~m_main_v_state(s117, c_busy)) | (~always3(s117))) <=> ((~always3(s117)) | (~m_main_v_state(s117, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10640,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s117, c_busy)) | (~always3(s117)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s117)) | (~m_main_v_state(s117, c_busy))))),
% 13.70/9.48 inference(monotonicity,[status(thm)],[10639])).
% 13.70/9.48 tff(10641,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s117, c_busy)) | (~always3(s117)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s117)) | (~m_main_v_state(s117, c_busy)))),
% 13.70/9.48 inference(transitivity,[status(thm)],[10640, 10638])).
% 13.70/9.48 tff(10642,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s117, c_busy)) | (~always3(s117)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10643,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s117)) | (~m_main_v_state(s117, c_busy))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10642, 10641])).
% 13.70/9.48 tff(10644,plain,
% 13.70/9.48 (~m_main_v_state(s117, c_busy)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10643, 85, 10613])).
% 13.70/9.48 tff(10645,plain,
% 13.70/9.48 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10646,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10647,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready)),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10646, 10645])).
% 13.70/9.48 tff(10648,plain,
% 13.70/9.48 ($false),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10647, 102, 10644, 10637])).
% 13.70/9.48 tff(10649,plain,(xuntil6(s117) | (~until5(s117))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.48 tff(10650,plain,
% 13.70/9.48 (~until5(s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10649, 10387])).
% 13.70/9.48 tff(10651,plain,
% 13.70/9.48 (~xuntil6(s116)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9985, 10650])).
% 13.70/9.48 tff(10652,plain,
% 13.70/9.48 (node4(s116)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9980, 10651])).
% 13.70/9.48 tff(10653,assumption,(~m_main_v_state(s117, c_busy)), introduced(assumption)).
% 13.70/9.48 tff(10654,assumption,(node4(s116)), introduced(assumption)).
% 13.70/9.48 tff(10655,plain,
% 13.70/9.48 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s116) | (~node4(s116)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s116) | (~node4(s116)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10656,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s116) | (~node4(s116)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10657,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s116) | (~node4(s116))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10656, 10655])).
% 13.70/9.48 tff(10658,plain,
% 13.70/9.48 (m_main_v_request(s116)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10657, 21, 10654])).
% 13.70/9.48 tff(10659,plain,
% 13.70/9.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s116, s117)) | node2(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s116, s117)) | node2(s116, s117))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10660,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s116, s117)) | node2(s116, s117))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10661,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s116, s117)) | node2(s116, s117)),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10660, 10659])).
% 13.70/9.48 tff(10662,plain,
% 13.70/9.48 (node2(s116, s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10661, 7, 9964])).
% 13.70/9.48 tff(10663,plain,
% 13.70/9.48 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10664,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10665,plain,
% 13.70/9.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10664, 10663])).
% 13.70/9.48 tff(10666,plain,
% 13.70/9.48 ((~m_main_v_state(s116, c_ready)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10665, 73, 10662])).
% 13.70/9.48 tff(10667,plain,
% 13.70/9.48 (~m_main_v_state(s116, c_ready)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10666, 10658, 10653])).
% 13.70/9.48 tff(10668,plain,
% 13.70/9.48 (always3(s116)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9972, 36, 10654])).
% 13.70/9.48 tff(10669,plain,
% 13.70/9.48 (~m_main_v_state(s116, c_busy)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[8903, 85, 10668])).
% 13.70/9.48 tff(10670,plain,
% 13.70/9.48 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10671,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10672,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready)),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10671, 10670])).
% 13.70/9.48 tff(10673,plain,
% 13.70/9.48 ($false),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10672, 102, 10669, 10667])).
% 13.70/9.48 tff(10674,plain,((~node4(s116)) | m_main_v_state(s117, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.48 tff(10675,plain,
% 13.70/9.48 (m_main_v_state(s117, c_busy)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10674, 10652])).
% 13.70/9.48 tff(10676,plain,
% 13.70/9.48 ($false),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10643, 85, 10613, 10675])).
% 13.70/9.48 tff(10677,plain,(xuntil6(s117) | (~until5(s116))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.48 tff(10678,plain,
% 13.70/9.48 (xuntil6(s117)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10677, 9303])).
% 13.70/9.48 tff(10679,plain,
% 13.70/9.48 (until5(s118)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9997, 10678])).
% 13.70/9.48 tff(10680,assumption,(until5(s118)), introduced(assumption)).
% 13.70/9.48 tff(10681,assumption,(~xuntil6(s120)), introduced(assumption)).
% 13.70/9.48 tff(10682,assumption,(~always3(s120)), introduced(assumption)).
% 13.70/9.48 tff(10683,plain,
% 13.70/9.48 (~always3(s119)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9928, 10682])).
% 13.70/9.48 tff(10684,plain,
% 13.70/9.48 (~node4(s119)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10018, 36, 10683])).
% 13.70/9.48 tff(10685,plain,
% 13.70/9.48 (~node4(s120)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10035, 36, 10682])).
% 13.70/9.48 tff(10686,plain,
% 13.70/9.48 (node4(s120) | (~until5(s120))),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10042, 294, 10681])).
% 13.70/9.48 tff(10687,plain,
% 13.70/9.48 (~until5(s120)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10686, 10685])).
% 13.70/9.48 tff(10688,plain,
% 13.70/9.48 (~xuntil6(s119)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10031, 10687])).
% 13.70/9.48 tff(10689,plain,
% 13.70/9.48 (~always3(s118)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9940, 10683])).
% 13.70/9.48 tff(10690,plain,
% 13.70/9.48 (~node4(s118)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10001, 36, 10689])).
% 13.70/9.48 tff(10691,plain,
% 13.70/9.48 (xuntil6(s118) | node4(s118)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10008, 294, 10680])).
% 13.70/9.48 tff(10692,plain,
% 13.70/9.48 (xuntil6(s118)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10691, 10690])).
% 13.70/9.48 tff(10693,plain,
% 13.70/9.48 (until5(s119)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10014, 10692])).
% 13.70/9.48 tff(10694,plain,
% 13.70/9.48 ($false),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10025, 294, 10693, 10688, 10684])).
% 13.70/9.48 tff(10695,plain,(always3(s120) | (~until5(s118)) | xuntil6(s120)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.48 tff(10696,plain,
% 13.70/9.48 (always3(s120)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10695, 10681, 10680])).
% 13.70/9.48 tff(10697,plain,
% 13.70/9.48 (always3(s121)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[9916, 10696])).
% 13.70/9.48 tff(10698,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s121)) | (~m_main_v_state(s121, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s121)) | (~m_main_v_state(s121, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10699,plain,
% 13.70/9.48 (((~m_main_v_state(s121, c_busy)) | (~always3(s121))) <=> ((~always3(s121)) | (~m_main_v_state(s121, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10700,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s121, c_busy)) | (~always3(s121)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s121)) | (~m_main_v_state(s121, c_busy))))),
% 13.70/9.48 inference(monotonicity,[status(thm)],[10699])).
% 13.70/9.48 tff(10701,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s121, c_busy)) | (~always3(s121)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s121)) | (~m_main_v_state(s121, c_busy)))),
% 13.70/9.48 inference(transitivity,[status(thm)],[10700, 10698])).
% 13.70/9.48 tff(10702,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s121, c_busy)) | (~always3(s121)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10703,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s121)) | (~m_main_v_state(s121, c_busy))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10702, 10701])).
% 13.70/9.48 tff(10704,plain,
% 13.70/9.48 (~m_main_v_state(s121, c_busy)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10703, 85, 10697])).
% 13.70/9.48 tff(10705,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s120)) | (~m_main_v_state(s120, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s120)) | (~m_main_v_state(s120, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10706,plain,
% 13.70/9.48 (((~m_main_v_state(s120, c_busy)) | (~always3(s120))) <=> ((~always3(s120)) | (~m_main_v_state(s120, c_busy)))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10707,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s120, c_busy)) | (~always3(s120)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s120)) | (~m_main_v_state(s120, c_busy))))),
% 13.70/9.48 inference(monotonicity,[status(thm)],[10706])).
% 13.70/9.48 tff(10708,plain,
% 13.70/9.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s120, c_busy)) | (~always3(s120)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s120)) | (~m_main_v_state(s120, c_busy)))),
% 13.70/9.48 inference(transitivity,[status(thm)],[10707, 10705])).
% 13.70/9.48 tff(10709,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s120, c_busy)) | (~always3(s120)))),
% 13.70/9.48 inference(quant_inst,[status(thm)],[])).
% 13.70/9.48 tff(10710,plain,
% 13.70/9.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s120)) | (~m_main_v_state(s120, c_busy))),
% 13.70/9.48 inference(modus_ponens,[status(thm)],[10709, 10708])).
% 13.70/9.48 tff(10711,plain,
% 13.70/9.48 (~m_main_v_state(s120, c_busy)),
% 13.70/9.48 inference(unit_resolution,[status(thm)],[10710, 85, 10696])).
% 13.70/9.48 tff(10712,plain,
% 13.70/9.48 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready))),
% 13.70/9.48 inference(rewrite,[status(thm)],[])).
% 13.70/9.48 tff(10713,plain,
% 13.70/9.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10714,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready)),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 13.70/9.49 tff(10715,plain,
% 13.70/9.49 (m_main_v_state(s120, c_ready)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10714, 102, 10711])).
% 13.70/9.49 tff(10716,plain,
% 13.70/9.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s120, s121)) | node2(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s120, s121)) | node2(s120, s121))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10717,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s120, s121)) | node2(s120, s121))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10718,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s120, s121)) | node2(s120, s121)),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 13.70/9.49 tff(10719,plain,
% 13.70/9.49 (node2(s120, s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10718, 7, 9912])).
% 13.70/9.49 tff(10720,plain,
% 13.70/9.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10721,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10722,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 13.70/9.49 tff(10723,plain,
% 13.70/9.49 ((~m_main_v_state(s120, c_ready)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10722, 73, 10719])).
% 13.70/9.49 tff(10724,plain,
% 13.70/9.49 (~m_main_v_request(s120)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10723, 10715, 10704])).
% 13.70/9.49 tff(10725,plain,
% 13.70/9.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s120) | (~node4(s120)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s120) | (~node4(s120)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10726,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s120) | (~node4(s120)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10727,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s120) | (~node4(s120))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10726, 10725])).
% 13.70/9.49 tff(10728,plain,
% 13.70/9.49 (~node4(s120)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10727, 21, 10724])).
% 13.70/9.49 tff(10729,plain,
% 13.70/9.49 (~until5(s120)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10686, 10728])).
% 13.70/9.49 tff(10730,plain,
% 13.70/9.49 (~xuntil6(s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10031, 10729])).
% 13.70/9.49 tff(10731,assumption,(~always3(s119)), introduced(assumption)).
% 13.70/9.49 tff(10732,plain,
% 13.70/9.49 (~always3(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9940, 10731])).
% 13.70/9.49 tff(10733,plain,
% 13.70/9.49 (~node4(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10001, 36, 10732])).
% 13.70/9.49 tff(10734,plain,
% 13.70/9.49 (xuntil6(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10691, 10733])).
% 13.70/9.49 tff(10735,plain,
% 13.70/9.49 (until5(s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10014, 10734])).
% 13.70/9.49 tff(10736,assumption,(~xuntil6(s119)), introduced(assumption)).
% 13.70/9.49 tff(10737,plain,
% 13.70/9.49 (node4(s119) | (~until5(s119))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10025, 294, 10736])).
% 13.70/9.49 tff(10738,plain,
% 13.70/9.49 (node4(s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10737, 10735])).
% 13.70/9.49 tff(10739,plain,
% 13.70/9.49 ($false),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10018, 36, 10731, 10738])).
% 13.70/9.49 tff(10740,plain,(always3(s119) | xuntil6(s119) | (~until5(s118))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.49 tff(10741,plain,
% 13.70/9.49 (always3(s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10740, 10730, 10680])).
% 13.70/9.49 tff(10742,plain,
% 13.70/9.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s119)) | (~m_main_v_state(s119, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s119)) | (~m_main_v_state(s119, c_busy)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10743,plain,
% 13.70/9.49 (((~m_main_v_state(s119, c_busy)) | (~always3(s119))) <=> ((~always3(s119)) | (~m_main_v_state(s119, c_busy)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10744,plain,
% 13.70/9.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s119, c_busy)) | (~always3(s119)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s119)) | (~m_main_v_state(s119, c_busy))))),
% 13.70/9.49 inference(monotonicity,[status(thm)],[10743])).
% 13.70/9.49 tff(10745,plain,
% 13.70/9.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s119, c_busy)) | (~always3(s119)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s119)) | (~m_main_v_state(s119, c_busy)))),
% 13.70/9.49 inference(transitivity,[status(thm)],[10744, 10742])).
% 13.70/9.49 tff(10746,plain,
% 13.70/9.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s119, c_busy)) | (~always3(s119)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10747,plain,
% 13.70/9.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s119)) | (~m_main_v_state(s119, c_busy))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10746, 10745])).
% 13.70/9.49 tff(10748,plain,
% 13.70/9.49 (~m_main_v_state(s119, c_busy)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10747, 85, 10741])).
% 13.70/9.49 tff(10749,plain,
% 13.70/9.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10750,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10751,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready)),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10750, 10749])).
% 13.70/9.49 tff(10752,plain,
% 13.70/9.49 (m_main_v_state(s119, c_ready)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10751, 102, 10748])).
% 13.70/9.49 tff(10753,plain,
% 13.70/9.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s119, s120)) | node2(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s119, s120)) | node2(s119, s120))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10754,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s119, s120)) | node2(s119, s120))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10755,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s119, s120)) | node2(s119, s120)),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10754, 10753])).
% 13.70/9.49 tff(10756,plain,
% 13.70/9.49 (node2(s119, s120)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10755, 7, 9924])).
% 13.70/9.49 tff(10757,plain,
% 13.70/9.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10758,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10759,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10758, 10757])).
% 13.70/9.49 tff(10760,plain,
% 13.70/9.49 ((~m_main_v_state(s119, c_ready)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10759, 73, 10756])).
% 13.70/9.49 tff(10761,plain,
% 13.70/9.49 (~m_main_v_request(s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10760, 10752, 10711])).
% 13.70/9.49 tff(10762,plain,
% 13.70/9.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s119) | (~node4(s119)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s119) | (~node4(s119)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10763,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s119) | (~node4(s119)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10764,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s119) | (~node4(s119))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 13.70/9.49 tff(10765,plain,
% 13.70/9.49 (~node4(s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10764, 21, 10761])).
% 13.70/9.49 tff(10766,plain,
% 13.70/9.49 (node4(s119) | (~until5(s119))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10025, 294, 10730])).
% 13.70/9.49 tff(10767,plain,
% 13.70/9.49 (~until5(s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10766, 10765])).
% 13.70/9.49 tff(10768,plain,
% 13.70/9.49 (~xuntil6(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10014, 10767])).
% 13.70/9.49 tff(10769,plain,
% 13.70/9.49 (node4(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10691, 10768])).
% 13.70/9.49 tff(10770,plain,
% 13.70/9.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s118) | (~node4(s118)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s118) | (~node4(s118)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10771,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s118) | (~node4(s118)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10772,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s118) | (~node4(s118))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 13.70/9.49 tff(10773,plain,
% 13.70/9.49 (m_main_v_request(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10772, 21, 10769])).
% 13.70/9.49 tff(10774,plain,
% 13.70/9.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s118, s119)) | node2(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s118, s119)) | node2(s118, s119))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10775,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s118, s119)) | node2(s118, s119))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10776,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s118, s119)) | node2(s118, s119)),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10775, 10774])).
% 13.70/9.49 tff(10777,plain,
% 13.70/9.49 (node2(s118, s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10776, 7, 9936])).
% 13.70/9.49 tff(10778,plain,
% 13.70/9.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10779,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10780,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10779, 10778])).
% 13.70/9.49 tff(10781,plain,
% 13.70/9.49 ((~m_main_v_state(s118, c_ready)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10780, 73, 10777])).
% 13.70/9.49 tff(10782,plain,
% 13.70/9.49 (~m_main_v_state(s118, c_ready)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10781, 10773, 10748])).
% 13.70/9.49 tff(10783,plain,
% 13.70/9.49 (always3(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10001, 36, 10769])).
% 13.70/9.49 tff(10784,plain,
% 13.70/9.49 (~m_main_v_state(s118, c_busy)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10620, 85, 10783])).
% 13.70/9.49 tff(10785,plain,
% 13.70/9.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(10786,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(10787,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready)),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 13.70/9.49 tff(10788,plain,
% 13.70/9.49 ($false),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10787, 102, 10784, 10782])).
% 13.70/9.49 tff(10789,plain,(xuntil6(s120) | (~until5(s118))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.49 tff(10790,plain,
% 13.70/9.49 (xuntil6(s120)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10789, 10679])).
% 13.70/9.49 tff(10791,plain,
% 13.70/9.49 (until5(s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10048, 10790])).
% 13.70/9.49 tff(10792,assumption,(~xuntil6(s121)), introduced(assumption)).
% 13.70/9.49 tff(10793,assumption,(~always3(s121)), introduced(assumption)).
% 13.70/9.49 tff(10794,plain,
% 13.70/9.49 (~always3(s120)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9916, 10793])).
% 13.70/9.49 tff(10795,plain,
% 13.70/9.49 (~always3(s119)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9928, 10794])).
% 13.70/9.49 tff(10796,plain,
% 13.70/9.49 (~always3(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9940, 10795])).
% 13.70/9.49 tff(10797,plain,
% 13.70/9.49 (~always3(s117)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9952, 10796])).
% 13.70/9.49 tff(10798,plain,
% 13.70/9.49 (~always3(s116)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9968, 10797])).
% 13.70/9.49 tff(10799,plain,
% 13.70/9.49 (~always3(s115)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8896, 10798])).
% 13.70/9.49 tff(10800,plain,
% 13.70/9.49 (~always3(s114)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8806, 10799])).
% 13.70/9.49 tff(10801,plain,
% 13.70/9.49 (~always3(s113)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8739, 10800])).
% 13.70/9.49 tff(10802,plain,
% 13.70/9.49 (~always3(s112)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8701, 10801])).
% 13.70/9.49 tff(10803,plain,
% 13.70/9.49 (~always3(s111)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8639, 10802])).
% 13.70/9.49 tff(10804,plain,
% 13.70/9.49 (~always3(s110)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8342, 10803])).
% 13.70/9.49 tff(10805,plain,
% 13.70/9.49 (~always3(s109)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8183, 10804])).
% 13.70/9.49 tff(10806,plain,
% 13.70/9.49 (~always3(s108)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8019, 10805])).
% 13.70/9.49 tff(10807,plain,
% 13.70/9.49 (~always3(s107)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8064, 10806])).
% 13.70/9.49 tff(10808,plain,
% 13.70/9.49 (~always3(s106)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8076, 10807])).
% 13.70/9.49 tff(10809,plain,
% 13.70/9.49 (~always3(s105)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8092, 10808])).
% 13.70/9.49 tff(10810,plain,
% 13.70/9.49 (~always3(s104)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7969, 10809])).
% 13.70/9.49 tff(10811,plain,
% 13.70/9.49 (~always3(s103)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7454, 10810])).
% 13.70/9.49 tff(10812,plain,
% 13.70/9.49 (~node4(s117)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9956, 36, 10797])).
% 13.70/9.49 tff(10813,plain,
% 13.70/9.49 (~node4(s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10052, 36, 10793])).
% 13.70/9.49 tff(10814,plain,
% 13.70/9.49 (node4(s121) | (~until5(s121))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10059, 294, 10792])).
% 13.70/9.49 tff(10815,plain,
% 13.70/9.49 (~until5(s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10814, 10813])).
% 13.70/9.49 tff(10816,plain,
% 13.70/9.49 (~xuntil6(s120)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10048, 10815])).
% 13.70/9.49 tff(10817,plain,
% 13.70/9.49 (~until5(s118)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10695, 10816, 10794])).
% 13.70/9.49 tff(10818,plain,
% 13.70/9.49 (~xuntil6(s117)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9997, 10817])).
% 13.70/9.49 tff(10819,plain,
% 13.70/9.49 (~until5(s117)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9992, 294, 10818, 10812])).
% 13.70/9.49 tff(10820,plain,
% 13.70/9.49 (~xuntil6(s116)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9985, 10819])).
% 13.70/9.49 tff(10821,plain,
% 13.70/9.49 (~node4(s116)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9972, 36, 10798])).
% 13.70/9.49 tff(10822,plain,
% 13.70/9.49 (xuntil6(s116) | (~until5(s116))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9979, 294, 10821])).
% 13.70/9.49 tff(10823,plain,
% 13.70/9.49 (~until5(s116)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10822, 10820])).
% 13.70/9.49 tff(10824,plain,
% 13.70/9.49 (~xuntil6(s115)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9170, 10823])).
% 13.70/9.49 tff(10825,plain,
% 13.70/9.49 (~until5(s104)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[8884, 10824, 10799])).
% 13.70/9.49 tff(10826,plain,
% 13.70/9.49 (~xuntil6(s103)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7740, 10825])).
% 13.70/9.49 tff(10827,plain,
% 13.70/9.49 (~until5(s65)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7405, 10826, 10811])).
% 13.70/9.49 tff(10828,plain,
% 13.70/9.49 (~xuntil6(s64)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4786, 10827])).
% 13.70/9.49 tff(10829,plain,
% 13.70/9.49 (~always3(s102)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7088, 10811])).
% 13.70/9.49 tff(10830,plain,
% 13.70/9.49 (~always3(s101)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7133, 10829])).
% 13.70/9.49 tff(10831,plain,
% 13.70/9.49 (~always3(s100)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7162, 10830])).
% 13.70/9.49 tff(10832,plain,
% 13.70/9.49 (~always3(s99)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7191, 10831])).
% 13.70/9.49 tff(10833,plain,
% 13.70/9.49 (~always3(s98)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7220, 10832])).
% 13.70/9.49 tff(10834,plain,
% 13.70/9.49 (~always3(s97)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7016, 10833])).
% 13.70/9.49 tff(10835,plain,
% 13.70/9.49 (~always3(s96)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[6978, 10834])).
% 13.70/9.49 tff(10836,plain,
% 13.70/9.49 (~always3(s95)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[7252, 10835])).
% 13.70/9.49 tff(10837,plain,
% 13.70/9.49 (~always3(s94)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[6622, 10836])).
% 13.70/9.49 tff(10838,plain,
% 13.70/9.49 (~always3(s93)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[6572, 10837])).
% 13.70/9.49 tff(10839,plain,
% 13.70/9.49 (~always3(s92)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[6516, 10838])).
% 13.70/9.49 tff(10840,plain,
% 13.70/9.49 (~always3(s91)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[6312, 10839])).
% 13.70/9.49 tff(10841,plain,
% 13.70/9.49 (~always3(s90)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5700, 10840])).
% 13.70/9.49 tff(10842,plain,
% 13.70/9.49 (~always3(s89)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5712, 10841])).
% 13.70/9.49 tff(10843,plain,
% 13.70/9.49 (~always3(s88)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5724, 10842])).
% 13.70/9.49 tff(10844,plain,
% 13.70/9.49 (~always3(s87)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5736, 10843])).
% 13.70/9.49 tff(10845,plain,
% 13.70/9.49 (~always3(s86)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5748, 10844])).
% 13.70/9.49 tff(10846,plain,
% 13.70/9.49 (~always3(s85)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5760, 10845])).
% 13.70/9.49 tff(10847,plain,
% 13.70/9.49 (~always3(s84)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5772, 10846])).
% 13.70/9.49 tff(10848,plain,
% 13.70/9.49 (~always3(s83)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5784, 10847])).
% 13.70/9.49 tff(10849,plain,
% 13.70/9.49 (~always3(s82)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5796, 10848])).
% 13.70/9.49 tff(10850,plain,
% 13.70/9.49 (~always3(s81)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[6219, 10849])).
% 13.70/9.49 tff(10851,plain,
% 13.70/9.49 (~always3(s80)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5627, 10850])).
% 13.70/9.49 tff(10852,plain,
% 13.70/9.49 (~always3(s79)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5571, 10851])).
% 13.70/9.49 tff(10853,plain,
% 13.70/9.49 (~always3(s78)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5515, 10852])).
% 13.70/9.49 tff(10854,plain,
% 13.70/9.49 (~always3(s77)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5459, 10853])).
% 13.70/9.49 tff(10855,plain,
% 13.70/9.49 (~always3(s76)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5403, 10854])).
% 13.70/9.49 tff(10856,plain,
% 13.70/9.49 (~always3(s75)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5347, 10855])).
% 13.70/9.49 tff(10857,plain,
% 13.70/9.49 (~always3(s74)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5291, 10856])).
% 13.70/9.49 tff(10858,plain,
% 13.70/9.49 (~always3(s73)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5235, 10857])).
% 13.70/9.49 tff(10859,plain,
% 13.70/9.49 (~always3(s72)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5179, 10858])).
% 13.70/9.49 tff(10860,plain,
% 13.70/9.49 (~always3(s71)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5123, 10859])).
% 13.70/9.49 tff(10861,plain,
% 13.70/9.49 (~always3(s70)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5067, 10860])).
% 13.70/9.49 tff(10862,plain,
% 13.70/9.49 (~always3(s69)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[5011, 10861])).
% 13.70/9.49 tff(10863,plain,
% 13.70/9.49 (~always3(s68)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4955, 10862])).
% 13.70/9.49 tff(10864,plain,
% 13.70/9.49 (~always3(s67)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4899, 10863])).
% 13.70/9.49 tff(10865,plain,
% 13.70/9.49 (~always3(s66)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4835, 10864])).
% 13.70/9.49 tff(10866,plain,
% 13.70/9.49 (~always3(s65)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[129, 10865])).
% 13.70/9.49 tff(10867,plain,
% 13.70/9.49 (~always3(s64)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4721, 10866])).
% 13.70/9.49 tff(10868,plain,
% 13.70/9.49 (~node4(s64)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4536, 36, 10867])).
% 13.70/9.49 tff(10869,plain,
% 13.70/9.49 (xuntil6(s64) | (~until5(s64))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4543, 294, 10868])).
% 13.70/9.49 tff(10870,plain,
% 13.70/9.49 (~until5(s64)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10869, 10828])).
% 13.70/9.49 tff(10871,plain,
% 13.70/9.49 (~xuntil6(s63)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4549, 10870])).
% 13.70/9.49 tff(10872,plain,
% 13.70/9.49 (~always3(s63)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4528, 10867])).
% 13.70/9.49 tff(10873,plain,
% 13.70/9.49 (~node4(s63)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4532, 36, 10872])).
% 13.70/9.49 tff(10874,plain,
% 13.70/9.49 (xuntil6(s63) | (~until5(s63))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4556, 294, 10873])).
% 13.70/9.49 tff(10875,plain,
% 13.70/9.49 (~until5(s63)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10874, 10871])).
% 13.70/9.49 tff(10876,plain,
% 13.70/9.49 (~xuntil6(s62)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4514, 10875])).
% 13.70/9.49 tff(10877,plain,
% 13.70/9.49 (~always3(s62)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4065, 10872])).
% 13.70/9.49 tff(10878,plain,
% 13.70/9.49 (~node4(s62)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3937, 36, 10877])).
% 13.70/9.49 tff(10879,plain,
% 13.70/9.49 (xuntil6(s62) | (~until5(s62))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3944, 294, 10878])).
% 13.70/9.49 tff(10880,plain,
% 13.70/9.49 (~until5(s62)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10879, 10876])).
% 13.70/9.49 tff(10881,plain,
% 13.70/9.49 (~xuntil6(s61)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3950, 10880])).
% 13.70/9.49 tff(10882,plain,
% 13.70/9.49 (~always3(s61)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3929, 10877])).
% 13.70/9.49 tff(10883,plain,
% 13.70/9.49 (~node4(s61)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3933, 36, 10882])).
% 13.70/9.49 tff(10884,plain,
% 13.70/9.49 (xuntil6(s61) | (~until5(s61))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3957, 294, 10883])).
% 13.70/9.49 tff(10885,plain,
% 13.70/9.49 (~until5(s61)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10884, 10881])).
% 13.70/9.49 tff(10886,plain,
% 13.70/9.49 (~xuntil6(s60)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4015, 10885])).
% 13.70/9.49 tff(10887,plain,
% 13.70/9.49 (~always3(s60)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3969, 10882])).
% 13.70/9.49 tff(10888,plain,
% 13.70/9.49 (~node4(s60)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3973, 36, 10887])).
% 13.70/9.49 tff(10889,plain,
% 13.70/9.49 (xuntil6(s60) | (~until5(s60))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4010, 294, 10888])).
% 13.70/9.49 tff(10890,plain,
% 13.70/9.49 (~until5(s60)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10889, 10886])).
% 13.70/9.49 tff(10891,plain,
% 13.70/9.49 (~xuntil6(s59)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[4003, 10890])).
% 13.70/9.49 tff(10892,plain,
% 13.70/9.49 (~always3(s59)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3985, 10887])).
% 13.70/9.49 tff(10893,plain,
% 13.70/9.49 (~node4(s59)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3989, 36, 10892])).
% 13.70/9.49 tff(10894,plain,
% 13.70/9.49 (xuntil6(s59) | (~until5(s59))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3997, 294, 10893])).
% 13.70/9.49 tff(10895,plain,
% 13.70/9.49 (~until5(s59)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10894, 10891])).
% 13.70/9.49 tff(10896,plain,
% 13.70/9.49 (~xuntil6(s58)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3916, 10895])).
% 13.70/9.49 tff(10897,plain,
% 13.70/9.49 (~always3(s58)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3735, 10892])).
% 13.70/9.49 tff(10898,plain,
% 13.70/9.49 (~node4(s58)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3874, 36, 10897])).
% 13.70/9.49 tff(10899,plain,
% 13.70/9.49 (xuntil6(s58) | (~until5(s58))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3910, 294, 10898])).
% 13.70/9.49 tff(10900,plain,
% 13.70/9.49 (~until5(s58)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10899, 10896])).
% 13.70/9.49 tff(10901,plain,
% 13.70/9.49 (~xuntil6(s57)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3865, 10900])).
% 13.70/9.49 tff(10902,plain,
% 13.70/9.49 (~always3(s57)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3747, 10897])).
% 13.70/9.49 tff(10903,plain,
% 13.70/9.49 (~node4(s57)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3852, 36, 10902])).
% 13.70/9.49 tff(10904,plain,
% 13.70/9.49 (xuntil6(s57) | (~until5(s57))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3859, 294, 10903])).
% 13.70/9.49 tff(10905,plain,
% 13.70/9.49 (~until5(s57)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10904, 10901])).
% 13.70/9.49 tff(10906,plain,
% 13.70/9.49 (~xuntil6(s56)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3848, 10905])).
% 13.70/9.49 tff(10907,plain,
% 13.70/9.49 (~always3(s56)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3759, 10902])).
% 13.70/9.49 tff(10908,plain,
% 13.70/9.49 (~node4(s56)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3835, 36, 10907])).
% 13.70/9.49 tff(10909,plain,
% 13.70/9.49 (xuntil6(s56) | (~until5(s56))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3842, 294, 10908])).
% 13.70/9.49 tff(10910,plain,
% 13.70/9.49 (~until5(s56)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10909, 10906])).
% 13.70/9.49 tff(10911,plain,
% 13.70/9.49 (~xuntil6(s55)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3721, 10910])).
% 13.70/9.49 tff(10912,plain,
% 13.70/9.49 (~always3(s55)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3686, 10907])).
% 13.70/9.49 tff(10913,plain,
% 13.70/9.49 (~node4(s55)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3674, 36, 10912])).
% 13.70/9.49 tff(10914,plain,
% 13.70/9.49 (xuntil6(s55) | (~until5(s55))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3715, 294, 10913])).
% 13.70/9.49 tff(10915,plain,
% 13.70/9.49 (~until5(s55)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10914, 10911])).
% 13.70/9.49 tff(10916,plain,
% 13.70/9.49 (~xuntil6(s54)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3665, 10915])).
% 13.70/9.49 tff(10917,plain,
% 13.70/9.49 (~always3(s54)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3630, 10912])).
% 13.70/9.49 tff(10918,plain,
% 13.70/9.49 (~node4(s54)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3618, 36, 10917])).
% 13.70/9.49 tff(10919,plain,
% 13.70/9.49 (xuntil6(s54) | (~until5(s54))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3659, 294, 10918])).
% 13.70/9.49 tff(10920,plain,
% 13.70/9.49 (~until5(s54)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10919, 10916])).
% 13.70/9.49 tff(10921,plain,
% 13.70/9.49 (~always3(s53)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3530, 10917])).
% 13.70/9.49 tff(10922,plain,
% 13.70/9.49 (~always3(s52)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3474, 10921])).
% 13.70/9.49 tff(10923,plain,
% 13.70/9.49 (~always3(s51)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3232, 10922])).
% 13.70/9.49 tff(10924,plain,
% 13.70/9.49 (~always3(s50)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3048, 10923])).
% 13.70/9.49 tff(10925,plain,
% 13.70/9.49 (~always3(s49)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3093, 10924])).
% 13.70/9.49 tff(10926,plain,
% 13.70/9.49 (~always3(s48)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3122, 10925])).
% 13.70/9.49 tff(10927,plain,
% 13.70/9.49 (~always3(s47)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3151, 10926])).
% 13.70/9.49 tff(10928,plain,
% 13.70/9.49 (~always3(s46)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3175, 10927])).
% 13.70/9.49 tff(10929,plain,
% 13.70/9.49 (~always3(s45)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3000, 10928])).
% 13.70/9.49 tff(10930,plain,
% 13.70/9.49 (~always3(s44)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2944, 10929])).
% 13.70/9.49 tff(10931,plain,
% 13.70/9.49 (~always3(s43)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2888, 10930])).
% 13.70/9.49 tff(10932,plain,
% 13.70/9.49 (~always3(s42)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2832, 10931])).
% 13.70/9.49 tff(10933,plain,
% 13.70/9.49 (~always3(s41)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2773, 10932])).
% 13.70/9.49 tff(10934,plain,
% 13.70/9.49 (~always3(s40)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2699, 10933])).
% 13.70/9.49 tff(10935,plain,
% 13.70/9.49 (~always3(s39)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2661, 10934])).
% 13.70/9.49 tff(10936,plain,
% 13.70/9.49 (~node4(s39)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2665, 36, 10935])).
% 13.70/9.49 tff(10937,plain,
% 13.70/9.49 (~always3(s38)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2599, 10935])).
% 13.70/9.49 tff(10938,plain,
% 13.70/9.49 (~node4(s38)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2587, 36, 10937])).
% 13.70/9.49 tff(10939,plain,
% 13.70/9.49 (~always3(s37)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1912, 10937])).
% 13.70/9.49 tff(10940,plain,
% 13.70/9.49 (~always3(s36)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1333, 10939])).
% 13.70/9.49 tff(10941,plain,
% 13.70/9.49 (~always3(s35)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1378, 10940])).
% 13.70/9.49 tff(10942,plain,
% 13.70/9.49 (~always3(s34)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1407, 10941])).
% 13.70/9.49 tff(10943,plain,
% 13.70/9.49 (~always3(s33)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1436, 10942])).
% 13.70/9.49 tff(10944,plain,
% 13.70/9.49 (~always3(s32)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[200, 10943])).
% 13.70/9.49 tff(10945,plain,
% 13.70/9.49 (~always3(s31)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1480, 10944])).
% 13.70/9.49 tff(10946,plain,
% 13.70/9.49 (~always3(s30)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[249, 10945])).
% 13.70/9.49 tff(10947,plain,
% 13.70/9.49 (~always3(s29)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1524, 10946])).
% 13.70/9.49 tff(10948,plain,
% 13.70/9.49 (~always3(s28)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[151, 10947])).
% 13.70/9.49 tff(10949,plain,
% 13.70/9.49 (~always3(s27)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1568, 10948])).
% 13.70/9.49 tff(10950,plain,
% 13.70/9.49 (~always3(s26)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1592, 10949])).
% 13.70/9.49 tff(10951,plain,
% 13.70/9.49 (~always3(s25)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1604, 10950])).
% 13.70/9.49 tff(10952,plain,
% 13.70/9.49 (~always3(s24)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1616, 10951])).
% 13.70/9.49 tff(10953,plain,
% 13.70/9.49 (~always3(s23)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1628, 10952])).
% 13.70/9.49 tff(10954,plain,
% 13.70/9.49 (~always3(s22)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1640, 10953])).
% 13.70/9.49 tff(10955,plain,
% 13.70/9.49 (~always3(s21)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1652, 10954])).
% 13.70/9.49 tff(10956,plain,
% 13.70/9.49 (~always3(s20)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1664, 10955])).
% 13.70/9.49 tff(10957,plain,
% 13.70/9.49 (~always3(s19)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1676, 10956])).
% 13.70/9.49 tff(10958,plain,
% 13.70/9.49 (~always3(s18)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1688, 10957])).
% 13.70/9.49 tff(10959,plain,
% 13.70/9.49 (~always3(s17)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1700, 10958])).
% 13.70/9.49 tff(10960,plain,
% 13.70/9.49 (~always3(s16)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1716, 10959])).
% 13.70/9.49 tff(10961,plain,
% 13.70/9.49 (~always3(s15)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1259, 10960])).
% 13.70/9.49 tff(10962,plain,
% 13.70/9.49 (xuntil6(s15)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1240, 10961])).
% 13.70/9.49 tff(10963,plain,
% 13.70/9.49 (until5(s16)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1318, 10962])).
% 13.70/9.49 tff(10964,plain,
% 13.70/9.49 (xuntil6(s37)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[1900, 10963, 10939])).
% 13.70/9.49 tff(10965,plain,
% 13.70/9.49 (until5(s38)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2578, 10964])).
% 13.70/9.49 tff(10966,plain,
% 13.70/9.49 (xuntil6(s38) | node4(s38)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2628, 294, 10965])).
% 13.70/9.49 tff(10967,plain,
% 13.70/9.49 (xuntil6(s38)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10966, 10938])).
% 13.70/9.49 tff(10968,plain,
% 13.70/9.49 (until5(s39)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2634, 10967])).
% 13.70/9.49 tff(10969,plain,
% 13.70/9.49 (xuntil6(s39)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2672, 294, 10968, 10936])).
% 13.70/9.49 tff(10970,plain,
% 13.70/9.49 (until5(s40)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2678, 10969])).
% 13.70/9.49 tff(10971,plain,
% 13.70/9.49 (~node4(s40)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2641, 36, 10934])).
% 13.70/9.49 tff(10972,plain,
% 13.70/9.49 (xuntil6(s40) | (~until5(s40))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2648, 294, 10971])).
% 13.70/9.49 tff(10973,plain,
% 13.70/9.49 (xuntil6(s40)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10972, 10970])).
% 13.70/9.49 tff(10974,plain,
% 13.70/9.49 (until5(s41)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2752, 10973])).
% 13.70/9.49 tff(10975,plain,
% 13.70/9.49 (~node4(s41)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2761, 36, 10933])).
% 13.70/9.49 tff(10976,plain,
% 13.70/9.49 (xuntil6(s41) | (~until5(s41))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2802, 294, 10975])).
% 13.70/9.49 tff(10977,plain,
% 13.70/9.49 (xuntil6(s41)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10976, 10974])).
% 13.70/9.49 tff(10978,plain,
% 13.70/9.49 (until5(s42)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2808, 10977])).
% 13.70/9.49 tff(10979,plain,
% 13.70/9.49 (~node4(s42)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2820, 36, 10932])).
% 13.70/9.49 tff(10980,plain,
% 13.70/9.49 (xuntil6(s42) | (~until5(s42))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2861, 294, 10979])).
% 13.70/9.49 tff(10981,plain,
% 13.70/9.49 (xuntil6(s42)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10980, 10978])).
% 13.70/9.49 tff(10982,plain,
% 13.70/9.49 (until5(s43)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2867, 10981])).
% 13.70/9.49 tff(10983,plain,
% 13.70/9.49 (~node4(s43)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2876, 36, 10931])).
% 13.70/9.49 tff(10984,plain,
% 13.70/9.49 (xuntil6(s43) | (~until5(s43))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2917, 294, 10983])).
% 13.70/9.49 tff(10985,plain,
% 13.70/9.49 (xuntil6(s43)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10984, 10982])).
% 13.70/9.49 tff(10986,plain,
% 13.70/9.49 (until5(s44)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2923, 10985])).
% 13.70/9.49 tff(10987,plain,
% 13.70/9.49 (~node4(s44)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2932, 36, 10930])).
% 13.70/9.49 tff(10988,plain,
% 13.70/9.49 (xuntil6(s44) | (~until5(s44))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2973, 294, 10987])).
% 13.70/9.49 tff(10989,plain,
% 13.70/9.49 (xuntil6(s44)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10988, 10986])).
% 13.70/9.49 tff(10990,plain,
% 13.70/9.49 (until5(s45)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2979, 10989])).
% 13.70/9.49 tff(10991,plain,
% 13.70/9.49 (~node4(s45)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[2988, 36, 10929])).
% 13.70/9.49 tff(10992,plain,
% 13.70/9.49 (xuntil6(s45) | (~until5(s45))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3029, 294, 10991])).
% 13.70/9.49 tff(10993,plain,
% 13.70/9.49 (xuntil6(s45)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10992, 10990])).
% 13.70/9.49 tff(10994,plain,
% 13.70/9.49 (until5(s46)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3035, 10993])).
% 13.70/9.49 tff(10995,plain,
% 13.70/9.49 (~node4(s46)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3198, 36, 10928])).
% 13.70/9.49 tff(10996,plain,
% 13.70/9.49 (xuntil6(s46) | (~until5(s46))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3205, 294, 10995])).
% 13.70/9.49 tff(10997,plain,
% 13.70/9.49 (xuntil6(s46)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10996, 10994])).
% 13.70/9.49 tff(10998,plain,
% 13.70/9.49 (until5(s47)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3211, 10997])).
% 13.70/9.49 tff(10999,plain,
% 13.70/9.49 (~node4(s47)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3155, 36, 10927])).
% 13.70/9.49 tff(11000,plain,
% 13.70/9.49 (xuntil6(s47) | (~until5(s47))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3162, 294, 10999])).
% 13.70/9.49 tff(11001,plain,
% 13.70/9.49 (xuntil6(s47)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11000, 10998])).
% 13.70/9.49 tff(11002,plain,
% 13.70/9.49 (until5(s48)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3142, 11001])).
% 13.70/9.49 tff(11003,plain,
% 13.70/9.49 (~node4(s48)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3126, 36, 10926])).
% 13.70/9.49 tff(11004,plain,
% 13.70/9.49 (xuntil6(s48) | (~until5(s48))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3133, 294, 11003])).
% 13.70/9.49 tff(11005,plain,
% 13.70/9.49 (xuntil6(s48)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11004, 11002])).
% 13.70/9.49 tff(11006,plain,
% 13.70/9.49 (until5(s49)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3113, 11005])).
% 13.70/9.49 tff(11007,plain,
% 13.70/9.49 (~node4(s49)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3097, 36, 10925])).
% 13.70/9.49 tff(11008,plain,
% 13.70/9.49 (xuntil6(s49) | (~until5(s49))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3104, 294, 11007])).
% 13.70/9.49 tff(11009,plain,
% 13.70/9.49 (xuntil6(s49)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11008, 11006])).
% 13.70/9.49 tff(11010,plain,
% 13.70/9.49 (until5(s50)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3084, 11009])).
% 13.70/9.49 tff(11011,plain,
% 13.70/9.49 (~node4(s50)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3052, 36, 10924])).
% 13.70/9.49 tff(11012,plain,
% 13.70/9.49 (xuntil6(s50) | (~until5(s50))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3076, 294, 11011])).
% 13.70/9.49 tff(11013,plain,
% 13.70/9.49 (xuntil6(s50)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11012, 11010])).
% 13.70/9.49 tff(11014,plain,
% 13.70/9.49 (until5(s51)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3069, 11013])).
% 13.70/9.49 tff(11015,plain,
% 13.70/9.49 (~node4(s51)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3056, 36, 10923])).
% 13.70/9.49 tff(11016,plain,
% 13.70/9.49 (xuntil6(s51) | (~until5(s51))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3063, 294, 11015])).
% 13.70/9.49 tff(11017,plain,
% 13.70/9.49 (xuntil6(s51)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11016, 11014])).
% 13.70/9.49 tff(11018,plain,
% 13.70/9.49 (until5(s52)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3453, 11017])).
% 13.70/9.49 tff(11019,plain,
% 13.70/9.49 (~node4(s52)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3462, 36, 10922])).
% 13.70/9.49 tff(11020,plain,
% 13.70/9.49 (xuntil6(s52) | (~until5(s52))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3503, 294, 11019])).
% 13.70/9.49 tff(11021,plain,
% 13.70/9.49 (xuntil6(s52)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11020, 11018])).
% 13.70/9.49 tff(11022,plain,
% 13.70/9.49 (until5(s53)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3509, 11021])).
% 13.70/9.49 tff(11023,plain,
% 13.70/9.49 (~node4(s53)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3518, 36, 10921])).
% 13.70/9.49 tff(11024,plain,
% 13.70/9.49 (xuntil6(s53) | (~until5(s53))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3603, 294, 11023])).
% 13.70/9.49 tff(11025,plain,
% 13.70/9.49 (xuntil6(s53)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11024, 11022])).
% 13.70/9.49 tff(11026,plain,
% 13.70/9.49 ($false),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[3609, 11025, 10920])).
% 13.70/9.49 tff(11027,plain,(always3(s121) | xuntil6(s121)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.49 tff(11028,plain,
% 13.70/9.49 (always3(s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11027, 10792])).
% 13.70/9.49 tff(11029,plain,
% 13.70/9.49 (always3(s122)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9904, 11028])).
% 13.70/9.49 tff(11030,plain,
% 13.70/9.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s122)) | (~m_main_v_state(s122, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s122)) | (~m_main_v_state(s122, c_busy)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(11031,plain,
% 13.70/9.49 (((~m_main_v_state(s122, c_busy)) | (~always3(s122))) <=> ((~always3(s122)) | (~m_main_v_state(s122, c_busy)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(11032,plain,
% 13.70/9.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s122, c_busy)) | (~always3(s122)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s122)) | (~m_main_v_state(s122, c_busy))))),
% 13.70/9.49 inference(monotonicity,[status(thm)],[11031])).
% 13.70/9.49 tff(11033,plain,
% 13.70/9.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s122, c_busy)) | (~always3(s122)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s122)) | (~m_main_v_state(s122, c_busy)))),
% 13.70/9.49 inference(transitivity,[status(thm)],[11032, 11030])).
% 13.70/9.49 tff(11034,plain,
% 13.70/9.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s122, c_busy)) | (~always3(s122)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(11035,plain,
% 13.70/9.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s122)) | (~m_main_v_state(s122, c_busy))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[11034, 11033])).
% 13.70/9.49 tff(11036,plain,
% 13.70/9.49 (~m_main_v_state(s122, c_busy)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11035, 85, 11029])).
% 13.70/9.49 tff(11037,assumption,(until5(s121)), introduced(assumption)).
% 13.70/9.49 tff(11038,plain,
% 13.70/9.49 (xuntil6(s121) | node4(s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10059, 294, 11037])).
% 13.70/9.49 tff(11039,plain,
% 13.70/9.49 (node4(s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11038, 10792])).
% 13.70/9.49 tff(11040,plain,
% 13.70/9.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s121) | (~node4(s121)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s121) | (~node4(s121)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(11041,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s121) | (~node4(s121)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(11042,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s121) | (~node4(s121))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[11041, 11040])).
% 13.70/9.49 tff(11043,plain,
% 13.70/9.49 (m_main_v_request(s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11042, 21, 11039])).
% 13.70/9.49 tff(11044,plain,
% 13.70/9.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s121, s122)) | node2(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s121, s122)) | node2(s121, s122))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(11045,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s121, s122)) | node2(s121, s122))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(11046,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s121, s122)) | node2(s121, s122)),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[11045, 11044])).
% 13.70/9.49 tff(11047,plain,
% 13.70/9.49 (node2(s121, s122)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11046, 7, 9900])).
% 13.70/9.49 tff(11048,plain,
% 13.70/9.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(11049,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(11050,plain,
% 13.70/9.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[11049, 11048])).
% 13.70/9.49 tff(11051,plain,
% 13.70/9.49 ((~m_main_v_state(s121, c_ready)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121))),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11050, 73, 11047])).
% 13.70/9.49 tff(11052,plain,
% 13.70/9.49 (~m_main_v_state(s121, c_ready)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11051, 11043, 11036])).
% 13.70/9.49 tff(11053,plain,
% 13.70/9.49 (~m_main_v_state(s121, c_busy)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10703, 85, 11028])).
% 13.70/9.49 tff(11054,plain,
% 13.70/9.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(11055,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(11056,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready)),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 13.70/9.49 tff(11057,plain,
% 13.70/9.49 ($false),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11056, 102, 11053, 11052])).
% 13.70/9.49 tff(11058,plain,(xuntil6(s121) | (~until5(s121))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.49 tff(11059,plain,
% 13.70/9.49 (xuntil6(s121)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11058, 10791])).
% 13.70/9.49 tff(11060,plain,
% 13.70/9.49 (until5(s122)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10065, 11059])).
% 13.70/9.49 tff(11061,assumption,(until5(s122)), introduced(assumption)).
% 13.70/9.49 tff(11062,assumption,(node4(s122)), introduced(assumption)).
% 13.70/9.49 tff(11063,plain,
% 13.70/9.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s122) | (~node4(s122)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s122) | (~node4(s122)))),
% 13.70/9.49 inference(rewrite,[status(thm)],[])).
% 13.70/9.49 tff(11064,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s122) | (~node4(s122)))),
% 13.70/9.49 inference(quant_inst,[status(thm)],[])).
% 13.70/9.49 tff(11065,plain,
% 13.70/9.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s122) | (~node4(s122))),
% 13.70/9.49 inference(modus_ponens,[status(thm)],[11064, 11063])).
% 13.70/9.49 tff(11066,plain,
% 13.70/9.49 (m_main_v_request(s122)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[11065, 21, 11062])).
% 13.70/9.49 tff(11067,plain,
% 13.70/9.49 (always3(s122)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[10069, 36, 11062])).
% 13.70/9.49 tff(11068,plain,
% 13.70/9.49 (always3(s123)),
% 13.70/9.49 inference(unit_resolution,[status(thm)],[9892, 11067])).
% 13.70/9.49 tff(11069,plain,
% 13.70/9.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s123)) | (~m_main_v_state(s123, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s123)) | (~m_main_v_state(s123, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11070,plain,
% 13.70/9.50 (((~m_main_v_state(s123, c_busy)) | (~always3(s123))) <=> ((~always3(s123)) | (~m_main_v_state(s123, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11071,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s123, c_busy)) | (~always3(s123)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s123)) | (~m_main_v_state(s123, c_busy))))),
% 13.70/9.50 inference(monotonicity,[status(thm)],[11070])).
% 13.70/9.50 tff(11072,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s123, c_busy)) | (~always3(s123)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s123)) | (~m_main_v_state(s123, c_busy)))),
% 13.70/9.50 inference(transitivity,[status(thm)],[11071, 11069])).
% 13.70/9.50 tff(11073,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s123, c_busy)) | (~always3(s123)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11074,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s123)) | (~m_main_v_state(s123, c_busy))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11073, 11072])).
% 13.70/9.50 tff(11075,plain,
% 13.70/9.50 (~m_main_v_state(s123, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11074, 85, 11068])).
% 13.70/9.50 tff(11076,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s122, s123)) | node2(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s122, s123)) | node2(s122, s123))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11077,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s122, s123)) | node2(s122, s123))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11078,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s122, s123)) | node2(s122, s123)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11077, 11076])).
% 13.70/9.50 tff(11079,plain,
% 13.70/9.50 (node2(s122, s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11078, 7, 9888])).
% 13.70/9.50 tff(11080,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11081,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11082,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11081, 11080])).
% 13.70/9.50 tff(11083,plain,
% 13.70/9.50 ((~m_main_v_state(s122, c_ready)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11082, 73, 11079])).
% 13.70/9.50 tff(11084,plain,
% 13.70/9.50 (~m_main_v_state(s122, c_ready)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11083, 11075, 11066])).
% 13.70/9.50 tff(11085,plain,
% 13.70/9.50 (~m_main_v_state(s122, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11035, 85, 11067])).
% 13.70/9.50 tff(11086,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11087,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11088,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11087, 11086])).
% 13.70/9.50 tff(11089,plain,
% 13.70/9.50 ($false),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11088, 102, 11085, 11084])).
% 13.70/9.50 tff(11090,plain,(~node4(s122)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.50 tff(11091,plain,
% 13.70/9.50 (xuntil6(s122) | (~until5(s122))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10076, 294, 11090])).
% 13.70/9.50 tff(11092,plain,
% 13.70/9.50 (xuntil6(s122)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11091, 11061])).
% 13.70/9.50 tff(11093,plain,
% 13.70/9.50 (until5(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10082, 11092])).
% 13.70/9.50 tff(11094,assumption,(~xuntil6(s124)), introduced(assumption)).
% 13.70/9.50 tff(11095,assumption,(until5(s123)), introduced(assumption)).
% 13.70/9.50 tff(11096,assumption,(~always3(s124)), introduced(assumption)).
% 13.70/9.50 tff(11097,plain,
% 13.70/9.50 (~node4(s124)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10103, 36, 11096])).
% 13.70/9.50 tff(11098,plain,
% 13.70/9.50 (node4(s124) | (~until5(s124))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10110, 294, 11094])).
% 13.70/9.50 tff(11099,plain,
% 13.70/9.50 (~until5(s124)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11098, 11097])).
% 13.70/9.50 tff(11100,plain,
% 13.70/9.50 (~always3(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[9880, 11096])).
% 13.70/9.50 tff(11101,plain,
% 13.70/9.50 (~node4(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10086, 36, 11100])).
% 13.70/9.50 tff(11102,plain,
% 13.70/9.50 (xuntil6(s123) | node4(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10093, 294, 11095])).
% 13.70/9.50 tff(11103,plain,
% 13.70/9.50 (xuntil6(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11102, 11101])).
% 13.70/9.50 tff(11104,plain,
% 13.70/9.50 ($false),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10099, 11103, 11099])).
% 13.70/9.50 tff(11105,plain,(always3(s124) | (~until5(s123)) | xuntil6(s124)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.50 tff(11106,plain,
% 13.70/9.50 (always3(s124)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11105, 11095, 11094])).
% 13.70/9.50 tff(11107,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s124)) | (~m_main_v_state(s124, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s124)) | (~m_main_v_state(s124, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11108,plain,
% 13.70/9.50 (((~m_main_v_state(s124, c_busy)) | (~always3(s124))) <=> ((~always3(s124)) | (~m_main_v_state(s124, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11109,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s124, c_busy)) | (~always3(s124)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s124)) | (~m_main_v_state(s124, c_busy))))),
% 13.70/9.50 inference(monotonicity,[status(thm)],[11108])).
% 13.70/9.50 tff(11110,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s124, c_busy)) | (~always3(s124)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s124)) | (~m_main_v_state(s124, c_busy)))),
% 13.70/9.50 inference(transitivity,[status(thm)],[11109, 11107])).
% 13.70/9.50 tff(11111,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s124, c_busy)) | (~always3(s124)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11112,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s124)) | (~m_main_v_state(s124, c_busy))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11111, 11110])).
% 13.70/9.50 tff(11113,plain,
% 13.70/9.50 (~m_main_v_state(s124, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11112, 85, 11106])).
% 13.70/9.50 tff(11114,plain,
% 13.70/9.50 (always3(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[9868, 11106])).
% 13.70/9.50 tff(11115,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s125)) | (~m_main_v_state(s125, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s125)) | (~m_main_v_state(s125, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11116,plain,
% 13.70/9.50 (((~m_main_v_state(s125, c_busy)) | (~always3(s125))) <=> ((~always3(s125)) | (~m_main_v_state(s125, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11117,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s125, c_busy)) | (~always3(s125)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s125)) | (~m_main_v_state(s125, c_busy))))),
% 13.70/9.50 inference(monotonicity,[status(thm)],[11116])).
% 13.70/9.50 tff(11118,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s125, c_busy)) | (~always3(s125)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s125)) | (~m_main_v_state(s125, c_busy)))),
% 13.70/9.50 inference(transitivity,[status(thm)],[11117, 11115])).
% 13.70/9.50 tff(11119,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s125, c_busy)) | (~always3(s125)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11120,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s125)) | (~m_main_v_state(s125, c_busy))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11119, 11118])).
% 13.70/9.50 tff(11121,plain,
% 13.70/9.50 (~m_main_v_state(s125, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11120, 85, 11114])).
% 13.70/9.50 tff(11122,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11123,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11124,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 13.70/9.50 tff(11125,plain,
% 13.70/9.50 (m_main_v_state(s124, c_ready)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11124, 102, 11113])).
% 13.70/9.50 tff(11126,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s124, s125)) | node2(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s124, s125)) | node2(s124, s125))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11127,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s124, s125)) | node2(s124, s125))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11128,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s124, s125)) | node2(s124, s125)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11127, 11126])).
% 13.70/9.50 tff(11129,plain,
% 13.70/9.50 (node2(s124, s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11128, 7, 9864])).
% 13.70/9.50 tff(11130,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11131,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11132,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 13.70/9.50 tff(11133,plain,
% 13.70/9.50 ((~m_main_v_state(s124, c_ready)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11132, 73, 11129])).
% 13.70/9.50 tff(11134,plain,
% 13.70/9.50 (~m_main_v_request(s124)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11133, 11125, 11121])).
% 13.70/9.50 tff(11135,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s124) | (~node4(s124)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s124) | (~node4(s124)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11136,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s124) | (~node4(s124)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11137,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s124) | (~node4(s124))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11136, 11135])).
% 13.70/9.50 tff(11138,plain,
% 13.70/9.50 (~node4(s124)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11137, 21, 11134])).
% 13.70/9.50 tff(11139,plain,
% 13.70/9.50 (~until5(s124)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11098, 11138])).
% 13.70/9.50 tff(11140,plain,
% 13.70/9.50 (~xuntil6(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10099, 11139])).
% 13.70/9.50 tff(11141,plain,
% 13.70/9.50 (node4(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11102, 11140])).
% 13.70/9.50 tff(11142,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s123) | (~node4(s123)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s123) | (~node4(s123)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11143,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s123) | (~node4(s123)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11144,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s123) | (~node4(s123))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11143, 11142])).
% 13.70/9.50 tff(11145,plain,
% 13.70/9.50 (m_main_v_request(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11144, 21, 11141])).
% 13.70/9.50 tff(11146,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s123, s124)) | node2(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s123, s124)) | node2(s123, s124))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11147,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s123, s124)) | node2(s123, s124))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11148,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s123, s124)) | node2(s123, s124)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11147, 11146])).
% 13.70/9.50 tff(11149,plain,
% 13.70/9.50 (node2(s123, s124)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11148, 7, 9876])).
% 13.70/9.50 tff(11150,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11151,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11152,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11151, 11150])).
% 13.70/9.50 tff(11153,plain,
% 13.70/9.50 ((~m_main_v_state(s123, c_ready)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11152, 73, 11149])).
% 13.70/9.50 tff(11154,plain,
% 13.70/9.50 (~m_main_v_state(s123, c_ready)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11153, 11145, 11113])).
% 13.70/9.50 tff(11155,plain,
% 13.70/9.50 (always3(s123)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10086, 36, 11141])).
% 13.70/9.50 tff(11156,plain,
% 13.70/9.50 (~m_main_v_state(s123, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11074, 85, 11155])).
% 13.70/9.50 tff(11157,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11158,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11159,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 13.70/9.50 tff(11160,plain,
% 13.70/9.50 ($false),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11159, 102, 11156, 11154])).
% 13.70/9.50 tff(11161,plain,((~until5(s123)) | xuntil6(s124)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.50 tff(11162,plain,
% 13.70/9.50 (xuntil6(s124)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11161, 11093])).
% 13.70/9.50 tff(11163,plain,
% 13.70/9.50 (until5(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10116, 11162])).
% 13.70/9.50 tff(11164,assumption,(~xuntil6(s127)), introduced(assumption)).
% 13.70/9.50 tff(11165,assumption,(until5(s125)), introduced(assumption)).
% 13.70/9.50 tff(11166,assumption,(~always3(s127)), introduced(assumption)).
% 13.70/9.50 tff(11167,plain,
% 13.70/9.50 (~always3(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[9844, 11166])).
% 13.70/9.50 tff(11168,plain,
% 13.70/9.50 (~node4(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10137, 36, 11167])).
% 13.70/9.50 tff(11169,plain,
% 13.70/9.50 (~node4(s127)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10154, 36, 11166])).
% 13.70/9.50 tff(11170,plain,
% 13.70/9.50 (node4(s127) | (~until5(s127))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10161, 294, 11164])).
% 13.70/9.50 tff(11171,plain,
% 13.70/9.50 (~until5(s127)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11170, 11169])).
% 13.70/9.50 tff(11172,plain,
% 13.70/9.50 (~xuntil6(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10150, 11171])).
% 13.70/9.50 tff(11173,plain,
% 13.70/9.50 (~always3(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[9856, 11167])).
% 13.70/9.50 tff(11174,plain,
% 13.70/9.50 (~node4(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10120, 36, 11173])).
% 13.70/9.50 tff(11175,plain,
% 13.70/9.50 (xuntil6(s125) | node4(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10127, 294, 11165])).
% 13.70/9.50 tff(11176,plain,
% 13.70/9.50 (xuntil6(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11175, 11174])).
% 13.70/9.50 tff(11177,plain,
% 13.70/9.50 (until5(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10133, 11176])).
% 13.70/9.50 tff(11178,plain,
% 13.70/9.50 ($false),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10144, 294, 11177, 11172, 11168])).
% 13.70/9.50 tff(11179,plain,(always3(s127) | (~until5(s125)) | xuntil6(s127)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.50 tff(11180,plain,
% 13.70/9.50 (always3(s127)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11179, 11164, 11165])).
% 13.70/9.50 tff(11181,plain,
% 13.70/9.50 (always3(s128)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[9832, 11180])).
% 13.70/9.50 tff(11182,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s128)) | (~m_main_v_state(s128, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s128)) | (~m_main_v_state(s128, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11183,plain,
% 13.70/9.50 (((~m_main_v_state(s128, c_busy)) | (~always3(s128))) <=> ((~always3(s128)) | (~m_main_v_state(s128, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11184,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s128, c_busy)) | (~always3(s128)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s128)) | (~m_main_v_state(s128, c_busy))))),
% 13.70/9.50 inference(monotonicity,[status(thm)],[11183])).
% 13.70/9.50 tff(11185,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s128, c_busy)) | (~always3(s128)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s128)) | (~m_main_v_state(s128, c_busy)))),
% 13.70/9.50 inference(transitivity,[status(thm)],[11184, 11182])).
% 13.70/9.50 tff(11186,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s128, c_busy)) | (~always3(s128)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11187,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s128)) | (~m_main_v_state(s128, c_busy))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 13.70/9.50 tff(11188,plain,
% 13.70/9.50 (~m_main_v_state(s128, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11187, 85, 11181])).
% 13.70/9.50 tff(11189,assumption,(until5(s127)), introduced(assumption)).
% 13.70/9.50 tff(11190,plain,
% 13.70/9.50 (xuntil6(s127) | node4(s127)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10161, 294, 11189])).
% 13.70/9.50 tff(11191,plain,
% 13.70/9.50 (node4(s127)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11190, 11164])).
% 13.70/9.50 tff(11192,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s127) | (~node4(s127)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s127) | (~node4(s127)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11193,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s127) | (~node4(s127)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11194,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s127) | (~node4(s127))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11193, 11192])).
% 13.70/9.50 tff(11195,plain,
% 13.70/9.50 (m_main_v_request(s127)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11194, 21, 11191])).
% 13.70/9.50 tff(11196,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s127, s128)) | node2(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s127, s128)) | node2(s127, s128))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11197,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s127, s128)) | node2(s127, s128))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11198,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s127, s128)) | node2(s127, s128)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11197, 11196])).
% 13.70/9.50 tff(11199,plain,
% 13.70/9.50 (node2(s127, s128)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11198, 7, 9828])).
% 13.70/9.50 tff(11200,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11201,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11202,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11201, 11200])).
% 13.70/9.50 tff(11203,plain,
% 13.70/9.50 ((~m_main_v_state(s127, c_ready)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11202, 73, 11199])).
% 13.70/9.50 tff(11204,plain,
% 13.70/9.50 (~m_main_v_state(s127, c_ready)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11203, 11195, 11188])).
% 13.70/9.50 tff(11205,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s127)) | (~m_main_v_state(s127, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s127)) | (~m_main_v_state(s127, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11206,plain,
% 13.70/9.50 (((~m_main_v_state(s127, c_busy)) | (~always3(s127))) <=> ((~always3(s127)) | (~m_main_v_state(s127, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11207,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s127, c_busy)) | (~always3(s127)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s127)) | (~m_main_v_state(s127, c_busy))))),
% 13.70/9.50 inference(monotonicity,[status(thm)],[11206])).
% 13.70/9.50 tff(11208,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s127, c_busy)) | (~always3(s127)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s127)) | (~m_main_v_state(s127, c_busy)))),
% 13.70/9.50 inference(transitivity,[status(thm)],[11207, 11205])).
% 13.70/9.50 tff(11209,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s127, c_busy)) | (~always3(s127)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11210,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s127)) | (~m_main_v_state(s127, c_busy))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11209, 11208])).
% 13.70/9.50 tff(11211,plain,
% 13.70/9.50 (~m_main_v_state(s127, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11210, 85, 11180])).
% 13.70/9.50 tff(11212,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11213,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11214,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11213, 11212])).
% 13.70/9.50 tff(11215,plain,
% 13.70/9.50 ($false),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11214, 102, 11211, 11204])).
% 13.70/9.50 tff(11216,plain,(xuntil6(s127) | (~until5(s127)) | (~until5(s125))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.50 tff(11217,plain,
% 13.70/9.50 (~until5(s127)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11216, 11164, 11163])).
% 13.70/9.50 tff(11218,plain,
% 13.70/9.50 (~xuntil6(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10150, 11217])).
% 13.70/9.50 tff(11219,assumption,(node4(s125)), introduced(assumption)).
% 13.70/9.50 tff(11220,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s125) | (~node4(s125)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s125) | (~node4(s125)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11221,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s125) | (~node4(s125)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11222,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s125) | (~node4(s125))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11221, 11220])).
% 13.70/9.50 tff(11223,plain,
% 13.70/9.50 (m_main_v_request(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11222, 21, 11219])).
% 13.70/9.50 tff(11224,plain,
% 13.70/9.50 (always3(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10120, 36, 11219])).
% 13.70/9.50 tff(11225,plain,
% 13.70/9.50 (always3(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[9856, 11224])).
% 13.70/9.50 tff(11226,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s126)) | (~m_main_v_state(s126, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s126)) | (~m_main_v_state(s126, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11227,plain,
% 13.70/9.50 (((~m_main_v_state(s126, c_busy)) | (~always3(s126))) <=> ((~always3(s126)) | (~m_main_v_state(s126, c_busy)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11228,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s126, c_busy)) | (~always3(s126)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s126)) | (~m_main_v_state(s126, c_busy))))),
% 13.70/9.50 inference(monotonicity,[status(thm)],[11227])).
% 13.70/9.50 tff(11229,plain,
% 13.70/9.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s126, c_busy)) | (~always3(s126)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s126)) | (~m_main_v_state(s126, c_busy)))),
% 13.70/9.50 inference(transitivity,[status(thm)],[11228, 11226])).
% 13.70/9.50 tff(11230,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s126, c_busy)) | (~always3(s126)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11231,plain,
% 13.70/9.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s126)) | (~m_main_v_state(s126, c_busy))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11230, 11229])).
% 13.70/9.50 tff(11232,plain,
% 13.70/9.50 (~m_main_v_state(s126, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11231, 85, 11225])).
% 13.70/9.50 tff(11233,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s125, s126)) | node2(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s125, s126)) | node2(s125, s126))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11234,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s125, s126)) | node2(s125, s126))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11235,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s125, s126)) | node2(s125, s126)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 13.70/9.50 tff(11236,plain,
% 13.70/9.50 (node2(s125, s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11235, 7, 9852])).
% 13.70/9.50 tff(11237,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11238,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11239,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11238, 11237])).
% 13.70/9.50 tff(11240,plain,
% 13.70/9.50 ((~m_main_v_state(s125, c_ready)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11239, 73, 11236])).
% 13.70/9.50 tff(11241,plain,
% 13.70/9.50 (~m_main_v_state(s125, c_ready)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11240, 11232, 11223])).
% 13.70/9.50 tff(11242,plain,
% 13.70/9.50 (~m_main_v_state(s125, c_busy)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11120, 85, 11224])).
% 13.70/9.50 tff(11243,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11244,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11245,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11244, 11243])).
% 13.70/9.50 tff(11246,plain,
% 13.70/9.50 ($false),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11245, 102, 11242, 11241])).
% 13.70/9.50 tff(11247,plain,(~node4(s125)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.50 tff(11248,plain,
% 13.70/9.50 (xuntil6(s125) | (~until5(s125))),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10127, 294, 11247])).
% 13.70/9.50 tff(11249,plain,
% 13.70/9.50 (xuntil6(s125)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11248, 11163])).
% 13.70/9.50 tff(11250,plain,
% 13.70/9.50 (until5(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10133, 11249])).
% 13.70/9.50 tff(11251,plain,
% 13.70/9.50 (xuntil6(s126) | node4(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[10144, 294, 11250])).
% 13.70/9.50 tff(11252,plain,
% 13.70/9.50 (node4(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11251, 11218])).
% 13.70/9.50 tff(11253,assumption,(~m_main_v_state(s127, c_busy)), introduced(assumption)).
% 13.70/9.50 tff(11254,assumption,(node4(s126)), introduced(assumption)).
% 13.70/9.50 tff(11255,plain,
% 13.70/9.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s126) | (~node4(s126)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s126) | (~node4(s126)))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11256,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s126) | (~node4(s126)))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11257,plain,
% 13.70/9.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s126) | (~node4(s126))),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 13.70/9.50 tff(11258,plain,
% 13.70/9.50 (m_main_v_request(s126)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11257, 21, 11254])).
% 13.70/9.50 tff(11259,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s126, s127)) | node2(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s126, s127)) | node2(s126, s127))),
% 13.70/9.50 inference(rewrite,[status(thm)],[])).
% 13.70/9.50 tff(11260,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s126, s127)) | node2(s126, s127))),
% 13.70/9.50 inference(quant_inst,[status(thm)],[])).
% 13.70/9.50 tff(11261,plain,
% 13.70/9.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s126, s127)) | node2(s126, s127)),
% 13.70/9.50 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 13.70/9.50 tff(11262,plain,
% 13.70/9.50 (node2(s126, s127)),
% 13.70/9.50 inference(unit_resolution,[status(thm)],[11261, 7, 9840])).
% 13.70/9.50 tff(11263,plain,
% 13.70/9.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126)))),
% 13.70/9.51 inference(rewrite,[status(thm)],[])).
% 13.70/9.51 tff(11264,plain,
% 13.70/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126)))),
% 13.70/9.51 inference(quant_inst,[status(thm)],[])).
% 13.70/9.51 tff(11265,plain,
% 13.70/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126))),
% 13.70/9.51 inference(modus_ponens,[status(thm)],[11264, 11263])).
% 13.70/9.51 tff(11266,plain,
% 13.70/9.51 ((~m_main_v_state(s126, c_ready)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11265, 73, 11262])).
% 13.70/9.51 tff(11267,plain,
% 13.70/9.51 (~m_main_v_state(s126, c_ready)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11266, 11258, 11253])).
% 13.70/9.51 tff(11268,plain,
% 13.70/9.51 (always3(s126)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10137, 36, 11254])).
% 13.70/9.51 tff(11269,plain,
% 13.70/9.51 (~m_main_v_state(s126, c_busy)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11231, 85, 11268])).
% 13.70/9.51 tff(11270,plain,
% 13.70/9.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready))),
% 13.70/9.51 inference(rewrite,[status(thm)],[])).
% 13.70/9.51 tff(11271,plain,
% 13.70/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready))),
% 13.70/9.51 inference(quant_inst,[status(thm)],[])).
% 13.70/9.51 tff(11272,plain,
% 13.70/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready)),
% 13.70/9.51 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 13.70/9.51 tff(11273,plain,
% 13.70/9.51 ($false),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11272, 102, 11269, 11267])).
% 13.70/9.51 tff(11274,plain,((~node4(s126)) | m_main_v_state(s127, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.51 tff(11275,plain,
% 13.70/9.51 (m_main_v_state(s127, c_busy)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11274, 11252])).
% 13.70/9.51 tff(11276,plain,
% 13.70/9.51 (~always3(s124)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9868, 11173])).
% 13.70/9.51 tff(11277,plain,
% 13.70/9.51 (~always3(s123)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9880, 11276])).
% 13.70/9.51 tff(11278,plain,
% 13.70/9.51 (~node4(s123)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10086, 36, 11277])).
% 13.70/9.51 tff(11279,plain,
% 13.70/9.51 (~node4(s124)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10103, 36, 11276])).
% 13.70/9.51 tff(11280,plain,
% 13.70/9.51 (~until5(s125)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11179, 11166, 11164])).
% 13.70/9.51 tff(11281,plain,
% 13.70/9.51 (~xuntil6(s124)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10116, 11280])).
% 13.70/9.51 tff(11282,plain,
% 13.70/9.51 (~until5(s124)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10110, 294, 11281, 11279])).
% 13.70/9.51 tff(11283,plain,
% 13.70/9.51 (~xuntil6(s123)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10099, 11282])).
% 13.70/9.51 tff(11284,plain,
% 13.70/9.51 (~always3(s122)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9892, 11277])).
% 13.70/9.51 tff(11285,plain,
% 13.70/9.51 (~node4(s122)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10069, 36, 11284])).
% 13.70/9.51 tff(11286,plain,
% 13.70/9.51 (xuntil6(s122) | node4(s122)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10076, 294, 11061])).
% 13.70/9.51 tff(11287,plain,
% 13.70/9.51 (xuntil6(s122)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11286, 11285])).
% 13.70/9.51 tff(11288,plain,
% 13.70/9.51 (until5(s123)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10082, 11287])).
% 13.70/9.51 tff(11289,plain,
% 13.70/9.51 ($false),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10093, 294, 11288, 11283, 11278])).
% 13.70/9.51 tff(11290,plain,(always3(s127) | (~until5(s122)) | xuntil6(s127)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.51 tff(11291,plain,
% 13.70/9.51 (always3(s127)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11290, 11164, 11061])).
% 13.70/9.51 tff(11292,plain,
% 13.70/9.51 ($false),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11210, 85, 11291, 11275])).
% 13.70/9.51 tff(11293,plain,(xuntil6(s127) | (~until5(s122))), inference(lemma,lemma(discharge,[]))).
% 13.70/9.51 tff(11294,plain,
% 13.70/9.51 (xuntil6(s127)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11293, 11061])).
% 13.70/9.51 tff(11295,plain,
% 13.70/9.51 (until5(s128)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10167, 11294])).
% 13.70/9.51 tff(11296,assumption,(node4(s128)), introduced(assumption)).
% 13.70/9.51 tff(11297,plain,
% 13.70/9.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s128) | (~node4(s128)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s128) | (~node4(s128)))),
% 13.70/9.51 inference(rewrite,[status(thm)],[])).
% 13.70/9.51 tff(11298,plain,
% 13.70/9.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s128) | (~node4(s128)))),
% 13.70/9.51 inference(quant_inst,[status(thm)],[])).
% 13.70/9.51 tff(11299,plain,
% 13.70/9.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s128) | (~node4(s128))),
% 13.70/9.51 inference(modus_ponens,[status(thm)],[11298, 11297])).
% 13.70/9.51 tff(11300,plain,
% 13.70/9.51 (m_main_v_request(s128)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11299, 21, 11296])).
% 13.70/9.51 tff(11301,plain,
% 13.70/9.51 (always3(s128)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10171, 36, 11296])).
% 13.70/9.51 tff(11302,plain,
% 13.70/9.51 (always3(s129)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9820, 11301])).
% 13.70/9.51 tff(11303,plain,
% 13.70/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s129)) | (~m_main_v_state(s129, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s129)) | (~m_main_v_state(s129, c_busy)))),
% 13.70/9.51 inference(rewrite,[status(thm)],[])).
% 13.70/9.51 tff(11304,plain,
% 13.70/9.51 (((~m_main_v_state(s129, c_busy)) | (~always3(s129))) <=> ((~always3(s129)) | (~m_main_v_state(s129, c_busy)))),
% 13.70/9.51 inference(rewrite,[status(thm)],[])).
% 13.70/9.51 tff(11305,plain,
% 13.70/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s129, c_busy)) | (~always3(s129)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s129)) | (~m_main_v_state(s129, c_busy))))),
% 13.70/9.51 inference(monotonicity,[status(thm)],[11304])).
% 13.70/9.51 tff(11306,plain,
% 13.70/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s129, c_busy)) | (~always3(s129)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s129)) | (~m_main_v_state(s129, c_busy)))),
% 13.70/9.51 inference(transitivity,[status(thm)],[11305, 11303])).
% 13.70/9.51 tff(11307,plain,
% 13.70/9.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s129, c_busy)) | (~always3(s129)))),
% 13.70/9.51 inference(quant_inst,[status(thm)],[])).
% 13.70/9.51 tff(11308,plain,
% 13.70/9.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s129)) | (~m_main_v_state(s129, c_busy))),
% 13.70/9.51 inference(modus_ponens,[status(thm)],[11307, 11306])).
% 13.70/9.51 tff(11309,plain,
% 13.70/9.51 (~m_main_v_state(s129, c_busy)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11308, 85, 11302])).
% 13.70/9.51 tff(11310,plain,
% 13.70/9.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s128, s129)) | node2(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s128, s129)) | node2(s128, s129))),
% 13.70/9.51 inference(rewrite,[status(thm)],[])).
% 13.70/9.51 tff(11311,plain,
% 13.70/9.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s128, s129)) | node2(s128, s129))),
% 13.70/9.51 inference(quant_inst,[status(thm)],[])).
% 13.70/9.51 tff(11312,plain,
% 13.70/9.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s128, s129)) | node2(s128, s129)),
% 13.70/9.51 inference(modus_ponens,[status(thm)],[11311, 11310])).
% 13.70/9.51 tff(11313,plain,
% 13.70/9.51 (node2(s128, s129)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11312, 7, 9816])).
% 13.70/9.51 tff(11314,plain,
% 13.70/9.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128)))),
% 13.70/9.51 inference(rewrite,[status(thm)],[])).
% 13.70/9.51 tff(11315,plain,
% 13.70/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128)))),
% 13.70/9.51 inference(quant_inst,[status(thm)],[])).
% 13.70/9.51 tff(11316,plain,
% 13.70/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128))),
% 13.70/9.51 inference(modus_ponens,[status(thm)],[11315, 11314])).
% 13.70/9.51 tff(11317,plain,
% 13.70/9.51 ((~m_main_v_state(s128, c_ready)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11316, 73, 11313])).
% 13.70/9.51 tff(11318,plain,
% 13.70/9.51 (~m_main_v_state(s128, c_ready)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11317, 11309, 11300])).
% 13.70/9.51 tff(11319,plain,
% 13.70/9.51 (~m_main_v_state(s128, c_busy)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11187, 85, 11301])).
% 13.70/9.51 tff(11320,plain,
% 13.70/9.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready))),
% 13.70/9.51 inference(rewrite,[status(thm)],[])).
% 13.70/9.51 tff(11321,plain,
% 13.70/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready))),
% 13.70/9.51 inference(quant_inst,[status(thm)],[])).
% 13.70/9.51 tff(11322,plain,
% 13.70/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready)),
% 13.70/9.51 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 13.70/9.51 tff(11323,plain,
% 13.70/9.51 ($false),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11322, 102, 11319, 11318])).
% 13.70/9.51 tff(11324,plain,(~node4(s128)), inference(lemma,lemma(discharge,[]))).
% 13.70/9.51 tff(11325,plain,
% 13.70/9.51 (xuntil6(s128) | (~until5(s128))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10178, 294, 11324])).
% 13.70/9.51 tff(11326,plain,
% 13.70/9.51 (xuntil6(s128)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11325, 11295])).
% 13.70/9.51 tff(11327,plain,
% 13.70/9.51 (until5(s129)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10184, 11326])).
% 13.70/9.51 tff(11328,assumption,(until5(s129)), introduced(assumption)).
% 13.70/9.51 tff(11329,assumption,(~xuntil6(s131)), introduced(assumption)).
% 13.70/9.51 tff(11330,assumption,(~always3(s131)), introduced(assumption)).
% 13.70/9.51 tff(11331,plain,
% 13.70/9.51 (~always3(s130)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9796, 11330])).
% 13.70/9.51 tff(11332,plain,
% 13.70/9.51 (~node4(s130)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10205, 36, 11331])).
% 13.70/9.51 tff(11333,plain,
% 13.70/9.51 (~node4(s131)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10222, 36, 11330])).
% 13.70/9.51 tff(11334,plain,
% 13.70/9.51 (node4(s131) | (~until5(s131))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10229, 294, 11329])).
% 13.70/9.51 tff(11335,plain,
% 13.70/9.51 (~until5(s131)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11334, 11333])).
% 13.70/9.51 tff(11336,plain,
% 13.70/9.51 (~xuntil6(s130)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10218, 11335])).
% 13.70/9.51 tff(11337,plain,
% 13.70/9.51 (~until5(s130)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10212, 294, 11336, 11332])).
% 13.70/9.51 tff(11338,plain,
% 13.70/9.51 (~xuntil6(s129)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10201, 11337])).
% 13.70/9.51 tff(11339,plain,
% 13.70/9.51 (~always3(s129)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9808, 11331])).
% 13.70/9.51 tff(11340,plain,
% 13.70/9.51 (~node4(s129)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10188, 36, 11339])).
% 13.70/9.51 tff(11341,plain,
% 13.70/9.51 (xuntil6(s129) | (~until5(s129))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10195, 294, 11340])).
% 13.70/9.51 tff(11342,plain,
% 13.70/9.51 (~until5(s129)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11341, 11338])).
% 13.70/9.51 tff(11343,plain,
% 13.70/9.51 (~xuntil6(s128)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10184, 11342])).
% 13.70/9.51 tff(11344,plain,
% 13.70/9.51 (~always3(s128)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9820, 11339])).
% 13.70/9.51 tff(11345,plain,
% 13.70/9.51 (~node4(s128)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10171, 36, 11344])).
% 13.70/9.51 tff(11346,plain,
% 13.70/9.51 (xuntil6(s128) | (~until5(s128))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10178, 294, 11345])).
% 13.70/9.51 tff(11347,plain,
% 13.70/9.51 (~until5(s128)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11346, 11343])).
% 13.70/9.51 tff(11348,plain,
% 13.70/9.51 (~xuntil6(s127)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10167, 11347])).
% 13.70/9.51 tff(11349,plain,
% 13.70/9.51 (~always3(s127)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9832, 11344])).
% 13.70/9.51 tff(11350,plain,
% 13.70/9.51 (~node4(s127)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10154, 36, 11349])).
% 13.70/9.51 tff(11351,plain,
% 13.70/9.51 (xuntil6(s127) | (~until5(s127))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10161, 294, 11350])).
% 13.70/9.51 tff(11352,plain,
% 13.70/9.51 (~until5(s127)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11351, 11348])).
% 13.70/9.51 tff(11353,plain,
% 13.70/9.51 (~always3(s126)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9844, 11349])).
% 13.70/9.51 tff(11354,plain,
% 13.70/9.51 (~always3(s125)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9856, 11353])).
% 13.70/9.51 tff(11355,plain,
% 13.70/9.51 (~always3(s124)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9868, 11354])).
% 13.70/9.51 tff(11356,plain,
% 13.70/9.51 (~always3(s123)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9880, 11355])).
% 13.70/9.51 tff(11357,plain,
% 13.70/9.51 (~node4(s123)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10086, 36, 11356])).
% 13.70/9.51 tff(11358,plain,
% 13.70/9.51 (~always3(s122)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[9892, 11356])).
% 13.70/9.51 tff(11359,plain,
% 13.70/9.51 (~node4(s122)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10069, 36, 11358])).
% 13.70/9.51 tff(11360,plain,
% 13.70/9.51 (xuntil6(s122)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11286, 11359])).
% 13.70/9.51 tff(11361,plain,
% 13.70/9.51 (until5(s123)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10082, 11360])).
% 13.70/9.51 tff(11362,plain,
% 13.70/9.51 (xuntil6(s123)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10093, 294, 11361, 11357])).
% 13.70/9.51 tff(11363,plain,
% 13.70/9.51 (until5(s124)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10099, 11362])).
% 13.70/9.51 tff(11364,plain,
% 13.70/9.51 (~node4(s124)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10103, 36, 11355])).
% 13.70/9.51 tff(11365,plain,
% 13.70/9.51 (xuntil6(s124) | (~until5(s124))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10110, 294, 11364])).
% 13.70/9.51 tff(11366,plain,
% 13.70/9.51 (xuntil6(s124)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11365, 11363])).
% 13.70/9.51 tff(11367,plain,
% 13.70/9.51 (until5(s125)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10116, 11366])).
% 13.70/9.51 tff(11368,plain,
% 13.70/9.51 (~node4(s125)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10120, 36, 11354])).
% 13.70/9.51 tff(11369,plain,
% 13.70/9.51 (xuntil6(s125) | (~until5(s125))),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10127, 294, 11368])).
% 13.70/9.51 tff(11370,plain,
% 13.70/9.51 (xuntil6(s125)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[11369, 11367])).
% 13.70/9.51 tff(11371,plain,
% 13.70/9.51 (until5(s126)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10133, 11370])).
% 13.70/9.51 tff(11372,plain,
% 13.70/9.51 (~node4(s126)),
% 13.70/9.51 inference(unit_resolution,[status(thm)],[10137, 36, 11353])).
% 13.70/9.51 tff(11373,plain,
% 13.80/9.51 (xuntil6(s126) | (~until5(s126))),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10144, 294, 11372])).
% 13.80/9.51 tff(11374,plain,
% 13.80/9.51 (xuntil6(s126)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11373, 11371])).
% 13.80/9.51 tff(11375,plain,
% 13.80/9.51 ($false),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10150, 11374, 11352])).
% 13.80/9.51 tff(11376,plain,(always3(s131) | (~until5(s122)) | xuntil6(s131)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.51 tff(11377,plain,
% 13.80/9.51 (always3(s131)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11376, 11329, 11061])).
% 13.80/9.51 tff(11378,plain,
% 13.80/9.51 (always3(s132)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[9784, 11377])).
% 13.80/9.51 tff(11379,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s132)) | (~m_main_v_state(s132, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s132)) | (~m_main_v_state(s132, c_busy)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11380,plain,
% 13.80/9.51 (((~m_main_v_state(s132, c_busy)) | (~always3(s132))) <=> ((~always3(s132)) | (~m_main_v_state(s132, c_busy)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11381,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s132, c_busy)) | (~always3(s132)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s132)) | (~m_main_v_state(s132, c_busy))))),
% 13.80/9.51 inference(monotonicity,[status(thm)],[11380])).
% 13.80/9.51 tff(11382,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s132, c_busy)) | (~always3(s132)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s132)) | (~m_main_v_state(s132, c_busy)))),
% 13.80/9.51 inference(transitivity,[status(thm)],[11381, 11379])).
% 13.80/9.51 tff(11383,plain,
% 13.80/9.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s132, c_busy)) | (~always3(s132)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11384,plain,
% 13.80/9.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s132)) | (~m_main_v_state(s132, c_busy))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 13.80/9.51 tff(11385,plain,
% 13.80/9.51 (~m_main_v_state(s132, c_busy)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11384, 85, 11378])).
% 13.80/9.51 tff(11386,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s131)) | (~m_main_v_state(s131, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s131)) | (~m_main_v_state(s131, c_busy)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11387,plain,
% 13.80/9.51 (((~m_main_v_state(s131, c_busy)) | (~always3(s131))) <=> ((~always3(s131)) | (~m_main_v_state(s131, c_busy)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11388,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s131, c_busy)) | (~always3(s131)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s131)) | (~m_main_v_state(s131, c_busy))))),
% 13.80/9.51 inference(monotonicity,[status(thm)],[11387])).
% 13.80/9.51 tff(11389,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s131, c_busy)) | (~always3(s131)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s131)) | (~m_main_v_state(s131, c_busy)))),
% 13.80/9.51 inference(transitivity,[status(thm)],[11388, 11386])).
% 13.80/9.51 tff(11390,plain,
% 13.80/9.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s131, c_busy)) | (~always3(s131)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11391,plain,
% 13.80/9.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s131)) | (~m_main_v_state(s131, c_busy))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11390, 11389])).
% 13.80/9.51 tff(11392,plain,
% 13.80/9.51 (~m_main_v_state(s131, c_busy)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11391, 85, 11377])).
% 13.80/9.51 tff(11393,plain,
% 13.80/9.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11394,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11395,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready)),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11394, 11393])).
% 13.80/9.51 tff(11396,plain,
% 13.80/9.51 (m_main_v_state(s131, c_ready)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11395, 102, 11392])).
% 13.80/9.51 tff(11397,plain,
% 13.80/9.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s131, s132)) | node2(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s131, s132)) | node2(s131, s132))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11398,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s131, s132)) | node2(s131, s132))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11399,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s131, s132)) | node2(s131, s132)),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11398, 11397])).
% 13.80/9.51 tff(11400,plain,
% 13.80/9.51 (node2(s131, s132)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11399, 7, 9780])).
% 13.80/9.51 tff(11401,plain,
% 13.80/9.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11402,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11403,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11402, 11401])).
% 13.80/9.51 tff(11404,plain,
% 13.80/9.51 ((~m_main_v_state(s131, c_ready)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131))),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11403, 73, 11400])).
% 13.80/9.51 tff(11405,plain,
% 13.80/9.51 (~m_main_v_request(s131)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11404, 11396, 11385])).
% 13.80/9.51 tff(11406,plain,
% 13.80/9.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s131) | (~node4(s131)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s131) | (~node4(s131)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11407,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s131) | (~node4(s131)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11408,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s131) | (~node4(s131))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 13.80/9.51 tff(11409,plain,
% 13.80/9.51 (~node4(s131)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11408, 21, 11405])).
% 13.80/9.51 tff(11410,plain,
% 13.80/9.51 (~until5(s131)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11334, 11409])).
% 13.80/9.51 tff(11411,plain,
% 13.80/9.51 (~xuntil6(s130)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10218, 11410])).
% 13.80/9.51 tff(11412,assumption,(~always3(s130)), introduced(assumption)).
% 13.80/9.51 tff(11413,plain,
% 13.80/9.51 (~always3(s129)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[9808, 11412])).
% 13.80/9.51 tff(11414,plain,
% 13.80/9.51 (~node4(s129)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10188, 36, 11413])).
% 13.80/9.51 tff(11415,plain,
% 13.80/9.51 (xuntil6(s129) | node4(s129)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10195, 294, 11328])).
% 13.80/9.51 tff(11416,plain,
% 13.80/9.51 (xuntil6(s129)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11415, 11414])).
% 13.80/9.51 tff(11417,plain,
% 13.80/9.51 (until5(s130)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10201, 11416])).
% 13.80/9.51 tff(11418,assumption,(~xuntil6(s130)), introduced(assumption)).
% 13.80/9.51 tff(11419,plain,
% 13.80/9.51 (node4(s130) | (~until5(s130))),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10212, 294, 11418])).
% 13.80/9.51 tff(11420,plain,
% 13.80/9.51 (node4(s130)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11419, 11417])).
% 13.80/9.51 tff(11421,plain,
% 13.80/9.51 ($false),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10205, 36, 11412, 11420])).
% 13.80/9.51 tff(11422,plain,(always3(s130) | xuntil6(s130) | (~until5(s129))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.51 tff(11423,plain,
% 13.80/9.51 (always3(s130)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11422, 11411, 11328])).
% 13.80/9.51 tff(11424,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s130)) | (~m_main_v_state(s130, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s130)) | (~m_main_v_state(s130, c_busy)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11425,plain,
% 13.80/9.51 (((~m_main_v_state(s130, c_busy)) | (~always3(s130))) <=> ((~always3(s130)) | (~m_main_v_state(s130, c_busy)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11426,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s130, c_busy)) | (~always3(s130)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s130)) | (~m_main_v_state(s130, c_busy))))),
% 13.80/9.51 inference(monotonicity,[status(thm)],[11425])).
% 13.80/9.51 tff(11427,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s130, c_busy)) | (~always3(s130)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s130)) | (~m_main_v_state(s130, c_busy)))),
% 13.80/9.51 inference(transitivity,[status(thm)],[11426, 11424])).
% 13.80/9.51 tff(11428,plain,
% 13.80/9.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s130, c_busy)) | (~always3(s130)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11429,plain,
% 13.80/9.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s130)) | (~m_main_v_state(s130, c_busy))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 13.80/9.51 tff(11430,plain,
% 13.80/9.51 (~m_main_v_state(s130, c_busy)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11429, 85, 11423])).
% 13.80/9.51 tff(11431,plain,
% 13.80/9.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11432,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11433,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready)),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 13.80/9.51 tff(11434,plain,
% 13.80/9.51 (m_main_v_state(s130, c_ready)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11433, 102, 11430])).
% 13.80/9.51 tff(11435,plain,
% 13.80/9.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s130, s131)) | node2(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s130, s131)) | node2(s130, s131))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11436,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s130, s131)) | node2(s130, s131))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11437,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s130, s131)) | node2(s130, s131)),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 13.80/9.51 tff(11438,plain,
% 13.80/9.51 (node2(s130, s131)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11437, 7, 9792])).
% 13.80/9.51 tff(11439,plain,
% 13.80/9.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11440,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11441,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 13.80/9.51 tff(11442,plain,
% 13.80/9.51 ((~m_main_v_state(s130, c_ready)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130))),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11441, 73, 11438])).
% 13.80/9.51 tff(11443,plain,
% 13.80/9.51 (~m_main_v_request(s130)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11442, 11434, 11392])).
% 13.80/9.51 tff(11444,plain,
% 13.80/9.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s130) | (~node4(s130)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s130) | (~node4(s130)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11445,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s130) | (~node4(s130)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11446,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s130) | (~node4(s130))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11445, 11444])).
% 13.80/9.51 tff(11447,plain,
% 13.80/9.51 (~node4(s130)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11446, 21, 11443])).
% 13.80/9.51 tff(11448,plain,
% 13.80/9.51 (node4(s130) | (~until5(s130))),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10212, 294, 11411])).
% 13.80/9.51 tff(11449,plain,
% 13.80/9.51 (~until5(s130)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11448, 11447])).
% 13.80/9.51 tff(11450,plain,
% 13.80/9.51 (~xuntil6(s129)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10201, 11449])).
% 13.80/9.51 tff(11451,plain,
% 13.80/9.51 (node4(s129)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11415, 11450])).
% 13.80/9.51 tff(11452,plain,
% 13.80/9.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s129) | (~node4(s129)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s129) | (~node4(s129)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11453,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s129) | (~node4(s129)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11454,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s129) | (~node4(s129))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11453, 11452])).
% 13.80/9.51 tff(11455,plain,
% 13.80/9.51 (m_main_v_request(s129)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11454, 21, 11451])).
% 13.80/9.51 tff(11456,plain,
% 13.80/9.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s129, s130)) | node2(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s129, s130)) | node2(s129, s130))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11457,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s129, s130)) | node2(s129, s130))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11458,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s129, s130)) | node2(s129, s130)),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11457, 11456])).
% 13.80/9.51 tff(11459,plain,
% 13.80/9.51 (node2(s129, s130)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11458, 7, 9804])).
% 13.80/9.51 tff(11460,plain,
% 13.80/9.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11461,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129)))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11462,plain,
% 13.80/9.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129))),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11461, 11460])).
% 13.80/9.51 tff(11463,plain,
% 13.80/9.51 ((~m_main_v_state(s129, c_ready)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129))),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11462, 73, 11459])).
% 13.80/9.51 tff(11464,plain,
% 13.80/9.51 (~m_main_v_state(s129, c_ready)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11463, 11455, 11430])).
% 13.80/9.51 tff(11465,plain,
% 13.80/9.51 (always3(s129)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10188, 36, 11451])).
% 13.80/9.51 tff(11466,plain,
% 13.80/9.51 (~m_main_v_state(s129, c_busy)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11308, 85, 11465])).
% 13.80/9.51 tff(11467,plain,
% 13.80/9.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11468,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready))),
% 13.80/9.51 inference(quant_inst,[status(thm)],[])).
% 13.80/9.51 tff(11469,plain,
% 13.80/9.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready)),
% 13.80/9.51 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 13.80/9.51 tff(11470,plain,
% 13.80/9.51 ($false),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11469, 102, 11466, 11464])).
% 13.80/9.51 tff(11471,plain,(xuntil6(s131) | (~until5(s129)) | (~until5(s122))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.51 tff(11472,plain,
% 13.80/9.51 (xuntil6(s131)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11471, 11327, 11061])).
% 13.80/9.51 tff(11473,plain,
% 13.80/9.51 (until5(s132)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10235, 11472])).
% 13.80/9.51 tff(11474,assumption,(until5(s132)), introduced(assumption)).
% 13.80/9.51 tff(11475,assumption,(~xuntil6(s133)), introduced(assumption)).
% 13.80/9.51 tff(11476,assumption,(~always3(s133)), introduced(assumption)).
% 13.80/9.51 tff(11477,plain,
% 13.80/9.51 (~always3(s132)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[9772, 11476])).
% 13.80/9.51 tff(11478,plain,
% 13.80/9.51 (~node4(s132)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10239, 36, 11477])).
% 13.80/9.51 tff(11479,plain,
% 13.80/9.51 (xuntil6(s132) | node4(s132)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10246, 294, 11474])).
% 13.80/9.51 tff(11480,plain,
% 13.80/9.51 (xuntil6(s132)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11479, 11478])).
% 13.80/9.51 tff(11481,plain,
% 13.80/9.51 (until5(s133)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10252, 11480])).
% 13.80/9.51 tff(11482,plain,
% 13.80/9.51 (node4(s133) | (~until5(s133))),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10263, 294, 11475])).
% 13.80/9.51 tff(11483,plain,
% 13.80/9.51 (node4(s133)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11482, 11481])).
% 13.80/9.51 tff(11484,plain,
% 13.80/9.51 ($false),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[10256, 36, 11476, 11483])).
% 13.80/9.51 tff(11485,plain,(always3(s133) | xuntil6(s133) | (~until5(s132))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.51 tff(11486,plain,
% 13.80/9.51 (always3(s133)),
% 13.80/9.51 inference(unit_resolution,[status(thm)],[11485, 11474, 11475])).
% 13.80/9.51 tff(11487,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s133)) | (~m_main_v_state(s133, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s133)) | (~m_main_v_state(s133, c_busy)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11488,plain,
% 13.80/9.51 (((~m_main_v_state(s133, c_busy)) | (~always3(s133))) <=> ((~always3(s133)) | (~m_main_v_state(s133, c_busy)))),
% 13.80/9.51 inference(rewrite,[status(thm)],[])).
% 13.80/9.51 tff(11489,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s133, c_busy)) | (~always3(s133)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s133)) | (~m_main_v_state(s133, c_busy))))),
% 13.80/9.51 inference(monotonicity,[status(thm)],[11488])).
% 13.80/9.51 tff(11490,plain,
% 13.80/9.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s133, c_busy)) | (~always3(s133)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s133)) | (~m_main_v_state(s133, c_busy)))),
% 13.80/9.52 inference(transitivity,[status(thm)],[11489, 11487])).
% 13.80/9.52 tff(11491,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s133, c_busy)) | (~always3(s133)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11492,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s133)) | (~m_main_v_state(s133, c_busy))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11491, 11490])).
% 13.80/9.52 tff(11493,plain,
% 13.80/9.52 (~m_main_v_state(s133, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11492, 85, 11486])).
% 13.80/9.52 tff(11494,assumption,(~m_main_v_state(s134, c_busy)), introduced(assumption)).
% 13.80/9.52 tff(11495,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11496,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11497,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11496, 11495])).
% 13.80/9.52 tff(11498,plain,
% 13.80/9.52 (m_main_v_state(s133, c_ready)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11497, 102, 11493])).
% 13.80/9.52 tff(11499,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s133, s134)) | node2(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s133, s134)) | node2(s133, s134))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11500,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s133, s134)) | node2(s133, s134))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11501,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s133, s134)) | node2(s133, s134)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11500, 11499])).
% 13.80/9.52 tff(11502,plain,
% 13.80/9.52 (node2(s133, s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11501, 7, 9756])).
% 13.80/9.52 tff(11503,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11504,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11505,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11504, 11503])).
% 13.80/9.52 tff(11506,plain,
% 13.80/9.52 ((~m_main_v_state(s133, c_ready)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11505, 73, 11502])).
% 13.80/9.52 tff(11507,plain,
% 13.80/9.52 (~m_main_v_request(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11506, 11498, 11494])).
% 13.80/9.52 tff(11508,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s133) | (~node4(s133)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s133) | (~node4(s133)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11509,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s133) | (~node4(s133)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11510,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s133) | (~node4(s133))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11509, 11508])).
% 13.80/9.52 tff(11511,plain,
% 13.80/9.52 (~node4(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11510, 21, 11507])).
% 13.80/9.52 tff(11512,plain,
% 13.80/9.52 (~until5(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11482, 11511])).
% 13.80/9.52 tff(11513,plain,
% 13.80/9.52 (~xuntil6(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10252, 11512])).
% 13.80/9.52 tff(11514,plain,
% 13.80/9.52 (node4(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11479, 11513])).
% 13.80/9.52 tff(11515,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s132) | (~node4(s132)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s132) | (~node4(s132)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11516,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s132) | (~node4(s132)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11517,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s132) | (~node4(s132))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11516, 11515])).
% 13.80/9.52 tff(11518,plain,
% 13.80/9.52 (m_main_v_request(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11517, 21, 11514])).
% 13.80/9.52 tff(11519,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s132, s133)) | node2(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s132, s133)) | node2(s132, s133))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11520,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s132, s133)) | node2(s132, s133))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11521,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s132, s133)) | node2(s132, s133)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11520, 11519])).
% 13.80/9.52 tff(11522,plain,
% 13.80/9.52 (node2(s132, s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11521, 7, 9768])).
% 13.80/9.52 tff(11523,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11524,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11525,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 13.80/9.52 tff(11526,plain,
% 13.80/9.52 ((~m_main_v_state(s132, c_ready)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11525, 73, 11522])).
% 13.80/9.52 tff(11527,plain,
% 13.80/9.52 (~m_main_v_state(s132, c_ready)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11526, 11518, 11493])).
% 13.80/9.52 tff(11528,plain,
% 13.80/9.52 (always3(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10239, 36, 11514])).
% 13.80/9.52 tff(11529,plain,
% 13.80/9.52 (~m_main_v_state(s132, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11384, 85, 11528])).
% 13.80/9.52 tff(11530,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11531,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11532,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11531, 11530])).
% 13.80/9.52 tff(11533,plain,
% 13.80/9.52 ($false),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11532, 102, 11529, 11527])).
% 13.80/9.52 tff(11534,plain,((~until5(s132)) | xuntil6(s133) | m_main_v_state(s134, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.52 tff(11535,plain,
% 13.80/9.52 (m_main_v_state(s134, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11534, 11475, 11474])).
% 13.80/9.52 tff(11536,plain,
% 13.80/9.52 (~always3(s131)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9784, 11477])).
% 13.80/9.52 tff(11537,plain,
% 13.80/9.52 (~until5(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11485, 11476, 11475])).
% 13.80/9.52 tff(11538,plain,
% 13.80/9.52 (~xuntil6(s131)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10235, 11537])).
% 13.80/9.52 tff(11539,plain,
% 13.80/9.52 ($false),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11376, 11538, 11536, 11061])).
% 13.80/9.52 tff(11540,plain,(always3(s133) | (~until5(s122)) | xuntil6(s133)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.52 tff(11541,plain,
% 13.80/9.52 (always3(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11540, 11475, 11061])).
% 13.80/9.52 tff(11542,plain,
% 13.80/9.52 (always3(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9760, 11541])).
% 13.80/9.52 tff(11543,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s134)) | (~m_main_v_state(s134, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s134)) | (~m_main_v_state(s134, c_busy)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11544,plain,
% 13.80/9.52 (((~m_main_v_state(s134, c_busy)) | (~always3(s134))) <=> ((~always3(s134)) | (~m_main_v_state(s134, c_busy)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11545,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s134, c_busy)) | (~always3(s134)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s134)) | (~m_main_v_state(s134, c_busy))))),
% 13.80/9.52 inference(monotonicity,[status(thm)],[11544])).
% 13.80/9.52 tff(11546,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s134, c_busy)) | (~always3(s134)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s134)) | (~m_main_v_state(s134, c_busy)))),
% 13.80/9.52 inference(transitivity,[status(thm)],[11545, 11543])).
% 13.80/9.52 tff(11547,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s134, c_busy)) | (~always3(s134)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11548,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s134)) | (~m_main_v_state(s134, c_busy))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 13.80/9.52 tff(11549,plain,
% 13.80/9.52 ($false),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11548, 85, 11542, 11535])).
% 13.80/9.52 tff(11550,plain,(xuntil6(s133) | (~until5(s132)) | (~until5(s122))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.52 tff(11551,plain,
% 13.80/9.52 (xuntil6(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11550, 11473, 11061])).
% 13.80/9.52 tff(11552,plain,
% 13.80/9.52 (until5(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9751, 11551])).
% 13.80/9.52 tff(11553,assumption,(~xuntil6(s134)), introduced(assumption)).
% 13.80/9.52 tff(11554,assumption,(~always3(s134)), introduced(assumption)).
% 13.80/9.52 tff(11555,plain,
% 13.80/9.52 (~always3(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9760, 11554])).
% 13.80/9.52 tff(11556,plain,
% 13.80/9.52 (~node4(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10256, 36, 11555])).
% 13.80/9.52 tff(11557,plain,
% 13.80/9.52 (~node4(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9735, 36, 11554])).
% 13.80/9.52 tff(11558,plain,
% 13.80/9.52 (node4(s134) | (~until5(s134))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9742, 294, 11553])).
% 13.80/9.52 tff(11559,plain,
% 13.80/9.52 (~until5(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11558, 11557])).
% 13.80/9.52 tff(11560,plain,
% 13.80/9.52 (~xuntil6(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9751, 11559])).
% 13.80/9.52 tff(11561,plain,
% 13.80/9.52 (~until5(s133)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10263, 294, 11560, 11556])).
% 13.80/9.52 tff(11562,plain,
% 13.80/9.52 (~xuntil6(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10252, 11561])).
% 13.80/9.52 tff(11563,plain,
% 13.80/9.52 (~always3(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9772, 11555])).
% 13.80/9.52 tff(11564,plain,
% 13.80/9.52 (~node4(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10239, 36, 11563])).
% 13.80/9.52 tff(11565,plain,
% 13.80/9.52 (xuntil6(s132) | (~until5(s132))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10246, 294, 11564])).
% 13.80/9.52 tff(11566,plain,
% 13.80/9.52 (~until5(s132)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11565, 11562])).
% 13.80/9.52 tff(11567,plain,
% 13.80/9.52 (~xuntil6(s131)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10235, 11566])).
% 13.80/9.52 tff(11568,plain,
% 13.80/9.52 (~always3(s131)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9784, 11563])).
% 13.80/9.52 tff(11569,plain,
% 13.80/9.52 (~node4(s131)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10222, 36, 11568])).
% 13.80/9.52 tff(11570,plain,
% 13.80/9.52 (xuntil6(s131) | (~until5(s131))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10229, 294, 11569])).
% 13.80/9.52 tff(11571,plain,
% 13.80/9.52 (~until5(s131)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11570, 11567])).
% 13.80/9.52 tff(11572,plain,
% 13.80/9.52 (~xuntil6(s130)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10218, 11571])).
% 13.80/9.52 tff(11573,plain,
% 13.80/9.52 (~always3(s130)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9796, 11568])).
% 13.80/9.52 tff(11574,plain,
% 13.80/9.52 (~node4(s130)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10205, 36, 11573])).
% 13.80/9.52 tff(11575,plain,
% 13.80/9.52 (xuntil6(s130) | (~until5(s130))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10212, 294, 11574])).
% 13.80/9.52 tff(11576,plain,
% 13.80/9.52 (~until5(s130)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11575, 11572])).
% 13.80/9.52 tff(11577,plain,
% 13.80/9.52 (~xuntil6(s129)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10201, 11576])).
% 13.80/9.52 tff(11578,plain,
% 13.80/9.52 (~always3(s129)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9808, 11573])).
% 13.80/9.52 tff(11579,plain,
% 13.80/9.52 (~node4(s129)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10188, 36, 11578])).
% 13.80/9.52 tff(11580,plain,
% 13.80/9.52 (xuntil6(s129) | (~until5(s129))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10195, 294, 11579])).
% 13.80/9.52 tff(11581,plain,
% 13.80/9.52 (~until5(s129)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11580, 11577])).
% 13.80/9.52 tff(11582,plain,
% 13.80/9.52 (~xuntil6(s128)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10184, 11581])).
% 13.80/9.52 tff(11583,plain,
% 13.80/9.52 (~always3(s128)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9820, 11578])).
% 13.80/9.52 tff(11584,plain,
% 13.80/9.52 (~always3(s127)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9832, 11583])).
% 13.80/9.52 tff(11585,plain,
% 13.80/9.52 (~always3(s126)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9844, 11584])).
% 13.80/9.52 tff(11586,plain,
% 13.80/9.52 (~always3(s125)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9856, 11585])).
% 13.80/9.52 tff(11587,plain,
% 13.80/9.52 (~always3(s124)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9868, 11586])).
% 13.80/9.52 tff(11588,plain,
% 13.80/9.52 (~always3(s123)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9880, 11587])).
% 13.80/9.52 tff(11589,plain,
% 13.80/9.52 (~node4(s123)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10086, 36, 11588])).
% 13.80/9.52 tff(11590,plain,
% 13.80/9.52 (~always3(s122)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9892, 11588])).
% 13.80/9.52 tff(11591,plain,
% 13.80/9.52 (~node4(s122)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10069, 36, 11590])).
% 13.80/9.52 tff(11592,plain,
% 13.80/9.52 (xuntil6(s122)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11286, 11591])).
% 13.80/9.52 tff(11593,plain,
% 13.80/9.52 (until5(s123)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10082, 11592])).
% 13.80/9.52 tff(11594,plain,
% 13.80/9.52 (xuntil6(s123)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10093, 294, 11593, 11589])).
% 13.80/9.52 tff(11595,plain,
% 13.80/9.52 (until5(s124)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10099, 11594])).
% 13.80/9.52 tff(11596,plain,
% 13.80/9.52 (~node4(s124)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10103, 36, 11587])).
% 13.80/9.52 tff(11597,plain,
% 13.80/9.52 (xuntil6(s124) | (~until5(s124))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10110, 294, 11596])).
% 13.80/9.52 tff(11598,plain,
% 13.80/9.52 (xuntil6(s124)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11597, 11595])).
% 13.80/9.52 tff(11599,plain,
% 13.80/9.52 (until5(s125)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10116, 11598])).
% 13.80/9.52 tff(11600,plain,
% 13.80/9.52 (~node4(s125)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10120, 36, 11586])).
% 13.80/9.52 tff(11601,plain,
% 13.80/9.52 (xuntil6(s125) | (~until5(s125))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10127, 294, 11600])).
% 13.80/9.52 tff(11602,plain,
% 13.80/9.52 (xuntil6(s125)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11601, 11599])).
% 13.80/9.52 tff(11603,plain,
% 13.80/9.52 (until5(s126)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10133, 11602])).
% 13.80/9.52 tff(11604,plain,
% 13.80/9.52 (~node4(s126)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10137, 36, 11585])).
% 13.80/9.52 tff(11605,plain,
% 13.80/9.52 (xuntil6(s126) | (~until5(s126))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10144, 294, 11604])).
% 13.80/9.52 tff(11606,plain,
% 13.80/9.52 (xuntil6(s126)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11605, 11603])).
% 13.80/9.52 tff(11607,plain,
% 13.80/9.52 (until5(s127)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10150, 11606])).
% 13.80/9.52 tff(11608,plain,
% 13.80/9.52 (~node4(s127)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10154, 36, 11584])).
% 13.80/9.52 tff(11609,plain,
% 13.80/9.52 (xuntil6(s127) | (~until5(s127))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10161, 294, 11608])).
% 13.80/9.52 tff(11610,plain,
% 13.80/9.52 (xuntil6(s127)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11609, 11607])).
% 13.80/9.52 tff(11611,plain,
% 13.80/9.52 (until5(s128)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10167, 11610])).
% 13.80/9.52 tff(11612,plain,
% 13.80/9.52 (~node4(s128)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10171, 36, 11583])).
% 13.80/9.52 tff(11613,plain,
% 13.80/9.52 (xuntil6(s128) | (~until5(s128))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[10178, 294, 11612])).
% 13.80/9.52 tff(11614,plain,
% 13.80/9.52 ($false),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11613, 11611, 11582])).
% 13.80/9.52 tff(11615,plain,(always3(s134) | (~until5(s122)) | xuntil6(s134)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.52 tff(11616,plain,
% 13.80/9.52 (always3(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11615, 11553, 11061])).
% 13.80/9.52 tff(11617,plain,
% 13.80/9.52 (always3(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9731, 11616])).
% 13.80/9.52 tff(11618,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s135)) | (~m_main_v_state(s135, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s135)) | (~m_main_v_state(s135, c_busy)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11619,plain,
% 13.80/9.52 (((~m_main_v_state(s135, c_busy)) | (~always3(s135))) <=> ((~always3(s135)) | (~m_main_v_state(s135, c_busy)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11620,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s135, c_busy)) | (~always3(s135)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s135)) | (~m_main_v_state(s135, c_busy))))),
% 13.80/9.52 inference(monotonicity,[status(thm)],[11619])).
% 13.80/9.52 tff(11621,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s135, c_busy)) | (~always3(s135)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s135)) | (~m_main_v_state(s135, c_busy)))),
% 13.80/9.52 inference(transitivity,[status(thm)],[11620, 11618])).
% 13.80/9.52 tff(11622,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s135, c_busy)) | (~always3(s135)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11623,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s135)) | (~m_main_v_state(s135, c_busy))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11622, 11621])).
% 13.80/9.52 tff(11624,plain,
% 13.80/9.52 (~m_main_v_state(s135, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11623, 85, 11617])).
% 13.80/9.52 tff(11625,assumption,(until5(s134)), introduced(assumption)).
% 13.80/9.52 tff(11626,plain,
% 13.80/9.52 (xuntil6(s134) | node4(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9742, 294, 11625])).
% 13.80/9.52 tff(11627,plain,
% 13.80/9.52 (node4(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11626, 11553])).
% 13.80/9.52 tff(11628,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s134) | (~node4(s134)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s134) | (~node4(s134)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11629,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s134) | (~node4(s134)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11630,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s134) | (~node4(s134))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11629, 11628])).
% 13.80/9.52 tff(11631,plain,
% 13.80/9.52 (m_main_v_request(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11630, 21, 11627])).
% 13.80/9.52 tff(11632,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s134, s135)) | node2(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s134, s135)) | node2(s134, s135))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11633,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s134, s135)) | node2(s134, s135))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11634,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s134, s135)) | node2(s134, s135)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11633, 11632])).
% 13.80/9.52 tff(11635,plain,
% 13.80/9.52 (node2(s134, s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11634, 7, 9727])).
% 13.80/9.52 tff(11636,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11637,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11638,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11637, 11636])).
% 13.80/9.52 tff(11639,plain,
% 13.80/9.52 ((~m_main_v_state(s134, c_ready)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11638, 73, 11635])).
% 13.80/9.52 tff(11640,plain,
% 13.80/9.52 (~m_main_v_state(s134, c_ready)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11639, 11631, 11624])).
% 13.80/9.52 tff(11641,plain,
% 13.80/9.52 (~m_main_v_state(s134, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11548, 85, 11616])).
% 13.80/9.52 tff(11642,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11643,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11644,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 13.80/9.52 tff(11645,plain,
% 13.80/9.52 ($false),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11644, 102, 11641, 11640])).
% 13.80/9.52 tff(11646,plain,(xuntil6(s134) | (~until5(s134)) | (~until5(s122))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.52 tff(11647,plain,
% 13.80/9.52 (xuntil6(s134)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11646, 11552, 11061])).
% 13.80/9.52 tff(11648,plain,
% 13.80/9.52 (until5(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9722, 11647])).
% 13.80/9.52 tff(11649,assumption,(node4(s135)), introduced(assumption)).
% 13.80/9.52 tff(11650,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s135) | (~node4(s135)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s135) | (~node4(s135)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11651,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s135) | (~node4(s135)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11652,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s135) | (~node4(s135))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11651, 11650])).
% 13.80/9.52 tff(11653,plain,
% 13.80/9.52 (m_main_v_request(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11652, 21, 11649])).
% 13.80/9.52 tff(11654,plain,
% 13.80/9.52 (always3(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9706, 36, 11649])).
% 13.80/9.52 tff(11655,plain,
% 13.80/9.52 (always3(s136)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9702, 11654])).
% 13.80/9.52 tff(11656,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s136)) | (~m_main_v_state(s136, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s136)) | (~m_main_v_state(s136, c_busy)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11657,plain,
% 13.80/9.52 (((~m_main_v_state(s136, c_busy)) | (~always3(s136))) <=> ((~always3(s136)) | (~m_main_v_state(s136, c_busy)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11658,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s136, c_busy)) | (~always3(s136)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s136)) | (~m_main_v_state(s136, c_busy))))),
% 13.80/9.52 inference(monotonicity,[status(thm)],[11657])).
% 13.80/9.52 tff(11659,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s136, c_busy)) | (~always3(s136)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s136)) | (~m_main_v_state(s136, c_busy)))),
% 13.80/9.52 inference(transitivity,[status(thm)],[11658, 11656])).
% 13.80/9.52 tff(11660,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s136, c_busy)) | (~always3(s136)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11661,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s136)) | (~m_main_v_state(s136, c_busy))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11660, 11659])).
% 13.80/9.52 tff(11662,plain,
% 13.80/9.52 (~m_main_v_state(s136, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11661, 85, 11655])).
% 13.80/9.52 tff(11663,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s135, s136)) | node2(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s135, s136)) | node2(s135, s136))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11664,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s135, s136)) | node2(s135, s136))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11665,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s135, s136)) | node2(s135, s136)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11664, 11663])).
% 13.80/9.52 tff(11666,plain,
% 13.80/9.52 (node2(s135, s136)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11665, 7, 9698])).
% 13.80/9.52 tff(11667,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11668,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11669,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11668, 11667])).
% 13.80/9.52 tff(11670,plain,
% 13.80/9.52 ((~m_main_v_state(s135, c_ready)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11669, 73, 11666])).
% 13.80/9.52 tff(11671,plain,
% 13.80/9.52 (~m_main_v_state(s135, c_ready)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11670, 11662, 11653])).
% 13.80/9.52 tff(11672,plain,
% 13.80/9.52 (~m_main_v_state(s135, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11623, 85, 11654])).
% 13.80/9.52 tff(11673,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11674,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11675,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11674, 11673])).
% 13.80/9.52 tff(11676,plain,
% 13.80/9.52 ($false),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11675, 102, 11672, 11671])).
% 13.80/9.52 tff(11677,plain,(~node4(s135)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.52 tff(11678,plain,
% 13.80/9.52 (xuntil6(s135) | (~until5(s135))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9713, 294, 11677])).
% 13.80/9.52 tff(11679,plain,
% 13.80/9.52 (xuntil6(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11678, 11648])).
% 13.80/9.52 tff(11680,plain,
% 13.80/9.52 (until5(s136)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9693, 11679])).
% 13.80/9.52 tff(11681,assumption,(~xuntil6(s140)), introduced(assumption)).
% 13.80/9.52 tff(11682,assumption,(until5(s137)), introduced(assumption)).
% 13.80/9.52 tff(11683,assumption,(until5(s135)), introduced(assumption)).
% 13.80/9.52 tff(11684,assumption,(~always3(s140)), introduced(assumption)).
% 13.80/9.52 tff(11685,plain,
% 13.80/9.52 (~always3(s139)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9586, 11684])).
% 13.80/9.52 tff(11686,plain,
% 13.80/9.52 (~node4(s139)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9590, 36, 11685])).
% 13.80/9.52 tff(11687,plain,
% 13.80/9.52 (~node4(s140)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9561, 36, 11684])).
% 13.80/9.52 tff(11688,plain,
% 13.80/9.52 (node4(s140) | (~until5(s140))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9568, 294, 11681])).
% 13.80/9.52 tff(11689,plain,
% 13.80/9.52 (~until5(s140)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11688, 11687])).
% 13.80/9.52 tff(11690,plain,
% 13.80/9.52 (~xuntil6(s139)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9577, 11689])).
% 13.80/9.52 tff(11691,plain,
% 13.80/9.52 (~until5(s139)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9597, 294, 11690, 11686])).
% 13.80/9.52 tff(11692,plain,
% 13.80/9.52 (~xuntil6(s138)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9606, 11691])).
% 13.80/9.52 tff(11693,plain,
% 13.80/9.52 (~always3(s138)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9615, 11685])).
% 13.80/9.52 tff(11694,plain,
% 13.80/9.52 (~node4(s138)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9619, 36, 11693])).
% 13.80/9.52 tff(11695,plain,
% 13.80/9.52 (xuntil6(s138) | (~until5(s138))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9626, 294, 11694])).
% 13.80/9.52 tff(11696,plain,
% 13.80/9.52 (~until5(s138)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11695, 11692])).
% 13.80/9.52 tff(11697,plain,
% 13.80/9.52 (~always3(s137)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9644, 11693])).
% 13.80/9.52 tff(11698,plain,
% 13.80/9.52 (~always3(s136)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9673, 11697])).
% 13.80/9.52 tff(11699,plain,
% 13.80/9.52 (~node4(s136)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9677, 36, 11698])).
% 13.80/9.52 tff(11700,plain,
% 13.80/9.52 (~always3(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9702, 11698])).
% 13.80/9.52 tff(11701,plain,
% 13.80/9.52 (~node4(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9706, 36, 11700])).
% 13.80/9.52 tff(11702,plain,
% 13.80/9.52 (xuntil6(s135) | node4(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9713, 294, 11683])).
% 13.80/9.52 tff(11703,plain,
% 13.80/9.52 (xuntil6(s135)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11702, 11701])).
% 13.80/9.52 tff(11704,plain,
% 13.80/9.52 (until5(s136)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9693, 11703])).
% 13.80/9.52 tff(11705,plain,
% 13.80/9.52 (xuntil6(s136)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9684, 294, 11704, 11699])).
% 13.80/9.52 tff(11706,plain,
% 13.80/9.52 (until5(s137)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9664, 11705])).
% 13.80/9.52 tff(11707,plain,
% 13.80/9.52 (~node4(s137)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9648, 36, 11697])).
% 13.80/9.52 tff(11708,plain,
% 13.80/9.52 (xuntil6(s137) | (~until5(s137))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9655, 294, 11707])).
% 13.80/9.52 tff(11709,plain,
% 13.80/9.52 (xuntil6(s137)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11708, 11706])).
% 13.80/9.52 tff(11710,plain,
% 13.80/9.52 ($false),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9635, 11709, 11696])).
% 13.80/9.52 tff(11711,plain,(always3(s140) | (~until5(s135)) | xuntil6(s140)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.52 tff(11712,plain,
% 13.80/9.52 (always3(s140)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11711, 11681, 11683])).
% 13.80/9.52 tff(11713,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s140)) | (~m_main_v_state(s140, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s140)) | (~m_main_v_state(s140, c_busy)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11714,plain,
% 13.80/9.52 (((~m_main_v_state(s140, c_busy)) | (~always3(s140))) <=> ((~always3(s140)) | (~m_main_v_state(s140, c_busy)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11715,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s140, c_busy)) | (~always3(s140)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s140)) | (~m_main_v_state(s140, c_busy))))),
% 13.80/9.52 inference(monotonicity,[status(thm)],[11714])).
% 13.80/9.52 tff(11716,plain,
% 13.80/9.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s140, c_busy)) | (~always3(s140)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s140)) | (~m_main_v_state(s140, c_busy)))),
% 13.80/9.52 inference(transitivity,[status(thm)],[11715, 11713])).
% 13.80/9.52 tff(11717,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s140, c_busy)) | (~always3(s140)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11718,plain,
% 13.80/9.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s140)) | (~m_main_v_state(s140, c_busy))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11717, 11716])).
% 13.80/9.52 tff(11719,plain,
% 13.80/9.52 (~m_main_v_state(s140, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11718, 85, 11712])).
% 13.80/9.52 tff(11720,plain,
% 13.80/9.52 (always3(s141)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9557, 11712])).
% 13.80/9.52 tff(11721,plain,
% 13.80/9.52 (~m_main_v_state(s141, c_busy)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9295, 85, 11720])).
% 13.80/9.52 tff(11722,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11723,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11724,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11723, 11722])).
% 13.80/9.52 tff(11725,plain,
% 13.80/9.52 (m_main_v_state(s140, c_ready)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11724, 102, 11719])).
% 13.80/9.52 tff(11726,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s140, s141)) | node2(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s140, s141)) | node2(s140, s141))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11727,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s140, s141)) | node2(s140, s141))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11728,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s140, s141)) | node2(s140, s141)),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11727, 11726])).
% 13.80/9.52 tff(11729,plain,
% 13.80/9.52 (node2(s140, s141)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11728, 7, 9553])).
% 13.80/9.52 tff(11730,plain,
% 13.80/9.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11731,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11732,plain,
% 13.80/9.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11731, 11730])).
% 13.80/9.52 tff(11733,plain,
% 13.80/9.52 ((~m_main_v_state(s140, c_ready)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11732, 73, 11729])).
% 13.80/9.52 tff(11734,plain,
% 13.80/9.52 (~m_main_v_request(s140)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11733, 11725, 11721])).
% 13.80/9.52 tff(11735,plain,
% 13.80/9.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s140) | (~node4(s140)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s140) | (~node4(s140)))),
% 13.80/9.52 inference(rewrite,[status(thm)],[])).
% 13.80/9.52 tff(11736,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s140) | (~node4(s140)))),
% 13.80/9.52 inference(quant_inst,[status(thm)],[])).
% 13.80/9.52 tff(11737,plain,
% 13.80/9.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s140) | (~node4(s140))),
% 13.80/9.52 inference(modus_ponens,[status(thm)],[11736, 11735])).
% 13.80/9.52 tff(11738,plain,
% 13.80/9.52 (~node4(s140)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11737, 21, 11734])).
% 13.80/9.52 tff(11739,plain,
% 13.80/9.52 (~until5(s140)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11688, 11738])).
% 13.80/9.52 tff(11740,plain,
% 13.80/9.52 (~xuntil6(s139)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9577, 11739])).
% 13.80/9.52 tff(11741,assumption,(~always3(s139)), introduced(assumption)).
% 13.80/9.52 tff(11742,plain,
% 13.80/9.52 (~always3(s138)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9615, 11741])).
% 13.80/9.52 tff(11743,plain,
% 13.80/9.52 (~node4(s138)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9619, 36, 11742])).
% 13.80/9.52 tff(11744,plain,
% 13.80/9.52 (~always3(s137)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9644, 11742])).
% 13.80/9.52 tff(11745,plain,
% 13.80/9.52 (~node4(s137)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9648, 36, 11744])).
% 13.80/9.52 tff(11746,plain,
% 13.80/9.52 (xuntil6(s137) | node4(s137)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9655, 294, 11682])).
% 13.80/9.52 tff(11747,plain,
% 13.80/9.52 (xuntil6(s137)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11746, 11745])).
% 13.80/9.52 tff(11748,plain,
% 13.80/9.52 (until5(s138)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9635, 11747])).
% 13.80/9.52 tff(11749,plain,
% 13.80/9.52 (xuntil6(s138)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9626, 294, 11748, 11743])).
% 13.80/9.52 tff(11750,plain,
% 13.80/9.52 (until5(s139)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9606, 11749])).
% 13.80/9.52 tff(11751,assumption,(~xuntil6(s139)), introduced(assumption)).
% 13.80/9.52 tff(11752,plain,
% 13.80/9.52 (node4(s139) | (~until5(s139))),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[9597, 294, 11751])).
% 13.80/9.52 tff(11753,plain,
% 13.80/9.52 (node4(s139)),
% 13.80/9.52 inference(unit_resolution,[status(thm)],[11752, 11750])).
% 13.80/9.52 tff(11754,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9590, 36, 11741, 11753])).
% 13.80/9.53 tff(11755,plain,(always3(s139) | xuntil6(s139) | (~until5(s137))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11756,plain,
% 13.80/9.53 (always3(s139)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11755, 11740, 11682])).
% 13.80/9.53 tff(11757,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s139)) | (~m_main_v_state(s139, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s139)) | (~m_main_v_state(s139, c_busy)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11758,plain,
% 13.80/9.53 (((~m_main_v_state(s139, c_busy)) | (~always3(s139))) <=> ((~always3(s139)) | (~m_main_v_state(s139, c_busy)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11759,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s139, c_busy)) | (~always3(s139)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s139)) | (~m_main_v_state(s139, c_busy))))),
% 13.80/9.53 inference(monotonicity,[status(thm)],[11758])).
% 13.80/9.53 tff(11760,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s139, c_busy)) | (~always3(s139)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s139)) | (~m_main_v_state(s139, c_busy)))),
% 13.80/9.53 inference(transitivity,[status(thm)],[11759, 11757])).
% 13.80/9.53 tff(11761,plain,
% 13.80/9.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s139, c_busy)) | (~always3(s139)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11762,plain,
% 13.80/9.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s139)) | (~m_main_v_state(s139, c_busy))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 13.80/9.53 tff(11763,plain,
% 13.80/9.53 (~m_main_v_state(s139, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11762, 85, 11756])).
% 13.80/9.53 tff(11764,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11765,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11766,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 13.80/9.53 tff(11767,plain,
% 13.80/9.53 (m_main_v_state(s139, c_ready)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11766, 102, 11763])).
% 13.80/9.53 tff(11768,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s139, s140)) | node2(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s139, s140)) | node2(s139, s140))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11769,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s139, s140)) | node2(s139, s140))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11770,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s139, s140)) | node2(s139, s140)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11769, 11768])).
% 13.80/9.53 tff(11771,plain,
% 13.80/9.53 (node2(s139, s140)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11770, 7, 9582])).
% 13.80/9.53 tff(11772,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11773,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11774,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 13.80/9.53 tff(11775,plain,
% 13.80/9.53 ((~m_main_v_state(s139, c_ready)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11774, 73, 11771])).
% 13.80/9.53 tff(11776,plain,
% 13.80/9.53 (~m_main_v_request(s139)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11775, 11767, 11719])).
% 13.80/9.53 tff(11777,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s139) | (~node4(s139)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s139) | (~node4(s139)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11778,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s139) | (~node4(s139)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11779,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s139) | (~node4(s139))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 13.80/9.53 tff(11780,plain,
% 13.80/9.53 (~node4(s139)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11779, 21, 11776])).
% 13.80/9.53 tff(11781,plain,
% 13.80/9.53 (node4(s139) | (~until5(s139))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9597, 294, 11740])).
% 13.80/9.53 tff(11782,plain,
% 13.80/9.53 (~until5(s139)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11781, 11780])).
% 13.80/9.53 tff(11783,plain,
% 13.80/9.53 (~xuntil6(s138)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9606, 11782])).
% 13.80/9.53 tff(11784,assumption,(~always3(s138)), introduced(assumption)).
% 13.80/9.53 tff(11785,plain,
% 13.80/9.53 (~always3(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9644, 11784])).
% 13.80/9.53 tff(11786,plain,
% 13.80/9.53 (~node4(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9648, 36, 11785])).
% 13.80/9.53 tff(11787,plain,
% 13.80/9.53 (xuntil6(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11746, 11786])).
% 13.80/9.53 tff(11788,plain,
% 13.80/9.53 (until5(s138)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9635, 11787])).
% 13.80/9.53 tff(11789,assumption,(~xuntil6(s138)), introduced(assumption)).
% 13.80/9.53 tff(11790,plain,
% 13.80/9.53 (node4(s138) | (~until5(s138))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9626, 294, 11789])).
% 13.80/9.53 tff(11791,plain,
% 13.80/9.53 (node4(s138)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11790, 11788])).
% 13.80/9.53 tff(11792,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9619, 36, 11784, 11791])).
% 13.80/9.53 tff(11793,plain,(always3(s138) | xuntil6(s138) | (~until5(s137))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11794,plain,
% 13.80/9.53 (always3(s138)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11793, 11783, 11682])).
% 13.80/9.53 tff(11795,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s138)) | (~m_main_v_state(s138, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s138)) | (~m_main_v_state(s138, c_busy)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11796,plain,
% 13.80/9.53 (((~m_main_v_state(s138, c_busy)) | (~always3(s138))) <=> ((~always3(s138)) | (~m_main_v_state(s138, c_busy)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11797,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s138, c_busy)) | (~always3(s138)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s138)) | (~m_main_v_state(s138, c_busy))))),
% 13.80/9.53 inference(monotonicity,[status(thm)],[11796])).
% 13.80/9.53 tff(11798,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s138, c_busy)) | (~always3(s138)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s138)) | (~m_main_v_state(s138, c_busy)))),
% 13.80/9.53 inference(transitivity,[status(thm)],[11797, 11795])).
% 13.80/9.53 tff(11799,plain,
% 13.80/9.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s138, c_busy)) | (~always3(s138)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11800,plain,
% 13.80/9.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s138)) | (~m_main_v_state(s138, c_busy))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 13.80/9.53 tff(11801,plain,
% 13.80/9.53 (~m_main_v_state(s138, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11800, 85, 11794])).
% 13.80/9.53 tff(11802,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11803,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11804,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11803, 11802])).
% 13.80/9.53 tff(11805,plain,
% 13.80/9.53 (m_main_v_state(s138, c_ready)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11804, 102, 11801])).
% 13.80/9.53 tff(11806,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s138, s139)) | node2(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s138, s139)) | node2(s138, s139))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11807,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s138, s139)) | node2(s138, s139))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11808,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s138, s139)) | node2(s138, s139)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 13.80/9.53 tff(11809,plain,
% 13.80/9.53 (node2(s138, s139)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11808, 7, 9611])).
% 13.80/9.53 tff(11810,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11811,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11812,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11811, 11810])).
% 13.80/9.53 tff(11813,plain,
% 13.80/9.53 ((~m_main_v_state(s138, c_ready)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11812, 73, 11809])).
% 13.80/9.53 tff(11814,plain,
% 13.80/9.53 (~m_main_v_request(s138)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11813, 11805, 11763])).
% 13.80/9.53 tff(11815,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s138) | (~node4(s138)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s138) | (~node4(s138)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11816,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s138) | (~node4(s138)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11817,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s138) | (~node4(s138))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11816, 11815])).
% 13.80/9.53 tff(11818,plain,
% 13.80/9.53 (~node4(s138)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11817, 21, 11814])).
% 13.80/9.53 tff(11819,plain,
% 13.80/9.53 (node4(s138) | (~until5(s138))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9626, 294, 11783])).
% 13.80/9.53 tff(11820,plain,
% 13.80/9.53 (~until5(s138)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11819, 11818])).
% 13.80/9.53 tff(11821,plain,
% 13.80/9.53 (~xuntil6(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9635, 11820])).
% 13.80/9.53 tff(11822,plain,
% 13.80/9.53 (node4(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11746, 11821])).
% 13.80/9.53 tff(11823,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s137) | (~node4(s137)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s137) | (~node4(s137)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11824,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s137) | (~node4(s137)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11825,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s137) | (~node4(s137))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11824, 11823])).
% 13.80/9.53 tff(11826,plain,
% 13.80/9.53 (m_main_v_request(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11825, 21, 11822])).
% 13.80/9.53 tff(11827,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s137, s138)) | node2(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s137, s138)) | node2(s137, s138))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11828,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s137, s138)) | node2(s137, s138))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11829,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s137, s138)) | node2(s137, s138)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11828, 11827])).
% 13.80/9.53 tff(11830,plain,
% 13.80/9.53 (node2(s137, s138)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11829, 7, 9640])).
% 13.80/9.53 tff(11831,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11832,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11833,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11832, 11831])).
% 13.80/9.53 tff(11834,plain,
% 13.80/9.53 ((~m_main_v_state(s137, c_ready)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11833, 73, 11830])).
% 13.80/9.53 tff(11835,plain,
% 13.80/9.53 (~m_main_v_state(s137, c_ready)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11834, 11826, 11801])).
% 13.80/9.53 tff(11836,plain,
% 13.80/9.53 (always3(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9648, 36, 11822])).
% 13.80/9.53 tff(11837,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s137)) | (~m_main_v_state(s137, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s137)) | (~m_main_v_state(s137, c_busy)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11838,plain,
% 13.80/9.53 (((~m_main_v_state(s137, c_busy)) | (~always3(s137))) <=> ((~always3(s137)) | (~m_main_v_state(s137, c_busy)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11839,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s137, c_busy)) | (~always3(s137)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s137)) | (~m_main_v_state(s137, c_busy))))),
% 13.80/9.53 inference(monotonicity,[status(thm)],[11838])).
% 13.80/9.53 tff(11840,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s137, c_busy)) | (~always3(s137)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s137)) | (~m_main_v_state(s137, c_busy)))),
% 13.80/9.53 inference(transitivity,[status(thm)],[11839, 11837])).
% 13.80/9.53 tff(11841,plain,
% 13.80/9.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s137, c_busy)) | (~always3(s137)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11842,plain,
% 13.80/9.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s137)) | (~m_main_v_state(s137, c_busy))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 13.80/9.53 tff(11843,plain,
% 13.80/9.53 (~m_main_v_state(s137, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11842, 85, 11836])).
% 13.80/9.53 tff(11844,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11845,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11846,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11845, 11844])).
% 13.80/9.53 tff(11847,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11846, 102, 11843, 11835])).
% 13.80/9.53 tff(11848,plain,(xuntil6(s140) | (~until5(s137)) | (~until5(s135))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11849,plain,
% 13.80/9.53 (~until5(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11848, 11648, 11681])).
% 13.80/9.53 tff(11850,plain,
% 13.80/9.53 (~xuntil6(s136)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9664, 11849])).
% 13.80/9.53 tff(11851,assumption,(~xuntil6(s136)), introduced(assumption)).
% 13.80/9.53 tff(11852,assumption,(~always3(s136)), introduced(assumption)).
% 13.80/9.53 tff(11853,plain,
% 13.80/9.53 (~always3(s135)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9702, 11852])).
% 13.80/9.53 tff(11854,plain,
% 13.80/9.53 (~always3(s134)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9731, 11853])).
% 13.80/9.53 tff(11855,plain,
% 13.80/9.53 (xuntil6(s134)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11615, 11854, 11061])).
% 13.80/9.53 tff(11856,plain,
% 13.80/9.53 (until5(s135)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9722, 11855])).
% 13.80/9.53 tff(11857,plain,
% 13.80/9.53 (xuntil6(s135)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11678, 11856])).
% 13.80/9.53 tff(11858,plain,
% 13.80/9.53 (until5(s136)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9693, 11857])).
% 13.80/9.53 tff(11859,plain,
% 13.80/9.53 (node4(s136) | (~until5(s136))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9684, 294, 11851])).
% 13.80/9.53 tff(11860,plain,
% 13.80/9.53 (node4(s136)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11859, 11858])).
% 13.80/9.53 tff(11861,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9677, 36, 11852, 11860])).
% 13.80/9.53 tff(11862,plain,(always3(s136) | xuntil6(s136) | (~until5(s122))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11863,plain,
% 13.80/9.53 (always3(s136)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11862, 11851, 11061])).
% 13.80/9.53 tff(11864,plain,
% 13.80/9.53 (always3(s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9673, 11863])).
% 13.80/9.53 tff(11865,plain,
% 13.80/9.53 (~m_main_v_state(s137, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11842, 85, 11864])).
% 13.80/9.53 tff(11866,assumption,(until5(s136)), introduced(assumption)).
% 13.80/9.53 tff(11867,plain,
% 13.80/9.53 (xuntil6(s136) | node4(s136)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9684, 294, 11866])).
% 13.80/9.53 tff(11868,plain,
% 13.80/9.53 (node4(s136)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11867, 11851])).
% 13.80/9.53 tff(11869,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s136) | (~node4(s136)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s136) | (~node4(s136)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11870,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s136) | (~node4(s136)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11871,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s136) | (~node4(s136))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 13.80/9.53 tff(11872,plain,
% 13.80/9.53 (m_main_v_request(s136)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11871, 21, 11868])).
% 13.80/9.53 tff(11873,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s136, s137)) | node2(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s136, s137)) | node2(s136, s137))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11874,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s136, s137)) | node2(s136, s137))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11875,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s136, s137)) | node2(s136, s137)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11874, 11873])).
% 13.80/9.53 tff(11876,plain,
% 13.80/9.53 (node2(s136, s137)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11875, 7, 9669])).
% 13.80/9.53 tff(11877,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11878,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11879,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11878, 11877])).
% 13.80/9.53 tff(11880,plain,
% 13.80/9.53 ((~m_main_v_state(s136, c_ready)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11879, 73, 11876])).
% 13.80/9.53 tff(11881,plain,
% 13.80/9.53 (~m_main_v_state(s136, c_ready)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11880, 11872, 11865])).
% 13.80/9.53 tff(11882,plain,
% 13.80/9.53 (~m_main_v_state(s136, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11661, 85, 11863])).
% 13.80/9.53 tff(11883,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11884,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11885,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11884, 11883])).
% 13.80/9.53 tff(11886,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11885, 102, 11882, 11881])).
% 13.80/9.53 tff(11887,plain,(xuntil6(s136) | (~until5(s136)) | (~until5(s122))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11888,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11887, 11850, 11680, 11061])).
% 13.80/9.53 tff(11889,plain,((~until5(s122)) | xuntil6(s140)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11890,plain,
% 13.80/9.53 (xuntil6(s140)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11889, 11060])).
% 13.80/9.53 tff(11891,plain,
% 13.80/9.53 (until5(s141)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9548, 11890])).
% 13.80/9.53 tff(11892,plain,
% 13.80/9.53 (xuntil6(s141) | node4(s141)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9539, 294, 11891])).
% 13.80/9.53 tff(11893,plain,
% 13.80/9.53 (xuntil6(s141)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11892, 10386])).
% 13.80/9.53 tff(11894,plain,
% 13.80/9.53 (until5(s142)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9530, 11893])).
% 13.80/9.53 tff(11895,assumption,(~xuntil6(s144)), introduced(assumption)).
% 13.80/9.53 tff(11896,assumption,(until5(s142)), introduced(assumption)).
% 13.80/9.53 tff(11897,assumption,(~always3(s144)), introduced(assumption)).
% 13.80/9.53 tff(11898,plain,
% 13.80/9.53 (~always3(s143)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9191, 11897])).
% 13.80/9.53 tff(11899,plain,
% 13.80/9.53 (~node4(s143)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9179, 36, 11898])).
% 13.80/9.53 tff(11900,plain,
% 13.80/9.53 (~node4(s144)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9480, 36, 11897])).
% 13.80/9.53 tff(11901,plain,
% 13.80/9.53 (node4(s144) | (~until5(s144))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9487, 294, 11895])).
% 13.80/9.53 tff(11902,plain,
% 13.80/9.53 (~until5(s144)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11901, 11900])).
% 13.80/9.53 tff(11903,plain,
% 13.80/9.53 (~xuntil6(s143)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9493, 11902])).
% 13.80/9.53 tff(11904,plain,
% 13.80/9.53 (~always3(s142)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9513, 11898])).
% 13.80/9.53 tff(11905,plain,
% 13.80/9.53 (~node4(s142)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9517, 36, 11904])).
% 13.80/9.53 tff(11906,plain,
% 13.80/9.53 (xuntil6(s142) | node4(s142)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9524, 294, 11896])).
% 13.80/9.53 tff(11907,plain,
% 13.80/9.53 (xuntil6(s142)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11906, 11905])).
% 13.80/9.53 tff(11908,plain,
% 13.80/9.53 (until5(s143)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9508, 11907])).
% 13.80/9.53 tff(11909,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9502, 294, 11908, 11903, 11899])).
% 13.80/9.53 tff(11910,plain,(always3(s144) | (~until5(s142)) | xuntil6(s144)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11911,plain,
% 13.80/9.53 (always3(s144)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11910, 11895, 11896])).
% 13.80/9.53 tff(11912,plain,
% 13.80/9.53 (always3(s145)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9476, 11911])).
% 13.80/9.53 tff(11913,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s145)) | (~m_main_v_state(s145, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s145)) | (~m_main_v_state(s145, c_busy)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11914,plain,
% 13.80/9.53 (((~m_main_v_state(s145, c_busy)) | (~always3(s145))) <=> ((~always3(s145)) | (~m_main_v_state(s145, c_busy)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11915,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s145, c_busy)) | (~always3(s145)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s145)) | (~m_main_v_state(s145, c_busy))))),
% 13.80/9.53 inference(monotonicity,[status(thm)],[11914])).
% 13.80/9.53 tff(11916,plain,
% 13.80/9.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s145, c_busy)) | (~always3(s145)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s145)) | (~m_main_v_state(s145, c_busy)))),
% 13.80/9.53 inference(transitivity,[status(thm)],[11915, 11913])).
% 13.80/9.53 tff(11917,plain,
% 13.80/9.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s145, c_busy)) | (~always3(s145)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11918,plain,
% 13.80/9.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s145)) | (~m_main_v_state(s145, c_busy))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11917, 11916])).
% 13.80/9.53 tff(11919,plain,
% 13.80/9.53 (~m_main_v_state(s145, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11918, 85, 11912])).
% 13.80/9.53 tff(11920,assumption,(until5(s144)), introduced(assumption)).
% 13.80/9.53 tff(11921,plain,
% 13.80/9.53 (xuntil6(s144) | node4(s144)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9487, 294, 11920])).
% 13.80/9.53 tff(11922,plain,
% 13.80/9.53 (node4(s144)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11921, 11895])).
% 13.80/9.53 tff(11923,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s144) | (~node4(s144)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s144) | (~node4(s144)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11924,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s144) | (~node4(s144)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11925,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s144) | (~node4(s144))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11924, 11923])).
% 13.80/9.53 tff(11926,plain,
% 13.80/9.53 (m_main_v_request(s144)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11925, 21, 11922])).
% 13.80/9.53 tff(11927,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s144, s145)) | node2(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s144, s145)) | node2(s144, s145))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11928,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s144, s145)) | node2(s144, s145))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11929,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s144, s145)) | node2(s144, s145)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11928, 11927])).
% 13.80/9.53 tff(11930,plain,
% 13.80/9.53 (node2(s144, s145)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11929, 7, 9472])).
% 13.80/9.53 tff(11931,plain,
% 13.80/9.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11932,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11933,plain,
% 13.80/9.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11932, 11931])).
% 13.80/9.53 tff(11934,plain,
% 13.80/9.53 ((~m_main_v_state(s144, c_ready)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11933, 73, 11930])).
% 13.80/9.53 tff(11935,plain,
% 13.80/9.53 (~m_main_v_state(s144, c_ready)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11934, 11926, 11919])).
% 13.80/9.53 tff(11936,plain,
% 13.80/9.53 (~m_main_v_state(s144, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9198, 85, 11911])).
% 13.80/9.53 tff(11937,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11938,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11939,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11938, 11937])).
% 13.80/9.53 tff(11940,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11939, 102, 11936, 11935])).
% 13.80/9.53 tff(11941,plain,(xuntil6(s144) | (~until5(s144)) | (~until5(s142))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11942,plain,
% 13.80/9.53 (~until5(s144)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11941, 11896, 11895])).
% 13.80/9.53 tff(11943,plain,
% 13.80/9.53 (~xuntil6(s143)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9493, 11942])).
% 13.80/9.53 tff(11944,assumption,(node4(s142)), introduced(assumption)).
% 13.80/9.53 tff(11945,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s142) | (~node4(s142)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s142) | (~node4(s142)))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11946,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s142) | (~node4(s142)))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11947,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s142) | (~node4(s142))),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11946, 11945])).
% 13.80/9.53 tff(11948,plain,
% 13.80/9.53 (m_main_v_request(s142)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11947, 21, 11944])).
% 13.80/9.53 tff(11949,plain,
% 13.80/9.53 (always3(s142)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9517, 36, 11944])).
% 13.80/9.53 tff(11950,plain,
% 13.80/9.53 (always3(s143)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9513, 11949])).
% 13.80/9.53 tff(11951,plain,
% 13.80/9.53 (~m_main_v_state(s143, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9206, 85, 11950])).
% 13.80/9.53 tff(11952,plain,
% 13.80/9.53 (~m_main_v_state(s142, c_ready)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9249, 11951, 11948])).
% 13.80/9.53 tff(11953,plain,
% 13.80/9.53 (~m_main_v_state(s142, c_busy)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9279, 85, 11949])).
% 13.80/9.53 tff(11954,plain,
% 13.80/9.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready))),
% 13.80/9.53 inference(rewrite,[status(thm)],[])).
% 13.80/9.53 tff(11955,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready))),
% 13.80/9.53 inference(quant_inst,[status(thm)],[])).
% 13.80/9.53 tff(11956,plain,
% 13.80/9.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready)),
% 13.80/9.53 inference(modus_ponens,[status(thm)],[11955, 11954])).
% 13.80/9.53 tff(11957,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11956, 102, 11953, 11952])).
% 13.80/9.53 tff(11958,plain,(~node4(s142)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11959,plain,
% 13.80/9.53 (xuntil6(s142) | (~until5(s142))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9524, 294, 11958])).
% 13.80/9.53 tff(11960,plain,
% 13.80/9.53 (xuntil6(s142)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11959, 11896])).
% 13.80/9.53 tff(11961,plain,
% 13.80/9.53 (until5(s143)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9508, 11960])).
% 13.80/9.53 tff(11962,plain,
% 13.80/9.53 ($false),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9502, 294, 11961, 11943, 10385])).
% 13.80/9.53 tff(11963,plain,((~until5(s142)) | node4(s143) | xuntil6(s144)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.53 tff(11964,plain,
% 13.80/9.53 (xuntil6(s144)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11963, 11894, 10385])).
% 13.80/9.53 tff(11965,plain,
% 13.80/9.53 (until5(s145)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9467, 11964])).
% 13.80/9.53 tff(11966,assumption,(~always3(s147)), introduced(assumption)).
% 13.80/9.53 tff(11967,plain,
% 13.80/9.53 (~node4(s147)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9393, 36, 11966])).
% 13.80/9.53 tff(11968,assumption,(~xuntil6(s147)), introduced(assumption)).
% 13.80/9.53 tff(11969,plain,
% 13.80/9.53 (node4(s147) | (~until5(s147))),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9400, 294, 11968])).
% 13.80/9.53 tff(11970,plain,
% 13.80/9.53 (~until5(s147)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[11969, 11967])).
% 13.80/9.53 tff(11971,plain,
% 13.80/9.53 (~xuntil6(s146)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9409, 11970])).
% 13.80/9.53 tff(11972,plain,
% 13.80/9.53 (~always3(s146)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9418, 11966])).
% 13.80/9.53 tff(11973,plain,
% 13.80/9.53 (~always3(s145)),
% 13.80/9.53 inference(unit_resolution,[status(thm)],[9447, 11972])).
% 13.80/9.54 tff(11974,plain,
% 13.80/9.54 (~node4(s145)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9451, 36, 11973])).
% 13.80/9.54 tff(11975,assumption,(until5(s145)), introduced(assumption)).
% 13.80/9.54 tff(11976,plain,
% 13.80/9.54 (xuntil6(s145) | node4(s145)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9458, 294, 11975])).
% 13.80/9.54 tff(11977,plain,
% 13.80/9.54 (xuntil6(s145)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[11976, 11974])).
% 13.80/9.54 tff(11978,plain,
% 13.80/9.54 (until5(s146)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9438, 11977])).
% 13.80/9.54 tff(11979,assumption,(node4(s146)), introduced(assumption)).
% 13.80/9.54 tff(11980,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s146) | (~node4(s146)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s146) | (~node4(s146)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(11981,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s146) | (~node4(s146)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(11982,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s146) | (~node4(s146))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[11981, 11980])).
% 13.80/9.54 tff(11983,plain,
% 13.80/9.54 (m_main_v_request(s146)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[11982, 21, 11979])).
% 13.80/9.54 tff(11984,plain,
% 13.80/9.54 (always3(s146)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9422, 36, 11979])).
% 13.80/9.54 tff(11985,plain,
% 13.80/9.54 (always3(s147)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9418, 11984])).
% 13.80/9.54 tff(11986,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s147)) | (~m_main_v_state(s147, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s147)) | (~m_main_v_state(s147, c_busy)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(11987,plain,
% 13.80/9.54 (((~m_main_v_state(s147, c_busy)) | (~always3(s147))) <=> ((~always3(s147)) | (~m_main_v_state(s147, c_busy)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(11988,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s147, c_busy)) | (~always3(s147)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s147)) | (~m_main_v_state(s147, c_busy))))),
% 13.80/9.54 inference(monotonicity,[status(thm)],[11987])).
% 13.80/9.54 tff(11989,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s147, c_busy)) | (~always3(s147)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s147)) | (~m_main_v_state(s147, c_busy)))),
% 13.80/9.54 inference(transitivity,[status(thm)],[11988, 11986])).
% 13.80/9.54 tff(11990,plain,
% 13.80/9.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s147, c_busy)) | (~always3(s147)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(11991,plain,
% 13.80/9.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s147)) | (~m_main_v_state(s147, c_busy))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[11990, 11989])).
% 13.80/9.54 tff(11992,plain,
% 13.80/9.54 (~m_main_v_state(s147, c_busy)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[11991, 85, 11985])).
% 13.80/9.54 tff(11993,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s146, s147)) | node2(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s146, s147)) | node2(s146, s147))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(11994,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s146, s147)) | node2(s146, s147))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(11995,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s146, s147)) | node2(s146, s147)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[11994, 11993])).
% 13.80/9.54 tff(11996,plain,
% 13.80/9.54 (node2(s146, s147)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[11995, 7, 9414])).
% 13.80/9.54 tff(11997,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(11998,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(11999,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[11998, 11997])).
% 13.80/9.54 tff(12000,plain,
% 13.80/9.54 ((~m_main_v_state(s146, c_ready)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146))),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[11999, 73, 11996])).
% 13.80/9.54 tff(12001,plain,
% 13.80/9.54 (~m_main_v_state(s146, c_ready)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12000, 11992, 11983])).
% 13.80/9.54 tff(12002,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s146)) | (~m_main_v_state(s146, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s146)) | (~m_main_v_state(s146, c_busy)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12003,plain,
% 13.80/9.54 (((~m_main_v_state(s146, c_busy)) | (~always3(s146))) <=> ((~always3(s146)) | (~m_main_v_state(s146, c_busy)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12004,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s146, c_busy)) | (~always3(s146)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s146)) | (~m_main_v_state(s146, c_busy))))),
% 13.80/9.54 inference(monotonicity,[status(thm)],[12003])).
% 13.80/9.54 tff(12005,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s146, c_busy)) | (~always3(s146)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s146)) | (~m_main_v_state(s146, c_busy)))),
% 13.80/9.54 inference(transitivity,[status(thm)],[12004, 12002])).
% 13.80/9.54 tff(12006,plain,
% 13.80/9.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s146, c_busy)) | (~always3(s146)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12007,plain,
% 13.80/9.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s146)) | (~m_main_v_state(s146, c_busy))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12006, 12005])).
% 13.80/9.54 tff(12008,plain,
% 13.80/9.54 (~m_main_v_state(s146, c_busy)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12007, 85, 11984])).
% 13.80/9.54 tff(12009,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12010,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12011,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12010, 12009])).
% 13.80/9.54 tff(12012,plain,
% 13.80/9.54 ($false),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12011, 102, 12008, 12001])).
% 13.80/9.54 tff(12013,plain,(~node4(s146)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.54 tff(12014,plain,
% 13.80/9.54 (xuntil6(s146) | (~until5(s146))),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9429, 294, 12013])).
% 13.80/9.54 tff(12015,plain,
% 13.80/9.54 ($false),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12014, 11978, 11971])).
% 13.80/9.54 tff(12016,plain,(always3(s147) | (~until5(s145)) | xuntil6(s147)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.54 tff(12017,plain,
% 13.80/9.54 (always3(s147)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12016, 11965, 10384])).
% 13.80/9.54 tff(12018,plain,
% 13.80/9.54 (always3(s148)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9389, 12017])).
% 13.80/9.54 tff(12019,plain,
% 13.80/9.54 (~m_main_v_state(s148, c_busy)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[10375, 85, 12018])).
% 13.80/9.54 tff(12020,assumption,(~node4(s147)), introduced(assumption)).
% 13.80/9.54 tff(12021,plain,
% 13.80/9.54 (~until5(s147)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9400, 294, 10384, 12020])).
% 13.80/9.54 tff(12022,plain,
% 13.80/9.54 (~xuntil6(s146)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9409, 12021])).
% 13.80/9.54 tff(12023,plain,
% 13.80/9.54 (~until5(s146)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12014, 12022])).
% 13.80/9.54 tff(12024,plain,
% 13.80/9.54 (~xuntil6(s145)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9438, 12023])).
% 13.80/9.54 tff(12025,plain,
% 13.80/9.54 (xuntil6(s141)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9539, 294, 11891, 10386])).
% 13.80/9.54 tff(12026,plain,
% 13.80/9.54 (until5(s142)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9530, 12025])).
% 13.80/9.54 tff(12027,plain,
% 13.80/9.54 (xuntil6(s144)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[11963, 12026, 10385])).
% 13.80/9.54 tff(12028,plain,
% 13.80/9.54 (until5(s145)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9467, 12027])).
% 13.80/9.54 tff(12029,assumption,(node4(s145)), introduced(assumption)).
% 13.80/9.54 tff(12030,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s145) | (~node4(s145)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s145) | (~node4(s145)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12031,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s145) | (~node4(s145)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12032,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s145) | (~node4(s145))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12031, 12030])).
% 13.80/9.54 tff(12033,plain,
% 13.80/9.54 (m_main_v_request(s145)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12032, 21, 12029])).
% 13.80/9.54 tff(12034,plain,
% 13.80/9.54 (always3(s145)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9451, 36, 12029])).
% 13.80/9.54 tff(12035,plain,
% 13.80/9.54 (always3(s146)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9447, 12034])).
% 13.80/9.54 tff(12036,plain,
% 13.80/9.54 (~m_main_v_state(s146, c_busy)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12007, 85, 12035])).
% 13.80/9.54 tff(12037,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s145, s146)) | node2(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s145, s146)) | node2(s145, s146))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12038,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s145, s146)) | node2(s145, s146))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12039,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s145, s146)) | node2(s145, s146)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12038, 12037])).
% 13.80/9.54 tff(12040,plain,
% 13.80/9.54 (node2(s145, s146)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12039, 7, 9443])).
% 13.80/9.54 tff(12041,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12042,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12043,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12042, 12041])).
% 13.80/9.54 tff(12044,plain,
% 13.80/9.54 ((~m_main_v_state(s145, c_ready)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145))),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12043, 73, 12040])).
% 13.80/9.54 tff(12045,plain,
% 13.80/9.54 (~m_main_v_state(s145, c_ready)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12044, 12036, 12033])).
% 13.80/9.54 tff(12046,plain,
% 13.80/9.54 (~m_main_v_state(s145, c_busy)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[11918, 85, 12034])).
% 13.80/9.54 tff(12047,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12048,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12049,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12048, 12047])).
% 13.80/9.54 tff(12050,plain,
% 13.80/9.54 ($false),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12049, 102, 12046, 12045])).
% 13.80/9.54 tff(12051,plain,(~node4(s145)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.54 tff(12052,plain,
% 13.80/9.54 (xuntil6(s145) | (~until5(s145))),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9458, 294, 12051])).
% 13.80/9.54 tff(12053,plain,
% 13.80/9.54 ($false),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12052, 12028, 12024])).
% 13.80/9.54 tff(12054,plain,((~until5(s116)) | node4(s143) | node4(s141) | node4(s147) | xuntil6(s150)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.54 tff(12055,plain,
% 13.80/9.54 (node4(s147)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12054, 10386, 9303, 10385, 9302])).
% 13.80/9.54 tff(12056,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s147) | (~node4(s147)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s147) | (~node4(s147)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12057,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s147) | (~node4(s147)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12058,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s147) | (~node4(s147))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12057, 12056])).
% 13.80/9.54 tff(12059,plain,
% 13.80/9.54 (m_main_v_request(s147)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12058, 21, 12055])).
% 13.80/9.54 tff(12060,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s147, s148)) | node2(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s147, s148)) | node2(s147, s148))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12061,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s147, s148)) | node2(s147, s148))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12062,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s147, s148)) | node2(s147, s148)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12061, 12060])).
% 13.80/9.54 tff(12063,plain,
% 13.80/9.54 (node2(s147, s148)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12062, 7, 9385])).
% 13.80/9.54 tff(12064,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12065,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12066,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12065, 12064])).
% 13.80/9.54 tff(12067,plain,
% 13.80/9.54 ((~m_main_v_state(s147, c_ready)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147))),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12066, 73, 12063])).
% 13.80/9.54 tff(12068,plain,
% 13.80/9.54 (~m_main_v_state(s147, c_ready)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12067, 12059, 12019])).
% 13.80/9.54 tff(12069,plain,
% 13.80/9.54 (~m_main_v_state(s147, c_busy)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[11991, 85, 12017])).
% 13.80/9.54 tff(12070,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12071,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12072,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12071, 12070])).
% 13.80/9.54 tff(12073,plain,
% 13.80/9.54 ($false),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12072, 102, 12069, 12068])).
% 13.80/9.54 tff(12074,plain,(node4(s141) | node4(s143) | (~until5(s116)) | xuntil6(s150)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.54 tff(12075,plain,
% 13.80/9.54 (node4(s143) | (~until5(s116)) | xuntil6(s150)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12074, 9301])).
% 13.80/9.54 tff(12076,plain,
% 13.80/9.54 ((~until5(s116)) | xuntil6(s150)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12075, 9252])).
% 13.80/9.54 tff(12077,plain,
% 13.80/9.54 (xuntil6(s150)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12076, 9171])).
% 13.80/9.54 tff(12078,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12079,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12080,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 13.80/9.54 tff(12081,plain,
% 13.80/9.54 ((~xuntil6(s150)) | until5(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12080, 10318, 312])).
% 13.80/9.54 tff(12082,plain,
% 13.80/9.54 (until5(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12081, 12077])).
% 13.80/9.54 tff(12083,assumption,(~xuntil6(s151)), introduced(assumption)).
% 13.80/9.54 tff(12084,assumption,(~always3(s151)), introduced(assumption)).
% 13.80/9.54 tff(12085,plain,
% 13.80/9.54 (~always3(s150)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[10326, 12084])).
% 13.80/9.54 tff(12086,plain,
% 13.80/9.54 (~always3(s149)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9315, 12085])).
% 13.80/9.54 tff(12087,plain,
% 13.80/9.54 (~always3(s148)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9360, 12086])).
% 13.80/9.54 tff(12088,plain,
% 13.80/9.54 (~always3(s147)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9389, 12087])).
% 13.80/9.54 tff(12089,plain,
% 13.80/9.54 (~always3(s146)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9418, 12088])).
% 13.80/9.54 tff(12090,plain,
% 13.80/9.54 (~always3(s145)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9447, 12089])).
% 13.80/9.54 tff(12091,plain,
% 13.80/9.54 (~always3(s144)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9476, 12090])).
% 13.80/9.54 tff(12092,plain,
% 13.80/9.54 (~always3(s143)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9191, 12091])).
% 13.80/9.54 tff(12093,plain,
% 13.80/9.54 (~always3(s142)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9513, 12092])).
% 13.80/9.54 tff(12094,plain,
% 13.80/9.54 (~always3(s141)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9272, 12093])).
% 13.80/9.54 tff(12095,plain,
% 13.80/9.54 (~always3(s140)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9557, 12094])).
% 13.80/9.54 tff(12096,plain,
% 13.80/9.54 (~always3(s139)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9586, 12095])).
% 13.80/9.54 tff(12097,plain,
% 13.80/9.54 (~always3(s138)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9615, 12096])).
% 13.80/9.54 tff(12098,plain,
% 13.80/9.54 (~always3(s137)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9644, 12097])).
% 13.80/9.54 tff(12099,plain,
% 13.80/9.54 (~always3(s136)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9673, 12098])).
% 13.80/9.54 tff(12100,plain,
% 13.80/9.54 (~always3(s135)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9702, 12099])).
% 13.80/9.54 tff(12101,plain,
% 13.80/9.54 (~always3(s134)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9731, 12100])).
% 13.80/9.54 tff(12102,plain,
% 13.80/9.54 (~always3(s133)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9760, 12101])).
% 13.80/9.54 tff(12103,plain,
% 13.80/9.54 (~always3(s132)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9772, 12102])).
% 13.80/9.54 tff(12104,plain,
% 13.80/9.54 (~always3(s131)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9784, 12103])).
% 13.80/9.54 tff(12105,plain,
% 13.80/9.54 (~always3(s130)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9796, 12104])).
% 13.80/9.54 tff(12106,plain,
% 13.80/9.54 (~always3(s129)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9808, 12105])).
% 13.80/9.54 tff(12107,plain,
% 13.80/9.54 (~always3(s128)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9820, 12106])).
% 13.80/9.54 tff(12108,plain,
% 13.80/9.54 (~always3(s127)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9832, 12107])).
% 13.80/9.54 tff(12109,plain,
% 13.80/9.54 (~always3(s126)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9844, 12108])).
% 13.80/9.54 tff(12110,plain,
% 13.80/9.54 (~always3(s125)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9856, 12109])).
% 13.80/9.54 tff(12111,plain,
% 13.80/9.54 (~always3(s124)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9868, 12110])).
% 13.80/9.54 tff(12112,plain,
% 13.80/9.54 (~always3(s123)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9880, 12111])).
% 13.80/9.54 tff(12113,plain,
% 13.80/9.54 (~always3(s122)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9892, 12112])).
% 13.80/9.54 tff(12114,plain,
% 13.80/9.54 (~always3(s121)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9904, 12113])).
% 13.80/9.54 tff(12115,plain,
% 13.80/9.54 (~always3(s120)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9916, 12114])).
% 13.80/9.54 tff(12116,plain,
% 13.80/9.54 (~always3(s119)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9928, 12115])).
% 13.80/9.54 tff(12117,plain,
% 13.80/9.54 (~always3(s118)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9940, 12116])).
% 13.80/9.54 tff(12118,plain,
% 13.80/9.54 (~always3(s117)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9952, 12117])).
% 13.80/9.54 tff(12119,plain,
% 13.80/9.54 (~always3(s116)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9968, 12118])).
% 13.80/9.54 tff(12120,plain,
% 13.80/9.54 (~always3(s115)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[8896, 12119])).
% 13.80/9.54 tff(12121,plain,
% 13.80/9.54 (xuntil6(s115)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9162, 12120])).
% 13.80/9.54 tff(12122,plain,
% 13.80/9.54 (until5(s116)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[9170, 12121])).
% 13.80/9.54 tff(12123,plain,
% 13.80/9.54 (xuntil6(s150)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[10266, 12122, 12085])).
% 13.80/9.54 tff(12124,plain,
% 13.80/9.54 (until5(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12081, 12123])).
% 13.80/9.54 tff(12125,plain,
% 13.80/9.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s151) | node4(s151) | (~until5(s151)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12126,plain,
% 13.80/9.54 ((node4(s151) | (~until5(s151)) | xuntil6(s151)) <=> (xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12127,plain,
% 13.80/9.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s151) | (~until5(s151)) | xuntil6(s151))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s151) | node4(s151) | (~until5(s151))))),
% 13.80/9.54 inference(monotonicity,[status(thm)],[12126])).
% 13.80/9.54 tff(12128,plain,
% 13.80/9.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s151) | (~until5(s151)) | xuntil6(s151))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 13.80/9.54 inference(transitivity,[status(thm)],[12127, 12125])).
% 13.80/9.54 tff(12129,plain,
% 13.80/9.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s151) | (~until5(s151)) | xuntil6(s151))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12130,plain,
% 13.80/9.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s151) | node4(s151) | (~until5(s151))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12129, 12128])).
% 13.80/9.54 tff(12131,plain,
% 13.80/9.54 (node4(s151) | (~until5(s151))),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12130, 294, 12083])).
% 13.80/9.54 tff(12132,plain,
% 13.80/9.54 (node4(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12131, 12124])).
% 13.80/9.54 tff(12133,plain,
% 13.80/9.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s151) | (~node4(s151)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s151) | (~node4(s151)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12134,plain,
% 13.80/9.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s151) | (~node4(s151)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12135,plain,
% 13.80/9.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s151) | (~node4(s151))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12134, 12133])).
% 13.80/9.54 tff(12136,plain,
% 13.80/9.54 ($false),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12135, 36, 12084, 12132])).
% 13.80/9.54 tff(12137,plain,(always3(s151) | xuntil6(s151)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.54 tff(12138,plain,
% 13.80/9.54 (always3(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12137, 12083])).
% 13.80/9.54 tff(12139,plain,
% 13.80/9.54 (succ(s151, s152) <=> succ(s151, s152)),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12140,axiom,(succ(s151, s152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound152')).
% 13.80/9.54 tff(12141,plain,
% 13.80/9.54 (succ(s151, s152)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12140, 12139])).
% 13.80/9.54 tff(12142,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12143,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12144,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 13.80/9.54 tff(12145,plain,
% 13.80/9.54 (trans(s151, s152)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12144, 12141, 52])).
% 13.80/9.54 tff(12146,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s151, s152)) | (~always3(s151)) | always3(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s151, s152)) | (~always3(s151)) | always3(s152))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12147,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s151, s152)) | (~always3(s151)) | always3(s152))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12148,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s151, s152)) | (~always3(s151)) | always3(s152)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 13.80/9.54 tff(12149,plain,
% 13.80/9.54 ((~always3(s151)) | always3(s152)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12148, 125, 12145])).
% 13.80/9.54 tff(12150,plain,
% 13.80/9.54 (always3(s152)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12149, 12138])).
% 13.80/9.54 tff(12151,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s152)) | (~m_main_v_state(s152, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s152)) | (~m_main_v_state(s152, c_busy)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12152,plain,
% 13.80/9.54 (((~m_main_v_state(s152, c_busy)) | (~always3(s152))) <=> ((~always3(s152)) | (~m_main_v_state(s152, c_busy)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12153,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s152, c_busy)) | (~always3(s152)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s152)) | (~m_main_v_state(s152, c_busy))))),
% 13.80/9.54 inference(monotonicity,[status(thm)],[12152])).
% 13.80/9.54 tff(12154,plain,
% 13.80/9.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s152, c_busy)) | (~always3(s152)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s152)) | (~m_main_v_state(s152, c_busy)))),
% 13.80/9.54 inference(transitivity,[status(thm)],[12153, 12151])).
% 13.80/9.54 tff(12155,plain,
% 13.80/9.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s152, c_busy)) | (~always3(s152)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12156,plain,
% 13.80/9.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s152)) | (~m_main_v_state(s152, c_busy))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 13.80/9.54 tff(12157,plain,
% 13.80/9.54 (~m_main_v_state(s152, c_busy)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12156, 85, 12150])).
% 13.80/9.54 tff(12158,assumption,(until5(s151)), introduced(assumption)).
% 13.80/9.54 tff(12159,plain,
% 13.80/9.54 (xuntil6(s151) | node4(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12130, 294, 12158])).
% 13.80/9.54 tff(12160,plain,
% 13.80/9.54 (node4(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12159, 12083])).
% 13.80/9.54 tff(12161,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s151) | (~node4(s151)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s151) | (~node4(s151)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12162,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s151) | (~node4(s151)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12163,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s151) | (~node4(s151))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12162, 12161])).
% 13.80/9.54 tff(12164,plain,
% 13.80/9.54 (m_main_v_request(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12163, 21, 12160])).
% 13.80/9.54 tff(12165,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s151, s152)) | node2(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s151, s152)) | node2(s151, s152))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12166,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s151, s152)) | node2(s151, s152))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12167,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s151, s152)) | node2(s151, s152)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12166, 12165])).
% 13.80/9.54 tff(12168,plain,
% 13.80/9.54 (node2(s151, s152)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12167, 7, 12145])).
% 13.80/9.54 tff(12169,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12170,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12171,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12170, 12169])).
% 13.80/9.54 tff(12172,plain,
% 13.80/9.54 ((~m_main_v_state(s151, c_ready)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151))),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12171, 73, 12168])).
% 13.80/9.54 tff(12173,plain,
% 13.80/9.54 (~m_main_v_state(s151, c_ready)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12172, 12164, 12157])).
% 13.80/9.54 tff(12174,plain,
% 13.80/9.54 (~m_main_v_state(s151, c_busy)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[10333, 85, 12138])).
% 13.80/9.54 tff(12175,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12176,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12177,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12176, 12175])).
% 13.80/9.54 tff(12178,plain,
% 13.80/9.54 ($false),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12177, 102, 12174, 12173])).
% 13.80/9.54 tff(12179,plain,(xuntil6(s151) | (~until5(s151))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.54 tff(12180,plain,
% 13.80/9.54 (xuntil6(s151)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12179, 12082])).
% 13.80/9.54 tff(12181,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12182,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12183,plain,
% 13.80/9.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12182, 12181])).
% 13.80/9.54 tff(12184,plain,
% 13.80/9.54 ((~xuntil6(s151)) | until5(s152)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12183, 12141, 312])).
% 13.80/9.54 tff(12185,plain,
% 13.80/9.54 (until5(s152)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12184, 12180])).
% 13.80/9.54 tff(12186,assumption,(until5(s152)), introduced(assumption)).
% 13.80/9.54 tff(12187,assumption,(node4(s152)), introduced(assumption)).
% 13.80/9.54 tff(12188,plain,
% 13.80/9.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s152) | (~node4(s152)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s152) | (~node4(s152)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12189,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s152) | (~node4(s152)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12190,plain,
% 13.80/9.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s152) | (~node4(s152))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12189, 12188])).
% 13.80/9.54 tff(12191,plain,
% 13.80/9.54 (m_main_v_request(s152)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12190, 21, 12187])).
% 13.80/9.54 tff(12192,plain,
% 13.80/9.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s152) | (~node4(s152)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s152) | (~node4(s152)))),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12193,plain,
% 13.80/9.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s152) | (~node4(s152)))),
% 13.80/9.54 inference(quant_inst,[status(thm)],[])).
% 13.80/9.54 tff(12194,plain,
% 13.80/9.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s152) | (~node4(s152))),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12193, 12192])).
% 13.80/9.54 tff(12195,plain,
% 13.80/9.54 (always3(s152)),
% 13.80/9.54 inference(unit_resolution,[status(thm)],[12194, 36, 12187])).
% 13.80/9.54 tff(12196,plain,
% 13.80/9.54 (succ(s152, s153) <=> succ(s152, s153)),
% 13.80/9.54 inference(rewrite,[status(thm)],[])).
% 13.80/9.54 tff(12197,axiom,(succ(s152, s153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound153')).
% 13.80/9.54 tff(12198,plain,
% 13.80/9.54 (succ(s152, s153)),
% 13.80/9.54 inference(modus_ponens,[status(thm)],[12197, 12196])).
% 13.80/9.54 tff(12199,plain,
% 13.80/9.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12200,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12201,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12200, 12199])).
% 13.80/9.55 tff(12202,plain,
% 13.80/9.55 (trans(s152, s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12201, 12198, 52])).
% 13.80/9.55 tff(12203,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s152, s153)) | (~always3(s152)) | always3(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s152, s153)) | (~always3(s152)) | always3(s153))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12204,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s152, s153)) | (~always3(s152)) | always3(s153))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12205,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s152, s153)) | (~always3(s152)) | always3(s153)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 13.80/9.55 tff(12206,plain,
% 13.80/9.55 ((~always3(s152)) | always3(s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12205, 125, 12202])).
% 13.80/9.55 tff(12207,plain,
% 13.80/9.55 (always3(s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12206, 12195])).
% 13.80/9.55 tff(12208,plain,
% 13.80/9.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s153)) | (~m_main_v_state(s153, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s153)) | (~m_main_v_state(s153, c_busy)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12209,plain,
% 13.80/9.55 (((~m_main_v_state(s153, c_busy)) | (~always3(s153))) <=> ((~always3(s153)) | (~m_main_v_state(s153, c_busy)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12210,plain,
% 13.80/9.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s153, c_busy)) | (~always3(s153)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s153)) | (~m_main_v_state(s153, c_busy))))),
% 13.80/9.55 inference(monotonicity,[status(thm)],[12209])).
% 13.80/9.55 tff(12211,plain,
% 13.80/9.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s153, c_busy)) | (~always3(s153)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s153)) | (~m_main_v_state(s153, c_busy)))),
% 13.80/9.55 inference(transitivity,[status(thm)],[12210, 12208])).
% 13.80/9.55 tff(12212,plain,
% 13.80/9.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s153, c_busy)) | (~always3(s153)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12213,plain,
% 13.80/9.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s153)) | (~m_main_v_state(s153, c_busy))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12212, 12211])).
% 13.80/9.55 tff(12214,plain,
% 13.80/9.55 (~m_main_v_state(s153, c_busy)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12213, 85, 12207])).
% 13.80/9.55 tff(12215,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s152, s153)) | node2(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s152, s153)) | node2(s152, s153))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12216,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s152, s153)) | node2(s152, s153))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12217,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s152, s153)) | node2(s152, s153)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12216, 12215])).
% 13.80/9.55 tff(12218,plain,
% 13.80/9.55 (node2(s152, s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12217, 7, 12202])).
% 13.80/9.55 tff(12219,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12220,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12221,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12220, 12219])).
% 13.80/9.55 tff(12222,plain,
% 13.80/9.55 ((~m_main_v_state(s152, c_ready)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152))),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12221, 73, 12218])).
% 13.80/9.55 tff(12223,plain,
% 13.80/9.55 (~m_main_v_state(s152, c_ready)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12222, 12214, 12191])).
% 13.80/9.55 tff(12224,plain,
% 13.80/9.55 (~m_main_v_state(s152, c_busy)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12156, 85, 12195])).
% 13.80/9.55 tff(12225,plain,
% 13.80/9.55 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12226,plain,
% 13.80/9.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12227,plain,
% 13.80/9.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 13.80/9.55 tff(12228,plain,
% 13.80/9.55 ($false),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12227, 102, 12224, 12223])).
% 13.80/9.55 tff(12229,plain,(~node4(s152)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.55 tff(12230,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s152) | node4(s152) | (~until5(s152)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s152) | node4(s152) | (~until5(s152)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12231,plain,
% 13.80/9.55 ((node4(s152) | (~until5(s152)) | xuntil6(s152)) <=> (xuntil6(s152) | node4(s152) | (~until5(s152)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12232,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s152) | (~until5(s152)) | xuntil6(s152))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s152) | node4(s152) | (~until5(s152))))),
% 13.80/9.55 inference(monotonicity,[status(thm)],[12231])).
% 13.80/9.55 tff(12233,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s152) | (~until5(s152)) | xuntil6(s152))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s152) | node4(s152) | (~until5(s152)))),
% 13.80/9.55 inference(transitivity,[status(thm)],[12232, 12230])).
% 13.80/9.55 tff(12234,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s152) | (~until5(s152)) | xuntil6(s152))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12235,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s152) | node4(s152) | (~until5(s152))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12234, 12233])).
% 13.80/9.55 tff(12236,plain,
% 13.80/9.55 (xuntil6(s152) | (~until5(s152))),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12235, 294, 12229])).
% 13.80/9.55 tff(12237,plain,
% 13.80/9.55 (xuntil6(s152)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12236, 12186])).
% 13.80/9.55 tff(12238,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12239,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12240,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12239, 12238])).
% 13.80/9.55 tff(12241,plain,
% 13.80/9.55 ((~xuntil6(s152)) | until5(s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12240, 12198, 312])).
% 13.80/9.55 tff(12242,plain,
% 13.80/9.55 (until5(s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12241, 12237])).
% 13.80/9.55 tff(12243,assumption,(node4(s153)), introduced(assumption)).
% 13.80/9.55 tff(12244,plain,
% 13.80/9.55 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s153) | (~node4(s153)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s153) | (~node4(s153)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12245,plain,
% 13.80/9.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s153) | (~node4(s153)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12246,plain,
% 13.80/9.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s153) | (~node4(s153))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12245, 12244])).
% 13.80/9.55 tff(12247,plain,
% 13.80/9.55 (m_main_v_request(s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12246, 21, 12243])).
% 13.80/9.55 tff(12248,plain,
% 13.80/9.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s153) | (~node4(s153)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s153) | (~node4(s153)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12249,plain,
% 13.80/9.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s153) | (~node4(s153)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12250,plain,
% 13.80/9.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s153) | (~node4(s153))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 13.80/9.55 tff(12251,plain,
% 13.80/9.55 (always3(s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12250, 36, 12243])).
% 13.80/9.55 tff(12252,plain,
% 13.80/9.55 (succ(s153, s154) <=> succ(s153, s154)),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12253,axiom,(succ(s153, s154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound154')).
% 13.80/9.55 tff(12254,plain,
% 13.80/9.55 (succ(s153, s154)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12253, 12252])).
% 13.80/9.55 tff(12255,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12256,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12257,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12256, 12255])).
% 13.80/9.55 tff(12258,plain,
% 13.80/9.55 (trans(s153, s154)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12257, 12254, 52])).
% 13.80/9.55 tff(12259,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s153, s154)) | (~always3(s153)) | always3(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s153, s154)) | (~always3(s153)) | always3(s154))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12260,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s153, s154)) | (~always3(s153)) | always3(s154))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12261,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s153, s154)) | (~always3(s153)) | always3(s154)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12260, 12259])).
% 13.80/9.55 tff(12262,plain,
% 13.80/9.55 ((~always3(s153)) | always3(s154)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12261, 125, 12258])).
% 13.80/9.55 tff(12263,plain,
% 13.80/9.55 (always3(s154)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12262, 12251])).
% 13.80/9.55 tff(12264,plain,
% 13.80/9.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s154)) | (~m_main_v_state(s154, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s154)) | (~m_main_v_state(s154, c_busy)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12265,plain,
% 13.80/9.55 (((~m_main_v_state(s154, c_busy)) | (~always3(s154))) <=> ((~always3(s154)) | (~m_main_v_state(s154, c_busy)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12266,plain,
% 13.80/9.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s154, c_busy)) | (~always3(s154)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s154)) | (~m_main_v_state(s154, c_busy))))),
% 13.80/9.55 inference(monotonicity,[status(thm)],[12265])).
% 13.80/9.55 tff(12267,plain,
% 13.80/9.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s154, c_busy)) | (~always3(s154)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s154)) | (~m_main_v_state(s154, c_busy)))),
% 13.80/9.55 inference(transitivity,[status(thm)],[12266, 12264])).
% 13.80/9.55 tff(12268,plain,
% 13.80/9.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s154, c_busy)) | (~always3(s154)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12269,plain,
% 13.80/9.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s154)) | (~m_main_v_state(s154, c_busy))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12268, 12267])).
% 13.80/9.55 tff(12270,plain,
% 13.80/9.55 (~m_main_v_state(s154, c_busy)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12269, 85, 12263])).
% 13.80/9.55 tff(12271,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s153, s154)) | node2(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s153, s154)) | node2(s153, s154))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12272,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s153, s154)) | node2(s153, s154))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12273,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s153, s154)) | node2(s153, s154)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12272, 12271])).
% 13.80/9.55 tff(12274,plain,
% 13.80/9.55 (node2(s153, s154)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12273, 7, 12258])).
% 13.80/9.55 tff(12275,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12276,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12277,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12276, 12275])).
% 13.80/9.55 tff(12278,plain,
% 13.80/9.55 ((~m_main_v_state(s153, c_ready)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153))),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12277, 73, 12274])).
% 13.80/9.55 tff(12279,plain,
% 13.80/9.55 (~m_main_v_state(s153, c_ready)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12278, 12270, 12247])).
% 13.80/9.55 tff(12280,plain,
% 13.80/9.55 (~m_main_v_state(s153, c_busy)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12213, 85, 12251])).
% 13.80/9.55 tff(12281,plain,
% 13.80/9.55 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12282,plain,
% 13.80/9.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12283,plain,
% 13.80/9.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12282, 12281])).
% 13.80/9.55 tff(12284,plain,
% 13.80/9.55 ($false),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12283, 102, 12280, 12279])).
% 13.80/9.55 tff(12285,plain,(~node4(s153)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.55 tff(12286,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s153) | node4(s153) | (~until5(s153)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s153) | node4(s153) | (~until5(s153)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12287,plain,
% 13.80/9.55 ((node4(s153) | (~until5(s153)) | xuntil6(s153)) <=> (xuntil6(s153) | node4(s153) | (~until5(s153)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12288,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s153) | (~until5(s153)) | xuntil6(s153))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s153) | node4(s153) | (~until5(s153))))),
% 13.80/9.55 inference(monotonicity,[status(thm)],[12287])).
% 13.80/9.55 tff(12289,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s153) | (~until5(s153)) | xuntil6(s153))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s153) | node4(s153) | (~until5(s153)))),
% 13.80/9.55 inference(transitivity,[status(thm)],[12288, 12286])).
% 13.80/9.55 tff(12290,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s153) | (~until5(s153)) | xuntil6(s153))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12291,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s153) | node4(s153) | (~until5(s153))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12290, 12289])).
% 13.80/9.55 tff(12292,plain,
% 13.80/9.55 (xuntil6(s153) | (~until5(s153))),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12291, 294, 12285])).
% 13.80/9.55 tff(12293,plain,
% 13.80/9.55 (xuntil6(s153)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12292, 12242])).
% 13.80/9.55 tff(12294,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12295,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12296,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12295, 12294])).
% 13.80/9.55 tff(12297,plain,
% 13.80/9.55 ((~xuntil6(s153)) | until5(s154)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12296, 12254, 312])).
% 13.80/9.55 tff(12298,plain,
% 13.80/9.55 (until5(s154)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12297, 12293])).
% 13.80/9.55 tff(12299,assumption,(~xuntil6(s161)), introduced(assumption)).
% 13.80/9.55 tff(12300,assumption,(~always3(s161)), introduced(assumption)).
% 13.80/9.55 tff(12301,plain,
% 13.80/9.55 (succ(s160, s161) <=> succ(s160, s161)),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12302,axiom,(succ(s160, s161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound161')).
% 13.80/9.55 tff(12303,plain,
% 13.80/9.55 (succ(s160, s161)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 13.80/9.55 tff(12304,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12305,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12306,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12305, 12304])).
% 13.80/9.55 tff(12307,plain,
% 13.80/9.55 (trans(s160, s161)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12306, 12303, 52])).
% 13.80/9.55 tff(12308,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s160, s161)) | (~always3(s160)) | always3(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s160, s161)) | (~always3(s160)) | always3(s161))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12309,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s160, s161)) | (~always3(s160)) | always3(s161))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12310,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s160, s161)) | (~always3(s160)) | always3(s161)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12309, 12308])).
% 13.80/9.55 tff(12311,plain,
% 13.80/9.55 ((~always3(s160)) | always3(s161)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12310, 125, 12307])).
% 13.80/9.55 tff(12312,plain,
% 13.80/9.55 (~always3(s160)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12311, 12300])).
% 13.80/9.55 tff(12313,plain,
% 13.80/9.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12314,plain,
% 13.80/9.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12315,plain,
% 13.80/9.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12314, 12313])).
% 13.80/9.55 tff(12316,plain,
% 13.80/9.55 (~node4(s160)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12315, 36, 12312])).
% 13.80/9.55 tff(12317,plain,
% 13.80/9.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12318,plain,
% 13.80/9.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12319,plain,
% 13.80/9.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12318, 12317])).
% 13.80/9.55 tff(12320,plain,
% 13.80/9.55 (~node4(s161)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12319, 36, 12300])).
% 13.80/9.55 tff(12321,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s161) | node4(s161) | (~until5(s161)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12322,plain,
% 13.80/9.55 ((node4(s161) | (~until5(s161)) | xuntil6(s161)) <=> (xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12323,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s161) | node4(s161) | (~until5(s161))))),
% 13.80/9.55 inference(monotonicity,[status(thm)],[12322])).
% 13.80/9.55 tff(12324,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 13.80/9.55 inference(transitivity,[status(thm)],[12323, 12321])).
% 13.80/9.55 tff(12325,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12326,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12325, 12324])).
% 13.80/9.55 tff(12327,plain,
% 13.80/9.55 (node4(s161) | (~until5(s161))),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12326, 294, 12299])).
% 13.80/9.55 tff(12328,plain,
% 13.80/9.55 (~until5(s161)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12327, 12320])).
% 13.80/9.55 tff(12329,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12330,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12331,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 13.80/9.55 tff(12332,plain,
% 13.80/9.55 ((~xuntil6(s160)) | until5(s161)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12331, 12303, 312])).
% 13.80/9.55 tff(12333,plain,
% 13.80/9.55 (~xuntil6(s160)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12332, 12328])).
% 13.80/9.55 tff(12334,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s160) | node4(s160) | (~until5(s160)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12335,plain,
% 13.80/9.55 ((node4(s160) | (~until5(s160)) | xuntil6(s160)) <=> (xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12336,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s160) | node4(s160) | (~until5(s160))))),
% 13.80/9.55 inference(monotonicity,[status(thm)],[12335])).
% 13.80/9.55 tff(12337,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 13.80/9.55 inference(transitivity,[status(thm)],[12336, 12334])).
% 13.80/9.55 tff(12338,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12339,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12338, 12337])).
% 13.80/9.55 tff(12340,plain,
% 13.80/9.55 (~until5(s160)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12339, 294, 12333, 12316])).
% 13.80/9.55 tff(12341,plain,
% 13.80/9.55 (succ(s159, s160) <=> succ(s159, s160)),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12342,axiom,(succ(s159, s160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound160')).
% 13.80/9.55 tff(12343,plain,
% 13.80/9.55 (succ(s159, s160)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 13.80/9.55 tff(12344,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12345,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12346,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12345, 12344])).
% 13.80/9.55 tff(12347,plain,
% 13.80/9.55 ((~xuntil6(s159)) | until5(s160)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12346, 12343, 312])).
% 13.80/9.55 tff(12348,plain,
% 13.80/9.55 (~xuntil6(s159)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12347, 12340])).
% 13.80/9.55 tff(12349,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12350,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12351,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12350, 12349])).
% 13.80/9.55 tff(12352,plain,
% 13.80/9.55 (trans(s159, s160)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12351, 12343, 52])).
% 13.80/9.55 tff(12353,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s159, s160)) | (~always3(s159)) | always3(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s159, s160)) | (~always3(s159)) | always3(s160))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12354,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s159, s160)) | (~always3(s159)) | always3(s160))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12355,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s159, s160)) | (~always3(s159)) | always3(s160)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12354, 12353])).
% 13.80/9.55 tff(12356,plain,
% 13.80/9.55 ((~always3(s159)) | always3(s160)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12355, 125, 12352])).
% 13.80/9.55 tff(12357,plain,
% 13.80/9.55 (~always3(s159)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12356, 12312])).
% 13.80/9.55 tff(12358,plain,
% 13.80/9.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12359,plain,
% 13.80/9.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12360,plain,
% 13.80/9.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12359, 12358])).
% 13.80/9.55 tff(12361,plain,
% 13.80/9.55 (~node4(s159)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12360, 36, 12357])).
% 13.80/9.55 tff(12362,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s159) | node4(s159) | (~until5(s159)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12363,plain,
% 13.80/9.55 ((node4(s159) | (~until5(s159)) | xuntil6(s159)) <=> (xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12364,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s159) | (~until5(s159)) | xuntil6(s159))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s159) | node4(s159) | (~until5(s159))))),
% 13.80/9.55 inference(monotonicity,[status(thm)],[12363])).
% 13.80/9.55 tff(12365,plain,
% 13.80/9.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s159) | (~until5(s159)) | xuntil6(s159))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 13.80/9.55 inference(transitivity,[status(thm)],[12364, 12362])).
% 13.80/9.55 tff(12366,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s159) | (~until5(s159)) | xuntil6(s159))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12367,plain,
% 13.80/9.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s159) | node4(s159) | (~until5(s159))),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12366, 12365])).
% 13.80/9.55 tff(12368,plain,
% 13.80/9.55 (xuntil6(s159) | (~until5(s159))),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12367, 294, 12361])).
% 13.80/9.55 tff(12369,plain,
% 13.80/9.55 (~until5(s159)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12368, 12348])).
% 13.80/9.55 tff(12370,plain,
% 13.80/9.55 (succ(s158, s159) <=> succ(s158, s159)),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12371,axiom,(succ(s158, s159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound159')).
% 13.80/9.55 tff(12372,plain,
% 13.80/9.55 (succ(s158, s159)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12371, 12370])).
% 13.80/9.55 tff(12373,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12374,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12375,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12374, 12373])).
% 13.80/9.55 tff(12376,plain,
% 13.80/9.55 ((~xuntil6(s158)) | until5(s159)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12375, 12372, 312])).
% 13.80/9.55 tff(12377,plain,
% 13.80/9.55 (~xuntil6(s158)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12376, 12369])).
% 13.80/9.55 tff(12378,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12379,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 13.80/9.55 inference(quant_inst,[status(thm)],[])).
% 13.80/9.55 tff(12380,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 13.80/9.55 inference(modus_ponens,[status(thm)],[12379, 12378])).
% 13.80/9.55 tff(12381,plain,
% 13.80/9.55 (trans(s158, s159)),
% 13.80/9.55 inference(unit_resolution,[status(thm)],[12380, 12372, 52])).
% 13.80/9.55 tff(12382,plain,
% 13.80/9.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s158, s159)) | (~always3(s158)) | always3(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s158, s159)) | (~always3(s158)) | always3(s159))),
% 13.80/9.55 inference(rewrite,[status(thm)],[])).
% 13.80/9.55 tff(12383,plain,
% 13.80/9.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s158, s159)) | (~always3(s158)) | always3(s159))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12384,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s158, s159)) | (~always3(s158)) | always3(s159)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 13.80/9.56 tff(12385,plain,
% 13.80/9.56 ((~always3(s158)) | always3(s159)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12384, 125, 12381])).
% 13.80/9.56 tff(12386,plain,
% 13.80/9.56 (~always3(s158)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12385, 12357])).
% 13.80/9.56 tff(12387,plain,
% 13.80/9.56 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12388,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12389,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 13.80/9.56 tff(12390,plain,
% 13.80/9.56 (~node4(s158)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12389, 36, 12386])).
% 13.80/9.56 tff(12391,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s158) | node4(s158) | (~until5(s158)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12392,plain,
% 13.80/9.56 ((node4(s158) | (~until5(s158)) | xuntil6(s158)) <=> (xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12393,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s158) | (~until5(s158)) | xuntil6(s158))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s158) | node4(s158) | (~until5(s158))))),
% 13.80/9.56 inference(monotonicity,[status(thm)],[12392])).
% 13.80/9.56 tff(12394,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s158) | (~until5(s158)) | xuntil6(s158))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 13.80/9.56 inference(transitivity,[status(thm)],[12393, 12391])).
% 13.80/9.56 tff(12395,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s158) | (~until5(s158)) | xuntil6(s158))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12396,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12395, 12394])).
% 13.80/9.56 tff(12397,plain,
% 13.80/9.56 (xuntil6(s158) | (~until5(s158))),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12396, 294, 12390])).
% 13.80/9.56 tff(12398,plain,
% 13.80/9.56 (~until5(s158)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12397, 12377])).
% 13.80/9.56 tff(12399,plain,
% 13.80/9.56 (succ(s157, s158) <=> succ(s157, s158)),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12400,axiom,(succ(s157, s158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound158')).
% 13.80/9.56 tff(12401,plain,
% 13.80/9.56 (succ(s157, s158)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12400, 12399])).
% 13.80/9.56 tff(12402,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12403,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12404,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12403, 12402])).
% 13.80/9.56 tff(12405,plain,
% 13.80/9.56 ((~xuntil6(s157)) | until5(s158)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12404, 12401, 312])).
% 13.80/9.56 tff(12406,plain,
% 13.80/9.56 (~xuntil6(s157)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12405, 12398])).
% 13.80/9.56 tff(12407,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12408,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12409,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12408, 12407])).
% 13.80/9.56 tff(12410,plain,
% 13.80/9.56 (trans(s157, s158)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12409, 12401, 52])).
% 13.80/9.56 tff(12411,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s157, s158)) | (~always3(s157)) | always3(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s157, s158)) | (~always3(s157)) | always3(s158))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12412,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s157, s158)) | (~always3(s157)) | always3(s158))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12413,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s157, s158)) | (~always3(s157)) | always3(s158)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 13.80/9.56 tff(12414,plain,
% 13.80/9.56 ((~always3(s157)) | always3(s158)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12413, 125, 12410])).
% 13.80/9.56 tff(12415,plain,
% 13.80/9.56 (~always3(s157)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12414, 12386])).
% 13.80/9.56 tff(12416,plain,
% 13.80/9.56 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12417,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12418,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 13.80/9.56 tff(12419,plain,
% 13.80/9.56 (~node4(s157)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12418, 36, 12415])).
% 13.80/9.56 tff(12420,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s157) | node4(s157) | (~until5(s157)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12421,plain,
% 13.80/9.56 ((node4(s157) | (~until5(s157)) | xuntil6(s157)) <=> (xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12422,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s157) | node4(s157) | (~until5(s157))))),
% 13.80/9.56 inference(monotonicity,[status(thm)],[12421])).
% 13.80/9.56 tff(12423,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 13.80/9.56 inference(transitivity,[status(thm)],[12422, 12420])).
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% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12425,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12424, 12423])).
% 13.80/9.56 tff(12426,plain,
% 13.80/9.56 (xuntil6(s157) | (~until5(s157))),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12425, 294, 12419])).
% 13.80/9.56 tff(12427,plain,
% 13.80/9.56 (~until5(s157)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12426, 12406])).
% 13.80/9.56 tff(12428,plain,
% 13.80/9.56 (succ(s156, s157) <=> succ(s156, s157)),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12429,axiom,(succ(s156, s157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound157')).
% 13.80/9.56 tff(12430,plain,
% 13.80/9.56 (succ(s156, s157)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12429, 12428])).
% 13.80/9.56 tff(12431,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12432,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12433,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 13.80/9.56 tff(12434,plain,
% 13.80/9.56 (trans(s156, s157)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12433, 12430, 52])).
% 13.80/9.56 tff(12435,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s156, s157)) | (~always3(s156)) | always3(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s156, s157)) | (~always3(s156)) | always3(s157))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12436,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s156, s157)) | (~always3(s156)) | always3(s157))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12437,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s156, s157)) | (~always3(s156)) | always3(s157)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12436, 12435])).
% 13.80/9.56 tff(12438,plain,
% 13.80/9.56 ((~always3(s156)) | always3(s157)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12437, 125, 12434])).
% 13.80/9.56 tff(12439,plain,
% 13.80/9.56 (~always3(s156)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12438, 12415])).
% 13.80/9.56 tff(12440,plain,
% 13.80/9.56 (succ(s155, s156) <=> succ(s155, s156)),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12441,axiom,(succ(s155, s156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound156')).
% 13.80/9.56 tff(12442,plain,
% 13.80/9.56 (succ(s155, s156)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12441, 12440])).
% 13.80/9.56 tff(12443,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12444,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12445,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12444, 12443])).
% 13.80/9.56 tff(12446,plain,
% 13.80/9.56 (trans(s155, s156)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12445, 12442, 52])).
% 13.80/9.56 tff(12447,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s155, s156)) | (~always3(s155)) | always3(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s155, s156)) | (~always3(s155)) | always3(s156))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12448,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s155, s156)) | (~always3(s155)) | always3(s156))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12449,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s155, s156)) | (~always3(s155)) | always3(s156)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12448, 12447])).
% 13.80/9.56 tff(12450,plain,
% 13.80/9.56 ((~always3(s155)) | always3(s156)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12449, 125, 12446])).
% 13.80/9.56 tff(12451,plain,
% 13.80/9.56 (~always3(s155)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12450, 12439])).
% 13.80/9.56 tff(12452,plain,
% 13.80/9.56 (succ(s154, s155) <=> succ(s154, s155)),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12453,axiom,(succ(s154, s155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound155')).
% 13.80/9.56 tff(12454,plain,
% 13.80/9.56 (succ(s154, s155)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12453, 12452])).
% 13.80/9.56 tff(12455,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12456,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12457,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 13.80/9.56 tff(12458,plain,
% 13.80/9.56 (trans(s154, s155)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12457, 12454, 52])).
% 13.80/9.56 tff(12459,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s154, s155)) | (~always3(s154)) | always3(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s154, s155)) | (~always3(s154)) | always3(s155))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12460,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s154, s155)) | (~always3(s154)) | always3(s155))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12461,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s154, s155)) | (~always3(s154)) | always3(s155)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 13.80/9.56 tff(12462,plain,
% 13.80/9.56 ((~always3(s154)) | always3(s155)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12461, 125, 12458])).
% 13.80/9.56 tff(12463,plain,
% 13.80/9.56 (~always3(s154)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12462, 12451])).
% 13.80/9.56 tff(12464,plain,
% 13.80/9.56 (~always3(s153)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12262, 12463])).
% 13.80/9.56 tff(12465,plain,
% 13.80/9.56 (~node4(s153)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12250, 36, 12464])).
% 13.80/9.56 tff(12466,plain,
% 13.80/9.56 (~always3(s152)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12206, 12464])).
% 13.80/9.56 tff(12467,plain,
% 13.80/9.56 (~node4(s152)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12194, 36, 12466])).
% 13.80/9.56 tff(12468,plain,
% 13.80/9.56 (xuntil6(s152) | node4(s152)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12235, 294, 12186])).
% 13.80/9.56 tff(12469,plain,
% 13.80/9.56 (xuntil6(s152)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12468, 12467])).
% 13.80/9.56 tff(12470,plain,
% 13.80/9.56 (until5(s153)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12241, 12469])).
% 13.80/9.56 tff(12471,plain,
% 13.80/9.56 (xuntil6(s153)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12291, 294, 12470, 12465])).
% 13.80/9.56 tff(12472,plain,
% 13.80/9.56 (until5(s154)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12297, 12471])).
% 13.80/9.56 tff(12473,plain,
% 13.80/9.56 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s154) | (~node4(s154)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s154) | (~node4(s154)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12474,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s154) | (~node4(s154)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12475,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s154) | (~node4(s154))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12474, 12473])).
% 13.80/9.56 tff(12476,plain,
% 13.80/9.56 (~node4(s154)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12475, 36, 12463])).
% 13.80/9.56 tff(12477,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s154) | node4(s154) | (~until5(s154)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s154) | node4(s154) | (~until5(s154)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12478,plain,
% 13.80/9.56 ((node4(s154) | (~until5(s154)) | xuntil6(s154)) <=> (xuntil6(s154) | node4(s154) | (~until5(s154)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12479,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s154) | (~until5(s154)) | xuntil6(s154))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s154) | node4(s154) | (~until5(s154))))),
% 13.80/9.56 inference(monotonicity,[status(thm)],[12478])).
% 13.80/9.56 tff(12480,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s154) | (~until5(s154)) | xuntil6(s154))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s154) | node4(s154) | (~until5(s154)))),
% 13.80/9.56 inference(transitivity,[status(thm)],[12479, 12477])).
% 13.80/9.56 tff(12481,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s154) | (~until5(s154)) | xuntil6(s154))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12482,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s154) | node4(s154) | (~until5(s154))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12481, 12480])).
% 13.80/9.56 tff(12483,plain,
% 13.80/9.56 (xuntil6(s154) | (~until5(s154))),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12482, 294, 12476])).
% 13.80/9.56 tff(12484,plain,
% 13.80/9.56 (xuntil6(s154)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12483, 12472])).
% 13.80/9.56 tff(12485,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12486,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12487,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12486, 12485])).
% 13.80/9.56 tff(12488,plain,
% 13.80/9.56 ((~xuntil6(s154)) | until5(s155)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12487, 12454, 312])).
% 13.80/9.56 tff(12489,plain,
% 13.80/9.56 (until5(s155)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12488, 12484])).
% 13.80/9.56 tff(12490,plain,
% 13.80/9.56 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s155) | (~node4(s155)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s155) | (~node4(s155)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12491,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s155) | (~node4(s155)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12492,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s155) | (~node4(s155))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 13.80/9.56 tff(12493,plain,
% 13.80/9.56 (~node4(s155)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12492, 36, 12451])).
% 13.80/9.56 tff(12494,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s155) | node4(s155) | (~until5(s155)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s155) | node4(s155) | (~until5(s155)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12495,plain,
% 13.80/9.56 ((node4(s155) | (~until5(s155)) | xuntil6(s155)) <=> (xuntil6(s155) | node4(s155) | (~until5(s155)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12496,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s155) | (~until5(s155)) | xuntil6(s155))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s155) | node4(s155) | (~until5(s155))))),
% 13.80/9.56 inference(monotonicity,[status(thm)],[12495])).
% 13.80/9.56 tff(12497,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s155) | (~until5(s155)) | xuntil6(s155))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s155) | node4(s155) | (~until5(s155)))),
% 13.80/9.56 inference(transitivity,[status(thm)],[12496, 12494])).
% 13.80/9.56 tff(12498,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s155) | (~until5(s155)) | xuntil6(s155))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12499,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s155) | node4(s155) | (~until5(s155))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 13.80/9.56 tff(12500,plain,
% 13.80/9.56 (xuntil6(s155) | (~until5(s155))),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12499, 294, 12493])).
% 13.80/9.56 tff(12501,plain,
% 13.80/9.56 (xuntil6(s155)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12500, 12489])).
% 13.80/9.56 tff(12502,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12503,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12504,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12503, 12502])).
% 13.80/9.56 tff(12505,plain,
% 13.80/9.56 ((~xuntil6(s155)) | until5(s156)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12504, 12442, 312])).
% 13.80/9.56 tff(12506,plain,
% 13.80/9.56 (until5(s156)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12505, 12501])).
% 13.80/9.56 tff(12507,plain,
% 13.80/9.56 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s156) | (~node4(s156)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s156) | (~node4(s156)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12508,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s156) | (~node4(s156)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12509,plain,
% 13.80/9.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s156) | (~node4(s156))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12508, 12507])).
% 13.80/9.56 tff(12510,plain,
% 13.80/9.56 (~node4(s156)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12509, 36, 12439])).
% 13.80/9.56 tff(12511,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s156) | node4(s156) | (~until5(s156)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s156) | node4(s156) | (~until5(s156)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12512,plain,
% 13.80/9.56 ((node4(s156) | (~until5(s156)) | xuntil6(s156)) <=> (xuntil6(s156) | node4(s156) | (~until5(s156)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12513,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s156) | (~until5(s156)) | xuntil6(s156))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s156) | node4(s156) | (~until5(s156))))),
% 13.80/9.56 inference(monotonicity,[status(thm)],[12512])).
% 13.80/9.56 tff(12514,plain,
% 13.80/9.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s156) | (~until5(s156)) | xuntil6(s156))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s156) | node4(s156) | (~until5(s156)))),
% 13.80/9.56 inference(transitivity,[status(thm)],[12513, 12511])).
% 13.80/9.56 tff(12515,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s156) | (~until5(s156)) | xuntil6(s156))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12516,plain,
% 13.80/9.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s156) | node4(s156) | (~until5(s156))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12515, 12514])).
% 13.80/9.56 tff(12517,plain,
% 13.80/9.56 (xuntil6(s156) | (~until5(s156))),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12516, 294, 12510])).
% 13.80/9.56 tff(12518,plain,
% 13.80/9.56 (xuntil6(s156)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12517, 12506])).
% 13.80/9.56 tff(12519,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12520,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12521,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12520, 12519])).
% 13.80/9.56 tff(12522,plain,
% 13.80/9.56 ((~xuntil6(s156)) | until5(s157)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12521, 12430, 312])).
% 13.80/9.56 tff(12523,plain,
% 13.80/9.56 ($false),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12522, 12518, 12427])).
% 13.80/9.56 tff(12524,plain,(always3(s161) | (~until5(s152)) | xuntil6(s161)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.56 tff(12525,plain,
% 13.80/9.56 (always3(s161)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12524, 12186, 12299])).
% 13.80/9.56 tff(12526,plain,
% 13.80/9.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s161)) | (~m_main_v_state(s161, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s161)) | (~m_main_v_state(s161, c_busy)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12527,plain,
% 13.80/9.56 (((~m_main_v_state(s161, c_busy)) | (~always3(s161))) <=> ((~always3(s161)) | (~m_main_v_state(s161, c_busy)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12528,plain,
% 13.80/9.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s161, c_busy)) | (~always3(s161)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s161)) | (~m_main_v_state(s161, c_busy))))),
% 13.80/9.56 inference(monotonicity,[status(thm)],[12527])).
% 13.80/9.56 tff(12529,plain,
% 13.80/9.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s161, c_busy)) | (~always3(s161)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s161)) | (~m_main_v_state(s161, c_busy)))),
% 13.80/9.56 inference(transitivity,[status(thm)],[12528, 12526])).
% 13.80/9.56 tff(12530,plain,
% 13.80/9.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s161, c_busy)) | (~always3(s161)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12531,plain,
% 13.80/9.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s161)) | (~m_main_v_state(s161, c_busy))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12530, 12529])).
% 13.80/9.56 tff(12532,plain,
% 13.80/9.56 (~m_main_v_state(s161, c_busy)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12531, 85, 12525])).
% 13.80/9.56 tff(12533,assumption,(~m_main_v_state(s161, c_busy)), introduced(assumption)).
% 13.80/9.56 tff(12534,assumption,(node4(s160)), introduced(assumption)).
% 13.80/9.56 tff(12535,plain,
% 13.80/9.56 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s160) | (~node4(s160)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s160) | (~node4(s160)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12536,plain,
% 13.80/9.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s160) | (~node4(s160)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12537,plain,
% 13.80/9.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s160) | (~node4(s160))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 13.80/9.56 tff(12538,plain,
% 13.80/9.56 (m_main_v_request(s160)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12537, 21, 12534])).
% 13.80/9.56 tff(12539,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s160, s161)) | node2(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s160, s161)) | node2(s160, s161))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12540,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s160, s161)) | node2(s160, s161))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12541,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s160, s161)) | node2(s160, s161)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12540, 12539])).
% 13.80/9.56 tff(12542,plain,
% 13.80/9.56 (node2(s160, s161)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12541, 7, 12307])).
% 13.80/9.56 tff(12543,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12544,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12545,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12544, 12543])).
% 13.80/9.56 tff(12546,plain,
% 13.80/9.56 ((~m_main_v_state(s160, c_ready)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160))),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12545, 73, 12542])).
% 13.80/9.56 tff(12547,plain,
% 13.80/9.56 (~m_main_v_state(s160, c_ready)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12546, 12538, 12533])).
% 13.80/9.56 tff(12548,plain,
% 13.80/9.56 (always3(s160)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12315, 36, 12534])).
% 13.80/9.56 tff(12549,plain,
% 13.80/9.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s160)) | (~m_main_v_state(s160, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s160)) | (~m_main_v_state(s160, c_busy)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12550,plain,
% 13.80/9.56 (((~m_main_v_state(s160, c_busy)) | (~always3(s160))) <=> ((~always3(s160)) | (~m_main_v_state(s160, c_busy)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12551,plain,
% 13.80/9.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s160, c_busy)) | (~always3(s160)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s160)) | (~m_main_v_state(s160, c_busy))))),
% 13.80/9.56 inference(monotonicity,[status(thm)],[12550])).
% 13.80/9.56 tff(12552,plain,
% 13.80/9.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s160, c_busy)) | (~always3(s160)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s160)) | (~m_main_v_state(s160, c_busy)))),
% 13.80/9.56 inference(transitivity,[status(thm)],[12551, 12549])).
% 13.80/9.56 tff(12553,plain,
% 13.80/9.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s160, c_busy)) | (~always3(s160)))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12554,plain,
% 13.80/9.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s160)) | (~m_main_v_state(s160, c_busy))),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12553, 12552])).
% 13.80/9.56 tff(12555,plain,
% 13.80/9.56 (~m_main_v_state(s160, c_busy)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12554, 85, 12548])).
% 13.80/9.56 tff(12556,plain,
% 13.80/9.56 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12557,plain,
% 13.80/9.56 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12558,plain,
% 13.80/9.56 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12557, 12556])).
% 13.80/9.56 tff(12559,plain,
% 13.80/9.56 ($false),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12558, 102, 12555, 12547])).
% 13.80/9.56 tff(12560,plain,((~node4(s160)) | m_main_v_state(s161, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.56 tff(12561,plain,
% 13.80/9.56 (~node4(s160)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12560, 12532])).
% 13.80/9.56 tff(12562,plain,
% 13.80/9.56 (always3(s161)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12524, 12299, 12186])).
% 13.80/9.56 tff(12563,plain,
% 13.80/9.56 (succ(s161, s162) <=> succ(s161, s162)),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12564,axiom,(succ(s161, s162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound162')).
% 13.80/9.56 tff(12565,plain,
% 13.80/9.56 (succ(s161, s162)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12564, 12563])).
% 13.80/9.56 tff(12566,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12567,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12568,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12567, 12566])).
% 13.80/9.56 tff(12569,plain,
% 13.80/9.56 (trans(s161, s162)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12568, 12565, 52])).
% 13.80/9.56 tff(12570,plain,
% 13.80/9.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s161, s162)) | (~always3(s161)) | always3(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s161, s162)) | (~always3(s161)) | always3(s162))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12571,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s161, s162)) | (~always3(s161)) | always3(s162))),
% 13.80/9.56 inference(quant_inst,[status(thm)],[])).
% 13.80/9.56 tff(12572,plain,
% 13.80/9.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s161, s162)) | (~always3(s161)) | always3(s162)),
% 13.80/9.56 inference(modus_ponens,[status(thm)],[12571, 12570])).
% 13.80/9.56 tff(12573,plain,
% 13.80/9.56 ((~always3(s161)) | always3(s162)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12572, 125, 12569])).
% 13.80/9.56 tff(12574,plain,
% 13.80/9.56 (always3(s162)),
% 13.80/9.56 inference(unit_resolution,[status(thm)],[12573, 12562])).
% 13.80/9.56 tff(12575,plain,
% 13.80/9.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s162)) | (~m_main_v_state(s162, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s162)) | (~m_main_v_state(s162, c_busy)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12576,plain,
% 13.80/9.56 (((~m_main_v_state(s162, c_busy)) | (~always3(s162))) <=> ((~always3(s162)) | (~m_main_v_state(s162, c_busy)))),
% 13.80/9.56 inference(rewrite,[status(thm)],[])).
% 13.80/9.56 tff(12577,plain,
% 13.80/9.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s162, c_busy)) | (~always3(s162)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s162)) | (~m_main_v_state(s162, c_busy))))),
% 13.80/9.57 inference(monotonicity,[status(thm)],[12576])).
% 13.80/9.57 tff(12578,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s162, c_busy)) | (~always3(s162)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s162)) | (~m_main_v_state(s162, c_busy)))),
% 13.80/9.57 inference(transitivity,[status(thm)],[12577, 12575])).
% 13.80/9.57 tff(12579,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s162, c_busy)) | (~always3(s162)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12580,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s162)) | (~m_main_v_state(s162, c_busy))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12579, 12578])).
% 13.80/9.57 tff(12581,plain,
% 13.80/9.57 (~m_main_v_state(s162, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12580, 85, 12574])).
% 13.80/9.57 tff(12582,assumption,(until5(s161)), introduced(assumption)).
% 13.80/9.57 tff(12583,plain,
% 13.80/9.57 (xuntil6(s161) | node4(s161)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12326, 294, 12582])).
% 13.80/9.57 tff(12584,plain,
% 13.80/9.57 (node4(s161)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12583, 12299])).
% 13.80/9.57 tff(12585,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s161) | (~node4(s161)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s161) | (~node4(s161)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12586,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s161) | (~node4(s161)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12587,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s161) | (~node4(s161))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12586, 12585])).
% 13.80/9.57 tff(12588,plain,
% 13.80/9.57 (m_main_v_request(s161)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12587, 21, 12584])).
% 13.80/9.57 tff(12589,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s161, s162)) | node2(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s161, s162)) | node2(s161, s162))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12590,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s161, s162)) | node2(s161, s162))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12591,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s161, s162)) | node2(s161, s162)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12590, 12589])).
% 13.80/9.57 tff(12592,plain,
% 13.80/9.57 (node2(s161, s162)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12591, 7, 12569])).
% 13.80/9.57 tff(12593,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12594,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12595,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12594, 12593])).
% 13.80/9.57 tff(12596,plain,
% 13.80/9.57 ((~m_main_v_state(s161, c_ready)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12595, 73, 12592])).
% 13.80/9.57 tff(12597,plain,
% 13.80/9.57 (~m_main_v_state(s161, c_ready)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12596, 12588, 12581])).
% 13.80/9.57 tff(12598,plain,
% 13.80/9.57 (~m_main_v_state(s161, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12531, 85, 12562])).
% 13.80/9.57 tff(12599,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12600,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12601,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12600, 12599])).
% 13.80/9.57 tff(12602,plain,
% 13.80/9.57 ($false),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12601, 102, 12598, 12597])).
% 13.80/9.57 tff(12603,plain,(xuntil6(s161) | (~until5(s161)) | (~until5(s152))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.57 tff(12604,plain,
% 13.80/9.57 (~until5(s161)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12603, 12186, 12299])).
% 13.80/9.57 tff(12605,plain,
% 13.80/9.57 (~xuntil6(s160)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12332, 12604])).
% 13.80/9.57 tff(12606,plain,
% 13.80/9.57 (node4(s160) | (~until5(s160))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12339, 294, 12605])).
% 13.80/9.57 tff(12607,plain,
% 13.80/9.57 (~until5(s160)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12606, 12561])).
% 13.80/9.57 tff(12608,plain,
% 13.80/9.57 (~xuntil6(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12347, 12607])).
% 13.80/9.57 tff(12609,assumption,(~always3(s159)), introduced(assumption)).
% 13.80/9.57 tff(12610,plain,
% 13.80/9.57 (~always3(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12385, 12609])).
% 13.80/9.57 tff(12611,plain,
% 13.80/9.57 (~node4(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12389, 36, 12610])).
% 13.80/9.57 tff(12612,plain,
% 13.80/9.57 (~node4(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12360, 36, 12609])).
% 13.80/9.57 tff(12613,assumption,(~xuntil6(s159)), introduced(assumption)).
% 13.80/9.57 tff(12614,plain,
% 13.80/9.57 (node4(s159) | (~until5(s159))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12367, 294, 12613])).
% 13.80/9.57 tff(12615,plain,
% 13.80/9.57 (~until5(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12614, 12612])).
% 13.80/9.57 tff(12616,plain,
% 13.80/9.57 (~xuntil6(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12376, 12615])).
% 13.80/9.57 tff(12617,plain,
% 13.80/9.57 (~until5(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12396, 294, 12616, 12611])).
% 13.80/9.57 tff(12618,plain,
% 13.80/9.57 (~xuntil6(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12405, 12617])).
% 13.80/9.57 tff(12619,plain,
% 13.80/9.57 (~always3(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12414, 12610])).
% 13.80/9.57 tff(12620,plain,
% 13.80/9.57 (~node4(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12418, 36, 12619])).
% 13.80/9.57 tff(12621,plain,
% 13.80/9.57 (xuntil6(s157) | (~until5(s157))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12425, 294, 12620])).
% 13.80/9.57 tff(12622,plain,
% 13.80/9.57 (~until5(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12621, 12618])).
% 13.80/9.57 tff(12623,plain,
% 13.80/9.57 (~xuntil6(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12522, 12622])).
% 13.80/9.57 tff(12624,plain,
% 13.80/9.57 (~always3(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12438, 12619])).
% 13.80/9.57 tff(12625,plain,
% 13.80/9.57 (~node4(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12509, 36, 12624])).
% 13.80/9.57 tff(12626,plain,
% 13.80/9.57 (xuntil6(s156) | (~until5(s156))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12516, 294, 12625])).
% 13.80/9.57 tff(12627,plain,
% 13.80/9.57 (~until5(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12626, 12623])).
% 13.80/9.57 tff(12628,plain,
% 13.80/9.57 (~always3(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12450, 12624])).
% 13.80/9.57 tff(12629,plain,
% 13.80/9.57 (~always3(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12462, 12628])).
% 13.80/9.57 tff(12630,plain,
% 13.80/9.57 (~always3(s153)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12262, 12629])).
% 13.80/9.57 tff(12631,plain,
% 13.80/9.57 (~node4(s153)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12250, 36, 12630])).
% 13.80/9.57 tff(12632,plain,
% 13.80/9.57 (~always3(s152)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12206, 12630])).
% 13.80/9.57 tff(12633,plain,
% 13.80/9.57 (~node4(s152)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12194, 36, 12632])).
% 13.80/9.57 tff(12634,plain,
% 13.80/9.57 (xuntil6(s152)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12468, 12633])).
% 13.80/9.57 tff(12635,plain,
% 13.80/9.57 (until5(s153)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12241, 12634])).
% 13.80/9.57 tff(12636,plain,
% 13.80/9.57 (xuntil6(s153)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12291, 294, 12635, 12631])).
% 13.80/9.57 tff(12637,plain,
% 13.80/9.57 (until5(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12297, 12636])).
% 13.80/9.57 tff(12638,plain,
% 13.80/9.57 (~node4(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12475, 36, 12629])).
% 13.80/9.57 tff(12639,plain,
% 13.80/9.57 (xuntil6(s154) | (~until5(s154))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12482, 294, 12638])).
% 13.80/9.57 tff(12640,plain,
% 13.80/9.57 (xuntil6(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12639, 12637])).
% 13.80/9.57 tff(12641,plain,
% 13.80/9.57 (until5(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12488, 12640])).
% 13.80/9.57 tff(12642,plain,
% 13.80/9.57 (~node4(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12492, 36, 12628])).
% 13.80/9.57 tff(12643,plain,
% 13.80/9.57 (xuntil6(s155) | (~until5(s155))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12499, 294, 12642])).
% 13.80/9.57 tff(12644,plain,
% 13.80/9.57 (xuntil6(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12643, 12641])).
% 13.80/9.57 tff(12645,plain,
% 13.80/9.57 ($false),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12505, 12644, 12627])).
% 13.80/9.57 tff(12646,plain,(always3(s159) | (~until5(s152)) | xuntil6(s159)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.57 tff(12647,plain,
% 13.80/9.57 (always3(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12646, 12608, 12186])).
% 13.80/9.57 tff(12648,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s159)) | (~m_main_v_state(s159, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s159)) | (~m_main_v_state(s159, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12649,plain,
% 13.80/9.57 (((~m_main_v_state(s159, c_busy)) | (~always3(s159))) <=> ((~always3(s159)) | (~m_main_v_state(s159, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12650,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s159, c_busy)) | (~always3(s159)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s159)) | (~m_main_v_state(s159, c_busy))))),
% 13.80/9.57 inference(monotonicity,[status(thm)],[12649])).
% 13.80/9.57 tff(12651,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s159, c_busy)) | (~always3(s159)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s159)) | (~m_main_v_state(s159, c_busy)))),
% 13.80/9.57 inference(transitivity,[status(thm)],[12650, 12648])).
% 13.80/9.57 tff(12652,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s159, c_busy)) | (~always3(s159)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12653,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s159)) | (~m_main_v_state(s159, c_busy))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12652, 12651])).
% 13.80/9.57 tff(12654,plain,
% 13.80/9.57 (~m_main_v_state(s159, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12653, 85, 12647])).
% 13.80/9.57 tff(12655,assumption,(~m_main_v_state(s159, c_busy)), introduced(assumption)).
% 13.80/9.57 tff(12656,assumption,(node4(s158)), introduced(assumption)).
% 13.80/9.57 tff(12657,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s158) | (~node4(s158)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s158) | (~node4(s158)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12658,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s158) | (~node4(s158)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12659,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s158) | (~node4(s158))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12658, 12657])).
% 13.80/9.57 tff(12660,plain,
% 13.80/9.57 (m_main_v_request(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12659, 21, 12656])).
% 13.80/9.57 tff(12661,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s158, s159)) | node2(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s158, s159)) | node2(s158, s159))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12662,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s158, s159)) | node2(s158, s159))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12663,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s158, s159)) | node2(s158, s159)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12662, 12661])).
% 13.80/9.57 tff(12664,plain,
% 13.80/9.57 (node2(s158, s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12663, 7, 12381])).
% 13.80/9.57 tff(12665,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12666,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12667,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 13.80/9.57 tff(12668,plain,
% 13.80/9.57 ((~m_main_v_state(s158, c_ready)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12667, 73, 12664])).
% 13.80/9.57 tff(12669,plain,
% 13.80/9.57 (~m_main_v_state(s158, c_ready)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12668, 12660, 12655])).
% 13.80/9.57 tff(12670,plain,
% 13.80/9.57 (always3(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12389, 36, 12656])).
% 13.80/9.57 tff(12671,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s158)) | (~m_main_v_state(s158, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s158)) | (~m_main_v_state(s158, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12672,plain,
% 13.80/9.57 (((~m_main_v_state(s158, c_busy)) | (~always3(s158))) <=> ((~always3(s158)) | (~m_main_v_state(s158, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12673,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s158, c_busy)) | (~always3(s158)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s158)) | (~m_main_v_state(s158, c_busy))))),
% 13.80/9.57 inference(monotonicity,[status(thm)],[12672])).
% 13.80/9.57 tff(12674,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s158, c_busy)) | (~always3(s158)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s158)) | (~m_main_v_state(s158, c_busy)))),
% 13.80/9.57 inference(transitivity,[status(thm)],[12673, 12671])).
% 13.80/9.57 tff(12675,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s158, c_busy)) | (~always3(s158)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12676,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s158)) | (~m_main_v_state(s158, c_busy))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12675, 12674])).
% 13.80/9.57 tff(12677,plain,
% 13.80/9.57 (~m_main_v_state(s158, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12676, 85, 12670])).
% 13.80/9.57 tff(12678,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12679,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12680,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 13.80/9.57 tff(12681,plain,
% 13.80/9.57 ($false),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12680, 102, 12677, 12669])).
% 13.80/9.57 tff(12682,plain,((~node4(s158)) | m_main_v_state(s159, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.57 tff(12683,plain,
% 13.80/9.57 (~node4(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12682, 12654])).
% 13.80/9.57 tff(12684,plain,
% 13.80/9.57 (always3(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12646, 12613, 12186])).
% 13.80/9.57 tff(12685,plain,
% 13.80/9.57 (always3(s160)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12356, 12684])).
% 13.80/9.57 tff(12686,plain,
% 13.80/9.57 (~m_main_v_state(s160, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12554, 85, 12685])).
% 13.80/9.57 tff(12687,assumption,(until5(s159)), introduced(assumption)).
% 13.80/9.57 tff(12688,plain,
% 13.80/9.57 (xuntil6(s159) | node4(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12367, 294, 12687])).
% 13.80/9.57 tff(12689,plain,
% 13.80/9.57 (node4(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12688, 12613])).
% 13.80/9.57 tff(12690,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s159) | (~node4(s159)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s159) | (~node4(s159)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12691,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s159) | (~node4(s159)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12692,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s159) | (~node4(s159))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12691, 12690])).
% 13.80/9.57 tff(12693,plain,
% 13.80/9.57 (m_main_v_request(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12692, 21, 12689])).
% 13.80/9.57 tff(12694,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s159, s160)) | node2(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s159, s160)) | node2(s159, s160))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12695,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s159, s160)) | node2(s159, s160))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12696,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s159, s160)) | node2(s159, s160)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12695, 12694])).
% 13.80/9.57 tff(12697,plain,
% 13.80/9.57 (node2(s159, s160)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12696, 7, 12352])).
% 13.80/9.57 tff(12698,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12699,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12700,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12699, 12698])).
% 13.80/9.57 tff(12701,plain,
% 13.80/9.57 ((~m_main_v_state(s159, c_ready)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12700, 73, 12697])).
% 13.80/9.57 tff(12702,plain,
% 13.80/9.57 (~m_main_v_state(s159, c_ready)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12701, 12693, 12686])).
% 13.80/9.57 tff(12703,plain,
% 13.80/9.57 (~m_main_v_state(s159, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12653, 85, 12684])).
% 13.80/9.57 tff(12704,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12705,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12706,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12705, 12704])).
% 13.80/9.57 tff(12707,plain,
% 13.80/9.57 ($false),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12706, 102, 12703, 12702])).
% 13.80/9.57 tff(12708,plain,(xuntil6(s159) | (~until5(s159)) | (~until5(s152))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.57 tff(12709,plain,
% 13.80/9.57 (~until5(s159)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12708, 12608, 12186])).
% 13.80/9.57 tff(12710,plain,
% 13.80/9.57 (~xuntil6(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12376, 12709])).
% 13.80/9.57 tff(12711,plain,
% 13.80/9.57 (node4(s158) | (~until5(s158))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12396, 294, 12710])).
% 13.80/9.57 tff(12712,plain,
% 13.80/9.57 (~until5(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12711, 12683])).
% 13.80/9.57 tff(12713,plain,
% 13.80/9.57 (~xuntil6(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12405, 12712])).
% 13.80/9.57 tff(12714,assumption,(~xuntil6(s157)), introduced(assumption)).
% 13.80/9.57 tff(12715,assumption,(until5(s157)), introduced(assumption)).
% 13.80/9.57 tff(12716,plain,
% 13.80/9.57 (xuntil6(s157) | node4(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12425, 294, 12715])).
% 13.80/9.57 tff(12717,plain,
% 13.80/9.57 (node4(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12716, 12714])).
% 13.80/9.57 tff(12718,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s157) | (~node4(s157)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s157) | (~node4(s157)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12719,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s157) | (~node4(s157)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12720,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s157) | (~node4(s157))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12719, 12718])).
% 13.80/9.57 tff(12721,plain,
% 13.80/9.57 (m_main_v_request(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12720, 21, 12717])).
% 13.80/9.57 tff(12722,assumption,(until5(s153)), introduced(assumption)).
% 13.80/9.57 tff(12723,assumption,(~always3(s157)), introduced(assumption)).
% 13.80/9.57 tff(12724,plain,
% 13.80/9.57 (~always3(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12438, 12723])).
% 13.80/9.57 tff(12725,plain,
% 13.80/9.57 (~node4(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12509, 36, 12724])).
% 13.80/9.57 tff(12726,plain,
% 13.80/9.57 (~node4(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12418, 36, 12723])).
% 13.80/9.57 tff(12727,plain,
% 13.80/9.57 (node4(s157) | (~until5(s157))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12425, 294, 12714])).
% 13.80/9.57 tff(12728,plain,
% 13.80/9.57 (~until5(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12727, 12726])).
% 13.80/9.57 tff(12729,plain,
% 13.80/9.57 (~xuntil6(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12522, 12728])).
% 13.80/9.57 tff(12730,plain,
% 13.80/9.57 (~until5(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12516, 294, 12729, 12725])).
% 13.80/9.57 tff(12731,plain,
% 13.80/9.57 (~xuntil6(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12505, 12730])).
% 13.80/9.57 tff(12732,plain,
% 13.80/9.57 (~always3(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12450, 12724])).
% 13.80/9.57 tff(12733,plain,
% 13.80/9.57 (~always3(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12462, 12732])).
% 13.80/9.57 tff(12734,plain,
% 13.80/9.57 (~node4(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12475, 36, 12733])).
% 13.80/9.57 tff(12735,plain,
% 13.80/9.57 (~always3(s153)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12262, 12733])).
% 13.80/9.57 tff(12736,plain,
% 13.80/9.57 (~node4(s153)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12250, 36, 12735])).
% 13.80/9.57 tff(12737,plain,
% 13.80/9.57 (xuntil6(s153) | node4(s153)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12291, 294, 12722])).
% 13.80/9.57 tff(12738,plain,
% 13.80/9.57 (xuntil6(s153)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12737, 12736])).
% 13.80/9.57 tff(12739,plain,
% 13.80/9.57 (until5(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12297, 12738])).
% 13.80/9.57 tff(12740,plain,
% 13.80/9.57 (xuntil6(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12482, 294, 12739, 12734])).
% 13.80/9.57 tff(12741,plain,
% 13.80/9.57 (until5(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12488, 12740])).
% 13.80/9.57 tff(12742,plain,
% 13.80/9.57 (~node4(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12492, 36, 12732])).
% 13.80/9.57 tff(12743,plain,
% 13.80/9.57 (xuntil6(s155) | (~until5(s155))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12499, 294, 12742])).
% 13.80/9.57 tff(12744,plain,
% 13.80/9.57 ($false),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12743, 12741, 12731])).
% 13.80/9.57 tff(12745,plain,(always3(s157) | (~until5(s153)) | xuntil6(s157)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.57 tff(12746,plain,
% 13.80/9.57 (always3(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12745, 12714, 12722])).
% 13.80/9.57 tff(12747,plain,
% 13.80/9.57 (always3(s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12414, 12746])).
% 13.80/9.57 tff(12748,plain,
% 13.80/9.57 (~m_main_v_state(s158, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12676, 85, 12747])).
% 13.80/9.57 tff(12749,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s157, s158)) | node2(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s157, s158)) | node2(s157, s158))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12750,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s157, s158)) | node2(s157, s158))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12751,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s157, s158)) | node2(s157, s158)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12750, 12749])).
% 13.80/9.57 tff(12752,plain,
% 13.80/9.57 (node2(s157, s158)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12751, 7, 12410])).
% 13.80/9.57 tff(12753,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12754,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12755,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12754, 12753])).
% 13.80/9.57 tff(12756,plain,
% 13.80/9.57 ((~m_main_v_state(s157, c_ready)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12755, 73, 12752])).
% 13.80/9.57 tff(12757,plain,
% 13.80/9.57 (~m_main_v_state(s157, c_ready)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12756, 12748, 12721])).
% 13.80/9.57 tff(12758,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s157)) | (~m_main_v_state(s157, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s157)) | (~m_main_v_state(s157, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12759,plain,
% 13.80/9.57 (((~m_main_v_state(s157, c_busy)) | (~always3(s157))) <=> ((~always3(s157)) | (~m_main_v_state(s157, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12760,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s157, c_busy)) | (~always3(s157)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s157)) | (~m_main_v_state(s157, c_busy))))),
% 13.80/9.57 inference(monotonicity,[status(thm)],[12759])).
% 13.80/9.57 tff(12761,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s157, c_busy)) | (~always3(s157)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s157)) | (~m_main_v_state(s157, c_busy)))),
% 13.80/9.57 inference(transitivity,[status(thm)],[12760, 12758])).
% 13.80/9.57 tff(12762,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s157, c_busy)) | (~always3(s157)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12763,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s157)) | (~m_main_v_state(s157, c_busy))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12762, 12761])).
% 13.80/9.57 tff(12764,plain,
% 13.80/9.57 (~m_main_v_state(s157, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12763, 85, 12746])).
% 13.80/9.57 tff(12765,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12766,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12767,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 13.80/9.57 tff(12768,plain,
% 13.80/9.57 ($false),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12767, 102, 12764, 12757])).
% 13.80/9.57 tff(12769,plain,(xuntil6(s157) | (~until5(s157)) | (~until5(s153))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.57 tff(12770,plain,
% 13.80/9.57 (~until5(s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12769, 12713, 12242])).
% 13.80/9.57 tff(12771,plain,
% 13.80/9.57 (~xuntil6(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12522, 12770])).
% 13.80/9.57 tff(12772,assumption,(until5(s154)), introduced(assumption)).
% 13.80/9.57 tff(12773,assumption,(~m_main_v_state(s157, c_busy)), introduced(assumption)).
% 13.80/9.57 tff(12774,assumption,(~xuntil6(s156)), introduced(assumption)).
% 13.80/9.57 tff(12775,assumption,(~always3(s156)), introduced(assumption)).
% 13.80/9.57 tff(12776,plain,
% 13.80/9.57 (~always3(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12450, 12775])).
% 13.80/9.57 tff(12777,plain,
% 13.80/9.57 (~node4(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12492, 36, 12776])).
% 13.80/9.57 tff(12778,plain,
% 13.80/9.57 (~always3(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12462, 12776])).
% 13.80/9.57 tff(12779,plain,
% 13.80/9.57 (~node4(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12475, 36, 12778])).
% 13.80/9.57 tff(12780,plain,
% 13.80/9.57 (xuntil6(s154) | node4(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12482, 294, 12772])).
% 13.80/9.57 tff(12781,plain,
% 13.80/9.57 (xuntil6(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12780, 12779])).
% 13.80/9.57 tff(12782,plain,
% 13.80/9.57 (until5(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12488, 12781])).
% 13.80/9.57 tff(12783,plain,
% 13.80/9.57 (xuntil6(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12499, 294, 12782, 12777])).
% 13.80/9.57 tff(12784,plain,
% 13.80/9.57 (until5(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12505, 12783])).
% 13.80/9.57 tff(12785,plain,
% 13.80/9.57 (node4(s156) | (~until5(s156))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12516, 294, 12774])).
% 13.80/9.57 tff(12786,plain,
% 13.80/9.57 (node4(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12785, 12784])).
% 13.80/9.57 tff(12787,plain,
% 13.80/9.57 ($false),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12509, 36, 12775, 12786])).
% 13.80/9.57 tff(12788,plain,(always3(s156) | xuntil6(s156) | (~until5(s154))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.57 tff(12789,plain,
% 13.80/9.57 (always3(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12788, 12772, 12774])).
% 13.80/9.57 tff(12790,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s156)) | (~m_main_v_state(s156, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s156)) | (~m_main_v_state(s156, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12791,plain,
% 13.80/9.57 (((~m_main_v_state(s156, c_busy)) | (~always3(s156))) <=> ((~always3(s156)) | (~m_main_v_state(s156, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12792,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s156, c_busy)) | (~always3(s156)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s156)) | (~m_main_v_state(s156, c_busy))))),
% 13.80/9.57 inference(monotonicity,[status(thm)],[12791])).
% 13.80/9.57 tff(12793,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s156, c_busy)) | (~always3(s156)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s156)) | (~m_main_v_state(s156, c_busy)))),
% 13.80/9.57 inference(transitivity,[status(thm)],[12792, 12790])).
% 13.80/9.57 tff(12794,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s156, c_busy)) | (~always3(s156)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12795,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s156)) | (~m_main_v_state(s156, c_busy))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12794, 12793])).
% 13.80/9.57 tff(12796,plain,
% 13.80/9.57 (~m_main_v_state(s156, c_busy)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12795, 85, 12789])).
% 13.80/9.57 tff(12797,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12798,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12799,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12798, 12797])).
% 13.80/9.57 tff(12800,plain,
% 13.80/9.57 (m_main_v_state(s156, c_ready)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12799, 102, 12796])).
% 13.80/9.57 tff(12801,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s156, s157)) | node2(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s156, s157)) | node2(s156, s157))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12802,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s156, s157)) | node2(s156, s157))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12803,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s156, s157)) | node2(s156, s157)),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12802, 12801])).
% 13.80/9.57 tff(12804,plain,
% 13.80/9.57 (node2(s156, s157)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12803, 7, 12434])).
% 13.80/9.57 tff(12805,plain,
% 13.80/9.57 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12806,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12807,plain,
% 13.80/9.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12806, 12805])).
% 13.80/9.57 tff(12808,plain,
% 13.80/9.57 ((~m_main_v_state(s156, c_ready)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12807, 73, 12804])).
% 13.80/9.57 tff(12809,plain,
% 13.80/9.57 (~m_main_v_request(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12808, 12800, 12773])).
% 13.80/9.57 tff(12810,plain,
% 13.80/9.57 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s156) | (~node4(s156)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s156) | (~node4(s156)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12811,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s156) | (~node4(s156)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12812,plain,
% 13.80/9.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s156) | (~node4(s156))),
% 13.80/9.57 inference(modus_ponens,[status(thm)],[12811, 12810])).
% 13.80/9.57 tff(12813,plain,
% 13.80/9.57 (~node4(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12812, 21, 12809])).
% 13.80/9.57 tff(12814,plain,
% 13.80/9.57 (~until5(s156)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12785, 12813])).
% 13.80/9.57 tff(12815,plain,
% 13.80/9.57 (~xuntil6(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12505, 12814])).
% 13.80/9.57 tff(12816,assumption,(~always3(s155)), introduced(assumption)).
% 13.80/9.57 tff(12817,plain,
% 13.80/9.57 (~always3(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12462, 12816])).
% 13.80/9.57 tff(12818,plain,
% 13.80/9.57 (~node4(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12475, 36, 12817])).
% 13.80/9.57 tff(12819,plain,
% 13.80/9.57 (xuntil6(s154)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12780, 12818])).
% 13.80/9.57 tff(12820,plain,
% 13.80/9.57 (until5(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12488, 12819])).
% 13.80/9.57 tff(12821,assumption,(~xuntil6(s155)), introduced(assumption)).
% 13.80/9.57 tff(12822,plain,
% 13.80/9.57 (node4(s155) | (~until5(s155))),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12499, 294, 12821])).
% 13.80/9.57 tff(12823,plain,
% 13.80/9.57 (node4(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12822, 12820])).
% 13.80/9.57 tff(12824,plain,
% 13.80/9.57 ($false),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12492, 36, 12816, 12823])).
% 13.80/9.57 tff(12825,plain,(always3(s155) | xuntil6(s155) | (~until5(s154))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.57 tff(12826,plain,
% 13.80/9.57 (always3(s155)),
% 13.80/9.57 inference(unit_resolution,[status(thm)],[12825, 12815, 12772])).
% 13.80/9.57 tff(12827,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s155)) | (~m_main_v_state(s155, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s155)) | (~m_main_v_state(s155, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12828,plain,
% 13.80/9.57 (((~m_main_v_state(s155, c_busy)) | (~always3(s155))) <=> ((~always3(s155)) | (~m_main_v_state(s155, c_busy)))),
% 13.80/9.57 inference(rewrite,[status(thm)],[])).
% 13.80/9.57 tff(12829,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s155, c_busy)) | (~always3(s155)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s155)) | (~m_main_v_state(s155, c_busy))))),
% 13.80/9.57 inference(monotonicity,[status(thm)],[12828])).
% 13.80/9.57 tff(12830,plain,
% 13.80/9.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s155, c_busy)) | (~always3(s155)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s155)) | (~m_main_v_state(s155, c_busy)))),
% 13.80/9.57 inference(transitivity,[status(thm)],[12829, 12827])).
% 13.80/9.57 tff(12831,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s155, c_busy)) | (~always3(s155)))),
% 13.80/9.57 inference(quant_inst,[status(thm)],[])).
% 13.80/9.57 tff(12832,plain,
% 13.80/9.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s155)) | (~m_main_v_state(s155, c_busy))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 13.80/9.58 tff(12833,plain,
% 13.80/9.58 (~m_main_v_state(s155, c_busy)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12832, 85, 12826])).
% 13.80/9.58 tff(12834,plain,
% 13.80/9.58 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12835,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12836,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 13.80/9.58 tff(12837,plain,
% 13.80/9.58 (m_main_v_state(s155, c_ready)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12836, 102, 12833])).
% 13.80/9.58 tff(12838,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s155, s156)) | node2(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s155, s156)) | node2(s155, s156))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12839,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s155, s156)) | node2(s155, s156))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12840,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s155, s156)) | node2(s155, s156)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12839, 12838])).
% 13.80/9.58 tff(12841,plain,
% 13.80/9.58 (node2(s155, s156)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12840, 7, 12446])).
% 13.80/9.58 tff(12842,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12843,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12844,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 13.80/9.58 tff(12845,plain,
% 13.80/9.58 ((~m_main_v_state(s155, c_ready)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155))),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12844, 73, 12841])).
% 13.80/9.58 tff(12846,plain,
% 13.80/9.58 (~m_main_v_request(s155)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12845, 12837, 12796])).
% 13.80/9.58 tff(12847,plain,
% 13.80/9.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s155) | (~node4(s155)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s155) | (~node4(s155)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12848,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s155) | (~node4(s155)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12849,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s155) | (~node4(s155))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12848, 12847])).
% 13.80/9.58 tff(12850,plain,
% 13.80/9.58 (~node4(s155)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12849, 21, 12846])).
% 13.80/9.58 tff(12851,plain,
% 13.80/9.58 (node4(s155) | (~until5(s155))),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12499, 294, 12815])).
% 13.80/9.58 tff(12852,plain,
% 13.80/9.58 (~until5(s155)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12851, 12850])).
% 13.80/9.58 tff(12853,plain,
% 13.80/9.58 (~xuntil6(s154)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12488, 12852])).
% 13.80/9.58 tff(12854,plain,
% 13.80/9.58 (node4(s154)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12780, 12853])).
% 13.80/9.58 tff(12855,plain,
% 13.80/9.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s154) | (~node4(s154)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s154) | (~node4(s154)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12856,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s154) | (~node4(s154)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12857,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s154) | (~node4(s154))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12856, 12855])).
% 13.80/9.58 tff(12858,plain,
% 13.80/9.58 (m_main_v_request(s154)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12857, 21, 12854])).
% 13.80/9.58 tff(12859,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s154, s155)) | node2(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s154, s155)) | node2(s154, s155))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12860,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s154, s155)) | node2(s154, s155))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12861,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s154, s155)) | node2(s154, s155)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12860, 12859])).
% 13.80/9.58 tff(12862,plain,
% 13.80/9.58 (node2(s154, s155)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12861, 7, 12458])).
% 13.80/9.58 tff(12863,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12864,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12865,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12864, 12863])).
% 13.80/9.58 tff(12866,plain,
% 13.80/9.58 ((~m_main_v_state(s154, c_ready)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154))),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12865, 73, 12862])).
% 13.80/9.58 tff(12867,plain,
% 13.80/9.58 (~m_main_v_state(s154, c_ready)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12866, 12858, 12833])).
% 13.80/9.58 tff(12868,plain,
% 13.80/9.58 (always3(s154)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12475, 36, 12854])).
% 13.80/9.58 tff(12869,plain,
% 13.80/9.58 (~m_main_v_state(s154, c_busy)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12269, 85, 12868])).
% 13.80/9.58 tff(12870,plain,
% 13.80/9.58 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12871,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12872,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12871, 12870])).
% 13.80/9.58 tff(12873,plain,
% 13.80/9.58 ($false),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12872, 102, 12869, 12867])).
% 13.80/9.58 tff(12874,plain,((~until5(s154)) | xuntil6(s156) | m_main_v_state(s157, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.58 tff(12875,plain,
% 13.80/9.58 (m_main_v_state(s157, c_busy)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12874, 12771, 12298])).
% 13.80/9.58 tff(12876,plain,
% 13.80/9.58 (always3(s157)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12745, 12713, 12242])).
% 13.80/9.58 tff(12877,plain,
% 13.80/9.58 ($false),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12763, 85, 12876, 12875])).
% 13.80/9.58 tff(12878,plain,((~until5(s152)) | xuntil6(s161)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.58 tff(12879,plain,
% 13.80/9.58 (xuntil6(s161)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12878, 12185])).
% 13.80/9.58 tff(12880,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12881,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12882,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12881, 12880])).
% 13.80/9.58 tff(12883,plain,
% 13.80/9.58 ((~xuntil6(s161)) | until5(s162)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12882, 12565, 312])).
% 13.80/9.58 tff(12884,plain,
% 13.80/9.58 (until5(s162)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12883, 12879])).
% 13.80/9.58 tff(12885,assumption,(node4(s162)), introduced(assumption)).
% 13.80/9.58 tff(12886,plain,
% 13.80/9.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s162) | (~node4(s162)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s162) | (~node4(s162)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12887,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s162) | (~node4(s162)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12888,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s162) | (~node4(s162))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 13.80/9.58 tff(12889,plain,
% 13.80/9.58 (m_main_v_request(s162)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12888, 21, 12885])).
% 13.80/9.58 tff(12890,plain,
% 13.80/9.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12891,plain,
% 13.80/9.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12892,plain,
% 13.80/9.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 13.80/9.58 tff(12893,plain,
% 13.80/9.58 (always3(s162)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12892, 36, 12885])).
% 13.80/9.58 tff(12894,plain,
% 13.80/9.58 (succ(s162, s163) <=> succ(s162, s163)),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12895,axiom,(succ(s162, s163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound163')).
% 13.80/9.58 tff(12896,plain,
% 13.80/9.58 (succ(s162, s163)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12895, 12894])).
% 13.80/9.58 tff(12897,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12898,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12899,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12898, 12897])).
% 13.80/9.58 tff(12900,plain,
% 13.80/9.58 (trans(s162, s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12899, 12896, 52])).
% 13.80/9.58 tff(12901,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s162, s163)) | (~always3(s162)) | always3(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s162, s163)) | (~always3(s162)) | always3(s163))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12902,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s162, s163)) | (~always3(s162)) | always3(s163))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12903,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s162, s163)) | (~always3(s162)) | always3(s163)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12902, 12901])).
% 13.80/9.58 tff(12904,plain,
% 13.80/9.58 ((~always3(s162)) | always3(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12903, 125, 12900])).
% 13.80/9.58 tff(12905,plain,
% 13.80/9.58 (always3(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12904, 12893])).
% 13.80/9.58 tff(12906,plain,
% 13.80/9.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s163)) | (~m_main_v_state(s163, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s163)) | (~m_main_v_state(s163, c_busy)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12907,plain,
% 13.80/9.58 (((~m_main_v_state(s163, c_busy)) | (~always3(s163))) <=> ((~always3(s163)) | (~m_main_v_state(s163, c_busy)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12908,plain,
% 13.80/9.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s163, c_busy)) | (~always3(s163)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s163)) | (~m_main_v_state(s163, c_busy))))),
% 13.80/9.58 inference(monotonicity,[status(thm)],[12907])).
% 13.80/9.58 tff(12909,plain,
% 13.80/9.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s163, c_busy)) | (~always3(s163)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s163)) | (~m_main_v_state(s163, c_busy)))),
% 13.80/9.58 inference(transitivity,[status(thm)],[12908, 12906])).
% 13.80/9.58 tff(12910,plain,
% 13.80/9.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s163, c_busy)) | (~always3(s163)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12911,plain,
% 13.80/9.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s163)) | (~m_main_v_state(s163, c_busy))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12910, 12909])).
% 13.80/9.58 tff(12912,plain,
% 13.80/9.58 (~m_main_v_state(s163, c_busy)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12911, 85, 12905])).
% 13.80/9.58 tff(12913,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s162, s163)) | node2(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s162, s163)) | node2(s162, s163))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12914,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s162, s163)) | node2(s162, s163))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12915,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s162, s163)) | node2(s162, s163)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12914, 12913])).
% 13.80/9.58 tff(12916,plain,
% 13.80/9.58 (node2(s162, s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12915, 7, 12900])).
% 13.80/9.58 tff(12917,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12918,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12919,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12918, 12917])).
% 13.80/9.58 tff(12920,plain,
% 13.80/9.58 ((~m_main_v_state(s162, c_ready)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162))),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12919, 73, 12916])).
% 13.80/9.58 tff(12921,plain,
% 13.80/9.58 (~m_main_v_state(s162, c_ready)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12920, 12912, 12889])).
% 13.80/9.58 tff(12922,plain,
% 13.80/9.58 (~m_main_v_state(s162, c_busy)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12580, 85, 12893])).
% 13.80/9.58 tff(12923,plain,
% 13.80/9.58 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12924,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12925,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12924, 12923])).
% 13.80/9.58 tff(12926,plain,
% 13.80/9.58 ($false),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12925, 102, 12922, 12921])).
% 13.80/9.58 tff(12927,plain,(~node4(s162)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.58 tff(12928,plain,
% 13.80/9.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s162) | node4(s162) | (~until5(s162)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12929,plain,
% 13.80/9.58 ((node4(s162) | (~until5(s162)) | xuntil6(s162)) <=> (xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12930,plain,
% 13.80/9.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s162) | node4(s162) | (~until5(s162))))),
% 13.80/9.58 inference(monotonicity,[status(thm)],[12929])).
% 13.80/9.58 tff(12931,plain,
% 13.80/9.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 13.80/9.58 inference(transitivity,[status(thm)],[12930, 12928])).
% 13.80/9.58 tff(12932,plain,
% 13.80/9.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12933,plain,
% 13.80/9.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12932, 12931])).
% 13.80/9.58 tff(12934,plain,
% 13.80/9.58 (xuntil6(s162) | (~until5(s162))),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12933, 294, 12927])).
% 13.80/9.58 tff(12935,plain,
% 13.80/9.58 (xuntil6(s162)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12934, 12884])).
% 13.80/9.58 tff(12936,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12937,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12938,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12937, 12936])).
% 13.80/9.58 tff(12939,plain,
% 13.80/9.58 ((~xuntil6(s162)) | until5(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12938, 12896, 312])).
% 13.80/9.58 tff(12940,plain,
% 13.80/9.58 (until5(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12939, 12935])).
% 13.80/9.58 tff(12941,assumption,(~xuntil6(s163)), introduced(assumption)).
% 13.80/9.58 tff(12942,assumption,(~always3(s163)), introduced(assumption)).
% 13.80/9.58 tff(12943,plain,
% 13.80/9.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12944,plain,
% 13.80/9.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12945,plain,
% 13.80/9.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 13.80/9.58 tff(12946,plain,
% 13.80/9.58 (~node4(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12945, 36, 12942])).
% 13.80/9.58 tff(12947,plain,
% 13.80/9.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s163) | node4(s163) | (~until5(s163)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12948,plain,
% 13.80/9.58 ((node4(s163) | (~until5(s163)) | xuntil6(s163)) <=> (xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(12949,plain,
% 13.80/9.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s163) | node4(s163) | (~until5(s163))))),
% 13.80/9.58 inference(monotonicity,[status(thm)],[12948])).
% 13.80/9.58 tff(12950,plain,
% 13.80/9.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 13.80/9.58 inference(transitivity,[status(thm)],[12949, 12947])).
% 13.80/9.58 tff(12951,plain,
% 13.80/9.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(12952,plain,
% 13.80/9.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[12951, 12950])).
% 13.80/9.58 tff(12953,plain,
% 13.80/9.58 (node4(s163) | (~until5(s163))),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12952, 294, 12941])).
% 13.80/9.58 tff(12954,plain,
% 13.80/9.58 (~until5(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12953, 12946])).
% 13.80/9.58 tff(12955,plain,
% 13.80/9.58 (~xuntil6(s162)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12939, 12954])).
% 13.80/9.58 tff(12956,plain,
% 13.80/9.58 (~until5(s162)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12934, 12955])).
% 13.80/9.58 tff(12957,plain,
% 13.80/9.58 (~always3(s162)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12904, 12942])).
% 13.80/9.58 tff(12958,plain,
% 13.80/9.58 (~always3(s161)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12573, 12957])).
% 13.80/9.58 tff(12959,plain,
% 13.80/9.58 (~always3(s160)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12311, 12958])).
% 13.80/9.58 tff(12960,plain,
% 13.80/9.58 (~always3(s159)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12356, 12959])).
% 13.80/9.58 tff(12961,plain,
% 13.80/9.58 (~always3(s158)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12385, 12960])).
% 13.80/9.58 tff(12962,plain,
% 13.80/9.58 (~always3(s157)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12414, 12961])).
% 13.80/9.58 tff(12963,plain,
% 13.80/9.58 (~always3(s156)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12438, 12962])).
% 13.80/9.58 tff(12964,plain,
% 13.80/9.58 (~always3(s155)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12450, 12963])).
% 13.80/9.58 tff(12965,plain,
% 13.80/9.58 (~always3(s154)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12462, 12964])).
% 13.80/9.58 tff(12966,plain,
% 13.80/9.58 (~always3(s153)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12262, 12965])).
% 13.80/9.58 tff(12967,plain,
% 13.80/9.58 (~always3(s152)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12206, 12966])).
% 13.80/9.58 tff(12968,plain,
% 13.80/9.58 (~always3(s151)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12149, 12967])).
% 13.80/9.58 tff(12969,plain,
% 13.80/9.58 (~node4(s151)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12135, 36, 12968])).
% 13.80/9.58 tff(12970,plain,
% 13.80/9.58 (~always3(s150)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[10326, 12968])).
% 13.80/9.58 tff(12971,plain,
% 13.80/9.58 (~always3(s149)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9315, 12970])).
% 13.80/9.58 tff(12972,plain,
% 13.80/9.58 (~always3(s148)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9360, 12971])).
% 13.80/9.58 tff(12973,plain,
% 13.80/9.58 (~always3(s147)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9389, 12972])).
% 13.80/9.58 tff(12974,plain,
% 13.80/9.58 (~always3(s146)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9418, 12973])).
% 13.80/9.58 tff(12975,plain,
% 13.80/9.58 (~always3(s145)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9447, 12974])).
% 13.80/9.58 tff(12976,plain,
% 13.80/9.58 (~always3(s144)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9476, 12975])).
% 13.80/9.58 tff(12977,plain,
% 13.80/9.58 (~always3(s143)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9191, 12976])).
% 13.80/9.58 tff(12978,plain,
% 13.80/9.58 (~always3(s142)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9513, 12977])).
% 13.80/9.58 tff(12979,plain,
% 13.80/9.58 (~always3(s141)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9272, 12978])).
% 13.80/9.58 tff(12980,plain,
% 13.80/9.58 (~always3(s140)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9557, 12979])).
% 13.80/9.58 tff(12981,plain,
% 13.80/9.58 (~always3(s139)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9586, 12980])).
% 13.80/9.58 tff(12982,plain,
% 13.80/9.58 (~always3(s138)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9615, 12981])).
% 13.80/9.58 tff(12983,plain,
% 13.80/9.58 (~always3(s137)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9644, 12982])).
% 13.80/9.58 tff(12984,plain,
% 13.80/9.58 (~always3(s136)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9673, 12983])).
% 13.80/9.58 tff(12985,plain,
% 13.80/9.58 (~always3(s135)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9702, 12984])).
% 13.80/9.58 tff(12986,plain,
% 13.80/9.58 (~always3(s134)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9731, 12985])).
% 13.80/9.58 tff(12987,plain,
% 13.80/9.58 (~always3(s133)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9760, 12986])).
% 13.80/9.58 tff(12988,plain,
% 13.80/9.58 (~always3(s132)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9772, 12987])).
% 13.80/9.58 tff(12989,plain,
% 13.80/9.58 (~always3(s131)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9784, 12988])).
% 13.80/9.58 tff(12990,plain,
% 13.80/9.58 (~always3(s130)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9796, 12989])).
% 13.80/9.58 tff(12991,plain,
% 13.80/9.58 (~always3(s129)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9808, 12990])).
% 13.80/9.58 tff(12992,plain,
% 13.80/9.58 (~always3(s128)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9820, 12991])).
% 13.80/9.58 tff(12993,plain,
% 13.80/9.58 (~always3(s127)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9832, 12992])).
% 13.80/9.58 tff(12994,plain,
% 13.80/9.58 (~always3(s126)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9844, 12993])).
% 13.80/9.58 tff(12995,plain,
% 13.80/9.58 (~always3(s125)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9856, 12994])).
% 13.80/9.58 tff(12996,plain,
% 13.80/9.58 (~always3(s124)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9868, 12995])).
% 13.80/9.58 tff(12997,plain,
% 13.80/9.58 (~always3(s123)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9880, 12996])).
% 13.80/9.58 tff(12998,plain,
% 13.80/9.58 (~always3(s122)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9892, 12997])).
% 13.80/9.58 tff(12999,plain,
% 13.80/9.58 (~always3(s121)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9904, 12998])).
% 13.80/9.58 tff(13000,plain,
% 13.80/9.58 (~always3(s120)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9916, 12999])).
% 13.80/9.58 tff(13001,plain,
% 13.80/9.58 (~always3(s119)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9928, 13000])).
% 13.80/9.58 tff(13002,plain,
% 13.80/9.58 (~always3(s118)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9940, 13001])).
% 13.80/9.58 tff(13003,plain,
% 13.80/9.58 (~always3(s117)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9952, 13002])).
% 13.80/9.58 tff(13004,plain,
% 13.80/9.58 (~always3(s116)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9968, 13003])).
% 13.80/9.58 tff(13005,plain,
% 13.80/9.58 (~always3(s115)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[8896, 13004])).
% 13.80/9.58 tff(13006,plain,
% 13.80/9.58 (xuntil6(s115)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9162, 13005])).
% 13.80/9.58 tff(13007,plain,
% 13.80/9.58 (until5(s116)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[9170, 13006])).
% 13.80/9.58 tff(13008,plain,
% 13.80/9.58 (xuntil6(s150)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[10266, 13007, 12970])).
% 13.80/9.58 tff(13009,plain,
% 13.80/9.58 (until5(s151)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12081, 13008])).
% 13.80/9.58 tff(13010,plain,
% 13.80/9.58 (xuntil6(s151) | node4(s151)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12130, 294, 13009])).
% 13.80/9.58 tff(13011,plain,
% 13.80/9.58 (xuntil6(s151)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13010, 12969])).
% 13.80/9.58 tff(13012,plain,
% 13.80/9.58 (until5(s152)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12184, 13011])).
% 13.80/9.58 tff(13013,plain,
% 13.80/9.58 (xuntil6(s161)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12524, 13012, 12958])).
% 13.80/9.58 tff(13014,plain,
% 13.80/9.58 ($false),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12883, 13013, 12956])).
% 13.80/9.58 tff(13015,plain,(always3(s163) | xuntil6(s163)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.58 tff(13016,plain,
% 13.80/9.58 (always3(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13015, 12941])).
% 13.80/9.58 tff(13017,plain,
% 13.80/9.58 (succ(s163, s164) <=> succ(s163, s164)),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13018,axiom,(succ(s163, s164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound164')).
% 13.80/9.58 tff(13019,plain,
% 13.80/9.58 (succ(s163, s164)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[13018, 13017])).
% 13.80/9.58 tff(13020,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13021,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(13022,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 13.80/9.58 tff(13023,plain,
% 13.80/9.58 (trans(s163, s164)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13022, 13019, 52])).
% 13.80/9.58 tff(13024,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s163, s164)) | (~always3(s163)) | always3(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s163, s164)) | (~always3(s163)) | always3(s164))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13025,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s163, s164)) | (~always3(s163)) | always3(s164))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(13026,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s163, s164)) | (~always3(s163)) | always3(s164)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[13025, 13024])).
% 13.80/9.58 tff(13027,plain,
% 13.80/9.58 ((~always3(s163)) | always3(s164)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13026, 125, 13023])).
% 13.80/9.58 tff(13028,plain,
% 13.80/9.58 (always3(s164)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13027, 13016])).
% 13.80/9.58 tff(13029,plain,
% 13.80/9.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s164)) | (~m_main_v_state(s164, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s164)) | (~m_main_v_state(s164, c_busy)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13030,plain,
% 13.80/9.58 (((~m_main_v_state(s164, c_busy)) | (~always3(s164))) <=> ((~always3(s164)) | (~m_main_v_state(s164, c_busy)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13031,plain,
% 13.80/9.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s164, c_busy)) | (~always3(s164)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s164)) | (~m_main_v_state(s164, c_busy))))),
% 13.80/9.58 inference(monotonicity,[status(thm)],[13030])).
% 13.80/9.58 tff(13032,plain,
% 13.80/9.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s164, c_busy)) | (~always3(s164)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s164)) | (~m_main_v_state(s164, c_busy)))),
% 13.80/9.58 inference(transitivity,[status(thm)],[13031, 13029])).
% 13.80/9.58 tff(13033,plain,
% 13.80/9.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s164, c_busy)) | (~always3(s164)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(13034,plain,
% 13.80/9.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s164)) | (~m_main_v_state(s164, c_busy))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 13.80/9.58 tff(13035,plain,
% 13.80/9.58 (~m_main_v_state(s164, c_busy)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13034, 85, 13028])).
% 13.80/9.58 tff(13036,assumption,(until5(s163)), introduced(assumption)).
% 13.80/9.58 tff(13037,plain,
% 13.80/9.58 (xuntil6(s163) | node4(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12952, 294, 13036])).
% 13.80/9.58 tff(13038,plain,
% 13.80/9.58 (node4(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13037, 12941])).
% 13.80/9.58 tff(13039,plain,
% 13.80/9.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s163) | (~node4(s163)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s163) | (~node4(s163)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13040,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s163) | (~node4(s163)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(13041,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s163) | (~node4(s163))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[13040, 13039])).
% 13.80/9.58 tff(13042,plain,
% 13.80/9.58 (m_main_v_request(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13041, 21, 13038])).
% 13.80/9.58 tff(13043,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s163, s164)) | node2(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s163, s164)) | node2(s163, s164))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13044,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s163, s164)) | node2(s163, s164))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(13045,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s163, s164)) | node2(s163, s164)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[13044, 13043])).
% 13.80/9.58 tff(13046,plain,
% 13.80/9.58 (node2(s163, s164)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13045, 7, 13023])).
% 13.80/9.58 tff(13047,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163)))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13048,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163)))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(13049,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163))),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[13048, 13047])).
% 13.80/9.58 tff(13050,plain,
% 13.80/9.58 ((~m_main_v_state(s163, c_ready)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163))),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13049, 73, 13046])).
% 13.80/9.58 tff(13051,plain,
% 13.80/9.58 (~m_main_v_state(s163, c_ready)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13050, 13042, 13035])).
% 13.80/9.58 tff(13052,plain,
% 13.80/9.58 (~m_main_v_state(s163, c_busy)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[12911, 85, 13016])).
% 13.80/9.58 tff(13053,plain,
% 13.80/9.58 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13054,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready))),
% 13.80/9.58 inference(quant_inst,[status(thm)],[])).
% 13.80/9.58 tff(13055,plain,
% 13.80/9.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready)),
% 13.80/9.58 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 13.80/9.58 tff(13056,plain,
% 13.80/9.58 ($false),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13055, 102, 13052, 13051])).
% 13.80/9.58 tff(13057,plain,(xuntil6(s163) | (~until5(s163))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.58 tff(13058,plain,
% 13.80/9.58 (xuntil6(s163)),
% 13.80/9.58 inference(unit_resolution,[status(thm)],[13057, 12940])).
% 13.80/9.58 tff(13059,plain,
% 13.80/9.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))),
% 13.80/9.58 inference(rewrite,[status(thm)],[])).
% 13.80/9.58 tff(13060,plain,
% 13.80/9.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13061,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13060, 13059])).
% 13.80/9.59 tff(13062,plain,
% 13.80/9.59 ((~xuntil6(s163)) | until5(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13061, 13019, 312])).
% 13.80/9.59 tff(13063,plain,
% 13.80/9.59 (until5(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13062, 13058])).
% 13.80/9.59 tff(13064,assumption,(until5(s164)), introduced(assumption)).
% 13.80/9.59 tff(13065,assumption,(~xuntil6(s166)), introduced(assumption)).
% 13.80/9.59 tff(13066,assumption,(~always3(s166)), introduced(assumption)).
% 13.80/9.59 tff(13067,plain,
% 13.80/9.59 (succ(s165, s166) <=> succ(s165, s166)),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13068,axiom,(succ(s165, s166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound166')).
% 13.80/9.59 tff(13069,plain,
% 13.80/9.59 (succ(s165, s166)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13068, 13067])).
% 13.80/9.59 tff(13070,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13071,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13072,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13071, 13070])).
% 13.80/9.59 tff(13073,plain,
% 13.80/9.59 (trans(s165, s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13072, 13069, 52])).
% 13.80/9.59 tff(13074,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s165, s166)) | (~always3(s165)) | always3(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s165, s166)) | (~always3(s165)) | always3(s166))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13075,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s165, s166)) | (~always3(s165)) | always3(s166))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13076,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s165, s166)) | (~always3(s165)) | always3(s166)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13075, 13074])).
% 13.80/9.59 tff(13077,plain,
% 13.80/9.59 ((~always3(s165)) | always3(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13076, 125, 13073])).
% 13.80/9.59 tff(13078,plain,
% 13.80/9.59 (~always3(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13077, 13066])).
% 13.80/9.59 tff(13079,plain,
% 13.80/9.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13080,plain,
% 13.80/9.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13081,plain,
% 13.80/9.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13080, 13079])).
% 13.80/9.59 tff(13082,plain,
% 13.80/9.59 (~node4(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13081, 36, 13078])).
% 13.80/9.59 tff(13083,plain,
% 13.80/9.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s166) | (~node4(s166)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s166) | (~node4(s166)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13084,plain,
% 13.80/9.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s166) | (~node4(s166)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13085,plain,
% 13.80/9.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s166) | (~node4(s166))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13084, 13083])).
% 13.80/9.59 tff(13086,plain,
% 13.80/9.59 (~node4(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13085, 36, 13066])).
% 13.80/9.59 tff(13087,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s166) | node4(s166) | (~until5(s166)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s166) | node4(s166) | (~until5(s166)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13088,plain,
% 13.80/9.59 ((node4(s166) | (~until5(s166)) | xuntil6(s166)) <=> (xuntil6(s166) | node4(s166) | (~until5(s166)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13089,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s166) | (~until5(s166)) | xuntil6(s166))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s166) | node4(s166) | (~until5(s166))))),
% 13.80/9.59 inference(monotonicity,[status(thm)],[13088])).
% 13.80/9.59 tff(13090,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s166) | (~until5(s166)) | xuntil6(s166))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s166) | node4(s166) | (~until5(s166)))),
% 13.80/9.59 inference(transitivity,[status(thm)],[13089, 13087])).
% 13.80/9.59 tff(13091,plain,
% 13.80/9.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s166) | (~until5(s166)) | xuntil6(s166))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13092,plain,
% 13.80/9.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s166) | node4(s166) | (~until5(s166))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13091, 13090])).
% 13.80/9.59 tff(13093,plain,
% 13.80/9.59 (node4(s166) | (~until5(s166))),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13092, 294, 13065])).
% 13.80/9.59 tff(13094,plain,
% 13.80/9.59 (~until5(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13093, 13086])).
% 13.80/9.59 tff(13095,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13096,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13097,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13096, 13095])).
% 13.80/9.59 tff(13098,plain,
% 13.80/9.59 ((~xuntil6(s165)) | until5(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13097, 13069, 312])).
% 13.80/9.59 tff(13099,plain,
% 13.80/9.59 (~xuntil6(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13098, 13094])).
% 13.80/9.59 tff(13100,plain,
% 13.80/9.59 (succ(s164, s165) <=> succ(s164, s165)),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13101,axiom,(succ(s164, s165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound165')).
% 13.80/9.59 tff(13102,plain,
% 13.80/9.59 (succ(s164, s165)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 13.80/9.59 tff(13103,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13104,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13105,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13104, 13103])).
% 13.80/9.59 tff(13106,plain,
% 13.80/9.59 (trans(s164, s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13105, 13102, 52])).
% 13.80/9.59 tff(13107,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s164, s165)) | (~always3(s164)) | always3(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s164, s165)) | (~always3(s164)) | always3(s165))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13108,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s164, s165)) | (~always3(s164)) | always3(s165))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13109,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s164, s165)) | (~always3(s164)) | always3(s165)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13108, 13107])).
% 13.80/9.59 tff(13110,plain,
% 13.80/9.59 ((~always3(s164)) | always3(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13109, 125, 13106])).
% 13.80/9.59 tff(13111,plain,
% 13.80/9.59 (~always3(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13110, 13078])).
% 13.80/9.59 tff(13112,plain,
% 13.80/9.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13113,plain,
% 13.80/9.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13114,plain,
% 13.80/9.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13113, 13112])).
% 13.80/9.59 tff(13115,plain,
% 13.80/9.59 (~node4(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13114, 36, 13111])).
% 13.80/9.59 tff(13116,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s164) | node4(s164) | (~until5(s164)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13117,plain,
% 13.80/9.59 ((node4(s164) | (~until5(s164)) | xuntil6(s164)) <=> (xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13118,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s164) | node4(s164) | (~until5(s164))))),
% 13.80/9.59 inference(monotonicity,[status(thm)],[13117])).
% 13.80/9.59 tff(13119,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 13.80/9.59 inference(transitivity,[status(thm)],[13118, 13116])).
% 13.80/9.59 tff(13120,plain,
% 13.80/9.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13121,plain,
% 13.80/9.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13120, 13119])).
% 13.80/9.59 tff(13122,plain,
% 13.80/9.59 (xuntil6(s164) | node4(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13121, 294, 13064])).
% 13.80/9.59 tff(13123,plain,
% 13.80/9.59 (xuntil6(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13122, 13115])).
% 13.80/9.59 tff(13124,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13125,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13126,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 13.80/9.59 tff(13127,plain,
% 13.80/9.59 ((~xuntil6(s164)) | until5(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13126, 13102, 312])).
% 13.80/9.59 tff(13128,plain,
% 13.80/9.59 (until5(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13127, 13123])).
% 13.80/9.59 tff(13129,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s165) | node4(s165) | (~until5(s165)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13130,plain,
% 13.80/9.59 ((node4(s165) | (~until5(s165)) | xuntil6(s165)) <=> (xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13131,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s165) | node4(s165) | (~until5(s165))))),
% 13.80/9.59 inference(monotonicity,[status(thm)],[13130])).
% 13.80/9.59 tff(13132,plain,
% 13.80/9.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 13.80/9.59 inference(transitivity,[status(thm)],[13131, 13129])).
% 13.80/9.59 tff(13133,plain,
% 13.80/9.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13134,plain,
% 13.80/9.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s165) | node4(s165) | (~until5(s165))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13133, 13132])).
% 13.80/9.59 tff(13135,plain,
% 13.80/9.59 ($false),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13134, 294, 13128, 13099, 13082])).
% 13.80/9.59 tff(13136,plain,(always3(s166) | (~until5(s164)) | xuntil6(s166)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.59 tff(13137,plain,
% 13.80/9.59 (always3(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13136, 13065, 13064])).
% 13.80/9.59 tff(13138,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s166)) | (~m_main_v_state(s166, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s166)) | (~m_main_v_state(s166, c_busy)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13139,plain,
% 13.80/9.59 (((~m_main_v_state(s166, c_busy)) | (~always3(s166))) <=> ((~always3(s166)) | (~m_main_v_state(s166, c_busy)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13140,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s166, c_busy)) | (~always3(s166)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s166)) | (~m_main_v_state(s166, c_busy))))),
% 13.80/9.59 inference(monotonicity,[status(thm)],[13139])).
% 13.80/9.59 tff(13141,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s166, c_busy)) | (~always3(s166)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s166)) | (~m_main_v_state(s166, c_busy)))),
% 13.80/9.59 inference(transitivity,[status(thm)],[13140, 13138])).
% 13.80/9.59 tff(13142,plain,
% 13.80/9.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s166, c_busy)) | (~always3(s166)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13143,plain,
% 13.80/9.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s166)) | (~m_main_v_state(s166, c_busy))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13142, 13141])).
% 13.80/9.59 tff(13144,plain,
% 13.80/9.59 (~m_main_v_state(s166, c_busy)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13143, 85, 13137])).
% 13.80/9.59 tff(13145,plain,
% 13.80/9.59 (succ(s166, s167) <=> succ(s166, s167)),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13146,axiom,(succ(s166, s167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound167')).
% 13.80/9.59 tff(13147,plain,
% 13.80/9.59 (succ(s166, s167)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13146, 13145])).
% 13.80/9.59 tff(13148,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13149,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13150,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 13.80/9.59 tff(13151,plain,
% 13.80/9.59 (trans(s166, s167)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13150, 13147, 52])).
% 13.80/9.59 tff(13152,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s166, s167)) | (~always3(s166)) | always3(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s166, s167)) | (~always3(s166)) | always3(s167))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13153,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s166, s167)) | (~always3(s166)) | always3(s167))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13154,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s166, s167)) | (~always3(s166)) | always3(s167)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13153, 13152])).
% 13.80/9.59 tff(13155,plain,
% 13.80/9.59 ((~always3(s166)) | always3(s167)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13154, 125, 13151])).
% 13.80/9.59 tff(13156,plain,
% 13.80/9.59 (always3(s167)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13155, 13137])).
% 13.80/9.59 tff(13157,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s167)) | (~m_main_v_state(s167, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s167)) | (~m_main_v_state(s167, c_busy)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13158,plain,
% 13.80/9.59 (((~m_main_v_state(s167, c_busy)) | (~always3(s167))) <=> ((~always3(s167)) | (~m_main_v_state(s167, c_busy)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13159,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s167, c_busy)) | (~always3(s167)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s167)) | (~m_main_v_state(s167, c_busy))))),
% 13.80/9.59 inference(monotonicity,[status(thm)],[13158])).
% 13.80/9.59 tff(13160,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s167, c_busy)) | (~always3(s167)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s167)) | (~m_main_v_state(s167, c_busy)))),
% 13.80/9.59 inference(transitivity,[status(thm)],[13159, 13157])).
% 13.80/9.59 tff(13161,plain,
% 13.80/9.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s167, c_busy)) | (~always3(s167)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13162,plain,
% 13.80/9.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s167)) | (~m_main_v_state(s167, c_busy))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13161, 13160])).
% 13.80/9.59 tff(13163,plain,
% 13.80/9.59 (~m_main_v_state(s167, c_busy)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13162, 85, 13156])).
% 13.80/9.59 tff(13164,assumption,(until5(s166)), introduced(assumption)).
% 13.80/9.59 tff(13165,plain,
% 13.80/9.59 (xuntil6(s166) | node4(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13092, 294, 13164])).
% 13.80/9.59 tff(13166,plain,
% 13.80/9.59 (node4(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13165, 13065])).
% 13.80/9.59 tff(13167,plain,
% 13.80/9.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s166) | (~node4(s166)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s166) | (~node4(s166)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13168,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s166) | (~node4(s166)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13169,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s166) | (~node4(s166))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13168, 13167])).
% 13.80/9.59 tff(13170,plain,
% 13.80/9.59 (m_main_v_request(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13169, 21, 13166])).
% 13.80/9.59 tff(13171,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s166, s167)) | node2(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s166, s167)) | node2(s166, s167))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13172,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s166, s167)) | node2(s166, s167))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13173,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s166, s167)) | node2(s166, s167)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13172, 13171])).
% 13.80/9.59 tff(13174,plain,
% 13.80/9.59 (node2(s166, s167)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13173, 7, 13151])).
% 13.80/9.59 tff(13175,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13176,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13177,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13176, 13175])).
% 13.80/9.59 tff(13178,plain,
% 13.80/9.59 ((~m_main_v_state(s166, c_ready)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166))),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13177, 73, 13174])).
% 13.80/9.59 tff(13179,plain,
% 13.80/9.59 (~m_main_v_state(s166, c_ready)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13178, 13170, 13163])).
% 13.80/9.59 tff(13180,plain,
% 13.80/9.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13181,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13182,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 13.80/9.59 tff(13183,plain,
% 13.80/9.59 ($false),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13182, 102, 13144, 13179])).
% 13.80/9.59 tff(13184,plain,(xuntil6(s166) | (~until5(s166)) | (~until5(s164))), inference(lemma,lemma(discharge,[]))).
% 13.80/9.59 tff(13185,plain,
% 13.80/9.59 (~until5(s166)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13184, 13065, 13064])).
% 13.80/9.59 tff(13186,plain,
% 13.80/9.59 (~xuntil6(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13098, 13185])).
% 13.80/9.59 tff(13187,assumption,(node4(s164)), introduced(assumption)).
% 13.80/9.59 tff(13188,plain,
% 13.80/9.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s164) | (~node4(s164)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s164) | (~node4(s164)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13189,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s164) | (~node4(s164)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13190,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s164) | (~node4(s164))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13189, 13188])).
% 13.80/9.59 tff(13191,plain,
% 13.80/9.59 (m_main_v_request(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13190, 21, 13187])).
% 13.80/9.59 tff(13192,plain,
% 13.80/9.59 (always3(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13114, 36, 13187])).
% 13.80/9.59 tff(13193,plain,
% 13.80/9.59 (always3(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13110, 13192])).
% 13.80/9.59 tff(13194,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s165)) | (~m_main_v_state(s165, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s165)) | (~m_main_v_state(s165, c_busy)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13195,plain,
% 13.80/9.59 (((~m_main_v_state(s165, c_busy)) | (~always3(s165))) <=> ((~always3(s165)) | (~m_main_v_state(s165, c_busy)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13196,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s165, c_busy)) | (~always3(s165)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s165)) | (~m_main_v_state(s165, c_busy))))),
% 13.80/9.59 inference(monotonicity,[status(thm)],[13195])).
% 13.80/9.59 tff(13197,plain,
% 13.80/9.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s165, c_busy)) | (~always3(s165)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s165)) | (~m_main_v_state(s165, c_busy)))),
% 13.80/9.59 inference(transitivity,[status(thm)],[13196, 13194])).
% 13.80/9.59 tff(13198,plain,
% 13.80/9.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s165, c_busy)) | (~always3(s165)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13199,plain,
% 13.80/9.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s165)) | (~m_main_v_state(s165, c_busy))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 13.80/9.59 tff(13200,plain,
% 13.80/9.59 (~m_main_v_state(s165, c_busy)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13199, 85, 13193])).
% 13.80/9.59 tff(13201,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s164, s165)) | node2(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s164, s165)) | node2(s164, s165))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13202,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s164, s165)) | node2(s164, s165))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13203,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s164, s165)) | node2(s164, s165)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13202, 13201])).
% 13.80/9.59 tff(13204,plain,
% 13.80/9.59 (node2(s164, s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13203, 7, 13106])).
% 13.80/9.59 tff(13205,plain,
% 13.80/9.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13206,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164)))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13207,plain,
% 13.80/9.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164))),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13206, 13205])).
% 13.80/9.59 tff(13208,plain,
% 13.80/9.59 ((~m_main_v_state(s164, c_ready)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164))),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13207, 73, 13204])).
% 13.80/9.59 tff(13209,plain,
% 13.80/9.59 (~m_main_v_state(s164, c_ready)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13208, 13200, 13191])).
% 13.80/9.59 tff(13210,plain,
% 13.80/9.59 (~m_main_v_state(s164, c_busy)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13034, 85, 13192])).
% 13.80/9.59 tff(13211,plain,
% 13.80/9.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13212,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready))),
% 13.80/9.59 inference(quant_inst,[status(thm)],[])).
% 13.80/9.59 tff(13213,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready)),
% 13.80/9.59 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 13.80/9.59 tff(13214,plain,
% 13.80/9.59 ($false),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13213, 102, 13210, 13209])).
% 13.80/9.59 tff(13215,plain,(~node4(s164)), inference(lemma,lemma(discharge,[]))).
% 13.80/9.59 tff(13216,plain,
% 13.80/9.59 (xuntil6(s164) | (~until5(s164))),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13121, 294, 13215])).
% 13.80/9.59 tff(13217,plain,
% 13.80/9.59 (xuntil6(s164)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13216, 13064])).
% 13.80/9.59 tff(13218,plain,
% 13.80/9.59 (until5(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13127, 13217])).
% 13.80/9.59 tff(13219,plain,
% 13.80/9.59 (xuntil6(s165) | node4(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13134, 294, 13218])).
% 13.80/9.59 tff(13220,plain,
% 13.80/9.59 (node4(s165)),
% 13.80/9.59 inference(unit_resolution,[status(thm)],[13219, 13186])).
% 13.80/9.59 tff(13221,plain,
% 13.80/9.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s165) | (~node4(s165)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s165) | (~node4(s165)))),
% 13.80/9.59 inference(rewrite,[status(thm)],[])).
% 13.80/9.59 tff(13222,plain,
% 13.80/9.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s165) | (~node4(s165)))),
% 13.89/9.59 inference(quant_inst,[status(thm)],[])).
% 13.89/9.59 tff(13223,plain,
% 13.89/9.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s165) | (~node4(s165))),
% 13.89/9.59 inference(modus_ponens,[status(thm)],[13222, 13221])).
% 13.89/9.59 tff(13224,plain,
% 13.89/9.59 (m_main_v_request(s165)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13223, 21, 13220])).
% 13.89/9.59 tff(13225,plain,
% 13.89/9.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s165, s166)) | node2(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s165, s166)) | node2(s165, s166))),
% 13.89/9.59 inference(rewrite,[status(thm)],[])).
% 13.89/9.59 tff(13226,plain,
% 13.89/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s165, s166)) | node2(s165, s166))),
% 13.89/9.59 inference(quant_inst,[status(thm)],[])).
% 13.89/9.59 tff(13227,plain,
% 13.89/9.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s165, s166)) | node2(s165, s166)),
% 13.89/9.59 inference(modus_ponens,[status(thm)],[13226, 13225])).
% 13.89/9.59 tff(13228,plain,
% 13.89/9.59 (node2(s165, s166)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13227, 7, 13073])).
% 13.89/9.59 tff(13229,plain,
% 13.89/9.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165)))),
% 13.89/9.59 inference(rewrite,[status(thm)],[])).
% 13.89/9.59 tff(13230,plain,
% 13.89/9.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165)))),
% 13.89/9.59 inference(quant_inst,[status(thm)],[])).
% 13.89/9.59 tff(13231,plain,
% 13.89/9.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165))),
% 13.89/9.59 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 13.89/9.59 tff(13232,plain,
% 13.89/9.59 ((~m_main_v_state(s165, c_ready)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165))),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13231, 73, 13228])).
% 13.89/9.59 tff(13233,plain,
% 13.89/9.59 (~m_main_v_state(s165, c_ready)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13232, 13224, 13144])).
% 13.89/9.59 tff(13234,plain,
% 13.89/9.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready))),
% 13.89/9.59 inference(rewrite,[status(thm)],[])).
% 13.89/9.59 tff(13235,plain,
% 13.89/9.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready))),
% 13.89/9.59 inference(quant_inst,[status(thm)],[])).
% 13.89/9.59 tff(13236,plain,
% 13.89/9.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready)),
% 13.89/9.59 inference(modus_ponens,[status(thm)],[13235, 13234])).
% 13.89/9.59 tff(13237,plain,
% 13.89/9.59 (m_main_v_state(s165, c_busy)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13236, 102, 13233])).
% 13.89/9.59 tff(13238,plain,
% 13.89/9.59 (always3(s165)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13081, 36, 13220])).
% 13.89/9.59 tff(13239,plain,
% 13.89/9.59 ($false),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13199, 85, 13238, 13237])).
% 13.89/9.59 tff(13240,plain,(xuntil6(s166) | (~until5(s164))), inference(lemma,lemma(discharge,[]))).
% 13.89/9.59 tff(13241,plain,
% 13.89/9.59 (xuntil6(s166)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13240, 13063])).
% 13.89/9.59 tff(13242,plain,
% 13.89/9.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))),
% 13.89/9.59 inference(rewrite,[status(thm)],[])).
% 13.89/9.59 tff(13243,plain,
% 13.89/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))),
% 13.89/9.59 inference(quant_inst,[status(thm)],[])).
% 13.89/9.59 tff(13244,plain,
% 13.89/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167)),
% 13.89/9.59 inference(modus_ponens,[status(thm)],[13243, 13242])).
% 13.89/9.59 tff(13245,plain,
% 13.89/9.59 ((~xuntil6(s166)) | until5(s167)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13244, 13147, 312])).
% 13.89/9.59 tff(13246,plain,
% 13.89/9.59 (until5(s167)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13245, 13241])).
% 13.89/9.59 tff(13247,assumption,(until5(s167)), introduced(assumption)).
% 13.89/9.59 tff(13248,assumption,(~xuntil6(s170)), introduced(assumption)).
% 13.89/9.59 tff(13249,assumption,(~always3(s170)), introduced(assumption)).
% 13.89/9.59 tff(13250,plain,
% 13.89/9.59 (succ(s169, s170) <=> succ(s169, s170)),
% 13.89/9.59 inference(rewrite,[status(thm)],[])).
% 13.89/9.59 tff(13251,axiom,(succ(s169, s170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound170')).
% 13.89/9.59 tff(13252,plain,
% 13.89/9.59 (succ(s169, s170)),
% 13.89/9.59 inference(modus_ponens,[status(thm)],[13251, 13250])).
% 13.89/9.59 tff(13253,plain,
% 13.89/9.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170))),
% 13.89/9.59 inference(rewrite,[status(thm)],[])).
% 13.89/9.59 tff(13254,plain,
% 13.89/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 13.89/9.59 inference(quant_inst,[status(thm)],[])).
% 13.89/9.59 tff(13255,plain,
% 13.89/9.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 13.89/9.59 inference(modus_ponens,[status(thm)],[13254, 13253])).
% 13.89/9.59 tff(13256,plain,
% 13.89/9.59 (trans(s169, s170)),
% 13.89/9.59 inference(unit_resolution,[status(thm)],[13255, 13252, 52])).
% 13.89/9.59 tff(13257,plain,
% 13.89/9.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s169, s170)) | (~always3(s169)) | always3(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s169, s170)) | (~always3(s169)) | always3(s170))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13258,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s169, s170)) | (~always3(s169)) | always3(s170))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13259,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s169, s170)) | (~always3(s169)) | always3(s170)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13258, 13257])).
% 13.89/9.60 tff(13260,plain,
% 13.89/9.60 ((~always3(s169)) | always3(s170)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13259, 125, 13256])).
% 13.89/9.60 tff(13261,plain,
% 13.89/9.60 (~always3(s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13260, 13249])).
% 13.89/9.60 tff(13262,plain,
% 13.89/9.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13263,plain,
% 13.89/9.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13264,plain,
% 13.89/9.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13263, 13262])).
% 13.89/9.60 tff(13265,plain,
% 13.89/9.60 (~node4(s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13264, 36, 13261])).
% 13.89/9.60 tff(13266,plain,
% 13.89/9.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s170) | (~node4(s170)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s170) | (~node4(s170)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13267,plain,
% 13.89/9.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s170) | (~node4(s170)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13268,plain,
% 13.89/9.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s170) | (~node4(s170))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13267, 13266])).
% 13.89/9.60 tff(13269,plain,
% 13.89/9.60 (~node4(s170)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13268, 36, 13249])).
% 13.89/9.60 tff(13270,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s170) | node4(s170) | (~until5(s170)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s170) | node4(s170) | (~until5(s170)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13271,plain,
% 13.89/9.60 ((node4(s170) | (~until5(s170)) | xuntil6(s170)) <=> (xuntil6(s170) | node4(s170) | (~until5(s170)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13272,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s170) | (~until5(s170)) | xuntil6(s170))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s170) | node4(s170) | (~until5(s170))))),
% 13.89/9.60 inference(monotonicity,[status(thm)],[13271])).
% 13.89/9.60 tff(13273,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s170) | (~until5(s170)) | xuntil6(s170))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s170) | node4(s170) | (~until5(s170)))),
% 13.89/9.60 inference(transitivity,[status(thm)],[13272, 13270])).
% 13.89/9.60 tff(13274,plain,
% 13.89/9.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s170) | (~until5(s170)) | xuntil6(s170))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13275,plain,
% 13.89/9.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s170) | node4(s170) | (~until5(s170))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13274, 13273])).
% 13.89/9.60 tff(13276,plain,
% 13.89/9.60 (node4(s170) | (~until5(s170))),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13275, 294, 13248])).
% 13.89/9.60 tff(13277,plain,
% 13.89/9.60 (~until5(s170)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13276, 13269])).
% 13.89/9.60 tff(13278,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13279,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13280,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 13.89/9.60 tff(13281,plain,
% 13.89/9.60 ((~xuntil6(s169)) | until5(s170)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13280, 13252, 312])).
% 13.89/9.60 tff(13282,plain,
% 13.89/9.60 (~xuntil6(s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13281, 13277])).
% 13.89/9.60 tff(13283,plain,
% 13.89/9.60 (succ(s168, s169) <=> succ(s168, s169)),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13284,axiom,(succ(s168, s169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound169')).
% 13.89/9.60 tff(13285,plain,
% 13.89/9.60 (succ(s168, s169)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13284, 13283])).
% 13.89/9.60 tff(13286,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13287,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13288,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13287, 13286])).
% 13.89/9.60 tff(13289,plain,
% 13.89/9.60 (trans(s168, s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13288, 13285, 52])).
% 13.89/9.60 tff(13290,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s168, s169)) | (~always3(s168)) | always3(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s168, s169)) | (~always3(s168)) | always3(s169))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13291,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s168, s169)) | (~always3(s168)) | always3(s169))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13292,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s168, s169)) | (~always3(s168)) | always3(s169)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13291, 13290])).
% 13.89/9.60 tff(13293,plain,
% 13.89/9.60 ((~always3(s168)) | always3(s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13292, 125, 13289])).
% 13.89/9.60 tff(13294,plain,
% 13.89/9.60 (~always3(s168)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13293, 13261])).
% 13.89/9.60 tff(13295,plain,
% 13.89/9.60 (succ(s167, s168) <=> succ(s167, s168)),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13296,axiom,(succ(s167, s168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound168')).
% 13.89/9.60 tff(13297,plain,
% 13.89/9.60 (succ(s167, s168)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 13.89/9.60 tff(13298,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13299,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13300,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13299, 13298])).
% 13.89/9.60 tff(13301,plain,
% 13.89/9.60 (trans(s167, s168)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13300, 13297, 52])).
% 13.89/9.60 tff(13302,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s167, s168)) | (~always3(s167)) | always3(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s167, s168)) | (~always3(s167)) | always3(s168))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13303,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s167, s168)) | (~always3(s167)) | always3(s168))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13304,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s167, s168)) | (~always3(s167)) | always3(s168)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13303, 13302])).
% 13.89/9.60 tff(13305,plain,
% 13.89/9.60 ((~always3(s167)) | always3(s168)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13304, 125, 13301])).
% 13.89/9.60 tff(13306,plain,
% 13.89/9.60 (~always3(s167)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13305, 13294])).
% 13.89/9.60 tff(13307,plain,
% 13.89/9.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13308,plain,
% 13.89/9.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13309,plain,
% 13.89/9.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13308, 13307])).
% 13.89/9.60 tff(13310,plain,
% 13.89/9.60 (~node4(s167)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13309, 36, 13306])).
% 13.89/9.60 tff(13311,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s167) | node4(s167) | (~until5(s167)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s167) | node4(s167) | (~until5(s167)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13312,plain,
% 13.89/9.60 ((node4(s167) | (~until5(s167)) | xuntil6(s167)) <=> (xuntil6(s167) | node4(s167) | (~until5(s167)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13313,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s167) | (~until5(s167)) | xuntil6(s167))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s167) | node4(s167) | (~until5(s167))))),
% 13.89/9.60 inference(monotonicity,[status(thm)],[13312])).
% 13.89/9.60 tff(13314,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s167) | (~until5(s167)) | xuntil6(s167))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s167) | node4(s167) | (~until5(s167)))),
% 13.89/9.60 inference(transitivity,[status(thm)],[13313, 13311])).
% 13.89/9.60 tff(13315,plain,
% 13.89/9.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s167) | (~until5(s167)) | xuntil6(s167))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13316,plain,
% 13.89/9.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s167) | node4(s167) | (~until5(s167))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 13.89/9.60 tff(13317,plain,
% 13.89/9.60 (xuntil6(s167) | node4(s167)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13316, 294, 13247])).
% 13.89/9.60 tff(13318,plain,
% 13.89/9.60 (xuntil6(s167)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13317, 13310])).
% 13.89/9.60 tff(13319,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13320,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13321,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13320, 13319])).
% 13.89/9.60 tff(13322,plain,
% 13.89/9.60 ((~xuntil6(s167)) | until5(s168)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13321, 13297, 312])).
% 13.89/9.60 tff(13323,plain,
% 13.89/9.60 (until5(s168)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13322, 13318])).
% 13.89/9.60 tff(13324,assumption,(node4(s168)), introduced(assumption)).
% 13.89/9.60 tff(13325,plain,
% 13.89/9.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s168) | (~node4(s168)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s168) | (~node4(s168)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13326,plain,
% 13.89/9.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s168) | (~node4(s168)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13327,plain,
% 13.89/9.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s168) | (~node4(s168))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13326, 13325])).
% 13.89/9.60 tff(13328,plain,
% 13.89/9.60 (m_main_v_request(s168)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13327, 21, 13324])).
% 13.89/9.60 tff(13329,plain,
% 13.89/9.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13330,plain,
% 13.89/9.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13331,plain,
% 13.89/9.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13330, 13329])).
% 13.89/9.60 tff(13332,plain,
% 13.89/9.60 (always3(s168)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13331, 36, 13324])).
% 13.89/9.60 tff(13333,plain,
% 13.89/9.60 (always3(s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13293, 13332])).
% 13.89/9.60 tff(13334,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s169)) | (~m_main_v_state(s169, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s169)) | (~m_main_v_state(s169, c_busy)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13335,plain,
% 13.89/9.60 (((~m_main_v_state(s169, c_busy)) | (~always3(s169))) <=> ((~always3(s169)) | (~m_main_v_state(s169, c_busy)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13336,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s169, c_busy)) | (~always3(s169)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s169)) | (~m_main_v_state(s169, c_busy))))),
% 13.89/9.60 inference(monotonicity,[status(thm)],[13335])).
% 13.89/9.60 tff(13337,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s169, c_busy)) | (~always3(s169)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s169)) | (~m_main_v_state(s169, c_busy)))),
% 13.89/9.60 inference(transitivity,[status(thm)],[13336, 13334])).
% 13.89/9.60 tff(13338,plain,
% 13.89/9.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s169, c_busy)) | (~always3(s169)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13339,plain,
% 13.89/9.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s169)) | (~m_main_v_state(s169, c_busy))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13338, 13337])).
% 13.89/9.60 tff(13340,plain,
% 13.89/9.60 (~m_main_v_state(s169, c_busy)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13339, 85, 13333])).
% 13.89/9.60 tff(13341,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s168, s169)) | node2(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s168, s169)) | node2(s168, s169))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13342,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s168, s169)) | node2(s168, s169))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13343,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s168, s169)) | node2(s168, s169)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13342, 13341])).
% 13.89/9.60 tff(13344,plain,
% 13.89/9.60 (node2(s168, s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13343, 7, 13289])).
% 13.89/9.60 tff(13345,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13346,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13347,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13346, 13345])).
% 13.89/9.60 tff(13348,plain,
% 13.89/9.60 ((~m_main_v_state(s168, c_ready)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168))),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13347, 73, 13344])).
% 13.89/9.60 tff(13349,plain,
% 13.89/9.60 (~m_main_v_state(s168, c_ready)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13348, 13340, 13328])).
% 13.89/9.60 tff(13350,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s168)) | (~m_main_v_state(s168, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s168)) | (~m_main_v_state(s168, c_busy)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13351,plain,
% 13.89/9.60 (((~m_main_v_state(s168, c_busy)) | (~always3(s168))) <=> ((~always3(s168)) | (~m_main_v_state(s168, c_busy)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13352,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s168, c_busy)) | (~always3(s168)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s168)) | (~m_main_v_state(s168, c_busy))))),
% 13.89/9.60 inference(monotonicity,[status(thm)],[13351])).
% 13.89/9.60 tff(13353,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s168, c_busy)) | (~always3(s168)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s168)) | (~m_main_v_state(s168, c_busy)))),
% 13.89/9.60 inference(transitivity,[status(thm)],[13352, 13350])).
% 13.89/9.60 tff(13354,plain,
% 13.89/9.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s168, c_busy)) | (~always3(s168)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13355,plain,
% 13.89/9.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s168)) | (~m_main_v_state(s168, c_busy))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13354, 13353])).
% 13.89/9.60 tff(13356,plain,
% 13.89/9.60 (~m_main_v_state(s168, c_busy)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13355, 85, 13332])).
% 13.89/9.60 tff(13357,plain,
% 13.89/9.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13358,plain,
% 13.89/9.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13359,plain,
% 13.89/9.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13358, 13357])).
% 13.89/9.60 tff(13360,plain,
% 13.89/9.60 ($false),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13359, 102, 13356, 13349])).
% 13.89/9.60 tff(13361,plain,(~node4(s168)), inference(lemma,lemma(discharge,[]))).
% 13.89/9.60 tff(13362,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s168) | node4(s168) | (~until5(s168)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s168) | node4(s168) | (~until5(s168)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13363,plain,
% 13.89/9.60 ((node4(s168) | (~until5(s168)) | xuntil6(s168)) <=> (xuntil6(s168) | node4(s168) | (~until5(s168)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13364,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s168) | (~until5(s168)) | xuntil6(s168))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s168) | node4(s168) | (~until5(s168))))),
% 13.89/9.60 inference(monotonicity,[status(thm)],[13363])).
% 13.89/9.60 tff(13365,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s168) | (~until5(s168)) | xuntil6(s168))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s168) | node4(s168) | (~until5(s168)))),
% 13.89/9.60 inference(transitivity,[status(thm)],[13364, 13362])).
% 13.89/9.60 tff(13366,plain,
% 13.89/9.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s168) | (~until5(s168)) | xuntil6(s168))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13367,plain,
% 13.89/9.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s168) | node4(s168) | (~until5(s168))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13366, 13365])).
% 13.89/9.60 tff(13368,plain,
% 13.89/9.60 (xuntil6(s168) | (~until5(s168))),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13367, 294, 13361])).
% 13.89/9.60 tff(13369,plain,
% 13.89/9.60 (xuntil6(s168)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13368, 13323])).
% 13.89/9.60 tff(13370,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13371,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13372,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 13.89/9.60 tff(13373,plain,
% 13.89/9.60 ((~xuntil6(s168)) | until5(s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13372, 13285, 312])).
% 13.89/9.60 tff(13374,plain,
% 13.89/9.60 (until5(s169)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13373, 13369])).
% 13.89/9.60 tff(13375,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s169) | node4(s169) | (~until5(s169)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s169) | node4(s169) | (~until5(s169)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13376,plain,
% 13.89/9.60 ((node4(s169) | (~until5(s169)) | xuntil6(s169)) <=> (xuntil6(s169) | node4(s169) | (~until5(s169)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13377,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s169) | (~until5(s169)) | xuntil6(s169))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s169) | node4(s169) | (~until5(s169))))),
% 13.89/9.60 inference(monotonicity,[status(thm)],[13376])).
% 13.89/9.60 tff(13378,plain,
% 13.89/9.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s169) | (~until5(s169)) | xuntil6(s169))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s169) | node4(s169) | (~until5(s169)))),
% 13.89/9.60 inference(transitivity,[status(thm)],[13377, 13375])).
% 13.89/9.60 tff(13379,plain,
% 13.89/9.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s169) | (~until5(s169)) | xuntil6(s169))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13380,plain,
% 13.89/9.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s169) | node4(s169) | (~until5(s169))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 13.89/9.60 tff(13381,plain,
% 13.89/9.60 ($false),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13380, 294, 13374, 13282, 13265])).
% 13.89/9.60 tff(13382,plain,(always3(s170) | (~until5(s167)) | xuntil6(s170)), inference(lemma,lemma(discharge,[]))).
% 13.89/9.60 tff(13383,plain,
% 13.89/9.60 (always3(s170)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13382, 13248, 13247])).
% 13.89/9.60 tff(13384,plain,
% 13.89/9.60 (succ(s170, s171) <=> succ(s170, s171)),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13385,axiom,(succ(s170, s171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound171')).
% 13.89/9.60 tff(13386,plain,
% 13.89/9.60 (succ(s170, s171)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13385, 13384])).
% 13.89/9.60 tff(13387,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13388,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13389,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 13.89/9.60 tff(13390,plain,
% 13.89/9.60 (trans(s170, s171)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13389, 13386, 52])).
% 13.89/9.60 tff(13391,plain,
% 13.89/9.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s170, s171)) | (~always3(s170)) | always3(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s170, s171)) | (~always3(s170)) | always3(s171))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13392,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s170, s171)) | (~always3(s170)) | always3(s171))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13393,plain,
% 13.89/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s170, s171)) | (~always3(s170)) | always3(s171)),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13392, 13391])).
% 13.89/9.60 tff(13394,plain,
% 13.89/9.60 ((~always3(s170)) | always3(s171)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13393, 125, 13390])).
% 13.89/9.60 tff(13395,plain,
% 13.89/9.60 (always3(s171)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13394, 13383])).
% 13.89/9.60 tff(13396,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s171)) | (~m_main_v_state(s171, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s171)) | (~m_main_v_state(s171, c_busy)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13397,plain,
% 13.89/9.60 (((~m_main_v_state(s171, c_busy)) | (~always3(s171))) <=> ((~always3(s171)) | (~m_main_v_state(s171, c_busy)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13398,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s171, c_busy)) | (~always3(s171)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s171)) | (~m_main_v_state(s171, c_busy))))),
% 13.89/9.60 inference(monotonicity,[status(thm)],[13397])).
% 13.89/9.60 tff(13399,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s171, c_busy)) | (~always3(s171)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s171)) | (~m_main_v_state(s171, c_busy)))),
% 13.89/9.60 inference(transitivity,[status(thm)],[13398, 13396])).
% 13.89/9.60 tff(13400,plain,
% 13.89/9.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s171, c_busy)) | (~always3(s171)))),
% 13.89/9.60 inference(quant_inst,[status(thm)],[])).
% 13.89/9.60 tff(13401,plain,
% 13.89/9.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s171)) | (~m_main_v_state(s171, c_busy))),
% 13.89/9.60 inference(modus_ponens,[status(thm)],[13400, 13399])).
% 13.89/9.60 tff(13402,plain,
% 13.89/9.60 (~m_main_v_state(s171, c_busy)),
% 13.89/9.60 inference(unit_resolution,[status(thm)],[13401, 85, 13395])).
% 13.89/9.60 tff(13403,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s170)) | (~m_main_v_state(s170, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s170)) | (~m_main_v_state(s170, c_busy)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13404,plain,
% 13.89/9.60 (((~m_main_v_state(s170, c_busy)) | (~always3(s170))) <=> ((~always3(s170)) | (~m_main_v_state(s170, c_busy)))),
% 13.89/9.60 inference(rewrite,[status(thm)],[])).
% 13.89/9.60 tff(13405,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s170, c_busy)) | (~always3(s170)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s170)) | (~m_main_v_state(s170, c_busy))))),
% 13.89/9.60 inference(monotonicity,[status(thm)],[13404])).
% 13.89/9.60 tff(13406,plain,
% 13.89/9.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s170, c_busy)) | (~always3(s170)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s170)) | (~m_main_v_state(s170, c_busy)))),
% 13.89/9.60 inference(transitivity,[status(thm)],[13405, 13403])).
% 13.89/9.60 tff(13407,plain,
% 13.89/9.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s170, c_busy)) | (~always3(s170)))),
% 13.90/9.60 inference(quant_inst,[status(thm)],[])).
% 13.90/9.60 tff(13408,plain,
% 13.90/9.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s170)) | (~m_main_v_state(s170, c_busy))),
% 13.90/9.60 inference(modus_ponens,[status(thm)],[13407, 13406])).
% 13.90/9.60 tff(13409,plain,
% 13.90/9.60 (~m_main_v_state(s170, c_busy)),
% 13.90/9.60 inference(unit_resolution,[status(thm)],[13408, 85, 13383])).
% 13.90/9.60 tff(13410,plain,
% 13.90/9.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready))),
% 13.90/9.60 inference(rewrite,[status(thm)],[])).
% 13.90/9.60 tff(13411,plain,
% 13.90/9.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready))),
% 13.90/9.60 inference(quant_inst,[status(thm)],[])).
% 13.90/9.60 tff(13412,plain,
% 13.90/9.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready)),
% 13.90/9.60 inference(modus_ponens,[status(thm)],[13411, 13410])).
% 13.90/9.60 tff(13413,plain,
% 13.90/9.60 (m_main_v_state(s170, c_ready)),
% 13.90/9.60 inference(unit_resolution,[status(thm)],[13412, 102, 13409])).
% 13.90/9.60 tff(13414,assumption,(~m_main_v_state(s170, c_busy)), introduced(assumption)).
% 13.90/9.60 tff(13415,assumption,(node4(s169)), introduced(assumption)).
% 13.90/9.60 tff(13416,plain,
% 13.90/9.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s169) | (~node4(s169)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s169) | (~node4(s169)))),
% 13.90/9.60 inference(rewrite,[status(thm)],[])).
% 13.90/9.60 tff(13417,plain,
% 13.90/9.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s169) | (~node4(s169)))),
% 13.90/9.60 inference(quant_inst,[status(thm)],[])).
% 13.90/9.60 tff(13418,plain,
% 13.90/9.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s169) | (~node4(s169))),
% 13.90/9.60 inference(modus_ponens,[status(thm)],[13417, 13416])).
% 13.90/9.60 tff(13419,plain,
% 13.90/9.60 (m_main_v_request(s169)),
% 13.90/9.60 inference(unit_resolution,[status(thm)],[13418, 21, 13415])).
% 13.90/9.60 tff(13420,plain,
% 13.90/9.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s169, s170)) | node2(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s169, s170)) | node2(s169, s170))),
% 13.90/9.60 inference(rewrite,[status(thm)],[])).
% 13.90/9.60 tff(13421,plain,
% 13.90/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s169, s170)) | node2(s169, s170))),
% 13.90/9.60 inference(quant_inst,[status(thm)],[])).
% 13.90/9.60 tff(13422,plain,
% 13.90/9.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s169, s170)) | node2(s169, s170)),
% 13.90/9.60 inference(modus_ponens,[status(thm)],[13421, 13420])).
% 13.90/9.60 tff(13423,plain,
% 13.90/9.60 (node2(s169, s170)),
% 13.90/9.60 inference(unit_resolution,[status(thm)],[13422, 7, 13256])).
% 13.90/9.60 tff(13424,plain,
% 13.90/9.60 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169)))),
% 13.90/9.60 inference(rewrite,[status(thm)],[])).
% 13.90/9.60 tff(13425,plain,
% 13.90/9.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169)))),
% 13.90/9.60 inference(quant_inst,[status(thm)],[])).
% 13.90/9.60 tff(13426,plain,
% 13.90/9.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169))),
% 13.90/9.60 inference(modus_ponens,[status(thm)],[13425, 13424])).
% 13.90/9.61 tff(13427,plain,
% 13.90/9.61 ((~m_main_v_state(s169, c_ready)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13426, 73, 13423])).
% 13.90/9.61 tff(13428,plain,
% 13.90/9.61 (~m_main_v_state(s169, c_ready)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13427, 13419, 13414])).
% 13.90/9.61 tff(13429,plain,
% 13.90/9.61 (always3(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13264, 36, 13415])).
% 13.90/9.61 tff(13430,plain,
% 13.90/9.61 (~m_main_v_state(s169, c_busy)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13339, 85, 13429])).
% 13.90/9.61 tff(13431,plain,
% 13.90/9.61 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13432,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13433,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13432, 13431])).
% 13.90/9.61 tff(13434,plain,
% 13.90/9.61 ($false),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13433, 102, 13430, 13428])).
% 13.90/9.61 tff(13435,plain,((~node4(s169)) | m_main_v_state(s170, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.61 tff(13436,plain,
% 13.90/9.61 (~node4(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13435, 13409])).
% 13.90/9.61 tff(13437,assumption,(node4(s167)), introduced(assumption)).
% 13.90/9.61 tff(13438,plain,
% 13.90/9.61 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s167) | (~node4(s167)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s167) | (~node4(s167)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13439,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s167) | (~node4(s167)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13440,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s167) | (~node4(s167))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13439, 13438])).
% 13.90/9.61 tff(13441,plain,
% 13.90/9.61 (m_main_v_request(s167)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13440, 21, 13437])).
% 13.90/9.61 tff(13442,plain,
% 13.90/9.61 (always3(s167)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13309, 36, 13437])).
% 13.90/9.61 tff(13443,plain,
% 13.90/9.61 (always3(s168)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13305, 13442])).
% 13.90/9.61 tff(13444,plain,
% 13.90/9.61 (~m_main_v_state(s168, c_busy)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13355, 85, 13443])).
% 13.90/9.61 tff(13445,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s167, s168)) | node2(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s167, s168)) | node2(s167, s168))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13446,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s167, s168)) | node2(s167, s168))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13447,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s167, s168)) | node2(s167, s168)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13446, 13445])).
% 13.90/9.61 tff(13448,plain,
% 13.90/9.61 (node2(s167, s168)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13447, 7, 13301])).
% 13.90/9.61 tff(13449,plain,
% 13.90/9.61 (((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13450,plain,
% 13.90/9.61 ((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13451,plain,
% 13.90/9.61 ((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13450, 13449])).
% 13.90/9.61 tff(13452,plain,
% 13.90/9.61 ((~m_main_v_state(s167, c_ready)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13451, 73, 13448])).
% 13.90/9.61 tff(13453,plain,
% 13.90/9.61 (~m_main_v_state(s167, c_ready)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13452, 13444, 13441])).
% 13.90/9.61 tff(13454,plain,
% 13.90/9.61 (~m_main_v_state(s167, c_busy)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13162, 85, 13442])).
% 13.90/9.61 tff(13455,plain,
% 13.90/9.61 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13456,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13457,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13456, 13455])).
% 13.90/9.61 tff(13458,plain,
% 13.90/9.61 ($false),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13457, 102, 13454, 13453])).
% 13.90/9.61 tff(13459,plain,(~node4(s167)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.61 tff(13460,plain,
% 13.90/9.61 (xuntil6(s167) | (~until5(s167))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13316, 294, 13459])).
% 13.90/9.61 tff(13461,plain,
% 13.90/9.61 (xuntil6(s167)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13460, 13247])).
% 13.90/9.61 tff(13462,plain,
% 13.90/9.61 (until5(s168)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13322, 13461])).
% 13.90/9.61 tff(13463,plain,
% 13.90/9.61 (xuntil6(s168)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13368, 13462])).
% 13.90/9.61 tff(13464,plain,
% 13.90/9.61 (until5(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13373, 13463])).
% 13.90/9.61 tff(13465,plain,
% 13.90/9.61 (xuntil6(s169) | node4(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13380, 294, 13464])).
% 13.90/9.61 tff(13466,plain,
% 13.90/9.61 (xuntil6(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13465, 13436])).
% 13.90/9.61 tff(13467,plain,
% 13.90/9.61 (until5(s170)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13281, 13466])).
% 13.90/9.61 tff(13468,plain,
% 13.90/9.61 (node4(s170)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13276, 13467])).
% 13.90/9.61 tff(13469,plain,
% 13.90/9.61 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s170) | (~node4(s170)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s170) | (~node4(s170)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13470,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s170) | (~node4(s170)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13471,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s170) | (~node4(s170))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13470, 13469])).
% 13.90/9.61 tff(13472,plain,
% 13.90/9.61 (m_main_v_request(s170)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13471, 21, 13468])).
% 13.90/9.61 tff(13473,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s170, s171)) | node2(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s170, s171)) | node2(s170, s171))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13474,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s170, s171)) | node2(s170, s171))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13475,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s170, s171)) | node2(s170, s171)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13474, 13473])).
% 13.90/9.61 tff(13476,plain,
% 13.90/9.61 (node2(s170, s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13475, 7, 13390])).
% 13.90/9.61 tff(13477,plain,
% 13.90/9.61 (((~![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(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13478,plain,
% 13.90/9.61 ((~![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(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13479,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13478, 13477])).
% 13.90/9.61 tff(13480,plain,
% 13.90/9.61 ((~m_main_v_state(s170, c_ready)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13479, 73, 13476])).
% 13.90/9.61 tff(13481,plain,
% 13.90/9.61 ($false),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13480, 13472, 13413, 13402])).
% 13.90/9.61 tff(13482,plain,(xuntil6(s170) | (~until5(s167))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.61 tff(13483,plain,
% 13.90/9.61 (xuntil6(s170)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13482, 13246])).
% 13.90/9.61 tff(13484,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13485,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13486,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13485, 13484])).
% 13.90/9.61 tff(13487,plain,
% 13.90/9.61 ((~xuntil6(s170)) | until5(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13486, 13386, 312])).
% 13.90/9.61 tff(13488,plain,
% 13.90/9.61 (until5(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13487, 13483])).
% 13.90/9.61 tff(13489,assumption,(node4(s171)), introduced(assumption)).
% 13.90/9.61 tff(13490,plain,
% 13.90/9.61 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s171) | (~node4(s171)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s171) | (~node4(s171)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13491,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s171) | (~node4(s171)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13492,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s171) | (~node4(s171))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13491, 13490])).
% 13.90/9.61 tff(13493,plain,
% 13.90/9.61 (m_main_v_request(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13492, 21, 13489])).
% 13.90/9.61 tff(13494,plain,
% 13.90/9.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s171) | (~node4(s171)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s171) | (~node4(s171)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13495,plain,
% 13.90/9.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s171) | (~node4(s171)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13496,plain,
% 13.90/9.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s171) | (~node4(s171))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13495, 13494])).
% 13.90/9.61 tff(13497,plain,
% 13.90/9.61 (always3(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13496, 36, 13489])).
% 13.90/9.61 tff(13498,plain,
% 13.90/9.61 (succ(s171, s172) <=> succ(s171, s172)),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13499,axiom,(succ(s171, s172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound172')).
% 13.90/9.61 tff(13500,plain,
% 13.90/9.61 (succ(s171, s172)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 13.90/9.61 tff(13501,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13502,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13503,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13502, 13501])).
% 13.90/9.61 tff(13504,plain,
% 13.90/9.61 (trans(s171, s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13503, 13500, 52])).
% 13.90/9.61 tff(13505,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s171, s172)) | (~always3(s171)) | always3(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s171, s172)) | (~always3(s171)) | always3(s172))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13506,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s171, s172)) | (~always3(s171)) | always3(s172))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13507,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s171, s172)) | (~always3(s171)) | always3(s172)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13506, 13505])).
% 13.90/9.61 tff(13508,plain,
% 13.90/9.61 ((~always3(s171)) | always3(s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13507, 125, 13504])).
% 13.90/9.61 tff(13509,plain,
% 13.90/9.61 (always3(s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13508, 13497])).
% 13.90/9.61 tff(13510,plain,
% 13.90/9.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s172)) | (~m_main_v_state(s172, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s172)) | (~m_main_v_state(s172, c_busy)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13511,plain,
% 13.90/9.61 (((~m_main_v_state(s172, c_busy)) | (~always3(s172))) <=> ((~always3(s172)) | (~m_main_v_state(s172, c_busy)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13512,plain,
% 13.90/9.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s172, c_busy)) | (~always3(s172)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s172)) | (~m_main_v_state(s172, c_busy))))),
% 13.90/9.61 inference(monotonicity,[status(thm)],[13511])).
% 13.90/9.61 tff(13513,plain,
% 13.90/9.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s172, c_busy)) | (~always3(s172)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s172)) | (~m_main_v_state(s172, c_busy)))),
% 13.90/9.61 inference(transitivity,[status(thm)],[13512, 13510])).
% 13.90/9.61 tff(13514,plain,
% 13.90/9.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s172, c_busy)) | (~always3(s172)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13515,plain,
% 13.90/9.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s172)) | (~m_main_v_state(s172, c_busy))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 13.90/9.61 tff(13516,plain,
% 13.90/9.61 (~m_main_v_state(s172, c_busy)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13515, 85, 13509])).
% 13.90/9.61 tff(13517,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s171, s172)) | node2(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s171, s172)) | node2(s171, s172))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13518,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s171, s172)) | node2(s171, s172))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13519,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s171, s172)) | node2(s171, s172)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 13.90/9.61 tff(13520,plain,
% 13.90/9.61 (node2(s171, s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13519, 7, 13504])).
% 13.90/9.61 tff(13521,plain,
% 13.90/9.61 (((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13522,plain,
% 13.90/9.61 ((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13523,plain,
% 13.90/9.61 ((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13522, 13521])).
% 13.90/9.61 tff(13524,plain,
% 13.90/9.61 ((~m_main_v_state(s171, c_ready)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13523, 73, 13520])).
% 13.90/9.61 tff(13525,plain,
% 13.90/9.61 (~m_main_v_state(s171, c_ready)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13524, 13516, 13493])).
% 13.90/9.61 tff(13526,plain,
% 13.90/9.61 (~m_main_v_state(s171, c_busy)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13401, 85, 13497])).
% 13.90/9.61 tff(13527,plain,
% 13.90/9.61 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13528,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13529,plain,
% 13.90/9.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13528, 13527])).
% 13.90/9.61 tff(13530,plain,
% 13.90/9.61 ($false),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13529, 102, 13526, 13525])).
% 13.90/9.61 tff(13531,plain,(~node4(s171)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.61 tff(13532,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s171) | node4(s171) | (~until5(s171)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s171) | node4(s171) | (~until5(s171)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13533,plain,
% 13.90/9.61 ((node4(s171) | (~until5(s171)) | xuntil6(s171)) <=> (xuntil6(s171) | node4(s171) | (~until5(s171)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13534,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s171) | (~until5(s171)) | xuntil6(s171))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s171) | node4(s171) | (~until5(s171))))),
% 13.90/9.61 inference(monotonicity,[status(thm)],[13533])).
% 13.90/9.61 tff(13535,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s171) | (~until5(s171)) | xuntil6(s171))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s171) | node4(s171) | (~until5(s171)))),
% 13.90/9.61 inference(transitivity,[status(thm)],[13534, 13532])).
% 13.90/9.61 tff(13536,plain,
% 13.90/9.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s171) | (~until5(s171)) | xuntil6(s171))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13537,plain,
% 13.90/9.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s171) | node4(s171) | (~until5(s171))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13536, 13535])).
% 13.90/9.61 tff(13538,plain,
% 13.90/9.61 (xuntil6(s171) | (~until5(s171))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13537, 294, 13531])).
% 13.90/9.61 tff(13539,plain,
% 13.90/9.61 (xuntil6(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13538, 13488])).
% 13.90/9.61 tff(13540,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13541,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13542,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 13.90/9.61 tff(13543,plain,
% 13.90/9.61 ((~xuntil6(s171)) | until5(s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13542, 13500, 312])).
% 13.90/9.61 tff(13544,plain,
% 13.90/9.61 (until5(s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13543, 13539])).
% 13.90/9.61 tff(13545,assumption,(until5(s162)), introduced(assumption)).
% 13.90/9.61 tff(13546,assumption,(~xuntil6(s173)), introduced(assumption)).
% 13.90/9.61 tff(13547,assumption,(~always3(s173)), introduced(assumption)).
% 13.90/9.61 tff(13548,plain,
% 13.90/9.61 (succ(s172, s173) <=> succ(s172, s173)),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13549,axiom,(succ(s172, s173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound173')).
% 13.90/9.61 tff(13550,plain,
% 13.90/9.61 (succ(s172, s173)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13549, 13548])).
% 13.90/9.61 tff(13551,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13552,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13553,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 13.90/9.61 tff(13554,plain,
% 13.90/9.61 (trans(s172, s173)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13553, 13550, 52])).
% 13.90/9.61 tff(13555,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s172, s173)) | (~always3(s172)) | always3(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s172, s173)) | (~always3(s172)) | always3(s173))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13556,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s172, s173)) | (~always3(s172)) | always3(s173))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13557,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s172, s173)) | (~always3(s172)) | always3(s173)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 13.90/9.61 tff(13558,plain,
% 13.90/9.61 ((~always3(s172)) | always3(s173)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13557, 125, 13554])).
% 13.90/9.61 tff(13559,plain,
% 13.90/9.61 (~always3(s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13558, 13547])).
% 13.90/9.61 tff(13560,plain,
% 13.90/9.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s172) | (~node4(s172)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s172) | (~node4(s172)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13561,plain,
% 13.90/9.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s172) | (~node4(s172)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13562,plain,
% 13.90/9.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s172) | (~node4(s172))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13561, 13560])).
% 13.90/9.61 tff(13563,plain,
% 13.90/9.61 (~node4(s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13562, 36, 13559])).
% 13.90/9.61 tff(13564,plain,
% 13.90/9.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s173) | (~node4(s173)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s173) | (~node4(s173)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13565,plain,
% 13.90/9.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s173) | (~node4(s173)))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13566,plain,
% 13.90/9.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s173) | (~node4(s173))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13565, 13564])).
% 13.90/9.61 tff(13567,plain,
% 13.90/9.61 (~node4(s173)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13566, 36, 13547])).
% 13.90/9.61 tff(13568,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s173) | node4(s173) | (~until5(s173)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s173) | node4(s173) | (~until5(s173)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13569,plain,
% 13.90/9.61 ((node4(s173) | (~until5(s173)) | xuntil6(s173)) <=> (xuntil6(s173) | node4(s173) | (~until5(s173)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13570,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s173) | (~until5(s173)) | xuntil6(s173))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s173) | node4(s173) | (~until5(s173))))),
% 13.90/9.61 inference(monotonicity,[status(thm)],[13569])).
% 13.90/9.61 tff(13571,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s173) | (~until5(s173)) | xuntil6(s173))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s173) | node4(s173) | (~until5(s173)))),
% 13.90/9.61 inference(transitivity,[status(thm)],[13570, 13568])).
% 13.90/9.61 tff(13572,plain,
% 13.90/9.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s173) | (~until5(s173)) | xuntil6(s173))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13573,plain,
% 13.90/9.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s173) | node4(s173) | (~until5(s173))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13572, 13571])).
% 13.90/9.61 tff(13574,plain,
% 13.90/9.61 (node4(s173) | (~until5(s173))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13573, 294, 13546])).
% 13.90/9.61 tff(13575,plain,
% 13.90/9.61 (~until5(s173)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13574, 13567])).
% 13.90/9.61 tff(13576,plain,
% 13.90/9.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13577,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13578,plain,
% 13.90/9.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173)),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13577, 13576])).
% 13.90/9.61 tff(13579,plain,
% 13.90/9.61 ((~xuntil6(s172)) | until5(s173)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13578, 13550, 312])).
% 13.90/9.61 tff(13580,plain,
% 13.90/9.61 (~xuntil6(s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13579, 13575])).
% 13.90/9.61 tff(13581,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s172) | node4(s172) | (~until5(s172)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s172) | node4(s172) | (~until5(s172)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13582,plain,
% 13.90/9.61 ((node4(s172) | (~until5(s172)) | xuntil6(s172)) <=> (xuntil6(s172) | node4(s172) | (~until5(s172)))),
% 13.90/9.61 inference(rewrite,[status(thm)],[])).
% 13.90/9.61 tff(13583,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s172) | (~until5(s172)) | xuntil6(s172))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s172) | node4(s172) | (~until5(s172))))),
% 13.90/9.61 inference(monotonicity,[status(thm)],[13582])).
% 13.90/9.61 tff(13584,plain,
% 13.90/9.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s172) | (~until5(s172)) | xuntil6(s172))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s172) | node4(s172) | (~until5(s172)))),
% 13.90/9.61 inference(transitivity,[status(thm)],[13583, 13581])).
% 13.90/9.61 tff(13585,plain,
% 13.90/9.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s172) | (~until5(s172)) | xuntil6(s172))),
% 13.90/9.61 inference(quant_inst,[status(thm)],[])).
% 13.90/9.61 tff(13586,plain,
% 13.90/9.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s172) | node4(s172) | (~until5(s172))),
% 13.90/9.61 inference(modus_ponens,[status(thm)],[13585, 13584])).
% 13.90/9.61 tff(13587,plain,
% 13.90/9.61 (~until5(s172)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13586, 294, 13580, 13563])).
% 13.90/9.61 tff(13588,plain,
% 13.90/9.61 (~xuntil6(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13543, 13587])).
% 13.90/9.61 tff(13589,plain,
% 13.90/9.61 (~always3(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13508, 13559])).
% 13.90/9.61 tff(13590,plain,
% 13.90/9.61 (~node4(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13496, 36, 13589])).
% 13.90/9.61 tff(13591,plain,
% 13.90/9.61 (xuntil6(s171) | (~until5(s171))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13537, 294, 13590])).
% 13.90/9.61 tff(13592,plain,
% 13.90/9.61 (~until5(s171)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13591, 13588])).
% 13.90/9.61 tff(13593,plain,
% 13.90/9.61 (~xuntil6(s170)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13487, 13592])).
% 13.90/9.61 tff(13594,plain,
% 13.90/9.61 (~always3(s170)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13394, 13589])).
% 13.90/9.61 tff(13595,plain,
% 13.90/9.61 (~node4(s170)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13268, 36, 13594])).
% 13.90/9.61 tff(13596,plain,
% 13.90/9.61 (xuntil6(s170) | (~until5(s170))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13275, 294, 13595])).
% 13.90/9.61 tff(13597,plain,
% 13.90/9.61 (~until5(s170)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13596, 13593])).
% 13.90/9.61 tff(13598,plain,
% 13.90/9.61 (~xuntil6(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13281, 13597])).
% 13.90/9.61 tff(13599,plain,
% 13.90/9.61 (~always3(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13260, 13594])).
% 13.90/9.61 tff(13600,plain,
% 13.90/9.61 (~node4(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13264, 36, 13599])).
% 13.90/9.61 tff(13601,plain,
% 13.90/9.61 (xuntil6(s169) | (~until5(s169))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13380, 294, 13600])).
% 13.90/9.61 tff(13602,plain,
% 13.90/9.61 (~until5(s169)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13601, 13598])).
% 13.90/9.61 tff(13603,plain,
% 13.90/9.61 (~xuntil6(s168)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13373, 13602])).
% 13.90/9.61 tff(13604,plain,
% 13.90/9.61 (~always3(s168)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13293, 13599])).
% 13.90/9.61 tff(13605,plain,
% 13.90/9.61 (~node4(s168)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13331, 36, 13604])).
% 13.90/9.61 tff(13606,plain,
% 13.90/9.61 (xuntil6(s168) | (~until5(s168))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13367, 294, 13605])).
% 13.90/9.61 tff(13607,plain,
% 13.90/9.61 (~until5(s168)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13606, 13603])).
% 13.90/9.61 tff(13608,plain,
% 13.90/9.61 (~always3(s167)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13305, 13604])).
% 13.90/9.61 tff(13609,plain,
% 13.90/9.61 (~always3(s166)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13155, 13608])).
% 13.90/9.61 tff(13610,plain,
% 13.90/9.61 (~always3(s165)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13077, 13609])).
% 13.90/9.61 tff(13611,plain,
% 13.90/9.61 (~always3(s164)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13110, 13610])).
% 13.90/9.61 tff(13612,plain,
% 13.90/9.61 (~always3(s163)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13027, 13611])).
% 13.90/9.61 tff(13613,plain,
% 13.90/9.61 (~node4(s163)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[12945, 36, 13612])).
% 13.90/9.61 tff(13614,plain,
% 13.90/9.61 (~always3(s162)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[12904, 13612])).
% 13.90/9.61 tff(13615,plain,
% 13.90/9.61 (~node4(s162)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[12892, 36, 13614])).
% 13.90/9.61 tff(13616,plain,
% 13.90/9.61 (xuntil6(s162) | node4(s162)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[12933, 294, 13545])).
% 13.90/9.61 tff(13617,plain,
% 13.90/9.61 (xuntil6(s162)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13616, 13615])).
% 13.90/9.61 tff(13618,plain,
% 13.90/9.61 (until5(s163)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[12939, 13617])).
% 13.90/9.61 tff(13619,plain,
% 13.90/9.61 (xuntil6(s163)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[12952, 294, 13618, 13613])).
% 13.90/9.61 tff(13620,plain,
% 13.90/9.61 (until5(s164)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13062, 13619])).
% 13.90/9.61 tff(13621,plain,
% 13.90/9.61 (~node4(s164)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13114, 36, 13611])).
% 13.90/9.61 tff(13622,plain,
% 13.90/9.61 (xuntil6(s164) | (~until5(s164))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13121, 294, 13621])).
% 13.90/9.61 tff(13623,plain,
% 13.90/9.61 (xuntil6(s164)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13622, 13620])).
% 13.90/9.61 tff(13624,plain,
% 13.90/9.61 (until5(s165)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13127, 13623])).
% 13.90/9.61 tff(13625,plain,
% 13.90/9.61 (~node4(s165)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13081, 36, 13610])).
% 13.90/9.61 tff(13626,plain,
% 13.90/9.61 (xuntil6(s165) | (~until5(s165))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13134, 294, 13625])).
% 13.90/9.61 tff(13627,plain,
% 13.90/9.61 (xuntil6(s165)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13626, 13624])).
% 13.90/9.61 tff(13628,plain,
% 13.90/9.61 (until5(s166)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13098, 13627])).
% 13.90/9.61 tff(13629,plain,
% 13.90/9.61 (~node4(s166)),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13085, 36, 13609])).
% 13.90/9.61 tff(13630,plain,
% 13.90/9.61 (xuntil6(s166) | (~until5(s166))),
% 13.90/9.61 inference(unit_resolution,[status(thm)],[13092, 294, 13629])).
% 13.90/9.61 tff(13631,plain,
% 13.90/9.62 (xuntil6(s166)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13630, 13628])).
% 13.90/9.62 tff(13632,plain,
% 13.90/9.62 (until5(s167)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13245, 13631])).
% 13.90/9.62 tff(13633,plain,
% 13.90/9.62 (~node4(s167)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13309, 36, 13608])).
% 13.90/9.62 tff(13634,plain,
% 13.90/9.62 (xuntil6(s167) | (~until5(s167))),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13316, 294, 13633])).
% 13.90/9.62 tff(13635,plain,
% 13.90/9.62 (xuntil6(s167)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13634, 13632])).
% 13.90/9.62 tff(13636,plain,
% 13.90/9.62 ($false),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13322, 13635, 13607])).
% 13.90/9.62 tff(13637,plain,(always3(s173) | (~until5(s162)) | xuntil6(s173)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.62 tff(13638,plain,
% 13.90/9.62 (always3(s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13637, 13546, 13545])).
% 13.90/9.62 tff(13639,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s173)) | (~m_main_v_state(s173, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s173)) | (~m_main_v_state(s173, c_busy)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13640,plain,
% 13.90/9.62 (((~m_main_v_state(s173, c_busy)) | (~always3(s173))) <=> ((~always3(s173)) | (~m_main_v_state(s173, c_busy)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13641,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s173, c_busy)) | (~always3(s173)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s173)) | (~m_main_v_state(s173, c_busy))))),
% 13.90/9.62 inference(monotonicity,[status(thm)],[13640])).
% 13.90/9.62 tff(13642,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s173, c_busy)) | (~always3(s173)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s173)) | (~m_main_v_state(s173, c_busy)))),
% 13.90/9.62 inference(transitivity,[status(thm)],[13641, 13639])).
% 13.90/9.62 tff(13643,plain,
% 13.90/9.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s173, c_busy)) | (~always3(s173)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13644,plain,
% 13.90/9.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s173)) | (~m_main_v_state(s173, c_busy))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13643, 13642])).
% 13.90/9.62 tff(13645,plain,
% 13.90/9.62 (~m_main_v_state(s173, c_busy)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13644, 85, 13638])).
% 13.90/9.62 tff(13646,plain,
% 13.90/9.62 (succ(s173, s174) <=> succ(s173, s174)),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13647,axiom,(succ(s173, s174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound174')).
% 13.90/9.62 tff(13648,plain,
% 13.90/9.62 (succ(s173, s174)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13647, 13646])).
% 13.90/9.62 tff(13649,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13650,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13651,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13650, 13649])).
% 13.90/9.62 tff(13652,plain,
% 13.90/9.62 (trans(s173, s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13651, 13648, 52])).
% 13.90/9.62 tff(13653,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s173, s174)) | (~always3(s173)) | always3(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s173, s174)) | (~always3(s173)) | always3(s174))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13654,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s173, s174)) | (~always3(s173)) | always3(s174))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13655,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s173, s174)) | (~always3(s173)) | always3(s174)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13654, 13653])).
% 13.90/9.62 tff(13656,plain,
% 13.90/9.62 ((~always3(s173)) | always3(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13655, 125, 13652])).
% 13.90/9.62 tff(13657,plain,
% 13.90/9.62 (always3(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13656, 13638])).
% 13.90/9.62 tff(13658,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s174)) | (~m_main_v_state(s174, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s174)) | (~m_main_v_state(s174, c_busy)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13659,plain,
% 13.90/9.62 (((~m_main_v_state(s174, c_busy)) | (~always3(s174))) <=> ((~always3(s174)) | (~m_main_v_state(s174, c_busy)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13660,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s174, c_busy)) | (~always3(s174)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s174)) | (~m_main_v_state(s174, c_busy))))),
% 13.90/9.62 inference(monotonicity,[status(thm)],[13659])).
% 13.90/9.62 tff(13661,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s174, c_busy)) | (~always3(s174)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s174)) | (~m_main_v_state(s174, c_busy)))),
% 13.90/9.62 inference(transitivity,[status(thm)],[13660, 13658])).
% 13.90/9.62 tff(13662,plain,
% 13.90/9.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s174, c_busy)) | (~always3(s174)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13663,plain,
% 13.90/9.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s174)) | (~m_main_v_state(s174, c_busy))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 13.90/9.62 tff(13664,plain,
% 13.90/9.62 (~m_main_v_state(s174, c_busy)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13663, 85, 13657])).
% 13.90/9.62 tff(13665,assumption,(until5(s173)), introduced(assumption)).
% 13.90/9.62 tff(13666,plain,
% 13.90/9.62 (xuntil6(s173) | node4(s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13573, 294, 13665])).
% 13.90/9.62 tff(13667,plain,
% 13.90/9.62 (node4(s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13666, 13546])).
% 13.90/9.62 tff(13668,plain,
% 13.90/9.62 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s173) | (~node4(s173)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s173) | (~node4(s173)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13669,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s173) | (~node4(s173)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13670,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s173) | (~node4(s173))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13669, 13668])).
% 13.90/9.62 tff(13671,plain,
% 13.90/9.62 (m_main_v_request(s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13670, 21, 13667])).
% 13.90/9.62 tff(13672,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s173, s174)) | node2(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s173, s174)) | node2(s173, s174))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13673,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s173, s174)) | node2(s173, s174))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13674,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s173, s174)) | node2(s173, s174)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13673, 13672])).
% 13.90/9.62 tff(13675,plain,
% 13.90/9.62 (node2(s173, s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13674, 7, 13652])).
% 13.90/9.62 tff(13676,plain,
% 13.90/9.62 (((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13677,plain,
% 13.90/9.62 ((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13678,plain,
% 13.90/9.62 ((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13677, 13676])).
% 13.90/9.62 tff(13679,plain,
% 13.90/9.62 ((~m_main_v_state(s173, c_ready)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173))),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13678, 73, 13675])).
% 13.90/9.62 tff(13680,plain,
% 13.90/9.62 (~m_main_v_state(s173, c_ready)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13679, 13671, 13664])).
% 13.90/9.62 tff(13681,plain,
% 13.90/9.62 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13682,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13683,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13682, 13681])).
% 13.90/9.62 tff(13684,plain,
% 13.90/9.62 ($false),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13683, 102, 13645, 13680])).
% 13.90/9.62 tff(13685,plain,(xuntil6(s173) | (~until5(s173)) | (~until5(s162))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.62 tff(13686,plain,
% 13.90/9.62 (~until5(s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13685, 13546, 13545])).
% 13.90/9.62 tff(13687,plain,
% 13.90/9.62 (~xuntil6(s172)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13579, 13686])).
% 13.90/9.62 tff(13688,assumption,(until5(s172)), introduced(assumption)).
% 13.90/9.62 tff(13689,plain,
% 13.90/9.62 (xuntil6(s172) | node4(s172)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13586, 294, 13688])).
% 13.90/9.62 tff(13690,plain,
% 13.90/9.62 (node4(s172)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13689, 13687])).
% 13.90/9.62 tff(13691,plain,
% 13.90/9.62 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s172) | (~node4(s172)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s172) | (~node4(s172)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13692,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s172) | (~node4(s172)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13693,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s172) | (~node4(s172))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13692, 13691])).
% 13.90/9.62 tff(13694,plain,
% 13.90/9.62 (m_main_v_request(s172)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13693, 21, 13690])).
% 13.90/9.62 tff(13695,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s172, s173)) | node2(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s172, s173)) | node2(s172, s173))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13696,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s172, s173)) | node2(s172, s173))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13697,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s172, s173)) | node2(s172, s173)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13696, 13695])).
% 13.90/9.62 tff(13698,plain,
% 13.90/9.62 (node2(s172, s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13697, 7, 13554])).
% 13.90/9.62 tff(13699,plain,
% 13.90/9.62 (((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13700,plain,
% 13.90/9.62 ((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13701,plain,
% 13.90/9.62 ((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13700, 13699])).
% 13.90/9.62 tff(13702,plain,
% 13.90/9.62 ((~m_main_v_state(s172, c_ready)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172))),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13701, 73, 13698])).
% 13.90/9.62 tff(13703,plain,
% 13.90/9.62 (~m_main_v_state(s172, c_ready)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13702, 13694, 13645])).
% 13.90/9.62 tff(13704,assumption,(~always3(s172)), introduced(assumption)).
% 13.90/9.62 tff(13705,plain,
% 13.90/9.62 (~always3(s171)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13508, 13704])).
% 13.90/9.62 tff(13706,plain,
% 13.90/9.62 (~always3(s170)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13394, 13705])).
% 13.90/9.62 tff(13707,plain,
% 13.90/9.62 (~always3(s169)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13260, 13706])).
% 13.90/9.62 tff(13708,plain,
% 13.90/9.62 (~node4(s169)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13264, 36, 13707])).
% 13.90/9.62 tff(13709,plain,
% 13.90/9.62 (~always3(s168)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13293, 13707])).
% 13.90/9.62 tff(13710,plain,
% 13.90/9.62 (~always3(s167)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13305, 13709])).
% 13.90/9.62 tff(13711,plain,
% 13.90/9.62 (~node4(s167)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13309, 36, 13710])).
% 13.90/9.62 tff(13712,plain,
% 13.90/9.62 (xuntil6(s167)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13317, 13711])).
% 13.90/9.62 tff(13713,plain,
% 13.90/9.62 (until5(s168)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13322, 13712])).
% 13.90/9.62 tff(13714,plain,
% 13.90/9.62 (xuntil6(s168)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13368, 13713])).
% 13.90/9.62 tff(13715,plain,
% 13.90/9.62 (until5(s169)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13373, 13714])).
% 13.90/9.62 tff(13716,plain,
% 13.90/9.62 (xuntil6(s169)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13380, 294, 13715, 13708])).
% 13.90/9.62 tff(13717,plain,
% 13.90/9.62 (until5(s170)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13281, 13716])).
% 13.90/9.62 tff(13718,plain,
% 13.90/9.62 (~node4(s170)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13268, 36, 13706])).
% 13.90/9.62 tff(13719,plain,
% 13.90/9.62 (xuntil6(s170) | (~until5(s170))),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13275, 294, 13718])).
% 13.90/9.62 tff(13720,plain,
% 13.90/9.62 (xuntil6(s170)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13719, 13717])).
% 13.90/9.62 tff(13721,plain,
% 13.90/9.62 (until5(s171)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13487, 13720])).
% 13.90/9.62 tff(13722,plain,
% 13.90/9.62 (xuntil6(s171)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13538, 13721])).
% 13.90/9.62 tff(13723,plain,
% 13.90/9.62 (until5(s172)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13543, 13722])).
% 13.90/9.62 tff(13724,assumption,(~xuntil6(s172)), introduced(assumption)).
% 13.90/9.62 tff(13725,plain,
% 13.90/9.62 (node4(s172) | (~until5(s172))),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13586, 294, 13724])).
% 13.90/9.62 tff(13726,plain,
% 13.90/9.62 (node4(s172)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13725, 13723])).
% 13.90/9.62 tff(13727,plain,
% 13.90/9.62 ($false),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13562, 36, 13704, 13726])).
% 13.90/9.62 tff(13728,plain,(always3(s172) | xuntil6(s172) | (~until5(s167))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.62 tff(13729,plain,
% 13.90/9.62 (always3(s172)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13728, 13687, 13247])).
% 13.90/9.62 tff(13730,plain,
% 13.90/9.62 (~m_main_v_state(s172, c_busy)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13515, 85, 13729])).
% 13.90/9.62 tff(13731,plain,
% 13.90/9.62 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13732,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13733,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 13.90/9.62 tff(13734,plain,
% 13.90/9.62 ($false),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13733, 102, 13730, 13703])).
% 13.90/9.62 tff(13735,plain,(xuntil6(s173) | (~until5(s172)) | (~until5(s167)) | (~until5(s162))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.62 tff(13736,plain,
% 13.90/9.62 (xuntil6(s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13735, 13544, 12884, 13246])).
% 13.90/9.62 tff(13737,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13738,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13739,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 13.90/9.62 tff(13740,plain,
% 13.90/9.62 ((~xuntil6(s173)) | until5(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13739, 13648, 312])).
% 13.90/9.62 tff(13741,plain,
% 13.90/9.62 (until5(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13740, 13736])).
% 13.90/9.62 tff(13742,assumption,(~xuntil6(s174)), introduced(assumption)).
% 13.90/9.62 tff(13743,assumption,(~always3(s174)), introduced(assumption)).
% 13.90/9.62 tff(13744,plain,
% 13.90/9.62 (~always3(s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13656, 13743])).
% 13.90/9.62 tff(13745,plain,
% 13.90/9.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13746,plain,
% 13.90/9.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13747,plain,
% 13.90/9.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13746, 13745])).
% 13.90/9.62 tff(13748,plain,
% 13.90/9.62 (~node4(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13747, 36, 13743])).
% 13.90/9.62 tff(13749,plain,
% 13.90/9.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s174) | node4(s174) | (~until5(s174)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13750,plain,
% 13.90/9.62 ((node4(s174) | (~until5(s174)) | xuntil6(s174)) <=> (xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13751,plain,
% 13.90/9.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s174) | node4(s174) | (~until5(s174))))),
% 13.90/9.62 inference(monotonicity,[status(thm)],[13750])).
% 13.90/9.62 tff(13752,plain,
% 13.90/9.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 13.90/9.62 inference(transitivity,[status(thm)],[13751, 13749])).
% 13.90/9.62 tff(13753,plain,
% 13.90/9.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13754,plain,
% 13.90/9.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 13.90/9.62 tff(13755,plain,
% 13.90/9.62 (node4(s174) | (~until5(s174))),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13754, 294, 13742])).
% 13.90/9.62 tff(13756,plain,
% 13.90/9.62 (~until5(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13755, 13748])).
% 13.90/9.62 tff(13757,plain,
% 13.90/9.62 (~xuntil6(s173)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13740, 13756])).
% 13.90/9.62 tff(13758,plain,
% 13.90/9.62 (~until5(s162)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13637, 13757, 13744])).
% 13.90/9.62 tff(13759,plain,
% 13.90/9.62 (~always3(s172)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13558, 13744])).
% 13.90/9.62 tff(13760,plain,
% 13.90/9.62 (~always3(s171)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13508, 13759])).
% 13.90/9.62 tff(13761,plain,
% 13.90/9.62 (~always3(s170)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13394, 13760])).
% 13.90/9.62 tff(13762,plain,
% 13.90/9.62 (~always3(s169)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13260, 13761])).
% 13.90/9.62 tff(13763,plain,
% 13.90/9.62 (~always3(s168)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13293, 13762])).
% 13.90/9.62 tff(13764,plain,
% 13.90/9.62 (~always3(s167)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13305, 13763])).
% 13.90/9.62 tff(13765,plain,
% 13.90/9.62 (~always3(s166)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13155, 13764])).
% 13.90/9.62 tff(13766,plain,
% 13.90/9.62 (~always3(s165)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13077, 13765])).
% 13.90/9.62 tff(13767,plain,
% 13.90/9.62 (~always3(s164)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13110, 13766])).
% 13.90/9.62 tff(13768,plain,
% 13.90/9.62 (~always3(s163)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13027, 13767])).
% 13.90/9.62 tff(13769,plain,
% 13.90/9.62 (~always3(s162)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12904, 13768])).
% 13.90/9.62 tff(13770,plain,
% 13.90/9.62 (~always3(s161)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12573, 13769])).
% 13.90/9.62 tff(13771,plain,
% 13.90/9.62 (~always3(s160)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12311, 13770])).
% 13.90/9.62 tff(13772,plain,
% 13.90/9.62 (~always3(s159)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12356, 13771])).
% 13.90/9.62 tff(13773,plain,
% 13.90/9.62 (~always3(s158)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12385, 13772])).
% 13.90/9.62 tff(13774,plain,
% 13.90/9.62 (~always3(s157)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12414, 13773])).
% 13.90/9.62 tff(13775,plain,
% 13.90/9.62 (~always3(s156)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12438, 13774])).
% 13.90/9.62 tff(13776,plain,
% 13.90/9.62 (~always3(s155)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12450, 13775])).
% 13.90/9.62 tff(13777,plain,
% 13.90/9.62 (~always3(s154)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12462, 13776])).
% 13.90/9.62 tff(13778,plain,
% 13.90/9.62 (~always3(s153)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12262, 13777])).
% 13.90/9.62 tff(13779,plain,
% 13.90/9.62 (~always3(s152)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12206, 13778])).
% 13.90/9.62 tff(13780,plain,
% 13.90/9.62 (~always3(s151)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12149, 13779])).
% 13.90/9.62 tff(13781,plain,
% 13.90/9.62 (~node4(s151)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12135, 36, 13780])).
% 13.90/9.62 tff(13782,plain,
% 13.90/9.62 (~always3(s150)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[10326, 13780])).
% 13.90/9.62 tff(13783,plain,
% 13.90/9.62 (~always3(s149)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9315, 13782])).
% 13.90/9.62 tff(13784,plain,
% 13.90/9.62 (~always3(s148)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9360, 13783])).
% 13.90/9.62 tff(13785,plain,
% 13.90/9.62 (~always3(s147)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9389, 13784])).
% 13.90/9.62 tff(13786,plain,
% 13.90/9.62 (~always3(s146)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9418, 13785])).
% 13.90/9.62 tff(13787,plain,
% 13.90/9.62 (~always3(s145)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9447, 13786])).
% 13.90/9.62 tff(13788,plain,
% 13.90/9.62 (~always3(s144)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9476, 13787])).
% 13.90/9.62 tff(13789,plain,
% 13.90/9.62 (~always3(s143)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9191, 13788])).
% 13.90/9.62 tff(13790,plain,
% 13.90/9.62 (~always3(s142)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9513, 13789])).
% 13.90/9.62 tff(13791,plain,
% 13.90/9.62 (~always3(s141)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9272, 13790])).
% 13.90/9.62 tff(13792,plain,
% 13.90/9.62 (~always3(s140)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9557, 13791])).
% 13.90/9.62 tff(13793,plain,
% 13.90/9.62 (~always3(s139)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9586, 13792])).
% 13.90/9.62 tff(13794,plain,
% 13.90/9.62 (~always3(s138)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9615, 13793])).
% 13.90/9.62 tff(13795,plain,
% 13.90/9.62 (~always3(s137)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9644, 13794])).
% 13.90/9.62 tff(13796,plain,
% 13.90/9.62 (~always3(s136)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9673, 13795])).
% 13.90/9.62 tff(13797,plain,
% 13.90/9.62 (~always3(s135)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9702, 13796])).
% 13.90/9.62 tff(13798,plain,
% 13.90/9.62 (~always3(s134)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9731, 13797])).
% 13.90/9.62 tff(13799,plain,
% 13.90/9.62 (~always3(s133)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9760, 13798])).
% 13.90/9.62 tff(13800,plain,
% 13.90/9.62 (~always3(s132)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9772, 13799])).
% 13.90/9.62 tff(13801,plain,
% 13.90/9.62 (~always3(s131)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9784, 13800])).
% 13.90/9.62 tff(13802,plain,
% 13.90/9.62 (~always3(s130)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9796, 13801])).
% 13.90/9.62 tff(13803,plain,
% 13.90/9.62 (~always3(s129)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9808, 13802])).
% 13.90/9.62 tff(13804,plain,
% 13.90/9.62 (~always3(s128)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9820, 13803])).
% 13.90/9.62 tff(13805,plain,
% 13.90/9.62 (~always3(s127)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9832, 13804])).
% 13.90/9.62 tff(13806,plain,
% 13.90/9.62 (~always3(s126)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9844, 13805])).
% 13.90/9.62 tff(13807,plain,
% 13.90/9.62 (~always3(s125)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9856, 13806])).
% 13.90/9.62 tff(13808,plain,
% 13.90/9.62 (~always3(s124)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9868, 13807])).
% 13.90/9.62 tff(13809,plain,
% 13.90/9.62 (~always3(s123)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9880, 13808])).
% 13.90/9.62 tff(13810,plain,
% 13.90/9.62 (~always3(s122)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9892, 13809])).
% 13.90/9.62 tff(13811,plain,
% 13.90/9.62 (~always3(s121)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9904, 13810])).
% 13.90/9.62 tff(13812,plain,
% 13.90/9.62 (~always3(s120)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9916, 13811])).
% 13.90/9.62 tff(13813,plain,
% 13.90/9.62 (~always3(s119)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9928, 13812])).
% 13.90/9.62 tff(13814,plain,
% 13.90/9.62 (~always3(s118)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9940, 13813])).
% 13.90/9.62 tff(13815,plain,
% 13.90/9.62 (~always3(s117)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9952, 13814])).
% 13.90/9.62 tff(13816,plain,
% 13.90/9.62 (~always3(s116)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9968, 13815])).
% 13.90/9.62 tff(13817,plain,
% 13.90/9.62 (~always3(s115)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[8896, 13816])).
% 13.90/9.62 tff(13818,plain,
% 13.90/9.62 (xuntil6(s115)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9162, 13817])).
% 13.90/9.62 tff(13819,plain,
% 13.90/9.62 (until5(s116)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[9170, 13818])).
% 13.90/9.62 tff(13820,plain,
% 13.90/9.62 (xuntil6(s150)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[10266, 13819, 13782])).
% 13.90/9.62 tff(13821,plain,
% 13.90/9.62 (until5(s151)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12081, 13820])).
% 13.90/9.62 tff(13822,plain,
% 13.90/9.62 (xuntil6(s151) | node4(s151)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12130, 294, 13821])).
% 13.90/9.62 tff(13823,plain,
% 13.90/9.62 (xuntil6(s151)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13822, 13781])).
% 13.90/9.62 tff(13824,plain,
% 13.90/9.62 (until5(s152)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12184, 13823])).
% 13.90/9.62 tff(13825,plain,
% 13.90/9.62 (xuntil6(s161)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12524, 13824, 13770])).
% 13.90/9.62 tff(13826,plain,
% 13.90/9.62 ($false),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[12883, 13825, 13758])).
% 13.90/9.62 tff(13827,plain,(always3(s174) | xuntil6(s174)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.62 tff(13828,plain,
% 13.90/9.62 (always3(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13827, 13742])).
% 13.90/9.62 tff(13829,plain,
% 13.90/9.62 (succ(s174, s175) <=> succ(s174, s175)),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13830,axiom,(succ(s174, s175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound175')).
% 13.90/9.62 tff(13831,plain,
% 13.90/9.62 (succ(s174, s175)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13830, 13829])).
% 13.90/9.62 tff(13832,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13833,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13834,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13833, 13832])).
% 13.90/9.62 tff(13835,plain,
% 13.90/9.62 (trans(s174, s175)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13834, 13831, 52])).
% 13.90/9.62 tff(13836,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s174, s175)) | (~always3(s174)) | always3(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s174, s175)) | (~always3(s174)) | always3(s175))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13837,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s174, s175)) | (~always3(s174)) | always3(s175))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13838,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s174, s175)) | (~always3(s174)) | always3(s175)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 13.90/9.62 tff(13839,plain,
% 13.90/9.62 ((~always3(s174)) | always3(s175)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13838, 125, 13835])).
% 13.90/9.62 tff(13840,plain,
% 13.90/9.62 (always3(s175)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13839, 13828])).
% 13.90/9.62 tff(13841,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s175)) | (~m_main_v_state(s175, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s175)) | (~m_main_v_state(s175, c_busy)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13842,plain,
% 13.90/9.62 (((~m_main_v_state(s175, c_busy)) | (~always3(s175))) <=> ((~always3(s175)) | (~m_main_v_state(s175, c_busy)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13843,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s175, c_busy)) | (~always3(s175)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s175)) | (~m_main_v_state(s175, c_busy))))),
% 13.90/9.62 inference(monotonicity,[status(thm)],[13842])).
% 13.90/9.62 tff(13844,plain,
% 13.90/9.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s175, c_busy)) | (~always3(s175)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s175)) | (~m_main_v_state(s175, c_busy)))),
% 13.90/9.62 inference(transitivity,[status(thm)],[13843, 13841])).
% 13.90/9.62 tff(13845,plain,
% 13.90/9.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s175, c_busy)) | (~always3(s175)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13846,plain,
% 13.90/9.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s175)) | (~m_main_v_state(s175, c_busy))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13845, 13844])).
% 13.90/9.62 tff(13847,plain,
% 13.90/9.62 (~m_main_v_state(s175, c_busy)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13846, 85, 13840])).
% 13.90/9.62 tff(13848,assumption,(until5(s174)), introduced(assumption)).
% 13.90/9.62 tff(13849,plain,
% 13.90/9.62 (xuntil6(s174) | node4(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13754, 294, 13848])).
% 13.90/9.62 tff(13850,plain,
% 13.90/9.62 (node4(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13849, 13742])).
% 13.90/9.62 tff(13851,plain,
% 13.90/9.62 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s174) | (~node4(s174)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s174) | (~node4(s174)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13852,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s174) | (~node4(s174)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13853,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s174) | (~node4(s174))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13852, 13851])).
% 13.90/9.62 tff(13854,plain,
% 13.90/9.62 (m_main_v_request(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13853, 21, 13850])).
% 13.90/9.62 tff(13855,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s174, s175)) | node2(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s174, s175)) | node2(s174, s175))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13856,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s174, s175)) | node2(s174, s175))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13857,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s174, s175)) | node2(s174, s175)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13856, 13855])).
% 13.90/9.62 tff(13858,plain,
% 13.90/9.62 (node2(s174, s175)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13857, 7, 13835])).
% 13.90/9.62 tff(13859,plain,
% 13.90/9.62 (((~![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(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13860,plain,
% 13.90/9.62 ((~![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(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13861,plain,
% 13.90/9.62 ((~![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(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 13.90/9.62 tff(13862,plain,
% 13.90/9.62 ((~m_main_v_state(s174, c_ready)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174))),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13861, 73, 13858])).
% 13.90/9.62 tff(13863,plain,
% 13.90/9.62 (~m_main_v_state(s174, c_ready)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13862, 13854, 13847])).
% 13.90/9.62 tff(13864,plain,
% 13.90/9.62 (~m_main_v_state(s174, c_busy)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13663, 85, 13828])).
% 13.90/9.62 tff(13865,plain,
% 13.90/9.62 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13866,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13867,plain,
% 13.90/9.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13866, 13865])).
% 13.90/9.62 tff(13868,plain,
% 13.90/9.62 ($false),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13867, 102, 13864, 13863])).
% 13.90/9.62 tff(13869,plain,(xuntil6(s174) | (~until5(s174))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.62 tff(13870,plain,
% 13.90/9.62 (xuntil6(s174)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13869, 13741])).
% 13.90/9.62 tff(13871,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13872,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13873,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13872, 13871])).
% 13.90/9.62 tff(13874,plain,
% 13.90/9.62 ((~xuntil6(s174)) | until5(s175)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13873, 13831, 312])).
% 13.90/9.62 tff(13875,plain,
% 13.90/9.62 (until5(s175)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13874, 13870])).
% 13.90/9.62 tff(13876,assumption,(~xuntil6(s177)), introduced(assumption)).
% 13.90/9.62 tff(13877,assumption,(~always3(s177)), introduced(assumption)).
% 13.90/9.62 tff(13878,plain,
% 13.90/9.62 (succ(s176, s177) <=> succ(s176, s177)),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13879,axiom,(succ(s176, s177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound177')).
% 13.90/9.62 tff(13880,plain,
% 13.90/9.62 (succ(s176, s177)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13879, 13878])).
% 13.90/9.62 tff(13881,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13882,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13883,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13882, 13881])).
% 13.90/9.62 tff(13884,plain,
% 13.90/9.62 (trans(s176, s177)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13883, 13880, 52])).
% 13.90/9.62 tff(13885,plain,
% 13.90/9.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s176, s177)) | (~always3(s176)) | always3(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s176, s177)) | (~always3(s176)) | always3(s177))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13886,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s176, s177)) | (~always3(s176)) | always3(s177))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13887,plain,
% 13.90/9.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s176, s177)) | (~always3(s176)) | always3(s177)),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13886, 13885])).
% 13.90/9.62 tff(13888,plain,
% 13.90/9.62 ((~always3(s176)) | always3(s177)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13887, 125, 13884])).
% 13.90/9.62 tff(13889,plain,
% 13.90/9.62 (~always3(s176)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13888, 13877])).
% 13.90/9.62 tff(13890,plain,
% 13.90/9.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176)))),
% 13.90/9.62 inference(rewrite,[status(thm)],[])).
% 13.90/9.62 tff(13891,plain,
% 13.90/9.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))),
% 13.90/9.62 inference(quant_inst,[status(thm)],[])).
% 13.90/9.62 tff(13892,plain,
% 13.90/9.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176))),
% 13.90/9.62 inference(modus_ponens,[status(thm)],[13891, 13890])).
% 13.90/9.62 tff(13893,plain,
% 13.90/9.62 (~node4(s176)),
% 13.90/9.62 inference(unit_resolution,[status(thm)],[13892, 36, 13889])).
% 13.90/9.62 tff(13894,plain,
% 13.90/9.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13895,plain,
% 13.90/9.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(13896,plain,
% 13.90/9.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 13.90/9.63 tff(13897,plain,
% 13.90/9.63 (~node4(s177)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13896, 36, 13877])).
% 13.90/9.63 tff(13898,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s177) | node4(s177) | (~until5(s177)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13899,plain,
% 13.90/9.63 ((node4(s177) | (~until5(s177)) | xuntil6(s177)) <=> (xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13900,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s177) | (~until5(s177)) | xuntil6(s177))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s177) | node4(s177) | (~until5(s177))))),
% 13.90/9.63 inference(monotonicity,[status(thm)],[13899])).
% 13.90/9.63 tff(13901,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s177) | (~until5(s177)) | xuntil6(s177))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 13.90/9.63 inference(transitivity,[status(thm)],[13900, 13898])).
% 13.90/9.63 tff(13902,plain,
% 13.90/9.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s177) | (~until5(s177)) | xuntil6(s177))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(13903,plain,
% 13.90/9.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[13902, 13901])).
% 13.90/9.63 tff(13904,plain,
% 13.90/9.63 (node4(s177) | (~until5(s177))),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13903, 294, 13876])).
% 13.90/9.63 tff(13905,plain,
% 13.90/9.63 (~until5(s177)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13904, 13897])).
% 13.90/9.63 tff(13906,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13907,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(13908,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[13907, 13906])).
% 13.90/9.63 tff(13909,plain,
% 13.90/9.63 ((~xuntil6(s176)) | until5(s177)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13908, 13880, 312])).
% 13.90/9.63 tff(13910,plain,
% 13.90/9.63 (~xuntil6(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13909, 13905])).
% 13.90/9.63 tff(13911,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s176) | node4(s176) | (~until5(s176)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13912,plain,
% 13.90/9.63 ((node4(s176) | (~until5(s176)) | xuntil6(s176)) <=> (xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13913,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s176) | (~until5(s176)) | xuntil6(s176))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s176) | node4(s176) | (~until5(s176))))),
% 13.90/9.63 inference(monotonicity,[status(thm)],[13912])).
% 13.90/9.63 tff(13914,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s176) | (~until5(s176)) | xuntil6(s176))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 13.90/9.63 inference(transitivity,[status(thm)],[13913, 13911])).
% 13.90/9.63 tff(13915,plain,
% 13.90/9.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s176) | (~until5(s176)) | xuntil6(s176))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(13916,plain,
% 13.90/9.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[13915, 13914])).
% 13.90/9.63 tff(13917,plain,
% 13.90/9.63 (~until5(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13916, 294, 13910, 13893])).
% 13.90/9.63 tff(13918,plain,
% 13.90/9.63 (succ(s175, s176) <=> succ(s175, s176)),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13919,axiom,(succ(s175, s176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound176')).
% 13.90/9.63 tff(13920,plain,
% 13.90/9.63 (succ(s175, s176)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[13919, 13918])).
% 13.90/9.63 tff(13921,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13922,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(13923,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[13922, 13921])).
% 13.90/9.63 tff(13924,plain,
% 13.90/9.63 ((~xuntil6(s175)) | until5(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13923, 13920, 312])).
% 13.90/9.63 tff(13925,plain,
% 13.90/9.63 (~xuntil6(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13924, 13917])).
% 13.90/9.63 tff(13926,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13927,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(13928,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[13927, 13926])).
% 13.90/9.63 tff(13929,plain,
% 13.90/9.63 (trans(s175, s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13928, 13920, 52])).
% 13.90/9.63 tff(13930,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s175, s176)) | (~always3(s175)) | always3(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s175, s176)) | (~always3(s175)) | always3(s176))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(13931,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s175, s176)) | (~always3(s175)) | always3(s176))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(13932,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s175, s176)) | (~always3(s175)) | always3(s176)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 13.90/9.63 tff(13933,plain,
% 13.90/9.63 ((~always3(s175)) | always3(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13932, 125, 13929])).
% 13.90/9.63 tff(13934,plain,
% 13.90/9.63 (~always3(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13933, 13889])).
% 13.90/9.63 tff(13935,plain,
% 13.90/9.63 (~always3(s174)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13839, 13934])).
% 13.90/9.63 tff(13936,plain,
% 13.90/9.63 (~node4(s174)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13747, 36, 13935])).
% 13.90/9.63 tff(13937,plain,
% 13.90/9.63 (~always3(s173)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13656, 13935])).
% 13.90/9.63 tff(13938,plain,
% 13.90/9.63 (~always3(s172)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13558, 13937])).
% 13.90/9.63 tff(13939,plain,
% 13.90/9.63 (~always3(s171)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13508, 13938])).
% 13.90/9.63 tff(13940,plain,
% 13.90/9.63 (~always3(s170)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13394, 13939])).
% 13.90/9.63 tff(13941,plain,
% 13.90/9.63 (~always3(s169)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13260, 13940])).
% 13.90/9.63 tff(13942,plain,
% 13.90/9.63 (~always3(s168)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13293, 13941])).
% 13.90/9.63 tff(13943,plain,
% 13.90/9.63 (~always3(s167)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13305, 13942])).
% 13.90/9.63 tff(13944,plain,
% 13.90/9.63 (~always3(s166)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13155, 13943])).
% 13.90/9.63 tff(13945,plain,
% 13.90/9.63 (~always3(s165)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13077, 13944])).
% 13.90/9.63 tff(13946,plain,
% 13.90/9.63 (~always3(s164)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13110, 13945])).
% 13.90/9.63 tff(13947,plain,
% 13.90/9.63 (~always3(s163)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13027, 13946])).
% 13.90/9.63 tff(13948,plain,
% 13.90/9.63 (~always3(s162)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12904, 13947])).
% 13.90/9.63 tff(13949,plain,
% 13.90/9.63 (~always3(s161)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12573, 13948])).
% 13.90/9.63 tff(13950,plain,
% 13.90/9.63 (~always3(s160)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12311, 13949])).
% 13.90/9.63 tff(13951,plain,
% 13.90/9.63 (~always3(s159)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12356, 13950])).
% 13.90/9.63 tff(13952,plain,
% 13.90/9.63 (~always3(s158)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12385, 13951])).
% 13.90/9.63 tff(13953,plain,
% 13.90/9.63 (~always3(s157)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12414, 13952])).
% 13.90/9.63 tff(13954,plain,
% 13.90/9.63 (~always3(s156)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12438, 13953])).
% 13.90/9.63 tff(13955,plain,
% 13.90/9.63 (~always3(s155)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12450, 13954])).
% 13.90/9.63 tff(13956,plain,
% 13.90/9.63 (~always3(s154)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12462, 13955])).
% 13.90/9.63 tff(13957,plain,
% 13.90/9.63 (~always3(s153)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12262, 13956])).
% 13.90/9.63 tff(13958,plain,
% 13.90/9.63 (~always3(s152)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12206, 13957])).
% 13.90/9.63 tff(13959,plain,
% 13.90/9.63 (~always3(s151)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12149, 13958])).
% 13.90/9.63 tff(13960,plain,
% 13.90/9.63 (~node4(s151)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12135, 36, 13959])).
% 13.90/9.63 tff(13961,plain,
% 13.90/9.63 (~always3(s150)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[10326, 13959])).
% 13.90/9.63 tff(13962,plain,
% 13.90/9.63 (~always3(s149)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9315, 13961])).
% 13.90/9.63 tff(13963,plain,
% 13.90/9.63 (~always3(s148)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9360, 13962])).
% 13.90/9.63 tff(13964,plain,
% 13.90/9.63 (~always3(s147)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9389, 13963])).
% 13.90/9.63 tff(13965,plain,
% 13.90/9.63 (~always3(s146)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9418, 13964])).
% 13.90/9.63 tff(13966,plain,
% 13.90/9.63 (~always3(s145)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9447, 13965])).
% 13.90/9.63 tff(13967,plain,
% 13.90/9.63 (~always3(s144)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9476, 13966])).
% 13.90/9.63 tff(13968,plain,
% 13.90/9.63 (~always3(s143)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9191, 13967])).
% 13.90/9.63 tff(13969,plain,
% 13.90/9.63 (~always3(s142)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9513, 13968])).
% 13.90/9.63 tff(13970,plain,
% 13.90/9.63 (~always3(s141)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9272, 13969])).
% 13.90/9.63 tff(13971,plain,
% 13.90/9.63 (~always3(s140)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9557, 13970])).
% 13.90/9.63 tff(13972,plain,
% 13.90/9.63 (~always3(s139)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9586, 13971])).
% 13.90/9.63 tff(13973,plain,
% 13.90/9.63 (~always3(s138)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9615, 13972])).
% 13.90/9.63 tff(13974,plain,
% 13.90/9.63 (~always3(s137)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9644, 13973])).
% 13.90/9.63 tff(13975,plain,
% 13.90/9.63 (~always3(s136)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9673, 13974])).
% 13.90/9.63 tff(13976,plain,
% 13.90/9.63 (~always3(s135)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9702, 13975])).
% 13.90/9.63 tff(13977,plain,
% 13.90/9.63 (~always3(s134)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9731, 13976])).
% 13.90/9.63 tff(13978,plain,
% 13.90/9.63 (~always3(s133)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9760, 13977])).
% 13.90/9.63 tff(13979,plain,
% 13.90/9.63 (~always3(s132)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9772, 13978])).
% 13.90/9.63 tff(13980,plain,
% 13.90/9.63 (~always3(s131)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9784, 13979])).
% 13.90/9.63 tff(13981,plain,
% 13.90/9.63 (~always3(s130)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9796, 13980])).
% 13.90/9.63 tff(13982,plain,
% 13.90/9.63 (~always3(s129)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9808, 13981])).
% 13.90/9.63 tff(13983,plain,
% 13.90/9.63 (~always3(s128)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9820, 13982])).
% 13.90/9.63 tff(13984,plain,
% 13.90/9.63 (~always3(s127)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9832, 13983])).
% 13.90/9.63 tff(13985,plain,
% 13.90/9.63 (~always3(s126)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9844, 13984])).
% 13.90/9.63 tff(13986,plain,
% 13.90/9.63 (~always3(s125)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9856, 13985])).
% 13.90/9.63 tff(13987,plain,
% 13.90/9.63 (~always3(s124)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9868, 13986])).
% 13.90/9.63 tff(13988,plain,
% 13.90/9.63 (~always3(s123)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9880, 13987])).
% 13.90/9.63 tff(13989,plain,
% 13.90/9.63 (~always3(s122)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9892, 13988])).
% 13.90/9.63 tff(13990,plain,
% 13.90/9.63 (~always3(s121)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9904, 13989])).
% 13.90/9.63 tff(13991,plain,
% 13.90/9.63 (~always3(s120)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9916, 13990])).
% 13.90/9.63 tff(13992,plain,
% 13.90/9.63 (~always3(s119)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9928, 13991])).
% 13.90/9.63 tff(13993,plain,
% 13.90/9.63 (~always3(s118)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9940, 13992])).
% 13.90/9.63 tff(13994,plain,
% 13.90/9.63 (~always3(s117)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9952, 13993])).
% 13.90/9.63 tff(13995,plain,
% 13.90/9.63 (~always3(s116)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9968, 13994])).
% 13.90/9.63 tff(13996,plain,
% 13.90/9.63 (~always3(s115)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[8896, 13995])).
% 13.90/9.63 tff(13997,plain,
% 13.90/9.63 (xuntil6(s115)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9162, 13996])).
% 13.90/9.63 tff(13998,plain,
% 13.90/9.63 (until5(s116)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[9170, 13997])).
% 13.90/9.63 tff(13999,plain,
% 13.90/9.63 (xuntil6(s150)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[10266, 13998, 13961])).
% 13.90/9.63 tff(14000,plain,
% 13.90/9.63 (until5(s151)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12081, 13999])).
% 13.90/9.63 tff(14001,plain,
% 13.90/9.63 (xuntil6(s151) | node4(s151)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12130, 294, 14000])).
% 13.90/9.63 tff(14002,plain,
% 13.90/9.63 (xuntil6(s151)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14001, 13960])).
% 13.90/9.63 tff(14003,plain,
% 13.90/9.63 (until5(s152)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12184, 14002])).
% 13.90/9.63 tff(14004,plain,
% 13.90/9.63 (xuntil6(s161)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12524, 14003, 13949])).
% 13.90/9.63 tff(14005,plain,
% 13.90/9.63 (until5(s162)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[12883, 14004])).
% 13.90/9.63 tff(14006,plain,
% 13.90/9.63 (xuntil6(s173)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13637, 14005, 13937])).
% 13.90/9.63 tff(14007,plain,
% 13.90/9.63 (until5(s174)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13740, 14006])).
% 13.90/9.63 tff(14008,plain,
% 13.90/9.63 (xuntil6(s174)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13754, 294, 14007, 13936])).
% 13.90/9.63 tff(14009,plain,
% 13.90/9.63 (until5(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13874, 14008])).
% 13.90/9.63 tff(14010,plain,
% 13.90/9.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14011,plain,
% 13.90/9.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14012,plain,
% 13.90/9.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14011, 14010])).
% 13.90/9.63 tff(14013,plain,
% 13.90/9.63 (~node4(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14012, 36, 13934])).
% 13.90/9.63 tff(14014,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s175) | node4(s175) | (~until5(s175)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14015,plain,
% 13.90/9.63 ((node4(s175) | (~until5(s175)) | xuntil6(s175)) <=> (xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14016,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s175) | node4(s175) | (~until5(s175))))),
% 13.90/9.63 inference(monotonicity,[status(thm)],[14015])).
% 13.90/9.63 tff(14017,plain,
% 13.90/9.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 13.90/9.63 inference(transitivity,[status(thm)],[14016, 14014])).
% 13.90/9.63 tff(14018,plain,
% 13.90/9.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14019,plain,
% 13.90/9.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14018, 14017])).
% 13.90/9.63 tff(14020,plain,
% 13.90/9.63 (xuntil6(s175) | (~until5(s175))),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14019, 294, 14013])).
% 13.90/9.63 tff(14021,plain,
% 13.90/9.63 ($false),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14020, 14009, 13925])).
% 13.90/9.63 tff(14022,plain,(always3(s177) | xuntil6(s177)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.63 tff(14023,plain,
% 13.90/9.63 (always3(s177)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14022, 13876])).
% 13.90/9.63 tff(14024,plain,
% 13.90/9.63 (succ(s177, s178) <=> succ(s177, s178)),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14025,axiom,(succ(s177, s178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound178')).
% 13.90/9.63 tff(14026,plain,
% 13.90/9.63 (succ(s177, s178)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14025, 14024])).
% 13.90/9.63 tff(14027,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14028,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14029,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 13.90/9.63 tff(14030,plain,
% 13.90/9.63 (trans(s177, s178)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14029, 14026, 52])).
% 13.90/9.63 tff(14031,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s177, s178)) | (~always3(s177)) | always3(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s177, s178)) | (~always3(s177)) | always3(s178))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14032,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s177, s178)) | (~always3(s177)) | always3(s178))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14033,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s177, s178)) | (~always3(s177)) | always3(s178)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14032, 14031])).
% 13.90/9.63 tff(14034,plain,
% 13.90/9.63 ((~always3(s177)) | always3(s178)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14033, 125, 14030])).
% 13.90/9.63 tff(14035,plain,
% 13.90/9.63 (always3(s178)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14034, 14023])).
% 13.90/9.63 tff(14036,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s178)) | (~m_main_v_state(s178, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s178)) | (~m_main_v_state(s178, c_busy)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14037,plain,
% 13.90/9.63 (((~m_main_v_state(s178, c_busy)) | (~always3(s178))) <=> ((~always3(s178)) | (~m_main_v_state(s178, c_busy)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14038,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s178, c_busy)) | (~always3(s178)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s178)) | (~m_main_v_state(s178, c_busy))))),
% 13.90/9.63 inference(monotonicity,[status(thm)],[14037])).
% 13.90/9.63 tff(14039,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s178, c_busy)) | (~always3(s178)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s178)) | (~m_main_v_state(s178, c_busy)))),
% 13.90/9.63 inference(transitivity,[status(thm)],[14038, 14036])).
% 13.90/9.63 tff(14040,plain,
% 13.90/9.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s178, c_busy)) | (~always3(s178)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14041,plain,
% 13.90/9.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s178)) | (~m_main_v_state(s178, c_busy))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14040, 14039])).
% 13.90/9.63 tff(14042,plain,
% 13.90/9.63 (~m_main_v_state(s178, c_busy)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14041, 85, 14035])).
% 13.90/9.63 tff(14043,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s177)) | (~m_main_v_state(s177, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s177)) | (~m_main_v_state(s177, c_busy)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14044,plain,
% 13.90/9.63 (((~m_main_v_state(s177, c_busy)) | (~always3(s177))) <=> ((~always3(s177)) | (~m_main_v_state(s177, c_busy)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14045,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s177, c_busy)) | (~always3(s177)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s177)) | (~m_main_v_state(s177, c_busy))))),
% 13.90/9.63 inference(monotonicity,[status(thm)],[14044])).
% 13.90/9.63 tff(14046,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s177, c_busy)) | (~always3(s177)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s177)) | (~m_main_v_state(s177, c_busy)))),
% 13.90/9.63 inference(transitivity,[status(thm)],[14045, 14043])).
% 13.90/9.63 tff(14047,plain,
% 13.90/9.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s177, c_busy)) | (~always3(s177)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14048,plain,
% 13.90/9.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s177)) | (~m_main_v_state(s177, c_busy))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14047, 14046])).
% 13.90/9.63 tff(14049,plain,
% 13.90/9.63 (~m_main_v_state(s177, c_busy)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14048, 85, 14023])).
% 13.90/9.63 tff(14050,plain,
% 13.90/9.63 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14051,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14052,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14051, 14050])).
% 13.90/9.63 tff(14053,plain,
% 13.90/9.63 (m_main_v_state(s177, c_ready)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14052, 102, 14049])).
% 13.90/9.63 tff(14054,assumption,(until5(s175)), introduced(assumption)).
% 13.90/9.63 tff(14055,assumption,(~xuntil6(s176)), introduced(assumption)).
% 13.90/9.63 tff(14056,assumption,(~always3(s176)), introduced(assumption)).
% 13.90/9.63 tff(14057,plain,
% 13.90/9.63 (~always3(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13933, 14056])).
% 13.90/9.63 tff(14058,plain,
% 13.90/9.63 (~node4(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14012, 36, 14057])).
% 13.90/9.63 tff(14059,plain,
% 13.90/9.63 (xuntil6(s175) | node4(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14019, 294, 14054])).
% 13.90/9.63 tff(14060,plain,
% 13.90/9.63 (xuntil6(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14059, 14058])).
% 13.90/9.63 tff(14061,plain,
% 13.90/9.63 (until5(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13924, 14060])).
% 13.90/9.63 tff(14062,plain,
% 13.90/9.63 (node4(s176) | (~until5(s176))),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13916, 294, 14055])).
% 13.90/9.63 tff(14063,plain,
% 13.90/9.63 (node4(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14062, 14061])).
% 13.90/9.63 tff(14064,plain,
% 13.90/9.63 ($false),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13892, 36, 14056, 14063])).
% 13.90/9.63 tff(14065,plain,(always3(s176) | xuntil6(s176) | (~until5(s175))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.63 tff(14066,plain,
% 13.90/9.63 (always3(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14065, 14054, 14055])).
% 13.90/9.63 tff(14067,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s176)) | (~m_main_v_state(s176, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s176)) | (~m_main_v_state(s176, c_busy)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14068,plain,
% 13.90/9.63 (((~m_main_v_state(s176, c_busy)) | (~always3(s176))) <=> ((~always3(s176)) | (~m_main_v_state(s176, c_busy)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14069,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s176, c_busy)) | (~always3(s176)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s176)) | (~m_main_v_state(s176, c_busy))))),
% 13.90/9.63 inference(monotonicity,[status(thm)],[14068])).
% 13.90/9.63 tff(14070,plain,
% 13.90/9.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s176, c_busy)) | (~always3(s176)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s176)) | (~m_main_v_state(s176, c_busy)))),
% 13.90/9.63 inference(transitivity,[status(thm)],[14069, 14067])).
% 13.90/9.63 tff(14071,plain,
% 13.90/9.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s176, c_busy)) | (~always3(s176)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14072,plain,
% 13.90/9.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s176)) | (~m_main_v_state(s176, c_busy))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14071, 14070])).
% 13.90/9.63 tff(14073,plain,
% 13.90/9.63 (~m_main_v_state(s176, c_busy)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14072, 85, 14066])).
% 13.90/9.63 tff(14074,assumption,(~m_main_v_state(s177, c_busy)), introduced(assumption)).
% 13.90/9.63 tff(14075,plain,
% 13.90/9.63 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14076,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14077,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14076, 14075])).
% 13.90/9.63 tff(14078,plain,
% 13.90/9.63 (m_main_v_state(s176, c_ready)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14077, 102, 14073])).
% 13.90/9.63 tff(14079,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s176, s177)) | node2(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s176, s177)) | node2(s176, s177))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14080,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s176, s177)) | node2(s176, s177))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14081,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s176, s177)) | node2(s176, s177)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 13.90/9.63 tff(14082,plain,
% 13.90/9.63 (node2(s176, s177)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14081, 7, 13884])).
% 13.90/9.63 tff(14083,plain,
% 13.90/9.63 (((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14084,plain,
% 13.90/9.63 ((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14085,plain,
% 13.90/9.63 ((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14084, 14083])).
% 13.90/9.63 tff(14086,plain,
% 13.90/9.63 ((~m_main_v_state(s176, c_ready)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176))),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14085, 73, 14082])).
% 13.90/9.63 tff(14087,plain,
% 13.90/9.63 (~m_main_v_request(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14086, 14078, 14074])).
% 13.90/9.63 tff(14088,plain,
% 13.90/9.63 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s176) | (~node4(s176)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s176) | (~node4(s176)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14089,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s176) | (~node4(s176)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14090,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s176) | (~node4(s176))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14089, 14088])).
% 13.90/9.63 tff(14091,plain,
% 13.90/9.63 (~node4(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14090, 21, 14087])).
% 13.90/9.63 tff(14092,plain,
% 13.90/9.63 (~until5(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14062, 14091])).
% 13.90/9.63 tff(14093,plain,
% 13.90/9.63 (~xuntil6(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13924, 14092])).
% 13.90/9.63 tff(14094,plain,
% 13.90/9.63 (node4(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14059, 14093])).
% 13.90/9.63 tff(14095,plain,
% 13.90/9.63 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s175) | (~node4(s175)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s175) | (~node4(s175)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14096,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s175) | (~node4(s175)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14097,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s175) | (~node4(s175))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14096, 14095])).
% 13.90/9.63 tff(14098,plain,
% 13.90/9.63 (m_main_v_request(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14097, 21, 14094])).
% 13.90/9.63 tff(14099,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s175, s176)) | node2(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s175, s176)) | node2(s175, s176))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14100,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s175, s176)) | node2(s175, s176))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14101,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s175, s176)) | node2(s175, s176)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14100, 14099])).
% 13.90/9.63 tff(14102,plain,
% 13.90/9.63 (node2(s175, s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14101, 7, 13929])).
% 13.90/9.63 tff(14103,plain,
% 13.90/9.63 (((~![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(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14104,plain,
% 13.90/9.63 ((~![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(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14105,plain,
% 13.90/9.63 ((~![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(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 13.90/9.63 tff(14106,plain,
% 13.90/9.63 ((~m_main_v_state(s175, c_ready)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175))),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14105, 73, 14102])).
% 13.90/9.63 tff(14107,plain,
% 13.90/9.63 (~m_main_v_state(s175, c_ready)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14106, 14098, 14073])).
% 13.90/9.63 tff(14108,plain,
% 13.90/9.63 (always3(s175)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14012, 36, 14094])).
% 13.90/9.63 tff(14109,plain,
% 13.90/9.63 (~m_main_v_state(s175, c_busy)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13846, 85, 14108])).
% 13.90/9.63 tff(14110,plain,
% 13.90/9.63 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14111,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14112,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14111, 14110])).
% 13.90/9.63 tff(14113,plain,
% 13.90/9.63 ($false),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14112, 102, 14109, 14107])).
% 13.90/9.63 tff(14114,plain,((~until5(s175)) | xuntil6(s176) | m_main_v_state(s177, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.63 tff(14115,plain,
% 13.90/9.63 (xuntil6(s176)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14114, 14049, 14054])).
% 13.90/9.63 tff(14116,plain,
% 13.90/9.63 (until5(s177)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13909, 14115])).
% 13.90/9.63 tff(14117,plain,
% 13.90/9.63 (node4(s177)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[13904, 14116])).
% 13.90/9.63 tff(14118,plain,
% 13.90/9.63 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s177) | (~node4(s177)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s177) | (~node4(s177)))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14119,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s177) | (~node4(s177)))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14120,plain,
% 13.90/9.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s177) | (~node4(s177))),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14119, 14118])).
% 13.90/9.63 tff(14121,plain,
% 13.90/9.63 (m_main_v_request(s177)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14120, 21, 14117])).
% 13.90/9.63 tff(14122,plain,
% 13.90/9.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s177, s178)) | node2(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s177, s178)) | node2(s177, s178))),
% 13.90/9.63 inference(rewrite,[status(thm)],[])).
% 13.90/9.63 tff(14123,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s177, s178)) | node2(s177, s178))),
% 13.90/9.63 inference(quant_inst,[status(thm)],[])).
% 13.90/9.63 tff(14124,plain,
% 13.90/9.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s177, s178)) | node2(s177, s178)),
% 13.90/9.63 inference(modus_ponens,[status(thm)],[14123, 14122])).
% 13.90/9.63 tff(14125,plain,
% 13.90/9.63 (node2(s177, s178)),
% 13.90/9.63 inference(unit_resolution,[status(thm)],[14124, 7, 14030])).
% 13.90/9.63 tff(14126,plain,
% 13.90/9.63 (((~![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(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14127,plain,
% 13.90/9.64 ((~![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(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177)))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14128,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14127, 14126])).
% 13.90/9.64 tff(14129,plain,
% 13.90/9.64 ((~m_main_v_state(s177, c_ready)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14128, 73, 14125])).
% 13.90/9.64 tff(14130,plain,
% 13.90/9.64 ($false),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14129, 14121, 14053, 14042])).
% 13.90/9.64 tff(14131,plain,(xuntil6(s177) | (~until5(s175))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.64 tff(14132,plain,
% 13.90/9.64 (xuntil6(s177)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14131, 13875])).
% 13.90/9.64 tff(14133,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14134,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14135,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14134, 14133])).
% 13.90/9.64 tff(14136,plain,
% 13.90/9.64 ((~xuntil6(s177)) | until5(s178)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14135, 14026, 312])).
% 13.90/9.64 tff(14137,plain,
% 13.90/9.64 (until5(s178)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14136, 14132])).
% 13.90/9.64 tff(14138,assumption,(until5(s178)), introduced(assumption)).
% 13.90/9.64 tff(14139,assumption,(~xuntil6(s183)), introduced(assumption)).
% 13.90/9.64 tff(14140,assumption,(~always3(s183)), introduced(assumption)).
% 13.90/9.64 tff(14141,plain,
% 13.90/9.64 (succ(s182, s183) <=> succ(s182, s183)),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14142,axiom,(succ(s182, s183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound183')).
% 13.90/9.64 tff(14143,plain,
% 13.90/9.64 (succ(s182, s183)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14142, 14141])).
% 13.90/9.64 tff(14144,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14145,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14146,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14145, 14144])).
% 13.90/9.64 tff(14147,plain,
% 13.90/9.64 (trans(s182, s183)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14146, 14143, 52])).
% 13.90/9.64 tff(14148,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s182, s183)) | (~always3(s182)) | always3(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s182, s183)) | (~always3(s182)) | always3(s183))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14149,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s182, s183)) | (~always3(s182)) | always3(s183))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14150,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s182, s183)) | (~always3(s182)) | always3(s183)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14149, 14148])).
% 13.90/9.64 tff(14151,plain,
% 13.90/9.64 ((~always3(s182)) | always3(s183)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14150, 125, 14147])).
% 13.90/9.64 tff(14152,plain,
% 13.90/9.64 (~always3(s182)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14151, 14140])).
% 13.90/9.64 tff(14153,plain,
% 13.90/9.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s182) | (~node4(s182)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s182) | (~node4(s182)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14154,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s182) | (~node4(s182)))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14155,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s182) | (~node4(s182))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14154, 14153])).
% 13.90/9.64 tff(14156,plain,
% 13.90/9.64 (~node4(s182)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14155, 36, 14152])).
% 13.90/9.64 tff(14157,plain,
% 13.90/9.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14158,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14159,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14158, 14157])).
% 13.90/9.64 tff(14160,plain,
% 13.90/9.64 (~node4(s183)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14159, 36, 14140])).
% 13.90/9.64 tff(14161,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s183) | node4(s183) | (~until5(s183)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14162,plain,
% 13.90/9.64 ((node4(s183) | (~until5(s183)) | xuntil6(s183)) <=> (xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14163,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s183) | (~until5(s183)) | xuntil6(s183))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s183) | node4(s183) | (~until5(s183))))),
% 13.90/9.64 inference(monotonicity,[status(thm)],[14162])).
% 13.90/9.64 tff(14164,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s183) | (~until5(s183)) | xuntil6(s183))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 13.90/9.64 inference(transitivity,[status(thm)],[14163, 14161])).
% 13.90/9.64 tff(14165,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s183) | (~until5(s183)) | xuntil6(s183))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14166,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s183) | node4(s183) | (~until5(s183))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14165, 14164])).
% 13.90/9.64 tff(14167,plain,
% 13.90/9.64 (node4(s183) | (~until5(s183))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14166, 294, 14139])).
% 13.90/9.64 tff(14168,plain,
% 13.90/9.64 (~until5(s183)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14167, 14160])).
% 13.90/9.64 tff(14169,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14170,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14171,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14170, 14169])).
% 13.90/9.64 tff(14172,plain,
% 13.90/9.64 ((~xuntil6(s182)) | until5(s183)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14171, 14143, 312])).
% 13.90/9.64 tff(14173,plain,
% 13.90/9.64 (~xuntil6(s182)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14172, 14168])).
% 13.90/9.64 tff(14174,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s182) | node4(s182) | (~until5(s182)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14175,plain,
% 13.90/9.64 ((node4(s182) | (~until5(s182)) | xuntil6(s182)) <=> (xuntil6(s182) | node4(s182) | (~until5(s182)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14176,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s182) | (~until5(s182)) | xuntil6(s182))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s182) | node4(s182) | (~until5(s182))))),
% 13.90/9.64 inference(monotonicity,[status(thm)],[14175])).
% 13.90/9.64 tff(14177,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s182) | (~until5(s182)) | xuntil6(s182))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182)))),
% 13.90/9.64 inference(transitivity,[status(thm)],[14176, 14174])).
% 13.90/9.64 tff(14178,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s182) | (~until5(s182)) | xuntil6(s182))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14179,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 13.90/9.64 tff(14180,plain,
% 13.90/9.64 (~until5(s182)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14179, 294, 14173, 14156])).
% 13.90/9.64 tff(14181,plain,
% 13.90/9.64 (succ(s181, s182) <=> succ(s181, s182)),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14182,axiom,(succ(s181, s182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound182')).
% 13.90/9.64 tff(14183,plain,
% 13.90/9.64 (succ(s181, s182)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 13.90/9.64 tff(14184,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14185,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14186,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14185, 14184])).
% 13.90/9.64 tff(14187,plain,
% 13.90/9.64 ((~xuntil6(s181)) | until5(s182)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14186, 14183, 312])).
% 13.90/9.64 tff(14188,plain,
% 13.90/9.64 (~xuntil6(s181)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14187, 14180])).
% 13.90/9.64 tff(14189,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14190,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14191,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 13.90/9.64 tff(14192,plain,
% 13.90/9.64 (trans(s181, s182)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14191, 14183, 52])).
% 13.90/9.64 tff(14193,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s181, s182)) | (~always3(s181)) | always3(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s181, s182)) | (~always3(s181)) | always3(s182))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14194,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s181, s182)) | (~always3(s181)) | always3(s182))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14195,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s181, s182)) | (~always3(s181)) | always3(s182)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14194, 14193])).
% 13.90/9.64 tff(14196,plain,
% 13.90/9.64 ((~always3(s181)) | always3(s182)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14195, 125, 14192])).
% 13.90/9.64 tff(14197,plain,
% 13.90/9.64 (~always3(s181)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14196, 14152])).
% 13.90/9.64 tff(14198,plain,
% 13.90/9.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s181) | (~node4(s181)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s181) | (~node4(s181)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14199,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s181) | (~node4(s181)))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14200,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s181) | (~node4(s181))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14199, 14198])).
% 13.90/9.64 tff(14201,plain,
% 13.90/9.64 (~node4(s181)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14200, 36, 14197])).
% 13.90/9.64 tff(14202,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s181) | node4(s181) | (~until5(s181)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s181) | node4(s181) | (~until5(s181)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14203,plain,
% 13.90/9.64 ((node4(s181) | (~until5(s181)) | xuntil6(s181)) <=> (xuntil6(s181) | node4(s181) | (~until5(s181)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14204,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s181) | (~until5(s181)) | xuntil6(s181))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s181) | node4(s181) | (~until5(s181))))),
% 13.90/9.64 inference(monotonicity,[status(thm)],[14203])).
% 13.90/9.64 tff(14205,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s181) | (~until5(s181)) | xuntil6(s181))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s181) | node4(s181) | (~until5(s181)))),
% 13.90/9.64 inference(transitivity,[status(thm)],[14204, 14202])).
% 13.90/9.64 tff(14206,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s181) | (~until5(s181)) | xuntil6(s181))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14207,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s181) | node4(s181) | (~until5(s181))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14206, 14205])).
% 13.90/9.64 tff(14208,plain,
% 13.90/9.64 (xuntil6(s181) | (~until5(s181))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14207, 294, 14201])).
% 13.90/9.64 tff(14209,plain,
% 13.90/9.64 (~until5(s181)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14208, 14188])).
% 13.90/9.64 tff(14210,plain,
% 13.90/9.64 (succ(s180, s181) <=> succ(s180, s181)),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14211,axiom,(succ(s180, s181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound181')).
% 13.90/9.64 tff(14212,plain,
% 13.90/9.64 (succ(s180, s181)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 13.90/9.64 tff(14213,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14214,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14215,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14214, 14213])).
% 13.90/9.64 tff(14216,plain,
% 13.90/9.64 ((~xuntil6(s180)) | until5(s181)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14215, 14212, 312])).
% 13.90/9.64 tff(14217,plain,
% 13.90/9.64 (~xuntil6(s180)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14216, 14209])).
% 13.90/9.64 tff(14218,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14219,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14220,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14219, 14218])).
% 13.90/9.64 tff(14221,plain,
% 13.90/9.64 (trans(s180, s181)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14220, 14212, 52])).
% 13.90/9.64 tff(14222,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s180, s181)) | (~always3(s180)) | always3(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s180, s181)) | (~always3(s180)) | always3(s181))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14223,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s180, s181)) | (~always3(s180)) | always3(s181))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14224,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s180, s181)) | (~always3(s180)) | always3(s181)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14223, 14222])).
% 13.90/9.64 tff(14225,plain,
% 13.90/9.64 ((~always3(s180)) | always3(s181)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14224, 125, 14221])).
% 13.90/9.64 tff(14226,plain,
% 13.90/9.64 (~always3(s180)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14225, 14197])).
% 13.90/9.64 tff(14227,plain,
% 13.90/9.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s180) | (~node4(s180)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s180) | (~node4(s180)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14228,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s180) | (~node4(s180)))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14229,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s180) | (~node4(s180))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14228, 14227])).
% 13.90/9.64 tff(14230,plain,
% 13.90/9.64 (~node4(s180)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14229, 36, 14226])).
% 13.90/9.64 tff(14231,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s180) | node4(s180) | (~until5(s180)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s180) | node4(s180) | (~until5(s180)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14232,plain,
% 13.90/9.64 ((node4(s180) | (~until5(s180)) | xuntil6(s180)) <=> (xuntil6(s180) | node4(s180) | (~until5(s180)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14233,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s180) | (~until5(s180)) | xuntil6(s180))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s180) | node4(s180) | (~until5(s180))))),
% 13.90/9.64 inference(monotonicity,[status(thm)],[14232])).
% 13.90/9.64 tff(14234,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s180) | (~until5(s180)) | xuntil6(s180))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s180) | node4(s180) | (~until5(s180)))),
% 13.90/9.64 inference(transitivity,[status(thm)],[14233, 14231])).
% 13.90/9.64 tff(14235,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s180) | (~until5(s180)) | xuntil6(s180))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14236,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s180) | node4(s180) | (~until5(s180))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14235, 14234])).
% 13.90/9.64 tff(14237,plain,
% 13.90/9.64 (xuntil6(s180) | (~until5(s180))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14236, 294, 14230])).
% 13.90/9.64 tff(14238,plain,
% 13.90/9.64 (~until5(s180)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14237, 14217])).
% 13.90/9.64 tff(14239,plain,
% 13.90/9.64 (succ(s179, s180) <=> succ(s179, s180)),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14240,axiom,(succ(s179, s180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound180')).
% 13.90/9.64 tff(14241,plain,
% 13.90/9.64 (succ(s179, s180)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14240, 14239])).
% 13.90/9.64 tff(14242,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14243,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14244,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14243, 14242])).
% 13.90/9.64 tff(14245,plain,
% 13.90/9.64 ((~xuntil6(s179)) | until5(s180)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14244, 14241, 312])).
% 13.90/9.64 tff(14246,plain,
% 13.90/9.64 (~xuntil6(s179)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14245, 14238])).
% 13.90/9.64 tff(14247,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14248,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14249,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14248, 14247])).
% 13.90/9.64 tff(14250,plain,
% 13.90/9.64 (trans(s179, s180)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14249, 14241, 52])).
% 13.90/9.64 tff(14251,plain,
% 13.90/9.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s179, s180)) | (~always3(s179)) | always3(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s179, s180)) | (~always3(s179)) | always3(s180))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14252,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s179, s180)) | (~always3(s179)) | always3(s180))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14253,plain,
% 13.90/9.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s179, s180)) | (~always3(s179)) | always3(s180)),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14252, 14251])).
% 13.90/9.64 tff(14254,plain,
% 13.90/9.64 ((~always3(s179)) | always3(s180)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14253, 125, 14250])).
% 13.90/9.64 tff(14255,plain,
% 13.90/9.64 (~always3(s179)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14254, 14226])).
% 13.90/9.64 tff(14256,plain,
% 13.90/9.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s179) | (~node4(s179)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s179) | (~node4(s179)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14257,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s179) | (~node4(s179)))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14258,plain,
% 13.90/9.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s179) | (~node4(s179))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14257, 14256])).
% 13.90/9.64 tff(14259,plain,
% 13.90/9.64 (~node4(s179)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14258, 36, 14255])).
% 13.90/9.64 tff(14260,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s179) | node4(s179) | (~until5(s179)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s179) | node4(s179) | (~until5(s179)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14261,plain,
% 13.90/9.64 ((node4(s179) | (~until5(s179)) | xuntil6(s179)) <=> (xuntil6(s179) | node4(s179) | (~until5(s179)))),
% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14262,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s179) | (~until5(s179)) | xuntil6(s179))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s179) | node4(s179) | (~until5(s179))))),
% 13.90/9.64 inference(monotonicity,[status(thm)],[14261])).
% 13.90/9.64 tff(14263,plain,
% 13.90/9.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s179) | (~until5(s179)) | xuntil6(s179))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s179) | node4(s179) | (~until5(s179)))),
% 13.90/9.64 inference(transitivity,[status(thm)],[14262, 14260])).
% 13.90/9.64 tff(14264,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s179) | (~until5(s179)) | xuntil6(s179))),
% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
% 13.90/9.64 tff(14265,plain,
% 13.90/9.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s179) | node4(s179) | (~until5(s179))),
% 13.90/9.64 inference(modus_ponens,[status(thm)],[14264, 14263])).
% 13.90/9.64 tff(14266,plain,
% 13.90/9.64 (xuntil6(s179) | (~until5(s179))),
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% 13.90/9.64 inference(unit_resolution,[status(thm)],[14266, 14246])).
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% 13.90/9.64 inference(rewrite,[status(thm)],[])).
% 13.90/9.64 tff(14269,axiom,(succ(s178, s179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound179')).
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% 13.90/9.64 inference(rewrite,[status(thm)],[])).
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% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
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% 13.90/9.64 inference(modus_ponens,[status(thm)],[14272, 14271])).
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% 13.90/9.64 inference(unit_resolution,[status(thm)],[14273, 14270, 312])).
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% 13.90/9.64 inference(rewrite,[status(thm)],[])).
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% 13.90/9.64 inference(quant_inst,[status(thm)],[])).
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% 13.90/9.64 inference(rewrite,[status(thm)],[])).
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% 13.90/9.64 inference(modus_ponens,[status(thm)],[14281, 14280])).
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% 13.90/9.64 inference(unit_resolution,[status(thm)],[14283, 14255])).
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% 13.90/9.64 inference(rewrite,[status(thm)],[])).
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% 13.90/9.64 inference(unit_resolution,[status(thm)],[14370, 14368])).
% 13.90/9.64 tff(14372,plain,
% 13.90/9.64 (until5(s155)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12488, 14371])).
% 13.90/9.64 tff(14373,plain,
% 13.90/9.64 (~node4(s155)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12492, 36, 14359])).
% 13.90/9.64 tff(14374,plain,
% 13.90/9.64 (xuntil6(s155) | (~until5(s155))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12499, 294, 14373])).
% 13.90/9.64 tff(14375,plain,
% 13.90/9.64 (xuntil6(s155)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14374, 14372])).
% 13.90/9.64 tff(14376,plain,
% 13.90/9.64 (until5(s156)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12505, 14375])).
% 13.90/9.64 tff(14377,plain,
% 13.90/9.64 (~node4(s156)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12509, 36, 14358])).
% 13.90/9.64 tff(14378,plain,
% 13.90/9.64 (xuntil6(s156) | (~until5(s156))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12516, 294, 14377])).
% 13.90/9.64 tff(14379,plain,
% 13.90/9.64 (xuntil6(s156)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14378, 14376])).
% 13.90/9.64 tff(14380,plain,
% 13.90/9.64 (until5(s157)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12522, 14379])).
% 13.90/9.64 tff(14381,plain,
% 13.90/9.64 (~node4(s157)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12418, 36, 14357])).
% 13.90/9.64 tff(14382,plain,
% 13.90/9.64 (xuntil6(s157) | (~until5(s157))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12425, 294, 14381])).
% 13.90/9.64 tff(14383,plain,
% 13.90/9.64 (xuntil6(s157)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14382, 14380])).
% 13.90/9.64 tff(14384,plain,
% 13.90/9.64 (until5(s158)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12405, 14383])).
% 13.90/9.64 tff(14385,plain,
% 13.90/9.64 (~node4(s158)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12389, 36, 14356])).
% 13.90/9.64 tff(14386,plain,
% 13.90/9.64 (xuntil6(s158) | (~until5(s158))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12396, 294, 14385])).
% 13.90/9.64 tff(14387,plain,
% 13.90/9.64 (xuntil6(s158)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14386, 14384])).
% 13.90/9.64 tff(14388,plain,
% 13.90/9.64 (until5(s159)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12376, 14387])).
% 13.90/9.64 tff(14389,plain,
% 13.90/9.64 (~node4(s159)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12360, 36, 14355])).
% 13.90/9.64 tff(14390,plain,
% 13.90/9.64 (xuntil6(s159) | (~until5(s159))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12367, 294, 14389])).
% 13.90/9.64 tff(14391,plain,
% 13.90/9.64 (xuntil6(s159)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14390, 14388])).
% 13.90/9.64 tff(14392,plain,
% 13.90/9.64 (until5(s160)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12347, 14391])).
% 13.90/9.64 tff(14393,plain,
% 13.90/9.64 (~node4(s160)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12315, 36, 14354])).
% 13.90/9.64 tff(14394,plain,
% 13.90/9.64 (xuntil6(s160) | (~until5(s160))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12339, 294, 14393])).
% 13.90/9.64 tff(14395,plain,
% 13.90/9.64 (xuntil6(s160)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14394, 14392])).
% 13.90/9.64 tff(14396,plain,
% 13.90/9.64 (until5(s161)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12332, 14395])).
% 13.90/9.64 tff(14397,plain,
% 13.90/9.64 (~node4(s161)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12319, 36, 14353])).
% 13.90/9.64 tff(14398,plain,
% 13.90/9.64 (xuntil6(s161) | (~until5(s161))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12326, 294, 14397])).
% 13.90/9.64 tff(14399,plain,
% 13.90/9.64 (xuntil6(s161)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14398, 14396])).
% 13.90/9.64 tff(14400,plain,
% 13.90/9.64 (until5(s162)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12883, 14399])).
% 13.90/9.64 tff(14401,plain,
% 13.90/9.64 (~node4(s162)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12892, 36, 14352])).
% 13.90/9.64 tff(14402,plain,
% 13.90/9.64 (xuntil6(s162) | (~until5(s162))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12933, 294, 14401])).
% 13.90/9.64 tff(14403,plain,
% 13.90/9.64 (xuntil6(s162)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14402, 14400])).
% 13.90/9.64 tff(14404,plain,
% 13.90/9.64 (until5(s163)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12939, 14403])).
% 13.90/9.64 tff(14405,plain,
% 13.90/9.64 (~node4(s163)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12945, 36, 14351])).
% 13.90/9.64 tff(14406,plain,
% 13.90/9.64 (xuntil6(s163) | (~until5(s163))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12952, 294, 14405])).
% 13.90/9.64 tff(14407,plain,
% 13.90/9.64 (xuntil6(s163)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14406, 14404])).
% 13.90/9.64 tff(14408,plain,
% 13.90/9.64 (until5(s164)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13062, 14407])).
% 13.90/9.64 tff(14409,plain,
% 13.90/9.64 (~node4(s164)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13114, 36, 14350])).
% 13.90/9.64 tff(14410,plain,
% 13.90/9.64 (xuntil6(s164) | (~until5(s164))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13121, 294, 14409])).
% 13.90/9.64 tff(14411,plain,
% 13.90/9.64 (xuntil6(s164)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14410, 14408])).
% 13.90/9.64 tff(14412,plain,
% 13.90/9.64 (until5(s165)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13127, 14411])).
% 13.90/9.64 tff(14413,plain,
% 13.90/9.64 (~node4(s165)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13081, 36, 14349])).
% 13.90/9.64 tff(14414,plain,
% 13.90/9.64 (xuntil6(s165) | (~until5(s165))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13134, 294, 14413])).
% 13.90/9.64 tff(14415,plain,
% 13.90/9.64 (xuntil6(s165)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14414, 14412])).
% 13.90/9.64 tff(14416,plain,
% 13.90/9.64 (until5(s166)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13098, 14415])).
% 13.90/9.64 tff(14417,plain,
% 13.90/9.64 (~node4(s166)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13085, 36, 14348])).
% 13.90/9.64 tff(14418,plain,
% 13.90/9.64 (xuntil6(s166) | (~until5(s166))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13092, 294, 14417])).
% 13.90/9.64 tff(14419,plain,
% 13.90/9.64 (xuntil6(s166)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14418, 14416])).
% 13.90/9.64 tff(14420,plain,
% 13.90/9.64 (until5(s167)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13245, 14419])).
% 13.90/9.64 tff(14421,plain,
% 13.90/9.64 (~node4(s167)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13309, 36, 14347])).
% 13.90/9.64 tff(14422,plain,
% 13.90/9.64 (xuntil6(s167) | (~until5(s167))),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13316, 294, 14421])).
% 13.90/9.64 tff(14423,plain,
% 13.90/9.64 (xuntil6(s167)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14422, 14420])).
% 13.90/9.64 tff(14424,plain,
% 13.90/9.64 ($false),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[13322, 14423, 14346])).
% 13.90/9.64 tff(14425,plain,(always3(s183) | (~until5(s152)) | xuntil6(s183)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.64 tff(14426,plain,
% 13.90/9.64 (~until5(s152)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[14425, 14140, 14139])).
% 13.90/9.64 tff(14427,plain,
% 13.90/9.64 (~xuntil6(s151)),
% 13.90/9.64 inference(unit_resolution,[status(thm)],[12184, 14426])).
% 13.90/9.64 tff(14428,plain,
% 13.90/9.65 (~always3(s151)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[12149, 14363])).
% 13.90/9.65 tff(14429,plain,
% 13.90/9.65 (~always3(s150)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[10326, 14428])).
% 13.90/9.65 tff(14430,plain,
% 13.90/9.65 (~always3(s149)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9315, 14429])).
% 13.90/9.65 tff(14431,plain,
% 13.90/9.65 (~always3(s148)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9360, 14430])).
% 13.90/9.65 tff(14432,plain,
% 13.90/9.65 (~always3(s147)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9389, 14431])).
% 13.90/9.65 tff(14433,plain,
% 13.90/9.65 (~always3(s146)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9418, 14432])).
% 13.90/9.65 tff(14434,plain,
% 13.90/9.65 (~always3(s145)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9447, 14433])).
% 13.90/9.65 tff(14435,plain,
% 13.90/9.65 (~always3(s144)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9476, 14434])).
% 13.90/9.65 tff(14436,plain,
% 13.90/9.65 (~always3(s143)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9191, 14435])).
% 13.90/9.65 tff(14437,plain,
% 13.90/9.65 (~always3(s142)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9513, 14436])).
% 13.90/9.65 tff(14438,plain,
% 13.90/9.65 (~always3(s141)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9272, 14437])).
% 13.90/9.65 tff(14439,plain,
% 13.90/9.65 (~always3(s140)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9557, 14438])).
% 13.90/9.65 tff(14440,plain,
% 13.90/9.65 (~always3(s139)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9586, 14439])).
% 13.90/9.65 tff(14441,plain,
% 13.90/9.65 (~always3(s138)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9615, 14440])).
% 13.90/9.65 tff(14442,plain,
% 13.90/9.65 (~always3(s137)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9644, 14441])).
% 13.90/9.65 tff(14443,plain,
% 13.90/9.65 (~always3(s136)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9673, 14442])).
% 13.90/9.65 tff(14444,plain,
% 13.90/9.65 (~always3(s135)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9702, 14443])).
% 13.90/9.65 tff(14445,plain,
% 13.90/9.65 (~always3(s134)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9731, 14444])).
% 13.90/9.65 tff(14446,plain,
% 13.90/9.65 (~always3(s133)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9760, 14445])).
% 13.90/9.65 tff(14447,plain,
% 13.90/9.65 (~always3(s132)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9772, 14446])).
% 13.90/9.65 tff(14448,plain,
% 13.90/9.65 (~always3(s131)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9784, 14447])).
% 13.90/9.65 tff(14449,plain,
% 13.90/9.65 (~always3(s130)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9796, 14448])).
% 13.90/9.65 tff(14450,plain,
% 13.90/9.65 (~always3(s129)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9808, 14449])).
% 13.90/9.65 tff(14451,plain,
% 13.90/9.65 (~always3(s128)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9820, 14450])).
% 13.90/9.65 tff(14452,plain,
% 13.90/9.65 (~always3(s127)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9832, 14451])).
% 13.90/9.65 tff(14453,plain,
% 13.90/9.65 (~always3(s126)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9844, 14452])).
% 13.90/9.65 tff(14454,plain,
% 13.90/9.65 (~always3(s125)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9856, 14453])).
% 13.90/9.65 tff(14455,plain,
% 13.90/9.65 (~always3(s124)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9868, 14454])).
% 13.90/9.65 tff(14456,plain,
% 13.90/9.65 (~always3(s123)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9880, 14455])).
% 13.90/9.65 tff(14457,plain,
% 13.90/9.65 (~always3(s122)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9892, 14456])).
% 13.90/9.65 tff(14458,plain,
% 13.90/9.65 (~always3(s121)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9904, 14457])).
% 13.90/9.65 tff(14459,plain,
% 13.90/9.65 (~always3(s120)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9916, 14458])).
% 13.90/9.65 tff(14460,plain,
% 13.90/9.65 (~always3(s119)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9928, 14459])).
% 13.90/9.65 tff(14461,plain,
% 13.90/9.65 (~always3(s118)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9940, 14460])).
% 13.90/9.65 tff(14462,plain,
% 13.90/9.65 (~always3(s117)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9952, 14461])).
% 13.90/9.65 tff(14463,plain,
% 13.90/9.65 (~always3(s116)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9968, 14462])).
% 13.90/9.65 tff(14464,plain,
% 13.90/9.65 (~always3(s115)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[8896, 14463])).
% 13.90/9.65 tff(14465,plain,
% 13.90/9.65 (xuntil6(s115)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9162, 14464])).
% 13.90/9.65 tff(14466,plain,
% 13.90/9.65 (until5(s116)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[9170, 14465])).
% 13.90/9.65 tff(14467,plain,
% 13.90/9.65 (xuntil6(s150)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[10266, 14466, 14429])).
% 13.90/9.65 tff(14468,plain,
% 13.90/9.65 (until5(s151)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[12081, 14467])).
% 13.90/9.65 tff(14469,plain,
% 13.90/9.65 (node4(s151)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[12130, 294, 14468, 14427])).
% 13.90/9.65 tff(14470,plain,
% 13.90/9.65 ($false),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[12135, 36, 14428, 14469])).
% 13.90/9.65 tff(14471,plain,(always3(s183) | xuntil6(s183)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.65 tff(14472,plain,
% 13.90/9.65 (always3(s183)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14471, 14139])).
% 13.90/9.65 tff(14473,plain,
% 13.90/9.65 (succ(s183, s184) <=> succ(s183, s184)),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14474,axiom,(succ(s183, s184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound184')).
% 13.90/9.65 tff(14475,plain,
% 13.90/9.65 (succ(s183, s184)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14474, 14473])).
% 13.90/9.65 tff(14476,plain,
% 13.90/9.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14477,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14478,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14477, 14476])).
% 13.90/9.65 tff(14479,plain,
% 13.90/9.65 (trans(s183, s184)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14478, 14475, 52])).
% 13.90/9.65 tff(14480,plain,
% 13.90/9.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s183, s184)) | (~always3(s183)) | always3(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s183, s184)) | (~always3(s183)) | always3(s184))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14481,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s183, s184)) | (~always3(s183)) | always3(s184))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14482,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s183, s184)) | (~always3(s183)) | always3(s184)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 13.90/9.65 tff(14483,plain,
% 13.90/9.65 ((~always3(s183)) | always3(s184)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14482, 125, 14479])).
% 13.90/9.65 tff(14484,plain,
% 13.90/9.65 (always3(s184)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14483, 14472])).
% 13.90/9.65 tff(14485,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s184)) | (~m_main_v_state(s184, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14486,plain,
% 13.90/9.65 (((~m_main_v_state(s184, c_busy)) | (~always3(s184))) <=> ((~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14487,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s184)) | (~m_main_v_state(s184, c_busy))))),
% 13.90/9.65 inference(monotonicity,[status(thm)],[14486])).
% 13.90/9.65 tff(14488,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 13.90/9.65 inference(transitivity,[status(thm)],[14487, 14485])).
% 13.90/9.65 tff(14489,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14490,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 13.90/9.65 tff(14491,plain,
% 13.90/9.65 (~m_main_v_state(s184, c_busy)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14490, 85, 14484])).
% 13.90/9.65 tff(14492,assumption,(until5(s183)), introduced(assumption)).
% 13.90/9.65 tff(14493,plain,
% 13.90/9.65 (xuntil6(s183) | node4(s183)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14166, 294, 14492])).
% 13.90/9.65 tff(14494,plain,
% 13.90/9.65 (node4(s183)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14493, 14139])).
% 13.90/9.65 tff(14495,plain,
% 13.90/9.65 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s183) | (~node4(s183)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s183) | (~node4(s183)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14496,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s183) | (~node4(s183)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14497,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s183) | (~node4(s183))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14496, 14495])).
% 13.90/9.65 tff(14498,plain,
% 13.90/9.65 (m_main_v_request(s183)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14497, 21, 14494])).
% 13.90/9.65 tff(14499,plain,
% 13.90/9.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s183, s184)) | node2(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s183, s184)) | node2(s183, s184))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14500,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s183, s184)) | node2(s183, s184))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14501,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s183, s184)) | node2(s183, s184)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14500, 14499])).
% 13.90/9.65 tff(14502,plain,
% 13.90/9.65 (node2(s183, s184)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14501, 7, 14479])).
% 13.90/9.65 tff(14503,plain,
% 13.90/9.65 (((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14504,plain,
% 13.90/9.65 ((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14505,plain,
% 13.90/9.65 ((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14504, 14503])).
% 13.90/9.65 tff(14506,plain,
% 13.90/9.65 ((~m_main_v_state(s183, c_ready)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14505, 73, 14502])).
% 13.90/9.65 tff(14507,plain,
% 13.90/9.65 (~m_main_v_state(s183, c_ready)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14506, 14498, 14491])).
% 13.90/9.65 tff(14508,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s183)) | (~m_main_v_state(s183, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14509,plain,
% 13.90/9.65 (((~m_main_v_state(s183, c_busy)) | (~always3(s183))) <=> ((~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14510,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s183)) | (~m_main_v_state(s183, c_busy))))),
% 13.90/9.65 inference(monotonicity,[status(thm)],[14509])).
% 13.90/9.65 tff(14511,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 13.90/9.65 inference(transitivity,[status(thm)],[14510, 14508])).
% 13.90/9.65 tff(14512,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14513,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 13.90/9.65 tff(14514,plain,
% 13.90/9.65 (~m_main_v_state(s183, c_busy)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14513, 85, 14472])).
% 13.90/9.65 tff(14515,plain,
% 13.90/9.65 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14516,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14517,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14516, 14515])).
% 13.90/9.65 tff(14518,plain,
% 13.90/9.65 ($false),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14517, 102, 14514, 14507])).
% 13.90/9.65 tff(14519,plain,(xuntil6(s183) | (~until5(s183))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.65 tff(14520,plain,
% 13.90/9.65 (~until5(s183)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14519, 14139])).
% 13.90/9.65 tff(14521,plain,
% 13.90/9.65 (~xuntil6(s182)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14172, 14520])).
% 13.90/9.65 tff(14522,assumption,(~xuntil6(s182)), introduced(assumption)).
% 13.90/9.65 tff(14523,assumption,(~always3(s182)), introduced(assumption)).
% 13.90/9.65 tff(14524,plain,
% 13.90/9.65 (~always3(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14196, 14523])).
% 13.90/9.65 tff(14525,plain,
% 13.90/9.65 (~always3(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14225, 14524])).
% 13.90/9.65 tff(14526,plain,
% 13.90/9.65 (~always3(s179)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14254, 14525])).
% 13.90/9.65 tff(14527,plain,
% 13.90/9.65 (~node4(s179)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14258, 36, 14526])).
% 13.90/9.65 tff(14528,plain,
% 13.90/9.65 (~always3(s178)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14283, 14526])).
% 13.90/9.65 tff(14529,plain,
% 13.90/9.65 (~node4(s178)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14287, 36, 14528])).
% 13.90/9.65 tff(14530,plain,
% 13.90/9.65 (xuntil6(s178) | node4(s178)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14294, 294, 14138])).
% 13.90/9.65 tff(14531,plain,
% 13.90/9.65 (xuntil6(s178)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14530, 14529])).
% 13.90/9.65 tff(14532,plain,
% 13.90/9.65 (until5(s179)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14274, 14531])).
% 13.90/9.65 tff(14533,plain,
% 13.90/9.65 (xuntil6(s179)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14265, 294, 14532, 14527])).
% 13.90/9.65 tff(14534,plain,
% 13.90/9.65 (until5(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14245, 14533])).
% 13.90/9.65 tff(14535,plain,
% 13.90/9.65 (~node4(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14229, 36, 14525])).
% 13.90/9.65 tff(14536,plain,
% 13.90/9.65 (xuntil6(s180) | (~until5(s180))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14236, 294, 14535])).
% 13.90/9.65 tff(14537,plain,
% 13.90/9.65 (xuntil6(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14536, 14534])).
% 13.90/9.65 tff(14538,plain,
% 13.90/9.65 (until5(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14216, 14537])).
% 13.90/9.65 tff(14539,plain,
% 13.90/9.65 (~node4(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14200, 36, 14524])).
% 13.90/9.65 tff(14540,plain,
% 13.90/9.65 (xuntil6(s181) | (~until5(s181))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14207, 294, 14539])).
% 13.90/9.65 tff(14541,plain,
% 13.90/9.65 (xuntil6(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14540, 14538])).
% 13.90/9.65 tff(14542,plain,
% 13.90/9.65 (until5(s182)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14187, 14541])).
% 13.90/9.65 tff(14543,plain,
% 13.90/9.65 (node4(s182) | (~until5(s182))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14179, 294, 14522])).
% 13.90/9.65 tff(14544,plain,
% 13.90/9.65 (node4(s182)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14543, 14542])).
% 13.90/9.65 tff(14545,plain,
% 13.90/9.65 ($false),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14155, 36, 14523, 14544])).
% 13.90/9.65 tff(14546,plain,(always3(s182) | xuntil6(s182) | (~until5(s178))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.65 tff(14547,plain,
% 13.90/9.65 (always3(s182)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14546, 14138, 14522])).
% 13.90/9.65 tff(14548,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s182)) | (~m_main_v_state(s182, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s182)) | (~m_main_v_state(s182, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14549,plain,
% 13.90/9.65 (((~m_main_v_state(s182, c_busy)) | (~always3(s182))) <=> ((~always3(s182)) | (~m_main_v_state(s182, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14550,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s182, c_busy)) | (~always3(s182)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s182)) | (~m_main_v_state(s182, c_busy))))),
% 13.90/9.65 inference(monotonicity,[status(thm)],[14549])).
% 13.90/9.65 tff(14551,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s182, c_busy)) | (~always3(s182)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s182)) | (~m_main_v_state(s182, c_busy)))),
% 13.90/9.65 inference(transitivity,[status(thm)],[14550, 14548])).
% 13.90/9.65 tff(14552,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s182, c_busy)) | (~always3(s182)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14553,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s182)) | (~m_main_v_state(s182, c_busy))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14552, 14551])).
% 13.90/9.65 tff(14554,plain,
% 13.90/9.65 (~m_main_v_state(s182, c_busy)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14553, 85, 14547])).
% 13.90/9.65 tff(14555,assumption,(~m_main_v_state(s183, c_busy)), introduced(assumption)).
% 13.90/9.65 tff(14556,plain,
% 13.90/9.65 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14557,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14558,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14557, 14556])).
% 13.90/9.65 tff(14559,plain,
% 13.90/9.65 (m_main_v_state(s182, c_ready)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14558, 102, 14554])).
% 13.90/9.65 tff(14560,plain,
% 13.90/9.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s182, s183)) | node2(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s182, s183)) | node2(s182, s183))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14561,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s182, s183)) | node2(s182, s183))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14562,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s182, s183)) | node2(s182, s183)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14561, 14560])).
% 13.90/9.65 tff(14563,plain,
% 13.90/9.65 (node2(s182, s183)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14562, 7, 14147])).
% 13.90/9.65 tff(14564,plain,
% 13.90/9.65 (((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14565,plain,
% 13.90/9.65 ((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14566,plain,
% 13.90/9.65 ((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14565, 14564])).
% 13.90/9.65 tff(14567,plain,
% 13.90/9.65 ((~m_main_v_state(s182, c_ready)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14566, 73, 14563])).
% 13.90/9.65 tff(14568,plain,
% 13.90/9.65 (~m_main_v_request(s182)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14567, 14559, 14555])).
% 13.90/9.65 tff(14569,plain,
% 13.90/9.65 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s182) | (~node4(s182)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s182) | (~node4(s182)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14570,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s182) | (~node4(s182)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14571,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s182) | (~node4(s182))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14570, 14569])).
% 13.90/9.65 tff(14572,plain,
% 13.90/9.65 (~node4(s182)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14571, 21, 14568])).
% 13.90/9.65 tff(14573,plain,
% 13.90/9.65 (~until5(s182)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14543, 14572])).
% 13.90/9.65 tff(14574,plain,
% 13.90/9.65 (~xuntil6(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14187, 14573])).
% 13.90/9.65 tff(14575,assumption,(~xuntil6(s181)), introduced(assumption)).
% 13.90/9.65 tff(14576,assumption,(until5(s180)), introduced(assumption)).
% 13.90/9.65 tff(14577,assumption,(~always3(s181)), introduced(assumption)).
% 13.90/9.65 tff(14578,plain,
% 13.90/9.65 (~always3(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14225, 14577])).
% 13.90/9.65 tff(14579,plain,
% 13.90/9.65 (~node4(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14229, 36, 14578])).
% 13.90/9.65 tff(14580,plain,
% 13.90/9.65 (xuntil6(s180) | node4(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14236, 294, 14576])).
% 13.90/9.65 tff(14581,plain,
% 13.90/9.65 (xuntil6(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14580, 14579])).
% 13.90/9.65 tff(14582,plain,
% 13.90/9.65 (until5(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14216, 14581])).
% 13.90/9.65 tff(14583,plain,
% 13.90/9.65 (node4(s181) | (~until5(s181))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14207, 294, 14575])).
% 13.90/9.65 tff(14584,plain,
% 13.90/9.65 (node4(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14583, 14582])).
% 13.90/9.65 tff(14585,plain,
% 13.90/9.65 ($false),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14200, 36, 14577, 14584])).
% 13.90/9.65 tff(14586,plain,(always3(s181) | xuntil6(s181) | (~until5(s180))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.65 tff(14587,plain,
% 13.90/9.65 (always3(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14586, 14576, 14575])).
% 13.90/9.65 tff(14588,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s181)) | (~m_main_v_state(s181, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s181)) | (~m_main_v_state(s181, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14589,plain,
% 13.90/9.65 (((~m_main_v_state(s181, c_busy)) | (~always3(s181))) <=> ((~always3(s181)) | (~m_main_v_state(s181, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14590,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s181, c_busy)) | (~always3(s181)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s181)) | (~m_main_v_state(s181, c_busy))))),
% 13.90/9.65 inference(monotonicity,[status(thm)],[14589])).
% 13.90/9.65 tff(14591,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s181, c_busy)) | (~always3(s181)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s181)) | (~m_main_v_state(s181, c_busy)))),
% 13.90/9.65 inference(transitivity,[status(thm)],[14590, 14588])).
% 13.90/9.65 tff(14592,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s181, c_busy)) | (~always3(s181)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14593,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s181)) | (~m_main_v_state(s181, c_busy))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14592, 14591])).
% 13.90/9.65 tff(14594,plain,
% 13.90/9.65 (~m_main_v_state(s181, c_busy)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14593, 85, 14587])).
% 13.90/9.65 tff(14595,assumption,(~m_main_v_state(s182, c_busy)), introduced(assumption)).
% 13.90/9.65 tff(14596,plain,
% 13.90/9.65 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14597,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14598,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14597, 14596])).
% 13.90/9.65 tff(14599,plain,
% 13.90/9.65 (m_main_v_state(s181, c_ready)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14598, 102, 14594])).
% 13.90/9.65 tff(14600,plain,
% 13.90/9.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s181, s182)) | node2(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s181, s182)) | node2(s181, s182))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14601,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s181, s182)) | node2(s181, s182))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14602,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s181, s182)) | node2(s181, s182)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14601, 14600])).
% 13.90/9.65 tff(14603,plain,
% 13.90/9.65 (node2(s181, s182)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14602, 7, 14192])).
% 13.90/9.65 tff(14604,plain,
% 13.90/9.65 (((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14605,plain,
% 13.90/9.65 ((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14606,plain,
% 13.90/9.65 ((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14605, 14604])).
% 13.90/9.65 tff(14607,plain,
% 13.90/9.65 ((~m_main_v_state(s181, c_ready)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14606, 73, 14603])).
% 13.90/9.65 tff(14608,plain,
% 13.90/9.65 (~m_main_v_request(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14607, 14599, 14595])).
% 13.90/9.65 tff(14609,plain,
% 13.90/9.65 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s181) | (~node4(s181)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s181) | (~node4(s181)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14610,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s181) | (~node4(s181)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14611,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s181) | (~node4(s181))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14610, 14609])).
% 13.90/9.65 tff(14612,plain,
% 13.90/9.65 (~node4(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14611, 21, 14608])).
% 13.90/9.65 tff(14613,plain,
% 13.90/9.65 (~until5(s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14583, 14612])).
% 13.90/9.65 tff(14614,plain,
% 13.90/9.65 (~xuntil6(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14216, 14613])).
% 13.90/9.65 tff(14615,plain,
% 13.90/9.65 (node4(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14580, 14614])).
% 13.90/9.65 tff(14616,plain,
% 13.90/9.65 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s180) | (~node4(s180)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s180) | (~node4(s180)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14617,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s180) | (~node4(s180)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14618,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s180) | (~node4(s180))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14617, 14616])).
% 13.90/9.65 tff(14619,plain,
% 13.90/9.65 (m_main_v_request(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14618, 21, 14615])).
% 13.90/9.65 tff(14620,plain,
% 13.90/9.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s180, s181)) | node2(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s180, s181)) | node2(s180, s181))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14621,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s180, s181)) | node2(s180, s181))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14622,plain,
% 13.90/9.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s180, s181)) | node2(s180, s181)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14621, 14620])).
% 13.90/9.65 tff(14623,plain,
% 13.90/9.65 (node2(s180, s181)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14622, 7, 14221])).
% 13.90/9.65 tff(14624,plain,
% 13.90/9.65 (((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14625,plain,
% 13.90/9.65 ((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14626,plain,
% 13.90/9.65 ((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14625, 14624])).
% 13.90/9.65 tff(14627,plain,
% 13.90/9.65 ((~m_main_v_state(s180, c_ready)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14626, 73, 14623])).
% 13.90/9.65 tff(14628,plain,
% 13.90/9.65 (~m_main_v_state(s180, c_ready)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14627, 14619, 14594])).
% 13.90/9.65 tff(14629,plain,
% 13.90/9.65 (always3(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14229, 36, 14615])).
% 13.90/9.65 tff(14630,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s180)) | (~m_main_v_state(s180, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s180)) | (~m_main_v_state(s180, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14631,plain,
% 13.90/9.65 (((~m_main_v_state(s180, c_busy)) | (~always3(s180))) <=> ((~always3(s180)) | (~m_main_v_state(s180, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14632,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s180, c_busy)) | (~always3(s180)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s180)) | (~m_main_v_state(s180, c_busy))))),
% 13.90/9.65 inference(monotonicity,[status(thm)],[14631])).
% 13.90/9.65 tff(14633,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s180, c_busy)) | (~always3(s180)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s180)) | (~m_main_v_state(s180, c_busy)))),
% 13.90/9.65 inference(transitivity,[status(thm)],[14632, 14630])).
% 13.90/9.65 tff(14634,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s180, c_busy)) | (~always3(s180)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14635,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s180)) | (~m_main_v_state(s180, c_busy))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14634, 14633])).
% 13.90/9.65 tff(14636,plain,
% 13.90/9.65 (~m_main_v_state(s180, c_busy)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14635, 85, 14629])).
% 13.90/9.65 tff(14637,plain,
% 13.90/9.65 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14638,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14639,plain,
% 13.90/9.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready)),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 13.90/9.65 tff(14640,plain,
% 13.90/9.65 ($false),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14639, 102, 14636, 14628])).
% 13.90/9.65 tff(14641,plain,((~until5(s180)) | xuntil6(s181) | m_main_v_state(s182, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.65 tff(14642,plain,
% 13.90/9.65 (~until5(s180)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14641, 14574, 14554])).
% 13.90/9.65 tff(14643,plain,
% 13.90/9.65 (~xuntil6(s179)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14245, 14642])).
% 13.90/9.65 tff(14644,assumption,(~always3(s179)), introduced(assumption)).
% 13.90/9.65 tff(14645,plain,
% 13.90/9.65 (~node4(s179)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14258, 36, 14644])).
% 13.90/9.65 tff(14646,assumption,(~xuntil6(s179)), introduced(assumption)).
% 13.90/9.65 tff(14647,plain,
% 13.90/9.65 (node4(s179) | (~until5(s179))),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14265, 294, 14646])).
% 13.90/9.65 tff(14648,plain,
% 13.90/9.65 (~until5(s179)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14647, 14645])).
% 13.90/9.65 tff(14649,plain,
% 13.90/9.65 (~always3(s178)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14283, 14644])).
% 13.90/9.65 tff(14650,plain,
% 13.90/9.65 (~node4(s178)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14287, 36, 14649])).
% 13.90/9.65 tff(14651,plain,
% 13.90/9.65 (xuntil6(s178)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14530, 14650])).
% 13.90/9.65 tff(14652,plain,
% 13.90/9.65 ($false),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14274, 14651, 14648])).
% 13.90/9.65 tff(14653,plain,(always3(s179) | (~until5(s178)) | xuntil6(s179)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.65 tff(14654,plain,
% 13.90/9.65 (always3(s179)),
% 13.90/9.65 inference(unit_resolution,[status(thm)],[14653, 14138, 14643])).
% 13.90/9.65 tff(14655,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s179)) | (~m_main_v_state(s179, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s179)) | (~m_main_v_state(s179, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14656,plain,
% 13.90/9.65 (((~m_main_v_state(s179, c_busy)) | (~always3(s179))) <=> ((~always3(s179)) | (~m_main_v_state(s179, c_busy)))),
% 13.90/9.65 inference(rewrite,[status(thm)],[])).
% 13.90/9.65 tff(14657,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s179, c_busy)) | (~always3(s179)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s179)) | (~m_main_v_state(s179, c_busy))))),
% 13.90/9.65 inference(monotonicity,[status(thm)],[14656])).
% 13.90/9.65 tff(14658,plain,
% 13.90/9.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s179, c_busy)) | (~always3(s179)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s179)) | (~m_main_v_state(s179, c_busy)))),
% 13.90/9.65 inference(transitivity,[status(thm)],[14657, 14655])).
% 13.90/9.65 tff(14659,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s179, c_busy)) | (~always3(s179)))),
% 13.90/9.65 inference(quant_inst,[status(thm)],[])).
% 13.90/9.65 tff(14660,plain,
% 13.90/9.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s179)) | (~m_main_v_state(s179, c_busy))),
% 13.90/9.65 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 13.90/9.65 tff(14661,plain,
% 13.90/9.66 (~m_main_v_state(s179, c_busy)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14660, 85, 14654])).
% 13.90/9.66 tff(14662,plain,
% 13.90/9.66 (always3(s180)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14254, 14654])).
% 13.90/9.66 tff(14663,plain,
% 13.90/9.66 (~m_main_v_state(s180, c_busy)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14635, 85, 14662])).
% 13.90/9.66 tff(14664,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14665,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14666,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14665, 14664])).
% 13.90/9.66 tff(14667,plain,
% 13.90/9.66 (m_main_v_state(s179, c_ready)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14666, 102, 14661])).
% 13.90/9.66 tff(14668,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s179, s180)) | node2(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s179, s180)) | node2(s179, s180))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14669,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s179, s180)) | node2(s179, s180))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14670,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s179, s180)) | node2(s179, s180)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14669, 14668])).
% 13.90/9.66 tff(14671,plain,
% 13.90/9.66 (node2(s179, s180)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14670, 7, 14250])).
% 13.90/9.66 tff(14672,plain,
% 13.90/9.66 (((~![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(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14673,plain,
% 13.90/9.66 ((~![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(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14674,plain,
% 13.90/9.66 ((~![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(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 13.90/9.66 tff(14675,plain,
% 13.90/9.66 ((~m_main_v_state(s179, c_ready)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179))),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14674, 73, 14671])).
% 13.90/9.66 tff(14676,plain,
% 13.90/9.66 (~m_main_v_request(s179)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14675, 14667, 14663])).
% 13.90/9.66 tff(14677,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s179) | (~node4(s179)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s179) | (~node4(s179)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14678,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s179) | (~node4(s179)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14679,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s179) | (~node4(s179))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14678, 14677])).
% 13.90/9.66 tff(14680,plain,
% 13.90/9.66 (~node4(s179)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14679, 21, 14676])).
% 13.90/9.66 tff(14681,plain,
% 13.90/9.66 (node4(s179) | (~until5(s179))),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14265, 294, 14643])).
% 13.90/9.66 tff(14682,plain,
% 13.90/9.66 (~until5(s179)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14681, 14680])).
% 13.90/9.66 tff(14683,plain,
% 13.90/9.66 (~xuntil6(s178)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14274, 14682])).
% 13.90/9.66 tff(14684,plain,
% 13.90/9.66 (node4(s178)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14530, 14683])).
% 13.90/9.66 tff(14685,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s178) | (~node4(s178)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s178) | (~node4(s178)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14686,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s178) | (~node4(s178)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14687,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s178) | (~node4(s178))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14686, 14685])).
% 13.90/9.66 tff(14688,plain,
% 13.90/9.66 (m_main_v_request(s178)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14687, 21, 14684])).
% 13.90/9.66 tff(14689,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s178, s179)) | node2(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s178, s179)) | node2(s178, s179))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14690,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s178, s179)) | node2(s178, s179))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14691,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s178, s179)) | node2(s178, s179)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14690, 14689])).
% 13.90/9.66 tff(14692,plain,
% 13.90/9.66 (node2(s178, s179)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14691, 7, 14279])).
% 13.90/9.66 tff(14693,plain,
% 13.90/9.66 (((~![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(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14694,plain,
% 13.90/9.66 ((~![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(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14695,plain,
% 13.90/9.66 ((~![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(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14694, 14693])).
% 13.90/9.66 tff(14696,plain,
% 13.90/9.66 ((~m_main_v_state(s178, c_ready)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178))),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14695, 73, 14692])).
% 13.90/9.66 tff(14697,plain,
% 13.90/9.66 (~m_main_v_state(s178, c_ready)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14696, 14688, 14661])).
% 13.90/9.66 tff(14698,plain,
% 13.90/9.66 (always3(s178)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14287, 36, 14684])).
% 13.90/9.66 tff(14699,plain,
% 13.90/9.66 (~m_main_v_state(s178, c_busy)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14041, 85, 14698])).
% 13.90/9.66 tff(14700,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14701,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14702,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14701, 14700])).
% 13.90/9.66 tff(14703,plain,
% 13.90/9.66 ($false),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14702, 102, 14699, 14697])).
% 13.90/9.66 tff(14704,plain,((~until5(s178)) | xuntil6(s182) | m_main_v_state(s183, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.66 tff(14705,plain,
% 13.90/9.66 (m_main_v_state(s183, c_busy)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14704, 14521, 14138])).
% 13.90/9.66 tff(14706,plain,
% 13.90/9.66 ($false),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14513, 85, 14472, 14705])).
% 13.90/9.66 tff(14707,plain,(xuntil6(s183) | (~until5(s178))), inference(lemma,lemma(discharge,[]))).
% 13.90/9.66 tff(14708,plain,
% 13.90/9.66 (xuntil6(s183)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14707, 14137])).
% 13.90/9.66 tff(14709,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14710,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14711,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 13.90/9.66 tff(14712,plain,
% 13.90/9.66 ((~xuntil6(s183)) | until5(s184)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14711, 14475, 312])).
% 13.90/9.66 tff(14713,plain,
% 13.90/9.66 (until5(s184)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14712, 14708])).
% 13.90/9.66 tff(14714,assumption,(~xuntil6(s220)), introduced(assumption)).
% 13.90/9.66 tff(14715,assumption,(node4(s196)), introduced(assumption)).
% 13.90/9.66 tff(14716,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s196) | (~node4(s196)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s196) | (~node4(s196)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14717,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s196) | (~node4(s196)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14718,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s196) | (~node4(s196))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14717, 14716])).
% 13.90/9.66 tff(14719,plain,
% 13.90/9.66 (m_main_v_request(s196)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14718, 21, 14715])).
% 13.90/9.66 tff(14720,plain,
% 13.90/9.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14721,plain,
% 13.90/9.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14722,plain,
% 13.90/9.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14721, 14720])).
% 13.90/9.66 tff(14723,plain,
% 13.90/9.66 (always3(s196)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14722, 36, 14715])).
% 13.90/9.66 tff(14724,plain,
% 13.90/9.66 (succ(s196, s197) <=> succ(s196, s197)),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14725,axiom,(succ(s196, s197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound197')).
% 13.90/9.66 tff(14726,plain,
% 13.90/9.66 (succ(s196, s197)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14725, 14724])).
% 13.90/9.66 tff(14727,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14728,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14729,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14728, 14727])).
% 13.90/9.66 tff(14730,plain,
% 13.90/9.66 (trans(s196, s197)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14729, 14726, 52])).
% 13.90/9.66 tff(14731,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s196, s197)) | (~always3(s196)) | always3(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s196, s197)) | (~always3(s196)) | always3(s197))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14732,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s196, s197)) | (~always3(s196)) | always3(s197))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14733,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s196, s197)) | (~always3(s196)) | always3(s197)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14732, 14731])).
% 13.90/9.66 tff(14734,plain,
% 13.90/9.66 ((~always3(s196)) | always3(s197)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14733, 125, 14730])).
% 13.90/9.66 tff(14735,plain,
% 13.90/9.66 (always3(s197)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14734, 14723])).
% 13.90/9.66 tff(14736,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s197)) | (~m_main_v_state(s197, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s197)) | (~m_main_v_state(s197, c_busy)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14737,plain,
% 13.90/9.66 (((~m_main_v_state(s197, c_busy)) | (~always3(s197))) <=> ((~always3(s197)) | (~m_main_v_state(s197, c_busy)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14738,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s197, c_busy)) | (~always3(s197)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s197)) | (~m_main_v_state(s197, c_busy))))),
% 13.90/9.66 inference(monotonicity,[status(thm)],[14737])).
% 13.90/9.66 tff(14739,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s197, c_busy)) | (~always3(s197)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s197)) | (~m_main_v_state(s197, c_busy)))),
% 13.90/9.66 inference(transitivity,[status(thm)],[14738, 14736])).
% 13.90/9.66 tff(14740,plain,
% 13.90/9.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s197, c_busy)) | (~always3(s197)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14741,plain,
% 13.90/9.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s197)) | (~m_main_v_state(s197, c_busy))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14740, 14739])).
% 13.90/9.66 tff(14742,plain,
% 13.90/9.66 (~m_main_v_state(s197, c_busy)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14741, 85, 14735])).
% 13.90/9.66 tff(14743,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s196, s197)) | node2(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s196, s197)) | node2(s196, s197))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14744,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s196, s197)) | node2(s196, s197))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14745,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s196, s197)) | node2(s196, s197)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 13.90/9.66 tff(14746,plain,
% 13.90/9.66 (node2(s196, s197)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14745, 7, 14730])).
% 13.90/9.66 tff(14747,plain,
% 13.90/9.66 (((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14748,plain,
% 13.90/9.66 ((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14749,plain,
% 13.90/9.66 ((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14748, 14747])).
% 13.90/9.66 tff(14750,plain,
% 13.90/9.66 ((~m_main_v_state(s196, c_ready)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196))),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14749, 73, 14746])).
% 13.90/9.66 tff(14751,plain,
% 13.90/9.66 (~m_main_v_state(s196, c_ready)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14750, 14742, 14719])).
% 13.90/9.66 tff(14752,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s196)) | (~m_main_v_state(s196, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s196)) | (~m_main_v_state(s196, c_busy)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14753,plain,
% 13.90/9.66 (((~m_main_v_state(s196, c_busy)) | (~always3(s196))) <=> ((~always3(s196)) | (~m_main_v_state(s196, c_busy)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14754,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s196, c_busy)) | (~always3(s196)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s196)) | (~m_main_v_state(s196, c_busy))))),
% 13.90/9.66 inference(monotonicity,[status(thm)],[14753])).
% 13.90/9.66 tff(14755,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s196, c_busy)) | (~always3(s196)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s196)) | (~m_main_v_state(s196, c_busy)))),
% 13.90/9.66 inference(transitivity,[status(thm)],[14754, 14752])).
% 13.90/9.66 tff(14756,plain,
% 13.90/9.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s196, c_busy)) | (~always3(s196)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14757,plain,
% 13.90/9.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s196)) | (~m_main_v_state(s196, c_busy))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14756, 14755])).
% 13.90/9.66 tff(14758,plain,
% 13.90/9.66 (~m_main_v_state(s196, c_busy)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14757, 85, 14723])).
% 13.90/9.66 tff(14759,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14760,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14761,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 13.90/9.66 tff(14762,plain,
% 13.90/9.66 ($false),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14761, 102, 14758, 14751])).
% 13.90/9.66 tff(14763,plain,(~node4(s196)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.66 tff(14764,assumption,(node4(s194)), introduced(assumption)).
% 13.90/9.66 tff(14765,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s194) | (~node4(s194)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s194) | (~node4(s194)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14766,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s194) | (~node4(s194)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14767,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s194) | (~node4(s194))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14766, 14765])).
% 13.90/9.66 tff(14768,plain,
% 13.90/9.66 (m_main_v_request(s194)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14767, 21, 14764])).
% 13.90/9.66 tff(14769,plain,
% 13.90/9.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14770,plain,
% 13.90/9.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14771,plain,
% 13.90/9.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14770, 14769])).
% 13.90/9.66 tff(14772,plain,
% 13.90/9.66 (always3(s194)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14771, 36, 14764])).
% 13.90/9.66 tff(14773,plain,
% 13.90/9.66 (succ(s194, s195) <=> succ(s194, s195)),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14774,axiom,(succ(s194, s195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound195')).
% 13.90/9.66 tff(14775,plain,
% 13.90/9.66 (succ(s194, s195)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14774, 14773])).
% 13.90/9.66 tff(14776,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14777,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14778,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14777, 14776])).
% 13.90/9.66 tff(14779,plain,
% 13.90/9.66 (trans(s194, s195)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14778, 14775, 52])).
% 13.90/9.66 tff(14780,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s194, s195)) | (~always3(s194)) | always3(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s194, s195)) | (~always3(s194)) | always3(s195))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14781,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s194, s195)) | (~always3(s194)) | always3(s195))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14782,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s194, s195)) | (~always3(s194)) | always3(s195)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14781, 14780])).
% 13.90/9.66 tff(14783,plain,
% 13.90/9.66 ((~always3(s194)) | always3(s195)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14782, 125, 14779])).
% 13.90/9.66 tff(14784,plain,
% 13.90/9.66 (always3(s195)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14783, 14772])).
% 13.90/9.66 tff(14785,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s195)) | (~m_main_v_state(s195, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s195)) | (~m_main_v_state(s195, c_busy)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14786,plain,
% 13.90/9.66 (((~m_main_v_state(s195, c_busy)) | (~always3(s195))) <=> ((~always3(s195)) | (~m_main_v_state(s195, c_busy)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14787,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s195, c_busy)) | (~always3(s195)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s195)) | (~m_main_v_state(s195, c_busy))))),
% 13.90/9.66 inference(monotonicity,[status(thm)],[14786])).
% 13.90/9.66 tff(14788,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s195, c_busy)) | (~always3(s195)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s195)) | (~m_main_v_state(s195, c_busy)))),
% 13.90/9.66 inference(transitivity,[status(thm)],[14787, 14785])).
% 13.90/9.66 tff(14789,plain,
% 13.90/9.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s195, c_busy)) | (~always3(s195)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14790,plain,
% 13.90/9.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s195)) | (~m_main_v_state(s195, c_busy))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14789, 14788])).
% 13.90/9.66 tff(14791,plain,
% 13.90/9.66 (~m_main_v_state(s195, c_busy)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14790, 85, 14784])).
% 13.90/9.66 tff(14792,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s194, s195)) | node2(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s194, s195)) | node2(s194, s195))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14793,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s194, s195)) | node2(s194, s195))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14794,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s194, s195)) | node2(s194, s195)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14793, 14792])).
% 13.90/9.66 tff(14795,plain,
% 13.90/9.66 (node2(s194, s195)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14794, 7, 14779])).
% 13.90/9.66 tff(14796,plain,
% 13.90/9.66 (((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14797,plain,
% 13.90/9.66 ((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14798,plain,
% 13.90/9.66 ((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 13.90/9.66 tff(14799,plain,
% 13.90/9.66 ((~m_main_v_state(s194, c_ready)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194))),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14798, 73, 14795])).
% 13.90/9.66 tff(14800,plain,
% 13.90/9.66 (~m_main_v_state(s194, c_ready)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14799, 14791, 14768])).
% 13.90/9.66 tff(14801,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s194)) | (~m_main_v_state(s194, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s194)) | (~m_main_v_state(s194, c_busy)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14802,plain,
% 13.90/9.66 (((~m_main_v_state(s194, c_busy)) | (~always3(s194))) <=> ((~always3(s194)) | (~m_main_v_state(s194, c_busy)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14803,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s194, c_busy)) | (~always3(s194)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s194)) | (~m_main_v_state(s194, c_busy))))),
% 13.90/9.66 inference(monotonicity,[status(thm)],[14802])).
% 13.90/9.66 tff(14804,plain,
% 13.90/9.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s194, c_busy)) | (~always3(s194)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s194)) | (~m_main_v_state(s194, c_busy)))),
% 13.90/9.66 inference(transitivity,[status(thm)],[14803, 14801])).
% 13.90/9.66 tff(14805,plain,
% 13.90/9.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s194, c_busy)) | (~always3(s194)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14806,plain,
% 13.90/9.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s194)) | (~m_main_v_state(s194, c_busy))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 13.90/9.66 tff(14807,plain,
% 13.90/9.66 (~m_main_v_state(s194, c_busy)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14806, 85, 14772])).
% 13.90/9.66 tff(14808,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14809,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14810,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14809, 14808])).
% 13.90/9.66 tff(14811,plain,
% 13.90/9.66 ($false),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14810, 102, 14807, 14800])).
% 13.90/9.66 tff(14812,plain,(~node4(s194)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.66 tff(14813,assumption,(node4(s209)), introduced(assumption)).
% 13.90/9.66 tff(14814,plain,
% 13.90/9.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s209) | (~node4(s209)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s209) | (~node4(s209)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14815,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s209) | (~node4(s209)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14816,plain,
% 13.90/9.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s209) | (~node4(s209))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14815, 14814])).
% 13.90/9.66 tff(14817,plain,
% 13.90/9.66 (m_main_v_request(s209)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14816, 21, 14813])).
% 13.90/9.66 tff(14818,plain,
% 13.90/9.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s209) | (~node4(s209)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s209) | (~node4(s209)))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14819,plain,
% 13.90/9.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s209) | (~node4(s209)))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14820,plain,
% 13.90/9.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s209) | (~node4(s209))),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14819, 14818])).
% 13.90/9.66 tff(14821,plain,
% 13.90/9.66 (always3(s209)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14820, 36, 14813])).
% 13.90/9.66 tff(14822,plain,
% 13.90/9.66 (succ(s209, s210) <=> succ(s209, s210)),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14823,axiom,(succ(s209, s210)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound210')).
% 13.90/9.66 tff(14824,plain,
% 13.90/9.66 (succ(s209, s210)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14823, 14822])).
% 13.90/9.66 tff(14825,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14826,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14827,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 13.90/9.66 tff(14828,plain,
% 13.90/9.66 (trans(s209, s210)),
% 13.90/9.66 inference(unit_resolution,[status(thm)],[14827, 14824, 52])).
% 13.90/9.66 tff(14829,plain,
% 13.90/9.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s209, s210)) | (~always3(s209)) | always3(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s209, s210)) | (~always3(s209)) | always3(s210))),
% 13.90/9.66 inference(rewrite,[status(thm)],[])).
% 13.90/9.66 tff(14830,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s209, s210)) | (~always3(s209)) | always3(s210))),
% 13.90/9.66 inference(quant_inst,[status(thm)],[])).
% 13.90/9.66 tff(14831,plain,
% 13.90/9.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s209, s210)) | (~always3(s209)) | always3(s210)),
% 13.90/9.66 inference(modus_ponens,[status(thm)],[14830, 14829])).
% 13.90/9.67 tff(14832,plain,
% 13.90/9.67 ((~always3(s209)) | always3(s210)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14831, 125, 14828])).
% 13.90/9.67 tff(14833,plain,
% 13.90/9.67 (always3(s210)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14832, 14821])).
% 13.90/9.67 tff(14834,plain,
% 13.90/9.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s210)) | (~m_main_v_state(s210, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s210)) | (~m_main_v_state(s210, c_busy)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14835,plain,
% 13.90/9.67 (((~m_main_v_state(s210, c_busy)) | (~always3(s210))) <=> ((~always3(s210)) | (~m_main_v_state(s210, c_busy)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14836,plain,
% 13.90/9.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s210, c_busy)) | (~always3(s210)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s210)) | (~m_main_v_state(s210, c_busy))))),
% 13.90/9.67 inference(monotonicity,[status(thm)],[14835])).
% 13.90/9.67 tff(14837,plain,
% 13.90/9.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s210, c_busy)) | (~always3(s210)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s210)) | (~m_main_v_state(s210, c_busy)))),
% 13.90/9.67 inference(transitivity,[status(thm)],[14836, 14834])).
% 13.90/9.67 tff(14838,plain,
% 13.90/9.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s210, c_busy)) | (~always3(s210)))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14839,plain,
% 13.90/9.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s210)) | (~m_main_v_state(s210, c_busy))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 13.90/9.67 tff(14840,plain,
% 13.90/9.67 (~m_main_v_state(s210, c_busy)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14839, 85, 14833])).
% 13.90/9.67 tff(14841,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s209, s210)) | node2(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s209, s210)) | node2(s209, s210))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14842,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s209, s210)) | node2(s209, s210))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14843,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s209, s210)) | node2(s209, s210)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 13.90/9.67 tff(14844,plain,
% 13.90/9.67 (node2(s209, s210)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14843, 7, 14828])).
% 13.90/9.67 tff(14845,plain,
% 13.90/9.67 (((~![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(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14846,plain,
% 13.90/9.67 ((~![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(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209)))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14847,plain,
% 13.90/9.67 ((~![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(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14846, 14845])).
% 13.90/9.67 tff(14848,plain,
% 13.90/9.67 ((~m_main_v_state(s209, c_ready)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209))),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14847, 73, 14844])).
% 13.90/9.67 tff(14849,plain,
% 13.90/9.67 (~m_main_v_state(s209, c_ready)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14848, 14840, 14817])).
% 13.90/9.67 tff(14850,plain,
% 13.90/9.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s209)) | (~m_main_v_state(s209, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s209)) | (~m_main_v_state(s209, c_busy)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14851,plain,
% 13.90/9.67 (((~m_main_v_state(s209, c_busy)) | (~always3(s209))) <=> ((~always3(s209)) | (~m_main_v_state(s209, c_busy)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14852,plain,
% 13.90/9.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s209, c_busy)) | (~always3(s209)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s209)) | (~m_main_v_state(s209, c_busy))))),
% 13.90/9.67 inference(monotonicity,[status(thm)],[14851])).
% 13.90/9.67 tff(14853,plain,
% 13.90/9.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s209, c_busy)) | (~always3(s209)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s209)) | (~m_main_v_state(s209, c_busy)))),
% 13.90/9.67 inference(transitivity,[status(thm)],[14852, 14850])).
% 13.90/9.67 tff(14854,plain,
% 13.90/9.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s209, c_busy)) | (~always3(s209)))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14855,plain,
% 13.90/9.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s209)) | (~m_main_v_state(s209, c_busy))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14854, 14853])).
% 13.90/9.67 tff(14856,plain,
% 13.90/9.67 (~m_main_v_state(s209, c_busy)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14855, 85, 14821])).
% 13.90/9.67 tff(14857,plain,
% 13.90/9.67 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14858,plain,
% 13.90/9.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14859,plain,
% 13.90/9.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14858, 14857])).
% 13.90/9.67 tff(14860,plain,
% 13.90/9.67 ($false),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14859, 102, 14856, 14849])).
% 13.90/9.67 tff(14861,plain,(~node4(s209)), inference(lemma,lemma(discharge,[]))).
% 13.90/9.67 tff(14862,assumption,(until5(s184)), introduced(assumption)).
% 13.90/9.67 tff(14863,assumption,(~node4(s209)), introduced(assumption)).
% 13.90/9.67 tff(14864,assumption,(~always3(s220)), introduced(assumption)).
% 13.90/9.67 tff(14865,plain,
% 13.90/9.67 (succ(s219, s220) <=> succ(s219, s220)),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14866,axiom,(succ(s219, s220)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound220')).
% 13.90/9.67 tff(14867,plain,
% 13.90/9.67 (succ(s219, s220)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14866, 14865])).
% 13.90/9.67 tff(14868,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14869,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14870,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14869, 14868])).
% 13.90/9.67 tff(14871,plain,
% 13.90/9.67 (trans(s219, s220)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14870, 14867, 52])).
% 13.90/9.67 tff(14872,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s219, s220)) | (~always3(s219)) | always3(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s219, s220)) | (~always3(s219)) | always3(s220))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14873,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s219, s220)) | (~always3(s219)) | always3(s220))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14874,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s219, s220)) | (~always3(s219)) | always3(s220)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 13.90/9.67 tff(14875,plain,
% 13.90/9.67 ((~always3(s219)) | always3(s220)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14874, 125, 14871])).
% 13.90/9.67 tff(14876,plain,
% 13.90/9.67 (~always3(s219)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14875, 14864])).
% 13.90/9.67 tff(14877,plain,
% 13.90/9.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s219) | (~node4(s219)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s219) | (~node4(s219)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14878,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s219) | (~node4(s219)))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14879,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s219) | (~node4(s219))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14878, 14877])).
% 13.90/9.67 tff(14880,plain,
% 13.90/9.67 (~node4(s219)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14879, 36, 14876])).
% 13.90/9.67 tff(14881,plain,
% 13.90/9.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s220) | (~node4(s220)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s220) | (~node4(s220)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14882,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s220) | (~node4(s220)))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14883,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s220) | (~node4(s220))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14882, 14881])).
% 13.90/9.67 tff(14884,plain,
% 13.90/9.67 (~node4(s220)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14883, 36, 14864])).
% 13.90/9.67 tff(14885,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s220) | node4(s220) | (~until5(s220)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s220) | node4(s220) | (~until5(s220)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14886,plain,
% 13.90/9.67 ((node4(s220) | (~until5(s220)) | xuntil6(s220)) <=> (xuntil6(s220) | node4(s220) | (~until5(s220)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14887,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s220) | (~until5(s220)) | xuntil6(s220))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s220) | node4(s220) | (~until5(s220))))),
% 13.90/9.67 inference(monotonicity,[status(thm)],[14886])).
% 13.90/9.67 tff(14888,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s220) | (~until5(s220)) | xuntil6(s220))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s220) | node4(s220) | (~until5(s220)))),
% 13.90/9.67 inference(transitivity,[status(thm)],[14887, 14885])).
% 13.90/9.67 tff(14889,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s220) | (~until5(s220)) | xuntil6(s220))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14890,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s220) | node4(s220) | (~until5(s220))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14889, 14888])).
% 13.90/9.67 tff(14891,plain,
% 13.90/9.67 (node4(s220) | (~until5(s220))),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14890, 294, 14714])).
% 13.90/9.67 tff(14892,plain,
% 13.90/9.67 (~until5(s220)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14891, 14884])).
% 13.90/9.67 tff(14893,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14894,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14895,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 13.90/9.67 tff(14896,plain,
% 13.90/9.67 ((~xuntil6(s219)) | until5(s220)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14895, 14867, 312])).
% 13.90/9.67 tff(14897,plain,
% 13.90/9.67 (~xuntil6(s219)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14896, 14892])).
% 13.90/9.67 tff(14898,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s219) | node4(s219) | (~until5(s219)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s219) | node4(s219) | (~until5(s219)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14899,plain,
% 13.90/9.67 ((node4(s219) | (~until5(s219)) | xuntil6(s219)) <=> (xuntil6(s219) | node4(s219) | (~until5(s219)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14900,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s219) | (~until5(s219)) | xuntil6(s219))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s219) | node4(s219) | (~until5(s219))))),
% 13.90/9.67 inference(monotonicity,[status(thm)],[14899])).
% 13.90/9.67 tff(14901,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s219) | (~until5(s219)) | xuntil6(s219))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s219) | node4(s219) | (~until5(s219)))),
% 13.90/9.67 inference(transitivity,[status(thm)],[14900, 14898])).
% 13.90/9.67 tff(14902,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s219) | (~until5(s219)) | xuntil6(s219))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14903,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s219) | node4(s219) | (~until5(s219))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 13.90/9.67 tff(14904,plain,
% 13.90/9.67 (~until5(s219)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14903, 294, 14897, 14880])).
% 13.90/9.67 tff(14905,plain,
% 13.90/9.67 (succ(s218, s219) <=> succ(s218, s219)),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14906,axiom,(succ(s218, s219)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound219')).
% 13.90/9.67 tff(14907,plain,
% 13.90/9.67 (succ(s218, s219)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 13.90/9.67 tff(14908,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14909,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14910,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14909, 14908])).
% 13.90/9.67 tff(14911,plain,
% 13.90/9.67 ((~xuntil6(s218)) | until5(s219)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14910, 14907, 312])).
% 13.90/9.67 tff(14912,plain,
% 13.90/9.67 (~xuntil6(s218)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14911, 14904])).
% 13.90/9.67 tff(14913,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14914,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14915,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 13.90/9.67 tff(14916,plain,
% 13.90/9.67 (trans(s218, s219)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14915, 14907, 52])).
% 13.90/9.67 tff(14917,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s218, s219)) | (~always3(s218)) | always3(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s218, s219)) | (~always3(s218)) | always3(s219))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14918,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s218, s219)) | (~always3(s218)) | always3(s219))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14919,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s218, s219)) | (~always3(s218)) | always3(s219)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14918, 14917])).
% 13.90/9.67 tff(14920,plain,
% 13.90/9.67 ((~always3(s218)) | always3(s219)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14919, 125, 14916])).
% 13.90/9.67 tff(14921,plain,
% 13.90/9.67 (~always3(s218)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14920, 14876])).
% 13.90/9.67 tff(14922,plain,
% 13.90/9.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s218) | (~node4(s218)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s218) | (~node4(s218)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14923,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s218) | (~node4(s218)))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14924,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s218) | (~node4(s218))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14923, 14922])).
% 13.90/9.67 tff(14925,plain,
% 13.90/9.67 (~node4(s218)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14924, 36, 14921])).
% 13.90/9.67 tff(14926,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s218) | node4(s218) | (~until5(s218)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s218) | node4(s218) | (~until5(s218)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14927,plain,
% 13.90/9.67 ((node4(s218) | (~until5(s218)) | xuntil6(s218)) <=> (xuntil6(s218) | node4(s218) | (~until5(s218)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14928,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s218) | (~until5(s218)) | xuntil6(s218))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s218) | node4(s218) | (~until5(s218))))),
% 13.90/9.67 inference(monotonicity,[status(thm)],[14927])).
% 13.90/9.67 tff(14929,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s218) | (~until5(s218)) | xuntil6(s218))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s218) | node4(s218) | (~until5(s218)))),
% 13.90/9.67 inference(transitivity,[status(thm)],[14928, 14926])).
% 13.90/9.67 tff(14930,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s218) | (~until5(s218)) | xuntil6(s218))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14931,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s218) | node4(s218) | (~until5(s218))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 13.90/9.67 tff(14932,plain,
% 13.90/9.67 (xuntil6(s218) | (~until5(s218))),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14931, 294, 14925])).
% 13.90/9.67 tff(14933,plain,
% 13.90/9.67 (~until5(s218)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14932, 14912])).
% 13.90/9.67 tff(14934,plain,
% 13.90/9.67 (succ(s217, s218) <=> succ(s217, s218)),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14935,axiom,(succ(s217, s218)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound218')).
% 13.90/9.67 tff(14936,plain,
% 13.90/9.67 (succ(s217, s218)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14935, 14934])).
% 13.90/9.67 tff(14937,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14938,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14939,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14938, 14937])).
% 13.90/9.67 tff(14940,plain,
% 13.90/9.67 ((~xuntil6(s217)) | until5(s218)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14939, 14936, 312])).
% 13.90/9.67 tff(14941,plain,
% 13.90/9.67 (~xuntil6(s217)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14940, 14933])).
% 13.90/9.67 tff(14942,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14943,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14944,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 13.90/9.67 tff(14945,plain,
% 13.90/9.67 (trans(s217, s218)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14944, 14936, 52])).
% 13.90/9.67 tff(14946,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s217, s218)) | (~always3(s217)) | always3(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s217, s218)) | (~always3(s217)) | always3(s218))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14947,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s217, s218)) | (~always3(s217)) | always3(s218))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14948,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s217, s218)) | (~always3(s217)) | always3(s218)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14947, 14946])).
% 13.90/9.67 tff(14949,plain,
% 13.90/9.67 ((~always3(s217)) | always3(s218)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14948, 125, 14945])).
% 13.90/9.67 tff(14950,plain,
% 13.90/9.67 (~always3(s217)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14949, 14921])).
% 13.90/9.67 tff(14951,plain,
% 13.90/9.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s217) | (~node4(s217)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s217) | (~node4(s217)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14952,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s217) | (~node4(s217)))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14953,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s217) | (~node4(s217))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 13.90/9.67 tff(14954,plain,
% 13.90/9.67 (~node4(s217)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14953, 36, 14950])).
% 13.90/9.67 tff(14955,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s217) | node4(s217) | (~until5(s217)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s217) | node4(s217) | (~until5(s217)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14956,plain,
% 13.90/9.67 ((node4(s217) | (~until5(s217)) | xuntil6(s217)) <=> (xuntil6(s217) | node4(s217) | (~until5(s217)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14957,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s217) | (~until5(s217)) | xuntil6(s217))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s217) | node4(s217) | (~until5(s217))))),
% 13.90/9.67 inference(monotonicity,[status(thm)],[14956])).
% 13.90/9.67 tff(14958,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s217) | (~until5(s217)) | xuntil6(s217))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s217) | node4(s217) | (~until5(s217)))),
% 13.90/9.67 inference(transitivity,[status(thm)],[14957, 14955])).
% 13.90/9.67 tff(14959,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s217) | (~until5(s217)) | xuntil6(s217))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14960,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s217) | node4(s217) | (~until5(s217))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14959, 14958])).
% 13.90/9.67 tff(14961,plain,
% 13.90/9.67 (xuntil6(s217) | (~until5(s217))),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14960, 294, 14954])).
% 13.90/9.67 tff(14962,plain,
% 13.90/9.67 (~until5(s217)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14961, 14941])).
% 13.90/9.67 tff(14963,plain,
% 13.90/9.67 (succ(s216, s217) <=> succ(s216, s217)),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14964,axiom,(succ(s216, s217)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound217')).
% 13.90/9.67 tff(14965,plain,
% 13.90/9.67 (succ(s216, s217)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14964, 14963])).
% 13.90/9.67 tff(14966,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14967,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14968,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14967, 14966])).
% 13.90/9.67 tff(14969,plain,
% 13.90/9.67 ((~xuntil6(s216)) | until5(s217)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14968, 14965, 312])).
% 13.90/9.67 tff(14970,plain,
% 13.90/9.67 (~xuntil6(s216)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14969, 14962])).
% 13.90/9.67 tff(14971,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14972,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14973,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14972, 14971])).
% 13.90/9.67 tff(14974,plain,
% 13.90/9.67 (trans(s216, s217)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14973, 14965, 52])).
% 13.90/9.67 tff(14975,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s216, s217)) | (~always3(s216)) | always3(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s216, s217)) | (~always3(s216)) | always3(s217))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14976,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s216, s217)) | (~always3(s216)) | always3(s217))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14977,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s216, s217)) | (~always3(s216)) | always3(s217)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14976, 14975])).
% 13.90/9.67 tff(14978,plain,
% 13.90/9.67 ((~always3(s216)) | always3(s217)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14977, 125, 14974])).
% 13.90/9.67 tff(14979,plain,
% 13.90/9.67 (~always3(s216)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14978, 14950])).
% 13.90/9.67 tff(14980,plain,
% 13.90/9.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s216) | (~node4(s216)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s216) | (~node4(s216)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14981,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s216) | (~node4(s216)))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14982,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s216) | (~node4(s216))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14981, 14980])).
% 13.90/9.67 tff(14983,plain,
% 13.90/9.67 (~node4(s216)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14982, 36, 14979])).
% 13.90/9.67 tff(14984,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s216) | node4(s216) | (~until5(s216)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s216) | node4(s216) | (~until5(s216)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14985,plain,
% 13.90/9.67 ((node4(s216) | (~until5(s216)) | xuntil6(s216)) <=> (xuntil6(s216) | node4(s216) | (~until5(s216)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14986,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s216) | (~until5(s216)) | xuntil6(s216))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s216) | node4(s216) | (~until5(s216))))),
% 13.90/9.67 inference(monotonicity,[status(thm)],[14985])).
% 13.90/9.67 tff(14987,plain,
% 13.90/9.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s216) | (~until5(s216)) | xuntil6(s216))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s216) | node4(s216) | (~until5(s216)))),
% 13.90/9.67 inference(transitivity,[status(thm)],[14986, 14984])).
% 13.90/9.67 tff(14988,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s216) | (~until5(s216)) | xuntil6(s216))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14989,plain,
% 13.90/9.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s216) | node4(s216) | (~until5(s216))),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14988, 14987])).
% 13.90/9.67 tff(14990,plain,
% 13.90/9.67 (xuntil6(s216) | (~until5(s216))),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14989, 294, 14983])).
% 13.90/9.67 tff(14991,plain,
% 13.90/9.67 (~until5(s216)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14990, 14970])).
% 13.90/9.67 tff(14992,plain,
% 13.90/9.67 (succ(s215, s216) <=> succ(s215, s216)),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14993,axiom,(succ(s215, s216)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound216')).
% 13.90/9.67 tff(14994,plain,
% 13.90/9.67 (succ(s215, s216)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14993, 14992])).
% 13.90/9.67 tff(14995,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(14996,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(14997,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[14996, 14995])).
% 13.90/9.67 tff(14998,plain,
% 13.90/9.67 ((~xuntil6(s215)) | until5(s216)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14997, 14994, 312])).
% 13.90/9.67 tff(14999,plain,
% 13.90/9.67 (~xuntil6(s215)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[14998, 14991])).
% 13.90/9.67 tff(15000,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(15001,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(15002,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[15001, 15000])).
% 13.90/9.67 tff(15003,plain,
% 13.90/9.67 (trans(s215, s216)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[15002, 14994, 52])).
% 13.90/9.67 tff(15004,plain,
% 13.90/9.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s215, s216)) | (~always3(s215)) | always3(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s215, s216)) | (~always3(s215)) | always3(s216))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(15005,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s215, s216)) | (~always3(s215)) | always3(s216))),
% 13.90/9.67 inference(quant_inst,[status(thm)],[])).
% 13.90/9.67 tff(15006,plain,
% 13.90/9.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s215, s216)) | (~always3(s215)) | always3(s216)),
% 13.90/9.67 inference(modus_ponens,[status(thm)],[15005, 15004])).
% 13.90/9.67 tff(15007,plain,
% 13.90/9.67 ((~always3(s215)) | always3(s216)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[15006, 125, 15003])).
% 13.90/9.67 tff(15008,plain,
% 13.90/9.67 (~always3(s215)),
% 13.90/9.67 inference(unit_resolution,[status(thm)],[15007, 14979])).
% 13.90/9.67 tff(15009,plain,
% 13.90/9.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s215) | (~node4(s215)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s215) | (~node4(s215)))),
% 13.90/9.67 inference(rewrite,[status(thm)],[])).
% 13.90/9.67 tff(15010,plain,
% 13.90/9.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s215) | (~node4(s215)))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15011,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s215) | (~node4(s215))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15010, 15009])).
% 13.90/9.68 tff(15012,plain,
% 13.90/9.68 (~node4(s215)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15011, 36, 15008])).
% 13.90/9.68 tff(15013,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s215) | node4(s215) | (~until5(s215)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s215) | node4(s215) | (~until5(s215)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15014,plain,
% 13.90/9.68 ((node4(s215) | (~until5(s215)) | xuntil6(s215)) <=> (xuntil6(s215) | node4(s215) | (~until5(s215)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15015,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s215) | (~until5(s215)) | xuntil6(s215))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s215) | node4(s215) | (~until5(s215))))),
% 13.90/9.68 inference(monotonicity,[status(thm)],[15014])).
% 13.90/9.68 tff(15016,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s215) | (~until5(s215)) | xuntil6(s215))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s215) | node4(s215) | (~until5(s215)))),
% 13.90/9.68 inference(transitivity,[status(thm)],[15015, 15013])).
% 13.90/9.68 tff(15017,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s215) | (~until5(s215)) | xuntil6(s215))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15018,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s215) | node4(s215) | (~until5(s215))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15017, 15016])).
% 13.90/9.68 tff(15019,plain,
% 13.90/9.68 (xuntil6(s215) | (~until5(s215))),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15018, 294, 15012])).
% 13.90/9.68 tff(15020,plain,
% 13.90/9.68 (~until5(s215)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15019, 14999])).
% 13.90/9.68 tff(15021,plain,
% 13.90/9.68 (succ(s214, s215) <=> succ(s214, s215)),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15022,axiom,(succ(s214, s215)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound215')).
% 13.90/9.68 tff(15023,plain,
% 13.90/9.68 (succ(s214, s215)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15022, 15021])).
% 13.90/9.68 tff(15024,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15025,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15026,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 13.90/9.68 tff(15027,plain,
% 13.90/9.68 ((~xuntil6(s214)) | until5(s215)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15026, 15023, 312])).
% 13.90/9.68 tff(15028,plain,
% 13.90/9.68 (~xuntil6(s214)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15027, 15020])).
% 13.90/9.68 tff(15029,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15030,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15031,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15030, 15029])).
% 13.90/9.68 tff(15032,plain,
% 13.90/9.68 (trans(s214, s215)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15031, 15023, 52])).
% 13.90/9.68 tff(15033,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s214, s215)) | (~always3(s214)) | always3(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s214, s215)) | (~always3(s214)) | always3(s215))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15034,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s214, s215)) | (~always3(s214)) | always3(s215))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15035,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s214, s215)) | (~always3(s214)) | always3(s215)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15034, 15033])).
% 13.90/9.68 tff(15036,plain,
% 13.90/9.68 ((~always3(s214)) | always3(s215)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15035, 125, 15032])).
% 13.90/9.68 tff(15037,plain,
% 13.90/9.68 (~always3(s214)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15036, 15008])).
% 13.90/9.68 tff(15038,plain,
% 13.90/9.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s214) | (~node4(s214)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s214) | (~node4(s214)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15039,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s214) | (~node4(s214)))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15040,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s214) | (~node4(s214))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 13.90/9.68 tff(15041,plain,
% 13.90/9.68 (~node4(s214)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15040, 36, 15037])).
% 13.90/9.68 tff(15042,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s214) | node4(s214) | (~until5(s214)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s214) | node4(s214) | (~until5(s214)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15043,plain,
% 13.90/9.68 ((node4(s214) | (~until5(s214)) | xuntil6(s214)) <=> (xuntil6(s214) | node4(s214) | (~until5(s214)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15044,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s214) | (~until5(s214)) | xuntil6(s214))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s214) | node4(s214) | (~until5(s214))))),
% 13.90/9.68 inference(monotonicity,[status(thm)],[15043])).
% 13.90/9.68 tff(15045,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s214) | (~until5(s214)) | xuntil6(s214))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s214) | node4(s214) | (~until5(s214)))),
% 13.90/9.68 inference(transitivity,[status(thm)],[15044, 15042])).
% 13.90/9.68 tff(15046,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s214) | (~until5(s214)) | xuntil6(s214))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15047,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s214) | node4(s214) | (~until5(s214))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15046, 15045])).
% 13.90/9.68 tff(15048,plain,
% 13.90/9.68 (xuntil6(s214) | (~until5(s214))),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15047, 294, 15041])).
% 13.90/9.68 tff(15049,plain,
% 13.90/9.68 (~until5(s214)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15048, 15028])).
% 13.90/9.68 tff(15050,plain,
% 13.90/9.68 (succ(s213, s214) <=> succ(s213, s214)),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15051,axiom,(succ(s213, s214)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound214')).
% 13.90/9.68 tff(15052,plain,
% 13.90/9.68 (succ(s213, s214)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15051, 15050])).
% 13.90/9.68 tff(15053,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15054,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15055,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15054, 15053])).
% 13.90/9.68 tff(15056,plain,
% 13.90/9.68 ((~xuntil6(s213)) | until5(s214)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15055, 15052, 312])).
% 13.90/9.68 tff(15057,plain,
% 13.90/9.68 (~xuntil6(s213)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15056, 15049])).
% 13.90/9.68 tff(15058,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15059,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15060,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 13.90/9.68 tff(15061,plain,
% 13.90/9.68 (trans(s213, s214)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15060, 15052, 52])).
% 13.90/9.68 tff(15062,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s213, s214)) | (~always3(s213)) | always3(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s213, s214)) | (~always3(s213)) | always3(s214))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15063,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s213, s214)) | (~always3(s213)) | always3(s214))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15064,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s213, s214)) | (~always3(s213)) | always3(s214)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15063, 15062])).
% 13.90/9.68 tff(15065,plain,
% 13.90/9.68 ((~always3(s213)) | always3(s214)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15064, 125, 15061])).
% 13.90/9.68 tff(15066,plain,
% 13.90/9.68 (~always3(s213)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15065, 15037])).
% 13.90/9.68 tff(15067,plain,
% 13.90/9.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s213) | (~node4(s213)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s213) | (~node4(s213)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15068,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s213) | (~node4(s213)))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15069,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s213) | (~node4(s213))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15068, 15067])).
% 13.90/9.68 tff(15070,plain,
% 13.90/9.68 (~node4(s213)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15069, 36, 15066])).
% 13.90/9.68 tff(15071,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s213) | node4(s213) | (~until5(s213)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s213) | node4(s213) | (~until5(s213)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15072,plain,
% 13.90/9.68 ((node4(s213) | (~until5(s213)) | xuntil6(s213)) <=> (xuntil6(s213) | node4(s213) | (~until5(s213)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15073,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s213) | (~until5(s213)) | xuntil6(s213))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s213) | node4(s213) | (~until5(s213))))),
% 13.90/9.68 inference(monotonicity,[status(thm)],[15072])).
% 13.90/9.68 tff(15074,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s213) | (~until5(s213)) | xuntil6(s213))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s213) | node4(s213) | (~until5(s213)))),
% 13.90/9.68 inference(transitivity,[status(thm)],[15073, 15071])).
% 13.90/9.68 tff(15075,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s213) | (~until5(s213)) | xuntil6(s213))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15076,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s213) | node4(s213) | (~until5(s213))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15075, 15074])).
% 13.90/9.68 tff(15077,plain,
% 13.90/9.68 (xuntil6(s213) | (~until5(s213))),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15076, 294, 15070])).
% 13.90/9.68 tff(15078,plain,
% 13.90/9.68 (~until5(s213)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15077, 15057])).
% 13.90/9.68 tff(15079,plain,
% 13.90/9.68 (succ(s212, s213) <=> succ(s212, s213)),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15080,axiom,(succ(s212, s213)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound213')).
% 13.90/9.68 tff(15081,plain,
% 13.90/9.68 (succ(s212, s213)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15080, 15079])).
% 13.90/9.68 tff(15082,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15083,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15084,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15083, 15082])).
% 13.90/9.68 tff(15085,plain,
% 13.90/9.68 ((~xuntil6(s212)) | until5(s213)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15084, 15081, 312])).
% 13.90/9.68 tff(15086,plain,
% 13.90/9.68 (~xuntil6(s212)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15085, 15078])).
% 13.90/9.68 tff(15087,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15088,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15089,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15088, 15087])).
% 13.90/9.68 tff(15090,plain,
% 13.90/9.68 (trans(s212, s213)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15089, 15081, 52])).
% 13.90/9.68 tff(15091,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s212, s213)) | (~always3(s212)) | always3(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s212, s213)) | (~always3(s212)) | always3(s213))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15092,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s212, s213)) | (~always3(s212)) | always3(s213))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15093,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s212, s213)) | (~always3(s212)) | always3(s213)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15092, 15091])).
% 13.90/9.68 tff(15094,plain,
% 13.90/9.68 ((~always3(s212)) | always3(s213)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15093, 125, 15090])).
% 13.90/9.68 tff(15095,plain,
% 13.90/9.68 (~always3(s212)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15094, 15066])).
% 13.90/9.68 tff(15096,plain,
% 13.90/9.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s212) | (~node4(s212)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s212) | (~node4(s212)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15097,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s212) | (~node4(s212)))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15098,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s212) | (~node4(s212))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15097, 15096])).
% 13.90/9.68 tff(15099,plain,
% 13.90/9.68 (~node4(s212)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15098, 36, 15095])).
% 13.90/9.68 tff(15100,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s212) | node4(s212) | (~until5(s212)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s212) | node4(s212) | (~until5(s212)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15101,plain,
% 13.90/9.68 ((node4(s212) | (~until5(s212)) | xuntil6(s212)) <=> (xuntil6(s212) | node4(s212) | (~until5(s212)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15102,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s212) | (~until5(s212)) | xuntil6(s212))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s212) | node4(s212) | (~until5(s212))))),
% 13.90/9.68 inference(monotonicity,[status(thm)],[15101])).
% 13.90/9.68 tff(15103,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s212) | (~until5(s212)) | xuntil6(s212))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s212) | node4(s212) | (~until5(s212)))),
% 13.90/9.68 inference(transitivity,[status(thm)],[15102, 15100])).
% 13.90/9.68 tff(15104,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s212) | (~until5(s212)) | xuntil6(s212))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15105,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s212) | node4(s212) | (~until5(s212))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15104, 15103])).
% 13.90/9.68 tff(15106,plain,
% 13.90/9.68 (xuntil6(s212) | (~until5(s212))),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15105, 294, 15099])).
% 13.90/9.68 tff(15107,plain,
% 13.90/9.68 (~until5(s212)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15106, 15086])).
% 13.90/9.68 tff(15108,plain,
% 13.90/9.68 (succ(s211, s212) <=> succ(s211, s212)),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15109,axiom,(succ(s211, s212)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound212')).
% 13.90/9.68 tff(15110,plain,
% 13.90/9.68 (succ(s211, s212)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15109, 15108])).
% 13.90/9.68 tff(15111,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15112,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15113,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15112, 15111])).
% 13.90/9.68 tff(15114,plain,
% 13.90/9.68 ((~xuntil6(s211)) | until5(s212)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15113, 15110, 312])).
% 13.90/9.68 tff(15115,plain,
% 13.90/9.68 (~xuntil6(s211)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15114, 15107])).
% 13.90/9.68 tff(15116,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15117,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15118,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15117, 15116])).
% 13.90/9.68 tff(15119,plain,
% 13.90/9.68 (trans(s211, s212)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15118, 15110, 52])).
% 13.90/9.68 tff(15120,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s211, s212)) | (~always3(s211)) | always3(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s211, s212)) | (~always3(s211)) | always3(s212))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15121,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s211, s212)) | (~always3(s211)) | always3(s212))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15122,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s211, s212)) | (~always3(s211)) | always3(s212)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 13.90/9.68 tff(15123,plain,
% 13.90/9.68 ((~always3(s211)) | always3(s212)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15122, 125, 15119])).
% 13.90/9.68 tff(15124,plain,
% 13.90/9.68 (~always3(s211)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15123, 15095])).
% 13.90/9.68 tff(15125,plain,
% 13.90/9.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s211) | (~node4(s211)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s211) | (~node4(s211)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15126,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s211) | (~node4(s211)))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15127,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s211) | (~node4(s211))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15126, 15125])).
% 13.90/9.68 tff(15128,plain,
% 13.90/9.68 (~node4(s211)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15127, 36, 15124])).
% 13.90/9.68 tff(15129,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s211) | node4(s211) | (~until5(s211)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s211) | node4(s211) | (~until5(s211)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15130,plain,
% 13.90/9.68 ((node4(s211) | (~until5(s211)) | xuntil6(s211)) <=> (xuntil6(s211) | node4(s211) | (~until5(s211)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15131,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s211) | (~until5(s211)) | xuntil6(s211))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s211) | node4(s211) | (~until5(s211))))),
% 13.90/9.68 inference(monotonicity,[status(thm)],[15130])).
% 13.90/9.68 tff(15132,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s211) | (~until5(s211)) | xuntil6(s211))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s211) | node4(s211) | (~until5(s211)))),
% 13.90/9.68 inference(transitivity,[status(thm)],[15131, 15129])).
% 13.90/9.68 tff(15133,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s211) | (~until5(s211)) | xuntil6(s211))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15134,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s211) | node4(s211) | (~until5(s211))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 13.90/9.68 tff(15135,plain,
% 13.90/9.68 (xuntil6(s211) | (~until5(s211))),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15134, 294, 15128])).
% 13.90/9.68 tff(15136,plain,
% 13.90/9.68 (~until5(s211)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15135, 15115])).
% 13.90/9.68 tff(15137,plain,
% 13.90/9.68 (succ(s210, s211) <=> succ(s210, s211)),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15138,axiom,(succ(s210, s211)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound211')).
% 13.90/9.68 tff(15139,plain,
% 13.90/9.68 (succ(s210, s211)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15138, 15137])).
% 13.90/9.68 tff(15140,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15141,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15142,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 13.90/9.68 tff(15143,plain,
% 13.90/9.68 ((~xuntil6(s210)) | until5(s211)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15142, 15139, 312])).
% 13.90/9.68 tff(15144,plain,
% 13.90/9.68 (~xuntil6(s210)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15143, 15136])).
% 13.90/9.68 tff(15145,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15146,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15147,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15146, 15145])).
% 13.90/9.68 tff(15148,plain,
% 13.90/9.68 (trans(s210, s211)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15147, 15139, 52])).
% 13.90/9.68 tff(15149,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s210, s211)) | (~always3(s210)) | always3(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s210, s211)) | (~always3(s210)) | always3(s211))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15150,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s210, s211)) | (~always3(s210)) | always3(s211))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15151,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s210, s211)) | (~always3(s210)) | always3(s211)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15150, 15149])).
% 13.90/9.68 tff(15152,plain,
% 13.90/9.68 ((~always3(s210)) | always3(s211)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15151, 125, 15148])).
% 13.90/9.68 tff(15153,plain,
% 13.90/9.68 (~always3(s210)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15152, 15124])).
% 13.90/9.68 tff(15154,plain,
% 13.90/9.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s210) | (~node4(s210)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s210) | (~node4(s210)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15155,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s210) | (~node4(s210)))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15156,plain,
% 13.90/9.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s210) | (~node4(s210))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 13.90/9.68 tff(15157,plain,
% 13.90/9.68 (~node4(s210)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15156, 36, 15153])).
% 13.90/9.68 tff(15158,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s210) | node4(s210) | (~until5(s210)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s210) | node4(s210) | (~until5(s210)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15159,plain,
% 13.90/9.68 ((node4(s210) | (~until5(s210)) | xuntil6(s210)) <=> (xuntil6(s210) | node4(s210) | (~until5(s210)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15160,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s210) | (~until5(s210)) | xuntil6(s210))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s210) | node4(s210) | (~until5(s210))))),
% 13.90/9.68 inference(monotonicity,[status(thm)],[15159])).
% 13.90/9.68 tff(15161,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s210) | (~until5(s210)) | xuntil6(s210))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s210) | node4(s210) | (~until5(s210)))),
% 13.90/9.68 inference(transitivity,[status(thm)],[15160, 15158])).
% 13.90/9.68 tff(15162,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s210) | (~until5(s210)) | xuntil6(s210))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15163,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s210) | node4(s210) | (~until5(s210))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15162, 15161])).
% 13.90/9.68 tff(15164,plain,
% 13.90/9.68 (xuntil6(s210) | (~until5(s210))),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15163, 294, 15157])).
% 13.90/9.68 tff(15165,plain,
% 13.90/9.68 (~until5(s210)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15164, 15144])).
% 13.90/9.68 tff(15166,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15167,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15168,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15167, 15166])).
% 13.90/9.68 tff(15169,plain,
% 13.90/9.68 ((~xuntil6(s209)) | until5(s210)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15168, 14824, 312])).
% 13.90/9.68 tff(15170,plain,
% 13.90/9.68 (~xuntil6(s209)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15169, 15165])).
% 13.90/9.68 tff(15171,plain,
% 13.90/9.68 (~always3(s209)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[14832, 15153])).
% 13.90/9.68 tff(15172,plain,
% 13.90/9.68 (~node4(s209)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[14820, 36, 15171])).
% 13.90/9.68 tff(15173,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s209) | node4(s209) | (~until5(s209)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s209) | node4(s209) | (~until5(s209)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15174,plain,
% 13.90/9.68 ((node4(s209) | (~until5(s209)) | xuntil6(s209)) <=> (xuntil6(s209) | node4(s209) | (~until5(s209)))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15175,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s209) | (~until5(s209)) | xuntil6(s209))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s209) | node4(s209) | (~until5(s209))))),
% 13.90/9.68 inference(monotonicity,[status(thm)],[15174])).
% 13.90/9.68 tff(15176,plain,
% 13.90/9.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s209) | (~until5(s209)) | xuntil6(s209))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s209) | node4(s209) | (~until5(s209)))),
% 13.90/9.68 inference(transitivity,[status(thm)],[15175, 15173])).
% 13.90/9.68 tff(15177,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s209) | (~until5(s209)) | xuntil6(s209))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15178,plain,
% 13.90/9.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s209) | node4(s209) | (~until5(s209))),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 13.90/9.68 tff(15179,plain,
% 13.90/9.68 (xuntil6(s209) | (~until5(s209))),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15178, 294, 15172])).
% 13.90/9.68 tff(15180,plain,
% 13.90/9.68 (~until5(s209)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15179, 15170])).
% 13.90/9.68 tff(15181,plain,
% 13.90/9.68 (succ(s208, s209) <=> succ(s208, s209)),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15182,axiom,(succ(s208, s209)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound209')).
% 13.90/9.68 tff(15183,plain,
% 13.90/9.68 (succ(s208, s209)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 13.90/9.68 tff(15184,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15185,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15186,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15185, 15184])).
% 13.90/9.68 tff(15187,plain,
% 13.90/9.68 ((~xuntil6(s208)) | until5(s209)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15186, 15183, 312])).
% 13.90/9.68 tff(15188,plain,
% 13.90/9.68 (~xuntil6(s208)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15187, 15180])).
% 13.90/9.68 tff(15189,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15190,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))),
% 13.90/9.68 inference(quant_inst,[status(thm)],[])).
% 13.90/9.68 tff(15191,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209)),
% 13.90/9.68 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 13.90/9.68 tff(15192,plain,
% 13.90/9.68 (trans(s208, s209)),
% 13.90/9.68 inference(unit_resolution,[status(thm)],[15191, 15183, 52])).
% 13.90/9.68 tff(15193,plain,
% 13.90/9.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s208, s209)) | (~always3(s208)) | always3(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s208, s209)) | (~always3(s208)) | always3(s209))),
% 13.90/9.68 inference(rewrite,[status(thm)],[])).
% 13.90/9.68 tff(15194,plain,
% 13.90/9.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s208, s209)) | (~always3(s208)) | always3(s209))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15195,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s208, s209)) | (~always3(s208)) | always3(s209)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 13.90/9.69 tff(15196,plain,
% 13.90/9.69 ((~always3(s208)) | always3(s209)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15195, 125, 15192])).
% 13.90/9.69 tff(15197,plain,
% 13.90/9.69 (~always3(s208)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15196, 15171])).
% 13.90/9.69 tff(15198,plain,
% 13.90/9.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s208) | (~node4(s208)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s208) | (~node4(s208)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15199,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s208) | (~node4(s208)))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15200,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s208) | (~node4(s208))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15199, 15198])).
% 13.90/9.69 tff(15201,plain,
% 13.90/9.69 (~node4(s208)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15200, 36, 15197])).
% 13.90/9.69 tff(15202,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s208) | node4(s208) | (~until5(s208)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s208) | node4(s208) | (~until5(s208)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15203,plain,
% 13.90/9.69 ((node4(s208) | (~until5(s208)) | xuntil6(s208)) <=> (xuntil6(s208) | node4(s208) | (~until5(s208)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15204,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s208) | (~until5(s208)) | xuntil6(s208))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s208) | node4(s208) | (~until5(s208))))),
% 13.90/9.69 inference(monotonicity,[status(thm)],[15203])).
% 13.90/9.69 tff(15205,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s208) | (~until5(s208)) | xuntil6(s208))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s208) | node4(s208) | (~until5(s208)))),
% 13.90/9.69 inference(transitivity,[status(thm)],[15204, 15202])).
% 13.90/9.69 tff(15206,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s208) | (~until5(s208)) | xuntil6(s208))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15207,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s208) | node4(s208) | (~until5(s208))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15206, 15205])).
% 13.90/9.69 tff(15208,plain,
% 13.90/9.69 (xuntil6(s208) | (~until5(s208))),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15207, 294, 15201])).
% 13.90/9.69 tff(15209,plain,
% 13.90/9.69 (~until5(s208)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15208, 15188])).
% 13.90/9.69 tff(15210,plain,
% 13.90/9.69 (succ(s207, s208) <=> succ(s207, s208)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15211,axiom,(succ(s207, s208)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound208')).
% 13.90/9.69 tff(15212,plain,
% 13.90/9.69 (succ(s207, s208)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15211, 15210])).
% 13.90/9.69 tff(15213,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15214,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15215,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15214, 15213])).
% 13.90/9.69 tff(15216,plain,
% 13.90/9.69 ((~xuntil6(s207)) | until5(s208)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15215, 15212, 312])).
% 13.90/9.69 tff(15217,plain,
% 13.90/9.69 (~xuntil6(s207)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15216, 15209])).
% 13.90/9.69 tff(15218,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15219,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15220,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15219, 15218])).
% 13.90/9.69 tff(15221,plain,
% 13.90/9.69 (trans(s207, s208)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15220, 15212, 52])).
% 13.90/9.69 tff(15222,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s207, s208)) | (~always3(s207)) | always3(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s207, s208)) | (~always3(s207)) | always3(s208))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15223,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s207, s208)) | (~always3(s207)) | always3(s208))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15224,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s207, s208)) | (~always3(s207)) | always3(s208)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15223, 15222])).
% 13.90/9.69 tff(15225,plain,
% 13.90/9.69 ((~always3(s207)) | always3(s208)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15224, 125, 15221])).
% 13.90/9.69 tff(15226,plain,
% 13.90/9.69 (~always3(s207)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15225, 15197])).
% 13.90/9.69 tff(15227,plain,
% 13.90/9.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s207) | (~node4(s207)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s207) | (~node4(s207)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15228,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s207) | (~node4(s207)))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15229,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s207) | (~node4(s207))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 13.90/9.69 tff(15230,plain,
% 13.90/9.69 (~node4(s207)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15229, 36, 15226])).
% 13.90/9.69 tff(15231,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s207) | node4(s207) | (~until5(s207)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s207) | node4(s207) | (~until5(s207)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15232,plain,
% 13.90/9.69 ((node4(s207) | (~until5(s207)) | xuntil6(s207)) <=> (xuntil6(s207) | node4(s207) | (~until5(s207)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15233,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s207) | (~until5(s207)) | xuntil6(s207))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s207) | node4(s207) | (~until5(s207))))),
% 13.90/9.69 inference(monotonicity,[status(thm)],[15232])).
% 13.90/9.69 tff(15234,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s207) | (~until5(s207)) | xuntil6(s207))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s207) | node4(s207) | (~until5(s207)))),
% 13.90/9.69 inference(transitivity,[status(thm)],[15233, 15231])).
% 13.90/9.69 tff(15235,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s207) | (~until5(s207)) | xuntil6(s207))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15236,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s207) | node4(s207) | (~until5(s207))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15235, 15234])).
% 13.90/9.69 tff(15237,plain,
% 13.90/9.69 (xuntil6(s207) | (~until5(s207))),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15236, 294, 15230])).
% 13.90/9.69 tff(15238,plain,
% 13.90/9.69 (~until5(s207)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15237, 15217])).
% 13.90/9.69 tff(15239,plain,
% 13.90/9.69 (succ(s206, s207) <=> succ(s206, s207)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15240,axiom,(succ(s206, s207)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound207')).
% 13.90/9.69 tff(15241,plain,
% 13.90/9.69 (succ(s206, s207)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15240, 15239])).
% 13.90/9.69 tff(15242,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15243,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15244,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 13.90/9.69 tff(15245,plain,
% 13.90/9.69 ((~xuntil6(s206)) | until5(s207)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15244, 15241, 312])).
% 13.90/9.69 tff(15246,plain,
% 13.90/9.69 (~xuntil6(s206)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15245, 15238])).
% 13.90/9.69 tff(15247,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15248,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15249,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15248, 15247])).
% 13.90/9.69 tff(15250,plain,
% 13.90/9.69 (trans(s206, s207)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15249, 15241, 52])).
% 13.90/9.69 tff(15251,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s206, s207)) | (~always3(s206)) | always3(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s206, s207)) | (~always3(s206)) | always3(s207))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15252,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s206, s207)) | (~always3(s206)) | always3(s207))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15253,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s206, s207)) | (~always3(s206)) | always3(s207)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15252, 15251])).
% 13.90/9.69 tff(15254,plain,
% 13.90/9.69 ((~always3(s206)) | always3(s207)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15253, 125, 15250])).
% 13.90/9.69 tff(15255,plain,
% 13.90/9.69 (~always3(s206)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15254, 15226])).
% 13.90/9.69 tff(15256,plain,
% 13.90/9.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s206) | (~node4(s206)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s206) | (~node4(s206)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15257,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s206) | (~node4(s206)))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15258,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s206) | (~node4(s206))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15257, 15256])).
% 13.90/9.69 tff(15259,plain,
% 13.90/9.69 (~node4(s206)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15258, 36, 15255])).
% 13.90/9.69 tff(15260,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s206) | node4(s206) | (~until5(s206)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s206) | node4(s206) | (~until5(s206)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15261,plain,
% 13.90/9.69 ((node4(s206) | (~until5(s206)) | xuntil6(s206)) <=> (xuntil6(s206) | node4(s206) | (~until5(s206)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15262,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s206) | (~until5(s206)) | xuntil6(s206))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s206) | node4(s206) | (~until5(s206))))),
% 13.90/9.69 inference(monotonicity,[status(thm)],[15261])).
% 13.90/9.69 tff(15263,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s206) | (~until5(s206)) | xuntil6(s206))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s206) | node4(s206) | (~until5(s206)))),
% 13.90/9.69 inference(transitivity,[status(thm)],[15262, 15260])).
% 13.90/9.69 tff(15264,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s206) | (~until5(s206)) | xuntil6(s206))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15265,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s206) | node4(s206) | (~until5(s206))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15264, 15263])).
% 13.90/9.69 tff(15266,plain,
% 13.90/9.69 (xuntil6(s206) | (~until5(s206))),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15265, 294, 15259])).
% 13.90/9.69 tff(15267,plain,
% 13.90/9.69 (~until5(s206)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15266, 15246])).
% 13.90/9.69 tff(15268,plain,
% 13.90/9.69 (succ(s205, s206) <=> succ(s205, s206)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15269,axiom,(succ(s205, s206)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound206')).
% 13.90/9.69 tff(15270,plain,
% 13.90/9.69 (succ(s205, s206)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15269, 15268])).
% 13.90/9.69 tff(15271,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15272,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15273,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15272, 15271])).
% 13.90/9.69 tff(15274,plain,
% 13.90/9.69 ((~xuntil6(s205)) | until5(s206)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15273, 15270, 312])).
% 13.90/9.69 tff(15275,plain,
% 13.90/9.69 (~xuntil6(s205)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15274, 15267])).
% 13.90/9.69 tff(15276,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15277,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15278,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15277, 15276])).
% 13.90/9.69 tff(15279,plain,
% 13.90/9.69 (trans(s205, s206)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15278, 15270, 52])).
% 13.90/9.69 tff(15280,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s205, s206)) | (~always3(s205)) | always3(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s205, s206)) | (~always3(s205)) | always3(s206))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15281,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s205, s206)) | (~always3(s205)) | always3(s206))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15282,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s205, s206)) | (~always3(s205)) | always3(s206)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15281, 15280])).
% 13.90/9.69 tff(15283,plain,
% 13.90/9.69 ((~always3(s205)) | always3(s206)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15282, 125, 15279])).
% 13.90/9.69 tff(15284,plain,
% 13.90/9.69 (~always3(s205)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15283, 15255])).
% 13.90/9.69 tff(15285,plain,
% 13.90/9.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s205) | (~node4(s205)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s205) | (~node4(s205)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15286,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s205) | (~node4(s205)))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15287,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s205) | (~node4(s205))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15286, 15285])).
% 13.90/9.69 tff(15288,plain,
% 13.90/9.69 (~node4(s205)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15287, 36, 15284])).
% 13.90/9.69 tff(15289,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s205) | node4(s205) | (~until5(s205)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15290,plain,
% 13.90/9.69 ((node4(s205) | (~until5(s205)) | xuntil6(s205)) <=> (xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15291,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s205) | node4(s205) | (~until5(s205))))),
% 13.90/9.69 inference(monotonicity,[status(thm)],[15290])).
% 13.90/9.69 tff(15292,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 13.90/9.69 inference(transitivity,[status(thm)],[15291, 15289])).
% 13.90/9.69 tff(15293,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15294,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15293, 15292])).
% 13.90/9.69 tff(15295,plain,
% 13.90/9.69 (xuntil6(s205) | (~until5(s205))),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15294, 294, 15288])).
% 13.90/9.69 tff(15296,plain,
% 13.90/9.69 (~until5(s205)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15295, 15275])).
% 13.90/9.69 tff(15297,plain,
% 13.90/9.69 (succ(s204, s205) <=> succ(s204, s205)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15298,axiom,(succ(s204, s205)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound205')).
% 13.90/9.69 tff(15299,plain,
% 13.90/9.69 (succ(s204, s205)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15298, 15297])).
% 13.90/9.69 tff(15300,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15301,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15302,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15301, 15300])).
% 13.90/9.69 tff(15303,plain,
% 13.90/9.69 ((~xuntil6(s204)) | until5(s205)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15302, 15299, 312])).
% 13.90/9.69 tff(15304,plain,
% 13.90/9.69 (~xuntil6(s204)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15303, 15296])).
% 13.90/9.69 tff(15305,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15306,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15307,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15306, 15305])).
% 13.90/9.69 tff(15308,plain,
% 13.90/9.69 (trans(s204, s205)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15307, 15299, 52])).
% 13.90/9.69 tff(15309,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s204, s205)) | (~always3(s204)) | always3(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s204, s205)) | (~always3(s204)) | always3(s205))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15310,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s204, s205)) | (~always3(s204)) | always3(s205))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15311,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s204, s205)) | (~always3(s204)) | always3(s205)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15310, 15309])).
% 13.90/9.69 tff(15312,plain,
% 13.90/9.69 ((~always3(s204)) | always3(s205)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15311, 125, 15308])).
% 13.90/9.69 tff(15313,plain,
% 13.90/9.69 (~always3(s204)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15312, 15284])).
% 13.90/9.69 tff(15314,plain,
% 13.90/9.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s204) | (~node4(s204)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s204) | (~node4(s204)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15315,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s204) | (~node4(s204)))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15316,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s204) | (~node4(s204))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 13.90/9.69 tff(15317,plain,
% 13.90/9.69 (~node4(s204)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15316, 36, 15313])).
% 13.90/9.69 tff(15318,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s204) | node4(s204) | (~until5(s204)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15319,plain,
% 13.90/9.69 ((node4(s204) | (~until5(s204)) | xuntil6(s204)) <=> (xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15320,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s204) | node4(s204) | (~until5(s204))))),
% 13.90/9.69 inference(monotonicity,[status(thm)],[15319])).
% 13.90/9.69 tff(15321,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 13.90/9.69 inference(transitivity,[status(thm)],[15320, 15318])).
% 13.90/9.69 tff(15322,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15323,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15322, 15321])).
% 13.90/9.69 tff(15324,plain,
% 13.90/9.69 (xuntil6(s204) | (~until5(s204))),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15323, 294, 15317])).
% 13.90/9.69 tff(15325,plain,
% 13.90/9.69 (~until5(s204)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15324, 15304])).
% 13.90/9.69 tff(15326,plain,
% 13.90/9.69 (succ(s203, s204) <=> succ(s203, s204)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15327,axiom,(succ(s203, s204)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound204')).
% 13.90/9.69 tff(15328,plain,
% 13.90/9.69 (succ(s203, s204)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15327, 15326])).
% 13.90/9.69 tff(15329,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15330,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15331,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 13.90/9.69 tff(15332,plain,
% 13.90/9.69 ((~xuntil6(s203)) | until5(s204)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15331, 15328, 312])).
% 13.90/9.69 tff(15333,plain,
% 13.90/9.69 (~xuntil6(s203)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15332, 15325])).
% 13.90/9.69 tff(15334,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15335,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15336,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15335, 15334])).
% 13.90/9.69 tff(15337,plain,
% 13.90/9.69 (trans(s203, s204)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15336, 15328, 52])).
% 13.90/9.69 tff(15338,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s203, s204)) | (~always3(s203)) | always3(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s203, s204)) | (~always3(s203)) | always3(s204))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15339,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s203, s204)) | (~always3(s203)) | always3(s204))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15340,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s203, s204)) | (~always3(s203)) | always3(s204)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15339, 15338])).
% 13.90/9.69 tff(15341,plain,
% 13.90/9.69 ((~always3(s203)) | always3(s204)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15340, 125, 15337])).
% 13.90/9.69 tff(15342,plain,
% 13.90/9.69 (~always3(s203)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15341, 15313])).
% 13.90/9.69 tff(15343,plain,
% 13.90/9.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s203) | (~node4(s203)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s203) | (~node4(s203)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15344,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s203) | (~node4(s203)))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15345,plain,
% 13.90/9.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s203) | (~node4(s203))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15344, 15343])).
% 13.90/9.69 tff(15346,plain,
% 13.90/9.69 (~node4(s203)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15345, 36, 15342])).
% 13.90/9.69 tff(15347,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s203) | node4(s203) | (~until5(s203)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15348,plain,
% 13.90/9.69 ((node4(s203) | (~until5(s203)) | xuntil6(s203)) <=> (xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15349,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s203) | node4(s203) | (~until5(s203))))),
% 13.90/9.69 inference(monotonicity,[status(thm)],[15348])).
% 13.90/9.69 tff(15350,plain,
% 13.90/9.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 13.90/9.69 inference(transitivity,[status(thm)],[15349, 15347])).
% 13.90/9.69 tff(15351,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15352,plain,
% 13.90/9.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203))),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15351, 15350])).
% 13.90/9.69 tff(15353,plain,
% 13.90/9.69 (xuntil6(s203) | (~until5(s203))),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15352, 294, 15346])).
% 13.90/9.69 tff(15354,plain,
% 13.90/9.69 (~until5(s203)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15353, 15333])).
% 13.90/9.69 tff(15355,plain,
% 13.90/9.69 (succ(s202, s203) <=> succ(s202, s203)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15356,axiom,(succ(s202, s203)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound203')).
% 13.90/9.69 tff(15357,plain,
% 13.90/9.69 (succ(s202, s203)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15356, 15355])).
% 13.90/9.69 tff(15358,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15359,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15360,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15359, 15358])).
% 13.90/9.69 tff(15361,plain,
% 13.90/9.69 ((~xuntil6(s202)) | until5(s203)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15360, 15357, 312])).
% 13.90/9.69 tff(15362,plain,
% 13.90/9.69 (~xuntil6(s202)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15361, 15354])).
% 13.90/9.69 tff(15363,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15364,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15365,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 13.90/9.69 tff(15366,plain,
% 13.90/9.69 (trans(s202, s203)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15365, 15357, 52])).
% 13.90/9.69 tff(15367,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s202, s203)) | (~always3(s202)) | always3(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s202, s203)) | (~always3(s202)) | always3(s203))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15368,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s202, s203)) | (~always3(s202)) | always3(s203))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15369,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s202, s203)) | (~always3(s202)) | always3(s203)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 13.90/9.69 tff(15370,plain,
% 13.90/9.69 ((~always3(s202)) | always3(s203)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15369, 125, 15366])).
% 13.90/9.69 tff(15371,plain,
% 13.90/9.69 (~always3(s202)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15370, 15342])).
% 13.90/9.69 tff(15372,plain,
% 13.90/9.69 (succ(s201, s202) <=> succ(s201, s202)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15373,axiom,(succ(s201, s202)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound202')).
% 13.90/9.69 tff(15374,plain,
% 13.90/9.69 (succ(s201, s202)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15373, 15372])).
% 13.90/9.69 tff(15375,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15376,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15377,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15376, 15375])).
% 13.90/9.69 tff(15378,plain,
% 13.90/9.69 (trans(s201, s202)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15377, 15374, 52])).
% 13.90/9.69 tff(15379,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s201, s202)) | (~always3(s201)) | always3(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s201, s202)) | (~always3(s201)) | always3(s202))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15380,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s201, s202)) | (~always3(s201)) | always3(s202))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15381,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s201, s202)) | (~always3(s201)) | always3(s202)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 13.90/9.69 tff(15382,plain,
% 13.90/9.69 ((~always3(s201)) | always3(s202)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15381, 125, 15378])).
% 13.90/9.69 tff(15383,plain,
% 13.90/9.69 (~always3(s201)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15382, 15371])).
% 13.90/9.69 tff(15384,plain,
% 13.90/9.69 (succ(s200, s201) <=> succ(s200, s201)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15385,axiom,(succ(s200, s201)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound201')).
% 13.90/9.69 tff(15386,plain,
% 13.90/9.69 (succ(s200, s201)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15385, 15384])).
% 13.90/9.69 tff(15387,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15388,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15389,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15388, 15387])).
% 13.90/9.69 tff(15390,plain,
% 13.90/9.69 (trans(s200, s201)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15389, 15386, 52])).
% 13.90/9.69 tff(15391,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s200, s201)) | (~always3(s200)) | always3(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s200, s201)) | (~always3(s200)) | always3(s201))),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15392,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s200, s201)) | (~always3(s200)) | always3(s201))),
% 13.90/9.69 inference(quant_inst,[status(thm)],[])).
% 13.90/9.69 tff(15393,plain,
% 13.90/9.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s200, s201)) | (~always3(s200)) | always3(s201)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15392, 15391])).
% 13.90/9.69 tff(15394,plain,
% 13.90/9.69 ((~always3(s200)) | always3(s201)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15393, 125, 15390])).
% 13.90/9.69 tff(15395,plain,
% 13.90/9.69 (~always3(s200)),
% 13.90/9.69 inference(unit_resolution,[status(thm)],[15394, 15383])).
% 13.90/9.69 tff(15396,plain,
% 13.90/9.69 (succ(s199, s200) <=> succ(s199, s200)),
% 13.90/9.69 inference(rewrite,[status(thm)],[])).
% 13.90/9.69 tff(15397,axiom,(succ(s199, s200)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound200')).
% 13.90/9.69 tff(15398,plain,
% 13.90/9.69 (succ(s199, s200)),
% 13.90/9.69 inference(modus_ponens,[status(thm)],[15397, 15396])).
% 13.90/9.69 tff(15399,plain,
% 13.90/9.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200))),
% 13.90/9.70 inference(rewrite,[status(thm)],[])).
% 13.90/9.70 tff(15400,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))),
% 13.90/9.70 inference(quant_inst,[status(thm)],[])).
% 13.90/9.70 tff(15401,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200)),
% 13.90/9.70 inference(modus_ponens,[status(thm)],[15400, 15399])).
% 13.90/9.70 tff(15402,plain,
% 13.90/9.70 (trans(s199, s200)),
% 13.90/9.70 inference(unit_resolution,[status(thm)],[15401, 15398, 52])).
% 13.90/9.70 tff(15403,plain,
% 13.90/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s200)) | (~always3(s199)) | always3(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s199, s200)) | (~always3(s199)) | always3(s200))),
% 13.90/9.70 inference(rewrite,[status(thm)],[])).
% 13.90/9.70 tff(15404,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s200)) | (~always3(s199)) | always3(s200))),
% 13.90/9.70 inference(quant_inst,[status(thm)],[])).
% 13.90/9.70 tff(15405,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s199, s200)) | (~always3(s199)) | always3(s200)),
% 13.90/9.70 inference(modus_ponens,[status(thm)],[15404, 15403])).
% 13.90/9.70 tff(15406,plain,
% 13.90/9.70 ((~always3(s199)) | always3(s200)),
% 13.90/9.70 inference(unit_resolution,[status(thm)],[15405, 125, 15402])).
% 13.90/9.70 tff(15407,plain,
% 13.90/9.70 (~always3(s199)),
% 13.90/9.70 inference(unit_resolution,[status(thm)],[15406, 15395])).
% 13.90/9.70 tff(15408,plain,
% 13.90/9.70 (succ(s198, s199) <=> succ(s198, s199)),
% 13.90/9.70 inference(rewrite,[status(thm)],[])).
% 13.90/9.70 tff(15409,axiom,(succ(s198, s199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound199')).
% 13.90/9.70 tff(15410,plain,
% 13.90/9.70 (succ(s198, s199)),
% 13.90/9.70 inference(modus_ponens,[status(thm)],[15409, 15408])).
% 13.90/9.70 tff(15411,plain,
% 13.90/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199))),
% 13.90/9.70 inference(rewrite,[status(thm)],[])).
% 13.90/9.70 tff(15412,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 13.90/9.70 inference(quant_inst,[status(thm)],[])).
% 13.90/9.70 tff(15413,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 13.90/9.70 inference(modus_ponens,[status(thm)],[15412, 15411])).
% 13.90/9.70 tff(15414,plain,
% 13.90/9.70 (trans(s198, s199)),
% 13.90/9.70 inference(unit_resolution,[status(thm)],[15413, 15410, 52])).
% 13.90/9.70 tff(15415,plain,
% 13.90/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s198, s199)) | (~always3(s198)) | always3(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s198, s199)) | (~always3(s198)) | always3(s199))),
% 13.90/9.70 inference(rewrite,[status(thm)],[])).
% 13.90/9.70 tff(15416,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s198, s199)) | (~always3(s198)) | always3(s199))),
% 13.90/9.70 inference(quant_inst,[status(thm)],[])).
% 13.90/9.70 tff(15417,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s198, s199)) | (~always3(s198)) | always3(s199)),
% 13.90/9.70 inference(modus_ponens,[status(thm)],[15416, 15415])).
% 13.90/9.70 tff(15418,plain,
% 13.90/9.70 ((~always3(s198)) | always3(s199)),
% 13.90/9.70 inference(unit_resolution,[status(thm)],[15417, 125, 15414])).
% 13.90/9.70 tff(15419,plain,
% 13.90/9.70 (~always3(s198)),
% 13.90/9.70 inference(unit_resolution,[status(thm)],[15418, 15407])).
% 13.90/9.70 tff(15420,plain,
% 13.90/9.70 (succ(s197, s198) <=> succ(s197, s198)),
% 13.90/9.70 inference(rewrite,[status(thm)],[])).
% 13.90/9.70 tff(15421,axiom,(succ(s197, s198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound198')).
% 13.90/9.70 tff(15422,plain,
% 13.90/9.70 (succ(s197, s198)),
% 13.90/9.70 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 13.90/9.70 tff(15423,plain,
% 13.90/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198))),
% 13.90/9.70 inference(rewrite,[status(thm)],[])).
% 13.90/9.70 tff(15424,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 13.90/9.70 inference(quant_inst,[status(thm)],[])).
% 13.90/9.70 tff(15425,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 13.90/9.70 inference(modus_ponens,[status(thm)],[15424, 15423])).
% 13.90/9.70 tff(15426,plain,
% 13.90/9.70 (trans(s197, s198)),
% 13.90/9.70 inference(unit_resolution,[status(thm)],[15425, 15422, 52])).
% 13.90/9.70 tff(15427,plain,
% 13.90/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s197, s198)) | (~always3(s197)) | always3(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s197, s198)) | (~always3(s197)) | always3(s198))),
% 13.90/9.70 inference(rewrite,[status(thm)],[])).
% 13.90/9.70 tff(15428,plain,
% 13.90/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s197, s198)) | (~always3(s197)) | always3(s198))),
% 13.90/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15429,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s197, s198)) | (~always3(s197)) | always3(s198)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15428, 15427])).
% 13.99/9.70 tff(15430,plain,
% 13.99/9.70 ((~always3(s197)) | always3(s198)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15429, 125, 15426])).
% 13.99/9.70 tff(15431,plain,
% 13.99/9.70 (~always3(s197)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15430, 15419])).
% 13.99/9.70 tff(15432,plain,
% 13.99/9.70 (~always3(s196)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[14734, 15431])).
% 13.99/9.70 tff(15433,plain,
% 13.99/9.70 (succ(s195, s196) <=> succ(s195, s196)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15434,axiom,(succ(s195, s196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound196')).
% 13.99/9.70 tff(15435,plain,
% 13.99/9.70 (succ(s195, s196)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 13.99/9.70 tff(15436,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15437,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15438,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15437, 15436])).
% 13.99/9.70 tff(15439,plain,
% 13.99/9.70 (trans(s195, s196)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15438, 15435, 52])).
% 13.99/9.70 tff(15440,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s195, s196)) | (~always3(s195)) | always3(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s195, s196)) | (~always3(s195)) | always3(s196))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15441,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s195, s196)) | (~always3(s195)) | always3(s196))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15442,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s195, s196)) | (~always3(s195)) | always3(s196)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15441, 15440])).
% 13.99/9.70 tff(15443,plain,
% 13.99/9.70 ((~always3(s195)) | always3(s196)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15442, 125, 15439])).
% 13.99/9.70 tff(15444,plain,
% 13.99/9.70 (~always3(s195)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15443, 15432])).
% 13.99/9.70 tff(15445,plain,
% 13.99/9.70 (~always3(s194)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[14783, 15444])).
% 13.99/9.70 tff(15446,plain,
% 13.99/9.70 (succ(s193, s194) <=> succ(s193, s194)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15447,axiom,(succ(s193, s194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound194')).
% 13.99/9.70 tff(15448,plain,
% 13.99/9.70 (succ(s193, s194)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15447, 15446])).
% 13.99/9.70 tff(15449,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15450,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15451,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 13.99/9.70 tff(15452,plain,
% 13.99/9.70 (trans(s193, s194)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15451, 15448, 52])).
% 13.99/9.70 tff(15453,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s193, s194)) | (~always3(s193)) | always3(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s193, s194)) | (~always3(s193)) | always3(s194))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15454,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s193, s194)) | (~always3(s193)) | always3(s194))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15455,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s193, s194)) | (~always3(s193)) | always3(s194)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15454, 15453])).
% 13.99/9.70 tff(15456,plain,
% 13.99/9.70 ((~always3(s193)) | always3(s194)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15455, 125, 15452])).
% 13.99/9.70 tff(15457,plain,
% 13.99/9.70 (~always3(s193)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15456, 15445])).
% 13.99/9.70 tff(15458,plain,
% 13.99/9.70 (succ(s192, s193) <=> succ(s192, s193)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15459,axiom,(succ(s192, s193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound193')).
% 13.99/9.70 tff(15460,plain,
% 13.99/9.70 (succ(s192, s193)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15459, 15458])).
% 13.99/9.70 tff(15461,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15462,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15463,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 13.99/9.70 tff(15464,plain,
% 13.99/9.70 (trans(s192, s193)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15463, 15460, 52])).
% 13.99/9.70 tff(15465,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s192, s193)) | (~always3(s192)) | always3(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s192, s193)) | (~always3(s192)) | always3(s193))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15466,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s192, s193)) | (~always3(s192)) | always3(s193))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15467,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s192, s193)) | (~always3(s192)) | always3(s193)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15466, 15465])).
% 13.99/9.70 tff(15468,plain,
% 13.99/9.70 ((~always3(s192)) | always3(s193)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15467, 125, 15464])).
% 13.99/9.70 tff(15469,plain,
% 13.99/9.70 (~always3(s192)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15468, 15457])).
% 13.99/9.70 tff(15470,plain,
% 13.99/9.70 (succ(s191, s192) <=> succ(s191, s192)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15471,axiom,(succ(s191, s192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound192')).
% 13.99/9.70 tff(15472,plain,
% 13.99/9.70 (succ(s191, s192)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15471, 15470])).
% 13.99/9.70 tff(15473,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15474,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15475,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15474, 15473])).
% 13.99/9.70 tff(15476,plain,
% 13.99/9.70 (trans(s191, s192)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15475, 15472, 52])).
% 13.99/9.70 tff(15477,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s191, s192)) | (~always3(s191)) | always3(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s191, s192)) | (~always3(s191)) | always3(s192))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15478,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s191, s192)) | (~always3(s191)) | always3(s192))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15479,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s191, s192)) | (~always3(s191)) | always3(s192)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15478, 15477])).
% 13.99/9.70 tff(15480,plain,
% 13.99/9.70 ((~always3(s191)) | always3(s192)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15479, 125, 15476])).
% 13.99/9.70 tff(15481,plain,
% 13.99/9.70 (~always3(s191)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15480, 15469])).
% 13.99/9.70 tff(15482,plain,
% 13.99/9.70 (succ(s190, s191) <=> succ(s190, s191)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15483,axiom,(succ(s190, s191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound191')).
% 13.99/9.70 tff(15484,plain,
% 13.99/9.70 (succ(s190, s191)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 13.99/9.70 tff(15485,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15486,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15487,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 13.99/9.70 tff(15488,plain,
% 13.99/9.70 (trans(s190, s191)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15487, 15484, 52])).
% 13.99/9.70 tff(15489,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s190, s191)) | (~always3(s190)) | always3(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s190, s191)) | (~always3(s190)) | always3(s191))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15490,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s190, s191)) | (~always3(s190)) | always3(s191))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15491,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s190, s191)) | (~always3(s190)) | always3(s191)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 13.99/9.70 tff(15492,plain,
% 13.99/9.70 ((~always3(s190)) | always3(s191)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15491, 125, 15488])).
% 13.99/9.70 tff(15493,plain,
% 13.99/9.70 (~always3(s190)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15492, 15481])).
% 13.99/9.70 tff(15494,plain,
% 13.99/9.70 (succ(s189, s190) <=> succ(s189, s190)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15495,axiom,(succ(s189, s190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound190')).
% 13.99/9.70 tff(15496,plain,
% 13.99/9.70 (succ(s189, s190)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15495, 15494])).
% 13.99/9.70 tff(15497,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15498,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15499,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15498, 15497])).
% 13.99/9.70 tff(15500,plain,
% 13.99/9.70 (trans(s189, s190)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15499, 15496, 52])).
% 13.99/9.70 tff(15501,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s189, s190)) | (~always3(s189)) | always3(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s189, s190)) | (~always3(s189)) | always3(s190))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15502,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s189, s190)) | (~always3(s189)) | always3(s190))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15503,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s189, s190)) | (~always3(s189)) | always3(s190)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15502, 15501])).
% 13.99/9.70 tff(15504,plain,
% 13.99/9.70 ((~always3(s189)) | always3(s190)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15503, 125, 15500])).
% 13.99/9.70 tff(15505,plain,
% 13.99/9.70 (~always3(s189)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15504, 15493])).
% 13.99/9.70 tff(15506,plain,
% 13.99/9.70 (succ(s188, s189) <=> succ(s188, s189)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15507,axiom,(succ(s188, s189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound189')).
% 13.99/9.70 tff(15508,plain,
% 13.99/9.70 (succ(s188, s189)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15507, 15506])).
% 13.99/9.70 tff(15509,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15510,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15511,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15510, 15509])).
% 13.99/9.70 tff(15512,plain,
% 13.99/9.70 (trans(s188, s189)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15511, 15508, 52])).
% 13.99/9.70 tff(15513,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s188, s189)) | (~always3(s188)) | always3(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s188, s189)) | (~always3(s188)) | always3(s189))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15514,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s188, s189)) | (~always3(s188)) | always3(s189))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15515,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s188, s189)) | (~always3(s188)) | always3(s189)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 13.99/9.70 tff(15516,plain,
% 13.99/9.70 ((~always3(s188)) | always3(s189)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15515, 125, 15512])).
% 13.99/9.70 tff(15517,plain,
% 13.99/9.70 (~always3(s188)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15516, 15505])).
% 13.99/9.70 tff(15518,plain,
% 13.99/9.70 (succ(s187, s188) <=> succ(s187, s188)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15519,axiom,(succ(s187, s188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound188')).
% 13.99/9.70 tff(15520,plain,
% 13.99/9.70 (succ(s187, s188)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15519, 15518])).
% 13.99/9.70 tff(15521,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15522,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15523,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 13.99/9.70 tff(15524,plain,
% 13.99/9.70 (trans(s187, s188)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15523, 15520, 52])).
% 13.99/9.70 tff(15525,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s187, s188)) | (~always3(s187)) | always3(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s187, s188)) | (~always3(s187)) | always3(s188))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15526,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s187, s188)) | (~always3(s187)) | always3(s188))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15527,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s187, s188)) | (~always3(s187)) | always3(s188)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15526, 15525])).
% 13.99/9.70 tff(15528,plain,
% 13.99/9.70 ((~always3(s187)) | always3(s188)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15527, 125, 15524])).
% 13.99/9.70 tff(15529,plain,
% 13.99/9.70 (~always3(s187)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15528, 15517])).
% 13.99/9.70 tff(15530,plain,
% 13.99/9.70 (succ(s186, s187) <=> succ(s186, s187)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15531,axiom,(succ(s186, s187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound187')).
% 13.99/9.70 tff(15532,plain,
% 13.99/9.70 (succ(s186, s187)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15531, 15530])).
% 13.99/9.70 tff(15533,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15534,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15535,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15534, 15533])).
% 13.99/9.70 tff(15536,plain,
% 13.99/9.70 (trans(s186, s187)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15535, 15532, 52])).
% 13.99/9.70 tff(15537,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s186, s187)) | (~always3(s186)) | always3(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s186, s187)) | (~always3(s186)) | always3(s187))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15538,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s186, s187)) | (~always3(s186)) | always3(s187))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15539,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s186, s187)) | (~always3(s186)) | always3(s187)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15538, 15537])).
% 13.99/9.70 tff(15540,plain,
% 13.99/9.70 ((~always3(s186)) | always3(s187)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15539, 125, 15536])).
% 13.99/9.70 tff(15541,plain,
% 13.99/9.70 (~always3(s186)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15540, 15529])).
% 13.99/9.70 tff(15542,plain,
% 13.99/9.70 (succ(s185, s186) <=> succ(s185, s186)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15543,axiom,(succ(s185, s186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound186')).
% 13.99/9.70 tff(15544,plain,
% 13.99/9.70 (succ(s185, s186)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 13.99/9.70 tff(15545,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15546,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15547,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15546, 15545])).
% 13.99/9.70 tff(15548,plain,
% 13.99/9.70 (trans(s185, s186)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15547, 15544, 52])).
% 13.99/9.70 tff(15549,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s185, s186)) | (~always3(s185)) | always3(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s185, s186)) | (~always3(s185)) | always3(s186))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15550,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s185, s186)) | (~always3(s185)) | always3(s186))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15551,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s185, s186)) | (~always3(s185)) | always3(s186)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15550, 15549])).
% 13.99/9.70 tff(15552,plain,
% 13.99/9.70 ((~always3(s185)) | always3(s186)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15551, 125, 15548])).
% 13.99/9.70 tff(15553,plain,
% 13.99/9.70 (~always3(s185)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15552, 15541])).
% 13.99/9.70 tff(15554,plain,
% 13.99/9.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185)))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15555,plain,
% 13.99/9.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15556,plain,
% 13.99/9.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185))),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 13.99/9.70 tff(15557,plain,
% 13.99/9.70 (~node4(s185)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15556, 36, 15553])).
% 13.99/9.70 tff(15558,plain,
% 13.99/9.70 (succ(s184, s185) <=> succ(s184, s185)),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15559,axiom,(succ(s184, s185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound185')).
% 13.99/9.70 tff(15560,plain,
% 13.99/9.70 (succ(s184, s185)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15559, 15558])).
% 13.99/9.70 tff(15561,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15562,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15563,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 13.99/9.70 tff(15564,plain,
% 13.99/9.70 (trans(s184, s185)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15563, 15560, 52])).
% 13.99/9.70 tff(15565,plain,
% 13.99/9.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s184, s185)) | (~always3(s184)) | always3(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s184, s185)) | (~always3(s184)) | always3(s185))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15566,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s184, s185)) | (~always3(s184)) | always3(s185))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15567,plain,
% 13.99/9.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s184, s185)) | (~always3(s184)) | always3(s185)),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15566, 15565])).
% 13.99/9.70 tff(15568,plain,
% 13.99/9.70 ((~always3(s184)) | always3(s185)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15567, 125, 15564])).
% 13.99/9.70 tff(15569,plain,
% 13.99/9.70 (~always3(s184)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15568, 15553])).
% 13.99/9.70 tff(15570,plain,
% 13.99/9.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184)))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15571,plain,
% 13.99/9.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))),
% 13.99/9.70 inference(quant_inst,[status(thm)],[])).
% 13.99/9.70 tff(15572,plain,
% 13.99/9.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184))),
% 13.99/9.70 inference(modus_ponens,[status(thm)],[15571, 15570])).
% 13.99/9.70 tff(15573,plain,
% 13.99/9.70 (~node4(s184)),
% 13.99/9.70 inference(unit_resolution,[status(thm)],[15572, 36, 15569])).
% 13.99/9.70 tff(15574,plain,
% 13.99/9.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s184) | node4(s184) | (~until5(s184)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15575,plain,
% 13.99/9.70 ((node4(s184) | (~until5(s184)) | xuntil6(s184)) <=> (xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 13.99/9.70 inference(rewrite,[status(thm)],[])).
% 13.99/9.70 tff(15576,plain,
% 13.99/9.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s184) | (~until5(s184)) | xuntil6(s184))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s184) | node4(s184) | (~until5(s184))))),
% 13.99/9.70 inference(monotonicity,[status(thm)],[15575])).
% 13.99/9.70 tff(15577,plain,
% 13.99/9.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s184) | (~until5(s184)) | xuntil6(s184))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15576, 15574])).
% 13.99/9.71 tff(15578,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s184) | (~until5(s184)) | xuntil6(s184))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15579,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s184) | node4(s184) | (~until5(s184))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15578, 15577])).
% 13.99/9.71 tff(15580,plain,
% 13.99/9.71 (xuntil6(s184) | node4(s184)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15579, 294, 14862])).
% 13.99/9.71 tff(15581,plain,
% 13.99/9.71 (xuntil6(s184)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15580, 15573])).
% 13.99/9.71 tff(15582,plain,
% 13.99/9.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15583,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15584,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185)),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15583, 15582])).
% 13.99/9.71 tff(15585,plain,
% 13.99/9.71 ((~xuntil6(s184)) | until5(s185)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15584, 15560, 312])).
% 13.99/9.71 tff(15586,plain,
% 13.99/9.71 (until5(s185)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15585, 15581])).
% 13.99/9.71 tff(15587,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s185) | node4(s185) | (~until5(s185)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s185) | node4(s185) | (~until5(s185)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15588,plain,
% 13.99/9.71 ((node4(s185) | (~until5(s185)) | xuntil6(s185)) <=> (xuntil6(s185) | node4(s185) | (~until5(s185)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15589,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s185) | (~until5(s185)) | xuntil6(s185))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s185) | node4(s185) | (~until5(s185))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15588])).
% 13.99/9.71 tff(15590,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s185) | (~until5(s185)) | xuntil6(s185))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s185) | node4(s185) | (~until5(s185)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15589, 15587])).
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15592,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15591, 15590])).
% 13.99/9.71 tff(15593,plain,
% 13.99/9.71 (xuntil6(s185)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15592, 294, 15586, 15557])).
% 13.99/9.71 tff(15594,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15595,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15596,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15595, 15594])).
% 13.99/9.71 tff(15597,plain,
% 13.99/9.71 ((~xuntil6(s185)) | until5(s186)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15596, 15544, 312])).
% 13.99/9.71 tff(15598,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15597, 15593])).
% 13.99/9.71 tff(15599,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15600,plain,
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15601,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s186) | (~node4(s186))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15600, 15599])).
% 13.99/9.71 tff(15602,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15601, 36, 15541])).
% 13.99/9.71 tff(15603,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s186) | node4(s186) | (~until5(s186)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15604,plain,
% 13.99/9.71 ((node4(s186) | (~until5(s186)) | xuntil6(s186)) <=> (xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15605,plain,
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% 13.99/9.71 inference(monotonicity,[status(thm)],[15604])).
% 13.99/9.71 tff(15606,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s186) | (~until5(s186)) | xuntil6(s186))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15605, 15603])).
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15608,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15607, 15606])).
% 13.99/9.71 tff(15609,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15608, 294, 15602])).
% 13.99/9.71 tff(15610,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15609, 15598])).
% 13.99/9.71 tff(15611,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15612,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15613,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15612, 15611])).
% 13.99/9.71 tff(15614,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15613, 15532, 312])).
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15614, 15610])).
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15617, 15616])).
% 13.99/9.71 tff(15619,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15618, 36, 15529])).
% 13.99/9.71 tff(15620,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
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% 13.99/9.71 ((node4(s187) | (~until5(s187)) | xuntil6(s187)) <=> (xuntil6(s187) | node4(s187) | (~until5(s187)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
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% 13.99/9.71 inference(monotonicity,[status(thm)],[15621])).
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% 13.99/9.71 inference(transitivity,[status(thm)],[15622, 15620])).
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15625,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15624, 15623])).
% 13.99/9.71 tff(15626,plain,
% 13.99/9.71 (xuntil6(s187) | (~until5(s187))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15625, 294, 15619])).
% 13.99/9.71 tff(15627,plain,
% 13.99/9.71 (xuntil6(s187)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15626, 15615])).
% 13.99/9.71 tff(15628,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15629,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15630,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188)),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15629, 15628])).
% 13.99/9.71 tff(15631,plain,
% 13.99/9.71 ((~xuntil6(s187)) | until5(s188)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15630, 15520, 312])).
% 13.99/9.71 tff(15632,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15631, 15627])).
% 13.99/9.71 tff(15633,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15634,plain,
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15635,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15634, 15633])).
% 13.99/9.71 tff(15636,plain,
% 13.99/9.71 (~node4(s188)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15635, 36, 15517])).
% 13.99/9.71 tff(15637,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15638,plain,
% 13.99/9.71 ((node4(s188) | (~until5(s188)) | xuntil6(s188)) <=> (xuntil6(s188) | node4(s188) | (~until5(s188)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15639,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s188) | (~until5(s188)) | xuntil6(s188))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s188) | node4(s188) | (~until5(s188))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15638])).
% 13.99/9.71 tff(15640,plain,
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% 13.99/9.71 inference(transitivity,[status(thm)],[15639, 15637])).
% 13.99/9.71 tff(15641,plain,
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15642,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15641, 15640])).
% 13.99/9.71 tff(15643,plain,
% 13.99/9.71 (xuntil6(s188) | (~until5(s188))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15642, 294, 15636])).
% 13.99/9.71 tff(15644,plain,
% 13.99/9.71 (xuntil6(s188)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15643, 15632])).
% 13.99/9.71 tff(15645,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15646,plain,
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15647,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189)),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15646, 15645])).
% 13.99/9.71 tff(15648,plain,
% 13.99/9.71 ((~xuntil6(s188)) | until5(s189)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15647, 15508, 312])).
% 13.99/9.71 tff(15649,plain,
% 13.99/9.71 (until5(s189)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15648, 15644])).
% 13.99/9.71 tff(15650,plain,
% 13.99/9.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15651,plain,
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15652,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15651, 15650])).
% 13.99/9.71 tff(15653,plain,
% 13.99/9.71 (~node4(s189)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15652, 36, 15505])).
% 13.99/9.71 tff(15654,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s189) | node4(s189) | (~until5(s189)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15655,plain,
% 13.99/9.71 ((node4(s189) | (~until5(s189)) | xuntil6(s189)) <=> (xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15656,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s189) | node4(s189) | (~until5(s189))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15655])).
% 13.99/9.71 tff(15657,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15656, 15654])).
% 13.99/9.71 tff(15658,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15659,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15658, 15657])).
% 13.99/9.71 tff(15660,plain,
% 13.99/9.71 (xuntil6(s189) | (~until5(s189))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15659, 294, 15653])).
% 13.99/9.71 tff(15661,plain,
% 13.99/9.71 (xuntil6(s189)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15660, 15649])).
% 13.99/9.71 tff(15662,plain,
% 13.99/9.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15663,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15664,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190)),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15663, 15662])).
% 13.99/9.71 tff(15665,plain,
% 13.99/9.71 ((~xuntil6(s189)) | until5(s190)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15664, 15496, 312])).
% 13.99/9.71 tff(15666,plain,
% 13.99/9.71 (until5(s190)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15665, 15661])).
% 13.99/9.71 tff(15667,plain,
% 13.99/9.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15668,plain,
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15669,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15668, 15667])).
% 13.99/9.71 tff(15670,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15669, 36, 15493])).
% 13.99/9.71 tff(15671,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15672,plain,
% 13.99/9.71 ((node4(s190) | (~until5(s190)) | xuntil6(s190)) <=> (xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
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% 13.99/9.71 inference(monotonicity,[status(thm)],[15672])).
% 13.99/9.71 tff(15674,plain,
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% 13.99/9.71 inference(transitivity,[status(thm)],[15673, 15671])).
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15676,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15675, 15674])).
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15676, 294, 15670])).
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15677, 15666])).
% 13.99/9.71 tff(15679,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15680,plain,
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15680, 15679])).
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15681, 15484, 312])).
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15682, 15678])).
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 13.99/9.71 tff(15687,plain,
% 13.99/9.71 (~node4(s191)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15686, 36, 15481])).
% 13.99/9.71 tff(15688,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15689,plain,
% 13.99/9.71 ((node4(s191) | (~until5(s191)) | xuntil6(s191)) <=> (xuntil6(s191) | node4(s191) | (~until5(s191)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
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% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s191) | (~until5(s191)) | xuntil6(s191))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s191) | node4(s191) | (~until5(s191))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15689])).
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% 13.99/9.71 inference(transitivity,[status(thm)],[15690, 15688])).
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15693,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15692, 15691])).
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% 13.99/9.71 (xuntil6(s191) | (~until5(s191))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15693, 294, 15687])).
% 13.99/9.71 tff(15695,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15694, 15683])).
% 13.99/9.71 tff(15696,plain,
% 13.99/9.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15697,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15698,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192)),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15697, 15696])).
% 13.99/9.71 tff(15699,plain,
% 13.99/9.71 ((~xuntil6(s191)) | until5(s192)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15698, 15472, 312])).
% 13.99/9.71 tff(15700,plain,
% 13.99/9.71 (until5(s192)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15699, 15695])).
% 13.99/9.71 tff(15701,plain,
% 13.99/9.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15702,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15703,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 13.99/9.71 tff(15704,plain,
% 13.99/9.71 (~node4(s192)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15703, 36, 15469])).
% 13.99/9.71 tff(15705,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s192) | node4(s192) | (~until5(s192)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15706,plain,
% 13.99/9.71 ((node4(s192) | (~until5(s192)) | xuntil6(s192)) <=> (xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15707,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s192) | node4(s192) | (~until5(s192))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15706])).
% 13.99/9.71 tff(15708,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15707, 15705])).
% 13.99/9.71 tff(15709,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15710,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 13.99/9.71 tff(15711,plain,
% 13.99/9.71 (xuntil6(s192) | (~until5(s192))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15710, 294, 15704])).
% 13.99/9.71 tff(15712,plain,
% 13.99/9.71 (xuntil6(s192)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15711, 15700])).
% 13.99/9.71 tff(15713,plain,
% 13.99/9.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15714,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15715,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193)),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15714, 15713])).
% 13.99/9.71 tff(15716,plain,
% 13.99/9.71 ((~xuntil6(s192)) | until5(s193)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15715, 15460, 312])).
% 13.99/9.71 tff(15717,plain,
% 13.99/9.71 (until5(s193)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15716, 15712])).
% 13.99/9.71 tff(15718,plain,
% 13.99/9.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15719,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15720,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15719, 15718])).
% 13.99/9.71 tff(15721,plain,
% 13.99/9.71 (~node4(s193)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15720, 36, 15457])).
% 13.99/9.71 tff(15722,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s193) | node4(s193) | (~until5(s193)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15723,plain,
% 13.99/9.71 ((node4(s193) | (~until5(s193)) | xuntil6(s193)) <=> (xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15724,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s193) | node4(s193) | (~until5(s193))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15723])).
% 13.99/9.71 tff(15725,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15724, 15722])).
% 13.99/9.71 tff(15726,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15727,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15726, 15725])).
% 13.99/9.71 tff(15728,plain,
% 13.99/9.71 (xuntil6(s193) | (~until5(s193))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15727, 294, 15721])).
% 13.99/9.71 tff(15729,plain,
% 13.99/9.71 (xuntil6(s193)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15728, 15717])).
% 13.99/9.71 tff(15730,plain,
% 13.99/9.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15731,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15732,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194)),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15731, 15730])).
% 13.99/9.71 tff(15733,plain,
% 13.99/9.71 ((~xuntil6(s193)) | until5(s194)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15732, 15448, 312])).
% 13.99/9.71 tff(15734,plain,
% 13.99/9.71 (until5(s194)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15733, 15729])).
% 13.99/9.71 tff(15735,plain,
% 13.99/9.71 (~node4(s194)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[14771, 36, 15445])).
% 13.99/9.71 tff(15736,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s194) | node4(s194) | (~until5(s194)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15737,plain,
% 13.99/9.71 ((node4(s194) | (~until5(s194)) | xuntil6(s194)) <=> (xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15738,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s194) | (~until5(s194)) | xuntil6(s194))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s194) | node4(s194) | (~until5(s194))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15737])).
% 13.99/9.71 tff(15739,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s194) | (~until5(s194)) | xuntil6(s194))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15738, 15736])).
% 13.99/9.71 tff(15740,plain,
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15741,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15740, 15739])).
% 13.99/9.71 tff(15742,plain,
% 13.99/9.71 (xuntil6(s194) | (~until5(s194))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15741, 294, 15735])).
% 13.99/9.71 tff(15743,plain,
% 13.99/9.71 (xuntil6(s194)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15742, 15734])).
% 13.99/9.71 tff(15744,plain,
% 13.99/9.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15745,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15746,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195)),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15745, 15744])).
% 13.99/9.71 tff(15747,plain,
% 13.99/9.71 ((~xuntil6(s194)) | until5(s195)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15746, 14775, 312])).
% 13.99/9.71 tff(15748,plain,
% 13.99/9.71 (until5(s195)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15747, 15743])).
% 13.99/9.71 tff(15749,plain,
% 13.99/9.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15750,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15751,plain,
% 13.99/9.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15750, 15749])).
% 13.99/9.71 tff(15752,plain,
% 13.99/9.71 (~node4(s195)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15751, 36, 15444])).
% 13.99/9.71 tff(15753,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s195) | node4(s195) | (~until5(s195)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15754,plain,
% 13.99/9.71 ((node4(s195) | (~until5(s195)) | xuntil6(s195)) <=> (xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15755,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s195) | (~until5(s195)) | xuntil6(s195))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s195) | node4(s195) | (~until5(s195))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15754])).
% 13.99/9.71 tff(15756,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s195) | (~until5(s195)) | xuntil6(s195))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15755, 15753])).
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% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15758,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 13.99/9.71 tff(15759,plain,
% 13.99/9.71 (xuntil6(s195) | (~until5(s195))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15758, 294, 15752])).
% 13.99/9.71 tff(15760,plain,
% 13.99/9.71 (xuntil6(s195)),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15759, 15748])).
% 13.99/9.71 tff(15761,plain,
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% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15762,plain,
% 13.99/9.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15763,plain,
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% 13.99/9.71 inference(modus_ponens,[status(thm)],[15762, 15761])).
% 13.99/9.71 tff(15764,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15763, 15435, 312])).
% 13.99/9.71 tff(15765,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[15764, 15760])).
% 13.99/9.71 tff(15766,plain,
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% 13.99/9.71 inference(unit_resolution,[status(thm)],[14722, 36, 15432])).
% 13.99/9.71 tff(15767,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s196) | node4(s196) | (~until5(s196)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15768,plain,
% 13.99/9.71 ((node4(s196) | (~until5(s196)) | xuntil6(s196)) <=> (xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 13.99/9.71 inference(rewrite,[status(thm)],[])).
% 13.99/9.71 tff(15769,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s196) | node4(s196) | (~until5(s196))))),
% 13.99/9.71 inference(monotonicity,[status(thm)],[15768])).
% 13.99/9.71 tff(15770,plain,
% 13.99/9.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 13.99/9.71 inference(transitivity,[status(thm)],[15769, 15767])).
% 13.99/9.71 tff(15771,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))),
% 13.99/9.71 inference(quant_inst,[status(thm)],[])).
% 13.99/9.71 tff(15772,plain,
% 13.99/9.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196))),
% 13.99/9.71 inference(modus_ponens,[status(thm)],[15771, 15770])).
% 13.99/9.71 tff(15773,plain,
% 13.99/9.71 (xuntil6(s196) | (~until5(s196))),
% 13.99/9.71 inference(unit_resolution,[status(thm)],[15772, 294, 15766])).
% 13.99/9.71 tff(15774,plain,
% 13.99/9.72 (xuntil6(s196)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15773, 15765])).
% 13.99/9.72 tff(15775,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15776,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15777,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15776, 15775])).
% 13.99/9.72 tff(15778,plain,
% 13.99/9.72 ((~xuntil6(s196)) | until5(s197)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15777, 14726, 312])).
% 13.99/9.72 tff(15779,plain,
% 13.99/9.72 (until5(s197)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15778, 15774])).
% 13.99/9.72 tff(15780,plain,
% 13.99/9.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15781,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15782,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15781, 15780])).
% 13.99/9.72 tff(15783,plain,
% 13.99/9.72 (~node4(s197)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15782, 36, 15431])).
% 13.99/9.72 tff(15784,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s197) | node4(s197) | (~until5(s197)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15785,plain,
% 13.99/9.72 ((node4(s197) | (~until5(s197)) | xuntil6(s197)) <=> (xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15786,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s197) | node4(s197) | (~until5(s197))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15785])).
% 13.99/9.72 tff(15787,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15786, 15784])).
% 13.99/9.72 tff(15788,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15789,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15788, 15787])).
% 13.99/9.72 tff(15790,plain,
% 13.99/9.72 (xuntil6(s197) | (~until5(s197))),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15789, 294, 15783])).
% 13.99/9.72 tff(15791,plain,
% 13.99/9.72 (xuntil6(s197)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15790, 15779])).
% 13.99/9.72 tff(15792,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15793,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15794,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 13.99/9.72 tff(15795,plain,
% 13.99/9.72 ((~xuntil6(s197)) | until5(s198)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15794, 15422, 312])).
% 13.99/9.72 tff(15796,plain,
% 13.99/9.72 (until5(s198)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15795, 15791])).
% 13.99/9.72 tff(15797,plain,
% 13.99/9.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15798,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15799,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15798, 15797])).
% 13.99/9.72 tff(15800,plain,
% 13.99/9.72 (~node4(s198)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15799, 36, 15419])).
% 13.99/9.72 tff(15801,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s198) | node4(s198) | (~until5(s198)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15802,plain,
% 13.99/9.72 ((node4(s198) | (~until5(s198)) | xuntil6(s198)) <=> (xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15803,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s198) | node4(s198) | (~until5(s198))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15802])).
% 13.99/9.72 tff(15804,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15803, 15801])).
% 13.99/9.72 tff(15805,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15806,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15805, 15804])).
% 13.99/9.72 tff(15807,plain,
% 13.99/9.72 (xuntil6(s198) | (~until5(s198))),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15806, 294, 15800])).
% 13.99/9.72 tff(15808,plain,
% 13.99/9.72 (xuntil6(s198)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15807, 15796])).
% 13.99/9.72 tff(15809,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15810,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15811,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15810, 15809])).
% 13.99/9.72 tff(15812,plain,
% 13.99/9.72 ((~xuntil6(s198)) | until5(s199)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15811, 15410, 312])).
% 13.99/9.72 tff(15813,plain,
% 13.99/9.72 (until5(s199)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15812, 15808])).
% 13.99/9.72 tff(15814,plain,
% 13.99/9.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15815,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15816,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15815, 15814])).
% 13.99/9.72 tff(15817,plain,
% 13.99/9.72 (~node4(s199)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15816, 36, 15407])).
% 13.99/9.72 tff(15818,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s199) | node4(s199) | (~until5(s199)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15819,plain,
% 13.99/9.72 ((node4(s199) | (~until5(s199)) | xuntil6(s199)) <=> (xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15820,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s199) | (~until5(s199)) | xuntil6(s199))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s199) | node4(s199) | (~until5(s199))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15819])).
% 13.99/9.72 tff(15821,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s199) | (~until5(s199)) | xuntil6(s199))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15820, 15818])).
% 13.99/9.72 tff(15822,plain,
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% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15823,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15822, 15821])).
% 13.99/9.72 tff(15824,plain,
% 13.99/9.72 (xuntil6(s199) | (~until5(s199))),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15823, 294, 15817])).
% 13.99/9.72 tff(15825,plain,
% 13.99/9.72 (xuntil6(s199)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15824, 15813])).
% 13.99/9.72 tff(15826,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15827,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15828,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15827, 15826])).
% 13.99/9.72 tff(15829,plain,
% 13.99/9.72 ((~xuntil6(s199)) | until5(s200)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15828, 15398, 312])).
% 13.99/9.72 tff(15830,plain,
% 13.99/9.72 (until5(s200)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15829, 15825])).
% 13.99/9.72 tff(15831,plain,
% 13.99/9.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s200) | (~node4(s200)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s200) | (~node4(s200)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15832,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s200) | (~node4(s200)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15833,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s200) | (~node4(s200))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15832, 15831])).
% 13.99/9.72 tff(15834,plain,
% 13.99/9.72 (~node4(s200)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15833, 36, 15395])).
% 13.99/9.72 tff(15835,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s200) | node4(s200) | (~until5(s200)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s200) | node4(s200) | (~until5(s200)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15836,plain,
% 13.99/9.72 ((node4(s200) | (~until5(s200)) | xuntil6(s200)) <=> (xuntil6(s200) | node4(s200) | (~until5(s200)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15837,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s200) | (~until5(s200)) | xuntil6(s200))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s200) | node4(s200) | (~until5(s200))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15836])).
% 13.99/9.72 tff(15838,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s200) | (~until5(s200)) | xuntil6(s200))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s200) | node4(s200) | (~until5(s200)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15837, 15835])).
% 13.99/9.72 tff(15839,plain,
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% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15840,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s200) | node4(s200) | (~until5(s200))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 13.99/9.72 tff(15841,plain,
% 13.99/9.72 (xuntil6(s200) | (~until5(s200))),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15840, 294, 15834])).
% 13.99/9.72 tff(15842,plain,
% 13.99/9.72 (xuntil6(s200)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15841, 15830])).
% 13.99/9.72 tff(15843,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15844,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15845,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15844, 15843])).
% 13.99/9.72 tff(15846,plain,
% 13.99/9.72 ((~xuntil6(s200)) | until5(s201)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15845, 15386, 312])).
% 13.99/9.72 tff(15847,plain,
% 13.99/9.72 (until5(s201)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15846, 15842])).
% 13.99/9.72 tff(15848,plain,
% 13.99/9.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s201) | (~node4(s201)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s201) | (~node4(s201)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15849,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s201) | (~node4(s201)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15850,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s201) | (~node4(s201))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15849, 15848])).
% 13.99/9.72 tff(15851,plain,
% 13.99/9.72 (~node4(s201)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15850, 36, 15383])).
% 13.99/9.72 tff(15852,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s201) | node4(s201) | (~until5(s201)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s201) | node4(s201) | (~until5(s201)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15853,plain,
% 13.99/9.72 ((node4(s201) | (~until5(s201)) | xuntil6(s201)) <=> (xuntil6(s201) | node4(s201) | (~until5(s201)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15854,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s201) | (~until5(s201)) | xuntil6(s201))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s201) | node4(s201) | (~until5(s201))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15853])).
% 13.99/9.72 tff(15855,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s201) | (~until5(s201)) | xuntil6(s201))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s201) | node4(s201) | (~until5(s201)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15854, 15852])).
% 13.99/9.72 tff(15856,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s201) | (~until5(s201)) | xuntil6(s201))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15857,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s201) | node4(s201) | (~until5(s201))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15856, 15855])).
% 13.99/9.72 tff(15858,plain,
% 13.99/9.72 (xuntil6(s201) | (~until5(s201))),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15857, 294, 15851])).
% 13.99/9.72 tff(15859,plain,
% 13.99/9.72 (xuntil6(s201)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15858, 15847])).
% 13.99/9.72 tff(15860,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15861,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15862,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15861, 15860])).
% 13.99/9.72 tff(15863,plain,
% 13.99/9.72 ((~xuntil6(s201)) | until5(s202)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15862, 15374, 312])).
% 13.99/9.72 tff(15864,plain,
% 13.99/9.72 (until5(s202)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15863, 15859])).
% 13.99/9.72 tff(15865,plain,
% 13.99/9.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s202) | (~node4(s202)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s202) | (~node4(s202)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15866,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s202) | (~node4(s202)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15867,plain,
% 13.99/9.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s202) | (~node4(s202))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15866, 15865])).
% 13.99/9.72 tff(15868,plain,
% 13.99/9.72 (~node4(s202)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15867, 36, 15371])).
% 13.99/9.72 tff(15869,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s202) | node4(s202) | (~until5(s202)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15870,plain,
% 13.99/9.72 ((node4(s202) | (~until5(s202)) | xuntil6(s202)) <=> (xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15871,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s202) | node4(s202) | (~until5(s202))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15870])).
% 13.99/9.72 tff(15872,plain,
% 13.99/9.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15871, 15869])).
% 13.99/9.72 tff(15873,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15874,plain,
% 13.99/9.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15873, 15872])).
% 13.99/9.72 tff(15875,plain,
% 13.99/9.72 (xuntil6(s202) | (~until5(s202))),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15874, 294, 15868])).
% 13.99/9.72 tff(15876,plain,
% 13.99/9.72 ($false),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15875, 15864, 15362])).
% 13.99/9.72 tff(15877,plain,(always3(s220) | (~until5(s184)) | xuntil6(s220)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.72 tff(15878,plain,
% 13.99/9.72 (always3(s220)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15877, 14714, 14862])).
% 13.99/9.72 tff(15879,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s220)) | (~m_main_v_state(s220, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s220)) | (~m_main_v_state(s220, c_busy)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15880,plain,
% 13.99/9.72 (((~m_main_v_state(s220, c_busy)) | (~always3(s220))) <=> ((~always3(s220)) | (~m_main_v_state(s220, c_busy)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15881,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s220, c_busy)) | (~always3(s220)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s220)) | (~m_main_v_state(s220, c_busy))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15880])).
% 13.99/9.72 tff(15882,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s220, c_busy)) | (~always3(s220)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s220)) | (~m_main_v_state(s220, c_busy)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15881, 15879])).
% 13.99/9.72 tff(15883,plain,
% 13.99/9.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s220, c_busy)) | (~always3(s220)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15884,plain,
% 13.99/9.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s220)) | (~m_main_v_state(s220, c_busy))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 13.99/9.72 tff(15885,plain,
% 13.99/9.72 (~m_main_v_state(s220, c_busy)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15884, 85, 15878])).
% 13.99/9.72 tff(15886,plain,
% 13.99/9.72 (succ(s220, s221) <=> succ(s220, s221)),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15887,axiom,(succ(s220, s221)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound221')).
% 13.99/9.72 tff(15888,plain,
% 13.99/9.72 (succ(s220, s221)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 13.99/9.72 tff(15889,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15890,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15891,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15890, 15889])).
% 13.99/9.72 tff(15892,plain,
% 13.99/9.72 (trans(s220, s221)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15891, 15888, 52])).
% 13.99/9.72 tff(15893,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s220, s221)) | (~always3(s220)) | always3(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s220, s221)) | (~always3(s220)) | always3(s221))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15894,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s220, s221)) | (~always3(s220)) | always3(s221))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15895,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s220, s221)) | (~always3(s220)) | always3(s221)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 13.99/9.72 tff(15896,plain,
% 13.99/9.72 ((~always3(s220)) | always3(s221)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15895, 125, 15892])).
% 13.99/9.72 tff(15897,plain,
% 13.99/9.72 (always3(s221)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15896, 15878])).
% 13.99/9.72 tff(15898,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s221)) | (~m_main_v_state(s221, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s221)) | (~m_main_v_state(s221, c_busy)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15899,plain,
% 13.99/9.72 (((~m_main_v_state(s221, c_busy)) | (~always3(s221))) <=> ((~always3(s221)) | (~m_main_v_state(s221, c_busy)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15900,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s221, c_busy)) | (~always3(s221)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s221)) | (~m_main_v_state(s221, c_busy))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15899])).
% 13.99/9.72 tff(15901,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s221, c_busy)) | (~always3(s221)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s221)) | (~m_main_v_state(s221, c_busy)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15900, 15898])).
% 13.99/9.72 tff(15902,plain,
% 13.99/9.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s221, c_busy)) | (~always3(s221)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15903,plain,
% 13.99/9.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s221)) | (~m_main_v_state(s221, c_busy))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15902, 15901])).
% 13.99/9.72 tff(15904,plain,
% 13.99/9.72 (~m_main_v_state(s221, c_busy)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15903, 85, 15897])).
% 13.99/9.72 tff(15905,plain,
% 13.99/9.72 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15906,plain,
% 13.99/9.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15907,plain,
% 13.99/9.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15906, 15905])).
% 13.99/9.72 tff(15908,plain,
% 13.99/9.72 (m_main_v_state(s220, c_ready)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15907, 102, 15885])).
% 13.99/9.72 tff(15909,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s220, s221)) | node2(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s220, s221)) | node2(s220, s221))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15910,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s220, s221)) | node2(s220, s221))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15911,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s220, s221)) | node2(s220, s221)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15910, 15909])).
% 13.99/9.72 tff(15912,plain,
% 13.99/9.72 (node2(s220, s221)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15911, 7, 15892])).
% 13.99/9.72 tff(15913,plain,
% 13.99/9.72 (((~![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(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15914,plain,
% 13.99/9.72 ((~![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(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15915,plain,
% 13.99/9.72 ((~![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(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15914, 15913])).
% 13.99/9.72 tff(15916,plain,
% 13.99/9.72 ((~m_main_v_state(s220, c_ready)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220))),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15915, 73, 15912])).
% 13.99/9.72 tff(15917,plain,
% 13.99/9.72 (~m_main_v_request(s220)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15916, 15908, 15904])).
% 13.99/9.72 tff(15918,plain,
% 13.99/9.72 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s220) | (~node4(s220)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s220) | (~node4(s220)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15919,plain,
% 13.99/9.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s220) | (~node4(s220)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15920,plain,
% 13.99/9.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s220) | (~node4(s220))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15919, 15918])).
% 13.99/9.72 tff(15921,plain,
% 13.99/9.72 (~node4(s220)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15920, 21, 15917])).
% 13.99/9.72 tff(15922,plain,
% 13.99/9.72 (~until5(s220)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[14891, 15921])).
% 13.99/9.72 tff(15923,plain,
% 13.99/9.72 (~xuntil6(s219)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[14896, 15922])).
% 13.99/9.72 tff(15924,assumption,(until5(s219)), introduced(assumption)).
% 13.99/9.72 tff(15925,plain,
% 13.99/9.72 (xuntil6(s219) | node4(s219)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[14903, 294, 15924])).
% 13.99/9.72 tff(15926,plain,
% 13.99/9.72 (node4(s219)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15925, 15923])).
% 13.99/9.72 tff(15927,plain,
% 13.99/9.72 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s219) | (~node4(s219)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s219) | (~node4(s219)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15928,plain,
% 13.99/9.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s219) | (~node4(s219)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15929,plain,
% 13.99/9.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s219) | (~node4(s219))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 13.99/9.72 tff(15930,plain,
% 13.99/9.72 (m_main_v_request(s219)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15929, 21, 15926])).
% 13.99/9.72 tff(15931,plain,
% 13.99/9.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s219, s220)) | node2(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s219, s220)) | node2(s219, s220))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15932,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s219, s220)) | node2(s219, s220))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15933,plain,
% 13.99/9.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s219, s220)) | node2(s219, s220)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 13.99/9.72 tff(15934,plain,
% 13.99/9.72 (node2(s219, s220)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15933, 7, 14871])).
% 13.99/9.72 tff(15935,plain,
% 13.99/9.72 (((~![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(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15936,plain,
% 13.99/9.72 ((~![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(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15937,plain,
% 13.99/9.72 ((~![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(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 13.99/9.72 tff(15938,plain,
% 13.99/9.72 ((~m_main_v_state(s219, c_ready)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219))),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15937, 73, 15934])).
% 13.99/9.72 tff(15939,plain,
% 13.99/9.72 (~m_main_v_state(s219, c_ready)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15938, 15930, 15885])).
% 13.99/9.72 tff(15940,plain,
% 13.99/9.72 (always3(s219)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[14879, 36, 15926])).
% 13.99/9.72 tff(15941,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s219)) | (~m_main_v_state(s219, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s219)) | (~m_main_v_state(s219, c_busy)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15942,plain,
% 13.99/9.72 (((~m_main_v_state(s219, c_busy)) | (~always3(s219))) <=> ((~always3(s219)) | (~m_main_v_state(s219, c_busy)))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15943,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s219, c_busy)) | (~always3(s219)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s219)) | (~m_main_v_state(s219, c_busy))))),
% 13.99/9.72 inference(monotonicity,[status(thm)],[15942])).
% 13.99/9.72 tff(15944,plain,
% 13.99/9.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s219, c_busy)) | (~always3(s219)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s219)) | (~m_main_v_state(s219, c_busy)))),
% 13.99/9.72 inference(transitivity,[status(thm)],[15943, 15941])).
% 13.99/9.72 tff(15945,plain,
% 13.99/9.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s219, c_busy)) | (~always3(s219)))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15946,plain,
% 13.99/9.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s219)) | (~m_main_v_state(s219, c_busy))),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15945, 15944])).
% 13.99/9.72 tff(15947,plain,
% 13.99/9.72 (~m_main_v_state(s219, c_busy)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15946, 85, 15940])).
% 13.99/9.72 tff(15948,plain,
% 13.99/9.72 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready))),
% 13.99/9.72 inference(rewrite,[status(thm)],[])).
% 13.99/9.72 tff(15949,plain,
% 13.99/9.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready))),
% 13.99/9.72 inference(quant_inst,[status(thm)],[])).
% 13.99/9.72 tff(15950,plain,
% 13.99/9.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready)),
% 13.99/9.72 inference(modus_ponens,[status(thm)],[15949, 15948])).
% 13.99/9.72 tff(15951,plain,
% 13.99/9.72 ($false),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15950, 102, 15947, 15939])).
% 13.99/9.72 tff(15952,plain,(xuntil6(s220) | (~until5(s219)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 13.99/9.72 tff(15953,plain,
% 13.99/9.72 (~until5(s219)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[15952, 14862, 14714])).
% 13.99/9.72 tff(15954,plain,
% 13.99/9.72 (~xuntil6(s218)),
% 13.99/9.72 inference(unit_resolution,[status(thm)],[14911, 15953])).
% 13.99/9.72 tff(15955,assumption,(node4(s218)), introduced(assumption)).
% 13.99/9.72 tff(15956,plain,
% 13.99/9.72 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s218) | (~node4(s218)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s218) | (~node4(s218)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(15957,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s218) | (~node4(s218)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(15958,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s218) | (~node4(s218))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[15957, 15956])).
% 13.99/9.73 tff(15959,plain,
% 13.99/9.73 (m_main_v_request(s218)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15958, 21, 15955])).
% 13.99/9.73 tff(15960,plain,
% 13.99/9.73 (always3(s218)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14924, 36, 15955])).
% 13.99/9.73 tff(15961,plain,
% 13.99/9.73 (always3(s219)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14920, 15960])).
% 13.99/9.73 tff(15962,plain,
% 13.99/9.73 (~m_main_v_state(s219, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15946, 85, 15961])).
% 13.99/9.73 tff(15963,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s218, s219)) | node2(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s218, s219)) | node2(s218, s219))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(15964,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s218, s219)) | node2(s218, s219))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(15965,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s218, s219)) | node2(s218, s219)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 13.99/9.73 tff(15966,plain,
% 13.99/9.73 (node2(s218, s219)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15965, 7, 14916])).
% 13.99/9.73 tff(15967,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(15968,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(15969,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[15968, 15967])).
% 13.99/9.73 tff(15970,plain,
% 13.99/9.73 ((~m_main_v_state(s218, c_ready)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15969, 73, 15966])).
% 13.99/9.73 tff(15971,plain,
% 13.99/9.73 (~m_main_v_state(s218, c_ready)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15970, 15962, 15959])).
% 13.99/9.73 tff(15972,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s218)) | (~m_main_v_state(s218, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s218)) | (~m_main_v_state(s218, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(15973,plain,
% 13.99/9.73 (((~m_main_v_state(s218, c_busy)) | (~always3(s218))) <=> ((~always3(s218)) | (~m_main_v_state(s218, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(15974,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s218, c_busy)) | (~always3(s218)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s218)) | (~m_main_v_state(s218, c_busy))))),
% 13.99/9.73 inference(monotonicity,[status(thm)],[15973])).
% 13.99/9.73 tff(15975,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s218, c_busy)) | (~always3(s218)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s218)) | (~m_main_v_state(s218, c_busy)))),
% 13.99/9.73 inference(transitivity,[status(thm)],[15974, 15972])).
% 13.99/9.73 tff(15976,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s218, c_busy)) | (~always3(s218)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(15977,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s218)) | (~m_main_v_state(s218, c_busy))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[15976, 15975])).
% 13.99/9.73 tff(15978,plain,
% 13.99/9.73 (~m_main_v_state(s218, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15977, 85, 15960])).
% 13.99/9.73 tff(15979,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(15980,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(15981,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 13.99/9.73 tff(15982,plain,
% 13.99/9.73 ($false),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15981, 102, 15978, 15971])).
% 13.99/9.73 tff(15983,plain,(~node4(s218)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.73 tff(15984,plain,
% 13.99/9.73 (xuntil6(s218) | (~until5(s218))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14931, 294, 15983])).
% 13.99/9.73 tff(15985,plain,
% 13.99/9.73 (~until5(s218)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15984, 15954])).
% 13.99/9.73 tff(15986,plain,
% 13.99/9.73 (~xuntil6(s217)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14940, 15985])).
% 13.99/9.73 tff(15987,assumption,(node4(s217)), introduced(assumption)).
% 13.99/9.73 tff(15988,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s217) | (~node4(s217)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s217) | (~node4(s217)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(15989,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s217) | (~node4(s217)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(15990,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s217) | (~node4(s217))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 13.99/9.73 tff(15991,plain,
% 13.99/9.73 (m_main_v_request(s217)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15990, 21, 15987])).
% 13.99/9.73 tff(15992,plain,
% 13.99/9.73 (always3(s217)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14953, 36, 15987])).
% 13.99/9.73 tff(15993,plain,
% 13.99/9.73 (always3(s218)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14949, 15992])).
% 13.99/9.73 tff(15994,plain,
% 13.99/9.73 (~m_main_v_state(s218, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15977, 85, 15993])).
% 13.99/9.73 tff(15995,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s217, s218)) | node2(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s217, s218)) | node2(s217, s218))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(15996,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s217, s218)) | node2(s217, s218))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(15997,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s217, s218)) | node2(s217, s218)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 13.99/9.73 tff(15998,plain,
% 13.99/9.73 (node2(s217, s218)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15997, 7, 14945])).
% 13.99/9.73 tff(15999,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16000,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16001,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 13.99/9.73 tff(16002,plain,
% 13.99/9.73 ((~m_main_v_state(s217, c_ready)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16001, 73, 15998])).
% 13.99/9.73 tff(16003,plain,
% 13.99/9.73 (~m_main_v_state(s217, c_ready)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16002, 15994, 15991])).
% 13.99/9.73 tff(16004,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s217)) | (~m_main_v_state(s217, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s217)) | (~m_main_v_state(s217, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16005,plain,
% 13.99/9.73 (((~m_main_v_state(s217, c_busy)) | (~always3(s217))) <=> ((~always3(s217)) | (~m_main_v_state(s217, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16006,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s217, c_busy)) | (~always3(s217)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s217)) | (~m_main_v_state(s217, c_busy))))),
% 13.99/9.73 inference(monotonicity,[status(thm)],[16005])).
% 13.99/9.73 tff(16007,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s217, c_busy)) | (~always3(s217)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s217)) | (~m_main_v_state(s217, c_busy)))),
% 13.99/9.73 inference(transitivity,[status(thm)],[16006, 16004])).
% 13.99/9.73 tff(16008,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s217, c_busy)) | (~always3(s217)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16009,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s217)) | (~m_main_v_state(s217, c_busy))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16008, 16007])).
% 13.99/9.73 tff(16010,plain,
% 13.99/9.73 (~m_main_v_state(s217, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16009, 85, 15992])).
% 13.99/9.73 tff(16011,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16012,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16013,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 13.99/9.73 tff(16014,plain,
% 13.99/9.73 ($false),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16013, 102, 16010, 16003])).
% 13.99/9.73 tff(16015,plain,(~node4(s217)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.73 tff(16016,plain,
% 13.99/9.73 (xuntil6(s217) | (~until5(s217))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14960, 294, 16015])).
% 13.99/9.73 tff(16017,plain,
% 13.99/9.73 (~until5(s217)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16016, 15986])).
% 13.99/9.73 tff(16018,plain,
% 13.99/9.73 (~xuntil6(s216)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14969, 16017])).
% 13.99/9.73 tff(16019,assumption,(~xuntil6(s216)), introduced(assumption)).
% 13.99/9.73 tff(16020,assumption,(until5(s215)), introduced(assumption)).
% 13.99/9.73 tff(16021,assumption,(~always3(s216)), introduced(assumption)).
% 13.99/9.73 tff(16022,plain,
% 13.99/9.73 (~node4(s216)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14982, 36, 16021])).
% 13.99/9.73 tff(16023,plain,
% 13.99/9.73 (node4(s216) | (~until5(s216))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14989, 294, 16019])).
% 13.99/9.73 tff(16024,plain,
% 13.99/9.73 (~until5(s216)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16023, 16022])).
% 13.99/9.73 tff(16025,plain,
% 13.99/9.73 (~always3(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15007, 16021])).
% 13.99/9.73 tff(16026,plain,
% 13.99/9.73 (~node4(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15011, 36, 16025])).
% 13.99/9.73 tff(16027,plain,
% 13.99/9.73 (xuntil6(s215) | node4(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15018, 294, 16020])).
% 13.99/9.73 tff(16028,plain,
% 13.99/9.73 (xuntil6(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16027, 16026])).
% 13.99/9.73 tff(16029,plain,
% 13.99/9.73 ($false),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14998, 16028, 16024])).
% 13.99/9.73 tff(16030,plain,(always3(s216) | (~until5(s215)) | xuntil6(s216)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.73 tff(16031,plain,
% 13.99/9.73 (always3(s216)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16030, 16020, 16019])).
% 13.99/9.73 tff(16032,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s216)) | (~m_main_v_state(s216, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s216)) | (~m_main_v_state(s216, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16033,plain,
% 13.99/9.73 (((~m_main_v_state(s216, c_busy)) | (~always3(s216))) <=> ((~always3(s216)) | (~m_main_v_state(s216, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16034,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s216, c_busy)) | (~always3(s216)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s216)) | (~m_main_v_state(s216, c_busy))))),
% 13.99/9.73 inference(monotonicity,[status(thm)],[16033])).
% 13.99/9.73 tff(16035,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s216, c_busy)) | (~always3(s216)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s216)) | (~m_main_v_state(s216, c_busy)))),
% 13.99/9.73 inference(transitivity,[status(thm)],[16034, 16032])).
% 13.99/9.73 tff(16036,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s216, c_busy)) | (~always3(s216)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16037,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s216)) | (~m_main_v_state(s216, c_busy))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16036, 16035])).
% 13.99/9.73 tff(16038,plain,
% 13.99/9.73 (~m_main_v_state(s216, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16037, 85, 16031])).
% 13.99/9.73 tff(16039,plain,
% 13.99/9.73 (always3(s217)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14978, 16031])).
% 13.99/9.73 tff(16040,plain,
% 13.99/9.73 (~m_main_v_state(s217, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16009, 85, 16039])).
% 13.99/9.73 tff(16041,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16042,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16043,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16042, 16041])).
% 13.99/9.73 tff(16044,plain,
% 13.99/9.73 (m_main_v_state(s216, c_ready)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16043, 102, 16038])).
% 13.99/9.73 tff(16045,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s216, s217)) | node2(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s216, s217)) | node2(s216, s217))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16046,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s216, s217)) | node2(s216, s217))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16047,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s216, s217)) | node2(s216, s217)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16046, 16045])).
% 13.99/9.73 tff(16048,plain,
% 13.99/9.73 (node2(s216, s217)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16047, 7, 14974])).
% 13.99/9.73 tff(16049,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16050,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16051,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16050, 16049])).
% 13.99/9.73 tff(16052,plain,
% 13.99/9.73 ((~m_main_v_state(s216, c_ready)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16051, 73, 16048])).
% 13.99/9.73 tff(16053,plain,
% 13.99/9.73 (~m_main_v_request(s216)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16052, 16044, 16040])).
% 13.99/9.73 tff(16054,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s216) | (~node4(s216)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s216) | (~node4(s216)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16055,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s216) | (~node4(s216)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16056,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s216) | (~node4(s216))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16055, 16054])).
% 13.99/9.73 tff(16057,plain,
% 13.99/9.73 (~node4(s216)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16056, 21, 16053])).
% 13.99/9.73 tff(16058,plain,
% 13.99/9.73 (~until5(s216)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16023, 16057])).
% 13.99/9.73 tff(16059,plain,
% 13.99/9.73 (~xuntil6(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[14998, 16058])).
% 13.99/9.73 tff(16060,plain,
% 13.99/9.73 (node4(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16027, 16059])).
% 13.99/9.73 tff(16061,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s215) | (~node4(s215)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s215) | (~node4(s215)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16062,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s215) | (~node4(s215)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16063,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s215) | (~node4(s215))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16062, 16061])).
% 13.99/9.73 tff(16064,plain,
% 13.99/9.73 (m_main_v_request(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16063, 21, 16060])).
% 13.99/9.73 tff(16065,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s215, s216)) | node2(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s215, s216)) | node2(s215, s216))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16066,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s215, s216)) | node2(s215, s216))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16067,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s215, s216)) | node2(s215, s216)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16066, 16065])).
% 13.99/9.73 tff(16068,plain,
% 13.99/9.73 (node2(s215, s216)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16067, 7, 15003])).
% 13.99/9.73 tff(16069,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16070,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16071,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16070, 16069])).
% 13.99/9.73 tff(16072,plain,
% 13.99/9.73 ((~m_main_v_state(s215, c_ready)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16071, 73, 16068])).
% 13.99/9.73 tff(16073,plain,
% 13.99/9.73 (~m_main_v_state(s215, c_ready)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16072, 16064, 16038])).
% 13.99/9.73 tff(16074,plain,
% 13.99/9.73 (always3(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15011, 36, 16060])).
% 13.99/9.73 tff(16075,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s215)) | (~m_main_v_state(s215, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s215)) | (~m_main_v_state(s215, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16076,plain,
% 13.99/9.73 (((~m_main_v_state(s215, c_busy)) | (~always3(s215))) <=> ((~always3(s215)) | (~m_main_v_state(s215, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16077,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s215, c_busy)) | (~always3(s215)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s215)) | (~m_main_v_state(s215, c_busy))))),
% 13.99/9.73 inference(monotonicity,[status(thm)],[16076])).
% 13.99/9.73 tff(16078,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s215, c_busy)) | (~always3(s215)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s215)) | (~m_main_v_state(s215, c_busy)))),
% 13.99/9.73 inference(transitivity,[status(thm)],[16077, 16075])).
% 13.99/9.73 tff(16079,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s215, c_busy)) | (~always3(s215)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16080,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s215)) | (~m_main_v_state(s215, c_busy))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16079, 16078])).
% 13.99/9.73 tff(16081,plain,
% 13.99/9.73 (~m_main_v_state(s215, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16080, 85, 16074])).
% 13.99/9.73 tff(16082,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16083,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16084,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16083, 16082])).
% 13.99/9.73 tff(16085,plain,
% 13.99/9.73 ($false),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16084, 102, 16081, 16073])).
% 13.99/9.73 tff(16086,plain,((~until5(s215)) | xuntil6(s216)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.73 tff(16087,plain,
% 13.99/9.73 (~until5(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16086, 16018])).
% 13.99/9.73 tff(16088,plain,
% 13.99/9.73 (~xuntil6(s214)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15027, 16087])).
% 13.99/9.73 tff(16089,assumption,(node4(s214)), introduced(assumption)).
% 13.99/9.73 tff(16090,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s214) | (~node4(s214)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s214) | (~node4(s214)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16091,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s214) | (~node4(s214)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16092,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s214) | (~node4(s214))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16091, 16090])).
% 13.99/9.73 tff(16093,plain,
% 13.99/9.73 (m_main_v_request(s214)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16092, 21, 16089])).
% 13.99/9.73 tff(16094,plain,
% 13.99/9.73 (always3(s214)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15040, 36, 16089])).
% 13.99/9.73 tff(16095,plain,
% 13.99/9.73 (always3(s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15036, 16094])).
% 13.99/9.73 tff(16096,plain,
% 13.99/9.73 (~m_main_v_state(s215, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16080, 85, 16095])).
% 13.99/9.73 tff(16097,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s214, s215)) | node2(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s214, s215)) | node2(s214, s215))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16098,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s214, s215)) | node2(s214, s215))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16099,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s214, s215)) | node2(s214, s215)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16098, 16097])).
% 13.99/9.73 tff(16100,plain,
% 13.99/9.73 (node2(s214, s215)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16099, 7, 15032])).
% 13.99/9.73 tff(16101,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16102,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16103,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 13.99/9.73 tff(16104,plain,
% 13.99/9.73 ((~m_main_v_state(s214, c_ready)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16103, 73, 16100])).
% 13.99/9.73 tff(16105,plain,
% 13.99/9.73 (~m_main_v_state(s214, c_ready)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16104, 16096, 16093])).
% 13.99/9.73 tff(16106,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s214)) | (~m_main_v_state(s214, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s214)) | (~m_main_v_state(s214, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16107,plain,
% 13.99/9.73 (((~m_main_v_state(s214, c_busy)) | (~always3(s214))) <=> ((~always3(s214)) | (~m_main_v_state(s214, c_busy)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16108,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s214, c_busy)) | (~always3(s214)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s214)) | (~m_main_v_state(s214, c_busy))))),
% 13.99/9.73 inference(monotonicity,[status(thm)],[16107])).
% 13.99/9.73 tff(16109,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s214, c_busy)) | (~always3(s214)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s214)) | (~m_main_v_state(s214, c_busy)))),
% 13.99/9.73 inference(transitivity,[status(thm)],[16108, 16106])).
% 13.99/9.73 tff(16110,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s214, c_busy)) | (~always3(s214)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16111,plain,
% 13.99/9.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s214)) | (~m_main_v_state(s214, c_busy))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 13.99/9.73 tff(16112,plain,
% 13.99/9.73 (~m_main_v_state(s214, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16111, 85, 16094])).
% 13.99/9.73 tff(16113,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16114,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16115,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 13.99/9.73 tff(16116,plain,
% 13.99/9.73 ($false),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16115, 102, 16112, 16105])).
% 13.99/9.73 tff(16117,plain,(~node4(s214)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.73 tff(16118,plain,
% 13.99/9.73 (xuntil6(s214) | (~until5(s214))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15047, 294, 16117])).
% 13.99/9.73 tff(16119,plain,
% 13.99/9.73 (~until5(s214)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16118, 16088])).
% 13.99/9.73 tff(16120,plain,
% 13.99/9.73 (~xuntil6(s213)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15056, 16119])).
% 13.99/9.73 tff(16121,assumption,(node4(s213)), introduced(assumption)).
% 13.99/9.73 tff(16122,plain,
% 13.99/9.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s213) | (~node4(s213)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s213) | (~node4(s213)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16123,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s213) | (~node4(s213)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16124,plain,
% 13.99/9.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s213) | (~node4(s213))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16123, 16122])).
% 13.99/9.73 tff(16125,plain,
% 13.99/9.73 (m_main_v_request(s213)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16124, 21, 16121])).
% 13.99/9.73 tff(16126,plain,
% 13.99/9.73 (always3(s213)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15069, 36, 16121])).
% 13.99/9.73 tff(16127,plain,
% 13.99/9.73 (always3(s214)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[15065, 16126])).
% 13.99/9.73 tff(16128,plain,
% 13.99/9.73 (~m_main_v_state(s214, c_busy)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16111, 85, 16127])).
% 13.99/9.73 tff(16129,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s213, s214)) | node2(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s213, s214)) | node2(s213, s214))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16130,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s213, s214)) | node2(s213, s214))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16131,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s213, s214)) | node2(s213, s214)),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16130, 16129])).
% 13.99/9.73 tff(16132,plain,
% 13.99/9.73 (node2(s213, s214)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16131, 7, 15061])).
% 13.99/9.73 tff(16133,plain,
% 13.99/9.73 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213)))),
% 13.99/9.73 inference(rewrite,[status(thm)],[])).
% 13.99/9.73 tff(16134,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213)))),
% 13.99/9.73 inference(quant_inst,[status(thm)],[])).
% 13.99/9.73 tff(16135,plain,
% 13.99/9.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213))),
% 13.99/9.73 inference(modus_ponens,[status(thm)],[16134, 16133])).
% 13.99/9.73 tff(16136,plain,
% 13.99/9.73 ((~m_main_v_state(s213, c_ready)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213))),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16135, 73, 16132])).
% 13.99/9.73 tff(16137,plain,
% 13.99/9.73 (~m_main_v_state(s213, c_ready)),
% 13.99/9.73 inference(unit_resolution,[status(thm)],[16136, 16128, 16125])).
% 13.99/9.73 tff(16138,plain,
% 13.99/9.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s213)) | (~m_main_v_state(s213, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s213)) | (~m_main_v_state(s213, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16139,plain,
% 13.99/9.74 (((~m_main_v_state(s213, c_busy)) | (~always3(s213))) <=> ((~always3(s213)) | (~m_main_v_state(s213, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16140,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s213, c_busy)) | (~always3(s213)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s213)) | (~m_main_v_state(s213, c_busy))))),
% 13.99/9.74 inference(monotonicity,[status(thm)],[16139])).
% 13.99/9.74 tff(16141,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s213, c_busy)) | (~always3(s213)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s213)) | (~m_main_v_state(s213, c_busy)))),
% 13.99/9.74 inference(transitivity,[status(thm)],[16140, 16138])).
% 13.99/9.74 tff(16142,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s213, c_busy)) | (~always3(s213)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16143,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s213)) | (~m_main_v_state(s213, c_busy))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 13.99/9.74 tff(16144,plain,
% 13.99/9.74 (~m_main_v_state(s213, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16143, 85, 16126])).
% 13.99/9.74 tff(16145,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s213, c_busy) | m_main_v_state(s213, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s213, c_busy) | m_main_v_state(s213, c_ready))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16146,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s213, c_busy) | m_main_v_state(s213, c_ready))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16147,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s213, c_busy) | m_main_v_state(s213, c_ready)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16146, 16145])).
% 13.99/9.74 tff(16148,plain,
% 13.99/9.74 ($false),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16147, 102, 16144, 16137])).
% 13.99/9.74 tff(16149,plain,(~node4(s213)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.74 tff(16150,plain,
% 13.99/9.74 (xuntil6(s213) | (~until5(s213))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15076, 294, 16149])).
% 13.99/9.74 tff(16151,plain,
% 13.99/9.74 (~until5(s213)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16150, 16120])).
% 13.99/9.74 tff(16152,plain,
% 13.99/9.74 (~xuntil6(s212)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15085, 16151])).
% 13.99/9.74 tff(16153,assumption,(node4(s212)), introduced(assumption)).
% 13.99/9.74 tff(16154,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s212) | (~node4(s212)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s212) | (~node4(s212)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16155,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s212) | (~node4(s212)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16156,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s212) | (~node4(s212))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16155, 16154])).
% 13.99/9.74 tff(16157,plain,
% 13.99/9.74 (m_main_v_request(s212)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16156, 21, 16153])).
% 13.99/9.74 tff(16158,plain,
% 13.99/9.74 (always3(s212)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15098, 36, 16153])).
% 13.99/9.74 tff(16159,plain,
% 13.99/9.74 (always3(s213)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15094, 16158])).
% 13.99/9.74 tff(16160,plain,
% 13.99/9.74 (~m_main_v_state(s213, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16143, 85, 16159])).
% 13.99/9.74 tff(16161,plain,
% 13.99/9.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s212, s213)) | node2(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s212, s213)) | node2(s212, s213))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16162,plain,
% 13.99/9.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s212, s213)) | node2(s212, s213))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16163,plain,
% 13.99/9.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s212, s213)) | node2(s212, s213)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16162, 16161])).
% 13.99/9.74 tff(16164,plain,
% 13.99/9.74 (node2(s212, s213)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16163, 7, 15090])).
% 13.99/9.74 tff(16165,plain,
% 13.99/9.74 (((~![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(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16166,plain,
% 13.99/9.74 ((~![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(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16167,plain,
% 13.99/9.74 ((~![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(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 13.99/9.74 tff(16168,plain,
% 13.99/9.74 ((~m_main_v_state(s212, c_ready)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16167, 73, 16164])).
% 13.99/9.74 tff(16169,plain,
% 13.99/9.74 (~m_main_v_state(s212, c_ready)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16168, 16160, 16157])).
% 13.99/9.74 tff(16170,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s212)) | (~m_main_v_state(s212, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s212)) | (~m_main_v_state(s212, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16171,plain,
% 13.99/9.74 (((~m_main_v_state(s212, c_busy)) | (~always3(s212))) <=> ((~always3(s212)) | (~m_main_v_state(s212, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16172,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s212, c_busy)) | (~always3(s212)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s212)) | (~m_main_v_state(s212, c_busy))))),
% 13.99/9.74 inference(monotonicity,[status(thm)],[16171])).
% 13.99/9.74 tff(16173,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s212, c_busy)) | (~always3(s212)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s212)) | (~m_main_v_state(s212, c_busy)))),
% 13.99/9.74 inference(transitivity,[status(thm)],[16172, 16170])).
% 13.99/9.74 tff(16174,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s212, c_busy)) | (~always3(s212)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16175,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s212)) | (~m_main_v_state(s212, c_busy))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16174, 16173])).
% 13.99/9.74 tff(16176,plain,
% 13.99/9.74 (~m_main_v_state(s212, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16175, 85, 16158])).
% 13.99/9.74 tff(16177,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16178,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16179,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16178, 16177])).
% 13.99/9.74 tff(16180,plain,
% 13.99/9.74 ($false),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16179, 102, 16176, 16169])).
% 13.99/9.74 tff(16181,plain,(~node4(s212)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.74 tff(16182,plain,
% 13.99/9.74 (xuntil6(s212) | (~until5(s212))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15105, 294, 16181])).
% 13.99/9.74 tff(16183,plain,
% 13.99/9.74 (~until5(s212)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16182, 16152])).
% 13.99/9.74 tff(16184,plain,
% 13.99/9.74 (~xuntil6(s211)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15114, 16183])).
% 13.99/9.74 tff(16185,assumption,(node4(s211)), introduced(assumption)).
% 13.99/9.74 tff(16186,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s211) | (~node4(s211)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s211) | (~node4(s211)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16187,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s211) | (~node4(s211)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16188,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s211) | (~node4(s211))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 13.99/9.74 tff(16189,plain,
% 13.99/9.74 (m_main_v_request(s211)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16188, 21, 16185])).
% 13.99/9.74 tff(16190,plain,
% 13.99/9.74 (always3(s211)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15127, 36, 16185])).
% 13.99/9.74 tff(16191,plain,
% 13.99/9.74 (always3(s212)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15123, 16190])).
% 13.99/9.74 tff(16192,plain,
% 13.99/9.74 (~m_main_v_state(s212, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16175, 85, 16191])).
% 13.99/9.74 tff(16193,plain,
% 13.99/9.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s211, s212)) | node2(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s211, s212)) | node2(s211, s212))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16194,plain,
% 13.99/9.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s211, s212)) | node2(s211, s212))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16195,plain,
% 13.99/9.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s211, s212)) | node2(s211, s212)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16194, 16193])).
% 13.99/9.74 tff(16196,plain,
% 13.99/9.74 (node2(s211, s212)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16195, 7, 15119])).
% 13.99/9.74 tff(16197,plain,
% 13.99/9.74 (((~![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(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16198,plain,
% 13.99/9.74 ((~![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(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16199,plain,
% 13.99/9.74 ((~![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(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16198, 16197])).
% 13.99/9.74 tff(16200,plain,
% 13.99/9.74 ((~m_main_v_state(s211, c_ready)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16199, 73, 16196])).
% 13.99/9.74 tff(16201,plain,
% 13.99/9.74 (~m_main_v_state(s211, c_ready)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16200, 16192, 16189])).
% 13.99/9.74 tff(16202,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s211)) | (~m_main_v_state(s211, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s211)) | (~m_main_v_state(s211, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16203,plain,
% 13.99/9.74 (((~m_main_v_state(s211, c_busy)) | (~always3(s211))) <=> ((~always3(s211)) | (~m_main_v_state(s211, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16204,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s211, c_busy)) | (~always3(s211)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s211)) | (~m_main_v_state(s211, c_busy))))),
% 13.99/9.74 inference(monotonicity,[status(thm)],[16203])).
% 13.99/9.74 tff(16205,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s211, c_busy)) | (~always3(s211)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s211)) | (~m_main_v_state(s211, c_busy)))),
% 13.99/9.74 inference(transitivity,[status(thm)],[16204, 16202])).
% 13.99/9.74 tff(16206,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s211, c_busy)) | (~always3(s211)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16207,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s211)) | (~m_main_v_state(s211, c_busy))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16206, 16205])).
% 13.99/9.74 tff(16208,plain,
% 13.99/9.74 (~m_main_v_state(s211, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16207, 85, 16190])).
% 13.99/9.74 tff(16209,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16210,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16211,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 13.99/9.74 tff(16212,plain,
% 13.99/9.74 ($false),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16211, 102, 16208, 16201])).
% 13.99/9.74 tff(16213,plain,(~node4(s211)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.74 tff(16214,plain,
% 13.99/9.74 (xuntil6(s211) | (~until5(s211))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15134, 294, 16213])).
% 13.99/9.74 tff(16215,plain,
% 13.99/9.74 (~until5(s211)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16214, 16184])).
% 13.99/9.74 tff(16216,plain,
% 13.99/9.74 (~xuntil6(s210)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15143, 16215])).
% 13.99/9.74 tff(16217,assumption,(node4(s210)), introduced(assumption)).
% 13.99/9.74 tff(16218,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s210) | (~node4(s210)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s210) | (~node4(s210)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16219,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s210) | (~node4(s210)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16220,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s210) | (~node4(s210))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16219, 16218])).
% 13.99/9.74 tff(16221,plain,
% 13.99/9.74 (m_main_v_request(s210)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16220, 21, 16217])).
% 13.99/9.74 tff(16222,plain,
% 13.99/9.74 (always3(s210)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15156, 36, 16217])).
% 13.99/9.74 tff(16223,plain,
% 13.99/9.74 (always3(s211)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15152, 16222])).
% 13.99/9.74 tff(16224,plain,
% 13.99/9.74 (~m_main_v_state(s211, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16207, 85, 16223])).
% 13.99/9.74 tff(16225,plain,
% 13.99/9.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s210, s211)) | node2(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s210, s211)) | node2(s210, s211))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16226,plain,
% 13.99/9.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s210, s211)) | node2(s210, s211))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16227,plain,
% 13.99/9.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s210, s211)) | node2(s210, s211)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16226, 16225])).
% 13.99/9.74 tff(16228,plain,
% 13.99/9.74 (node2(s210, s211)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16227, 7, 15148])).
% 13.99/9.74 tff(16229,plain,
% 13.99/9.74 (((~![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(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16230,plain,
% 13.99/9.74 ((~![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(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16231,plain,
% 13.99/9.74 ((~![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(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 13.99/9.74 tff(16232,plain,
% 13.99/9.74 ((~m_main_v_state(s210, c_ready)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16231, 73, 16228])).
% 13.99/9.74 tff(16233,plain,
% 13.99/9.74 (~m_main_v_state(s210, c_ready)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16232, 16224, 16221])).
% 13.99/9.74 tff(16234,plain,
% 13.99/9.74 (~m_main_v_state(s210, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[14839, 85, 16222])).
% 13.99/9.74 tff(16235,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16236,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16237,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 13.99/9.74 tff(16238,plain,
% 13.99/9.74 ($false),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16237, 102, 16234, 16233])).
% 13.99/9.74 tff(16239,plain,(~node4(s210)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.74 tff(16240,plain,
% 13.99/9.74 (xuntil6(s210) | (~until5(s210))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15163, 294, 16239])).
% 13.99/9.74 tff(16241,plain,
% 13.99/9.74 (~until5(s210)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16240, 16216])).
% 13.99/9.74 tff(16242,plain,
% 13.99/9.74 (~xuntil6(s209)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15169, 16241])).
% 13.99/9.74 tff(16243,assumption,(node4(s189)), introduced(assumption)).
% 13.99/9.74 tff(16244,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s189) | (~node4(s189)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s189) | (~node4(s189)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16245,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s189) | (~node4(s189)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16246,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s189) | (~node4(s189))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16245, 16244])).
% 13.99/9.74 tff(16247,plain,
% 13.99/9.74 (m_main_v_request(s189)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16246, 21, 16243])).
% 13.99/9.74 tff(16248,plain,
% 13.99/9.74 (always3(s189)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15652, 36, 16243])).
% 13.99/9.74 tff(16249,plain,
% 13.99/9.74 (always3(s190)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15504, 16248])).
% 13.99/9.74 tff(16250,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s190)) | (~m_main_v_state(s190, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s190)) | (~m_main_v_state(s190, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16251,plain,
% 13.99/9.74 (((~m_main_v_state(s190, c_busy)) | (~always3(s190))) <=> ((~always3(s190)) | (~m_main_v_state(s190, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16252,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s190, c_busy)) | (~always3(s190)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s190)) | (~m_main_v_state(s190, c_busy))))),
% 13.99/9.74 inference(monotonicity,[status(thm)],[16251])).
% 13.99/9.74 tff(16253,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s190, c_busy)) | (~always3(s190)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s190)) | (~m_main_v_state(s190, c_busy)))),
% 13.99/9.74 inference(transitivity,[status(thm)],[16252, 16250])).
% 13.99/9.74 tff(16254,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s190, c_busy)) | (~always3(s190)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16255,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s190)) | (~m_main_v_state(s190, c_busy))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16254, 16253])).
% 13.99/9.74 tff(16256,plain,
% 13.99/9.74 (~m_main_v_state(s190, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16255, 85, 16249])).
% 13.99/9.74 tff(16257,plain,
% 13.99/9.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s189, s190)) | node2(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s189, s190)) | node2(s189, s190))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16258,plain,
% 13.99/9.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s189, s190)) | node2(s189, s190))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16259,plain,
% 13.99/9.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s189, s190)) | node2(s189, s190)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16258, 16257])).
% 13.99/9.74 tff(16260,plain,
% 13.99/9.74 (node2(s189, s190)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16259, 7, 15500])).
% 13.99/9.74 tff(16261,plain,
% 13.99/9.74 (((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16262,plain,
% 13.99/9.74 ((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16263,plain,
% 13.99/9.74 ((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16262, 16261])).
% 13.99/9.74 tff(16264,plain,
% 13.99/9.74 ((~m_main_v_state(s189, c_ready)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16263, 73, 16260])).
% 13.99/9.74 tff(16265,plain,
% 13.99/9.74 (~m_main_v_state(s189, c_ready)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16264, 16256, 16247])).
% 13.99/9.74 tff(16266,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s189)) | (~m_main_v_state(s189, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s189)) | (~m_main_v_state(s189, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16267,plain,
% 13.99/9.74 (((~m_main_v_state(s189, c_busy)) | (~always3(s189))) <=> ((~always3(s189)) | (~m_main_v_state(s189, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16268,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s189, c_busy)) | (~always3(s189)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s189)) | (~m_main_v_state(s189, c_busy))))),
% 13.99/9.74 inference(monotonicity,[status(thm)],[16267])).
% 13.99/9.74 tff(16269,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s189, c_busy)) | (~always3(s189)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s189)) | (~m_main_v_state(s189, c_busy)))),
% 13.99/9.74 inference(transitivity,[status(thm)],[16268, 16266])).
% 13.99/9.74 tff(16270,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s189, c_busy)) | (~always3(s189)))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16271,plain,
% 13.99/9.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s189)) | (~m_main_v_state(s189, c_busy))),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 13.99/9.74 tff(16272,plain,
% 13.99/9.74 (~m_main_v_state(s189, c_busy)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16271, 85, 16248])).
% 13.99/9.74 tff(16273,plain,
% 13.99/9.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16274,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready))),
% 13.99/9.74 inference(quant_inst,[status(thm)],[])).
% 13.99/9.74 tff(16275,plain,
% 13.99/9.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready)),
% 13.99/9.74 inference(modus_ponens,[status(thm)],[16274, 16273])).
% 13.99/9.74 tff(16276,plain,
% 13.99/9.74 ($false),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16275, 102, 16272, 16265])).
% 13.99/9.74 tff(16277,plain,(~node4(s189)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.74 tff(16278,assumption,(~node4(s187)), introduced(assumption)).
% 13.99/9.74 tff(16279,assumption,(~node4(s194)), introduced(assumption)).
% 13.99/9.74 tff(16280,assumption,(~node4(s196)), introduced(assumption)).
% 13.99/9.74 tff(16281,assumption,(~node4(s189)), introduced(assumption)).
% 13.99/9.74 tff(16282,assumption,(~xuntil6(s200)), introduced(assumption)).
% 13.99/9.74 tff(16283,assumption,(~always3(s200)), introduced(assumption)).
% 13.99/9.74 tff(16284,plain,
% 13.99/9.74 (~always3(s199)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15406, 16283])).
% 13.99/9.74 tff(16285,plain,
% 13.99/9.74 (~node4(s199)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15816, 36, 16284])).
% 13.99/9.74 tff(16286,plain,
% 13.99/9.74 (~node4(s200)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15833, 36, 16283])).
% 13.99/9.74 tff(16287,plain,
% 13.99/9.74 (node4(s200) | (~until5(s200))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15840, 294, 16282])).
% 13.99/9.74 tff(16288,plain,
% 13.99/9.74 (~until5(s200)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16287, 16286])).
% 13.99/9.74 tff(16289,plain,
% 13.99/9.74 (~xuntil6(s199)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15829, 16288])).
% 13.99/9.74 tff(16290,plain,
% 13.99/9.74 (~until5(s199)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15823, 294, 16289, 16285])).
% 13.99/9.74 tff(16291,plain,
% 13.99/9.74 (~xuntil6(s198)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15812, 16290])).
% 13.99/9.74 tff(16292,plain,
% 13.99/9.74 (~always3(s198)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15418, 16284])).
% 13.99/9.74 tff(16293,plain,
% 13.99/9.74 (~node4(s198)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15799, 36, 16292])).
% 13.99/9.74 tff(16294,plain,
% 13.99/9.74 (xuntil6(s198) | (~until5(s198))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15806, 294, 16293])).
% 13.99/9.74 tff(16295,plain,
% 13.99/9.74 (~until5(s198)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16294, 16291])).
% 13.99/9.74 tff(16296,plain,
% 13.99/9.74 (~xuntil6(s197)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15795, 16295])).
% 13.99/9.74 tff(16297,plain,
% 13.99/9.74 (~always3(s197)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15430, 16292])).
% 13.99/9.74 tff(16298,plain,
% 13.99/9.74 (~node4(s197)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15782, 36, 16297])).
% 13.99/9.74 tff(16299,plain,
% 13.99/9.74 (xuntil6(s197) | (~until5(s197))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15789, 294, 16298])).
% 13.99/9.74 tff(16300,plain,
% 13.99/9.74 (~until5(s197)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16299, 16296])).
% 13.99/9.74 tff(16301,plain,
% 13.99/9.74 (~xuntil6(s196)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15778, 16300])).
% 13.99/9.74 tff(16302,plain,
% 13.99/9.74 (~always3(s196)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[14734, 16297])).
% 13.99/9.74 tff(16303,plain,
% 13.99/9.74 (~node4(s196)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[14722, 36, 16302])).
% 13.99/9.74 tff(16304,plain,
% 13.99/9.74 (xuntil6(s196) | (~until5(s196))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15772, 294, 16303])).
% 13.99/9.74 tff(16305,plain,
% 13.99/9.74 (~until5(s196)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16304, 16301])).
% 13.99/9.74 tff(16306,plain,
% 13.99/9.74 (~xuntil6(s195)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15764, 16305])).
% 13.99/9.74 tff(16307,plain,
% 13.99/9.74 (~always3(s195)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15443, 16302])).
% 13.99/9.74 tff(16308,plain,
% 13.99/9.74 (~node4(s195)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15751, 36, 16307])).
% 13.99/9.74 tff(16309,plain,
% 13.99/9.74 (xuntil6(s195) | (~until5(s195))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15758, 294, 16308])).
% 13.99/9.74 tff(16310,plain,
% 13.99/9.74 (~until5(s195)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16309, 16306])).
% 13.99/9.74 tff(16311,plain,
% 13.99/9.74 (~xuntil6(s194)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15747, 16310])).
% 13.99/9.74 tff(16312,plain,
% 13.99/9.74 (~always3(s194)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[14783, 16307])).
% 13.99/9.74 tff(16313,plain,
% 13.99/9.74 (~node4(s194)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[14771, 36, 16312])).
% 13.99/9.74 tff(16314,plain,
% 13.99/9.74 (xuntil6(s194) | (~until5(s194))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15741, 294, 16313])).
% 13.99/9.74 tff(16315,plain,
% 13.99/9.74 (~until5(s194)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16314, 16311])).
% 13.99/9.74 tff(16316,plain,
% 13.99/9.74 (~xuntil6(s193)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15733, 16315])).
% 13.99/9.74 tff(16317,plain,
% 13.99/9.74 (~always3(s193)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15456, 16312])).
% 13.99/9.74 tff(16318,plain,
% 13.99/9.74 (~node4(s193)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15720, 36, 16317])).
% 13.99/9.74 tff(16319,plain,
% 13.99/9.74 (xuntil6(s193) | (~until5(s193))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15727, 294, 16318])).
% 13.99/9.74 tff(16320,plain,
% 13.99/9.74 (~until5(s193)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16319, 16316])).
% 13.99/9.74 tff(16321,plain,
% 13.99/9.74 (~xuntil6(s192)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15716, 16320])).
% 13.99/9.74 tff(16322,plain,
% 13.99/9.74 (~always3(s192)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15468, 16317])).
% 13.99/9.74 tff(16323,plain,
% 13.99/9.74 (~always3(s191)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15480, 16322])).
% 13.99/9.74 tff(16324,plain,
% 13.99/9.74 (~always3(s190)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15492, 16323])).
% 13.99/9.74 tff(16325,plain,
% 13.99/9.74 (~always3(s189)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15504, 16324])).
% 13.99/9.74 tff(16326,plain,
% 13.99/9.74 (~always3(s188)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15516, 16325])).
% 13.99/9.74 tff(16327,plain,
% 13.99/9.74 (~always3(s187)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15528, 16326])).
% 13.99/9.74 tff(16328,plain,
% 13.99/9.74 (~always3(s186)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15540, 16327])).
% 13.99/9.74 tff(16329,plain,
% 13.99/9.74 (~always3(s185)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15552, 16328])).
% 13.99/9.74 tff(16330,plain,
% 13.99/9.74 (~node4(s185)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15556, 36, 16329])).
% 13.99/9.74 tff(16331,plain,
% 13.99/9.74 (~always3(s184)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15568, 16329])).
% 13.99/9.74 tff(16332,plain,
% 13.99/9.74 (~node4(s184)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15572, 36, 16331])).
% 13.99/9.74 tff(16333,plain,
% 13.99/9.74 (xuntil6(s184)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15580, 16332])).
% 13.99/9.74 tff(16334,plain,
% 13.99/9.74 (until5(s185)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15585, 16333])).
% 13.99/9.74 tff(16335,plain,
% 13.99/9.74 (xuntil6(s185)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15592, 294, 16334, 16330])).
% 13.99/9.74 tff(16336,plain,
% 13.99/9.74 (until5(s186)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15597, 16335])).
% 13.99/9.74 tff(16337,plain,
% 13.99/9.74 (~node4(s186)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15601, 36, 16328])).
% 13.99/9.74 tff(16338,plain,
% 13.99/9.74 (xuntil6(s186) | (~until5(s186))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15608, 294, 16337])).
% 13.99/9.74 tff(16339,plain,
% 13.99/9.74 (xuntil6(s186)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16338, 16336])).
% 13.99/9.74 tff(16340,plain,
% 13.99/9.74 (until5(s187)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15614, 16339])).
% 13.99/9.74 tff(16341,plain,
% 13.99/9.74 (~node4(s187)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15618, 36, 16327])).
% 13.99/9.74 tff(16342,plain,
% 13.99/9.74 (xuntil6(s187) | (~until5(s187))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15625, 294, 16341])).
% 13.99/9.74 tff(16343,plain,
% 13.99/9.74 (xuntil6(s187)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16342, 16340])).
% 13.99/9.74 tff(16344,plain,
% 13.99/9.74 (until5(s188)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15631, 16343])).
% 13.99/9.74 tff(16345,plain,
% 13.99/9.74 (~node4(s188)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15635, 36, 16326])).
% 13.99/9.74 tff(16346,plain,
% 13.99/9.74 (xuntil6(s188) | (~until5(s188))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15642, 294, 16345])).
% 13.99/9.74 tff(16347,plain,
% 13.99/9.74 (xuntil6(s188)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16346, 16344])).
% 13.99/9.74 tff(16348,plain,
% 13.99/9.74 (until5(s189)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15648, 16347])).
% 13.99/9.74 tff(16349,plain,
% 13.99/9.74 (~node4(s189)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15652, 36, 16325])).
% 13.99/9.74 tff(16350,plain,
% 13.99/9.74 (xuntil6(s189) | (~until5(s189))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15659, 294, 16349])).
% 13.99/9.74 tff(16351,plain,
% 13.99/9.74 (xuntil6(s189)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16350, 16348])).
% 13.99/9.74 tff(16352,plain,
% 13.99/9.74 (until5(s190)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15665, 16351])).
% 13.99/9.74 tff(16353,plain,
% 13.99/9.74 (~node4(s190)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15669, 36, 16324])).
% 13.99/9.74 tff(16354,plain,
% 13.99/9.74 (xuntil6(s190) | (~until5(s190))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15676, 294, 16353])).
% 13.99/9.74 tff(16355,plain,
% 13.99/9.74 (xuntil6(s190)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16354, 16352])).
% 13.99/9.74 tff(16356,plain,
% 13.99/9.74 (until5(s191)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15682, 16355])).
% 13.99/9.74 tff(16357,plain,
% 13.99/9.74 (~node4(s191)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15686, 36, 16323])).
% 13.99/9.74 tff(16358,plain,
% 13.99/9.74 (xuntil6(s191) | (~until5(s191))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15693, 294, 16357])).
% 13.99/9.74 tff(16359,plain,
% 13.99/9.74 (xuntil6(s191)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16358, 16356])).
% 13.99/9.74 tff(16360,plain,
% 13.99/9.74 (until5(s192)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15699, 16359])).
% 13.99/9.74 tff(16361,plain,
% 13.99/9.74 (~node4(s192)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15703, 36, 16322])).
% 13.99/9.74 tff(16362,plain,
% 13.99/9.74 (xuntil6(s192) | (~until5(s192))),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[15710, 294, 16361])).
% 13.99/9.74 tff(16363,plain,
% 13.99/9.74 ($false),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16362, 16360, 16321])).
% 13.99/9.74 tff(16364,plain,(always3(s200) | (~until5(s184)) | xuntil6(s200)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.74 tff(16365,plain,
% 13.99/9.74 (always3(s200)),
% 13.99/9.74 inference(unit_resolution,[status(thm)],[16364, 16282, 14862])).
% 13.99/9.74 tff(16366,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s200)) | (~m_main_v_state(s200, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s200)) | (~m_main_v_state(s200, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16367,plain,
% 13.99/9.74 (((~m_main_v_state(s200, c_busy)) | (~always3(s200))) <=> ((~always3(s200)) | (~m_main_v_state(s200, c_busy)))),
% 13.99/9.74 inference(rewrite,[status(thm)],[])).
% 13.99/9.74 tff(16368,plain,
% 13.99/9.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s200, c_busy)) | (~always3(s200)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s200)) | (~m_main_v_state(s200, c_busy))))),
% 13.99/9.75 inference(monotonicity,[status(thm)],[16367])).
% 13.99/9.75 tff(16369,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s200, c_busy)) | (~always3(s200)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s200)) | (~m_main_v_state(s200, c_busy)))),
% 13.99/9.75 inference(transitivity,[status(thm)],[16368, 16366])).
% 13.99/9.75 tff(16370,plain,
% 13.99/9.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s200, c_busy)) | (~always3(s200)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16371,plain,
% 13.99/9.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s200)) | (~m_main_v_state(s200, c_busy))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16370, 16369])).
% 13.99/9.75 tff(16372,plain,
% 13.99/9.75 (~m_main_v_state(s200, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16371, 85, 16365])).
% 13.99/9.75 tff(16373,plain,
% 13.99/9.75 (always3(s201)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15394, 16365])).
% 13.99/9.75 tff(16374,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s201)) | (~m_main_v_state(s201, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s201)) | (~m_main_v_state(s201, c_busy)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16375,plain,
% 13.99/9.75 (((~m_main_v_state(s201, c_busy)) | (~always3(s201))) <=> ((~always3(s201)) | (~m_main_v_state(s201, c_busy)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16376,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s201, c_busy)) | (~always3(s201)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s201)) | (~m_main_v_state(s201, c_busy))))),
% 13.99/9.75 inference(monotonicity,[status(thm)],[16375])).
% 13.99/9.75 tff(16377,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s201, c_busy)) | (~always3(s201)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s201)) | (~m_main_v_state(s201, c_busy)))),
% 13.99/9.75 inference(transitivity,[status(thm)],[16376, 16374])).
% 13.99/9.75 tff(16378,plain,
% 13.99/9.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s201, c_busy)) | (~always3(s201)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16379,plain,
% 13.99/9.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s201)) | (~m_main_v_state(s201, c_busy))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16378, 16377])).
% 13.99/9.75 tff(16380,plain,
% 13.99/9.75 (~m_main_v_state(s201, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16379, 85, 16373])).
% 13.99/9.75 tff(16381,assumption,(until5(s200)), introduced(assumption)).
% 13.99/9.75 tff(16382,plain,
% 13.99/9.75 (xuntil6(s200) | node4(s200)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15840, 294, 16381])).
% 13.99/9.75 tff(16383,plain,
% 13.99/9.75 (node4(s200)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16382, 16282])).
% 13.99/9.75 tff(16384,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s200) | (~node4(s200)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s200) | (~node4(s200)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16385,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s200) | (~node4(s200)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16386,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s200) | (~node4(s200))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 13.99/9.75 tff(16387,plain,
% 13.99/9.75 (m_main_v_request(s200)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16386, 21, 16383])).
% 13.99/9.75 tff(16388,plain,
% 13.99/9.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s200, s201)) | node2(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s200, s201)) | node2(s200, s201))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16389,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s200, s201)) | node2(s200, s201))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16390,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s200, s201)) | node2(s200, s201)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16389, 16388])).
% 13.99/9.75 tff(16391,plain,
% 13.99/9.75 (node2(s200, s201)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16390, 7, 15390])).
% 13.99/9.75 tff(16392,plain,
% 13.99/9.75 (((~![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(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16393,plain,
% 13.99/9.75 ((~![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(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16394,plain,
% 13.99/9.75 ((~![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(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16393, 16392])).
% 13.99/9.75 tff(16395,plain,
% 13.99/9.75 ((~m_main_v_state(s200, c_ready)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200))),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16394, 73, 16391])).
% 13.99/9.75 tff(16396,plain,
% 13.99/9.75 (~m_main_v_state(s200, c_ready)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16395, 16387, 16380])).
% 13.99/9.75 tff(16397,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16398,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16399,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16398, 16397])).
% 13.99/9.75 tff(16400,plain,
% 13.99/9.75 ($false),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16399, 102, 16372, 16396])).
% 13.99/9.75 tff(16401,plain,(xuntil6(s200) | (~until5(s200)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 13.99/9.75 tff(16402,plain,
% 13.99/9.75 (~until5(s200)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16401, 16282, 14862])).
% 13.99/9.75 tff(16403,plain,
% 13.99/9.75 (~xuntil6(s199)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15829, 16402])).
% 13.99/9.75 tff(16404,assumption,(until5(s199)), introduced(assumption)).
% 13.99/9.75 tff(16405,plain,
% 13.99/9.75 (xuntil6(s199) | node4(s199)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15823, 294, 16404])).
% 13.99/9.75 tff(16406,plain,
% 13.99/9.75 (node4(s199)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16405, 16403])).
% 13.99/9.75 tff(16407,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s199) | (~node4(s199)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s199) | (~node4(s199)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16408,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s199) | (~node4(s199)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16409,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s199) | (~node4(s199))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16408, 16407])).
% 13.99/9.75 tff(16410,plain,
% 13.99/9.75 (m_main_v_request(s199)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16409, 21, 16406])).
% 13.99/9.75 tff(16411,plain,
% 13.99/9.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s200)) | node2(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s200)) | node2(s199, s200))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16412,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s200)) | node2(s199, s200))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16413,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s200)) | node2(s199, s200)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16412, 16411])).
% 13.99/9.75 tff(16414,plain,
% 13.99/9.75 (node2(s199, s200)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16413, 7, 15402])).
% 13.99/9.75 tff(16415,plain,
% 13.99/9.75 (((~![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(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16416,plain,
% 13.99/9.75 ((~![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(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16417,plain,
% 13.99/9.75 ((~![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(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16416, 16415])).
% 13.99/9.75 tff(16418,plain,
% 13.99/9.75 ((~m_main_v_state(s199, c_ready)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199))),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16417, 73, 16414])).
% 13.99/9.75 tff(16419,plain,
% 13.99/9.75 (~m_main_v_state(s199, c_ready)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16418, 16410, 16372])).
% 13.99/9.75 tff(16420,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16421,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16422,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 13.99/9.75 tff(16423,plain,
% 13.99/9.75 (m_main_v_state(s199, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16422, 102, 16419])).
% 13.99/9.75 tff(16424,plain,
% 13.99/9.75 (always3(s199)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15816, 36, 16406])).
% 13.99/9.75 tff(16425,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s199)) | (~m_main_v_state(s199, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16426,plain,
% 13.99/9.75 (((~m_main_v_state(s199, c_busy)) | (~always3(s199))) <=> ((~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16427,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s199)) | (~m_main_v_state(s199, c_busy))))),
% 13.99/9.75 inference(monotonicity,[status(thm)],[16426])).
% 13.99/9.75 tff(16428,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 13.99/9.75 inference(transitivity,[status(thm)],[16427, 16425])).
% 13.99/9.75 tff(16429,plain,
% 13.99/9.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16430,plain,
% 13.99/9.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 13.99/9.75 tff(16431,plain,
% 13.99/9.75 ($false),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16430, 85, 16424, 16423])).
% 13.99/9.75 tff(16432,plain,(xuntil6(s200) | (~until5(s199)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 13.99/9.75 tff(16433,plain,
% 13.99/9.75 (~until5(s199)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16432, 14862, 16282])).
% 13.99/9.75 tff(16434,plain,
% 13.99/9.75 (~xuntil6(s198)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15812, 16433])).
% 13.99/9.75 tff(16435,assumption,(node4(s198)), introduced(assumption)).
% 13.99/9.75 tff(16436,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s198) | (~node4(s198)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s198) | (~node4(s198)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16437,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s198) | (~node4(s198)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16438,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s198) | (~node4(s198))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16437, 16436])).
% 13.99/9.75 tff(16439,plain,
% 13.99/9.75 (m_main_v_request(s198)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16438, 21, 16435])).
% 13.99/9.75 tff(16440,plain,
% 13.99/9.75 (always3(s198)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15799, 36, 16435])).
% 13.99/9.75 tff(16441,plain,
% 13.99/9.75 (always3(s199)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15418, 16440])).
% 13.99/9.75 tff(16442,plain,
% 13.99/9.75 (~m_main_v_state(s199, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16430, 85, 16441])).
% 13.99/9.75 tff(16443,plain,
% 13.99/9.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s198, s199)) | node2(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s198, s199)) | node2(s198, s199))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16444,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s198, s199)) | node2(s198, s199))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16445,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s198, s199)) | node2(s198, s199)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 13.99/9.75 tff(16446,plain,
% 13.99/9.75 (node2(s198, s199)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16445, 7, 15414])).
% 13.99/9.75 tff(16447,plain,
% 13.99/9.75 (((~![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(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16448,plain,
% 13.99/9.75 ((~![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(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16449,plain,
% 13.99/9.75 ((~![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(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 13.99/9.75 tff(16450,plain,
% 13.99/9.75 ((~m_main_v_state(s198, c_ready)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198))),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16449, 73, 16446])).
% 13.99/9.75 tff(16451,plain,
% 13.99/9.75 (~m_main_v_state(s198, c_ready)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16450, 16442, 16439])).
% 13.99/9.75 tff(16452,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s198)) | (~m_main_v_state(s198, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16453,plain,
% 13.99/9.75 (((~m_main_v_state(s198, c_busy)) | (~always3(s198))) <=> ((~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16454,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s198)) | (~m_main_v_state(s198, c_busy))))),
% 13.99/9.75 inference(monotonicity,[status(thm)],[16453])).
% 13.99/9.75 tff(16455,plain,
% 13.99/9.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 13.99/9.75 inference(transitivity,[status(thm)],[16454, 16452])).
% 13.99/9.75 tff(16456,plain,
% 13.99/9.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16457,plain,
% 13.99/9.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16456, 16455])).
% 13.99/9.75 tff(16458,plain,
% 13.99/9.75 (~m_main_v_state(s198, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16457, 85, 16440])).
% 13.99/9.75 tff(16459,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16460,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16461,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 13.99/9.75 tff(16462,plain,
% 13.99/9.75 ($false),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16461, 102, 16458, 16451])).
% 13.99/9.75 tff(16463,plain,(~node4(s198)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.75 tff(16464,plain,
% 13.99/9.75 (xuntil6(s198) | (~until5(s198))),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15806, 294, 16463])).
% 13.99/9.75 tff(16465,plain,
% 13.99/9.75 (~until5(s198)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16464, 16434])).
% 13.99/9.75 tff(16466,plain,
% 13.99/9.75 (~xuntil6(s197)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15795, 16465])).
% 13.99/9.75 tff(16467,assumption,(node4(s197)), introduced(assumption)).
% 13.99/9.75 tff(16468,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s197) | (~node4(s197)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s197) | (~node4(s197)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16469,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s197) | (~node4(s197)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16470,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s197) | (~node4(s197))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16469, 16468])).
% 13.99/9.75 tff(16471,plain,
% 13.99/9.75 (m_main_v_request(s197)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16470, 21, 16467])).
% 13.99/9.75 tff(16472,plain,
% 13.99/9.75 (always3(s197)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15782, 36, 16467])).
% 13.99/9.75 tff(16473,plain,
% 13.99/9.75 (always3(s198)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15430, 16472])).
% 13.99/9.75 tff(16474,plain,
% 13.99/9.75 (~m_main_v_state(s198, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16457, 85, 16473])).
% 13.99/9.75 tff(16475,plain,
% 13.99/9.75 (~m_main_v_state(s197, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[14741, 85, 16472])).
% 13.99/9.75 tff(16476,assumption,(~m_main_v_state(s197, c_busy)), introduced(assumption)).
% 13.99/9.75 tff(16477,assumption,(node1(s196)), introduced(assumption)).
% 13.99/9.75 tff(16478,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s196, c_ready) | (~node1(s196)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s196, c_ready) | (~node1(s196)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16479,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s196, c_ready) | (~node1(s196)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16480,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s196, c_ready) | (~node1(s196))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16479, 16478])).
% 13.99/9.75 tff(16481,plain,
% 13.99/9.75 (m_main_v_state(s196, c_ready)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16480, 3581, 16477])).
% 13.99/9.75 tff(16482,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s196) | (~node1(s196)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s196) | (~node1(s196)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16483,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s196) | (~node1(s196)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16484,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s196) | (~node1(s196))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16483, 16482])).
% 13.99/9.75 tff(16485,plain,
% 13.99/9.75 (m_main_v_request(s196)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16484, 3568, 16477])).
% 13.99/9.75 tff(16486,plain,
% 13.99/9.75 ($false),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[14750, 16485, 16481, 16476])).
% 13.99/9.75 tff(16487,plain,((~node1(s196)) | m_main_v_state(s197, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.75 tff(16488,plain,
% 13.99/9.75 (~node1(s196)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16487, 16475])).
% 13.99/9.75 tff(16489,plain,
% 13.99/9.75 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s196, s197)) | m_main_v_state(s197, c_busy) | node1(s196) | m_main_v_state(s197, 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(s196, s197)) | m_main_v_state(s197, c_busy) | node1(s196) | m_main_v_state(s197, c_ready))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16490,plain,
% 13.99/9.75 ((node1(s196) | m_main_v_state(s197, c_ready) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy)) <=> ((~node2(s196, s197)) | m_main_v_state(s197, c_busy) | node1(s196) | m_main_v_state(s197, c_ready))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16491,plain,
% 13.99/9.75 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s196) | m_main_v_state(s197, c_ready) | (~node2(s196, s197)) | m_main_v_state(s197, 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(s196, s197)) | m_main_v_state(s197, c_busy) | node1(s196) | m_main_v_state(s197, c_ready)))),
% 13.99/9.75 inference(monotonicity,[status(thm)],[16490])).
% 13.99/9.75 tff(16492,plain,
% 13.99/9.75 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s196) | m_main_v_state(s197, c_ready) | (~node2(s196, s197)) | m_main_v_state(s197, 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(s196, s197)) | m_main_v_state(s197, c_busy) | node1(s196) | m_main_v_state(s197, c_ready))),
% 13.99/9.75 inference(transitivity,[status(thm)],[16491, 16489])).
% 13.99/9.75 tff(16493,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s196) | m_main_v_state(s197, c_ready) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16494,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | node1(s196) | m_main_v_state(s197, c_ready)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16493, 16492])).
% 13.99/9.75 tff(16495,plain,
% 13.99/9.75 (m_main_v_state(s197, c_busy) | node1(s196) | m_main_v_state(s197, c_ready)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16494, 3551, 14746])).
% 13.99/9.75 tff(16496,plain,
% 13.99/9.75 (m_main_v_state(s197, c_ready)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16495, 16475, 16488])).
% 13.99/9.75 tff(16497,plain,
% 13.99/9.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s197, s198)) | node2(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s197, s198)) | node2(s197, s198))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16498,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s197, s198)) | node2(s197, s198))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16499,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s197, s198)) | node2(s197, s198)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 13.99/9.75 tff(16500,plain,
% 13.99/9.75 (node2(s197, s198)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16499, 7, 15426])).
% 13.99/9.75 tff(16501,plain,
% 13.99/9.75 (((~![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(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16502,plain,
% 13.99/9.75 ((~![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(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16503,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16502, 16501])).
% 13.99/9.75 tff(16504,plain,
% 13.99/9.75 ((~m_main_v_state(s197, c_ready)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197))),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16503, 73, 16500])).
% 13.99/9.75 tff(16505,plain,
% 13.99/9.75 ($false),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16504, 16496, 16474, 16471])).
% 13.99/9.75 tff(16506,plain,(~node4(s197)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.75 tff(16507,plain,
% 13.99/9.75 (xuntil6(s197) | (~until5(s197))),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15789, 294, 16506])).
% 13.99/9.75 tff(16508,plain,
% 13.99/9.75 (~until5(s197)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16507, 16466])).
% 13.99/9.75 tff(16509,plain,
% 13.99/9.75 (~xuntil6(s196)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15778, 16508])).
% 13.99/9.75 tff(16510,plain,
% 13.99/9.75 (~until5(s196)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15772, 294, 16509, 16280])).
% 13.99/9.75 tff(16511,plain,
% 13.99/9.75 (~xuntil6(s195)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15764, 16510])).
% 13.99/9.75 tff(16512,assumption,(node4(s195)), introduced(assumption)).
% 13.99/9.75 tff(16513,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s195) | (~node4(s195)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s195) | (~node4(s195)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16514,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s195) | (~node4(s195)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16515,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s195) | (~node4(s195))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 13.99/9.75 tff(16516,plain,
% 13.99/9.75 (m_main_v_request(s195)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16515, 21, 16512])).
% 13.99/9.75 tff(16517,plain,
% 13.99/9.75 (always3(s195)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15751, 36, 16512])).
% 13.99/9.75 tff(16518,plain,
% 13.99/9.75 (always3(s196)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15443, 16517])).
% 13.99/9.75 tff(16519,plain,
% 13.99/9.75 (~m_main_v_state(s196, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[14757, 85, 16518])).
% 13.99/9.75 tff(16520,plain,
% 13.99/9.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s195, s196)) | node2(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s195, s196)) | node2(s195, s196))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16521,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s195, s196)) | node2(s195, s196))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16522,plain,
% 13.99/9.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s195, s196)) | node2(s195, s196)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16521, 16520])).
% 13.99/9.75 tff(16523,plain,
% 13.99/9.75 (node2(s195, s196)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16522, 7, 15439])).
% 13.99/9.75 tff(16524,plain,
% 13.99/9.75 (((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16525,plain,
% 13.99/9.75 ((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16526,plain,
% 13.99/9.75 ((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16525, 16524])).
% 13.99/9.75 tff(16527,plain,
% 13.99/9.75 ((~m_main_v_state(s195, c_ready)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195))),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16526, 73, 16523])).
% 13.99/9.75 tff(16528,plain,
% 13.99/9.75 (~m_main_v_state(s195, c_ready)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16527, 16519, 16516])).
% 13.99/9.75 tff(16529,plain,
% 13.99/9.75 (~m_main_v_state(s195, c_busy)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[14790, 85, 16517])).
% 13.99/9.75 tff(16530,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16531,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16532,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready)),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 13.99/9.75 tff(16533,plain,
% 13.99/9.75 ($false),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16532, 102, 16529, 16528])).
% 13.99/9.75 tff(16534,plain,(~node4(s195)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.75 tff(16535,plain,
% 13.99/9.75 (xuntil6(s195) | (~until5(s195))),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15758, 294, 16534])).
% 13.99/9.75 tff(16536,plain,
% 13.99/9.75 (~until5(s195)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16535, 16511])).
% 13.99/9.75 tff(16537,plain,
% 13.99/9.75 (~xuntil6(s194)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15747, 16536])).
% 13.99/9.75 tff(16538,plain,
% 13.99/9.75 (~until5(s194)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15741, 294, 16537, 16279])).
% 13.99/9.75 tff(16539,plain,
% 13.99/9.75 (~xuntil6(s193)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15733, 16538])).
% 13.99/9.75 tff(16540,assumption,(node4(s193)), introduced(assumption)).
% 13.99/9.75 tff(16541,plain,
% 13.99/9.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s193) | (~node4(s193)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s193) | (~node4(s193)))),
% 13.99/9.75 inference(rewrite,[status(thm)],[])).
% 13.99/9.75 tff(16542,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s193) | (~node4(s193)))),
% 13.99/9.75 inference(quant_inst,[status(thm)],[])).
% 13.99/9.75 tff(16543,plain,
% 13.99/9.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s193) | (~node4(s193))),
% 13.99/9.75 inference(modus_ponens,[status(thm)],[16542, 16541])).
% 13.99/9.75 tff(16544,plain,
% 13.99/9.75 (m_main_v_request(s193)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[16543, 21, 16540])).
% 13.99/9.75 tff(16545,plain,
% 13.99/9.75 (always3(s193)),
% 13.99/9.75 inference(unit_resolution,[status(thm)],[15720, 36, 16540])).
% 13.99/9.75 tff(16546,plain,
% 13.99/9.76 (always3(s194)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15456, 16545])).
% 13.99/9.76 tff(16547,plain,
% 13.99/9.76 (~m_main_v_state(s194, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[14806, 85, 16546])).
% 13.99/9.76 tff(16548,plain,
% 13.99/9.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s193, s194)) | node2(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s193, s194)) | node2(s193, s194))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16549,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s193, s194)) | node2(s193, s194))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16550,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s193, s194)) | node2(s193, s194)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 13.99/9.76 tff(16551,plain,
% 13.99/9.76 (node2(s193, s194)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16550, 7, 15452])).
% 13.99/9.76 tff(16552,plain,
% 13.99/9.76 (((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16553,plain,
% 13.99/9.76 ((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16554,plain,
% 13.99/9.76 ((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 13.99/9.76 tff(16555,plain,
% 13.99/9.76 ((~m_main_v_state(s193, c_ready)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16554, 73, 16551])).
% 13.99/9.76 tff(16556,plain,
% 13.99/9.76 (~m_main_v_state(s193, c_ready)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16555, 16547, 16544])).
% 13.99/9.76 tff(16557,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s193)) | (~m_main_v_state(s193, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s193)) | (~m_main_v_state(s193, c_busy)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16558,plain,
% 13.99/9.76 (((~m_main_v_state(s193, c_busy)) | (~always3(s193))) <=> ((~always3(s193)) | (~m_main_v_state(s193, c_busy)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16559,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s193, c_busy)) | (~always3(s193)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s193)) | (~m_main_v_state(s193, c_busy))))),
% 13.99/9.76 inference(monotonicity,[status(thm)],[16558])).
% 13.99/9.76 tff(16560,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s193, c_busy)) | (~always3(s193)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s193)) | (~m_main_v_state(s193, c_busy)))),
% 13.99/9.76 inference(transitivity,[status(thm)],[16559, 16557])).
% 13.99/9.76 tff(16561,plain,
% 13.99/9.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s193, c_busy)) | (~always3(s193)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16562,plain,
% 13.99/9.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s193)) | (~m_main_v_state(s193, c_busy))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 13.99/9.76 tff(16563,plain,
% 13.99/9.76 (~m_main_v_state(s193, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16562, 85, 16545])).
% 13.99/9.76 tff(16564,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16565,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16566,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16565, 16564])).
% 13.99/9.76 tff(16567,plain,
% 13.99/9.76 ($false),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16566, 102, 16563, 16556])).
% 13.99/9.76 tff(16568,plain,(~node4(s193)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.76 tff(16569,plain,
% 13.99/9.76 (xuntil6(s193) | (~until5(s193))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15727, 294, 16568])).
% 13.99/9.76 tff(16570,plain,
% 13.99/9.76 (~until5(s193)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16569, 16539])).
% 13.99/9.76 tff(16571,plain,
% 13.99/9.76 (~xuntil6(s192)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15716, 16570])).
% 13.99/9.76 tff(16572,assumption,(node4(s192)), introduced(assumption)).
% 13.99/9.76 tff(16573,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s192) | (~node4(s192)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s192) | (~node4(s192)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16574,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s192) | (~node4(s192)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16575,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s192) | (~node4(s192))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 13.99/9.76 tff(16576,plain,
% 13.99/9.76 (m_main_v_request(s192)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16575, 21, 16572])).
% 13.99/9.76 tff(16577,plain,
% 13.99/9.76 (always3(s192)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15703, 36, 16572])).
% 13.99/9.76 tff(16578,plain,
% 13.99/9.76 (always3(s193)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15468, 16577])).
% 13.99/9.76 tff(16579,plain,
% 13.99/9.76 (~m_main_v_state(s193, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16562, 85, 16578])).
% 13.99/9.76 tff(16580,plain,
% 13.99/9.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s192, s193)) | node2(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s192, s193)) | node2(s192, s193))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16581,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s192, s193)) | node2(s192, s193))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16582,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s192, s193)) | node2(s192, s193)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16581, 16580])).
% 13.99/9.76 tff(16583,plain,
% 13.99/9.76 (node2(s192, s193)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16582, 7, 15464])).
% 13.99/9.76 tff(16584,plain,
% 13.99/9.76 (((~![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(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16585,plain,
% 13.99/9.76 ((~![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(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16586,plain,
% 13.99/9.76 ((~![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(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16585, 16584])).
% 13.99/9.76 tff(16587,plain,
% 13.99/9.76 ((~m_main_v_state(s192, c_ready)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16586, 73, 16583])).
% 13.99/9.76 tff(16588,plain,
% 13.99/9.76 (~m_main_v_state(s192, c_ready)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16587, 16579, 16576])).
% 13.99/9.76 tff(16589,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s192)) | (~m_main_v_state(s192, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s192)) | (~m_main_v_state(s192, c_busy)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16590,plain,
% 13.99/9.76 (((~m_main_v_state(s192, c_busy)) | (~always3(s192))) <=> ((~always3(s192)) | (~m_main_v_state(s192, c_busy)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16591,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s192, c_busy)) | (~always3(s192)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s192)) | (~m_main_v_state(s192, c_busy))))),
% 13.99/9.76 inference(monotonicity,[status(thm)],[16590])).
% 13.99/9.76 tff(16592,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s192, c_busy)) | (~always3(s192)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s192)) | (~m_main_v_state(s192, c_busy)))),
% 13.99/9.76 inference(transitivity,[status(thm)],[16591, 16589])).
% 13.99/9.76 tff(16593,plain,
% 13.99/9.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s192, c_busy)) | (~always3(s192)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16594,plain,
% 13.99/9.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s192)) | (~m_main_v_state(s192, c_busy))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 13.99/9.76 tff(16595,plain,
% 13.99/9.76 (~m_main_v_state(s192, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16594, 85, 16577])).
% 13.99/9.76 tff(16596,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16597,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16598,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16597, 16596])).
% 13.99/9.76 tff(16599,plain,
% 13.99/9.76 ($false),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16598, 102, 16595, 16588])).
% 13.99/9.76 tff(16600,plain,(~node4(s192)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.76 tff(16601,plain,
% 13.99/9.76 (xuntil6(s192) | (~until5(s192))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15710, 294, 16600])).
% 13.99/9.76 tff(16602,plain,
% 13.99/9.76 (~until5(s192)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16601, 16571])).
% 13.99/9.76 tff(16603,plain,
% 13.99/9.76 (~xuntil6(s191)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15699, 16602])).
% 13.99/9.76 tff(16604,assumption,(node4(s191)), introduced(assumption)).
% 13.99/9.76 tff(16605,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s191) | (~node4(s191)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s191) | (~node4(s191)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16606,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s191) | (~node4(s191)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16607,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s191) | (~node4(s191))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 13.99/9.76 tff(16608,plain,
% 13.99/9.76 (m_main_v_request(s191)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16607, 21, 16604])).
% 13.99/9.76 tff(16609,plain,
% 13.99/9.76 (always3(s191)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15686, 36, 16604])).
% 13.99/9.76 tff(16610,plain,
% 13.99/9.76 (always3(s192)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15480, 16609])).
% 13.99/9.76 tff(16611,plain,
% 13.99/9.76 (~m_main_v_state(s192, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16594, 85, 16610])).
% 13.99/9.76 tff(16612,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s191)) | (~m_main_v_state(s191, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s191)) | (~m_main_v_state(s191, c_busy)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16613,plain,
% 13.99/9.76 (((~m_main_v_state(s191, c_busy)) | (~always3(s191))) <=> ((~always3(s191)) | (~m_main_v_state(s191, c_busy)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16614,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s191, c_busy)) | (~always3(s191)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s191)) | (~m_main_v_state(s191, c_busy))))),
% 13.99/9.76 inference(monotonicity,[status(thm)],[16613])).
% 13.99/9.76 tff(16615,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s191, c_busy)) | (~always3(s191)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s191)) | (~m_main_v_state(s191, c_busy)))),
% 13.99/9.76 inference(transitivity,[status(thm)],[16614, 16612])).
% 13.99/9.76 tff(16616,plain,
% 13.99/9.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s191, c_busy)) | (~always3(s191)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16617,plain,
% 13.99/9.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s191)) | (~m_main_v_state(s191, c_busy))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16616, 16615])).
% 13.99/9.76 tff(16618,plain,
% 13.99/9.76 (~m_main_v_state(s191, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16617, 85, 16609])).
% 13.99/9.76 tff(16619,assumption,(~m_main_v_state(s191, c_busy)), introduced(assumption)).
% 13.99/9.76 tff(16620,assumption,(~m_main_v_state(s191, c_ready)), introduced(assumption)).
% 13.99/9.76 tff(16621,plain,
% 13.99/9.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s190, s191)) | node2(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s190, s191)) | node2(s190, s191))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16622,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s190, s191)) | node2(s190, s191))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16623,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s190, s191)) | node2(s190, s191)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16622, 16621])).
% 13.99/9.76 tff(16624,plain,
% 13.99/9.76 (node2(s190, s191)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16623, 7, 15488])).
% 13.99/9.76 tff(16625,plain,
% 13.99/9.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s190, s191)) | m_main_v_state(s191, c_busy) | node1(s190) | m_main_v_state(s191, 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(s190, s191)) | m_main_v_state(s191, c_busy) | node1(s190) | m_main_v_state(s191, c_ready))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16626,plain,
% 13.99/9.76 ((node1(s190) | m_main_v_state(s191, c_ready) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy)) <=> ((~node2(s190, s191)) | m_main_v_state(s191, c_busy) | node1(s190) | m_main_v_state(s191, c_ready))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16627,plain,
% 13.99/9.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s190) | m_main_v_state(s191, c_ready) | (~node2(s190, s191)) | m_main_v_state(s191, 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(s190, s191)) | m_main_v_state(s191, c_busy) | node1(s190) | m_main_v_state(s191, c_ready)))),
% 13.99/9.76 inference(monotonicity,[status(thm)],[16626])).
% 13.99/9.76 tff(16628,plain,
% 13.99/9.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s190) | m_main_v_state(s191, c_ready) | (~node2(s190, s191)) | m_main_v_state(s191, 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(s190, s191)) | m_main_v_state(s191, c_busy) | node1(s190) | m_main_v_state(s191, c_ready))),
% 13.99/9.76 inference(transitivity,[status(thm)],[16627, 16625])).
% 13.99/9.76 tff(16629,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s190) | m_main_v_state(s191, c_ready) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16630,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | node1(s190) | m_main_v_state(s191, c_ready)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 13.99/9.76 tff(16631,plain,
% 13.99/9.76 (m_main_v_state(s191, c_busy) | node1(s190) | m_main_v_state(s191, c_ready)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16630, 3551, 16624])).
% 13.99/9.76 tff(16632,plain,
% 13.99/9.76 (node1(s190)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16631, 16619, 16620])).
% 13.99/9.76 tff(16633,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s190, c_ready) | (~node1(s190)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s190, c_ready) | (~node1(s190)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16634,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s190, c_ready) | (~node1(s190)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16635,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s190, c_ready) | (~node1(s190))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 13.99/9.76 tff(16636,plain,
% 13.99/9.76 (m_main_v_state(s190, c_ready)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16635, 3581, 16632])).
% 13.99/9.76 tff(16637,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s190) | (~node1(s190)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s190) | (~node1(s190)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16638,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s190) | (~node1(s190)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16639,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s190) | (~node1(s190))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16638, 16637])).
% 13.99/9.76 tff(16640,plain,
% 13.99/9.76 (m_main_v_request(s190)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16639, 3568, 16632])).
% 13.99/9.76 tff(16641,plain,
% 13.99/9.76 (((~![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(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16642,plain,
% 13.99/9.76 ((~![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(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16643,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16642, 16641])).
% 13.99/9.76 tff(16644,plain,
% 13.99/9.76 ((~m_main_v_state(s190, c_ready)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16643, 73, 16624])).
% 13.99/9.76 tff(16645,plain,
% 13.99/9.76 ($false),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16644, 16640, 16636, 16619])).
% 13.99/9.76 tff(16646,plain,(m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.76 tff(16647,plain,
% 13.99/9.76 (m_main_v_state(s191, c_ready)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16646, 16618])).
% 13.99/9.76 tff(16648,plain,
% 13.99/9.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s191, s192)) | node2(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s191, s192)) | node2(s191, s192))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16649,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s191, s192)) | node2(s191, s192))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16650,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s191, s192)) | node2(s191, s192)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16649, 16648])).
% 13.99/9.76 tff(16651,plain,
% 13.99/9.76 (node2(s191, s192)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16650, 7, 15476])).
% 13.99/9.76 tff(16652,plain,
% 13.99/9.76 (((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16653,plain,
% 13.99/9.76 ((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16654,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 13.99/9.76 tff(16655,plain,
% 13.99/9.76 ((~m_main_v_state(s191, c_ready)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16654, 73, 16651])).
% 13.99/9.76 tff(16656,plain,
% 13.99/9.76 ($false),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16655, 16647, 16611, 16608])).
% 13.99/9.76 tff(16657,plain,(~node4(s191)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.76 tff(16658,plain,
% 13.99/9.76 (xuntil6(s191) | (~until5(s191))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15693, 294, 16657])).
% 13.99/9.76 tff(16659,plain,
% 13.99/9.76 (~until5(s191)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16658, 16603])).
% 13.99/9.76 tff(16660,plain,
% 13.99/9.76 (~xuntil6(s190)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15682, 16659])).
% 13.99/9.76 tff(16661,assumption,(node4(s190)), introduced(assumption)).
% 13.99/9.76 tff(16662,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s190) | (~node4(s190)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s190) | (~node4(s190)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16663,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s190) | (~node4(s190)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16664,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s190) | (~node4(s190))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16663, 16662])).
% 13.99/9.76 tff(16665,plain,
% 13.99/9.76 (m_main_v_request(s190)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16664, 21, 16661])).
% 13.99/9.76 tff(16666,plain,
% 13.99/9.76 (always3(s190)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15669, 36, 16661])).
% 13.99/9.76 tff(16667,plain,
% 13.99/9.76 (always3(s191)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15492, 16666])).
% 13.99/9.76 tff(16668,plain,
% 13.99/9.76 (~m_main_v_state(s191, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16617, 85, 16667])).
% 13.99/9.76 tff(16669,plain,
% 13.99/9.76 (~m_main_v_state(s190, c_ready)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16644, 16668, 16665])).
% 13.99/9.76 tff(16670,plain,
% 13.99/9.76 (~m_main_v_state(s190, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16255, 85, 16666])).
% 13.99/9.76 tff(16671,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16672,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16673,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16672, 16671])).
% 13.99/9.76 tff(16674,plain,
% 13.99/9.76 ($false),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16673, 102, 16670, 16669])).
% 13.99/9.76 tff(16675,plain,(~node4(s190)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.76 tff(16676,plain,
% 13.99/9.76 (xuntil6(s190) | (~until5(s190))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15676, 294, 16675])).
% 13.99/9.76 tff(16677,plain,
% 13.99/9.76 (~until5(s190)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16676, 16660])).
% 13.99/9.76 tff(16678,plain,
% 13.99/9.76 (~xuntil6(s189)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15665, 16677])).
% 13.99/9.76 tff(16679,plain,
% 13.99/9.76 (~until5(s189)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15659, 294, 16678, 16281])).
% 13.99/9.76 tff(16680,plain,
% 13.99/9.76 (~xuntil6(s188)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15648, 16679])).
% 13.99/9.76 tff(16681,assumption,(~xuntil6(s188)), introduced(assumption)).
% 13.99/9.76 tff(16682,assumption,(~always3(s188)), introduced(assumption)).
% 13.99/9.76 tff(16683,plain,
% 13.99/9.76 (~always3(s187)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15528, 16682])).
% 13.99/9.76 tff(16684,plain,
% 13.99/9.76 (~node4(s187)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15618, 36, 16683])).
% 13.99/9.76 tff(16685,plain,
% 13.99/9.76 (~node4(s188)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15635, 36, 16682])).
% 13.99/9.76 tff(16686,plain,
% 13.99/9.76 (node4(s188) | (~until5(s188))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15642, 294, 16681])).
% 13.99/9.76 tff(16687,plain,
% 13.99/9.76 (~until5(s188)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16686, 16685])).
% 13.99/9.76 tff(16688,plain,
% 13.99/9.76 (~xuntil6(s187)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15631, 16687])).
% 13.99/9.76 tff(16689,plain,
% 13.99/9.76 (~until5(s187)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15625, 294, 16688, 16684])).
% 13.99/9.76 tff(16690,plain,
% 13.99/9.76 (~xuntil6(s186)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15614, 16689])).
% 13.99/9.76 tff(16691,plain,
% 13.99/9.76 (~always3(s186)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15540, 16683])).
% 13.99/9.76 tff(16692,plain,
% 13.99/9.76 (~always3(s185)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15552, 16691])).
% 13.99/9.76 tff(16693,plain,
% 13.99/9.76 (~node4(s185)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15556, 36, 16692])).
% 13.99/9.76 tff(16694,plain,
% 13.99/9.76 (~always3(s184)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15568, 16692])).
% 13.99/9.76 tff(16695,plain,
% 13.99/9.76 (~node4(s184)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15572, 36, 16694])).
% 13.99/9.76 tff(16696,plain,
% 13.99/9.76 (xuntil6(s184)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15580, 16695])).
% 13.99/9.76 tff(16697,plain,
% 13.99/9.76 (until5(s185)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15585, 16696])).
% 13.99/9.76 tff(16698,plain,
% 13.99/9.76 (xuntil6(s185)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15592, 294, 16697, 16693])).
% 13.99/9.76 tff(16699,plain,
% 13.99/9.76 (until5(s186)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15597, 16698])).
% 13.99/9.76 tff(16700,plain,
% 13.99/9.76 (~node4(s186)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15601, 36, 16691])).
% 13.99/9.76 tff(16701,plain,
% 13.99/9.76 (xuntil6(s186) | (~until5(s186))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15608, 294, 16700])).
% 13.99/9.76 tff(16702,plain,
% 13.99/9.76 ($false),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16701, 16699, 16690])).
% 13.99/9.76 tff(16703,plain,(always3(s188) | (~until5(s184)) | xuntil6(s188)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.76 tff(16704,plain,
% 13.99/9.76 (always3(s188)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16703, 16681, 14862])).
% 13.99/9.76 tff(16705,plain,
% 13.99/9.76 (always3(s189)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15516, 16704])).
% 13.99/9.76 tff(16706,plain,
% 13.99/9.76 (~m_main_v_state(s189, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16271, 85, 16705])).
% 13.99/9.76 tff(16707,assumption,(until5(s188)), introduced(assumption)).
% 13.99/9.76 tff(16708,plain,
% 13.99/9.76 (xuntil6(s188) | node4(s188)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15642, 294, 16707])).
% 13.99/9.76 tff(16709,plain,
% 13.99/9.76 (node4(s188)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16708, 16681])).
% 13.99/9.76 tff(16710,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s188) | (~node4(s188)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s188) | (~node4(s188)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16711,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s188) | (~node4(s188)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16712,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s188) | (~node4(s188))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16711, 16710])).
% 13.99/9.76 tff(16713,plain,
% 13.99/9.76 (m_main_v_request(s188)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16712, 21, 16709])).
% 13.99/9.76 tff(16714,plain,
% 13.99/9.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s188, s189)) | node2(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s188, s189)) | node2(s188, s189))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16715,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s188, s189)) | node2(s188, s189))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16716,plain,
% 13.99/9.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s188, s189)) | node2(s188, s189)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16715, 16714])).
% 13.99/9.76 tff(16717,plain,
% 13.99/9.76 (node2(s188, s189)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16716, 7, 15512])).
% 13.99/9.76 tff(16718,plain,
% 13.99/9.76 (((~![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(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16719,plain,
% 13.99/9.76 ((~![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(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16720,plain,
% 13.99/9.76 ((~![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(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16719, 16718])).
% 13.99/9.76 tff(16721,plain,
% 13.99/9.76 ((~m_main_v_state(s188, c_ready)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16720, 73, 16717])).
% 13.99/9.76 tff(16722,plain,
% 13.99/9.76 (~m_main_v_state(s188, c_ready)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16721, 16713, 16706])).
% 13.99/9.76 tff(16723,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s188)) | (~m_main_v_state(s188, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s188)) | (~m_main_v_state(s188, c_busy)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16724,plain,
% 13.99/9.76 (((~m_main_v_state(s188, c_busy)) | (~always3(s188))) <=> ((~always3(s188)) | (~m_main_v_state(s188, c_busy)))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16725,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s188, c_busy)) | (~always3(s188)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s188)) | (~m_main_v_state(s188, c_busy))))),
% 13.99/9.76 inference(monotonicity,[status(thm)],[16724])).
% 13.99/9.76 tff(16726,plain,
% 13.99/9.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s188, c_busy)) | (~always3(s188)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s188)) | (~m_main_v_state(s188, c_busy)))),
% 13.99/9.76 inference(transitivity,[status(thm)],[16725, 16723])).
% 13.99/9.76 tff(16727,plain,
% 13.99/9.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s188, c_busy)) | (~always3(s188)))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16728,plain,
% 13.99/9.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s188)) | (~m_main_v_state(s188, c_busy))),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16727, 16726])).
% 13.99/9.76 tff(16729,plain,
% 13.99/9.76 (~m_main_v_state(s188, c_busy)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16728, 85, 16704])).
% 13.99/9.76 tff(16730,plain,
% 13.99/9.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready))),
% 13.99/9.76 inference(rewrite,[status(thm)],[])).
% 13.99/9.76 tff(16731,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready))),
% 13.99/9.76 inference(quant_inst,[status(thm)],[])).
% 13.99/9.76 tff(16732,plain,
% 13.99/9.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready)),
% 13.99/9.76 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 13.99/9.76 tff(16733,plain,
% 13.99/9.76 ($false),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16732, 102, 16729, 16722])).
% 13.99/9.76 tff(16734,plain,(xuntil6(s188) | (~until5(s188)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 13.99/9.76 tff(16735,plain,
% 13.99/9.76 (~until5(s188)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16734, 16680, 14862])).
% 13.99/9.76 tff(16736,plain,
% 13.99/9.76 (~xuntil6(s187)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15631, 16735])).
% 13.99/9.76 tff(16737,plain,
% 13.99/9.76 (~until5(s187)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15625, 294, 16736, 16278])).
% 13.99/9.76 tff(16738,plain,
% 13.99/9.76 (~xuntil6(s186)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15614, 16737])).
% 13.99/9.76 tff(16739,assumption,(~always3(s186)), introduced(assumption)).
% 13.99/9.76 tff(16740,plain,
% 13.99/9.76 (~always3(s185)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15552, 16739])).
% 13.99/9.76 tff(16741,plain,
% 13.99/9.76 (~node4(s185)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15556, 36, 16740])).
% 13.99/9.76 tff(16742,plain,
% 13.99/9.76 (~node4(s186)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15601, 36, 16739])).
% 13.99/9.76 tff(16743,assumption,(~xuntil6(s186)), introduced(assumption)).
% 13.99/9.76 tff(16744,plain,
% 13.99/9.76 (node4(s186) | (~until5(s186))),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[15608, 294, 16743])).
% 13.99/9.76 tff(16745,plain,
% 13.99/9.76 (~until5(s186)),
% 13.99/9.76 inference(unit_resolution,[status(thm)],[16744, 16742])).
% 13.99/9.76 tff(16746,plain,
% 13.99/9.77 (~xuntil6(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15597, 16745])).
% 13.99/9.77 tff(16747,plain,
% 13.99/9.77 (~always3(s184)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15568, 16740])).
% 13.99/9.77 tff(16748,plain,
% 13.99/9.77 (~node4(s184)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15572, 36, 16747])).
% 13.99/9.77 tff(16749,plain,
% 13.99/9.77 (xuntil6(s184)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15580, 16748])).
% 13.99/9.77 tff(16750,plain,
% 13.99/9.77 (until5(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15585, 16749])).
% 13.99/9.77 tff(16751,plain,
% 13.99/9.77 ($false),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15592, 294, 16750, 16746, 16741])).
% 13.99/9.77 tff(16752,plain,(always3(s186) | (~until5(s184)) | xuntil6(s186)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.77 tff(16753,plain,
% 13.99/9.77 (always3(s186)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16752, 16738, 14862])).
% 13.99/9.77 tff(16754,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s186)) | (~m_main_v_state(s186, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s186)) | (~m_main_v_state(s186, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16755,plain,
% 13.99/9.77 (((~m_main_v_state(s186, c_busy)) | (~always3(s186))) <=> ((~always3(s186)) | (~m_main_v_state(s186, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16756,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s186, c_busy)) | (~always3(s186)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s186)) | (~m_main_v_state(s186, c_busy))))),
% 13.99/9.77 inference(monotonicity,[status(thm)],[16755])).
% 13.99/9.77 tff(16757,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s186, c_busy)) | (~always3(s186)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s186)) | (~m_main_v_state(s186, c_busy)))),
% 13.99/9.77 inference(transitivity,[status(thm)],[16756, 16754])).
% 13.99/9.77 tff(16758,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s186, c_busy)) | (~always3(s186)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16759,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s186)) | (~m_main_v_state(s186, c_busy))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16758, 16757])).
% 13.99/9.77 tff(16760,plain,
% 13.99/9.77 (~m_main_v_state(s186, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16759, 85, 16753])).
% 13.99/9.77 tff(16761,plain,
% 13.99/9.77 (always3(s186)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16752, 16743, 14862])).
% 13.99/9.77 tff(16762,plain,
% 13.99/9.77 (always3(s187)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15540, 16761])).
% 13.99/9.77 tff(16763,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s187)) | (~m_main_v_state(s187, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s187)) | (~m_main_v_state(s187, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16764,plain,
% 13.99/9.77 (((~m_main_v_state(s187, c_busy)) | (~always3(s187))) <=> ((~always3(s187)) | (~m_main_v_state(s187, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16765,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s187, c_busy)) | (~always3(s187)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s187)) | (~m_main_v_state(s187, c_busy))))),
% 13.99/9.77 inference(monotonicity,[status(thm)],[16764])).
% 13.99/9.77 tff(16766,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s187, c_busy)) | (~always3(s187)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s187)) | (~m_main_v_state(s187, c_busy)))),
% 13.99/9.77 inference(transitivity,[status(thm)],[16765, 16763])).
% 13.99/9.77 tff(16767,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s187, c_busy)) | (~always3(s187)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16768,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s187)) | (~m_main_v_state(s187, c_busy))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 13.99/9.77 tff(16769,plain,
% 13.99/9.77 (~m_main_v_state(s187, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16768, 85, 16762])).
% 13.99/9.77 tff(16770,assumption,(until5(s186)), introduced(assumption)).
% 13.99/9.77 tff(16771,plain,
% 13.99/9.77 (xuntil6(s186) | node4(s186)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15608, 294, 16770])).
% 13.99/9.77 tff(16772,plain,
% 13.99/9.77 (node4(s186)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16771, 16743])).
% 13.99/9.77 tff(16773,plain,
% 13.99/9.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s186) | (~node4(s186)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s186) | (~node4(s186)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16774,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s186) | (~node4(s186)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16775,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s186) | (~node4(s186))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16774, 16773])).
% 13.99/9.77 tff(16776,plain,
% 13.99/9.77 (m_main_v_request(s186)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16775, 21, 16772])).
% 13.99/9.77 tff(16777,plain,
% 13.99/9.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s186, s187)) | node2(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s186, s187)) | node2(s186, s187))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16778,plain,
% 13.99/9.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s186, s187)) | node2(s186, s187))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16779,plain,
% 13.99/9.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s186, s187)) | node2(s186, s187)),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16778, 16777])).
% 13.99/9.77 tff(16780,plain,
% 13.99/9.77 (node2(s186, s187)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16779, 7, 15536])).
% 13.99/9.77 tff(16781,plain,
% 13.99/9.77 (((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16782,plain,
% 13.99/9.77 ((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16783,plain,
% 13.99/9.77 ((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16782, 16781])).
% 13.99/9.77 tff(16784,plain,
% 13.99/9.77 ((~m_main_v_state(s186, c_ready)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16783, 73, 16780])).
% 13.99/9.77 tff(16785,plain,
% 13.99/9.77 (~m_main_v_state(s186, c_ready)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16784, 16776, 16769])).
% 13.99/9.77 tff(16786,plain,
% 13.99/9.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16787,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16788,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready)),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16787, 16786])).
% 13.99/9.77 tff(16789,plain,
% 13.99/9.77 (m_main_v_state(s186, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16788, 102, 16785])).
% 13.99/9.77 tff(16790,plain,
% 13.99/9.77 ($false),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16759, 85, 16761, 16789])).
% 13.99/9.77 tff(16791,plain,(xuntil6(s186) | (~until5(s186)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 13.99/9.77 tff(16792,plain,
% 13.99/9.77 (~until5(s186)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16791, 16738, 14862])).
% 13.99/9.77 tff(16793,plain,
% 13.99/9.77 (~xuntil6(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15597, 16792])).
% 13.99/9.77 tff(16794,assumption,(node4(s184)), introduced(assumption)).
% 13.99/9.77 tff(16795,plain,
% 13.99/9.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s184) | (~node4(s184)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s184) | (~node4(s184)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16796,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s184) | (~node4(s184)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16797,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s184) | (~node4(s184))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16796, 16795])).
% 13.99/9.77 tff(16798,plain,
% 13.99/9.77 (m_main_v_request(s184)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16797, 21, 16794])).
% 13.99/9.77 tff(16799,plain,
% 13.99/9.77 (always3(s184)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15572, 36, 16794])).
% 13.99/9.77 tff(16800,plain,
% 13.99/9.77 (always3(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15568, 16799])).
% 13.99/9.77 tff(16801,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s185)) | (~m_main_v_state(s185, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s185)) | (~m_main_v_state(s185, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16802,plain,
% 13.99/9.77 (((~m_main_v_state(s185, c_busy)) | (~always3(s185))) <=> ((~always3(s185)) | (~m_main_v_state(s185, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16803,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s185, c_busy)) | (~always3(s185)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s185)) | (~m_main_v_state(s185, c_busy))))),
% 13.99/9.77 inference(monotonicity,[status(thm)],[16802])).
% 13.99/9.77 tff(16804,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s185, c_busy)) | (~always3(s185)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s185)) | (~m_main_v_state(s185, c_busy)))),
% 13.99/9.77 inference(transitivity,[status(thm)],[16803, 16801])).
% 13.99/9.77 tff(16805,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s185, c_busy)) | (~always3(s185)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16806,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s185)) | (~m_main_v_state(s185, c_busy))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16805, 16804])).
% 13.99/9.77 tff(16807,plain,
% 13.99/9.77 (~m_main_v_state(s185, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16806, 85, 16800])).
% 13.99/9.77 tff(16808,plain,
% 13.99/9.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s184, s185)) | node2(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s184, s185)) | node2(s184, s185))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16809,plain,
% 13.99/9.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s184, s185)) | node2(s184, s185))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16810,plain,
% 13.99/9.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s184, s185)) | node2(s184, s185)),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16809, 16808])).
% 13.99/9.77 tff(16811,plain,
% 13.99/9.77 (node2(s184, s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16810, 7, 15564])).
% 13.99/9.77 tff(16812,plain,
% 13.99/9.77 (((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16813,plain,
% 13.99/9.77 ((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16814,plain,
% 13.99/9.77 ((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16813, 16812])).
% 13.99/9.77 tff(16815,plain,
% 13.99/9.77 ((~m_main_v_state(s184, c_ready)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16814, 73, 16811])).
% 13.99/9.77 tff(16816,plain,
% 13.99/9.77 (~m_main_v_state(s184, c_ready)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16815, 16807, 16798])).
% 13.99/9.77 tff(16817,plain,
% 13.99/9.77 (~m_main_v_state(s184, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[14490, 85, 16799])).
% 13.99/9.77 tff(16818,plain,
% 13.99/9.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16819,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16820,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready)),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16819, 16818])).
% 13.99/9.77 tff(16821,plain,
% 13.99/9.77 ($false),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16820, 102, 16817, 16816])).
% 13.99/9.77 tff(16822,plain,(~node4(s184)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.77 tff(16823,plain,
% 13.99/9.77 (xuntil6(s184) | (~until5(s184))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15579, 294, 16822])).
% 13.99/9.77 tff(16824,plain,
% 13.99/9.77 (xuntil6(s184)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16823, 14862])).
% 13.99/9.77 tff(16825,plain,
% 13.99/9.77 (until5(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15585, 16824])).
% 13.99/9.77 tff(16826,plain,
% 13.99/9.77 (xuntil6(s185) | node4(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15592, 294, 16825])).
% 13.99/9.77 tff(16827,plain,
% 13.99/9.77 (node4(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16826, 16793])).
% 13.99/9.77 tff(16828,plain,
% 13.99/9.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s185) | (~node4(s185)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s185) | (~node4(s185)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16829,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s185) | (~node4(s185)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16830,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s185) | (~node4(s185))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16829, 16828])).
% 13.99/9.77 tff(16831,plain,
% 13.99/9.77 (m_main_v_request(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16830, 21, 16827])).
% 13.99/9.77 tff(16832,plain,
% 13.99/9.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s185, s186)) | node2(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s185, s186)) | node2(s185, s186))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16833,plain,
% 13.99/9.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s185, s186)) | node2(s185, s186))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16834,plain,
% 13.99/9.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s185, s186)) | node2(s185, s186)),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16833, 16832])).
% 13.99/9.77 tff(16835,plain,
% 13.99/9.77 (node2(s185, s186)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16834, 7, 15548])).
% 13.99/9.77 tff(16836,plain,
% 13.99/9.77 (((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16837,plain,
% 13.99/9.77 ((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16838,plain,
% 13.99/9.77 ((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16837, 16836])).
% 13.99/9.77 tff(16839,plain,
% 13.99/9.77 ((~m_main_v_state(s185, c_ready)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16838, 73, 16835])).
% 13.99/9.77 tff(16840,plain,
% 13.99/9.77 (~m_main_v_state(s185, c_ready)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16839, 16831, 16760])).
% 13.99/9.77 tff(16841,plain,
% 13.99/9.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16842,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16843,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready)),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 13.99/9.77 tff(16844,plain,
% 13.99/9.77 (m_main_v_state(s185, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16843, 102, 16840])).
% 13.99/9.77 tff(16845,plain,
% 13.99/9.77 (always3(s185)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15556, 36, 16827])).
% 13.99/9.77 tff(16846,plain,
% 13.99/9.77 ($false),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16806, 85, 16845, 16844])).
% 13.99/9.77 tff(16847,plain,((~until5(s184)) | node4(s187) | node4(s189) | node4(s194) | node4(s196) | xuntil6(s200)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.77 tff(16848,plain,
% 13.99/9.77 (xuntil6(s200)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16847, 14862, 16280, 16279, 16278, 16277])).
% 13.99/9.77 tff(16849,plain,
% 13.99/9.77 (until5(s201)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15846, 16848])).
% 13.99/9.77 tff(16850,assumption,(node4(s201)), introduced(assumption)).
% 13.99/9.77 tff(16851,plain,
% 13.99/9.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s201) | (~node4(s201)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s201) | (~node4(s201)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16852,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s201) | (~node4(s201)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16853,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s201) | (~node4(s201))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 13.99/9.77 tff(16854,plain,
% 13.99/9.77 (m_main_v_request(s201)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16853, 21, 16850])).
% 13.99/9.77 tff(16855,plain,
% 13.99/9.77 (always3(s201)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15850, 36, 16850])).
% 13.99/9.77 tff(16856,plain,
% 13.99/9.77 (always3(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15382, 16855])).
% 13.99/9.77 tff(16857,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s202)) | (~m_main_v_state(s202, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s202)) | (~m_main_v_state(s202, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16858,plain,
% 13.99/9.77 (((~m_main_v_state(s202, c_busy)) | (~always3(s202))) <=> ((~always3(s202)) | (~m_main_v_state(s202, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16859,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s202, c_busy)) | (~always3(s202)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s202)) | (~m_main_v_state(s202, c_busy))))),
% 13.99/9.77 inference(monotonicity,[status(thm)],[16858])).
% 13.99/9.77 tff(16860,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s202, c_busy)) | (~always3(s202)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s202)) | (~m_main_v_state(s202, c_busy)))),
% 13.99/9.77 inference(transitivity,[status(thm)],[16859, 16857])).
% 13.99/9.77 tff(16861,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s202, c_busy)) | (~always3(s202)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16862,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s202)) | (~m_main_v_state(s202, c_busy))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16861, 16860])).
% 13.99/9.77 tff(16863,plain,
% 13.99/9.77 (~m_main_v_state(s202, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16862, 85, 16856])).
% 13.99/9.77 tff(16864,plain,
% 13.99/9.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s201, s202)) | node2(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s201, s202)) | node2(s201, s202))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16865,plain,
% 13.99/9.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s201, s202)) | node2(s201, s202))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16866,plain,
% 13.99/9.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s201, s202)) | node2(s201, s202)),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16865, 16864])).
% 13.99/9.77 tff(16867,plain,
% 13.99/9.77 (node2(s201, s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16866, 7, 15378])).
% 13.99/9.77 tff(16868,plain,
% 13.99/9.77 (((~![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(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16869,plain,
% 13.99/9.77 ((~![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(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16870,plain,
% 13.99/9.77 ((~![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(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 13.99/9.77 tff(16871,plain,
% 13.99/9.77 ((~m_main_v_state(s201, c_ready)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16870, 73, 16867])).
% 13.99/9.77 tff(16872,plain,
% 13.99/9.77 (~m_main_v_state(s201, c_ready)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16871, 16863, 16854])).
% 13.99/9.77 tff(16873,plain,
% 13.99/9.77 (~m_main_v_state(s201, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16379, 85, 16855])).
% 13.99/9.77 tff(16874,plain,
% 13.99/9.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16875,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16876,plain,
% 13.99/9.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready)),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16875, 16874])).
% 13.99/9.77 tff(16877,plain,
% 13.99/9.77 ($false),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16876, 102, 16873, 16872])).
% 13.99/9.77 tff(16878,plain,(~node4(s201)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.77 tff(16879,plain,
% 13.99/9.77 (xuntil6(s201) | (~until5(s201))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15857, 294, 16878])).
% 13.99/9.77 tff(16880,plain,
% 13.99/9.77 (xuntil6(s201)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16879, 16849])).
% 13.99/9.77 tff(16881,plain,
% 13.99/9.77 (until5(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15863, 16880])).
% 13.99/9.77 tff(16882,assumption,(until5(s202)), introduced(assumption)).
% 13.99/9.77 tff(16883,assumption,(~xuntil6(s208)), introduced(assumption)).
% 13.99/9.77 tff(16884,assumption,(~always3(s208)), introduced(assumption)).
% 13.99/9.77 tff(16885,plain,
% 13.99/9.77 (~always3(s207)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15225, 16884])).
% 13.99/9.77 tff(16886,plain,
% 13.99/9.77 (~node4(s207)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15229, 36, 16885])).
% 13.99/9.77 tff(16887,plain,
% 13.99/9.77 (~node4(s208)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15200, 36, 16884])).
% 13.99/9.77 tff(16888,plain,
% 13.99/9.77 (node4(s208) | (~until5(s208))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15207, 294, 16883])).
% 13.99/9.77 tff(16889,plain,
% 13.99/9.77 (~until5(s208)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16888, 16887])).
% 13.99/9.77 tff(16890,plain,
% 13.99/9.77 (~xuntil6(s207)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15216, 16889])).
% 13.99/9.77 tff(16891,plain,
% 13.99/9.77 (~until5(s207)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15236, 294, 16890, 16886])).
% 13.99/9.77 tff(16892,plain,
% 13.99/9.77 (~xuntil6(s206)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15245, 16891])).
% 13.99/9.77 tff(16893,plain,
% 13.99/9.77 (~always3(s206)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15254, 16885])).
% 13.99/9.77 tff(16894,plain,
% 13.99/9.77 (~node4(s206)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15258, 36, 16893])).
% 13.99/9.77 tff(16895,plain,
% 13.99/9.77 (xuntil6(s206) | (~until5(s206))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15265, 294, 16894])).
% 13.99/9.77 tff(16896,plain,
% 13.99/9.77 (~until5(s206)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16895, 16892])).
% 13.99/9.77 tff(16897,plain,
% 13.99/9.77 (~xuntil6(s205)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15274, 16896])).
% 13.99/9.77 tff(16898,plain,
% 13.99/9.77 (~always3(s205)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15283, 16893])).
% 13.99/9.77 tff(16899,plain,
% 13.99/9.77 (~always3(s204)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15312, 16898])).
% 13.99/9.77 tff(16900,plain,
% 13.99/9.77 (~always3(s203)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15341, 16899])).
% 13.99/9.77 tff(16901,plain,
% 13.99/9.77 (~node4(s203)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15345, 36, 16900])).
% 13.99/9.77 tff(16902,plain,
% 13.99/9.77 (~always3(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15370, 16900])).
% 13.99/9.77 tff(16903,plain,
% 13.99/9.77 (~node4(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15867, 36, 16902])).
% 13.99/9.77 tff(16904,plain,
% 13.99/9.77 (xuntil6(s202) | node4(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15874, 294, 16882])).
% 13.99/9.77 tff(16905,plain,
% 13.99/9.77 (xuntil6(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16904, 16903])).
% 13.99/9.77 tff(16906,plain,
% 13.99/9.77 (until5(s203)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15361, 16905])).
% 13.99/9.77 tff(16907,plain,
% 13.99/9.77 (xuntil6(s203)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15352, 294, 16906, 16901])).
% 13.99/9.77 tff(16908,plain,
% 13.99/9.77 (until5(s204)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15332, 16907])).
% 13.99/9.77 tff(16909,plain,
% 13.99/9.77 (~node4(s204)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15316, 36, 16899])).
% 13.99/9.77 tff(16910,plain,
% 13.99/9.77 (xuntil6(s204) | (~until5(s204))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15323, 294, 16909])).
% 13.99/9.77 tff(16911,plain,
% 13.99/9.77 (xuntil6(s204)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16910, 16908])).
% 13.99/9.77 tff(16912,plain,
% 13.99/9.77 (until5(s205)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15303, 16911])).
% 13.99/9.77 tff(16913,plain,
% 13.99/9.77 (~node4(s205)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15287, 36, 16898])).
% 13.99/9.77 tff(16914,plain,
% 13.99/9.77 (xuntil6(s205) | (~until5(s205))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15294, 294, 16913])).
% 13.99/9.77 tff(16915,plain,
% 13.99/9.77 ($false),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16914, 16912, 16897])).
% 13.99/9.77 tff(16916,plain,(always3(s208) | (~until5(s202)) | xuntil6(s208)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.77 tff(16917,plain,
% 13.99/9.77 (always3(s208)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16916, 16883, 16882])).
% 13.99/9.77 tff(16918,plain,
% 13.99/9.77 (always3(s209)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15196, 16917])).
% 13.99/9.77 tff(16919,plain,
% 13.99/9.77 (~m_main_v_state(s209, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[14855, 85, 16918])).
% 13.99/9.77 tff(16920,assumption,(~xuntil6(s203)), introduced(assumption)).
% 13.99/9.77 tff(16921,assumption,(~always3(s203)), introduced(assumption)).
% 13.99/9.77 tff(16922,plain,
% 13.99/9.77 (~node4(s203)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15345, 36, 16921])).
% 13.99/9.77 tff(16923,plain,
% 13.99/9.77 (node4(s203) | (~until5(s203))),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15352, 294, 16920])).
% 13.99/9.77 tff(16924,plain,
% 13.99/9.77 (~until5(s203)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16923, 16922])).
% 13.99/9.77 tff(16925,plain,
% 13.99/9.77 (~always3(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15370, 16921])).
% 13.99/9.77 tff(16926,plain,
% 13.99/9.77 (~node4(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15867, 36, 16925])).
% 13.99/9.77 tff(16927,plain,
% 13.99/9.77 (xuntil6(s202)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16904, 16926])).
% 13.99/9.77 tff(16928,plain,
% 13.99/9.77 ($false),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15361, 16927, 16924])).
% 13.99/9.77 tff(16929,plain,(always3(s203) | (~until5(s202)) | xuntil6(s203)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.77 tff(16930,plain,
% 13.99/9.77 (always3(s203)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16929, 16920, 16882])).
% 13.99/9.77 tff(16931,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s203)) | (~m_main_v_state(s203, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s203)) | (~m_main_v_state(s203, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16932,plain,
% 13.99/9.77 (((~m_main_v_state(s203, c_busy)) | (~always3(s203))) <=> ((~always3(s203)) | (~m_main_v_state(s203, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16933,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s203, c_busy)) | (~always3(s203)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s203)) | (~m_main_v_state(s203, c_busy))))),
% 13.99/9.77 inference(monotonicity,[status(thm)],[16932])).
% 13.99/9.77 tff(16934,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s203, c_busy)) | (~always3(s203)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s203)) | (~m_main_v_state(s203, c_busy)))),
% 13.99/9.77 inference(transitivity,[status(thm)],[16933, 16931])).
% 13.99/9.77 tff(16935,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s203, c_busy)) | (~always3(s203)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16936,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s203)) | (~m_main_v_state(s203, c_busy))),
% 13.99/9.77 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 13.99/9.77 tff(16937,plain,
% 13.99/9.77 (~m_main_v_state(s203, c_busy)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[16936, 85, 16930])).
% 13.99/9.77 tff(16938,plain,
% 13.99/9.77 (always3(s204)),
% 13.99/9.77 inference(unit_resolution,[status(thm)],[15341, 16930])).
% 13.99/9.77 tff(16939,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s204)) | (~m_main_v_state(s204, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s204)) | (~m_main_v_state(s204, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16940,plain,
% 13.99/9.77 (((~m_main_v_state(s204, c_busy)) | (~always3(s204))) <=> ((~always3(s204)) | (~m_main_v_state(s204, c_busy)))),
% 13.99/9.77 inference(rewrite,[status(thm)],[])).
% 13.99/9.77 tff(16941,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s204, c_busy)) | (~always3(s204)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s204)) | (~m_main_v_state(s204, c_busy))))),
% 13.99/9.77 inference(monotonicity,[status(thm)],[16940])).
% 13.99/9.77 tff(16942,plain,
% 13.99/9.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s204, c_busy)) | (~always3(s204)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s204)) | (~m_main_v_state(s204, c_busy)))),
% 13.99/9.77 inference(transitivity,[status(thm)],[16941, 16939])).
% 13.99/9.77 tff(16943,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s204, c_busy)) | (~always3(s204)))),
% 13.99/9.77 inference(quant_inst,[status(thm)],[])).
% 13.99/9.77 tff(16944,plain,
% 13.99/9.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s204)) | (~m_main_v_state(s204, c_busy))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16943, 16942])).
% 13.99/9.78 tff(16945,plain,
% 13.99/9.78 (~m_main_v_state(s204, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16944, 85, 16938])).
% 13.99/9.78 tff(16946,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16947,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16948,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16947, 16946])).
% 13.99/9.78 tff(16949,plain,
% 13.99/9.78 (m_main_v_state(s203, c_ready)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16948, 102, 16937])).
% 13.99/9.78 tff(16950,plain,
% 13.99/9.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s203, s204)) | node2(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s203, s204)) | node2(s203, s204))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16951,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s203, s204)) | node2(s203, s204))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16952,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s203, s204)) | node2(s203, s204)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16951, 16950])).
% 13.99/9.78 tff(16953,plain,
% 13.99/9.78 (node2(s203, s204)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16952, 7, 15337])).
% 13.99/9.78 tff(16954,plain,
% 13.99/9.78 (((~![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(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16955,plain,
% 13.99/9.78 ((~![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(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16956,plain,
% 13.99/9.78 ((~![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(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16955, 16954])).
% 13.99/9.78 tff(16957,plain,
% 13.99/9.78 ((~m_main_v_state(s203, c_ready)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203))),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16956, 73, 16953])).
% 13.99/9.78 tff(16958,plain,
% 13.99/9.78 (~m_main_v_request(s203)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16957, 16949, 16945])).
% 13.99/9.78 tff(16959,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s203) | (~node4(s203)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s203) | (~node4(s203)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16960,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s203) | (~node4(s203)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16961,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s203) | (~node4(s203))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16960, 16959])).
% 13.99/9.78 tff(16962,plain,
% 13.99/9.78 (~node4(s203)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16961, 21, 16958])).
% 13.99/9.78 tff(16963,plain,
% 13.99/9.78 (~until5(s203)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16923, 16962])).
% 13.99/9.78 tff(16964,plain,
% 13.99/9.78 (~xuntil6(s202)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15361, 16963])).
% 13.99/9.78 tff(16965,plain,
% 13.99/9.78 (node4(s202)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16904, 16964])).
% 13.99/9.78 tff(16966,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s202) | (~node4(s202)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s202) | (~node4(s202)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16967,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s202) | (~node4(s202)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16968,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s202) | (~node4(s202))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16967, 16966])).
% 13.99/9.78 tff(16969,plain,
% 13.99/9.78 (m_main_v_request(s202)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16968, 21, 16965])).
% 13.99/9.78 tff(16970,plain,
% 13.99/9.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s202, s203)) | node2(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s202, s203)) | node2(s202, s203))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16971,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s202, s203)) | node2(s202, s203))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16972,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s202, s203)) | node2(s202, s203)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 13.99/9.78 tff(16973,plain,
% 13.99/9.78 (node2(s202, s203)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16972, 7, 15366])).
% 13.99/9.78 tff(16974,plain,
% 13.99/9.78 (((~![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(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16975,plain,
% 13.99/9.78 ((~![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(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16976,plain,
% 13.99/9.78 ((~![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(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16975, 16974])).
% 13.99/9.78 tff(16977,plain,
% 13.99/9.78 ((~m_main_v_state(s202, c_ready)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202))),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16976, 73, 16973])).
% 13.99/9.78 tff(16978,plain,
% 13.99/9.78 (~m_main_v_state(s202, c_ready)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16977, 16969, 16937])).
% 13.99/9.78 tff(16979,plain,
% 13.99/9.78 (always3(s202)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15867, 36, 16965])).
% 13.99/9.78 tff(16980,plain,
% 13.99/9.78 (~m_main_v_state(s202, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16862, 85, 16979])).
% 13.99/9.78 tff(16981,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16982,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16983,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16982, 16981])).
% 13.99/9.78 tff(16984,plain,
% 13.99/9.78 ($false),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16983, 102, 16980, 16978])).
% 13.99/9.78 tff(16985,plain,(xuntil6(s203) | (~until5(s202))), inference(lemma,lemma(discharge,[]))).
% 13.99/9.78 tff(16986,plain,
% 13.99/9.78 (xuntil6(s203)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16985, 16882])).
% 13.99/9.78 tff(16987,plain,
% 13.99/9.78 (until5(s204)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15332, 16986])).
% 13.99/9.78 tff(16988,assumption,(node4(s204)), introduced(assumption)).
% 13.99/9.78 tff(16989,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s204) | (~node4(s204)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s204) | (~node4(s204)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16990,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s204) | (~node4(s204)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(16991,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s204) | (~node4(s204))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16990, 16989])).
% 13.99/9.78 tff(16992,plain,
% 13.99/9.78 (m_main_v_request(s204)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16991, 21, 16988])).
% 13.99/9.78 tff(16993,plain,
% 13.99/9.78 (always3(s204)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15316, 36, 16988])).
% 13.99/9.78 tff(16994,plain,
% 13.99/9.78 (always3(s205)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15312, 16993])).
% 13.99/9.78 tff(16995,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s205)) | (~m_main_v_state(s205, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s205)) | (~m_main_v_state(s205, c_busy)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16996,plain,
% 13.99/9.78 (((~m_main_v_state(s205, c_busy)) | (~always3(s205))) <=> ((~always3(s205)) | (~m_main_v_state(s205, c_busy)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(16997,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s205, c_busy)) | (~always3(s205)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s205)) | (~m_main_v_state(s205, c_busy))))),
% 13.99/9.78 inference(monotonicity,[status(thm)],[16996])).
% 13.99/9.78 tff(16998,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s205, c_busy)) | (~always3(s205)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s205)) | (~m_main_v_state(s205, c_busy)))),
% 13.99/9.78 inference(transitivity,[status(thm)],[16997, 16995])).
% 13.99/9.78 tff(16999,plain,
% 13.99/9.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s205, c_busy)) | (~always3(s205)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17000,plain,
% 13.99/9.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s205)) | (~m_main_v_state(s205, c_busy))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[16999, 16998])).
% 13.99/9.78 tff(17001,plain,
% 13.99/9.78 (~m_main_v_state(s205, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17000, 85, 16994])).
% 13.99/9.78 tff(17002,plain,
% 13.99/9.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s204, s205)) | node2(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s204, s205)) | node2(s204, s205))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17003,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s204, s205)) | node2(s204, s205))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17004,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s204, s205)) | node2(s204, s205)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17003, 17002])).
% 13.99/9.78 tff(17005,plain,
% 13.99/9.78 (node2(s204, s205)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17004, 7, 15308])).
% 13.99/9.78 tff(17006,plain,
% 13.99/9.78 (((~![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(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17007,plain,
% 13.99/9.78 ((~![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(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17008,plain,
% 13.99/9.78 ((~![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(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17007, 17006])).
% 13.99/9.78 tff(17009,plain,
% 13.99/9.78 ((~m_main_v_state(s204, c_ready)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204))),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17008, 73, 17005])).
% 13.99/9.78 tff(17010,plain,
% 13.99/9.78 (~m_main_v_state(s204, c_ready)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17009, 17001, 16992])).
% 13.99/9.78 tff(17011,plain,
% 13.99/9.78 (~m_main_v_state(s204, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[16944, 85, 16993])).
% 13.99/9.78 tff(17012,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17013,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17014,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17013, 17012])).
% 13.99/9.78 tff(17015,plain,
% 13.99/9.78 ($false),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17014, 102, 17011, 17010])).
% 13.99/9.78 tff(17016,plain,(~node4(s204)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.78 tff(17017,plain,
% 13.99/9.78 (xuntil6(s204) | (~until5(s204))),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15323, 294, 17016])).
% 13.99/9.78 tff(17018,plain,
% 13.99/9.78 (xuntil6(s204)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17017, 16987])).
% 13.99/9.78 tff(17019,plain,
% 13.99/9.78 (until5(s205)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15303, 17018])).
% 13.99/9.78 tff(17020,assumption,(node4(s205)), introduced(assumption)).
% 13.99/9.78 tff(17021,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s205) | (~node4(s205)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s205) | (~node4(s205)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17022,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s205) | (~node4(s205)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17023,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s205) | (~node4(s205))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 13.99/9.78 tff(17024,plain,
% 13.99/9.78 (m_main_v_request(s205)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17023, 21, 17020])).
% 13.99/9.78 tff(17025,plain,
% 13.99/9.78 (always3(s205)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15287, 36, 17020])).
% 13.99/9.78 tff(17026,plain,
% 13.99/9.78 (always3(s206)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15283, 17025])).
% 13.99/9.78 tff(17027,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s206)) | (~m_main_v_state(s206, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s206)) | (~m_main_v_state(s206, c_busy)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17028,plain,
% 13.99/9.78 (((~m_main_v_state(s206, c_busy)) | (~always3(s206))) <=> ((~always3(s206)) | (~m_main_v_state(s206, c_busy)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17029,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s206, c_busy)) | (~always3(s206)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s206)) | (~m_main_v_state(s206, c_busy))))),
% 13.99/9.78 inference(monotonicity,[status(thm)],[17028])).
% 13.99/9.78 tff(17030,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s206, c_busy)) | (~always3(s206)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s206)) | (~m_main_v_state(s206, c_busy)))),
% 13.99/9.78 inference(transitivity,[status(thm)],[17029, 17027])).
% 13.99/9.78 tff(17031,plain,
% 13.99/9.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s206, c_busy)) | (~always3(s206)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17032,plain,
% 13.99/9.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s206)) | (~m_main_v_state(s206, c_busy))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17031, 17030])).
% 13.99/9.78 tff(17033,plain,
% 13.99/9.78 (~m_main_v_state(s206, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17032, 85, 17026])).
% 13.99/9.78 tff(17034,plain,
% 13.99/9.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s205, s206)) | node2(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s205, s206)) | node2(s205, s206))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17035,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s205, s206)) | node2(s205, s206))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17036,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s205, s206)) | node2(s205, s206)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17035, 17034])).
% 13.99/9.78 tff(17037,plain,
% 13.99/9.78 (node2(s205, s206)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17036, 7, 15279])).
% 13.99/9.78 tff(17038,plain,
% 13.99/9.78 (((~![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(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17039,plain,
% 13.99/9.78 ((~![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(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17040,plain,
% 13.99/9.78 ((~![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(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 13.99/9.78 tff(17041,plain,
% 13.99/9.78 ((~m_main_v_state(s205, c_ready)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205))),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17040, 73, 17037])).
% 13.99/9.78 tff(17042,plain,
% 13.99/9.78 (~m_main_v_state(s205, c_ready)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17041, 17033, 17024])).
% 13.99/9.78 tff(17043,plain,
% 13.99/9.78 (~m_main_v_state(s205, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17000, 85, 17025])).
% 13.99/9.78 tff(17044,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17045,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17046,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17045, 17044])).
% 13.99/9.78 tff(17047,plain,
% 13.99/9.78 ($false),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17046, 102, 17043, 17042])).
% 13.99/9.78 tff(17048,plain,(~node4(s205)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.78 tff(17049,plain,
% 13.99/9.78 (xuntil6(s205) | (~until5(s205))),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15294, 294, 17048])).
% 13.99/9.78 tff(17050,plain,
% 13.99/9.78 (xuntil6(s205)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17049, 17019])).
% 13.99/9.78 tff(17051,plain,
% 13.99/9.78 (until5(s206)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15274, 17050])).
% 13.99/9.78 tff(17052,assumption,(node4(s206)), introduced(assumption)).
% 13.99/9.78 tff(17053,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s206) | (~node4(s206)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s206) | (~node4(s206)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17054,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s206) | (~node4(s206)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17055,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s206) | (~node4(s206))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17054, 17053])).
% 13.99/9.78 tff(17056,plain,
% 13.99/9.78 (m_main_v_request(s206)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17055, 21, 17052])).
% 13.99/9.78 tff(17057,plain,
% 13.99/9.78 (always3(s206)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15258, 36, 17052])).
% 13.99/9.78 tff(17058,plain,
% 13.99/9.78 (always3(s207)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15254, 17057])).
% 13.99/9.78 tff(17059,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s207)) | (~m_main_v_state(s207, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s207)) | (~m_main_v_state(s207, c_busy)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17060,plain,
% 13.99/9.78 (((~m_main_v_state(s207, c_busy)) | (~always3(s207))) <=> ((~always3(s207)) | (~m_main_v_state(s207, c_busy)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17061,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s207, c_busy)) | (~always3(s207)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s207)) | (~m_main_v_state(s207, c_busy))))),
% 13.99/9.78 inference(monotonicity,[status(thm)],[17060])).
% 13.99/9.78 tff(17062,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s207, c_busy)) | (~always3(s207)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s207)) | (~m_main_v_state(s207, c_busy)))),
% 13.99/9.78 inference(transitivity,[status(thm)],[17061, 17059])).
% 13.99/9.78 tff(17063,plain,
% 13.99/9.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s207, c_busy)) | (~always3(s207)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17064,plain,
% 13.99/9.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s207)) | (~m_main_v_state(s207, c_busy))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17063, 17062])).
% 13.99/9.78 tff(17065,plain,
% 13.99/9.78 (~m_main_v_state(s207, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17064, 85, 17058])).
% 13.99/9.78 tff(17066,plain,
% 13.99/9.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s206, s207)) | node2(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s206, s207)) | node2(s206, s207))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17067,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s206, s207)) | node2(s206, s207))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17068,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s206, s207)) | node2(s206, s207)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17067, 17066])).
% 13.99/9.78 tff(17069,plain,
% 13.99/9.78 (node2(s206, s207)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17068, 7, 15250])).
% 13.99/9.78 tff(17070,plain,
% 13.99/9.78 (((~![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(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17071,plain,
% 13.99/9.78 ((~![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(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17072,plain,
% 13.99/9.78 ((~![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(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17071, 17070])).
% 13.99/9.78 tff(17073,plain,
% 13.99/9.78 ((~m_main_v_state(s206, c_ready)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206))),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17072, 73, 17069])).
% 13.99/9.78 tff(17074,plain,
% 13.99/9.78 (~m_main_v_state(s206, c_ready)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17073, 17065, 17056])).
% 13.99/9.78 tff(17075,plain,
% 13.99/9.78 (~m_main_v_state(s206, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17032, 85, 17057])).
% 13.99/9.78 tff(17076,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17077,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17078,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17077, 17076])).
% 13.99/9.78 tff(17079,plain,
% 13.99/9.78 ($false),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17078, 102, 17075, 17074])).
% 13.99/9.78 tff(17080,plain,(~node4(s206)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.78 tff(17081,plain,
% 13.99/9.78 (xuntil6(s206) | (~until5(s206))),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15265, 294, 17080])).
% 13.99/9.78 tff(17082,plain,
% 13.99/9.78 (xuntil6(s206)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17081, 17051])).
% 13.99/9.78 tff(17083,plain,
% 13.99/9.78 (until5(s207)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15245, 17082])).
% 13.99/9.78 tff(17084,assumption,(node4(s207)), introduced(assumption)).
% 13.99/9.78 tff(17085,plain,
% 13.99/9.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s207) | (~node4(s207)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s207) | (~node4(s207)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17086,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s207) | (~node4(s207)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17087,plain,
% 13.99/9.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s207) | (~node4(s207))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17086, 17085])).
% 13.99/9.78 tff(17088,plain,
% 13.99/9.78 (m_main_v_request(s207)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17087, 21, 17084])).
% 13.99/9.78 tff(17089,plain,
% 13.99/9.78 (always3(s207)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15229, 36, 17084])).
% 13.99/9.78 tff(17090,plain,
% 13.99/9.78 (always3(s208)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[15225, 17089])).
% 13.99/9.78 tff(17091,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s208)) | (~m_main_v_state(s208, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s208)) | (~m_main_v_state(s208, c_busy)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17092,plain,
% 13.99/9.78 (((~m_main_v_state(s208, c_busy)) | (~always3(s208))) <=> ((~always3(s208)) | (~m_main_v_state(s208, c_busy)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17093,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s208, c_busy)) | (~always3(s208)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s208)) | (~m_main_v_state(s208, c_busy))))),
% 13.99/9.78 inference(monotonicity,[status(thm)],[17092])).
% 13.99/9.78 tff(17094,plain,
% 13.99/9.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s208, c_busy)) | (~always3(s208)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s208)) | (~m_main_v_state(s208, c_busy)))),
% 13.99/9.78 inference(transitivity,[status(thm)],[17093, 17091])).
% 13.99/9.78 tff(17095,plain,
% 13.99/9.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s208, c_busy)) | (~always3(s208)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17096,plain,
% 13.99/9.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s208)) | (~m_main_v_state(s208, c_busy))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17095, 17094])).
% 13.99/9.78 tff(17097,plain,
% 13.99/9.78 (~m_main_v_state(s208, c_busy)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17096, 85, 17090])).
% 13.99/9.78 tff(17098,plain,
% 13.99/9.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s207, s208)) | node2(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s207, s208)) | node2(s207, s208))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17099,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s207, s208)) | node2(s207, s208))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17100,plain,
% 13.99/9.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s207, s208)) | node2(s207, s208)),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17099, 17098])).
% 13.99/9.78 tff(17101,plain,
% 13.99/9.78 (node2(s207, s208)),
% 13.99/9.78 inference(unit_resolution,[status(thm)],[17100, 7, 15221])).
% 13.99/9.78 tff(17102,plain,
% 13.99/9.78 (((~![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(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207)))),
% 13.99/9.78 inference(rewrite,[status(thm)],[])).
% 13.99/9.78 tff(17103,plain,
% 13.99/9.78 ((~![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(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207)))),
% 13.99/9.78 inference(quant_inst,[status(thm)],[])).
% 13.99/9.78 tff(17104,plain,
% 13.99/9.78 ((~![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(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207))),
% 13.99/9.78 inference(modus_ponens,[status(thm)],[17103, 17102])).
% 13.99/9.79 tff(17105,plain,
% 13.99/9.79 ((~m_main_v_state(s207, c_ready)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207))),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17104, 73, 17101])).
% 13.99/9.79 tff(17106,plain,
% 13.99/9.79 (~m_main_v_state(s207, c_ready)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17105, 17097, 17088])).
% 13.99/9.79 tff(17107,plain,
% 13.99/9.79 (~m_main_v_state(s207, c_busy)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17064, 85, 17089])).
% 13.99/9.79 tff(17108,plain,
% 13.99/9.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17109,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17110,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready)),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 13.99/9.79 tff(17111,plain,
% 13.99/9.79 ($false),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17110, 102, 17107, 17106])).
% 13.99/9.79 tff(17112,plain,(~node4(s207)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.79 tff(17113,plain,
% 13.99/9.79 (xuntil6(s207) | (~until5(s207))),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15236, 294, 17112])).
% 13.99/9.79 tff(17114,plain,
% 13.99/9.79 (xuntil6(s207)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17113, 17083])).
% 13.99/9.79 tff(17115,plain,
% 13.99/9.79 (until5(s208)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15216, 17114])).
% 13.99/9.79 tff(17116,plain,
% 13.99/9.79 (xuntil6(s208) | node4(s208)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15207, 294, 17115])).
% 13.99/9.79 tff(17117,plain,
% 13.99/9.79 (node4(s208)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17116, 16883])).
% 13.99/9.79 tff(17118,plain,
% 13.99/9.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s208) | (~node4(s208)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s208) | (~node4(s208)))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17119,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s208) | (~node4(s208)))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17120,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s208) | (~node4(s208))),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17119, 17118])).
% 13.99/9.79 tff(17121,plain,
% 13.99/9.79 (m_main_v_request(s208)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17120, 21, 17117])).
% 13.99/9.79 tff(17122,plain,
% 13.99/9.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s208, s209)) | node2(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s208, s209)) | node2(s208, s209))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17123,plain,
% 13.99/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s208, s209)) | node2(s208, s209))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17124,plain,
% 13.99/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s208, s209)) | node2(s208, s209)),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17123, 17122])).
% 13.99/9.79 tff(17125,plain,
% 13.99/9.79 (node2(s208, s209)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17124, 7, 15192])).
% 13.99/9.79 tff(17126,plain,
% 13.99/9.79 (((~![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(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208)))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17127,plain,
% 13.99/9.79 ((~![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(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208)))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17128,plain,
% 13.99/9.79 ((~![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(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208))),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 13.99/9.79 tff(17129,plain,
% 13.99/9.79 ((~m_main_v_state(s208, c_ready)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208))),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17128, 73, 17125])).
% 13.99/9.79 tff(17130,plain,
% 13.99/9.79 (~m_main_v_state(s208, c_ready)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17129, 17121, 16919])).
% 13.99/9.79 tff(17131,plain,
% 13.99/9.79 (~m_main_v_state(s208, c_busy)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17096, 85, 16917])).
% 13.99/9.79 tff(17132,plain,
% 13.99/9.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17133,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17134,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready)),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17133, 17132])).
% 13.99/9.79 tff(17135,plain,
% 13.99/9.79 ($false),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17134, 102, 17131, 17130])).
% 13.99/9.79 tff(17136,plain,(xuntil6(s208) | (~until5(s202))), inference(lemma,lemma(discharge,[]))).
% 13.99/9.79 tff(17137,plain,
% 13.99/9.79 (xuntil6(s208)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17136, 16881])).
% 13.99/9.79 tff(17138,plain,
% 13.99/9.79 (until5(s209)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15187, 17137])).
% 13.99/9.79 tff(17139,plain,
% 13.99/9.79 ($false),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15178, 294, 17138, 16242, 14863])).
% 13.99/9.79 tff(17140,plain,((~until5(s184)) | node4(s209) | xuntil6(s220) | node4(s196) | node4(s194) | node4(s187)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.79 tff(17141,plain,
% 13.99/9.79 (node4(s187)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17140, 14862, 14861, 14812, 14763, 14714])).
% 13.99/9.79 tff(17142,assumption,(~m_main_v_state(s188, c_busy)), introduced(assumption)).
% 13.99/9.79 tff(17143,assumption,(node4(s187)), introduced(assumption)).
% 13.99/9.79 tff(17144,plain,
% 13.99/9.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s187) | (~node4(s187)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s187) | (~node4(s187)))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17145,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s187) | (~node4(s187)))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17146,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s187) | (~node4(s187))),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17145, 17144])).
% 13.99/9.79 tff(17147,plain,
% 13.99/9.79 (m_main_v_request(s187)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17146, 21, 17143])).
% 13.99/9.79 tff(17148,plain,
% 13.99/9.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s187, s188)) | node2(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s187, s188)) | node2(s187, s188))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17149,plain,
% 13.99/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s187, s188)) | node2(s187, s188))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17150,plain,
% 13.99/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s187, s188)) | node2(s187, s188)),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17149, 17148])).
% 13.99/9.79 tff(17151,plain,
% 13.99/9.79 (node2(s187, s188)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17150, 7, 15524])).
% 13.99/9.79 tff(17152,plain,
% 13.99/9.79 (((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187)))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17153,plain,
% 13.99/9.79 ((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187)))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17154,plain,
% 13.99/9.79 ((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187))),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17153, 17152])).
% 13.99/9.79 tff(17155,plain,
% 13.99/9.79 ((~m_main_v_state(s187, c_ready)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187))),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17154, 73, 17151])).
% 13.99/9.79 tff(17156,plain,
% 13.99/9.79 (~m_main_v_state(s187, c_ready)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17155, 17147, 17142])).
% 13.99/9.79 tff(17157,plain,
% 13.99/9.79 (always3(s187)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15618, 36, 17143])).
% 13.99/9.79 tff(17158,plain,
% 13.99/9.79 (~m_main_v_state(s187, c_busy)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16768, 85, 17157])).
% 13.99/9.79 tff(17159,plain,
% 13.99/9.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17160,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17161,plain,
% 13.99/9.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready)),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 13.99/9.79 tff(17162,plain,
% 13.99/9.79 ($false),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17161, 102, 17158, 17156])).
% 13.99/9.79 tff(17163,plain,((~node4(s187)) | m_main_v_state(s188, c_busy)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.79 tff(17164,plain,
% 13.99/9.79 (m_main_v_state(s188, c_busy)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17163, 17141])).
% 13.99/9.79 tff(17165,plain,
% 13.99/9.79 (xuntil6(s209) | (~until5(s209))),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15178, 294, 14861])).
% 13.99/9.79 tff(17166,plain,
% 13.99/9.79 (~until5(s209)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17165, 16242])).
% 13.99/9.79 tff(17167,plain,
% 13.99/9.79 (~xuntil6(s208)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15187, 17166])).
% 13.99/9.79 tff(17168,plain,
% 13.99/9.79 (~until5(s202)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17136, 17167])).
% 13.99/9.79 tff(17169,plain,
% 13.99/9.79 (~xuntil6(s201)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15863, 17168])).
% 13.99/9.79 tff(17170,plain,
% 13.99/9.79 (~until5(s201)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16879, 17169])).
% 13.99/9.79 tff(17171,plain,
% 13.99/9.79 (~xuntil6(s200)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15846, 17170])).
% 13.99/9.79 tff(17172,plain,
% 13.99/9.79 (~until5(s199)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16432, 17171, 14862])).
% 13.99/9.79 tff(17173,plain,
% 13.99/9.79 (~xuntil6(s198)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15812, 17172])).
% 13.99/9.79 tff(17174,plain,
% 13.99/9.79 (~until5(s198)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16464, 17173])).
% 13.99/9.79 tff(17175,plain,
% 13.99/9.79 (~xuntil6(s197)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15795, 17174])).
% 13.99/9.79 tff(17176,plain,
% 13.99/9.79 (~until5(s197)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16507, 17175])).
% 13.99/9.79 tff(17177,plain,
% 13.99/9.79 (~xuntil6(s196)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15778, 17176])).
% 13.99/9.79 tff(17178,plain,
% 13.99/9.79 (xuntil6(s196) | (~until5(s196))),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15772, 294, 14763])).
% 13.99/9.79 tff(17179,plain,
% 13.99/9.79 (~until5(s196)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17178, 17177])).
% 13.99/9.79 tff(17180,plain,
% 13.99/9.79 (~xuntil6(s195)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15764, 17179])).
% 13.99/9.79 tff(17181,plain,
% 13.99/9.79 (~until5(s195)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16535, 17180])).
% 13.99/9.79 tff(17182,plain,
% 13.99/9.79 (~xuntil6(s194)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15747, 17181])).
% 13.99/9.79 tff(17183,plain,
% 13.99/9.79 (xuntil6(s194) | (~until5(s194))),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15741, 294, 14812])).
% 13.99/9.79 tff(17184,plain,
% 13.99/9.79 (~until5(s194)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17183, 17182])).
% 13.99/9.79 tff(17185,plain,
% 13.99/9.79 (~xuntil6(s193)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15733, 17184])).
% 13.99/9.79 tff(17186,plain,
% 13.99/9.79 (~until5(s193)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16569, 17185])).
% 13.99/9.79 tff(17187,plain,
% 13.99/9.79 (~xuntil6(s192)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15716, 17186])).
% 13.99/9.79 tff(17188,plain,
% 13.99/9.79 (~until5(s192)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16601, 17187])).
% 13.99/9.79 tff(17189,plain,
% 13.99/9.79 (~xuntil6(s191)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15699, 17188])).
% 13.99/9.79 tff(17190,plain,
% 13.99/9.79 (~until5(s191)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16658, 17189])).
% 13.99/9.79 tff(17191,plain,
% 13.99/9.79 (~xuntil6(s190)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15682, 17190])).
% 13.99/9.79 tff(17192,plain,
% 13.99/9.79 (~until5(s190)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16676, 17191])).
% 13.99/9.79 tff(17193,plain,
% 13.99/9.79 (~xuntil6(s189)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15665, 17192])).
% 13.99/9.79 tff(17194,plain,
% 13.99/9.79 (xuntil6(s189) | (~until5(s189))),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15659, 294, 16277])).
% 13.99/9.79 tff(17195,plain,
% 13.99/9.79 (~until5(s189)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17194, 17193])).
% 13.99/9.79 tff(17196,plain,
% 13.99/9.79 (~xuntil6(s188)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[15648, 17195])).
% 13.99/9.79 tff(17197,plain,
% 13.99/9.79 (always3(s188)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16703, 17196, 14862])).
% 13.99/9.79 tff(17198,plain,
% 13.99/9.79 ($false),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[16728, 85, 17197, 17164])).
% 13.99/9.79 tff(17199,plain,((~until5(s184)) | xuntil6(s220)), inference(lemma,lemma(discharge,[]))).
% 13.99/9.79 tff(17200,plain,
% 13.99/9.79 (xuntil6(s220)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17199, 14713])).
% 13.99/9.79 tff(17201,plain,
% 13.99/9.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17202,plain,
% 13.99/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221))),
% 13.99/9.79 inference(quant_inst,[status(thm)],[])).
% 13.99/9.79 tff(17203,plain,
% 13.99/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221)),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17202, 17201])).
% 13.99/9.79 tff(17204,plain,
% 13.99/9.79 ((~xuntil6(s220)) | until5(s221)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17203, 15888, 312])).
% 13.99/9.79 tff(17205,plain,
% 13.99/9.79 (until5(s221)),
% 13.99/9.79 inference(unit_resolution,[status(thm)],[17204, 17200])).
% 13.99/9.79 tff(17206,assumption,(~xuntil6(s253)), introduced(assumption)).
% 13.99/9.79 tff(17207,assumption,(until5(s221)), introduced(assumption)).
% 13.99/9.79 tff(17208,assumption,(~always3(s253)), introduced(assumption)).
% 13.99/9.79 tff(17209,plain,
% 13.99/9.79 (succ(s252, s253) <=> succ(s252, s253)),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17210,axiom,(succ(s252, s253)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound253')).
% 13.99/9.79 tff(17211,plain,
% 13.99/9.79 (succ(s252, s253)),
% 13.99/9.79 inference(modus_ponens,[status(thm)],[17210, 17209])).
% 13.99/9.79 tff(17212,plain,
% 13.99/9.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253))),
% 13.99/9.79 inference(rewrite,[status(thm)],[])).
% 13.99/9.79 tff(17213,plain,
% 13.99/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17214,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17213, 17212])).
% 14.08/9.79 tff(17215,plain,
% 14.08/9.79 (trans(s252, s253)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17214, 17211, 52])).
% 14.08/9.79 tff(17216,plain,
% 14.08/9.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s252, s253)) | (~always3(s252)) | always3(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s252, s253)) | (~always3(s252)) | always3(s253))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17217,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s252, s253)) | (~always3(s252)) | always3(s253))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17218,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s252, s253)) | (~always3(s252)) | always3(s253)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17217, 17216])).
% 14.08/9.79 tff(17219,plain,
% 14.08/9.79 ((~always3(s252)) | always3(s253)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17218, 125, 17215])).
% 14.08/9.79 tff(17220,plain,
% 14.08/9.79 (~always3(s252)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17219, 17208])).
% 14.08/9.79 tff(17221,plain,
% 14.08/9.79 (succ(s251, s252) <=> succ(s251, s252)),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17222,axiom,(succ(s251, s252)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound252')).
% 14.08/9.79 tff(17223,plain,
% 14.08/9.79 (succ(s251, s252)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17222, 17221])).
% 14.08/9.79 tff(17224,plain,
% 14.08/9.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17225,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17226,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 14.08/9.79 tff(17227,plain,
% 14.08/9.79 (trans(s251, s252)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17226, 17223, 52])).
% 14.08/9.79 tff(17228,plain,
% 14.08/9.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s251, s252)) | (~always3(s251)) | always3(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s251, s252)) | (~always3(s251)) | always3(s252))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17229,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s251, s252)) | (~always3(s251)) | always3(s252))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17230,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s251, s252)) | (~always3(s251)) | always3(s252)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17229, 17228])).
% 14.08/9.79 tff(17231,plain,
% 14.08/9.79 ((~always3(s251)) | always3(s252)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17230, 125, 17227])).
% 14.08/9.79 tff(17232,plain,
% 14.08/9.79 (~always3(s251)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17231, 17220])).
% 14.08/9.79 tff(17233,plain,
% 14.08/9.79 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s251) | (~node4(s251)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s251) | (~node4(s251)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17234,plain,
% 14.08/9.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s251) | (~node4(s251)))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17235,plain,
% 14.08/9.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s251) | (~node4(s251))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 14.08/9.79 tff(17236,plain,
% 14.08/9.79 (~node4(s251)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17235, 36, 17232])).
% 14.08/9.79 tff(17237,plain,
% 14.08/9.79 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s253) | (~node4(s253)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s253) | (~node4(s253)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17238,plain,
% 14.08/9.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s253) | (~node4(s253)))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17239,plain,
% 14.08/9.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s253) | (~node4(s253))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17238, 17237])).
% 14.08/9.79 tff(17240,plain,
% 14.08/9.79 (~node4(s253)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17239, 36, 17208])).
% 14.08/9.79 tff(17241,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s253) | node4(s253) | (~until5(s253)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s253) | node4(s253) | (~until5(s253)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17242,plain,
% 14.08/9.79 ((node4(s253) | (~until5(s253)) | xuntil6(s253)) <=> (xuntil6(s253) | node4(s253) | (~until5(s253)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17243,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s253) | (~until5(s253)) | xuntil6(s253))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s253) | node4(s253) | (~until5(s253))))),
% 14.08/9.79 inference(monotonicity,[status(thm)],[17242])).
% 14.08/9.79 tff(17244,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s253) | (~until5(s253)) | xuntil6(s253))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s253) | node4(s253) | (~until5(s253)))),
% 14.08/9.79 inference(transitivity,[status(thm)],[17243, 17241])).
% 14.08/9.79 tff(17245,plain,
% 14.08/9.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s253) | (~until5(s253)) | xuntil6(s253))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17246,plain,
% 14.08/9.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s253) | node4(s253) | (~until5(s253))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17245, 17244])).
% 14.08/9.79 tff(17247,plain,
% 14.08/9.79 (node4(s253) | (~until5(s253))),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17246, 294, 17206])).
% 14.08/9.79 tff(17248,plain,
% 14.08/9.79 (~until5(s253)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17247, 17240])).
% 14.08/9.79 tff(17249,plain,
% 14.08/9.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17250,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17251,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17250, 17249])).
% 14.08/9.79 tff(17252,plain,
% 14.08/9.79 ((~xuntil6(s252)) | until5(s253)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17251, 17211, 312])).
% 14.08/9.79 tff(17253,plain,
% 14.08/9.79 (~xuntil6(s252)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17252, 17248])).
% 14.08/9.79 tff(17254,assumption,(node4(s252)), introduced(assumption)).
% 14.08/9.79 tff(17255,plain,
% 14.08/9.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s252) | (~node4(s252)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s252) | (~node4(s252)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17256,plain,
% 14.08/9.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s252) | (~node4(s252)))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17257,plain,
% 14.08/9.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s252) | (~node4(s252))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 14.08/9.79 tff(17258,plain,
% 14.08/9.79 (m_main_v_request(s252)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17257, 21, 17254])).
% 14.08/9.79 tff(17259,plain,
% 14.08/9.79 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s252) | (~node4(s252)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s252) | (~node4(s252)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17260,plain,
% 14.08/9.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s252) | (~node4(s252)))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17261,plain,
% 14.08/9.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s252) | (~node4(s252))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17260, 17259])).
% 14.08/9.79 tff(17262,plain,
% 14.08/9.79 (always3(s252)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17261, 36, 17254])).
% 14.08/9.79 tff(17263,plain,
% 14.08/9.79 (always3(s253)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17219, 17262])).
% 14.08/9.79 tff(17264,plain,
% 14.08/9.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s253)) | (~m_main_v_state(s253, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s253)) | (~m_main_v_state(s253, c_busy)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17265,plain,
% 14.08/9.79 (((~m_main_v_state(s253, c_busy)) | (~always3(s253))) <=> ((~always3(s253)) | (~m_main_v_state(s253, c_busy)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17266,plain,
% 14.08/9.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s253, c_busy)) | (~always3(s253)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s253)) | (~m_main_v_state(s253, c_busy))))),
% 14.08/9.79 inference(monotonicity,[status(thm)],[17265])).
% 14.08/9.79 tff(17267,plain,
% 14.08/9.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s253, c_busy)) | (~always3(s253)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s253)) | (~m_main_v_state(s253, c_busy)))),
% 14.08/9.79 inference(transitivity,[status(thm)],[17266, 17264])).
% 14.08/9.79 tff(17268,plain,
% 14.08/9.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s253, c_busy)) | (~always3(s253)))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17269,plain,
% 14.08/9.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s253)) | (~m_main_v_state(s253, c_busy))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17268, 17267])).
% 14.08/9.79 tff(17270,plain,
% 14.08/9.79 (~m_main_v_state(s253, c_busy)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17269, 85, 17263])).
% 14.08/9.79 tff(17271,plain,
% 14.08/9.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s252, s253)) | node2(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s252, s253)) | node2(s252, s253))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17272,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s252, s253)) | node2(s252, s253))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17273,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s252, s253)) | node2(s252, s253)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17272, 17271])).
% 14.08/9.79 tff(17274,plain,
% 14.08/9.79 (node2(s252, s253)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17273, 7, 17215])).
% 14.08/9.79 tff(17275,plain,
% 14.08/9.79 (((~![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(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17276,plain,
% 14.08/9.79 ((~![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(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252)))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17277,plain,
% 14.08/9.79 ((~![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(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 14.08/9.79 tff(17278,plain,
% 14.08/9.79 ((~m_main_v_state(s252, c_ready)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252))),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17277, 73, 17274])).
% 14.08/9.79 tff(17279,plain,
% 14.08/9.79 (~m_main_v_state(s252, c_ready)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17278, 17270, 17258])).
% 14.08/9.79 tff(17280,plain,
% 14.08/9.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s252)) | (~m_main_v_state(s252, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s252)) | (~m_main_v_state(s252, c_busy)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17281,plain,
% 14.08/9.79 (((~m_main_v_state(s252, c_busy)) | (~always3(s252))) <=> ((~always3(s252)) | (~m_main_v_state(s252, c_busy)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17282,plain,
% 14.08/9.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s252, c_busy)) | (~always3(s252)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s252)) | (~m_main_v_state(s252, c_busy))))),
% 14.08/9.79 inference(monotonicity,[status(thm)],[17281])).
% 14.08/9.79 tff(17283,plain,
% 14.08/9.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s252, c_busy)) | (~always3(s252)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s252)) | (~m_main_v_state(s252, c_busy)))),
% 14.08/9.79 inference(transitivity,[status(thm)],[17282, 17280])).
% 14.08/9.79 tff(17284,plain,
% 14.08/9.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s252, c_busy)) | (~always3(s252)))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17285,plain,
% 14.08/9.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s252)) | (~m_main_v_state(s252, c_busy))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17284, 17283])).
% 14.08/9.79 tff(17286,plain,
% 14.08/9.79 (~m_main_v_state(s252, c_busy)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17285, 85, 17262])).
% 14.08/9.79 tff(17287,plain,
% 14.08/9.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17288,plain,
% 14.08/9.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17289,plain,
% 14.08/9.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17288, 17287])).
% 14.08/9.79 tff(17290,plain,
% 14.08/9.79 ($false),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17289, 102, 17286, 17279])).
% 14.08/9.79 tff(17291,plain,(~node4(s252)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.79 tff(17292,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s252) | node4(s252) | (~until5(s252)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s252) | node4(s252) | (~until5(s252)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17293,plain,
% 14.08/9.79 ((node4(s252) | (~until5(s252)) | xuntil6(s252)) <=> (xuntil6(s252) | node4(s252) | (~until5(s252)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17294,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s252) | (~until5(s252)) | xuntil6(s252))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s252) | node4(s252) | (~until5(s252))))),
% 14.08/9.79 inference(monotonicity,[status(thm)],[17293])).
% 14.08/9.79 tff(17295,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s252) | (~until5(s252)) | xuntil6(s252))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s252) | node4(s252) | (~until5(s252)))),
% 14.08/9.79 inference(transitivity,[status(thm)],[17294, 17292])).
% 14.08/9.79 tff(17296,plain,
% 14.08/9.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s252) | (~until5(s252)) | xuntil6(s252))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17297,plain,
% 14.08/9.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s252) | node4(s252) | (~until5(s252))),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17296, 17295])).
% 14.08/9.79 tff(17298,plain,
% 14.08/9.79 (xuntil6(s252) | (~until5(s252))),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17297, 294, 17291])).
% 14.08/9.79 tff(17299,plain,
% 14.08/9.79 (~until5(s252)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17298, 17253])).
% 14.08/9.79 tff(17300,plain,
% 14.08/9.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17301,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252))),
% 14.08/9.79 inference(quant_inst,[status(thm)],[])).
% 14.08/9.79 tff(17302,plain,
% 14.08/9.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252)),
% 14.08/9.79 inference(modus_ponens,[status(thm)],[17301, 17300])).
% 14.08/9.79 tff(17303,plain,
% 14.08/9.79 ((~xuntil6(s251)) | until5(s252)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17302, 17223, 312])).
% 14.08/9.79 tff(17304,plain,
% 14.08/9.79 (~xuntil6(s251)),
% 14.08/9.79 inference(unit_resolution,[status(thm)],[17303, 17299])).
% 14.08/9.79 tff(17305,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s251) | node4(s251) | (~until5(s251)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s251) | node4(s251) | (~until5(s251)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17306,plain,
% 14.08/9.79 ((node4(s251) | (~until5(s251)) | xuntil6(s251)) <=> (xuntil6(s251) | node4(s251) | (~until5(s251)))),
% 14.08/9.79 inference(rewrite,[status(thm)],[])).
% 14.08/9.79 tff(17307,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s251) | (~until5(s251)) | xuntil6(s251))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s251) | node4(s251) | (~until5(s251))))),
% 14.08/9.79 inference(monotonicity,[status(thm)],[17306])).
% 14.08/9.79 tff(17308,plain,
% 14.08/9.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s251) | (~until5(s251)) | xuntil6(s251))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s251) | node4(s251) | (~until5(s251)))),
% 14.08/9.80 inference(transitivity,[status(thm)],[17307, 17305])).
% 14.08/9.80 tff(17309,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s251) | (~until5(s251)) | xuntil6(s251))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17310,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s251) | node4(s251) | (~until5(s251))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17309, 17308])).
% 14.08/9.80 tff(17311,plain,
% 14.08/9.80 (~until5(s251)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17310, 294, 17304, 17236])).
% 14.08/9.80 tff(17312,plain,
% 14.08/9.80 (succ(s250, s251) <=> succ(s250, s251)),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17313,axiom,(succ(s250, s251)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound251')).
% 14.08/9.80 tff(17314,plain,
% 14.08/9.80 (succ(s250, s251)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17313, 17312])).
% 14.08/9.80 tff(17315,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17316,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17317,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 14.08/9.80 tff(17318,plain,
% 14.08/9.80 ((~xuntil6(s250)) | until5(s251)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17317, 17314, 312])).
% 14.08/9.80 tff(17319,plain,
% 14.08/9.80 (~xuntil6(s250)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17318, 17311])).
% 14.08/9.80 tff(17320,assumption,(node4(s250)), introduced(assumption)).
% 14.08/9.80 tff(17321,plain,
% 14.08/9.80 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s250) | (~node4(s250)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s250) | (~node4(s250)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17322,plain,
% 14.08/9.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s250) | (~node4(s250)))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17323,plain,
% 14.08/9.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s250) | (~node4(s250))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17322, 17321])).
% 14.08/9.80 tff(17324,plain,
% 14.08/9.80 (m_main_v_request(s250)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17323, 21, 17320])).
% 14.08/9.80 tff(17325,plain,
% 14.08/9.80 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s250) | (~node4(s250)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s250) | (~node4(s250)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17326,plain,
% 14.08/9.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s250) | (~node4(s250)))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17327,plain,
% 14.08/9.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s250) | (~node4(s250))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17326, 17325])).
% 14.08/9.80 tff(17328,plain,
% 14.08/9.80 (always3(s250)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17327, 36, 17320])).
% 14.08/9.80 tff(17329,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17330,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17331,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 14.08/9.80 tff(17332,plain,
% 14.08/9.80 (trans(s250, s251)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17331, 17314, 52])).
% 14.08/9.80 tff(17333,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s250, s251)) | (~always3(s250)) | always3(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s250, s251)) | (~always3(s250)) | always3(s251))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17334,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s250, s251)) | (~always3(s250)) | always3(s251))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17335,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s250, s251)) | (~always3(s250)) | always3(s251)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17334, 17333])).
% 14.08/9.80 tff(17336,plain,
% 14.08/9.80 ((~always3(s250)) | always3(s251)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17335, 125, 17332])).
% 14.08/9.80 tff(17337,plain,
% 14.08/9.80 (always3(s251)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17336, 17328])).
% 14.08/9.80 tff(17338,plain,
% 14.08/9.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s251)) | (~m_main_v_state(s251, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s251)) | (~m_main_v_state(s251, c_busy)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17339,plain,
% 14.08/9.80 (((~m_main_v_state(s251, c_busy)) | (~always3(s251))) <=> ((~always3(s251)) | (~m_main_v_state(s251, c_busy)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17340,plain,
% 14.08/9.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s251, c_busy)) | (~always3(s251)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s251)) | (~m_main_v_state(s251, c_busy))))),
% 14.08/9.80 inference(monotonicity,[status(thm)],[17339])).
% 14.08/9.80 tff(17341,plain,
% 14.08/9.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s251, c_busy)) | (~always3(s251)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s251)) | (~m_main_v_state(s251, c_busy)))),
% 14.08/9.80 inference(transitivity,[status(thm)],[17340, 17338])).
% 14.08/9.80 tff(17342,plain,
% 14.08/9.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s251, c_busy)) | (~always3(s251)))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17343,plain,
% 14.08/9.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s251)) | (~m_main_v_state(s251, c_busy))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 14.08/9.80 tff(17344,plain,
% 14.08/9.80 (~m_main_v_state(s251, c_busy)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17343, 85, 17337])).
% 14.08/9.80 tff(17345,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s250, s251)) | node2(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s250, s251)) | node2(s250, s251))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17346,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s250, s251)) | node2(s250, s251))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17347,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s250, s251)) | node2(s250, s251)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17346, 17345])).
% 14.08/9.80 tff(17348,plain,
% 14.08/9.80 (node2(s250, s251)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17347, 7, 17332])).
% 14.08/9.80 tff(17349,plain,
% 14.08/9.80 (((~![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(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17350,plain,
% 14.08/9.80 ((~![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(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250)))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17351,plain,
% 14.08/9.80 ((~![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(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 14.08/9.80 tff(17352,plain,
% 14.08/9.80 ((~m_main_v_state(s250, c_ready)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250))),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17351, 73, 17348])).
% 14.08/9.80 tff(17353,plain,
% 14.08/9.80 (~m_main_v_state(s250, c_ready)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17352, 17344, 17324])).
% 14.08/9.80 tff(17354,plain,
% 14.08/9.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s250)) | (~m_main_v_state(s250, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s250)) | (~m_main_v_state(s250, c_busy)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17355,plain,
% 14.08/9.80 (((~m_main_v_state(s250, c_busy)) | (~always3(s250))) <=> ((~always3(s250)) | (~m_main_v_state(s250, c_busy)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17356,plain,
% 14.08/9.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s250, c_busy)) | (~always3(s250)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s250)) | (~m_main_v_state(s250, c_busy))))),
% 14.08/9.80 inference(monotonicity,[status(thm)],[17355])).
% 14.08/9.80 tff(17357,plain,
% 14.08/9.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s250, c_busy)) | (~always3(s250)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s250)) | (~m_main_v_state(s250, c_busy)))),
% 14.08/9.80 inference(transitivity,[status(thm)],[17356, 17354])).
% 14.08/9.80 tff(17358,plain,
% 14.08/9.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s250, c_busy)) | (~always3(s250)))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17359,plain,
% 14.08/9.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s250)) | (~m_main_v_state(s250, c_busy))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 14.08/9.80 tff(17360,plain,
% 14.08/9.80 (~m_main_v_state(s250, c_busy)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17359, 85, 17328])).
% 14.08/9.80 tff(17361,plain,
% 14.08/9.80 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17362,plain,
% 14.08/9.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17363,plain,
% 14.08/9.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17362, 17361])).
% 14.08/9.80 tff(17364,plain,
% 14.08/9.80 ($false),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17363, 102, 17360, 17353])).
% 14.08/9.80 tff(17365,plain,(~node4(s250)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.80 tff(17366,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s250) | node4(s250) | (~until5(s250)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s250) | node4(s250) | (~until5(s250)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17367,plain,
% 14.08/9.80 ((node4(s250) | (~until5(s250)) | xuntil6(s250)) <=> (xuntil6(s250) | node4(s250) | (~until5(s250)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17368,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s250) | (~until5(s250)) | xuntil6(s250))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s250) | node4(s250) | (~until5(s250))))),
% 14.08/9.80 inference(monotonicity,[status(thm)],[17367])).
% 14.08/9.80 tff(17369,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s250) | (~until5(s250)) | xuntil6(s250))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s250) | node4(s250) | (~until5(s250)))),
% 14.08/9.80 inference(transitivity,[status(thm)],[17368, 17366])).
% 14.08/9.80 tff(17370,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s250) | (~until5(s250)) | xuntil6(s250))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17371,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s250) | node4(s250) | (~until5(s250))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 14.08/9.80 tff(17372,plain,
% 14.08/9.80 (xuntil6(s250) | (~until5(s250))),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17371, 294, 17365])).
% 14.08/9.80 tff(17373,plain,
% 14.08/9.80 (~until5(s250)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17372, 17319])).
% 14.08/9.80 tff(17374,plain,
% 14.08/9.80 (succ(s249, s250) <=> succ(s249, s250)),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17375,axiom,(succ(s249, s250)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound250')).
% 14.08/9.80 tff(17376,plain,
% 14.08/9.80 (succ(s249, s250)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17375, 17374])).
% 14.08/9.80 tff(17377,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17378,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17379,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17378, 17377])).
% 14.08/9.80 tff(17380,plain,
% 14.08/9.80 ((~xuntil6(s249)) | until5(s250)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17379, 17376, 312])).
% 14.08/9.80 tff(17381,plain,
% 14.08/9.80 (~xuntil6(s249)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17380, 17373])).
% 14.08/9.80 tff(17382,plain,
% 14.08/9.80 (~always3(s250)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17336, 17232])).
% 14.08/9.80 tff(17383,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17384,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17385,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 14.08/9.80 tff(17386,plain,
% 14.08/9.80 (trans(s249, s250)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17385, 17376, 52])).
% 14.08/9.80 tff(17387,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s249, s250)) | (~always3(s249)) | always3(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s249, s250)) | (~always3(s249)) | always3(s250))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17388,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s249, s250)) | (~always3(s249)) | always3(s250))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17389,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s249, s250)) | (~always3(s249)) | always3(s250)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17388, 17387])).
% 14.08/9.80 tff(17390,plain,
% 14.08/9.80 ((~always3(s249)) | always3(s250)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17389, 125, 17386])).
% 14.08/9.80 tff(17391,plain,
% 14.08/9.80 (~always3(s249)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17390, 17382])).
% 14.08/9.80 tff(17392,plain,
% 14.08/9.80 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s249) | (~node4(s249)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s249) | (~node4(s249)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17393,plain,
% 14.08/9.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s249) | (~node4(s249)))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17394,plain,
% 14.08/9.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s249) | (~node4(s249))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17393, 17392])).
% 14.08/9.80 tff(17395,plain,
% 14.08/9.80 (~node4(s249)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17394, 36, 17391])).
% 14.08/9.80 tff(17396,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s249) | node4(s249) | (~until5(s249)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s249) | node4(s249) | (~until5(s249)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17397,plain,
% 14.08/9.80 ((node4(s249) | (~until5(s249)) | xuntil6(s249)) <=> (xuntil6(s249) | node4(s249) | (~until5(s249)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17398,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s249) | (~until5(s249)) | xuntil6(s249))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s249) | node4(s249) | (~until5(s249))))),
% 14.08/9.80 inference(monotonicity,[status(thm)],[17397])).
% 14.08/9.80 tff(17399,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s249) | (~until5(s249)) | xuntil6(s249))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s249) | node4(s249) | (~until5(s249)))),
% 14.08/9.80 inference(transitivity,[status(thm)],[17398, 17396])).
% 14.08/9.80 tff(17400,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s249) | (~until5(s249)) | xuntil6(s249))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17401,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s249) | node4(s249) | (~until5(s249))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17400, 17399])).
% 14.08/9.80 tff(17402,plain,
% 14.08/9.80 (xuntil6(s249) | (~until5(s249))),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17401, 294, 17395])).
% 14.08/9.80 tff(17403,plain,
% 14.08/9.80 (~until5(s249)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17402, 17381])).
% 14.08/9.80 tff(17404,plain,
% 14.08/9.80 (succ(s248, s249) <=> succ(s248, s249)),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17405,axiom,(succ(s248, s249)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound249')).
% 14.08/9.80 tff(17406,plain,
% 14.08/9.80 (succ(s248, s249)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17405, 17404])).
% 14.08/9.80 tff(17407,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17408,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17409,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 14.08/9.80 tff(17410,plain,
% 14.08/9.80 ((~xuntil6(s248)) | until5(s249)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17409, 17406, 312])).
% 14.08/9.80 tff(17411,plain,
% 14.08/9.80 (~xuntil6(s248)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17410, 17403])).
% 14.08/9.80 tff(17412,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17413,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17414,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17413, 17412])).
% 14.08/9.80 tff(17415,plain,
% 14.08/9.80 (trans(s248, s249)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17414, 17406, 52])).
% 14.08/9.80 tff(17416,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s248, s249)) | (~always3(s248)) | always3(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s248, s249)) | (~always3(s248)) | always3(s249))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17417,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s248, s249)) | (~always3(s248)) | always3(s249))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17418,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s248, s249)) | (~always3(s248)) | always3(s249)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17417, 17416])).
% 14.08/9.80 tff(17419,plain,
% 14.08/9.80 ((~always3(s248)) | always3(s249)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17418, 125, 17415])).
% 14.08/9.80 tff(17420,plain,
% 14.08/9.80 (~always3(s248)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17419, 17391])).
% 14.08/9.80 tff(17421,plain,
% 14.08/9.80 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s248) | (~node4(s248)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s248) | (~node4(s248)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17422,plain,
% 14.08/9.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s248) | (~node4(s248)))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17423,plain,
% 14.08/9.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s248) | (~node4(s248))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17422, 17421])).
% 14.08/9.80 tff(17424,plain,
% 14.08/9.80 (~node4(s248)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17423, 36, 17420])).
% 14.08/9.80 tff(17425,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s248) | node4(s248) | (~until5(s248)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s248) | node4(s248) | (~until5(s248)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17426,plain,
% 14.08/9.80 ((node4(s248) | (~until5(s248)) | xuntil6(s248)) <=> (xuntil6(s248) | node4(s248) | (~until5(s248)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17427,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s248) | (~until5(s248)) | xuntil6(s248))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s248) | node4(s248) | (~until5(s248))))),
% 14.08/9.80 inference(monotonicity,[status(thm)],[17426])).
% 14.08/9.80 tff(17428,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s248) | (~until5(s248)) | xuntil6(s248))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s248) | node4(s248) | (~until5(s248)))),
% 14.08/9.80 inference(transitivity,[status(thm)],[17427, 17425])).
% 14.08/9.80 tff(17429,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s248) | (~until5(s248)) | xuntil6(s248))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17430,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s248) | node4(s248) | (~until5(s248))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 14.08/9.80 tff(17431,plain,
% 14.08/9.80 (xuntil6(s248) | (~until5(s248))),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17430, 294, 17424])).
% 14.08/9.80 tff(17432,plain,
% 14.08/9.80 (~until5(s248)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17431, 17411])).
% 14.08/9.80 tff(17433,plain,
% 14.08/9.80 (succ(s247, s248) <=> succ(s247, s248)),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17434,axiom,(succ(s247, s248)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound248')).
% 14.08/9.80 tff(17435,plain,
% 14.08/9.80 (succ(s247, s248)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 14.08/9.80 tff(17436,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17437,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17438,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17437, 17436])).
% 14.08/9.80 tff(17439,plain,
% 14.08/9.80 ((~xuntil6(s247)) | until5(s248)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17438, 17435, 312])).
% 14.08/9.80 tff(17440,plain,
% 14.08/9.80 (~xuntil6(s247)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17439, 17432])).
% 14.08/9.80 tff(17441,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17442,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17443,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17442, 17441])).
% 14.08/9.80 tff(17444,plain,
% 14.08/9.80 (trans(s247, s248)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17443, 17435, 52])).
% 14.08/9.80 tff(17445,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s247, s248)) | (~always3(s247)) | always3(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s247, s248)) | (~always3(s247)) | always3(s248))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17446,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s247, s248)) | (~always3(s247)) | always3(s248))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17447,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s247, s248)) | (~always3(s247)) | always3(s248)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17446, 17445])).
% 14.08/9.80 tff(17448,plain,
% 14.08/9.80 ((~always3(s247)) | always3(s248)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17447, 125, 17444])).
% 14.08/9.80 tff(17449,plain,
% 14.08/9.80 (~always3(s247)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17448, 17420])).
% 14.08/9.80 tff(17450,plain,
% 14.08/9.80 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s247) | (~node4(s247)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s247) | (~node4(s247)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17451,plain,
% 14.08/9.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s247) | (~node4(s247)))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17452,plain,
% 14.08/9.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s247) | (~node4(s247))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17451, 17450])).
% 14.08/9.80 tff(17453,plain,
% 14.08/9.80 (~node4(s247)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17452, 36, 17449])).
% 14.08/9.80 tff(17454,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s247) | node4(s247) | (~until5(s247)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s247) | node4(s247) | (~until5(s247)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17455,plain,
% 14.08/9.80 ((node4(s247) | (~until5(s247)) | xuntil6(s247)) <=> (xuntil6(s247) | node4(s247) | (~until5(s247)))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17456,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s247) | (~until5(s247)) | xuntil6(s247))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s247) | node4(s247) | (~until5(s247))))),
% 14.08/9.80 inference(monotonicity,[status(thm)],[17455])).
% 14.08/9.80 tff(17457,plain,
% 14.08/9.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s247) | (~until5(s247)) | xuntil6(s247))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s247) | node4(s247) | (~until5(s247)))),
% 14.08/9.80 inference(transitivity,[status(thm)],[17456, 17454])).
% 14.08/9.80 tff(17458,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s247) | (~until5(s247)) | xuntil6(s247))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17459,plain,
% 14.08/9.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s247) | node4(s247) | (~until5(s247))),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 14.08/9.80 tff(17460,plain,
% 14.08/9.80 (xuntil6(s247) | (~until5(s247))),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17459, 294, 17453])).
% 14.08/9.80 tff(17461,plain,
% 14.08/9.80 (~until5(s247)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17460, 17440])).
% 14.08/9.80 tff(17462,plain,
% 14.08/9.80 (succ(s246, s247) <=> succ(s246, s247)),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17463,axiom,(succ(s246, s247)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound247')).
% 14.08/9.80 tff(17464,plain,
% 14.08/9.80 (succ(s246, s247)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17463, 17462])).
% 14.08/9.80 tff(17465,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17466,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17467,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 14.08/9.80 tff(17468,plain,
% 14.08/9.80 ((~xuntil6(s246)) | until5(s247)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17467, 17464, 312])).
% 14.08/9.80 tff(17469,plain,
% 14.08/9.80 (~xuntil6(s246)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17468, 17461])).
% 14.08/9.80 tff(17470,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.80 tff(17471,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))),
% 14.08/9.80 inference(quant_inst,[status(thm)],[])).
% 14.08/9.80 tff(17472,plain,
% 14.08/9.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247)),
% 14.08/9.80 inference(modus_ponens,[status(thm)],[17471, 17470])).
% 14.08/9.80 tff(17473,plain,
% 14.08/9.80 (trans(s246, s247)),
% 14.08/9.80 inference(unit_resolution,[status(thm)],[17472, 17464, 52])).
% 14.08/9.80 tff(17474,plain,
% 14.08/9.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s246, s247)) | (~always3(s246)) | always3(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s246, s247)) | (~always3(s246)) | always3(s247))),
% 14.08/9.80 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17475,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s246, s247)) | (~always3(s246)) | always3(s247))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17476,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s246, s247)) | (~always3(s246)) | always3(s247)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17475, 17474])).
% 14.08/9.81 tff(17477,plain,
% 14.08/9.81 ((~always3(s246)) | always3(s247)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17476, 125, 17473])).
% 14.08/9.81 tff(17478,plain,
% 14.08/9.81 (~always3(s246)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17477, 17449])).
% 14.08/9.81 tff(17479,plain,
% 14.08/9.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s246) | (~node4(s246)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s246) | (~node4(s246)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17480,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s246) | (~node4(s246)))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17481,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s246) | (~node4(s246))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17480, 17479])).
% 14.08/9.81 tff(17482,plain,
% 14.08/9.81 (~node4(s246)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17481, 36, 17478])).
% 14.08/9.81 tff(17483,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s246) | node4(s246) | (~until5(s246)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s246) | node4(s246) | (~until5(s246)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17484,plain,
% 14.08/9.81 ((node4(s246) | (~until5(s246)) | xuntil6(s246)) <=> (xuntil6(s246) | node4(s246) | (~until5(s246)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17485,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s246) | (~until5(s246)) | xuntil6(s246))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s246) | node4(s246) | (~until5(s246))))),
% 14.08/9.81 inference(monotonicity,[status(thm)],[17484])).
% 14.08/9.81 tff(17486,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s246) | (~until5(s246)) | xuntil6(s246))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s246) | node4(s246) | (~until5(s246)))),
% 14.08/9.81 inference(transitivity,[status(thm)],[17485, 17483])).
% 14.08/9.81 tff(17487,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s246) | (~until5(s246)) | xuntil6(s246))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17488,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s246) | node4(s246) | (~until5(s246))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17487, 17486])).
% 14.08/9.81 tff(17489,plain,
% 14.08/9.81 (xuntil6(s246) | (~until5(s246))),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17488, 294, 17482])).
% 14.08/9.81 tff(17490,plain,
% 14.08/9.81 (~until5(s246)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17489, 17469])).
% 14.08/9.81 tff(17491,plain,
% 14.08/9.81 (succ(s245, s246) <=> succ(s245, s246)),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17492,axiom,(succ(s245, s246)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound246')).
% 14.08/9.81 tff(17493,plain,
% 14.08/9.81 (succ(s245, s246)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17492, 17491])).
% 14.08/9.81 tff(17494,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s245, s246)) | (~xuntil6(s245)) | until5(s246))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s245, s246)) | (~xuntil6(s245)) | until5(s246))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17495,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s245, s246)) | (~xuntil6(s245)) | until5(s246))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17496,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s245, s246)) | (~xuntil6(s245)) | until5(s246)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 14.08/9.81 tff(17497,plain,
% 14.08/9.81 ((~xuntil6(s245)) | until5(s246)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17496, 17493, 312])).
% 14.08/9.81 tff(17498,plain,
% 14.08/9.81 (~xuntil6(s245)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17497, 17490])).
% 14.08/9.81 tff(17499,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17500,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17501,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17500, 17499])).
% 14.08/9.81 tff(17502,plain,
% 14.08/9.81 (trans(s245, s246)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17501, 17493, 52])).
% 14.08/9.81 tff(17503,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s245, s246)) | (~always3(s245)) | always3(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s245, s246)) | (~always3(s245)) | always3(s246))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17504,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s245, s246)) | (~always3(s245)) | always3(s246))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17505,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s245, s246)) | (~always3(s245)) | always3(s246)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17504, 17503])).
% 14.08/9.81 tff(17506,plain,
% 14.08/9.81 ((~always3(s245)) | always3(s246)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17505, 125, 17502])).
% 14.08/9.81 tff(17507,plain,
% 14.08/9.81 (~always3(s245)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17506, 17478])).
% 14.08/9.81 tff(17508,plain,
% 14.08/9.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s245) | (~node4(s245)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s245) | (~node4(s245)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17509,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s245) | (~node4(s245)))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17510,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s245) | (~node4(s245))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17509, 17508])).
% 14.08/9.81 tff(17511,plain,
% 14.08/9.81 (~node4(s245)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17510, 36, 17507])).
% 14.08/9.81 tff(17512,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s245) | node4(s245) | (~until5(s245)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s245) | node4(s245) | (~until5(s245)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17513,plain,
% 14.08/9.81 ((node4(s245) | (~until5(s245)) | xuntil6(s245)) <=> (xuntil6(s245) | node4(s245) | (~until5(s245)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17514,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s245) | (~until5(s245)) | xuntil6(s245))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s245) | node4(s245) | (~until5(s245))))),
% 14.08/9.81 inference(monotonicity,[status(thm)],[17513])).
% 14.08/9.81 tff(17515,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s245) | (~until5(s245)) | xuntil6(s245))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s245) | node4(s245) | (~until5(s245)))),
% 14.08/9.81 inference(transitivity,[status(thm)],[17514, 17512])).
% 14.08/9.81 tff(17516,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s245) | (~until5(s245)) | xuntil6(s245))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17517,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s245) | node4(s245) | (~until5(s245))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17516, 17515])).
% 14.08/9.81 tff(17518,plain,
% 14.08/9.81 (xuntil6(s245) | (~until5(s245))),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17517, 294, 17511])).
% 14.08/9.81 tff(17519,plain,
% 14.08/9.81 (~until5(s245)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17518, 17498])).
% 14.08/9.81 tff(17520,plain,
% 14.08/9.81 (succ(s244, s245) <=> succ(s244, s245)),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17521,axiom,(succ(s244, s245)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound245')).
% 14.08/9.81 tff(17522,plain,
% 14.08/9.81 (succ(s244, s245)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17521, 17520])).
% 14.08/9.81 tff(17523,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s244, s245)) | (~xuntil6(s244)) | until5(s245))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s244, s245)) | (~xuntil6(s244)) | until5(s245))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17524,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s244, s245)) | (~xuntil6(s244)) | until5(s245))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17525,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s244, s245)) | (~xuntil6(s244)) | until5(s245)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17524, 17523])).
% 14.08/9.81 tff(17526,plain,
% 14.08/9.81 ((~xuntil6(s244)) | until5(s245)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17525, 17522, 312])).
% 14.08/9.81 tff(17527,plain,
% 14.08/9.81 (~xuntil6(s244)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17526, 17519])).
% 14.08/9.81 tff(17528,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17529,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17530,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17529, 17528])).
% 14.08/9.81 tff(17531,plain,
% 14.08/9.81 (trans(s244, s245)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17530, 17522, 52])).
% 14.08/9.81 tff(17532,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s244, s245)) | (~always3(s244)) | always3(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s244, s245)) | (~always3(s244)) | always3(s245))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17533,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s244, s245)) | (~always3(s244)) | always3(s245))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17534,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s244, s245)) | (~always3(s244)) | always3(s245)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17533, 17532])).
% 14.08/9.81 tff(17535,plain,
% 14.08/9.81 ((~always3(s244)) | always3(s245)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17534, 125, 17531])).
% 14.08/9.81 tff(17536,plain,
% 14.08/9.81 (~always3(s244)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17535, 17507])).
% 14.08/9.81 tff(17537,plain,
% 14.08/9.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s244) | (~node4(s244)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s244) | (~node4(s244)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17538,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s244) | (~node4(s244)))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17539,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s244) | (~node4(s244))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17538, 17537])).
% 14.08/9.81 tff(17540,plain,
% 14.08/9.81 (~node4(s244)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17539, 36, 17536])).
% 14.08/9.81 tff(17541,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s244) | node4(s244) | (~until5(s244)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s244) | node4(s244) | (~until5(s244)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17542,plain,
% 14.08/9.81 ((node4(s244) | (~until5(s244)) | xuntil6(s244)) <=> (xuntil6(s244) | node4(s244) | (~until5(s244)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17543,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s244) | (~until5(s244)) | xuntil6(s244))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s244) | node4(s244) | (~until5(s244))))),
% 14.08/9.81 inference(monotonicity,[status(thm)],[17542])).
% 14.08/9.81 tff(17544,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s244) | (~until5(s244)) | xuntil6(s244))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s244) | node4(s244) | (~until5(s244)))),
% 14.08/9.81 inference(transitivity,[status(thm)],[17543, 17541])).
% 14.08/9.81 tff(17545,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s244) | (~until5(s244)) | xuntil6(s244))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17546,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s244) | node4(s244) | (~until5(s244))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 14.08/9.81 tff(17547,plain,
% 14.08/9.81 (xuntil6(s244) | (~until5(s244))),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17546, 294, 17540])).
% 14.08/9.81 tff(17548,plain,
% 14.08/9.81 (~until5(s244)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17547, 17527])).
% 14.08/9.81 tff(17549,plain,
% 14.08/9.81 (succ(s243, s244) <=> succ(s243, s244)),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17550,axiom,(succ(s243, s244)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound244')).
% 14.08/9.81 tff(17551,plain,
% 14.08/9.81 (succ(s243, s244)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17550, 17549])).
% 14.08/9.81 tff(17552,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s243, s244)) | (~xuntil6(s243)) | until5(s244))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s243, s244)) | (~xuntil6(s243)) | until5(s244))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17553,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s243, s244)) | (~xuntil6(s243)) | until5(s244))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17554,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s243, s244)) | (~xuntil6(s243)) | until5(s244)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 14.08/9.81 tff(17555,plain,
% 14.08/9.81 ((~xuntil6(s243)) | until5(s244)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17554, 17551, 312])).
% 14.08/9.81 tff(17556,plain,
% 14.08/9.81 (~xuntil6(s243)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17555, 17548])).
% 14.08/9.81 tff(17557,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17558,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17559,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17558, 17557])).
% 14.08/9.81 tff(17560,plain,
% 14.08/9.81 (trans(s243, s244)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17559, 17551, 52])).
% 14.08/9.81 tff(17561,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s243, s244)) | (~always3(s243)) | always3(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s243, s244)) | (~always3(s243)) | always3(s244))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17562,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s243, s244)) | (~always3(s243)) | always3(s244))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17563,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s243, s244)) | (~always3(s243)) | always3(s244)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17562, 17561])).
% 14.08/9.81 tff(17564,plain,
% 14.08/9.81 ((~always3(s243)) | always3(s244)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17563, 125, 17560])).
% 14.08/9.81 tff(17565,plain,
% 14.08/9.81 (~always3(s243)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17564, 17536])).
% 14.08/9.81 tff(17566,plain,
% 14.08/9.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s243) | (~node4(s243)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s243) | (~node4(s243)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17567,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s243) | (~node4(s243)))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17568,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s243) | (~node4(s243))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17567, 17566])).
% 14.08/9.81 tff(17569,plain,
% 14.08/9.81 (~node4(s243)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17568, 36, 17565])).
% 14.08/9.81 tff(17570,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s243) | node4(s243) | (~until5(s243)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s243) | node4(s243) | (~until5(s243)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17571,plain,
% 14.08/9.81 ((node4(s243) | (~until5(s243)) | xuntil6(s243)) <=> (xuntil6(s243) | node4(s243) | (~until5(s243)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17572,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s243) | (~until5(s243)) | xuntil6(s243))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s243) | node4(s243) | (~until5(s243))))),
% 14.08/9.81 inference(monotonicity,[status(thm)],[17571])).
% 14.08/9.81 tff(17573,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s243) | (~until5(s243)) | xuntil6(s243))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s243) | node4(s243) | (~until5(s243)))),
% 14.08/9.81 inference(transitivity,[status(thm)],[17572, 17570])).
% 14.08/9.81 tff(17574,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s243) | (~until5(s243)) | xuntil6(s243))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17575,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s243) | node4(s243) | (~until5(s243))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17574, 17573])).
% 14.08/9.81 tff(17576,plain,
% 14.08/9.81 (xuntil6(s243) | (~until5(s243))),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17575, 294, 17569])).
% 14.08/9.81 tff(17577,plain,
% 14.08/9.81 (~until5(s243)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17576, 17556])).
% 14.08/9.81 tff(17578,plain,
% 14.08/9.81 (succ(s242, s243) <=> succ(s242, s243)),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17579,axiom,(succ(s242, s243)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound243')).
% 14.08/9.81 tff(17580,plain,
% 14.08/9.81 (succ(s242, s243)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17579, 17578])).
% 14.08/9.81 tff(17581,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s242, s243)) | (~xuntil6(s242)) | until5(s243))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s242, s243)) | (~xuntil6(s242)) | until5(s243))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17582,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s242, s243)) | (~xuntil6(s242)) | until5(s243))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17583,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s242, s243)) | (~xuntil6(s242)) | until5(s243)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 14.08/9.81 tff(17584,plain,
% 14.08/9.81 ((~xuntil6(s242)) | until5(s243)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17583, 17580, 312])).
% 14.08/9.81 tff(17585,plain,
% 14.08/9.81 (~xuntil6(s242)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17584, 17577])).
% 14.08/9.81 tff(17586,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17587,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17588,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17587, 17586])).
% 14.08/9.81 tff(17589,plain,
% 14.08/9.81 (trans(s242, s243)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17588, 17580, 52])).
% 14.08/9.81 tff(17590,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s242, s243)) | (~always3(s242)) | always3(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s242, s243)) | (~always3(s242)) | always3(s243))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17591,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s242, s243)) | (~always3(s242)) | always3(s243))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17592,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s242, s243)) | (~always3(s242)) | always3(s243)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17591, 17590])).
% 14.08/9.81 tff(17593,plain,
% 14.08/9.81 ((~always3(s242)) | always3(s243)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17592, 125, 17589])).
% 14.08/9.81 tff(17594,plain,
% 14.08/9.81 (~always3(s242)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17593, 17565])).
% 14.08/9.81 tff(17595,plain,
% 14.08/9.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s242) | (~node4(s242)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s242) | (~node4(s242)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17596,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s242) | (~node4(s242)))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17597,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s242) | (~node4(s242))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17596, 17595])).
% 14.08/9.81 tff(17598,plain,
% 14.08/9.81 (~node4(s242)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17597, 36, 17594])).
% 14.08/9.81 tff(17599,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s242) | node4(s242) | (~until5(s242)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s242) | node4(s242) | (~until5(s242)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17600,plain,
% 14.08/9.81 ((node4(s242) | (~until5(s242)) | xuntil6(s242)) <=> (xuntil6(s242) | node4(s242) | (~until5(s242)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17601,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s242) | (~until5(s242)) | xuntil6(s242))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s242) | node4(s242) | (~until5(s242))))),
% 14.08/9.81 inference(monotonicity,[status(thm)],[17600])).
% 14.08/9.81 tff(17602,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s242) | (~until5(s242)) | xuntil6(s242))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s242) | node4(s242) | (~until5(s242)))),
% 14.08/9.81 inference(transitivity,[status(thm)],[17601, 17599])).
% 14.08/9.81 tff(17603,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s242) | (~until5(s242)) | xuntil6(s242))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17604,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s242) | node4(s242) | (~until5(s242))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17603, 17602])).
% 14.08/9.81 tff(17605,plain,
% 14.08/9.81 (xuntil6(s242) | (~until5(s242))),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17604, 294, 17598])).
% 14.08/9.81 tff(17606,plain,
% 14.08/9.81 (~until5(s242)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17605, 17585])).
% 14.08/9.81 tff(17607,plain,
% 14.08/9.81 (succ(s241, s242) <=> succ(s241, s242)),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17608,axiom,(succ(s241, s242)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound242')).
% 14.08/9.81 tff(17609,plain,
% 14.08/9.81 (succ(s241, s242)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 14.08/9.81 tff(17610,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s241, s242)) | (~xuntil6(s241)) | until5(s242))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s241, s242)) | (~xuntil6(s241)) | until5(s242))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17611,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s241, s242)) | (~xuntil6(s241)) | until5(s242))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17612,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s241, s242)) | (~xuntil6(s241)) | until5(s242)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17611, 17610])).
% 14.08/9.81 tff(17613,plain,
% 14.08/9.81 ((~xuntil6(s241)) | until5(s242)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17612, 17609, 312])).
% 14.08/9.81 tff(17614,plain,
% 14.08/9.81 (~xuntil6(s241)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17613, 17606])).
% 14.08/9.81 tff(17615,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17616,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17617,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17616, 17615])).
% 14.08/9.81 tff(17618,plain,
% 14.08/9.81 (trans(s241, s242)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17617, 17609, 52])).
% 14.08/9.81 tff(17619,plain,
% 14.08/9.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s241, s242)) | (~always3(s241)) | always3(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s241, s242)) | (~always3(s241)) | always3(s242))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17620,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s241, s242)) | (~always3(s241)) | always3(s242))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17621,plain,
% 14.08/9.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s241, s242)) | (~always3(s241)) | always3(s242)),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17620, 17619])).
% 14.08/9.81 tff(17622,plain,
% 14.08/9.81 ((~always3(s241)) | always3(s242)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17621, 125, 17618])).
% 14.08/9.81 tff(17623,plain,
% 14.08/9.81 (~always3(s241)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17622, 17594])).
% 14.08/9.81 tff(17624,plain,
% 14.08/9.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s241) | (~node4(s241)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s241) | (~node4(s241)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17625,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s241) | (~node4(s241)))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17626,plain,
% 14.08/9.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s241) | (~node4(s241))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 14.08/9.81 tff(17627,plain,
% 14.08/9.81 (~node4(s241)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17626, 36, 17623])).
% 14.08/9.81 tff(17628,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s241) | node4(s241) | (~until5(s241)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s241) | node4(s241) | (~until5(s241)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17629,plain,
% 14.08/9.81 ((node4(s241) | (~until5(s241)) | xuntil6(s241)) <=> (xuntil6(s241) | node4(s241) | (~until5(s241)))),
% 14.08/9.81 inference(rewrite,[status(thm)],[])).
% 14.08/9.81 tff(17630,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s241) | (~until5(s241)) | xuntil6(s241))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s241) | node4(s241) | (~until5(s241))))),
% 14.08/9.81 inference(monotonicity,[status(thm)],[17629])).
% 14.08/9.81 tff(17631,plain,
% 14.08/9.81 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s241) | (~until5(s241)) | xuntil6(s241))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s241) | node4(s241) | (~until5(s241)))),
% 14.08/9.81 inference(transitivity,[status(thm)],[17630, 17628])).
% 14.08/9.81 tff(17632,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s241) | (~until5(s241)) | xuntil6(s241))),
% 14.08/9.81 inference(quant_inst,[status(thm)],[])).
% 14.08/9.81 tff(17633,plain,
% 14.08/9.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s241) | node4(s241) | (~until5(s241))),
% 14.08/9.81 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 14.08/9.81 tff(17634,plain,
% 14.08/9.81 (xuntil6(s241) | (~until5(s241))),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17633, 294, 17627])).
% 14.08/9.81 tff(17635,plain,
% 14.08/9.81 (~until5(s241)),
% 14.08/9.81 inference(unit_resolution,[status(thm)],[17634, 17614])).
% 14.08/9.81 tff(17636,plain,
% 14.08/9.82 (succ(s240, s241) <=> succ(s240, s241)),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17637,axiom,(succ(s240, s241)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound241')).
% 14.08/9.82 tff(17638,plain,
% 14.08/9.82 (succ(s240, s241)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17637, 17636])).
% 14.08/9.82 tff(17639,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17640,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17641,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17640, 17639])).
% 14.08/9.82 tff(17642,plain,
% 14.08/9.82 ((~xuntil6(s240)) | until5(s241)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17641, 17638, 312])).
% 14.08/9.82 tff(17643,plain,
% 14.08/9.82 (~xuntil6(s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17642, 17635])).
% 14.08/9.82 tff(17644,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17645,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17646,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17645, 17644])).
% 14.08/9.82 tff(17647,plain,
% 14.08/9.82 (trans(s240, s241)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17646, 17638, 52])).
% 14.08/9.82 tff(17648,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s240, s241)) | (~always3(s240)) | always3(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s240, s241)) | (~always3(s240)) | always3(s241))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17649,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s240, s241)) | (~always3(s240)) | always3(s241))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17650,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s240, s241)) | (~always3(s240)) | always3(s241)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17649, 17648])).
% 14.08/9.82 tff(17651,plain,
% 14.08/9.82 ((~always3(s240)) | always3(s241)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17650, 125, 17647])).
% 14.08/9.82 tff(17652,plain,
% 14.08/9.82 (~always3(s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17651, 17623])).
% 14.08/9.82 tff(17653,plain,
% 14.08/9.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s240) | (~node4(s240)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s240) | (~node4(s240)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17654,plain,
% 14.08/9.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s240) | (~node4(s240)))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17655,plain,
% 14.08/9.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s240) | (~node4(s240))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17654, 17653])).
% 14.08/9.82 tff(17656,plain,
% 14.08/9.82 (~node4(s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17655, 36, 17652])).
% 14.08/9.82 tff(17657,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s240) | node4(s240) | (~until5(s240)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s240) | node4(s240) | (~until5(s240)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17658,plain,
% 14.08/9.82 ((node4(s240) | (~until5(s240)) | xuntil6(s240)) <=> (xuntil6(s240) | node4(s240) | (~until5(s240)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17659,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s240) | (~until5(s240)) | xuntil6(s240))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s240) | node4(s240) | (~until5(s240))))),
% 14.08/9.82 inference(monotonicity,[status(thm)],[17658])).
% 14.08/9.82 tff(17660,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s240) | (~until5(s240)) | xuntil6(s240))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s240) | node4(s240) | (~until5(s240)))),
% 14.08/9.82 inference(transitivity,[status(thm)],[17659, 17657])).
% 14.08/9.82 tff(17661,plain,
% 14.08/9.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s240) | (~until5(s240)) | xuntil6(s240))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17662,plain,
% 14.08/9.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s240) | node4(s240) | (~until5(s240))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17661, 17660])).
% 14.08/9.82 tff(17663,plain,
% 14.08/9.82 (xuntil6(s240) | (~until5(s240))),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17662, 294, 17656])).
% 14.08/9.82 tff(17664,plain,
% 14.08/9.82 (~until5(s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17663, 17643])).
% 14.08/9.82 tff(17665,plain,
% 14.08/9.82 (succ(s239, s240) <=> succ(s239, s240)),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17666,axiom,(succ(s239, s240)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound240')).
% 14.08/9.82 tff(17667,plain,
% 14.08/9.82 (succ(s239, s240)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 14.08/9.82 tff(17668,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17669,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17670,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17669, 17668])).
% 14.08/9.82 tff(17671,plain,
% 14.08/9.82 ((~xuntil6(s239)) | until5(s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17670, 17667, 312])).
% 14.08/9.82 tff(17672,plain,
% 14.08/9.82 (~xuntil6(s239)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17671, 17664])).
% 14.08/9.82 tff(17673,assumption,(node4(s239)), introduced(assumption)).
% 14.08/9.82 tff(17674,plain,
% 14.08/9.82 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s239) | (~node4(s239)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s239) | (~node4(s239)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17675,plain,
% 14.08/9.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s239) | (~node4(s239)))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17676,plain,
% 14.08/9.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s239) | (~node4(s239))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17675, 17674])).
% 14.08/9.82 tff(17677,plain,
% 14.08/9.82 (m_main_v_request(s239)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17676, 21, 17673])).
% 14.08/9.82 tff(17678,plain,
% 14.08/9.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s239) | (~node4(s239)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s239) | (~node4(s239)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17679,plain,
% 14.08/9.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s239) | (~node4(s239)))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17680,plain,
% 14.08/9.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s239) | (~node4(s239))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17679, 17678])).
% 14.08/9.82 tff(17681,plain,
% 14.08/9.82 (always3(s239)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17680, 36, 17673])).
% 14.08/9.82 tff(17682,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17683,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17684,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 14.08/9.82 tff(17685,plain,
% 14.08/9.82 (trans(s239, s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17684, 17667, 52])).
% 14.08/9.82 tff(17686,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s239, s240)) | (~always3(s239)) | always3(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s239, s240)) | (~always3(s239)) | always3(s240))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17687,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s239, s240)) | (~always3(s239)) | always3(s240))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17688,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s239, s240)) | (~always3(s239)) | always3(s240)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17687, 17686])).
% 14.08/9.82 tff(17689,plain,
% 14.08/9.82 ((~always3(s239)) | always3(s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17688, 125, 17685])).
% 14.08/9.82 tff(17690,plain,
% 14.08/9.82 (always3(s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17689, 17681])).
% 14.08/9.82 tff(17691,plain,
% 14.08/9.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s240)) | (~m_main_v_state(s240, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s240)) | (~m_main_v_state(s240, c_busy)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17692,plain,
% 14.08/9.82 (((~m_main_v_state(s240, c_busy)) | (~always3(s240))) <=> ((~always3(s240)) | (~m_main_v_state(s240, c_busy)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17693,plain,
% 14.08/9.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s240, c_busy)) | (~always3(s240)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s240)) | (~m_main_v_state(s240, c_busy))))),
% 14.08/9.82 inference(monotonicity,[status(thm)],[17692])).
% 14.08/9.82 tff(17694,plain,
% 14.08/9.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s240, c_busy)) | (~always3(s240)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s240)) | (~m_main_v_state(s240, c_busy)))),
% 14.08/9.82 inference(transitivity,[status(thm)],[17693, 17691])).
% 14.08/9.82 tff(17695,plain,
% 14.08/9.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s240, c_busy)) | (~always3(s240)))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17696,plain,
% 14.08/9.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s240)) | (~m_main_v_state(s240, c_busy))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17695, 17694])).
% 14.08/9.82 tff(17697,plain,
% 14.08/9.82 (~m_main_v_state(s240, c_busy)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17696, 85, 17690])).
% 14.08/9.82 tff(17698,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s239, s240)) | node2(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s239, s240)) | node2(s239, s240))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17699,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s239, s240)) | node2(s239, s240))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17700,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s239, s240)) | node2(s239, s240)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17699, 17698])).
% 14.08/9.82 tff(17701,plain,
% 14.08/9.82 (node2(s239, s240)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17700, 7, 17685])).
% 14.08/9.82 tff(17702,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17703,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239)))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17704,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17703, 17702])).
% 14.08/9.82 tff(17705,plain,
% 14.08/9.82 ((~m_main_v_state(s239, c_ready)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239))),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17704, 73, 17701])).
% 14.08/9.82 tff(17706,plain,
% 14.08/9.82 (~m_main_v_state(s239, c_ready)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17705, 17697, 17677])).
% 14.08/9.82 tff(17707,plain,
% 14.08/9.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s239)) | (~m_main_v_state(s239, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s239)) | (~m_main_v_state(s239, c_busy)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17708,plain,
% 14.08/9.82 (((~m_main_v_state(s239, c_busy)) | (~always3(s239))) <=> ((~always3(s239)) | (~m_main_v_state(s239, c_busy)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17709,plain,
% 14.08/9.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s239, c_busy)) | (~always3(s239)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s239)) | (~m_main_v_state(s239, c_busy))))),
% 14.08/9.82 inference(monotonicity,[status(thm)],[17708])).
% 14.08/9.82 tff(17710,plain,
% 14.08/9.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s239, c_busy)) | (~always3(s239)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s239)) | (~m_main_v_state(s239, c_busy)))),
% 14.08/9.82 inference(transitivity,[status(thm)],[17709, 17707])).
% 14.08/9.82 tff(17711,plain,
% 14.08/9.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s239, c_busy)) | (~always3(s239)))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17712,plain,
% 14.08/9.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s239)) | (~m_main_v_state(s239, c_busy))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17711, 17710])).
% 14.08/9.82 tff(17713,plain,
% 14.08/9.82 (~m_main_v_state(s239, c_busy)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17712, 85, 17681])).
% 14.08/9.82 tff(17714,plain,
% 14.08/9.82 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17715,plain,
% 14.08/9.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17716,plain,
% 14.08/9.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17715, 17714])).
% 14.08/9.82 tff(17717,plain,
% 14.08/9.82 ($false),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17716, 102, 17713, 17706])).
% 14.08/9.82 tff(17718,plain,(~node4(s239)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.82 tff(17719,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s239) | node4(s239) | (~until5(s239)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s239) | node4(s239) | (~until5(s239)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17720,plain,
% 14.08/9.82 ((node4(s239) | (~until5(s239)) | xuntil6(s239)) <=> (xuntil6(s239) | node4(s239) | (~until5(s239)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17721,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s239) | (~until5(s239)) | xuntil6(s239))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s239) | node4(s239) | (~until5(s239))))),
% 14.08/9.82 inference(monotonicity,[status(thm)],[17720])).
% 14.08/9.82 tff(17722,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s239) | (~until5(s239)) | xuntil6(s239))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s239) | node4(s239) | (~until5(s239)))),
% 14.08/9.82 inference(transitivity,[status(thm)],[17721, 17719])).
% 14.08/9.82 tff(17723,plain,
% 14.08/9.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s239) | (~until5(s239)) | xuntil6(s239))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17724,plain,
% 14.08/9.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s239) | node4(s239) | (~until5(s239))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17723, 17722])).
% 14.08/9.82 tff(17725,plain,
% 14.08/9.82 (xuntil6(s239) | (~until5(s239))),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17724, 294, 17718])).
% 14.08/9.82 tff(17726,plain,
% 14.08/9.82 (~until5(s239)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17725, 17672])).
% 14.08/9.82 tff(17727,plain,
% 14.08/9.82 (succ(s238, s239) <=> succ(s238, s239)),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17728,axiom,(succ(s238, s239)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound239')).
% 14.08/9.82 tff(17729,plain,
% 14.08/9.82 (succ(s238, s239)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17728, 17727])).
% 14.08/9.82 tff(17730,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17731,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17732,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17731, 17730])).
% 14.08/9.82 tff(17733,plain,
% 14.08/9.82 ((~xuntil6(s238)) | until5(s239)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17732, 17729, 312])).
% 14.08/9.82 tff(17734,plain,
% 14.08/9.82 (~xuntil6(s238)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17733, 17726])).
% 14.08/9.82 tff(17735,plain,
% 14.08/9.82 (~always3(s239)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17689, 17652])).
% 14.08/9.82 tff(17736,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17737,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17738,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17737, 17736])).
% 14.08/9.82 tff(17739,plain,
% 14.08/9.82 (trans(s238, s239)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17738, 17729, 52])).
% 14.08/9.82 tff(17740,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s238, s239)) | (~always3(s238)) | always3(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s238, s239)) | (~always3(s238)) | always3(s239))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17741,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s238, s239)) | (~always3(s238)) | always3(s239))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17742,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s238, s239)) | (~always3(s238)) | always3(s239)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17741, 17740])).
% 14.08/9.82 tff(17743,plain,
% 14.08/9.82 ((~always3(s238)) | always3(s239)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17742, 125, 17739])).
% 14.08/9.82 tff(17744,plain,
% 14.08/9.82 (~always3(s238)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17743, 17735])).
% 14.08/9.82 tff(17745,plain,
% 14.08/9.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s238) | (~node4(s238)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s238) | (~node4(s238)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17746,plain,
% 14.08/9.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s238) | (~node4(s238)))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17747,plain,
% 14.08/9.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s238) | (~node4(s238))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17746, 17745])).
% 14.08/9.82 tff(17748,plain,
% 14.08/9.82 (~node4(s238)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17747, 36, 17744])).
% 14.08/9.82 tff(17749,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s238) | node4(s238) | (~until5(s238)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s238) | node4(s238) | (~until5(s238)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17750,plain,
% 14.08/9.82 ((node4(s238) | (~until5(s238)) | xuntil6(s238)) <=> (xuntil6(s238) | node4(s238) | (~until5(s238)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17751,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s238) | (~until5(s238)) | xuntil6(s238))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s238) | node4(s238) | (~until5(s238))))),
% 14.08/9.82 inference(monotonicity,[status(thm)],[17750])).
% 14.08/9.82 tff(17752,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s238) | (~until5(s238)) | xuntil6(s238))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s238) | node4(s238) | (~until5(s238)))),
% 14.08/9.82 inference(transitivity,[status(thm)],[17751, 17749])).
% 14.08/9.82 tff(17753,plain,
% 14.08/9.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s238) | (~until5(s238)) | xuntil6(s238))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17754,plain,
% 14.08/9.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s238) | node4(s238) | (~until5(s238))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 14.08/9.82 tff(17755,plain,
% 14.08/9.82 (xuntil6(s238) | (~until5(s238))),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17754, 294, 17748])).
% 14.08/9.82 tff(17756,plain,
% 14.08/9.82 (~until5(s238)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17755, 17734])).
% 14.08/9.82 tff(17757,plain,
% 14.08/9.82 (succ(s237, s238) <=> succ(s237, s238)),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17758,axiom,(succ(s237, s238)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound238')).
% 14.08/9.82 tff(17759,plain,
% 14.08/9.82 (succ(s237, s238)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17758, 17757])).
% 14.08/9.82 tff(17760,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17761,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17762,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17761, 17760])).
% 14.08/9.82 tff(17763,plain,
% 14.08/9.82 ((~xuntil6(s237)) | until5(s238)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17762, 17759, 312])).
% 14.08/9.82 tff(17764,plain,
% 14.08/9.82 (~xuntil6(s237)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17763, 17756])).
% 14.08/9.82 tff(17765,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17766,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17767,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17766, 17765])).
% 14.08/9.82 tff(17768,plain,
% 14.08/9.82 (trans(s237, s238)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17767, 17759, 52])).
% 14.08/9.82 tff(17769,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s237, s238)) | (~always3(s237)) | always3(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s237, s238)) | (~always3(s237)) | always3(s238))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17770,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s237, s238)) | (~always3(s237)) | always3(s238))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17771,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s237, s238)) | (~always3(s237)) | always3(s238)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17770, 17769])).
% 14.08/9.82 tff(17772,plain,
% 14.08/9.82 ((~always3(s237)) | always3(s238)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17771, 125, 17768])).
% 14.08/9.82 tff(17773,plain,
% 14.08/9.82 (~always3(s237)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17772, 17744])).
% 14.08/9.82 tff(17774,plain,
% 14.08/9.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s237) | (~node4(s237)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s237) | (~node4(s237)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17775,plain,
% 14.08/9.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s237) | (~node4(s237)))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17776,plain,
% 14.08/9.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s237) | (~node4(s237))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17775, 17774])).
% 14.08/9.82 tff(17777,plain,
% 14.08/9.82 (~node4(s237)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17776, 36, 17773])).
% 14.08/9.82 tff(17778,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s237) | node4(s237) | (~until5(s237)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s237) | node4(s237) | (~until5(s237)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17779,plain,
% 14.08/9.82 ((node4(s237) | (~until5(s237)) | xuntil6(s237)) <=> (xuntil6(s237) | node4(s237) | (~until5(s237)))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17780,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s237) | (~until5(s237)) | xuntil6(s237))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s237) | node4(s237) | (~until5(s237))))),
% 14.08/9.82 inference(monotonicity,[status(thm)],[17779])).
% 14.08/9.82 tff(17781,plain,
% 14.08/9.82 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s237) | (~until5(s237)) | xuntil6(s237))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s237) | node4(s237) | (~until5(s237)))),
% 14.08/9.82 inference(transitivity,[status(thm)],[17780, 17778])).
% 14.08/9.82 tff(17782,plain,
% 14.08/9.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s237) | (~until5(s237)) | xuntil6(s237))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17783,plain,
% 14.08/9.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s237) | node4(s237) | (~until5(s237))),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17782, 17781])).
% 14.08/9.82 tff(17784,plain,
% 14.08/9.82 (xuntil6(s237) | (~until5(s237))),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17783, 294, 17777])).
% 14.08/9.82 tff(17785,plain,
% 14.08/9.82 (~until5(s237)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17784, 17764])).
% 14.08/9.82 tff(17786,plain,
% 14.08/9.82 (succ(s236, s237) <=> succ(s236, s237)),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17787,axiom,(succ(s236, s237)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound237')).
% 14.08/9.82 tff(17788,plain,
% 14.08/9.82 (succ(s236, s237)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17787, 17786])).
% 14.08/9.82 tff(17789,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17790,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17791,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17790, 17789])).
% 14.08/9.82 tff(17792,plain,
% 14.08/9.82 (trans(s236, s237)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17791, 17788, 52])).
% 14.08/9.82 tff(17793,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s236, s237)) | (~always3(s236)) | always3(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s236, s237)) | (~always3(s236)) | always3(s237))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17794,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s236, s237)) | (~always3(s236)) | always3(s237))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17795,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s236, s237)) | (~always3(s236)) | always3(s237)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 14.08/9.82 tff(17796,plain,
% 14.08/9.82 ((~always3(s236)) | always3(s237)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17795, 125, 17792])).
% 14.08/9.82 tff(17797,plain,
% 14.08/9.82 (~always3(s236)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17796, 17773])).
% 14.08/9.82 tff(17798,plain,
% 14.08/9.82 (succ(s235, s236) <=> succ(s235, s236)),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17799,axiom,(succ(s235, s236)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound236')).
% 14.08/9.82 tff(17800,plain,
% 14.08/9.82 (succ(s235, s236)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17799, 17798])).
% 14.08/9.82 tff(17801,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17802,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17803,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17802, 17801])).
% 14.08/9.82 tff(17804,plain,
% 14.08/9.82 (trans(s235, s236)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17803, 17800, 52])).
% 14.08/9.82 tff(17805,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s235, s236)) | (~always3(s235)) | always3(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s235, s236)) | (~always3(s235)) | always3(s236))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17806,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s235, s236)) | (~always3(s235)) | always3(s236))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17807,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s235, s236)) | (~always3(s235)) | always3(s236)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17806, 17805])).
% 14.08/9.82 tff(17808,plain,
% 14.08/9.82 ((~always3(s235)) | always3(s236)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17807, 125, 17804])).
% 14.08/9.82 tff(17809,plain,
% 14.08/9.82 (~always3(s235)),
% 14.08/9.82 inference(unit_resolution,[status(thm)],[17808, 17797])).
% 14.08/9.82 tff(17810,plain,
% 14.08/9.82 (succ(s234, s235) <=> succ(s234, s235)),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17811,axiom,(succ(s234, s235)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound235')).
% 14.08/9.82 tff(17812,plain,
% 14.08/9.82 (succ(s234, s235)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17811, 17810])).
% 14.08/9.82 tff(17813,plain,
% 14.08/9.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235))),
% 14.08/9.82 inference(rewrite,[status(thm)],[])).
% 14.08/9.82 tff(17814,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))),
% 14.08/9.82 inference(quant_inst,[status(thm)],[])).
% 14.08/9.82 tff(17815,plain,
% 14.08/9.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235)),
% 14.08/9.82 inference(modus_ponens,[status(thm)],[17814, 17813])).
% 14.08/9.82 tff(17816,plain,
% 14.08/9.82 (trans(s234, s235)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17815, 17812, 52])).
% 14.08/9.83 tff(17817,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s234, s235)) | (~always3(s234)) | always3(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s234, s235)) | (~always3(s234)) | always3(s235))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17818,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s234, s235)) | (~always3(s234)) | always3(s235))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17819,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s234, s235)) | (~always3(s234)) | always3(s235)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 14.08/9.83 tff(17820,plain,
% 14.08/9.83 ((~always3(s234)) | always3(s235)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17819, 125, 17816])).
% 14.08/9.83 tff(17821,plain,
% 14.08/9.83 (~always3(s234)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17820, 17809])).
% 14.08/9.83 tff(17822,plain,
% 14.08/9.83 (succ(s233, s234) <=> succ(s233, s234)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17823,axiom,(succ(s233, s234)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound234')).
% 14.08/9.83 tff(17824,plain,
% 14.08/9.83 (succ(s233, s234)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17823, 17822])).
% 14.08/9.83 tff(17825,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17826,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17827,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17826, 17825])).
% 14.08/9.83 tff(17828,plain,
% 14.08/9.83 (trans(s233, s234)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17827, 17824, 52])).
% 14.08/9.83 tff(17829,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s233, s234)) | (~always3(s233)) | always3(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s233, s234)) | (~always3(s233)) | always3(s234))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17830,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s233, s234)) | (~always3(s233)) | always3(s234))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17831,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s233, s234)) | (~always3(s233)) | always3(s234)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17830, 17829])).
% 14.08/9.83 tff(17832,plain,
% 14.08/9.83 ((~always3(s233)) | always3(s234)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17831, 125, 17828])).
% 14.08/9.83 tff(17833,plain,
% 14.08/9.83 (~always3(s233)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17832, 17821])).
% 14.08/9.83 tff(17834,plain,
% 14.08/9.83 (succ(s232, s233) <=> succ(s232, s233)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17835,axiom,(succ(s232, s233)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound233')).
% 14.08/9.83 tff(17836,plain,
% 14.08/9.83 (succ(s232, s233)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17835, 17834])).
% 14.08/9.83 tff(17837,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17838,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17839,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17838, 17837])).
% 14.08/9.83 tff(17840,plain,
% 14.08/9.83 (trans(s232, s233)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17839, 17836, 52])).
% 14.08/9.83 tff(17841,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s232, s233)) | (~always3(s232)) | always3(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s232, s233)) | (~always3(s232)) | always3(s233))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17842,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s232, s233)) | (~always3(s232)) | always3(s233))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17843,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s232, s233)) | (~always3(s232)) | always3(s233)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17842, 17841])).
% 14.08/9.83 tff(17844,plain,
% 14.08/9.83 ((~always3(s232)) | always3(s233)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17843, 125, 17840])).
% 14.08/9.83 tff(17845,plain,
% 14.08/9.83 (~always3(s232)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17844, 17833])).
% 14.08/9.83 tff(17846,plain,
% 14.08/9.83 (succ(s231, s232) <=> succ(s231, s232)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17847,axiom,(succ(s231, s232)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound232')).
% 14.08/9.83 tff(17848,plain,
% 14.08/9.83 (succ(s231, s232)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17847, 17846])).
% 14.08/9.83 tff(17849,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17850,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17851,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17850, 17849])).
% 14.08/9.83 tff(17852,plain,
% 14.08/9.83 (trans(s231, s232)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17851, 17848, 52])).
% 14.08/9.83 tff(17853,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s231, s232)) | (~always3(s231)) | always3(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s231, s232)) | (~always3(s231)) | always3(s232))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17854,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s231, s232)) | (~always3(s231)) | always3(s232))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17855,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s231, s232)) | (~always3(s231)) | always3(s232)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17854, 17853])).
% 14.08/9.83 tff(17856,plain,
% 14.08/9.83 ((~always3(s231)) | always3(s232)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17855, 125, 17852])).
% 14.08/9.83 tff(17857,plain,
% 14.08/9.83 (~always3(s231)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17856, 17845])).
% 14.08/9.83 tff(17858,plain,
% 14.08/9.83 (succ(s230, s231) <=> succ(s230, s231)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17859,axiom,(succ(s230, s231)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound231')).
% 14.08/9.83 tff(17860,plain,
% 14.08/9.83 (succ(s230, s231)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17859, 17858])).
% 14.08/9.83 tff(17861,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17862,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17863,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17862, 17861])).
% 14.08/9.83 tff(17864,plain,
% 14.08/9.83 (trans(s230, s231)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17863, 17860, 52])).
% 14.08/9.83 tff(17865,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s230, s231)) | (~always3(s230)) | always3(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s230, s231)) | (~always3(s230)) | always3(s231))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17866,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s230, s231)) | (~always3(s230)) | always3(s231))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17867,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s230, s231)) | (~always3(s230)) | always3(s231)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17866, 17865])).
% 14.08/9.83 tff(17868,plain,
% 14.08/9.83 ((~always3(s230)) | always3(s231)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17867, 125, 17864])).
% 14.08/9.83 tff(17869,plain,
% 14.08/9.83 (~always3(s230)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17868, 17857])).
% 14.08/9.83 tff(17870,plain,
% 14.08/9.83 (succ(s229, s230) <=> succ(s229, s230)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17871,axiom,(succ(s229, s230)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound230')).
% 14.08/9.83 tff(17872,plain,
% 14.08/9.83 (succ(s229, s230)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17871, 17870])).
% 14.08/9.83 tff(17873,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17874,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17875,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17874, 17873])).
% 14.08/9.83 tff(17876,plain,
% 14.08/9.83 (trans(s229, s230)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17875, 17872, 52])).
% 14.08/9.83 tff(17877,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s229, s230)) | (~always3(s229)) | always3(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s229, s230)) | (~always3(s229)) | always3(s230))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17878,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s229, s230)) | (~always3(s229)) | always3(s230))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17879,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s229, s230)) | (~always3(s229)) | always3(s230)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17878, 17877])).
% 14.08/9.83 tff(17880,plain,
% 14.08/9.83 ((~always3(s229)) | always3(s230)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17879, 125, 17876])).
% 14.08/9.83 tff(17881,plain,
% 14.08/9.83 (~always3(s229)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17880, 17869])).
% 14.08/9.83 tff(17882,plain,
% 14.08/9.83 (succ(s228, s229) <=> succ(s228, s229)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17883,axiom,(succ(s228, s229)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound229')).
% 14.08/9.83 tff(17884,plain,
% 14.08/9.83 (succ(s228, s229)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17883, 17882])).
% 14.08/9.83 tff(17885,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17886,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17887,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17886, 17885])).
% 14.08/9.83 tff(17888,plain,
% 14.08/9.83 (trans(s228, s229)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17887, 17884, 52])).
% 14.08/9.83 tff(17889,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s228, s229)) | (~always3(s228)) | always3(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s228, s229)) | (~always3(s228)) | always3(s229))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17890,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s228, s229)) | (~always3(s228)) | always3(s229))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17891,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s228, s229)) | (~always3(s228)) | always3(s229)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17890, 17889])).
% 14.08/9.83 tff(17892,plain,
% 14.08/9.83 ((~always3(s228)) | always3(s229)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17891, 125, 17888])).
% 14.08/9.83 tff(17893,plain,
% 14.08/9.83 (~always3(s228)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17892, 17881])).
% 14.08/9.83 tff(17894,plain,
% 14.08/9.83 (succ(s227, s228) <=> succ(s227, s228)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17895,axiom,(succ(s227, s228)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound228')).
% 14.08/9.83 tff(17896,plain,
% 14.08/9.83 (succ(s227, s228)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17895, 17894])).
% 14.08/9.83 tff(17897,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17898,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17899,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 14.08/9.83 tff(17900,plain,
% 14.08/9.83 (trans(s227, s228)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17899, 17896, 52])).
% 14.08/9.83 tff(17901,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s227, s228)) | (~always3(s227)) | always3(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s227, s228)) | (~always3(s227)) | always3(s228))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17902,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s227, s228)) | (~always3(s227)) | always3(s228))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17903,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s227, s228)) | (~always3(s227)) | always3(s228)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17902, 17901])).
% 14.08/9.83 tff(17904,plain,
% 14.08/9.83 ((~always3(s227)) | always3(s228)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17903, 125, 17900])).
% 14.08/9.83 tff(17905,plain,
% 14.08/9.83 (~always3(s227)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17904, 17893])).
% 14.08/9.83 tff(17906,plain,
% 14.08/9.83 (succ(s226, s227) <=> succ(s226, s227)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17907,axiom,(succ(s226, s227)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound227')).
% 14.08/9.83 tff(17908,plain,
% 14.08/9.83 (succ(s226, s227)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17907, 17906])).
% 14.08/9.83 tff(17909,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17910,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17911,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 14.08/9.83 tff(17912,plain,
% 14.08/9.83 (trans(s226, s227)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17911, 17908, 52])).
% 14.08/9.83 tff(17913,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s226, s227)) | (~always3(s226)) | always3(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s226, s227)) | (~always3(s226)) | always3(s227))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17914,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s226, s227)) | (~always3(s226)) | always3(s227))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17915,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s226, s227)) | (~always3(s226)) | always3(s227)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17914, 17913])).
% 14.08/9.83 tff(17916,plain,
% 14.08/9.83 ((~always3(s226)) | always3(s227)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17915, 125, 17912])).
% 14.08/9.83 tff(17917,plain,
% 14.08/9.83 (~always3(s226)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17916, 17905])).
% 14.08/9.83 tff(17918,plain,
% 14.08/9.83 (succ(s225, s226) <=> succ(s225, s226)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17919,axiom,(succ(s225, s226)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound226')).
% 14.08/9.83 tff(17920,plain,
% 14.08/9.83 (succ(s225, s226)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17919, 17918])).
% 14.08/9.83 tff(17921,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17922,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17923,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17922, 17921])).
% 14.08/9.83 tff(17924,plain,
% 14.08/9.83 (trans(s225, s226)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17923, 17920, 52])).
% 14.08/9.83 tff(17925,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s225, s226)) | (~always3(s225)) | always3(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s225, s226)) | (~always3(s225)) | always3(s226))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17926,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s225, s226)) | (~always3(s225)) | always3(s226))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17927,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s225, s226)) | (~always3(s225)) | always3(s226)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17926, 17925])).
% 14.08/9.83 tff(17928,plain,
% 14.08/9.83 ((~always3(s225)) | always3(s226)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17927, 125, 17924])).
% 14.08/9.83 tff(17929,plain,
% 14.08/9.83 (~always3(s225)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17928, 17917])).
% 14.08/9.83 tff(17930,plain,
% 14.08/9.83 (succ(s224, s225) <=> succ(s224, s225)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17931,axiom,(succ(s224, s225)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound225')).
% 14.08/9.83 tff(17932,plain,
% 14.08/9.83 (succ(s224, s225)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17931, 17930])).
% 14.08/9.83 tff(17933,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17934,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17935,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17934, 17933])).
% 14.08/9.83 tff(17936,plain,
% 14.08/9.83 (trans(s224, s225)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17935, 17932, 52])).
% 14.08/9.83 tff(17937,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s224, s225)) | (~always3(s224)) | always3(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s224, s225)) | (~always3(s224)) | always3(s225))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17938,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s224, s225)) | (~always3(s224)) | always3(s225))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17939,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s224, s225)) | (~always3(s224)) | always3(s225)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 14.08/9.83 tff(17940,plain,
% 14.08/9.83 ((~always3(s224)) | always3(s225)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17939, 125, 17936])).
% 14.08/9.83 tff(17941,plain,
% 14.08/9.83 (~always3(s224)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17940, 17929])).
% 14.08/9.83 tff(17942,plain,
% 14.08/9.83 (succ(s223, s224) <=> succ(s223, s224)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17943,axiom,(succ(s223, s224)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound224')).
% 14.08/9.83 tff(17944,plain,
% 14.08/9.83 (succ(s223, s224)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17943, 17942])).
% 14.08/9.83 tff(17945,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17946,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17947,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 14.08/9.83 tff(17948,plain,
% 14.08/9.83 (trans(s223, s224)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17947, 17944, 52])).
% 14.08/9.83 tff(17949,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s223, s224)) | (~always3(s223)) | always3(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s223, s224)) | (~always3(s223)) | always3(s224))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17950,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s223, s224)) | (~always3(s223)) | always3(s224))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17951,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s223, s224)) | (~always3(s223)) | always3(s224)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17950, 17949])).
% 14.08/9.83 tff(17952,plain,
% 14.08/9.83 ((~always3(s223)) | always3(s224)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17951, 125, 17948])).
% 14.08/9.83 tff(17953,plain,
% 14.08/9.83 (~always3(s223)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17952, 17941])).
% 14.08/9.83 tff(17954,plain,
% 14.08/9.83 (succ(s222, s223) <=> succ(s222, s223)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17955,axiom,(succ(s222, s223)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound223')).
% 14.08/9.83 tff(17956,plain,
% 14.08/9.83 (succ(s222, s223)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 14.08/9.83 tff(17957,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17958,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17959,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17958, 17957])).
% 14.08/9.83 tff(17960,plain,
% 14.08/9.83 (trans(s222, s223)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17959, 17956, 52])).
% 14.08/9.83 tff(17961,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s222, s223)) | (~always3(s222)) | always3(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s222, s223)) | (~always3(s222)) | always3(s223))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17962,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s222, s223)) | (~always3(s222)) | always3(s223))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17963,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s222, s223)) | (~always3(s222)) | always3(s223)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17962, 17961])).
% 14.08/9.83 tff(17964,plain,
% 14.08/9.83 ((~always3(s222)) | always3(s223)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17963, 125, 17960])).
% 14.08/9.83 tff(17965,plain,
% 14.08/9.83 (~always3(s222)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17964, 17953])).
% 14.08/9.83 tff(17966,plain,
% 14.08/9.83 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s222) | (~node4(s222)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s222) | (~node4(s222)))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17967,plain,
% 14.08/9.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s222) | (~node4(s222)))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17968,plain,
% 14.08/9.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s222) | (~node4(s222))),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17967, 17966])).
% 14.08/9.83 tff(17969,plain,
% 14.08/9.83 (~node4(s222)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17968, 36, 17965])).
% 14.08/9.83 tff(17970,plain,
% 14.08/9.83 (succ(s221, s222) <=> succ(s221, s222)),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17971,axiom,(succ(s221, s222)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound222')).
% 14.08/9.83 tff(17972,plain,
% 14.08/9.83 (succ(s221, s222)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17971, 17970])).
% 14.08/9.83 tff(17973,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17974,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17975,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17974, 17973])).
% 14.08/9.83 tff(17976,plain,
% 14.08/9.83 (trans(s221, s222)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17975, 17972, 52])).
% 14.08/9.83 tff(17977,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s221, s222)) | (~always3(s221)) | always3(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s221, s222)) | (~always3(s221)) | always3(s222))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17978,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s221, s222)) | (~always3(s221)) | always3(s222))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17979,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s221, s222)) | (~always3(s221)) | always3(s222)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17978, 17977])).
% 14.08/9.83 tff(17980,plain,
% 14.08/9.83 ((~always3(s221)) | always3(s222)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17979, 125, 17976])).
% 14.08/9.83 tff(17981,plain,
% 14.08/9.83 (~always3(s221)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17980, 17965])).
% 14.08/9.83 tff(17982,plain,
% 14.08/9.83 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s221) | (~node4(s221)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s221) | (~node4(s221)))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17983,plain,
% 14.08/9.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s221) | (~node4(s221)))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17984,plain,
% 14.08/9.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s221) | (~node4(s221))),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17983, 17982])).
% 14.08/9.83 tff(17985,plain,
% 14.08/9.83 (~node4(s221)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17984, 36, 17981])).
% 14.08/9.83 tff(17986,plain,
% 14.08/9.83 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s221) | node4(s221) | (~until5(s221)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17987,plain,
% 14.08/9.83 ((node4(s221) | (~until5(s221)) | xuntil6(s221)) <=> (xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17988,plain,
% 14.08/9.83 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s221) | node4(s221) | (~until5(s221))))),
% 14.08/9.83 inference(monotonicity,[status(thm)],[17987])).
% 14.08/9.83 tff(17989,plain,
% 14.08/9.83 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 14.08/9.83 inference(transitivity,[status(thm)],[17988, 17986])).
% 14.08/9.83 tff(17990,plain,
% 14.08/9.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17991,plain,
% 14.08/9.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221))),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17990, 17989])).
% 14.08/9.83 tff(17992,plain,
% 14.08/9.83 (xuntil6(s221) | node4(s221)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17991, 294, 17207])).
% 14.08/9.83 tff(17993,plain,
% 14.08/9.83 (xuntil6(s221)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17992, 17985])).
% 14.08/9.83 tff(17994,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(17995,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(17996,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[17995, 17994])).
% 14.08/9.83 tff(17997,plain,
% 14.08/9.83 ((~xuntil6(s221)) | until5(s222)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17996, 17972, 312])).
% 14.08/9.83 tff(17998,plain,
% 14.08/9.83 (until5(s222)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[17997, 17993])).
% 14.08/9.83 tff(17999,plain,
% 14.08/9.83 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s222) | node4(s222) | (~until5(s222)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(18000,plain,
% 14.08/9.83 ((node4(s222) | (~until5(s222)) | xuntil6(s222)) <=> (xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(18001,plain,
% 14.08/9.83 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s222) | node4(s222) | (~until5(s222))))),
% 14.08/9.83 inference(monotonicity,[status(thm)],[18000])).
% 14.08/9.83 tff(18002,plain,
% 14.08/9.83 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 14.08/9.83 inference(transitivity,[status(thm)],[18001, 17999])).
% 14.08/9.83 tff(18003,plain,
% 14.08/9.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(18004,plain,
% 14.08/9.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222))),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[18003, 18002])).
% 14.08/9.83 tff(18005,plain,
% 14.08/9.83 (xuntil6(s222)),
% 14.08/9.83 inference(unit_resolution,[status(thm)],[18004, 294, 17998, 17969])).
% 14.08/9.83 tff(18006,plain,
% 14.08/9.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))),
% 14.08/9.83 inference(rewrite,[status(thm)],[])).
% 14.08/9.83 tff(18007,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))),
% 14.08/9.83 inference(quant_inst,[status(thm)],[])).
% 14.08/9.83 tff(18008,plain,
% 14.08/9.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223)),
% 14.08/9.83 inference(modus_ponens,[status(thm)],[18007, 18006])).
% 14.08/9.83 tff(18009,plain,
% 14.08/9.83 ((~xuntil6(s222)) | until5(s223)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18008, 17956, 312])).
% 14.08/9.84 tff(18010,plain,
% 14.08/9.84 (until5(s223)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18009, 18005])).
% 14.08/9.84 tff(18011,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s223) | (~node4(s223)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s223) | (~node4(s223)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18012,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s223) | (~node4(s223)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18013,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s223) | (~node4(s223))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18012, 18011])).
% 14.08/9.84 tff(18014,plain,
% 14.08/9.84 (~node4(s223)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18013, 36, 17953])).
% 14.08/9.84 tff(18015,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s223) | node4(s223) | (~until5(s223)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18016,plain,
% 14.08/9.84 ((node4(s223) | (~until5(s223)) | xuntil6(s223)) <=> (xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18017,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s223) | node4(s223) | (~until5(s223))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18016])).
% 14.08/9.84 tff(18018,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18017, 18015])).
% 14.08/9.84 tff(18019,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18020,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18019, 18018])).
% 14.08/9.84 tff(18021,plain,
% 14.08/9.84 (xuntil6(s223) | (~until5(s223))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18020, 294, 18014])).
% 14.08/9.84 tff(18022,plain,
% 14.08/9.84 (xuntil6(s223)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18021, 18010])).
% 14.08/9.84 tff(18023,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18024,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18025,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18024, 18023])).
% 14.08/9.84 tff(18026,plain,
% 14.08/9.84 ((~xuntil6(s223)) | until5(s224)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18025, 17944, 312])).
% 14.08/9.84 tff(18027,plain,
% 14.08/9.84 (until5(s224)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18026, 18022])).
% 14.08/9.84 tff(18028,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s224) | (~node4(s224)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s224) | (~node4(s224)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18029,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s224) | (~node4(s224)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18030,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s224) | (~node4(s224))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18029, 18028])).
% 14.08/9.84 tff(18031,plain,
% 14.08/9.84 (~node4(s224)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18030, 36, 17941])).
% 14.08/9.84 tff(18032,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s224) | node4(s224) | (~until5(s224)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18033,plain,
% 14.08/9.84 ((node4(s224) | (~until5(s224)) | xuntil6(s224)) <=> (xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18034,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s224) | node4(s224) | (~until5(s224))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18033])).
% 14.08/9.84 tff(18035,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18034, 18032])).
% 14.08/9.84 tff(18036,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18037,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18036, 18035])).
% 14.08/9.84 tff(18038,plain,
% 14.08/9.84 (xuntil6(s224) | (~until5(s224))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18037, 294, 18031])).
% 14.08/9.84 tff(18039,plain,
% 14.08/9.84 (xuntil6(s224)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18038, 18027])).
% 14.08/9.84 tff(18040,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18041,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18042,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18041, 18040])).
% 14.08/9.84 tff(18043,plain,
% 14.08/9.84 ((~xuntil6(s224)) | until5(s225)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18042, 17932, 312])).
% 14.08/9.84 tff(18044,plain,
% 14.08/9.84 (until5(s225)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18043, 18039])).
% 14.08/9.84 tff(18045,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s225) | (~node4(s225)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s225) | (~node4(s225)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18046,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s225) | (~node4(s225)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18047,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s225) | (~node4(s225))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18046, 18045])).
% 14.08/9.84 tff(18048,plain,
% 14.08/9.84 (~node4(s225)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18047, 36, 17929])).
% 14.08/9.84 tff(18049,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s225) | node4(s225) | (~until5(s225)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18050,plain,
% 14.08/9.84 ((node4(s225) | (~until5(s225)) | xuntil6(s225)) <=> (xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18051,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s225) | node4(s225) | (~until5(s225))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18050])).
% 14.08/9.84 tff(18052,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18051, 18049])).
% 14.08/9.84 tff(18053,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18054,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18053, 18052])).
% 14.08/9.84 tff(18055,plain,
% 14.08/9.84 (xuntil6(s225) | (~until5(s225))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18054, 294, 18048])).
% 14.08/9.84 tff(18056,plain,
% 14.08/9.84 (xuntil6(s225)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18055, 18044])).
% 14.08/9.84 tff(18057,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18058,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18059,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18058, 18057])).
% 14.08/9.84 tff(18060,plain,
% 14.08/9.84 ((~xuntil6(s225)) | until5(s226)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18059, 17920, 312])).
% 14.08/9.84 tff(18061,plain,
% 14.08/9.84 (until5(s226)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18060, 18056])).
% 14.08/9.84 tff(18062,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s226) | (~node4(s226)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s226) | (~node4(s226)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18063,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s226) | (~node4(s226)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18064,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s226) | (~node4(s226))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18063, 18062])).
% 14.08/9.84 tff(18065,plain,
% 14.08/9.84 (~node4(s226)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18064, 36, 17917])).
% 14.08/9.84 tff(18066,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s226) | node4(s226) | (~until5(s226)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18067,plain,
% 14.08/9.84 ((node4(s226) | (~until5(s226)) | xuntil6(s226)) <=> (xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18068,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s226) | node4(s226) | (~until5(s226))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18067])).
% 14.08/9.84 tff(18069,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18068, 18066])).
% 14.08/9.84 tff(18070,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18071,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18070, 18069])).
% 14.08/9.84 tff(18072,plain,
% 14.08/9.84 (xuntil6(s226) | (~until5(s226))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18071, 294, 18065])).
% 14.08/9.84 tff(18073,plain,
% 14.08/9.84 (xuntil6(s226)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18072, 18061])).
% 14.08/9.84 tff(18074,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18075,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18076,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18075, 18074])).
% 14.08/9.84 tff(18077,plain,
% 14.08/9.84 ((~xuntil6(s226)) | until5(s227)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18076, 17908, 312])).
% 14.08/9.84 tff(18078,plain,
% 14.08/9.84 (until5(s227)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18077, 18073])).
% 14.08/9.84 tff(18079,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s227) | (~node4(s227)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s227) | (~node4(s227)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18080,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s227) | (~node4(s227)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18081,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s227) | (~node4(s227))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18080, 18079])).
% 14.08/9.84 tff(18082,plain,
% 14.08/9.84 (~node4(s227)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18081, 36, 17905])).
% 14.08/9.84 tff(18083,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s227) | node4(s227) | (~until5(s227)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18084,plain,
% 14.08/9.84 ((node4(s227) | (~until5(s227)) | xuntil6(s227)) <=> (xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18085,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s227) | node4(s227) | (~until5(s227))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18084])).
% 14.08/9.84 tff(18086,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18085, 18083])).
% 14.08/9.84 tff(18087,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18088,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18087, 18086])).
% 14.08/9.84 tff(18089,plain,
% 14.08/9.84 (xuntil6(s227) | (~until5(s227))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18088, 294, 18082])).
% 14.08/9.84 tff(18090,plain,
% 14.08/9.84 (xuntil6(s227)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18089, 18078])).
% 14.08/9.84 tff(18091,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18092,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18093,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18092, 18091])).
% 14.08/9.84 tff(18094,plain,
% 14.08/9.84 ((~xuntil6(s227)) | until5(s228)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18093, 17896, 312])).
% 14.08/9.84 tff(18095,plain,
% 14.08/9.84 (until5(s228)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18094, 18090])).
% 14.08/9.84 tff(18096,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s228) | (~node4(s228)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s228) | (~node4(s228)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18097,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s228) | (~node4(s228)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18098,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s228) | (~node4(s228))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18097, 18096])).
% 14.08/9.84 tff(18099,plain,
% 14.08/9.84 (~node4(s228)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18098, 36, 17893])).
% 14.08/9.84 tff(18100,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s228) | node4(s228) | (~until5(s228)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18101,plain,
% 14.08/9.84 ((node4(s228) | (~until5(s228)) | xuntil6(s228)) <=> (xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18102,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s228) | node4(s228) | (~until5(s228))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18101])).
% 14.08/9.84 tff(18103,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18102, 18100])).
% 14.08/9.84 tff(18104,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18105,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18104, 18103])).
% 14.08/9.84 tff(18106,plain,
% 14.08/9.84 (xuntil6(s228) | (~until5(s228))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18105, 294, 18099])).
% 14.08/9.84 tff(18107,plain,
% 14.08/9.84 (xuntil6(s228)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18106, 18095])).
% 14.08/9.84 tff(18108,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18109,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18110,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18109, 18108])).
% 14.08/9.84 tff(18111,plain,
% 14.08/9.84 ((~xuntil6(s228)) | until5(s229)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18110, 17884, 312])).
% 14.08/9.84 tff(18112,plain,
% 14.08/9.84 (until5(s229)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18111, 18107])).
% 14.08/9.84 tff(18113,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s229) | (~node4(s229)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s229) | (~node4(s229)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18114,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s229) | (~node4(s229)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18115,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s229) | (~node4(s229))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18114, 18113])).
% 14.08/9.84 tff(18116,plain,
% 14.08/9.84 (~node4(s229)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18115, 36, 17881])).
% 14.08/9.84 tff(18117,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s229) | node4(s229) | (~until5(s229)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18118,plain,
% 14.08/9.84 ((node4(s229) | (~until5(s229)) | xuntil6(s229)) <=> (xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18119,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s229) | node4(s229) | (~until5(s229))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18118])).
% 14.08/9.84 tff(18120,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18119, 18117])).
% 14.08/9.84 tff(18121,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18122,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 14.08/9.84 tff(18123,plain,
% 14.08/9.84 (xuntil6(s229) | (~until5(s229))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18122, 294, 18116])).
% 14.08/9.84 tff(18124,plain,
% 14.08/9.84 (xuntil6(s229)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18123, 18112])).
% 14.08/9.84 tff(18125,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18126,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18127,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18126, 18125])).
% 14.08/9.84 tff(18128,plain,
% 14.08/9.84 ((~xuntil6(s229)) | until5(s230)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18127, 17872, 312])).
% 14.08/9.84 tff(18129,plain,
% 14.08/9.84 (until5(s230)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18128, 18124])).
% 14.08/9.84 tff(18130,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s230) | (~node4(s230)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s230) | (~node4(s230)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18131,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s230) | (~node4(s230)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18132,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s230) | (~node4(s230))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18131, 18130])).
% 14.08/9.84 tff(18133,plain,
% 14.08/9.84 (~node4(s230)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18132, 36, 17869])).
% 14.08/9.84 tff(18134,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s230) | node4(s230) | (~until5(s230)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18135,plain,
% 14.08/9.84 ((node4(s230) | (~until5(s230)) | xuntil6(s230)) <=> (xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18136,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s230) | node4(s230) | (~until5(s230))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18135])).
% 14.08/9.84 tff(18137,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18136, 18134])).
% 14.08/9.84 tff(18138,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18139,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 14.08/9.84 tff(18140,plain,
% 14.08/9.84 (xuntil6(s230) | (~until5(s230))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18139, 294, 18133])).
% 14.08/9.84 tff(18141,plain,
% 14.08/9.84 (xuntil6(s230)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18140, 18129])).
% 14.08/9.84 tff(18142,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18143,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18144,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18143, 18142])).
% 14.08/9.84 tff(18145,plain,
% 14.08/9.84 ((~xuntil6(s230)) | until5(s231)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18144, 17860, 312])).
% 14.08/9.84 tff(18146,plain,
% 14.08/9.84 (until5(s231)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18145, 18141])).
% 14.08/9.84 tff(18147,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s231) | (~node4(s231)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s231) | (~node4(s231)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18148,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s231) | (~node4(s231)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18149,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s231) | (~node4(s231))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18148, 18147])).
% 14.08/9.84 tff(18150,plain,
% 14.08/9.84 (~node4(s231)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18149, 36, 17857])).
% 14.08/9.84 tff(18151,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s231) | node4(s231) | (~until5(s231)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18152,plain,
% 14.08/9.84 ((node4(s231) | (~until5(s231)) | xuntil6(s231)) <=> (xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18153,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s231) | node4(s231) | (~until5(s231))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18152])).
% 14.08/9.84 tff(18154,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18153, 18151])).
% 14.08/9.84 tff(18155,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18156,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18155, 18154])).
% 14.08/9.84 tff(18157,plain,
% 14.08/9.84 (xuntil6(s231) | (~until5(s231))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18156, 294, 18150])).
% 14.08/9.84 tff(18158,plain,
% 14.08/9.84 (xuntil6(s231)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18157, 18146])).
% 14.08/9.84 tff(18159,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18160,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18161,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18160, 18159])).
% 14.08/9.84 tff(18162,plain,
% 14.08/9.84 ((~xuntil6(s231)) | until5(s232)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18161, 17848, 312])).
% 14.08/9.84 tff(18163,plain,
% 14.08/9.84 (until5(s232)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18162, 18158])).
% 14.08/9.84 tff(18164,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s232) | (~node4(s232)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s232) | (~node4(s232)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18165,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s232) | (~node4(s232)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18166,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s232) | (~node4(s232))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18165, 18164])).
% 14.08/9.84 tff(18167,plain,
% 14.08/9.84 (~node4(s232)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18166, 36, 17845])).
% 14.08/9.84 tff(18168,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s232) | node4(s232) | (~until5(s232)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18169,plain,
% 14.08/9.84 ((node4(s232) | (~until5(s232)) | xuntil6(s232)) <=> (xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18170,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s232) | node4(s232) | (~until5(s232))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18169])).
% 14.08/9.84 tff(18171,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18170, 18168])).
% 14.08/9.84 tff(18172,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18173,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18172, 18171])).
% 14.08/9.84 tff(18174,plain,
% 14.08/9.84 (xuntil6(s232) | (~until5(s232))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18173, 294, 18167])).
% 14.08/9.84 tff(18175,plain,
% 14.08/9.84 (xuntil6(s232)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18174, 18163])).
% 14.08/9.84 tff(18176,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18177,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18178,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18177, 18176])).
% 14.08/9.84 tff(18179,plain,
% 14.08/9.84 ((~xuntil6(s232)) | until5(s233)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18178, 17836, 312])).
% 14.08/9.84 tff(18180,plain,
% 14.08/9.84 (until5(s233)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18179, 18175])).
% 14.08/9.84 tff(18181,plain,
% 14.08/9.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s233) | (~node4(s233)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s233) | (~node4(s233)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18182,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s233) | (~node4(s233)))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18183,plain,
% 14.08/9.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s233) | (~node4(s233))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18182, 18181])).
% 14.08/9.84 tff(18184,plain,
% 14.08/9.84 (~node4(s233)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18183, 36, 17833])).
% 14.08/9.84 tff(18185,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s233) | node4(s233) | (~until5(s233)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18186,plain,
% 14.08/9.84 ((node4(s233) | (~until5(s233)) | xuntil6(s233)) <=> (xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18187,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s233) | node4(s233) | (~until5(s233))))),
% 14.08/9.84 inference(monotonicity,[status(thm)],[18186])).
% 14.08/9.84 tff(18188,plain,
% 14.08/9.84 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 14.08/9.84 inference(transitivity,[status(thm)],[18187, 18185])).
% 14.08/9.84 tff(18189,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18190,plain,
% 14.08/9.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233))),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18189, 18188])).
% 14.08/9.84 tff(18191,plain,
% 14.08/9.84 (xuntil6(s233) | (~until5(s233))),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18190, 294, 18184])).
% 14.08/9.84 tff(18192,plain,
% 14.08/9.84 (xuntil6(s233)),
% 14.08/9.84 inference(unit_resolution,[status(thm)],[18191, 18180])).
% 14.08/9.84 tff(18193,plain,
% 14.08/9.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))),
% 14.08/9.84 inference(rewrite,[status(thm)],[])).
% 14.08/9.84 tff(18194,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))),
% 14.08/9.84 inference(quant_inst,[status(thm)],[])).
% 14.08/9.84 tff(18195,plain,
% 14.08/9.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234)),
% 14.08/9.84 inference(modus_ponens,[status(thm)],[18194, 18193])).
% 14.08/9.85 tff(18196,plain,
% 14.08/9.85 ((~xuntil6(s233)) | until5(s234)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18195, 17824, 312])).
% 14.08/9.85 tff(18197,plain,
% 14.08/9.85 (until5(s234)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18196, 18192])).
% 14.08/9.85 tff(18198,plain,
% 14.08/9.85 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s234) | (~node4(s234)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s234) | (~node4(s234)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18199,plain,
% 14.08/9.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s234) | (~node4(s234)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18200,plain,
% 14.08/9.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s234) | (~node4(s234))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18199, 18198])).
% 14.08/9.85 tff(18201,plain,
% 14.08/9.85 (~node4(s234)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18200, 36, 17821])).
% 14.08/9.85 tff(18202,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s234) | node4(s234) | (~until5(s234)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18203,plain,
% 14.08/9.85 ((node4(s234) | (~until5(s234)) | xuntil6(s234)) <=> (xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18204,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s234) | node4(s234) | (~until5(s234))))),
% 14.08/9.85 inference(monotonicity,[status(thm)],[18203])).
% 14.08/9.85 tff(18205,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 14.08/9.85 inference(transitivity,[status(thm)],[18204, 18202])).
% 14.08/9.85 tff(18206,plain,
% 14.08/9.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18207,plain,
% 14.08/9.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18206, 18205])).
% 14.08/9.85 tff(18208,plain,
% 14.08/9.85 (xuntil6(s234) | (~until5(s234))),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18207, 294, 18201])).
% 14.08/9.85 tff(18209,plain,
% 14.08/9.85 (xuntil6(s234)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18208, 18197])).
% 14.08/9.85 tff(18210,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18211,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18212,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18211, 18210])).
% 14.08/9.85 tff(18213,plain,
% 14.08/9.85 ((~xuntil6(s234)) | until5(s235)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18212, 17812, 312])).
% 14.08/9.85 tff(18214,plain,
% 14.08/9.85 (until5(s235)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18213, 18209])).
% 14.08/9.85 tff(18215,plain,
% 14.08/9.85 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s235) | (~node4(s235)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s235) | (~node4(s235)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18216,plain,
% 14.08/9.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s235) | (~node4(s235)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18217,plain,
% 14.08/9.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s235) | (~node4(s235))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18216, 18215])).
% 14.08/9.85 tff(18218,plain,
% 14.08/9.85 (~node4(s235)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18217, 36, 17809])).
% 14.08/9.85 tff(18219,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s235) | node4(s235) | (~until5(s235)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s235) | node4(s235) | (~until5(s235)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18220,plain,
% 14.08/9.85 ((node4(s235) | (~until5(s235)) | xuntil6(s235)) <=> (xuntil6(s235) | node4(s235) | (~until5(s235)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18221,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s235) | (~until5(s235)) | xuntil6(s235))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s235) | node4(s235) | (~until5(s235))))),
% 14.08/9.85 inference(monotonicity,[status(thm)],[18220])).
% 14.08/9.85 tff(18222,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s235) | (~until5(s235)) | xuntil6(s235))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s235) | node4(s235) | (~until5(s235)))),
% 14.08/9.85 inference(transitivity,[status(thm)],[18221, 18219])).
% 14.08/9.85 tff(18223,plain,
% 14.08/9.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s235) | (~until5(s235)) | xuntil6(s235))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18224,plain,
% 14.08/9.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s235) | node4(s235) | (~until5(s235))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18223, 18222])).
% 14.08/9.85 tff(18225,plain,
% 14.08/9.85 (xuntil6(s235) | (~until5(s235))),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18224, 294, 18218])).
% 14.08/9.85 tff(18226,plain,
% 14.08/9.85 (xuntil6(s235)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18225, 18214])).
% 14.08/9.85 tff(18227,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18228,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18229,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18228, 18227])).
% 14.08/9.85 tff(18230,plain,
% 14.08/9.85 ((~xuntil6(s235)) | until5(s236)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18229, 17800, 312])).
% 14.08/9.85 tff(18231,plain,
% 14.08/9.85 (until5(s236)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18230, 18226])).
% 14.08/9.85 tff(18232,assumption,(node4(s236)), introduced(assumption)).
% 14.08/9.85 tff(18233,plain,
% 14.08/9.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s236) | (~node4(s236)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s236) | (~node4(s236)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18234,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s236) | (~node4(s236)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18235,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s236) | (~node4(s236))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18234, 18233])).
% 14.08/9.85 tff(18236,plain,
% 14.08/9.85 (m_main_v_request(s236)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18235, 21, 18232])).
% 14.08/9.85 tff(18237,plain,
% 14.08/9.85 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s236) | (~node4(s236)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s236) | (~node4(s236)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18238,plain,
% 14.08/9.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s236) | (~node4(s236)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18239,plain,
% 14.08/9.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s236) | (~node4(s236))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18238, 18237])).
% 14.08/9.85 tff(18240,plain,
% 14.08/9.85 (always3(s236)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18239, 36, 18232])).
% 14.08/9.85 tff(18241,plain,
% 14.08/9.85 (always3(s237)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17796, 18240])).
% 14.08/9.85 tff(18242,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s237)) | (~m_main_v_state(s237, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s237)) | (~m_main_v_state(s237, c_busy)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18243,plain,
% 14.08/9.85 (((~m_main_v_state(s237, c_busy)) | (~always3(s237))) <=> ((~always3(s237)) | (~m_main_v_state(s237, c_busy)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18244,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s237, c_busy)) | (~always3(s237)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s237)) | (~m_main_v_state(s237, c_busy))))),
% 14.08/9.85 inference(monotonicity,[status(thm)],[18243])).
% 14.08/9.85 tff(18245,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s237, c_busy)) | (~always3(s237)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s237)) | (~m_main_v_state(s237, c_busy)))),
% 14.08/9.85 inference(transitivity,[status(thm)],[18244, 18242])).
% 14.08/9.85 tff(18246,plain,
% 14.08/9.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s237, c_busy)) | (~always3(s237)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18247,plain,
% 14.08/9.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s237)) | (~m_main_v_state(s237, c_busy))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18246, 18245])).
% 14.08/9.85 tff(18248,plain,
% 14.08/9.85 (~m_main_v_state(s237, c_busy)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18247, 85, 18241])).
% 14.08/9.85 tff(18249,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s236, s237)) | node2(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s236, s237)) | node2(s236, s237))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18250,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s236, s237)) | node2(s236, s237))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18251,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s236, s237)) | node2(s236, s237)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 14.08/9.85 tff(18252,plain,
% 14.08/9.85 (node2(s236, s237)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18251, 7, 17792])).
% 14.08/9.85 tff(18253,plain,
% 14.08/9.85 (((~![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(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18254,plain,
% 14.08/9.85 ((~![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(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18255,plain,
% 14.08/9.85 ((~![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(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18254, 18253])).
% 14.08/9.85 tff(18256,plain,
% 14.08/9.85 ((~m_main_v_state(s236, c_ready)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236))),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18255, 73, 18252])).
% 14.08/9.85 tff(18257,plain,
% 14.08/9.85 (~m_main_v_state(s236, c_ready)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18256, 18248, 18236])).
% 14.08/9.85 tff(18258,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s236)) | (~m_main_v_state(s236, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s236)) | (~m_main_v_state(s236, c_busy)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18259,plain,
% 14.08/9.85 (((~m_main_v_state(s236, c_busy)) | (~always3(s236))) <=> ((~always3(s236)) | (~m_main_v_state(s236, c_busy)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18260,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s236, c_busy)) | (~always3(s236)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s236)) | (~m_main_v_state(s236, c_busy))))),
% 14.08/9.85 inference(monotonicity,[status(thm)],[18259])).
% 14.08/9.85 tff(18261,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s236, c_busy)) | (~always3(s236)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s236)) | (~m_main_v_state(s236, c_busy)))),
% 14.08/9.85 inference(transitivity,[status(thm)],[18260, 18258])).
% 14.08/9.85 tff(18262,plain,
% 14.08/9.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s236, c_busy)) | (~always3(s236)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18263,plain,
% 14.08/9.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s236)) | (~m_main_v_state(s236, c_busy))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18262, 18261])).
% 14.08/9.85 tff(18264,plain,
% 14.08/9.85 (~m_main_v_state(s236, c_busy)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18263, 85, 18240])).
% 14.08/9.85 tff(18265,plain,
% 14.08/9.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18266,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18267,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18266, 18265])).
% 14.08/9.85 tff(18268,plain,
% 14.08/9.85 ($false),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18267, 102, 18264, 18257])).
% 14.08/9.85 tff(18269,plain,(~node4(s236)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.85 tff(18270,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s236) | node4(s236) | (~until5(s236)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s236) | node4(s236) | (~until5(s236)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18271,plain,
% 14.08/9.85 ((node4(s236) | (~until5(s236)) | xuntil6(s236)) <=> (xuntil6(s236) | node4(s236) | (~until5(s236)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18272,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s236) | (~until5(s236)) | xuntil6(s236))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s236) | node4(s236) | (~until5(s236))))),
% 14.08/9.85 inference(monotonicity,[status(thm)],[18271])).
% 14.08/9.85 tff(18273,plain,
% 14.08/9.85 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s236) | (~until5(s236)) | xuntil6(s236))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s236) | node4(s236) | (~until5(s236)))),
% 14.08/9.85 inference(transitivity,[status(thm)],[18272, 18270])).
% 14.08/9.85 tff(18274,plain,
% 14.08/9.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s236) | (~until5(s236)) | xuntil6(s236))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18275,plain,
% 14.08/9.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s236) | node4(s236) | (~until5(s236))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18274, 18273])).
% 14.08/9.85 tff(18276,plain,
% 14.08/9.85 (xuntil6(s236) | (~until5(s236))),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18275, 294, 18269])).
% 14.08/9.85 tff(18277,plain,
% 14.08/9.85 (xuntil6(s236)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18276, 18231])).
% 14.08/9.85 tff(18278,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18279,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18280,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18279, 18278])).
% 14.08/9.85 tff(18281,plain,
% 14.08/9.85 ((~xuntil6(s236)) | until5(s237)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18280, 17788, 312])).
% 14.08/9.85 tff(18282,plain,
% 14.08/9.85 ($false),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18281, 18277, 17785])).
% 14.08/9.85 tff(18283,plain,(always3(s253) | (~until5(s221)) | xuntil6(s253)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.85 tff(18284,plain,
% 14.08/9.85 (always3(s253)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18283, 17206, 17207])).
% 14.08/9.85 tff(18285,plain,
% 14.08/9.85 (succ(s253, s254) <=> succ(s253, s254)),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18286,axiom,(succ(s253, s254)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound254')).
% 14.08/9.85 tff(18287,plain,
% 14.08/9.85 (succ(s253, s254)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18286, 18285])).
% 14.08/9.85 tff(18288,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18289,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18290,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18289, 18288])).
% 14.08/9.85 tff(18291,plain,
% 14.08/9.85 (trans(s253, s254)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18290, 18287, 52])).
% 14.08/9.85 tff(18292,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s253, s254)) | (~always3(s253)) | always3(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s253, s254)) | (~always3(s253)) | always3(s254))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18293,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s253, s254)) | (~always3(s253)) | always3(s254))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18294,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s253, s254)) | (~always3(s253)) | always3(s254)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18293, 18292])).
% 14.08/9.85 tff(18295,plain,
% 14.08/9.85 ((~always3(s253)) | always3(s254)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18294, 125, 18291])).
% 14.08/9.85 tff(18296,plain,
% 14.08/9.85 (always3(s254)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18295, 18284])).
% 14.08/9.85 tff(18297,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s254)) | (~m_main_v_state(s254, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s254)) | (~m_main_v_state(s254, c_busy)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18298,plain,
% 14.08/9.85 (((~m_main_v_state(s254, c_busy)) | (~always3(s254))) <=> ((~always3(s254)) | (~m_main_v_state(s254, c_busy)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18299,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s254, c_busy)) | (~always3(s254)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s254)) | (~m_main_v_state(s254, c_busy))))),
% 14.08/9.85 inference(monotonicity,[status(thm)],[18298])).
% 14.08/9.85 tff(18300,plain,
% 14.08/9.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s254, c_busy)) | (~always3(s254)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s254)) | (~m_main_v_state(s254, c_busy)))),
% 14.08/9.85 inference(transitivity,[status(thm)],[18299, 18297])).
% 14.08/9.85 tff(18301,plain,
% 14.08/9.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s254, c_busy)) | (~always3(s254)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18302,plain,
% 14.08/9.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s254)) | (~m_main_v_state(s254, c_busy))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18301, 18300])).
% 14.08/9.85 tff(18303,plain,
% 14.08/9.85 (~m_main_v_state(s254, c_busy)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18302, 85, 18296])).
% 14.08/9.85 tff(18304,assumption,(until5(s253)), introduced(assumption)).
% 14.08/9.85 tff(18305,plain,
% 14.08/9.85 (xuntil6(s253) | node4(s253)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17246, 294, 18304])).
% 14.08/9.85 tff(18306,plain,
% 14.08/9.85 (node4(s253)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18305, 17206])).
% 14.08/9.85 tff(18307,plain,
% 14.08/9.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s253) | (~node4(s253)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s253) | (~node4(s253)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18308,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s253) | (~node4(s253)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18309,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s253) | (~node4(s253))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18308, 18307])).
% 14.08/9.85 tff(18310,plain,
% 14.08/9.85 (m_main_v_request(s253)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18309, 21, 18306])).
% 14.08/9.85 tff(18311,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s253, s254)) | node2(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s253, s254)) | node2(s253, s254))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18312,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s253, s254)) | node2(s253, s254))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18313,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s253, s254)) | node2(s253, s254)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 14.08/9.85 tff(18314,plain,
% 14.08/9.85 (node2(s253, s254)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18313, 7, 18291])).
% 14.08/9.85 tff(18315,plain,
% 14.08/9.85 (((~![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(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18316,plain,
% 14.08/9.85 ((~![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(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18317,plain,
% 14.08/9.85 ((~![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(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18316, 18315])).
% 14.08/9.85 tff(18318,plain,
% 14.08/9.85 ((~m_main_v_state(s253, c_ready)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253))),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18317, 73, 18314])).
% 14.08/9.85 tff(18319,plain,
% 14.08/9.85 (~m_main_v_state(s253, c_ready)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18318, 18310, 18303])).
% 14.08/9.85 tff(18320,plain,
% 14.08/9.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18321,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18322,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18321, 18320])).
% 14.08/9.85 tff(18323,plain,
% 14.08/9.85 (m_main_v_state(s253, c_busy)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18322, 102, 18319])).
% 14.08/9.85 tff(18324,plain,
% 14.08/9.85 ($false),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17269, 85, 18284, 18323])).
% 14.08/9.85 tff(18325,plain,(xuntil6(s253) | (~until5(s253)) | (~until5(s221))), inference(lemma,lemma(discharge,[]))).
% 14.08/9.85 tff(18326,plain,
% 14.08/9.85 (~until5(s253)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18325, 17207, 17206])).
% 14.08/9.85 tff(18327,plain,
% 14.08/9.85 (~xuntil6(s252)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17252, 18326])).
% 14.08/9.85 tff(18328,plain,
% 14.08/9.85 (~until5(s252)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17298, 18327])).
% 14.08/9.85 tff(18329,plain,
% 14.08/9.85 (~xuntil6(s251)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17303, 18328])).
% 14.08/9.85 tff(18330,assumption,(node4(s251)), introduced(assumption)).
% 14.08/9.85 tff(18331,plain,
% 14.08/9.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s251) | (~node4(s251)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s251) | (~node4(s251)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18332,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s251) | (~node4(s251)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18333,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s251) | (~node4(s251))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18332, 18331])).
% 14.08/9.85 tff(18334,plain,
% 14.08/9.85 (m_main_v_request(s251)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18333, 21, 18330])).
% 14.08/9.85 tff(18335,plain,
% 14.08/9.85 (always3(s251)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17235, 36, 18330])).
% 14.08/9.85 tff(18336,plain,
% 14.08/9.85 (always3(s252)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17231, 18335])).
% 14.08/9.85 tff(18337,plain,
% 14.08/9.85 (~m_main_v_state(s252, c_busy)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17285, 85, 18336])).
% 14.08/9.85 tff(18338,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s251, s252)) | node2(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s251, s252)) | node2(s251, s252))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18339,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s251, s252)) | node2(s251, s252))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18340,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s251, s252)) | node2(s251, s252)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18339, 18338])).
% 14.08/9.85 tff(18341,plain,
% 14.08/9.85 (node2(s251, s252)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18340, 7, 17227])).
% 14.08/9.85 tff(18342,plain,
% 14.08/9.85 (((~![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(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18343,plain,
% 14.08/9.85 ((~![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(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18344,plain,
% 14.08/9.85 ((~![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(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18343, 18342])).
% 14.08/9.85 tff(18345,plain,
% 14.08/9.85 ((~m_main_v_state(s251, c_ready)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251))),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18344, 73, 18341])).
% 14.08/9.85 tff(18346,plain,
% 14.08/9.85 (~m_main_v_state(s251, c_ready)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18345, 18337, 18334])).
% 14.08/9.85 tff(18347,plain,
% 14.08/9.85 (~m_main_v_state(s251, c_busy)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17343, 85, 18335])).
% 14.08/9.85 tff(18348,plain,
% 14.08/9.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18349,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18350,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18349, 18348])).
% 14.08/9.85 tff(18351,plain,
% 14.08/9.85 ($false),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18350, 102, 18347, 18346])).
% 14.08/9.85 tff(18352,plain,(~node4(s251)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.85 tff(18353,plain,
% 14.08/9.85 (xuntil6(s251) | (~until5(s251))),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17310, 294, 18352])).
% 14.08/9.85 tff(18354,plain,
% 14.08/9.85 (~until5(s251)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18353, 18329])).
% 14.08/9.85 tff(18355,plain,
% 14.08/9.85 (~xuntil6(s250)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17318, 18354])).
% 14.08/9.85 tff(18356,plain,
% 14.08/9.85 (~until5(s250)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17372, 18355])).
% 14.08/9.85 tff(18357,plain,
% 14.08/9.85 (~xuntil6(s249)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17380, 18356])).
% 14.08/9.85 tff(18358,assumption,(node4(s249)), introduced(assumption)).
% 14.08/9.85 tff(18359,plain,
% 14.08/9.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s249) | (~node4(s249)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s249) | (~node4(s249)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18360,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s249) | (~node4(s249)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18361,plain,
% 14.08/9.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s249) | (~node4(s249))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18360, 18359])).
% 14.08/9.85 tff(18362,plain,
% 14.08/9.85 (m_main_v_request(s249)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18361, 21, 18358])).
% 14.08/9.85 tff(18363,plain,
% 14.08/9.85 (always3(s249)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17394, 36, 18358])).
% 14.08/9.85 tff(18364,plain,
% 14.08/9.85 (always3(s250)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17390, 18363])).
% 14.08/9.85 tff(18365,plain,
% 14.08/9.85 (~m_main_v_state(s250, c_busy)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[17359, 85, 18364])).
% 14.08/9.85 tff(18366,plain,
% 14.08/9.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s249, s250)) | node2(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s249, s250)) | node2(s249, s250))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18367,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s249, s250)) | node2(s249, s250))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18368,plain,
% 14.08/9.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s249, s250)) | node2(s249, s250)),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18367, 18366])).
% 14.08/9.85 tff(18369,plain,
% 14.08/9.85 (node2(s249, s250)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18368, 7, 17386])).
% 14.08/9.85 tff(18370,plain,
% 14.08/9.85 (((~![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(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249)))),
% 14.08/9.85 inference(rewrite,[status(thm)],[])).
% 14.08/9.85 tff(18371,plain,
% 14.08/9.85 ((~![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(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249)))),
% 14.08/9.85 inference(quant_inst,[status(thm)],[])).
% 14.08/9.85 tff(18372,plain,
% 14.08/9.85 ((~![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(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249))),
% 14.08/9.85 inference(modus_ponens,[status(thm)],[18371, 18370])).
% 14.08/9.85 tff(18373,plain,
% 14.08/9.85 ((~m_main_v_state(s249, c_ready)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249))),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18372, 73, 18369])).
% 14.08/9.85 tff(18374,plain,
% 14.08/9.85 (~m_main_v_state(s249, c_ready)),
% 14.08/9.85 inference(unit_resolution,[status(thm)],[18373, 18365, 18362])).
% 14.08/9.85 tff(18375,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s249)) | (~m_main_v_state(s249, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s249)) | (~m_main_v_state(s249, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18376,plain,
% 14.08/9.86 (((~m_main_v_state(s249, c_busy)) | (~always3(s249))) <=> ((~always3(s249)) | (~m_main_v_state(s249, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18377,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s249, c_busy)) | (~always3(s249)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s249)) | (~m_main_v_state(s249, c_busy))))),
% 14.08/9.86 inference(monotonicity,[status(thm)],[18376])).
% 14.08/9.86 tff(18378,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s249, c_busy)) | (~always3(s249)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s249)) | (~m_main_v_state(s249, c_busy)))),
% 14.08/9.86 inference(transitivity,[status(thm)],[18377, 18375])).
% 14.08/9.86 tff(18379,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s249, c_busy)) | (~always3(s249)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18380,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s249)) | (~m_main_v_state(s249, c_busy))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 14.08/9.86 tff(18381,plain,
% 14.08/9.86 (~m_main_v_state(s249, c_busy)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18380, 85, 18363])).
% 14.08/9.86 tff(18382,plain,
% 14.08/9.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18383,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18384,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready)),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18383, 18382])).
% 14.08/9.86 tff(18385,plain,
% 14.08/9.86 ($false),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18384, 102, 18381, 18374])).
% 14.08/9.86 tff(18386,plain,(~node4(s249)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.86 tff(18387,plain,
% 14.08/9.86 (xuntil6(s249) | (~until5(s249))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17401, 294, 18386])).
% 14.08/9.86 tff(18388,plain,
% 14.08/9.86 (~until5(s249)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18387, 18357])).
% 14.08/9.86 tff(18389,plain,
% 14.08/9.86 (~xuntil6(s248)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17410, 18388])).
% 14.08/9.86 tff(18390,assumption,(~always3(s248)), introduced(assumption)).
% 14.08/9.86 tff(18391,plain,
% 14.08/9.86 (~always3(s247)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17448, 18390])).
% 14.08/9.86 tff(18392,plain,
% 14.08/9.86 (~always3(s246)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17477, 18391])).
% 14.08/9.86 tff(18393,plain,
% 14.08/9.86 (~node4(s246)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17481, 36, 18392])).
% 14.08/9.86 tff(18394,plain,
% 14.08/9.86 (~node4(s248)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17423, 36, 18390])).
% 14.08/9.86 tff(18395,assumption,(~xuntil6(s248)), introduced(assumption)).
% 14.08/9.86 tff(18396,plain,
% 14.08/9.86 (node4(s248) | (~until5(s248))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17430, 294, 18395])).
% 14.08/9.86 tff(18397,plain,
% 14.08/9.86 (~until5(s248)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18396, 18394])).
% 14.08/9.86 tff(18398,plain,
% 14.08/9.86 (~xuntil6(s247)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17439, 18397])).
% 14.08/9.86 tff(18399,assumption,(node4(s247)), introduced(assumption)).
% 14.08/9.86 tff(18400,plain,
% 14.08/9.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s247) | (~node4(s247)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s247) | (~node4(s247)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18401,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s247) | (~node4(s247)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18402,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s247) | (~node4(s247))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18401, 18400])).
% 14.08/9.86 tff(18403,plain,
% 14.08/9.86 (m_main_v_request(s247)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18402, 21, 18399])).
% 14.08/9.86 tff(18404,plain,
% 14.08/9.86 (always3(s247)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17452, 36, 18399])).
% 14.08/9.86 tff(18405,plain,
% 14.08/9.86 (always3(s248)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17448, 18404])).
% 14.08/9.86 tff(18406,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s248)) | (~m_main_v_state(s248, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s248)) | (~m_main_v_state(s248, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18407,plain,
% 14.08/9.86 (((~m_main_v_state(s248, c_busy)) | (~always3(s248))) <=> ((~always3(s248)) | (~m_main_v_state(s248, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18408,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s248, c_busy)) | (~always3(s248)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s248)) | (~m_main_v_state(s248, c_busy))))),
% 14.08/9.86 inference(monotonicity,[status(thm)],[18407])).
% 14.08/9.86 tff(18409,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s248, c_busy)) | (~always3(s248)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s248)) | (~m_main_v_state(s248, c_busy)))),
% 14.08/9.86 inference(transitivity,[status(thm)],[18408, 18406])).
% 14.08/9.86 tff(18410,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s248, c_busy)) | (~always3(s248)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18411,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s248)) | (~m_main_v_state(s248, c_busy))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18410, 18409])).
% 14.08/9.86 tff(18412,plain,
% 14.08/9.86 (~m_main_v_state(s248, c_busy)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18411, 85, 18405])).
% 14.08/9.86 tff(18413,plain,
% 14.08/9.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s247, s248)) | node2(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s247, s248)) | node2(s247, s248))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18414,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s247, s248)) | node2(s247, s248))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18415,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s247, s248)) | node2(s247, s248)),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18414, 18413])).
% 14.08/9.86 tff(18416,plain,
% 14.08/9.86 (node2(s247, s248)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18415, 7, 17444])).
% 14.08/9.86 tff(18417,plain,
% 14.08/9.86 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18418,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18419,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18418, 18417])).
% 14.08/9.86 tff(18420,plain,
% 14.08/9.86 ((~m_main_v_state(s247, c_ready)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18419, 73, 18416])).
% 14.08/9.86 tff(18421,plain,
% 14.08/9.86 (~m_main_v_state(s247, c_ready)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18420, 18412, 18403])).
% 14.08/9.86 tff(18422,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s247)) | (~m_main_v_state(s247, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s247)) | (~m_main_v_state(s247, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18423,plain,
% 14.08/9.86 (((~m_main_v_state(s247, c_busy)) | (~always3(s247))) <=> ((~always3(s247)) | (~m_main_v_state(s247, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18424,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s247, c_busy)) | (~always3(s247)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s247)) | (~m_main_v_state(s247, c_busy))))),
% 14.08/9.86 inference(monotonicity,[status(thm)],[18423])).
% 14.08/9.86 tff(18425,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s247, c_busy)) | (~always3(s247)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s247)) | (~m_main_v_state(s247, c_busy)))),
% 14.08/9.86 inference(transitivity,[status(thm)],[18424, 18422])).
% 14.08/9.86 tff(18426,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s247, c_busy)) | (~always3(s247)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18427,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s247)) | (~m_main_v_state(s247, c_busy))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18426, 18425])).
% 14.08/9.86 tff(18428,plain,
% 14.08/9.86 (~m_main_v_state(s247, c_busy)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18427, 85, 18404])).
% 14.08/9.86 tff(18429,plain,
% 14.08/9.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18430,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18431,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready)),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 14.08/9.86 tff(18432,plain,
% 14.08/9.86 ($false),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18431, 102, 18428, 18421])).
% 14.08/9.86 tff(18433,plain,(~node4(s247)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.86 tff(18434,plain,
% 14.08/9.86 (xuntil6(s247) | (~until5(s247))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17459, 294, 18433])).
% 14.08/9.86 tff(18435,plain,
% 14.08/9.86 (~until5(s247)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18434, 18398])).
% 14.08/9.86 tff(18436,plain,
% 14.08/9.86 (~xuntil6(s246)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17468, 18435])).
% 14.08/9.86 tff(18437,plain,
% 14.08/9.86 (~until5(s246)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17488, 294, 18436, 18393])).
% 14.08/9.86 tff(18438,plain,
% 14.08/9.86 (~xuntil6(s245)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17497, 18437])).
% 14.08/9.86 tff(18439,plain,
% 14.08/9.86 (~always3(s245)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17506, 18392])).
% 14.08/9.86 tff(18440,plain,
% 14.08/9.86 (~node4(s245)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17510, 36, 18439])).
% 14.08/9.86 tff(18441,plain,
% 14.08/9.86 (xuntil6(s245) | (~until5(s245))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17517, 294, 18440])).
% 14.08/9.86 tff(18442,plain,
% 14.08/9.86 (~until5(s245)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18441, 18438])).
% 14.08/9.86 tff(18443,plain,
% 14.08/9.86 (~xuntil6(s244)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17526, 18442])).
% 14.08/9.86 tff(18444,assumption,(node4(s244)), introduced(assumption)).
% 14.08/9.86 tff(18445,plain,
% 14.08/9.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s244) | (~node4(s244)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s244) | (~node4(s244)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18446,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s244) | (~node4(s244)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18447,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s244) | (~node4(s244))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18446, 18445])).
% 14.08/9.86 tff(18448,plain,
% 14.08/9.86 (m_main_v_request(s244)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18447, 21, 18444])).
% 14.08/9.86 tff(18449,plain,
% 14.08/9.86 (always3(s244)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17539, 36, 18444])).
% 14.08/9.86 tff(18450,plain,
% 14.08/9.86 (always3(s245)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17535, 18449])).
% 14.08/9.86 tff(18451,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s245)) | (~m_main_v_state(s245, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s245)) | (~m_main_v_state(s245, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18452,plain,
% 14.08/9.86 (((~m_main_v_state(s245, c_busy)) | (~always3(s245))) <=> ((~always3(s245)) | (~m_main_v_state(s245, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18453,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s245, c_busy)) | (~always3(s245)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s245)) | (~m_main_v_state(s245, c_busy))))),
% 14.08/9.86 inference(monotonicity,[status(thm)],[18452])).
% 14.08/9.86 tff(18454,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s245, c_busy)) | (~always3(s245)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s245)) | (~m_main_v_state(s245, c_busy)))),
% 14.08/9.86 inference(transitivity,[status(thm)],[18453, 18451])).
% 14.08/9.86 tff(18455,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s245, c_busy)) | (~always3(s245)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18456,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s245)) | (~m_main_v_state(s245, c_busy))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18455, 18454])).
% 14.08/9.86 tff(18457,plain,
% 14.08/9.86 (~m_main_v_state(s245, c_busy)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18456, 85, 18450])).
% 14.08/9.86 tff(18458,plain,
% 14.08/9.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s244, s245)) | node2(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s244, s245)) | node2(s244, s245))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18459,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s244, s245)) | node2(s244, s245))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18460,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s244, s245)) | node2(s244, s245)),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18459, 18458])).
% 14.08/9.86 tff(18461,plain,
% 14.08/9.86 (node2(s244, s245)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18460, 7, 17531])).
% 14.08/9.86 tff(18462,plain,
% 14.08/9.86 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18463,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18464,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18463, 18462])).
% 14.08/9.86 tff(18465,plain,
% 14.08/9.86 ((~m_main_v_state(s244, c_ready)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18464, 73, 18461])).
% 14.08/9.86 tff(18466,plain,
% 14.08/9.86 (~m_main_v_state(s244, c_ready)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18465, 18457, 18448])).
% 14.08/9.86 tff(18467,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s244)) | (~m_main_v_state(s244, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s244)) | (~m_main_v_state(s244, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18468,plain,
% 14.08/9.86 (((~m_main_v_state(s244, c_busy)) | (~always3(s244))) <=> ((~always3(s244)) | (~m_main_v_state(s244, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18469,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s244, c_busy)) | (~always3(s244)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s244)) | (~m_main_v_state(s244, c_busy))))),
% 14.08/9.86 inference(monotonicity,[status(thm)],[18468])).
% 14.08/9.86 tff(18470,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s244, c_busy)) | (~always3(s244)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s244)) | (~m_main_v_state(s244, c_busy)))),
% 14.08/9.86 inference(transitivity,[status(thm)],[18469, 18467])).
% 14.08/9.86 tff(18471,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s244, c_busy)) | (~always3(s244)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18472,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s244)) | (~m_main_v_state(s244, c_busy))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18471, 18470])).
% 14.08/9.86 tff(18473,plain,
% 14.08/9.86 (~m_main_v_state(s244, c_busy)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18472, 85, 18449])).
% 14.08/9.86 tff(18474,plain,
% 14.08/9.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18475,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18476,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready)),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 14.08/9.86 tff(18477,plain,
% 14.08/9.86 ($false),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18476, 102, 18473, 18466])).
% 14.08/9.86 tff(18478,plain,(~node4(s244)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.86 tff(18479,plain,
% 14.08/9.86 (xuntil6(s244) | (~until5(s244))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17546, 294, 18478])).
% 14.08/9.86 tff(18480,plain,
% 14.08/9.86 (~until5(s244)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18479, 18443])).
% 14.08/9.86 tff(18481,plain,
% 14.08/9.86 (~xuntil6(s243)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17555, 18480])).
% 14.08/9.86 tff(18482,plain,
% 14.08/9.86 (~always3(s244)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17535, 18439])).
% 14.08/9.86 tff(18483,plain,
% 14.08/9.86 (~always3(s243)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17564, 18482])).
% 14.08/9.86 tff(18484,plain,
% 14.08/9.86 (~node4(s243)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17568, 36, 18483])).
% 14.08/9.86 tff(18485,plain,
% 14.08/9.86 (xuntil6(s243) | (~until5(s243))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17575, 294, 18484])).
% 14.08/9.86 tff(18486,plain,
% 14.08/9.86 (~until5(s243)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18485, 18481])).
% 14.08/9.86 tff(18487,plain,
% 14.08/9.86 (~xuntil6(s242)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17584, 18486])).
% 14.08/9.86 tff(18488,assumption,(node4(s242)), introduced(assumption)).
% 14.08/9.86 tff(18489,plain,
% 14.08/9.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s242) | (~node4(s242)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s242) | (~node4(s242)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18490,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s242) | (~node4(s242)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18491,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s242) | (~node4(s242))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 14.08/9.86 tff(18492,plain,
% 14.08/9.86 (m_main_v_request(s242)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18491, 21, 18488])).
% 14.08/9.86 tff(18493,plain,
% 14.08/9.86 (always3(s242)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17597, 36, 18488])).
% 14.08/9.86 tff(18494,plain,
% 14.08/9.86 (always3(s243)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17593, 18493])).
% 14.08/9.86 tff(18495,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s243)) | (~m_main_v_state(s243, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s243)) | (~m_main_v_state(s243, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18496,plain,
% 14.08/9.86 (((~m_main_v_state(s243, c_busy)) | (~always3(s243))) <=> ((~always3(s243)) | (~m_main_v_state(s243, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18497,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s243, c_busy)) | (~always3(s243)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s243)) | (~m_main_v_state(s243, c_busy))))),
% 14.08/9.86 inference(monotonicity,[status(thm)],[18496])).
% 14.08/9.86 tff(18498,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s243, c_busy)) | (~always3(s243)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s243)) | (~m_main_v_state(s243, c_busy)))),
% 14.08/9.86 inference(transitivity,[status(thm)],[18497, 18495])).
% 14.08/9.86 tff(18499,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s243, c_busy)) | (~always3(s243)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18500,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s243)) | (~m_main_v_state(s243, c_busy))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18499, 18498])).
% 14.08/9.86 tff(18501,plain,
% 14.08/9.86 (~m_main_v_state(s243, c_busy)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18500, 85, 18494])).
% 14.08/9.86 tff(18502,plain,
% 14.08/9.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s242, s243)) | node2(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s242, s243)) | node2(s242, s243))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18503,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s242, s243)) | node2(s242, s243))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18504,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s242, s243)) | node2(s242, s243)),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18503, 18502])).
% 14.08/9.86 tff(18505,plain,
% 14.08/9.86 (node2(s242, s243)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18504, 7, 17589])).
% 14.08/9.86 tff(18506,plain,
% 14.08/9.86 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18507,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18508,plain,
% 14.08/9.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18507, 18506])).
% 14.08/9.86 tff(18509,plain,
% 14.08/9.86 ((~m_main_v_state(s242, c_ready)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18508, 73, 18505])).
% 14.08/9.86 tff(18510,plain,
% 14.08/9.86 (~m_main_v_state(s242, c_ready)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18509, 18501, 18492])).
% 14.08/9.86 tff(18511,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s242)) | (~m_main_v_state(s242, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s242)) | (~m_main_v_state(s242, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18512,plain,
% 14.08/9.86 (((~m_main_v_state(s242, c_busy)) | (~always3(s242))) <=> ((~always3(s242)) | (~m_main_v_state(s242, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18513,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s242, c_busy)) | (~always3(s242)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s242)) | (~m_main_v_state(s242, c_busy))))),
% 14.08/9.86 inference(monotonicity,[status(thm)],[18512])).
% 14.08/9.86 tff(18514,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s242, c_busy)) | (~always3(s242)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s242)) | (~m_main_v_state(s242, c_busy)))),
% 14.08/9.86 inference(transitivity,[status(thm)],[18513, 18511])).
% 14.08/9.86 tff(18515,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s242, c_busy)) | (~always3(s242)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18516,plain,
% 14.08/9.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s242)) | (~m_main_v_state(s242, c_busy))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18515, 18514])).
% 14.08/9.86 tff(18517,plain,
% 14.08/9.86 (~m_main_v_state(s242, c_busy)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18516, 85, 18493])).
% 14.08/9.86 tff(18518,plain,
% 14.08/9.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18519,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18520,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready)),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18519, 18518])).
% 14.08/9.86 tff(18521,plain,
% 14.08/9.86 ($false),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18520, 102, 18517, 18510])).
% 14.08/9.86 tff(18522,plain,(~node4(s242)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.86 tff(18523,plain,
% 14.08/9.86 (xuntil6(s242) | (~until5(s242))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17604, 294, 18522])).
% 14.08/9.86 tff(18524,plain,
% 14.08/9.86 (~until5(s242)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18523, 18487])).
% 14.08/9.86 tff(18525,plain,
% 14.08/9.86 (~always3(s242)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17593, 18483])).
% 14.08/9.86 tff(18526,plain,
% 14.08/9.86 (~always3(s241)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17622, 18525])).
% 14.08/9.86 tff(18527,plain,
% 14.08/9.86 (~always3(s240)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17651, 18526])).
% 14.08/9.86 tff(18528,plain,
% 14.08/9.86 (~always3(s239)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17689, 18527])).
% 14.08/9.86 tff(18529,plain,
% 14.08/9.86 (~always3(s238)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17743, 18528])).
% 14.08/9.86 tff(18530,plain,
% 14.08/9.86 (~always3(s237)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17772, 18529])).
% 14.08/9.86 tff(18531,plain,
% 14.08/9.86 (~node4(s237)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17776, 36, 18530])).
% 14.08/9.86 tff(18532,plain,
% 14.08/9.86 (~always3(s236)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17796, 18530])).
% 14.08/9.86 tff(18533,plain,
% 14.08/9.86 (~always3(s235)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17808, 18532])).
% 14.08/9.86 tff(18534,plain,
% 14.08/9.86 (~always3(s234)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17820, 18533])).
% 14.08/9.86 tff(18535,plain,
% 14.08/9.86 (~node4(s234)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18200, 36, 18534])).
% 14.08/9.86 tff(18536,plain,
% 14.08/9.86 (~always3(s233)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17832, 18534])).
% 14.08/9.86 tff(18537,assumption,(~always3(s233)), introduced(assumption)).
% 14.08/9.86 tff(18538,plain,
% 14.08/9.86 (~always3(s232)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17844, 18537])).
% 14.08/9.86 tff(18539,plain,
% 14.08/9.86 (~node4(s232)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18166, 36, 18538])).
% 14.08/9.86 tff(18540,plain,
% 14.08/9.86 (~node4(s233)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18183, 36, 18537])).
% 14.08/9.86 tff(18541,assumption,(~xuntil6(s233)), introduced(assumption)).
% 14.08/9.86 tff(18542,plain,
% 14.08/9.86 (node4(s233) | (~until5(s233))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18190, 294, 18541])).
% 14.08/9.86 tff(18543,plain,
% 14.08/9.86 (~until5(s233)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18542, 18540])).
% 14.08/9.86 tff(18544,plain,
% 14.08/9.86 (~xuntil6(s232)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18179, 18543])).
% 14.08/9.86 tff(18545,plain,
% 14.08/9.86 (~until5(s232)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18173, 294, 18544, 18539])).
% 14.08/9.86 tff(18546,plain,
% 14.08/9.86 (~xuntil6(s231)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18162, 18545])).
% 14.08/9.86 tff(18547,plain,
% 14.08/9.86 (~always3(s231)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17856, 18538])).
% 14.08/9.86 tff(18548,plain,
% 14.08/9.86 (~node4(s231)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18149, 36, 18547])).
% 14.08/9.86 tff(18549,plain,
% 14.08/9.86 (xuntil6(s231) | (~until5(s231))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18156, 294, 18548])).
% 14.08/9.86 tff(18550,plain,
% 14.08/9.86 (~until5(s231)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18549, 18546])).
% 14.08/9.86 tff(18551,plain,
% 14.08/9.86 (~xuntil6(s230)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18145, 18550])).
% 14.08/9.86 tff(18552,plain,
% 14.08/9.86 (~always3(s230)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17868, 18547])).
% 14.08/9.86 tff(18553,plain,
% 14.08/9.86 (~node4(s230)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18132, 36, 18552])).
% 14.08/9.86 tff(18554,plain,
% 14.08/9.86 (xuntil6(s230) | (~until5(s230))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18139, 294, 18553])).
% 14.08/9.86 tff(18555,plain,
% 14.08/9.86 (~until5(s230)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18554, 18551])).
% 14.08/9.86 tff(18556,plain,
% 14.08/9.86 (~xuntil6(s229)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18128, 18555])).
% 14.08/9.86 tff(18557,plain,
% 14.08/9.86 (~always3(s229)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17880, 18552])).
% 14.08/9.86 tff(18558,plain,
% 14.08/9.86 (~node4(s229)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18115, 36, 18557])).
% 14.08/9.86 tff(18559,plain,
% 14.08/9.86 (xuntil6(s229) | (~until5(s229))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18122, 294, 18558])).
% 14.08/9.86 tff(18560,plain,
% 14.08/9.86 (~until5(s229)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18559, 18556])).
% 14.08/9.86 tff(18561,plain,
% 14.08/9.86 (~xuntil6(s228)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18111, 18560])).
% 14.08/9.86 tff(18562,plain,
% 14.08/9.86 (~always3(s228)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17892, 18557])).
% 14.08/9.86 tff(18563,plain,
% 14.08/9.86 (~node4(s228)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18098, 36, 18562])).
% 14.08/9.86 tff(18564,plain,
% 14.08/9.86 (xuntil6(s228) | (~until5(s228))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18105, 294, 18563])).
% 14.08/9.86 tff(18565,plain,
% 14.08/9.86 (~until5(s228)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18564, 18561])).
% 14.08/9.86 tff(18566,plain,
% 14.08/9.86 (~xuntil6(s227)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18094, 18565])).
% 14.08/9.86 tff(18567,plain,
% 14.08/9.86 (~always3(s227)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17904, 18562])).
% 14.08/9.86 tff(18568,plain,
% 14.08/9.86 (~always3(s226)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17916, 18567])).
% 14.08/9.86 tff(18569,plain,
% 14.08/9.86 (~always3(s225)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17928, 18568])).
% 14.08/9.86 tff(18570,plain,
% 14.08/9.86 (~always3(s224)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17940, 18569])).
% 14.08/9.86 tff(18571,plain,
% 14.08/9.86 (~always3(s223)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17952, 18570])).
% 14.08/9.86 tff(18572,plain,
% 14.08/9.86 (~always3(s222)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17964, 18571])).
% 14.08/9.86 tff(18573,plain,
% 14.08/9.86 (~node4(s222)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17968, 36, 18572])).
% 14.08/9.86 tff(18574,plain,
% 14.08/9.86 (~always3(s221)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17980, 18572])).
% 14.08/9.86 tff(18575,plain,
% 14.08/9.86 (~node4(s221)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17984, 36, 18574])).
% 14.08/9.86 tff(18576,plain,
% 14.08/9.86 (~always3(s220)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15896, 18574])).
% 14.08/9.86 tff(18577,plain,
% 14.08/9.86 (~until5(s184)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15877, 14864, 14714])).
% 14.08/9.86 tff(18578,plain,
% 14.08/9.86 (~xuntil6(s183)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[14712, 18577])).
% 14.08/9.86 tff(18579,plain,
% 14.08/9.86 (always3(s183)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[14471, 18578])).
% 14.08/9.86 tff(18580,plain,
% 14.08/9.86 (always3(s184)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[14483, 18579])).
% 14.08/9.86 tff(18581,plain,
% 14.08/9.86 (always3(s185)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15568, 18580])).
% 14.08/9.86 tff(18582,plain,
% 14.08/9.86 (always3(s186)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15552, 18581])).
% 14.08/9.86 tff(18583,plain,
% 14.08/9.86 (always3(s187)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15540, 18582])).
% 14.08/9.86 tff(18584,plain,
% 14.08/9.86 (always3(s188)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15528, 18583])).
% 14.08/9.86 tff(18585,plain,
% 14.08/9.86 (always3(s189)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15516, 18584])).
% 14.08/9.86 tff(18586,plain,
% 14.08/9.86 (always3(s190)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15504, 18585])).
% 14.08/9.86 tff(18587,plain,
% 14.08/9.86 (always3(s191)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15492, 18586])).
% 14.08/9.86 tff(18588,plain,
% 14.08/9.86 (always3(s192)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15480, 18587])).
% 14.08/9.86 tff(18589,plain,
% 14.08/9.86 (always3(s193)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15468, 18588])).
% 14.08/9.86 tff(18590,plain,
% 14.08/9.86 (always3(s194)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15456, 18589])).
% 14.08/9.86 tff(18591,plain,
% 14.08/9.86 (always3(s195)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[14783, 18590])).
% 14.08/9.86 tff(18592,plain,
% 14.08/9.86 (always3(s196)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15443, 18591])).
% 14.08/9.86 tff(18593,plain,
% 14.08/9.86 (always3(s197)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[14734, 18592])).
% 14.08/9.86 tff(18594,plain,
% 14.08/9.86 (always3(s198)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15430, 18593])).
% 14.08/9.86 tff(18595,plain,
% 14.08/9.86 (always3(s199)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15418, 18594])).
% 14.08/9.86 tff(18596,plain,
% 14.08/9.86 ($false),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[15406, 15395, 18595])).
% 14.08/9.86 tff(18597,plain,(always3(s220) | xuntil6(s220)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.86 tff(18598,plain,
% 14.08/9.86 (xuntil6(s220)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18597, 18576])).
% 14.08/9.86 tff(18599,plain,
% 14.08/9.86 (until5(s221)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17204, 18598])).
% 14.08/9.86 tff(18600,plain,
% 14.08/9.86 (xuntil6(s221) | node4(s221)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17991, 294, 18599])).
% 14.08/9.86 tff(18601,plain,
% 14.08/9.86 (xuntil6(s221)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18600, 18575])).
% 14.08/9.86 tff(18602,plain,
% 14.08/9.86 (until5(s222)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17997, 18601])).
% 14.08/9.86 tff(18603,plain,
% 14.08/9.86 (xuntil6(s222)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18004, 294, 18602, 18573])).
% 14.08/9.86 tff(18604,plain,
% 14.08/9.86 (until5(s223)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18009, 18603])).
% 14.08/9.86 tff(18605,plain,
% 14.08/9.86 (~node4(s223)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18013, 36, 18571])).
% 14.08/9.86 tff(18606,plain,
% 14.08/9.86 (xuntil6(s223) | (~until5(s223))),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18020, 294, 18605])).
% 14.08/9.86 tff(18607,plain,
% 14.08/9.86 (xuntil6(s223)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18606, 18604])).
% 14.08/9.86 tff(18608,plain,
% 14.08/9.86 (until5(s224)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18026, 18607])).
% 14.08/9.86 tff(18609,assumption,(node4(s224)), introduced(assumption)).
% 14.08/9.86 tff(18610,plain,
% 14.08/9.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s224) | (~node4(s224)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s224) | (~node4(s224)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.86 tff(18611,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s224) | (~node4(s224)))),
% 14.08/9.86 inference(quant_inst,[status(thm)],[])).
% 14.08/9.86 tff(18612,plain,
% 14.08/9.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s224) | (~node4(s224))),
% 14.08/9.86 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 14.08/9.86 tff(18613,plain,
% 14.08/9.86 (m_main_v_request(s224)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18612, 21, 18609])).
% 14.08/9.86 tff(18614,plain,
% 14.08/9.86 (always3(s224)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[18030, 36, 18609])).
% 14.08/9.86 tff(18615,plain,
% 14.08/9.86 (always3(s225)),
% 14.08/9.86 inference(unit_resolution,[status(thm)],[17940, 18614])).
% 14.08/9.86 tff(18616,plain,
% 14.08/9.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s225)) | (~m_main_v_state(s225, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s225)) | (~m_main_v_state(s225, c_busy)))),
% 14.08/9.86 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18617,plain,
% 14.08/9.87 (((~m_main_v_state(s225, c_busy)) | (~always3(s225))) <=> ((~always3(s225)) | (~m_main_v_state(s225, c_busy)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18618,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s225, c_busy)) | (~always3(s225)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s225)) | (~m_main_v_state(s225, c_busy))))),
% 14.08/9.87 inference(monotonicity,[status(thm)],[18617])).
% 14.08/9.87 tff(18619,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s225, c_busy)) | (~always3(s225)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s225)) | (~m_main_v_state(s225, c_busy)))),
% 14.08/9.87 inference(transitivity,[status(thm)],[18618, 18616])).
% 14.08/9.87 tff(18620,plain,
% 14.08/9.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s225, c_busy)) | (~always3(s225)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18621,plain,
% 14.08/9.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s225)) | (~m_main_v_state(s225, c_busy))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18620, 18619])).
% 14.08/9.87 tff(18622,plain,
% 14.08/9.87 (~m_main_v_state(s225, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18621, 85, 18615])).
% 14.08/9.87 tff(18623,plain,
% 14.08/9.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s224, s225)) | node2(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s224, s225)) | node2(s224, s225))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18624,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s224, s225)) | node2(s224, s225))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18625,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s224, s225)) | node2(s224, s225)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18624, 18623])).
% 14.08/9.87 tff(18626,plain,
% 14.08/9.87 (node2(s224, s225)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18625, 7, 17936])).
% 14.08/9.87 tff(18627,plain,
% 14.08/9.87 (((~![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(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18628,plain,
% 14.08/9.87 ((~![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(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18629,plain,
% 14.08/9.87 ((~![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(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 14.08/9.87 tff(18630,plain,
% 14.08/9.87 ((~m_main_v_state(s224, c_ready)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18629, 73, 18626])).
% 14.08/9.87 tff(18631,plain,
% 14.08/9.87 (~m_main_v_state(s224, c_ready)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18630, 18622, 18613])).
% 14.08/9.87 tff(18632,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s224)) | (~m_main_v_state(s224, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s224)) | (~m_main_v_state(s224, c_busy)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18633,plain,
% 14.08/9.87 (((~m_main_v_state(s224, c_busy)) | (~always3(s224))) <=> ((~always3(s224)) | (~m_main_v_state(s224, c_busy)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18634,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s224, c_busy)) | (~always3(s224)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s224)) | (~m_main_v_state(s224, c_busy))))),
% 14.08/9.87 inference(monotonicity,[status(thm)],[18633])).
% 14.08/9.87 tff(18635,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s224, c_busy)) | (~always3(s224)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s224)) | (~m_main_v_state(s224, c_busy)))),
% 14.08/9.87 inference(transitivity,[status(thm)],[18634, 18632])).
% 14.08/9.87 tff(18636,plain,
% 14.08/9.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s224, c_busy)) | (~always3(s224)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18637,plain,
% 14.08/9.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s224)) | (~m_main_v_state(s224, c_busy))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18636, 18635])).
% 14.08/9.87 tff(18638,plain,
% 14.08/9.87 (~m_main_v_state(s224, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18637, 85, 18614])).
% 14.08/9.87 tff(18639,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18640,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18641,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18640, 18639])).
% 14.08/9.87 tff(18642,plain,
% 14.08/9.87 ($false),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18641, 102, 18638, 18631])).
% 14.08/9.87 tff(18643,plain,(~node4(s224)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.87 tff(18644,plain,
% 14.08/9.87 (xuntil6(s224) | (~until5(s224))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18037, 294, 18643])).
% 14.08/9.87 tff(18645,plain,
% 14.08/9.87 (xuntil6(s224)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18644, 18608])).
% 14.08/9.87 tff(18646,plain,
% 14.08/9.87 (until5(s225)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18043, 18645])).
% 14.08/9.87 tff(18647,plain,
% 14.08/9.87 (~node4(s225)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18047, 36, 18569])).
% 14.08/9.87 tff(18648,plain,
% 14.08/9.87 (xuntil6(s225) | (~until5(s225))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18054, 294, 18647])).
% 14.08/9.87 tff(18649,plain,
% 14.08/9.87 (xuntil6(s225)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18648, 18646])).
% 14.08/9.87 tff(18650,plain,
% 14.08/9.87 (until5(s226)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18060, 18649])).
% 14.08/9.87 tff(18651,plain,
% 14.08/9.87 (~node4(s226)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18064, 36, 18568])).
% 14.08/9.87 tff(18652,plain,
% 14.08/9.87 (xuntil6(s226) | (~until5(s226))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18071, 294, 18651])).
% 14.08/9.87 tff(18653,plain,
% 14.08/9.87 (xuntil6(s226)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18652, 18650])).
% 14.08/9.87 tff(18654,plain,
% 14.08/9.87 (until5(s227)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18077, 18653])).
% 14.08/9.87 tff(18655,plain,
% 14.08/9.87 (~node4(s227)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18081, 36, 18567])).
% 14.08/9.87 tff(18656,plain,
% 14.08/9.87 (xuntil6(s227) | (~until5(s227))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18088, 294, 18655])).
% 14.08/9.87 tff(18657,plain,
% 14.08/9.87 ($false),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18656, 18654, 18566])).
% 14.08/9.87 tff(18658,plain,(always3(s233) | xuntil6(s233)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.87 tff(18659,plain,
% 14.08/9.87 (xuntil6(s233)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18658, 18536])).
% 14.08/9.87 tff(18660,plain,
% 14.08/9.87 (until5(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18196, 18659])).
% 14.08/9.87 tff(18661,plain,
% 14.08/9.87 (xuntil6(s234) | node4(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18207, 294, 18660])).
% 14.08/9.87 tff(18662,plain,
% 14.08/9.87 (xuntil6(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18661, 18535])).
% 14.08/9.87 tff(18663,plain,
% 14.08/9.87 (until5(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18213, 18662])).
% 14.08/9.87 tff(18664,assumption,(node4(s235)), introduced(assumption)).
% 14.08/9.87 tff(18665,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s235) | (~node4(s235)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s235) | (~node4(s235)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18666,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s235) | (~node4(s235)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18667,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s235) | (~node4(s235))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18666, 18665])).
% 14.08/9.87 tff(18668,plain,
% 14.08/9.87 (m_main_v_request(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18667, 21, 18664])).
% 14.08/9.87 tff(18669,plain,
% 14.08/9.87 (always3(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18217, 36, 18664])).
% 14.08/9.87 tff(18670,plain,
% 14.08/9.87 (always3(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17808, 18669])).
% 14.08/9.87 tff(18671,plain,
% 14.08/9.87 (~m_main_v_state(s236, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18263, 85, 18670])).
% 14.08/9.87 tff(18672,plain,
% 14.08/9.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s235, s236)) | node2(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s235, s236)) | node2(s235, s236))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18673,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s235, s236)) | node2(s235, s236))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18674,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s235, s236)) | node2(s235, s236)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18673, 18672])).
% 14.08/9.87 tff(18675,plain,
% 14.08/9.87 (node2(s235, s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18674, 7, 17804])).
% 14.08/9.87 tff(18676,plain,
% 14.08/9.87 (((~![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(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18677,plain,
% 14.08/9.87 ((~![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(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18678,plain,
% 14.08/9.87 ((~![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(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18677, 18676])).
% 14.08/9.87 tff(18679,plain,
% 14.08/9.87 ((~m_main_v_state(s235, c_ready)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18678, 73, 18675])).
% 14.08/9.87 tff(18680,plain,
% 14.08/9.87 (~m_main_v_state(s235, c_ready)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18679, 18671, 18668])).
% 14.08/9.87 tff(18681,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s235)) | (~m_main_v_state(s235, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s235)) | (~m_main_v_state(s235, c_busy)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18682,plain,
% 14.08/9.87 (((~m_main_v_state(s235, c_busy)) | (~always3(s235))) <=> ((~always3(s235)) | (~m_main_v_state(s235, c_busy)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18683,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s235, c_busy)) | (~always3(s235)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s235)) | (~m_main_v_state(s235, c_busy))))),
% 14.08/9.87 inference(monotonicity,[status(thm)],[18682])).
% 14.08/9.87 tff(18684,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s235, c_busy)) | (~always3(s235)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s235)) | (~m_main_v_state(s235, c_busy)))),
% 14.08/9.87 inference(transitivity,[status(thm)],[18683, 18681])).
% 14.08/9.87 tff(18685,plain,
% 14.08/9.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s235, c_busy)) | (~always3(s235)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18686,plain,
% 14.08/9.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s235)) | (~m_main_v_state(s235, c_busy))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18685, 18684])).
% 14.08/9.87 tff(18687,plain,
% 14.08/9.87 (~m_main_v_state(s235, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18686, 85, 18669])).
% 14.08/9.87 tff(18688,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18689,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18690,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18689, 18688])).
% 14.08/9.87 tff(18691,plain,
% 14.08/9.87 ($false),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18690, 102, 18687, 18680])).
% 14.08/9.87 tff(18692,plain,(~node4(s235)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.87 tff(18693,plain,
% 14.08/9.87 (xuntil6(s235) | (~until5(s235))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18224, 294, 18692])).
% 14.08/9.87 tff(18694,plain,
% 14.08/9.87 (xuntil6(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18693, 18663])).
% 14.08/9.87 tff(18695,plain,
% 14.08/9.87 (until5(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18230, 18694])).
% 14.08/9.87 tff(18696,plain,
% 14.08/9.87 (xuntil6(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18276, 18695])).
% 14.08/9.87 tff(18697,plain,
% 14.08/9.87 (until5(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18281, 18696])).
% 14.08/9.87 tff(18698,plain,
% 14.08/9.87 (xuntil6(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17783, 294, 18697, 18531])).
% 14.08/9.87 tff(18699,plain,
% 14.08/9.87 (until5(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17763, 18698])).
% 14.08/9.87 tff(18700,plain,
% 14.08/9.87 (~node4(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17747, 36, 18529])).
% 14.08/9.87 tff(18701,plain,
% 14.08/9.87 (xuntil6(s238) | (~until5(s238))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17754, 294, 18700])).
% 14.08/9.87 tff(18702,plain,
% 14.08/9.87 (xuntil6(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18701, 18699])).
% 14.08/9.87 tff(18703,plain,
% 14.08/9.87 (until5(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17733, 18702])).
% 14.08/9.87 tff(18704,plain,
% 14.08/9.87 (xuntil6(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17725, 18703])).
% 14.08/9.87 tff(18705,plain,
% 14.08/9.87 (until5(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17671, 18704])).
% 14.08/9.87 tff(18706,plain,
% 14.08/9.87 (~node4(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17655, 36, 18527])).
% 14.08/9.87 tff(18707,plain,
% 14.08/9.87 (xuntil6(s240) | (~until5(s240))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17662, 294, 18706])).
% 14.08/9.87 tff(18708,plain,
% 14.08/9.87 (xuntil6(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18707, 18705])).
% 14.08/9.87 tff(18709,plain,
% 14.08/9.87 (until5(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17642, 18708])).
% 14.08/9.87 tff(18710,plain,
% 14.08/9.87 (~node4(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17626, 36, 18526])).
% 14.08/9.87 tff(18711,plain,
% 14.08/9.87 (xuntil6(s241) | (~until5(s241))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17633, 294, 18710])).
% 14.08/9.87 tff(18712,plain,
% 14.08/9.87 (xuntil6(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18711, 18709])).
% 14.08/9.87 tff(18713,plain,
% 14.08/9.87 ($false),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17613, 18712, 18524])).
% 14.08/9.87 tff(18714,plain,(always3(s248) | xuntil6(s248)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.87 tff(18715,plain,
% 14.08/9.87 (always3(s248)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18714, 18389])).
% 14.08/9.87 tff(18716,plain,
% 14.08/9.87 (always3(s249)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17419, 18715])).
% 14.08/9.87 tff(18717,plain,
% 14.08/9.87 (~m_main_v_state(s249, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18380, 85, 18716])).
% 14.08/9.87 tff(18718,plain,
% 14.08/9.87 (~m_main_v_state(s248, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18411, 85, 18715])).
% 14.08/9.87 tff(18719,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18720,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18721,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18720, 18719])).
% 14.08/9.87 tff(18722,plain,
% 14.08/9.87 (m_main_v_state(s248, c_ready)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18721, 102, 18718])).
% 14.08/9.87 tff(18723,plain,
% 14.08/9.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s248, s249)) | node2(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s248, s249)) | node2(s248, s249))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18724,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s248, s249)) | node2(s248, s249))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18725,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s248, s249)) | node2(s248, s249)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 14.08/9.87 tff(18726,plain,
% 14.08/9.87 (node2(s248, s249)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18725, 7, 17415])).
% 14.08/9.87 tff(18727,plain,
% 14.08/9.87 (((~![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(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18728,plain,
% 14.08/9.87 ((~![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(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18729,plain,
% 14.08/9.87 ((~![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(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18728, 18727])).
% 14.08/9.87 tff(18730,plain,
% 14.08/9.87 ((~m_main_v_state(s248, c_ready)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18729, 73, 18726])).
% 14.08/9.87 tff(18731,plain,
% 14.08/9.87 (~m_main_v_request(s248)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18730, 18722, 18717])).
% 14.08/9.87 tff(18732,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s248) | (~node4(s248)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s248) | (~node4(s248)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18733,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s248) | (~node4(s248)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18734,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s248) | (~node4(s248))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18733, 18732])).
% 14.08/9.87 tff(18735,plain,
% 14.08/9.87 (~node4(s248)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18734, 21, 18731])).
% 14.08/9.87 tff(18736,plain,
% 14.08/9.87 (node4(s248) | (~until5(s248))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17430, 294, 18389])).
% 14.08/9.87 tff(18737,plain,
% 14.08/9.87 (~until5(s248)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18736, 18735])).
% 14.08/9.87 tff(18738,plain,
% 14.08/9.87 (~xuntil6(s247)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17439, 18737])).
% 14.08/9.87 tff(18739,plain,
% 14.08/9.87 (~until5(s247)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18434, 18738])).
% 14.08/9.87 tff(18740,plain,
% 14.08/9.87 (~xuntil6(s246)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17468, 18739])).
% 14.08/9.87 tff(18741,assumption,(~always3(s246)), introduced(assumption)).
% 14.08/9.87 tff(18742,plain,
% 14.08/9.87 (~always3(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17506, 18741])).
% 14.08/9.87 tff(18743,plain,
% 14.08/9.87 (~node4(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17510, 36, 18742])).
% 14.08/9.87 tff(18744,plain,
% 14.08/9.87 (~node4(s246)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17481, 36, 18741])).
% 14.08/9.87 tff(18745,assumption,(~xuntil6(s246)), introduced(assumption)).
% 14.08/9.87 tff(18746,plain,
% 14.08/9.87 (node4(s246) | (~until5(s246))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17488, 294, 18745])).
% 14.08/9.87 tff(18747,plain,
% 14.08/9.87 (~until5(s246)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18746, 18744])).
% 14.08/9.87 tff(18748,plain,
% 14.08/9.87 (~xuntil6(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17497, 18747])).
% 14.08/9.87 tff(18749,plain,
% 14.08/9.87 (~until5(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17517, 294, 18748, 18743])).
% 14.08/9.87 tff(18750,plain,
% 14.08/9.87 (~xuntil6(s244)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17526, 18749])).
% 14.08/9.87 tff(18751,plain,
% 14.08/9.87 (~until5(s244)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18479, 18750])).
% 14.08/9.87 tff(18752,plain,
% 14.08/9.87 (~xuntil6(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17555, 18751])).
% 14.08/9.87 tff(18753,plain,
% 14.08/9.87 (~always3(s244)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17535, 18742])).
% 14.08/9.87 tff(18754,plain,
% 14.08/9.87 (~always3(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17564, 18753])).
% 14.08/9.87 tff(18755,plain,
% 14.08/9.87 (~node4(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17568, 36, 18754])).
% 14.08/9.87 tff(18756,plain,
% 14.08/9.87 (xuntil6(s243) | (~until5(s243))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17575, 294, 18755])).
% 14.08/9.87 tff(18757,plain,
% 14.08/9.87 (~until5(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18756, 18752])).
% 14.08/9.87 tff(18758,plain,
% 14.08/9.87 (~xuntil6(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17584, 18757])).
% 14.08/9.87 tff(18759,plain,
% 14.08/9.87 (~until5(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18523, 18758])).
% 14.08/9.87 tff(18760,plain,
% 14.08/9.87 (~xuntil6(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17613, 18759])).
% 14.08/9.87 tff(18761,plain,
% 14.08/9.87 (~always3(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17593, 18754])).
% 14.08/9.87 tff(18762,plain,
% 14.08/9.87 (~always3(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17622, 18761])).
% 14.08/9.87 tff(18763,plain,
% 14.08/9.87 (~always3(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17651, 18762])).
% 14.08/9.87 tff(18764,plain,
% 14.08/9.87 (~always3(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17689, 18763])).
% 14.08/9.87 tff(18765,plain,
% 14.08/9.87 (~always3(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17743, 18764])).
% 14.08/9.87 tff(18766,plain,
% 14.08/9.87 (~always3(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17772, 18765])).
% 14.08/9.87 tff(18767,plain,
% 14.08/9.87 (~node4(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17776, 36, 18766])).
% 14.08/9.87 tff(18768,plain,
% 14.08/9.87 (~always3(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17796, 18766])).
% 14.08/9.87 tff(18769,plain,
% 14.08/9.87 (~always3(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17808, 18768])).
% 14.08/9.87 tff(18770,plain,
% 14.08/9.87 (~always3(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17820, 18769])).
% 14.08/9.87 tff(18771,plain,
% 14.08/9.87 (~node4(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18200, 36, 18770])).
% 14.08/9.87 tff(18772,plain,
% 14.08/9.87 (~always3(s233)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17832, 18770])).
% 14.08/9.87 tff(18773,plain,
% 14.08/9.87 (xuntil6(s233)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18658, 18772])).
% 14.08/9.87 tff(18774,plain,
% 14.08/9.87 (until5(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18196, 18773])).
% 14.08/9.87 tff(18775,plain,
% 14.08/9.87 (xuntil6(s234) | node4(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18207, 294, 18774])).
% 14.08/9.87 tff(18776,plain,
% 14.08/9.87 (xuntil6(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18775, 18771])).
% 14.08/9.87 tff(18777,plain,
% 14.08/9.87 (until5(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18213, 18776])).
% 14.08/9.87 tff(18778,plain,
% 14.08/9.87 (xuntil6(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18693, 18777])).
% 14.08/9.87 tff(18779,plain,
% 14.08/9.87 (until5(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18230, 18778])).
% 14.08/9.87 tff(18780,plain,
% 14.08/9.87 (xuntil6(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18276, 18779])).
% 14.08/9.87 tff(18781,plain,
% 14.08/9.87 (until5(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18281, 18780])).
% 14.08/9.87 tff(18782,plain,
% 14.08/9.87 (xuntil6(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17783, 294, 18781, 18767])).
% 14.08/9.87 tff(18783,plain,
% 14.08/9.87 (until5(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17763, 18782])).
% 14.08/9.87 tff(18784,plain,
% 14.08/9.87 (~node4(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17747, 36, 18765])).
% 14.08/9.87 tff(18785,plain,
% 14.08/9.87 (xuntil6(s238) | (~until5(s238))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17754, 294, 18784])).
% 14.08/9.87 tff(18786,plain,
% 14.08/9.87 (xuntil6(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18785, 18783])).
% 14.08/9.87 tff(18787,plain,
% 14.08/9.87 (until5(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17733, 18786])).
% 14.08/9.87 tff(18788,plain,
% 14.08/9.87 (xuntil6(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17725, 18787])).
% 14.08/9.87 tff(18789,plain,
% 14.08/9.87 (until5(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17671, 18788])).
% 14.08/9.87 tff(18790,plain,
% 14.08/9.87 (~node4(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17655, 36, 18763])).
% 14.08/9.87 tff(18791,plain,
% 14.08/9.87 (xuntil6(s240) | (~until5(s240))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17662, 294, 18790])).
% 14.08/9.87 tff(18792,plain,
% 14.08/9.87 (xuntil6(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18791, 18789])).
% 14.08/9.87 tff(18793,plain,
% 14.08/9.87 (until5(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17642, 18792])).
% 14.08/9.87 tff(18794,plain,
% 14.08/9.87 (~node4(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17626, 36, 18762])).
% 14.08/9.87 tff(18795,plain,
% 14.08/9.87 (xuntil6(s241) | (~until5(s241))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17633, 294, 18794])).
% 14.08/9.87 tff(18796,plain,
% 14.08/9.87 ($false),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18795, 18793, 18760])).
% 14.08/9.87 tff(18797,plain,(always3(s246) | xuntil6(s246)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.87 tff(18798,plain,
% 14.08/9.87 (always3(s246)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18797, 18740])).
% 14.08/9.87 tff(18799,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s246)) | (~m_main_v_state(s246, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s246)) | (~m_main_v_state(s246, c_busy)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18800,plain,
% 14.08/9.87 (((~m_main_v_state(s246, c_busy)) | (~always3(s246))) <=> ((~always3(s246)) | (~m_main_v_state(s246, c_busy)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18801,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s246, c_busy)) | (~always3(s246)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s246)) | (~m_main_v_state(s246, c_busy))))),
% 14.08/9.87 inference(monotonicity,[status(thm)],[18800])).
% 14.08/9.87 tff(18802,plain,
% 14.08/9.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s246, c_busy)) | (~always3(s246)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s246)) | (~m_main_v_state(s246, c_busy)))),
% 14.08/9.87 inference(transitivity,[status(thm)],[18801, 18799])).
% 14.08/9.87 tff(18803,plain,
% 14.08/9.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s246, c_busy)) | (~always3(s246)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18804,plain,
% 14.08/9.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s246)) | (~m_main_v_state(s246, c_busy))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18803, 18802])).
% 14.08/9.87 tff(18805,plain,
% 14.08/9.87 (~m_main_v_state(s246, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18804, 85, 18798])).
% 14.08/9.87 tff(18806,plain,
% 14.08/9.87 (always3(s247)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17477, 18798])).
% 14.08/9.87 tff(18807,plain,
% 14.08/9.87 (~m_main_v_state(s247, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18427, 85, 18806])).
% 14.08/9.87 tff(18808,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18809,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18810,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18809, 18808])).
% 14.08/9.87 tff(18811,plain,
% 14.08/9.87 (m_main_v_state(s246, c_ready)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18810, 102, 18805])).
% 14.08/9.87 tff(18812,plain,
% 14.08/9.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s246, s247)) | node2(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s246, s247)) | node2(s246, s247))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18813,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s246, s247)) | node2(s246, s247))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18814,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s246, s247)) | node2(s246, s247)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18813, 18812])).
% 14.08/9.87 tff(18815,plain,
% 14.08/9.87 (node2(s246, s247)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18814, 7, 17473])).
% 14.08/9.87 tff(18816,plain,
% 14.08/9.87 (((~![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(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18817,plain,
% 14.08/9.87 ((~![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(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18818,plain,
% 14.08/9.87 ((~![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(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18817, 18816])).
% 14.08/9.87 tff(18819,plain,
% 14.08/9.87 ((~m_main_v_state(s246, c_ready)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18818, 73, 18815])).
% 14.08/9.87 tff(18820,plain,
% 14.08/9.87 (~m_main_v_request(s246)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18819, 18811, 18807])).
% 14.08/9.87 tff(18821,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s246) | (~node4(s246)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s246) | (~node4(s246)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18822,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s246) | (~node4(s246)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18823,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s246) | (~node4(s246))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18822, 18821])).
% 14.08/9.87 tff(18824,plain,
% 14.08/9.87 (~node4(s246)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18823, 21, 18820])).
% 14.08/9.87 tff(18825,plain,
% 14.08/9.87 (node4(s246) | (~until5(s246))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17488, 294, 18740])).
% 14.08/9.87 tff(18826,plain,
% 14.08/9.87 (~until5(s246)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18825, 18824])).
% 14.08/9.87 tff(18827,plain,
% 14.08/9.87 (~xuntil6(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17497, 18826])).
% 14.08/9.87 tff(18828,assumption,(~always3(s245)), introduced(assumption)).
% 14.08/9.87 tff(18829,plain,
% 14.08/9.87 (~always3(s244)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17535, 18828])).
% 14.08/9.87 tff(18830,plain,
% 14.08/9.87 (~always3(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17564, 18829])).
% 14.08/9.87 tff(18831,plain,
% 14.08/9.87 (~always3(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17593, 18830])).
% 14.08/9.87 tff(18832,plain,
% 14.08/9.87 (~always3(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17622, 18831])).
% 14.08/9.87 tff(18833,plain,
% 14.08/9.87 (~always3(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17651, 18832])).
% 14.08/9.87 tff(18834,plain,
% 14.08/9.87 (~always3(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17689, 18833])).
% 14.08/9.87 tff(18835,plain,
% 14.08/9.87 (~always3(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17743, 18834])).
% 14.08/9.87 tff(18836,plain,
% 14.08/9.87 (~always3(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17772, 18835])).
% 14.08/9.87 tff(18837,plain,
% 14.08/9.87 (~node4(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17776, 36, 18836])).
% 14.08/9.87 tff(18838,plain,
% 14.08/9.87 (~always3(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17796, 18836])).
% 14.08/9.87 tff(18839,plain,
% 14.08/9.87 (~always3(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17808, 18838])).
% 14.08/9.87 tff(18840,plain,
% 14.08/9.87 (~always3(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17820, 18839])).
% 14.08/9.87 tff(18841,plain,
% 14.08/9.87 (~node4(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18200, 36, 18840])).
% 14.08/9.87 tff(18842,plain,
% 14.08/9.87 (~always3(s233)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17832, 18840])).
% 14.08/9.87 tff(18843,plain,
% 14.08/9.87 (xuntil6(s233)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18658, 18842])).
% 14.08/9.87 tff(18844,plain,
% 14.08/9.87 (until5(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18196, 18843])).
% 14.08/9.87 tff(18845,plain,
% 14.08/9.87 (xuntil6(s234) | node4(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18207, 294, 18844])).
% 14.08/9.87 tff(18846,plain,
% 14.08/9.87 (xuntil6(s234)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18845, 18841])).
% 14.08/9.87 tff(18847,plain,
% 14.08/9.87 (until5(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18213, 18846])).
% 14.08/9.87 tff(18848,plain,
% 14.08/9.87 (xuntil6(s235)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18693, 18847])).
% 14.08/9.87 tff(18849,plain,
% 14.08/9.87 (until5(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18230, 18848])).
% 14.08/9.87 tff(18850,plain,
% 14.08/9.87 (xuntil6(s236)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18276, 18849])).
% 14.08/9.87 tff(18851,plain,
% 14.08/9.87 (until5(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18281, 18850])).
% 14.08/9.87 tff(18852,plain,
% 14.08/9.87 (xuntil6(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17783, 294, 18851, 18837])).
% 14.08/9.87 tff(18853,plain,
% 14.08/9.87 (until5(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17763, 18852])).
% 14.08/9.87 tff(18854,plain,
% 14.08/9.87 (~node4(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17747, 36, 18835])).
% 14.08/9.87 tff(18855,plain,
% 14.08/9.87 (xuntil6(s238) | (~until5(s238))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17754, 294, 18854])).
% 14.08/9.87 tff(18856,plain,
% 14.08/9.87 (xuntil6(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18855, 18853])).
% 14.08/9.87 tff(18857,plain,
% 14.08/9.87 (until5(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17733, 18856])).
% 14.08/9.87 tff(18858,plain,
% 14.08/9.87 (xuntil6(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17725, 18857])).
% 14.08/9.87 tff(18859,plain,
% 14.08/9.87 (until5(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17671, 18858])).
% 14.08/9.87 tff(18860,plain,
% 14.08/9.87 (~node4(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17655, 36, 18833])).
% 14.08/9.87 tff(18861,plain,
% 14.08/9.87 (xuntil6(s240) | (~until5(s240))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17662, 294, 18860])).
% 14.08/9.87 tff(18862,plain,
% 14.08/9.87 (xuntil6(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18861, 18859])).
% 14.08/9.87 tff(18863,plain,
% 14.08/9.87 (until5(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17642, 18862])).
% 14.08/9.87 tff(18864,plain,
% 14.08/9.87 (~node4(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17626, 36, 18832])).
% 14.08/9.87 tff(18865,plain,
% 14.08/9.87 (xuntil6(s241) | (~until5(s241))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17633, 294, 18864])).
% 14.08/9.87 tff(18866,plain,
% 14.08/9.87 (xuntil6(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18865, 18863])).
% 14.08/9.87 tff(18867,plain,
% 14.08/9.87 (until5(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17613, 18866])).
% 14.08/9.87 tff(18868,plain,
% 14.08/9.87 (xuntil6(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18523, 18867])).
% 14.08/9.87 tff(18869,plain,
% 14.08/9.87 (until5(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17584, 18868])).
% 14.08/9.87 tff(18870,plain,
% 14.08/9.87 (~node4(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17568, 36, 18830])).
% 14.08/9.87 tff(18871,plain,
% 14.08/9.87 (xuntil6(s243) | (~until5(s243))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17575, 294, 18870])).
% 14.08/9.87 tff(18872,plain,
% 14.08/9.87 (xuntil6(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18871, 18869])).
% 14.08/9.87 tff(18873,plain,
% 14.08/9.87 (until5(s244)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17555, 18872])).
% 14.08/9.87 tff(18874,plain,
% 14.08/9.87 (xuntil6(s244)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18479, 18873])).
% 14.08/9.87 tff(18875,plain,
% 14.08/9.87 (until5(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17526, 18874])).
% 14.08/9.87 tff(18876,assumption,(~xuntil6(s245)), introduced(assumption)).
% 14.08/9.87 tff(18877,plain,
% 14.08/9.87 (node4(s245) | (~until5(s245))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17517, 294, 18876])).
% 14.08/9.87 tff(18878,plain,
% 14.08/9.87 (node4(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18877, 18875])).
% 14.08/9.87 tff(18879,plain,
% 14.08/9.87 ($false),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17510, 36, 18828, 18878])).
% 14.08/9.87 tff(18880,plain,(always3(s245) | xuntil6(s245)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.87 tff(18881,plain,
% 14.08/9.87 (always3(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18880, 18827])).
% 14.08/9.87 tff(18882,plain,
% 14.08/9.87 (~m_main_v_state(s245, c_busy)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18456, 85, 18881])).
% 14.08/9.87 tff(18883,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18884,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18885,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 14.08/9.87 tff(18886,plain,
% 14.08/9.87 (m_main_v_state(s245, c_ready)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18885, 102, 18882])).
% 14.08/9.87 tff(18887,plain,
% 14.08/9.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s245, s246)) | node2(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s245, s246)) | node2(s245, s246))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18888,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s245, s246)) | node2(s245, s246))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18889,plain,
% 14.08/9.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s245, s246)) | node2(s245, s246)),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18888, 18887])).
% 14.08/9.87 tff(18890,plain,
% 14.08/9.87 (node2(s245, s246)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18889, 7, 17502])).
% 14.08/9.87 tff(18891,plain,
% 14.08/9.87 (((~![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(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18892,plain,
% 14.08/9.87 ((~![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(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18893,plain,
% 14.08/9.87 ((~![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(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18892, 18891])).
% 14.08/9.87 tff(18894,plain,
% 14.08/9.87 ((~m_main_v_state(s245, c_ready)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18893, 73, 18890])).
% 14.08/9.87 tff(18895,plain,
% 14.08/9.87 (~m_main_v_request(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18894, 18886, 18805])).
% 14.08/9.87 tff(18896,plain,
% 14.08/9.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s245) | (~node4(s245)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s245) | (~node4(s245)))),
% 14.08/9.87 inference(rewrite,[status(thm)],[])).
% 14.08/9.87 tff(18897,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s245) | (~node4(s245)))),
% 14.08/9.87 inference(quant_inst,[status(thm)],[])).
% 14.08/9.87 tff(18898,plain,
% 14.08/9.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s245) | (~node4(s245))),
% 14.08/9.87 inference(modus_ponens,[status(thm)],[18897, 18896])).
% 14.08/9.87 tff(18899,plain,
% 14.08/9.87 (~node4(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18898, 21, 18895])).
% 14.08/9.87 tff(18900,plain,
% 14.08/9.87 (node4(s245) | (~until5(s245))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17517, 294, 18827])).
% 14.08/9.87 tff(18901,plain,
% 14.08/9.87 (~until5(s245)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18900, 18899])).
% 14.08/9.87 tff(18902,plain,
% 14.08/9.87 (~xuntil6(s244)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17526, 18901])).
% 14.08/9.87 tff(18903,plain,
% 14.08/9.87 (~until5(s244)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18479, 18902])).
% 14.08/9.87 tff(18904,plain,
% 14.08/9.87 (~xuntil6(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17555, 18903])).
% 14.08/9.87 tff(18905,assumption,(~always3(s243)), introduced(assumption)).
% 14.08/9.87 tff(18906,plain,
% 14.08/9.87 (~always3(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17593, 18905])).
% 14.08/9.87 tff(18907,plain,
% 14.08/9.87 (~always3(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17622, 18906])).
% 14.08/9.87 tff(18908,plain,
% 14.08/9.87 (~node4(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17626, 36, 18907])).
% 14.08/9.87 tff(18909,plain,
% 14.08/9.87 (~node4(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17568, 36, 18905])).
% 14.08/9.87 tff(18910,assumption,(~xuntil6(s243)), introduced(assumption)).
% 14.08/9.87 tff(18911,plain,
% 14.08/9.87 (node4(s243) | (~until5(s243))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17575, 294, 18910])).
% 14.08/9.87 tff(18912,plain,
% 14.08/9.87 (~until5(s243)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18911, 18909])).
% 14.08/9.87 tff(18913,plain,
% 14.08/9.87 (~xuntil6(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17584, 18912])).
% 14.08/9.87 tff(18914,plain,
% 14.08/9.87 (~until5(s242)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18523, 18913])).
% 14.08/9.87 tff(18915,plain,
% 14.08/9.87 (~xuntil6(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17613, 18914])).
% 14.08/9.87 tff(18916,plain,
% 14.08/9.87 (~until5(s241)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17633, 294, 18915, 18908])).
% 14.08/9.87 tff(18917,plain,
% 14.08/9.87 (~xuntil6(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17642, 18916])).
% 14.08/9.87 tff(18918,plain,
% 14.08/9.87 (~always3(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17651, 18907])).
% 14.08/9.87 tff(18919,plain,
% 14.08/9.87 (~node4(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17655, 36, 18918])).
% 14.08/9.87 tff(18920,plain,
% 14.08/9.87 (xuntil6(s240) | (~until5(s240))),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17662, 294, 18919])).
% 14.08/9.87 tff(18921,plain,
% 14.08/9.87 (~until5(s240)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[18920, 18917])).
% 14.08/9.87 tff(18922,plain,
% 14.08/9.87 (~xuntil6(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17671, 18921])).
% 14.08/9.87 tff(18923,plain,
% 14.08/9.87 (~always3(s239)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17689, 18918])).
% 14.08/9.87 tff(18924,plain,
% 14.08/9.87 (~always3(s238)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17743, 18923])).
% 14.08/9.87 tff(18925,plain,
% 14.08/9.87 (~always3(s237)),
% 14.08/9.87 inference(unit_resolution,[status(thm)],[17772, 18924])).
% 14.08/9.87 tff(18926,plain,
% 14.08/9.87 (~node4(s237)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17776, 36, 18925])).
% 14.08/9.88 tff(18927,plain,
% 14.08/9.88 (~always3(s236)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17796, 18925])).
% 14.08/9.88 tff(18928,plain,
% 14.08/9.88 (~always3(s235)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17808, 18927])).
% 14.08/9.88 tff(18929,plain,
% 14.08/9.88 (~always3(s234)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17820, 18928])).
% 14.08/9.88 tff(18930,plain,
% 14.08/9.88 (~node4(s234)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18200, 36, 18929])).
% 14.08/9.88 tff(18931,plain,
% 14.08/9.88 (~always3(s233)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17832, 18929])).
% 14.08/9.88 tff(18932,plain,
% 14.08/9.88 (xuntil6(s233)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18658, 18931])).
% 14.08/9.88 tff(18933,plain,
% 14.08/9.88 (until5(s234)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18196, 18932])).
% 14.08/9.88 tff(18934,plain,
% 14.08/9.88 (xuntil6(s234) | node4(s234)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18207, 294, 18933])).
% 14.08/9.88 tff(18935,plain,
% 14.08/9.88 (xuntil6(s234)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18934, 18930])).
% 14.08/9.88 tff(18936,plain,
% 14.08/9.88 (until5(s235)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18213, 18935])).
% 14.08/9.88 tff(18937,plain,
% 14.08/9.88 (xuntil6(s235)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18693, 18936])).
% 14.08/9.88 tff(18938,plain,
% 14.08/9.88 (until5(s236)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18230, 18937])).
% 14.08/9.88 tff(18939,plain,
% 14.08/9.88 (xuntil6(s236)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18276, 18938])).
% 14.08/9.88 tff(18940,plain,
% 14.08/9.88 (until5(s237)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18281, 18939])).
% 14.08/9.88 tff(18941,plain,
% 14.08/9.88 (xuntil6(s237)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17783, 294, 18940, 18926])).
% 14.08/9.88 tff(18942,plain,
% 14.08/9.88 (until5(s238)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17763, 18941])).
% 14.08/9.88 tff(18943,plain,
% 14.08/9.88 (~node4(s238)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17747, 36, 18924])).
% 14.08/9.88 tff(18944,plain,
% 14.08/9.88 (xuntil6(s238) | (~until5(s238))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17754, 294, 18943])).
% 14.08/9.88 tff(18945,plain,
% 14.08/9.88 (xuntil6(s238)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18944, 18942])).
% 14.08/9.88 tff(18946,plain,
% 14.08/9.88 (until5(s239)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17733, 18945])).
% 14.08/9.88 tff(18947,plain,
% 14.08/9.88 ($false),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17725, 18946, 18922])).
% 14.08/9.88 tff(18948,plain,(always3(s243) | xuntil6(s243)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.88 tff(18949,plain,
% 14.08/9.88 (always3(s243)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18948, 18904])).
% 14.08/9.88 tff(18950,plain,
% 14.08/9.88 (always3(s244)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17564, 18949])).
% 14.08/9.88 tff(18951,plain,
% 14.08/9.88 (~m_main_v_state(s244, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18472, 85, 18950])).
% 14.08/9.88 tff(18952,assumption,(node4(s221)), introduced(assumption)).
% 14.08/9.88 tff(18953,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s221) | (~node4(s221)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s221) | (~node4(s221)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18954,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s221) | (~node4(s221)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(18955,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s221) | (~node4(s221))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[18954, 18953])).
% 14.08/9.88 tff(18956,plain,
% 14.08/9.88 (m_main_v_request(s221)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18955, 21, 18952])).
% 14.08/9.88 tff(18957,plain,
% 14.08/9.88 (always3(s221)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17984, 36, 18952])).
% 14.08/9.88 tff(18958,plain,
% 14.08/9.88 (always3(s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17980, 18957])).
% 14.08/9.88 tff(18959,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s222)) | (~m_main_v_state(s222, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s222)) | (~m_main_v_state(s222, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18960,plain,
% 14.08/9.88 (((~m_main_v_state(s222, c_busy)) | (~always3(s222))) <=> ((~always3(s222)) | (~m_main_v_state(s222, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18961,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s222, c_busy)) | (~always3(s222)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s222)) | (~m_main_v_state(s222, c_busy))))),
% 14.08/9.88 inference(monotonicity,[status(thm)],[18960])).
% 14.08/9.88 tff(18962,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s222, c_busy)) | (~always3(s222)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s222)) | (~m_main_v_state(s222, c_busy)))),
% 14.08/9.88 inference(transitivity,[status(thm)],[18961, 18959])).
% 14.08/9.88 tff(18963,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s222, c_busy)) | (~always3(s222)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(18964,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s222)) | (~m_main_v_state(s222, c_busy))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 14.08/9.88 tff(18965,plain,
% 14.08/9.88 (~m_main_v_state(s222, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18964, 85, 18958])).
% 14.08/9.88 tff(18966,plain,
% 14.08/9.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s221, s222)) | node2(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s221, s222)) | node2(s221, s222))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18967,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s221, s222)) | node2(s221, s222))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(18968,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s221, s222)) | node2(s221, s222)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[18967, 18966])).
% 14.08/9.88 tff(18969,plain,
% 14.08/9.88 (node2(s221, s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18968, 7, 17976])).
% 14.08/9.88 tff(18970,plain,
% 14.08/9.88 (((~![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(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18971,plain,
% 14.08/9.88 ((~![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(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(18972,plain,
% 14.08/9.88 ((~![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(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[18971, 18970])).
% 14.08/9.88 tff(18973,plain,
% 14.08/9.88 ((~m_main_v_state(s221, c_ready)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18972, 73, 18969])).
% 14.08/9.88 tff(18974,plain,
% 14.08/9.88 (~m_main_v_state(s221, c_ready)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18973, 18965, 18956])).
% 14.08/9.88 tff(18975,plain,
% 14.08/9.88 (~m_main_v_state(s221, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[15903, 85, 18957])).
% 14.08/9.88 tff(18976,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18977,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(18978,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 14.08/9.88 tff(18979,plain,
% 14.08/9.88 ($false),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18978, 102, 18975, 18974])).
% 14.08/9.88 tff(18980,plain,(~node4(s221)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.88 tff(18981,plain,
% 14.08/9.88 (xuntil6(s221) | (~until5(s221))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17991, 294, 18980])).
% 14.08/9.88 tff(18982,plain,
% 14.08/9.88 (xuntil6(s221)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18981, 17207])).
% 14.08/9.88 tff(18983,plain,
% 14.08/9.88 (until5(s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17997, 18982])).
% 14.08/9.88 tff(18984,assumption,(node4(s222)), introduced(assumption)).
% 14.08/9.88 tff(18985,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s222) | (~node4(s222)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s222) | (~node4(s222)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18986,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s222) | (~node4(s222)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(18987,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s222) | (~node4(s222))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[18986, 18985])).
% 14.08/9.88 tff(18988,plain,
% 14.08/9.88 (m_main_v_request(s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18987, 21, 18984])).
% 14.08/9.88 tff(18989,plain,
% 14.08/9.88 (always3(s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17968, 36, 18984])).
% 14.08/9.88 tff(18990,plain,
% 14.08/9.88 (always3(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17964, 18989])).
% 14.08/9.88 tff(18991,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s223)) | (~m_main_v_state(s223, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s223)) | (~m_main_v_state(s223, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18992,plain,
% 14.08/9.88 (((~m_main_v_state(s223, c_busy)) | (~always3(s223))) <=> ((~always3(s223)) | (~m_main_v_state(s223, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18993,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s223, c_busy)) | (~always3(s223)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s223)) | (~m_main_v_state(s223, c_busy))))),
% 14.08/9.88 inference(monotonicity,[status(thm)],[18992])).
% 14.08/9.88 tff(18994,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s223, c_busy)) | (~always3(s223)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s223)) | (~m_main_v_state(s223, c_busy)))),
% 14.08/9.88 inference(transitivity,[status(thm)],[18993, 18991])).
% 14.08/9.88 tff(18995,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s223, c_busy)) | (~always3(s223)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(18996,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s223)) | (~m_main_v_state(s223, c_busy))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[18995, 18994])).
% 14.08/9.88 tff(18997,plain,
% 14.08/9.88 (~m_main_v_state(s223, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18996, 85, 18990])).
% 14.08/9.88 tff(18998,plain,
% 14.08/9.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s222, s223)) | node2(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s222, s223)) | node2(s222, s223))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(18999,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s222, s223)) | node2(s222, s223))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19000,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s222, s223)) | node2(s222, s223)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[18999, 18998])).
% 14.08/9.88 tff(19001,plain,
% 14.08/9.88 (node2(s222, s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19000, 7, 17960])).
% 14.08/9.88 tff(19002,plain,
% 14.08/9.88 (((~![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(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19003,plain,
% 14.08/9.88 ((~![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(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19004,plain,
% 14.08/9.88 ((~![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(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19003, 19002])).
% 14.08/9.88 tff(19005,plain,
% 14.08/9.88 ((~m_main_v_state(s222, c_ready)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19004, 73, 19001])).
% 14.08/9.88 tff(19006,plain,
% 14.08/9.88 (~m_main_v_state(s222, c_ready)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19005, 18997, 18988])).
% 14.08/9.88 tff(19007,plain,
% 14.08/9.88 (~m_main_v_state(s222, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18964, 85, 18989])).
% 14.08/9.88 tff(19008,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19009,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19010,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19009, 19008])).
% 14.08/9.88 tff(19011,plain,
% 14.08/9.88 ($false),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19010, 102, 19007, 19006])).
% 14.08/9.88 tff(19012,plain,(~node4(s222)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.88 tff(19013,plain,
% 14.08/9.88 (xuntil6(s222) | (~until5(s222))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18004, 294, 19012])).
% 14.08/9.88 tff(19014,plain,
% 14.08/9.88 (xuntil6(s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19013, 18983])).
% 14.08/9.88 tff(19015,plain,
% 14.08/9.88 (until5(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18009, 19014])).
% 14.08/9.88 tff(19016,assumption,(node4(s223)), introduced(assumption)).
% 14.08/9.88 tff(19017,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s223) | (~node4(s223)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s223) | (~node4(s223)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19018,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s223) | (~node4(s223)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19019,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s223) | (~node4(s223))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19018, 19017])).
% 14.08/9.88 tff(19020,plain,
% 14.08/9.88 (m_main_v_request(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19019, 21, 19016])).
% 14.08/9.88 tff(19021,plain,
% 14.08/9.88 (always3(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18013, 36, 19016])).
% 14.08/9.88 tff(19022,plain,
% 14.08/9.88 (always3(s224)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17952, 19021])).
% 14.08/9.88 tff(19023,plain,
% 14.08/9.88 (~m_main_v_state(s224, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18637, 85, 19022])).
% 14.08/9.88 tff(19024,plain,
% 14.08/9.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s223, s224)) | node2(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s223, s224)) | node2(s223, s224))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19025,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s223, s224)) | node2(s223, s224))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19026,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s223, s224)) | node2(s223, s224)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19025, 19024])).
% 14.08/9.88 tff(19027,plain,
% 14.08/9.88 (node2(s223, s224)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19026, 7, 17948])).
% 14.08/9.88 tff(19028,plain,
% 14.08/9.88 (((~![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(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19029,plain,
% 14.08/9.88 ((~![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(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19030,plain,
% 14.08/9.88 ((~![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(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19029, 19028])).
% 14.08/9.88 tff(19031,plain,
% 14.08/9.88 ((~m_main_v_state(s223, c_ready)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19030, 73, 19027])).
% 14.08/9.88 tff(19032,plain,
% 14.08/9.88 (~m_main_v_state(s223, c_ready)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19031, 19023, 19020])).
% 14.08/9.88 tff(19033,plain,
% 14.08/9.88 (~m_main_v_state(s223, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18996, 85, 19021])).
% 14.08/9.88 tff(19034,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19035,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19036,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19035, 19034])).
% 14.08/9.88 tff(19037,plain,
% 14.08/9.88 ($false),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19036, 102, 19033, 19032])).
% 14.08/9.88 tff(19038,plain,(~node4(s223)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.88 tff(19039,plain,
% 14.08/9.88 (xuntil6(s223) | (~until5(s223))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18020, 294, 19038])).
% 14.08/9.88 tff(19040,plain,
% 14.08/9.88 (xuntil6(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19039, 19015])).
% 14.08/9.88 tff(19041,plain,
% 14.08/9.88 (until5(s224)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18026, 19040])).
% 14.08/9.88 tff(19042,plain,
% 14.08/9.88 (xuntil6(s224)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18644, 19041])).
% 14.08/9.88 tff(19043,plain,
% 14.08/9.88 (until5(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18043, 19042])).
% 14.08/9.88 tff(19044,assumption,(~xuntil6(s226)), introduced(assumption)).
% 14.08/9.88 tff(19045,assumption,(~always3(s226)), introduced(assumption)).
% 14.08/9.88 tff(19046,plain,
% 14.08/9.88 (~always3(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17928, 19045])).
% 14.08/9.88 tff(19047,plain,
% 14.08/9.88 (~node4(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18047, 36, 19046])).
% 14.08/9.88 tff(19048,plain,
% 14.08/9.88 (~node4(s226)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18064, 36, 19045])).
% 14.08/9.88 tff(19049,plain,
% 14.08/9.88 (node4(s226) | (~until5(s226))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18071, 294, 19044])).
% 14.08/9.88 tff(19050,plain,
% 14.08/9.88 (~until5(s226)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19049, 19048])).
% 14.08/9.88 tff(19051,plain,
% 14.08/9.88 (~xuntil6(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18060, 19050])).
% 14.08/9.88 tff(19052,plain,
% 14.08/9.88 (~until5(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18054, 294, 19051, 19047])).
% 14.08/9.88 tff(19053,plain,
% 14.08/9.88 (~xuntil6(s224)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18043, 19052])).
% 14.08/9.88 tff(19054,plain,
% 14.08/9.88 (~always3(s224)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17940, 19046])).
% 14.08/9.88 tff(19055,plain,
% 14.08/9.88 (~always3(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17952, 19054])).
% 14.08/9.88 tff(19056,plain,
% 14.08/9.88 (~node4(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18013, 36, 19055])).
% 14.08/9.88 tff(19057,plain,
% 14.08/9.88 (~always3(s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17964, 19055])).
% 14.08/9.88 tff(19058,plain,
% 14.08/9.88 (~always3(s221)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17980, 19057])).
% 14.08/9.88 tff(19059,plain,
% 14.08/9.88 (~node4(s221)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17984, 36, 19058])).
% 14.08/9.88 tff(19060,plain,
% 14.08/9.88 (~always3(s220)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[15896, 19058])).
% 14.08/9.88 tff(19061,plain,
% 14.08/9.88 (xuntil6(s220)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18597, 19060])).
% 14.08/9.88 tff(19062,plain,
% 14.08/9.88 (until5(s221)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17204, 19061])).
% 14.08/9.88 tff(19063,plain,
% 14.08/9.88 (xuntil6(s221) | node4(s221)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17991, 294, 19062])).
% 14.08/9.88 tff(19064,plain,
% 14.08/9.88 (xuntil6(s221)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19063, 19059])).
% 14.08/9.88 tff(19065,plain,
% 14.08/9.88 (until5(s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17997, 19064])).
% 14.08/9.88 tff(19066,plain,
% 14.08/9.88 (xuntil6(s222)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19013, 19065])).
% 14.08/9.88 tff(19067,plain,
% 14.08/9.88 (until5(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18009, 19066])).
% 14.08/9.88 tff(19068,plain,
% 14.08/9.88 (xuntil6(s223)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18020, 294, 19067, 19056])).
% 14.08/9.88 tff(19069,plain,
% 14.08/9.88 (until5(s224)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18026, 19068])).
% 14.08/9.88 tff(19070,plain,
% 14.08/9.88 ($false),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18644, 19069, 19053])).
% 14.08/9.88 tff(19071,plain,(always3(s226) | xuntil6(s226)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.88 tff(19072,plain,
% 14.08/9.88 (always3(s226)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19071, 19044])).
% 14.08/9.88 tff(19073,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s226)) | (~m_main_v_state(s226, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s226)) | (~m_main_v_state(s226, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19074,plain,
% 14.08/9.88 (((~m_main_v_state(s226, c_busy)) | (~always3(s226))) <=> ((~always3(s226)) | (~m_main_v_state(s226, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19075,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s226, c_busy)) | (~always3(s226)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s226)) | (~m_main_v_state(s226, c_busy))))),
% 14.08/9.88 inference(monotonicity,[status(thm)],[19074])).
% 14.08/9.88 tff(19076,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s226, c_busy)) | (~always3(s226)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s226)) | (~m_main_v_state(s226, c_busy)))),
% 14.08/9.88 inference(transitivity,[status(thm)],[19075, 19073])).
% 14.08/9.88 tff(19077,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s226, c_busy)) | (~always3(s226)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19078,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s226)) | (~m_main_v_state(s226, c_busy))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19077, 19076])).
% 14.08/9.88 tff(19079,plain,
% 14.08/9.88 (~m_main_v_state(s226, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19078, 85, 19072])).
% 14.08/9.88 tff(19080,plain,
% 14.08/9.88 (always3(s227)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17916, 19072])).
% 14.08/9.88 tff(19081,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s227)) | (~m_main_v_state(s227, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s227)) | (~m_main_v_state(s227, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19082,plain,
% 14.08/9.88 (((~m_main_v_state(s227, c_busy)) | (~always3(s227))) <=> ((~always3(s227)) | (~m_main_v_state(s227, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19083,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s227, c_busy)) | (~always3(s227)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s227)) | (~m_main_v_state(s227, c_busy))))),
% 14.08/9.88 inference(monotonicity,[status(thm)],[19082])).
% 14.08/9.88 tff(19084,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s227, c_busy)) | (~always3(s227)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s227)) | (~m_main_v_state(s227, c_busy)))),
% 14.08/9.88 inference(transitivity,[status(thm)],[19083, 19081])).
% 14.08/9.88 tff(19085,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s227, c_busy)) | (~always3(s227)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19086,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s227)) | (~m_main_v_state(s227, c_busy))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19085, 19084])).
% 14.08/9.88 tff(19087,plain,
% 14.08/9.88 (~m_main_v_state(s227, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19086, 85, 19080])).
% 14.08/9.88 tff(19088,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19089,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19090,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19089, 19088])).
% 14.08/9.88 tff(19091,plain,
% 14.08/9.88 (m_main_v_state(s226, c_ready)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19090, 102, 19079])).
% 14.08/9.88 tff(19092,plain,
% 14.08/9.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s226, s227)) | node2(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s226, s227)) | node2(s226, s227))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19093,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s226, s227)) | node2(s226, s227))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19094,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s226, s227)) | node2(s226, s227)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19093, 19092])).
% 14.08/9.88 tff(19095,plain,
% 14.08/9.88 (node2(s226, s227)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19094, 7, 17912])).
% 14.08/9.88 tff(19096,plain,
% 14.08/9.88 (((~![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(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19097,plain,
% 14.08/9.88 ((~![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(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19098,plain,
% 14.08/9.88 ((~![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(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19097, 19096])).
% 14.08/9.88 tff(19099,plain,
% 14.08/9.88 ((~m_main_v_state(s226, c_ready)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19098, 73, 19095])).
% 14.08/9.88 tff(19100,plain,
% 14.08/9.88 (~m_main_v_request(s226)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19099, 19091, 19087])).
% 14.08/9.88 tff(19101,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s226) | (~node4(s226)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s226) | (~node4(s226)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19102,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s226) | (~node4(s226)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19103,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s226) | (~node4(s226))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19102, 19101])).
% 14.08/9.88 tff(19104,plain,
% 14.08/9.88 (~node4(s226)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19103, 21, 19100])).
% 14.08/9.88 tff(19105,plain,
% 14.08/9.88 (~until5(s226)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19049, 19104])).
% 14.08/9.88 tff(19106,plain,
% 14.08/9.88 (~xuntil6(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18060, 19105])).
% 14.08/9.88 tff(19107,assumption,(until5(s225)), introduced(assumption)).
% 14.08/9.88 tff(19108,plain,
% 14.08/9.88 (xuntil6(s225) | node4(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18054, 294, 19107])).
% 14.08/9.88 tff(19109,plain,
% 14.08/9.88 (node4(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19108, 19106])).
% 14.08/9.88 tff(19110,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s225) | (~node4(s225)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s225) | (~node4(s225)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19111,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s225) | (~node4(s225)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19112,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s225) | (~node4(s225))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19111, 19110])).
% 14.08/9.88 tff(19113,plain,
% 14.08/9.88 (m_main_v_request(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19112, 21, 19109])).
% 14.08/9.88 tff(19114,plain,
% 14.08/9.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s225, s226)) | node2(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s225, s226)) | node2(s225, s226))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19115,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s225, s226)) | node2(s225, s226))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19116,plain,
% 14.08/9.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s225, s226)) | node2(s225, s226)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19115, 19114])).
% 14.08/9.88 tff(19117,plain,
% 14.08/9.88 (node2(s225, s226)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19116, 7, 17924])).
% 14.08/9.88 tff(19118,plain,
% 14.08/9.88 (((~![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(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19119,plain,
% 14.08/9.88 ((~![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(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19120,plain,
% 14.08/9.88 ((~![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(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19119, 19118])).
% 14.08/9.88 tff(19121,plain,
% 14.08/9.88 ((~m_main_v_state(s225, c_ready)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225))),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19120, 73, 19117])).
% 14.08/9.88 tff(19122,plain,
% 14.08/9.88 (~m_main_v_state(s225, c_ready)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19121, 19113, 19079])).
% 14.08/9.88 tff(19123,plain,
% 14.08/9.88 (always3(s225)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18047, 36, 19109])).
% 14.08/9.88 tff(19124,plain,
% 14.08/9.88 (~m_main_v_state(s225, c_busy)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18621, 85, 19123])).
% 14.08/9.88 tff(19125,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19126,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19127,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready)),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19126, 19125])).
% 14.08/9.88 tff(19128,plain,
% 14.08/9.88 ($false),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19127, 102, 19124, 19122])).
% 14.08/9.88 tff(19129,plain,(xuntil6(s226) | (~until5(s225))), inference(lemma,lemma(discharge,[]))).
% 14.08/9.88 tff(19130,plain,
% 14.08/9.88 (xuntil6(s226)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19129, 19043])).
% 14.08/9.88 tff(19131,plain,
% 14.08/9.88 (until5(s227)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18077, 19130])).
% 14.08/9.88 tff(19132,assumption,(node4(s227)), introduced(assumption)).
% 14.08/9.88 tff(19133,plain,
% 14.08/9.88 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s227) | (~node4(s227)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s227) | (~node4(s227)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19134,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s227) | (~node4(s227)))),
% 14.08/9.88 inference(quant_inst,[status(thm)],[])).
% 14.08/9.88 tff(19135,plain,
% 14.08/9.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s227) | (~node4(s227))),
% 14.08/9.88 inference(modus_ponens,[status(thm)],[19134, 19133])).
% 14.08/9.88 tff(19136,plain,
% 14.08/9.88 (m_main_v_request(s227)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[19135, 21, 19132])).
% 14.08/9.88 tff(19137,plain,
% 14.08/9.88 (always3(s227)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[18081, 36, 19132])).
% 14.08/9.88 tff(19138,plain,
% 14.08/9.88 (always3(s228)),
% 14.08/9.88 inference(unit_resolution,[status(thm)],[17904, 19137])).
% 14.08/9.88 tff(19139,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s228)) | (~m_main_v_state(s228, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s228)) | (~m_main_v_state(s228, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19140,plain,
% 14.08/9.88 (((~m_main_v_state(s228, c_busy)) | (~always3(s228))) <=> ((~always3(s228)) | (~m_main_v_state(s228, c_busy)))),
% 14.08/9.88 inference(rewrite,[status(thm)],[])).
% 14.08/9.88 tff(19141,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s228, c_busy)) | (~always3(s228)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s228)) | (~m_main_v_state(s228, c_busy))))),
% 14.08/9.88 inference(monotonicity,[status(thm)],[19140])).
% 14.08/9.88 tff(19142,plain,
% 14.08/9.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s228, c_busy)) | (~always3(s228)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s228)) | (~m_main_v_state(s228, c_busy)))),
% 14.08/9.88 inference(transitivity,[status(thm)],[19141, 19139])).
% 14.08/9.88 tff(19143,plain,
% 14.08/9.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s228, c_busy)) | (~always3(s228)))),
% 14.08/9.89 inference(quant_inst,[status(thm)],[])).
% 14.08/9.89 tff(19144,plain,
% 14.08/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s228)) | (~m_main_v_state(s228, c_busy))),
% 14.08/9.89 inference(modus_ponens,[status(thm)],[19143, 19142])).
% 14.08/9.89 tff(19145,plain,
% 14.08/9.89 (~m_main_v_state(s228, c_busy)),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[19144, 85, 19138])).
% 14.08/9.89 tff(19146,plain,
% 14.08/9.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s227, s228)) | node2(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s227, s228)) | node2(s227, s228))),
% 14.08/9.89 inference(rewrite,[status(thm)],[])).
% 14.08/9.89 tff(19147,plain,
% 14.08/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s227, s228)) | node2(s227, s228))),
% 14.08/9.89 inference(quant_inst,[status(thm)],[])).
% 14.08/9.89 tff(19148,plain,
% 14.08/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s227, s228)) | node2(s227, s228)),
% 14.08/9.89 inference(modus_ponens,[status(thm)],[19147, 19146])).
% 14.08/9.89 tff(19149,plain,
% 14.08/9.89 (node2(s227, s228)),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[19148, 7, 17900])).
% 14.08/9.89 tff(19150,plain,
% 14.08/9.89 (((~![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(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227)))),
% 14.08/9.89 inference(rewrite,[status(thm)],[])).
% 14.08/9.89 tff(19151,plain,
% 14.08/9.89 ((~![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(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227)))),
% 14.08/9.89 inference(quant_inst,[status(thm)],[])).
% 14.08/9.89 tff(19152,plain,
% 14.08/9.89 ((~![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(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227))),
% 14.08/9.89 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 14.08/9.89 tff(19153,plain,
% 14.08/9.89 ((~m_main_v_state(s227, c_ready)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227))),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[19152, 73, 19149])).
% 14.08/9.89 tff(19154,plain,
% 14.08/9.89 (~m_main_v_state(s227, c_ready)),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[19153, 19145, 19136])).
% 14.08/9.89 tff(19155,plain,
% 14.08/9.89 (~m_main_v_state(s227, c_busy)),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[19086, 85, 19137])).
% 14.08/9.89 tff(19156,plain,
% 14.08/9.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready))),
% 14.08/9.89 inference(rewrite,[status(thm)],[])).
% 14.08/9.89 tff(19157,plain,
% 14.08/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready))),
% 14.08/9.89 inference(quant_inst,[status(thm)],[])).
% 14.08/9.89 tff(19158,plain,
% 14.08/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready)),
% 14.08/9.89 inference(modus_ponens,[status(thm)],[19157, 19156])).
% 14.08/9.89 tff(19159,plain,
% 14.08/9.89 ($false),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[19158, 102, 19155, 19154])).
% 14.08/9.89 tff(19160,plain,(~node4(s227)), inference(lemma,lemma(discharge,[]))).
% 14.08/9.89 tff(19161,plain,
% 14.08/9.89 (xuntil6(s227) | (~until5(s227))),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[18088, 294, 19160])).
% 14.08/9.89 tff(19162,plain,
% 14.08/9.89 (xuntil6(s227)),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[19161, 19131])).
% 14.08/9.89 tff(19163,plain,
% 14.08/9.89 (until5(s228)),
% 14.08/9.89 inference(unit_resolution,[status(thm)],[18094, 19162])).
% 14.08/9.89 tff(19164,assumption,(node4(s228)), introduced(assumption)).
% 14.18/9.89 tff(19165,plain,
% 14.18/9.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s228) | (~node4(s228)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s228) | (~node4(s228)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19166,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s228) | (~node4(s228)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19167,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s228) | (~node4(s228))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19166, 19165])).
% 14.18/9.89 tff(19168,plain,
% 14.18/9.89 (m_main_v_request(s228)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19167, 21, 19164])).
% 14.18/9.89 tff(19169,plain,
% 14.18/9.89 (always3(s228)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18098, 36, 19164])).
% 14.18/9.89 tff(19170,plain,
% 14.18/9.89 (always3(s229)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[17892, 19169])).
% 14.18/9.89 tff(19171,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s229)) | (~m_main_v_state(s229, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s229)) | (~m_main_v_state(s229, c_busy)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19172,plain,
% 14.18/9.89 (((~m_main_v_state(s229, c_busy)) | (~always3(s229))) <=> ((~always3(s229)) | (~m_main_v_state(s229, c_busy)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19173,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s229, c_busy)) | (~always3(s229)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s229)) | (~m_main_v_state(s229, c_busy))))),
% 14.18/9.89 inference(monotonicity,[status(thm)],[19172])).
% 14.18/9.89 tff(19174,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s229, c_busy)) | (~always3(s229)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s229)) | (~m_main_v_state(s229, c_busy)))),
% 14.18/9.89 inference(transitivity,[status(thm)],[19173, 19171])).
% 14.18/9.89 tff(19175,plain,
% 14.18/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s229, c_busy)) | (~always3(s229)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19176,plain,
% 14.18/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s229)) | (~m_main_v_state(s229, c_busy))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19175, 19174])).
% 14.18/9.89 tff(19177,plain,
% 14.18/9.89 (~m_main_v_state(s229, c_busy)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19176, 85, 19170])).
% 14.18/9.89 tff(19178,plain,
% 14.18/9.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s228, s229)) | node2(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s228, s229)) | node2(s228, s229))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19179,plain,
% 14.18/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s228, s229)) | node2(s228, s229))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19180,plain,
% 14.18/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s228, s229)) | node2(s228, s229)),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19179, 19178])).
% 14.18/9.89 tff(19181,plain,
% 14.18/9.89 (node2(s228, s229)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19180, 7, 17888])).
% 14.18/9.89 tff(19182,plain,
% 14.18/9.89 (((~![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(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19183,plain,
% 14.18/9.89 ((~![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(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19184,plain,
% 14.18/9.89 ((~![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(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 14.18/9.89 tff(19185,plain,
% 14.18/9.89 ((~m_main_v_state(s228, c_ready)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228))),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19184, 73, 19181])).
% 14.18/9.89 tff(19186,plain,
% 14.18/9.89 (~m_main_v_state(s228, c_ready)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19185, 19177, 19168])).
% 14.18/9.89 tff(19187,plain,
% 14.18/9.89 (~m_main_v_state(s228, c_busy)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19144, 85, 19169])).
% 14.18/9.89 tff(19188,plain,
% 14.18/9.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19189,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19190,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready)),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 14.18/9.89 tff(19191,plain,
% 14.18/9.89 ($false),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19190, 102, 19187, 19186])).
% 14.18/9.89 tff(19192,plain,(~node4(s228)), inference(lemma,lemma(discharge,[]))).
% 14.18/9.89 tff(19193,plain,
% 14.18/9.89 (xuntil6(s228) | (~until5(s228))),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18105, 294, 19192])).
% 14.18/9.89 tff(19194,plain,
% 14.18/9.89 (xuntil6(s228)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19193, 19163])).
% 14.18/9.89 tff(19195,plain,
% 14.18/9.89 (until5(s229)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18111, 19194])).
% 14.18/9.89 tff(19196,assumption,(node4(s229)), introduced(assumption)).
% 14.18/9.89 tff(19197,plain,
% 14.18/9.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s229) | (~node4(s229)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s229) | (~node4(s229)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19198,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s229) | (~node4(s229)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19199,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s229) | (~node4(s229))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19198, 19197])).
% 14.18/9.89 tff(19200,plain,
% 14.18/9.89 (m_main_v_request(s229)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19199, 21, 19196])).
% 14.18/9.89 tff(19201,plain,
% 14.18/9.89 (always3(s229)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18115, 36, 19196])).
% 14.18/9.89 tff(19202,plain,
% 14.18/9.89 (always3(s230)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[17880, 19201])).
% 14.18/9.89 tff(19203,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s230)) | (~m_main_v_state(s230, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s230)) | (~m_main_v_state(s230, c_busy)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19204,plain,
% 14.18/9.89 (((~m_main_v_state(s230, c_busy)) | (~always3(s230))) <=> ((~always3(s230)) | (~m_main_v_state(s230, c_busy)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19205,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s230, c_busy)) | (~always3(s230)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s230)) | (~m_main_v_state(s230, c_busy))))),
% 14.18/9.89 inference(monotonicity,[status(thm)],[19204])).
% 14.18/9.89 tff(19206,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s230, c_busy)) | (~always3(s230)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s230)) | (~m_main_v_state(s230, c_busy)))),
% 14.18/9.89 inference(transitivity,[status(thm)],[19205, 19203])).
% 14.18/9.89 tff(19207,plain,
% 14.18/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s230, c_busy)) | (~always3(s230)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19208,plain,
% 14.18/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s230)) | (~m_main_v_state(s230, c_busy))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19207, 19206])).
% 14.18/9.89 tff(19209,plain,
% 14.18/9.89 (~m_main_v_state(s230, c_busy)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19208, 85, 19202])).
% 14.18/9.89 tff(19210,plain,
% 14.18/9.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s229, s230)) | node2(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s229, s230)) | node2(s229, s230))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19211,plain,
% 14.18/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s229, s230)) | node2(s229, s230))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19212,plain,
% 14.18/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s229, s230)) | node2(s229, s230)),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19211, 19210])).
% 14.18/9.89 tff(19213,plain,
% 14.18/9.89 (node2(s229, s230)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19212, 7, 17876])).
% 14.18/9.89 tff(19214,plain,
% 14.18/9.89 (((~![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(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19215,plain,
% 14.18/9.89 ((~![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(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19216,plain,
% 14.18/9.89 ((~![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(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19215, 19214])).
% 14.18/9.89 tff(19217,plain,
% 14.18/9.89 ((~m_main_v_state(s229, c_ready)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229))),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19216, 73, 19213])).
% 14.18/9.89 tff(19218,plain,
% 14.18/9.89 (~m_main_v_state(s229, c_ready)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19217, 19209, 19200])).
% 14.18/9.89 tff(19219,plain,
% 14.18/9.89 (~m_main_v_state(s229, c_busy)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19176, 85, 19201])).
% 14.18/9.89 tff(19220,plain,
% 14.18/9.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19221,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19222,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready)),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19221, 19220])).
% 14.18/9.89 tff(19223,plain,
% 14.18/9.89 ($false),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19222, 102, 19219, 19218])).
% 14.18/9.89 tff(19224,plain,(~node4(s229)), inference(lemma,lemma(discharge,[]))).
% 14.18/9.89 tff(19225,plain,
% 14.18/9.89 (xuntil6(s229) | (~until5(s229))),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18122, 294, 19224])).
% 14.18/9.89 tff(19226,plain,
% 14.18/9.89 (xuntil6(s229)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19225, 19195])).
% 14.18/9.89 tff(19227,plain,
% 14.18/9.89 (until5(s230)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18128, 19226])).
% 14.18/9.89 tff(19228,assumption,(node4(s230)), introduced(assumption)).
% 14.18/9.89 tff(19229,plain,
% 14.18/9.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s230) | (~node4(s230)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s230) | (~node4(s230)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19230,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s230) | (~node4(s230)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19231,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s230) | (~node4(s230))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19230, 19229])).
% 14.18/9.89 tff(19232,plain,
% 14.18/9.89 (m_main_v_request(s230)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19231, 21, 19228])).
% 14.18/9.89 tff(19233,plain,
% 14.18/9.89 (always3(s230)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18132, 36, 19228])).
% 14.18/9.89 tff(19234,plain,
% 14.18/9.89 (always3(s231)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[17868, 19233])).
% 14.18/9.89 tff(19235,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s231)) | (~m_main_v_state(s231, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s231)) | (~m_main_v_state(s231, c_busy)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19236,plain,
% 14.18/9.89 (((~m_main_v_state(s231, c_busy)) | (~always3(s231))) <=> ((~always3(s231)) | (~m_main_v_state(s231, c_busy)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19237,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s231, c_busy)) | (~always3(s231)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s231)) | (~m_main_v_state(s231, c_busy))))),
% 14.18/9.89 inference(monotonicity,[status(thm)],[19236])).
% 14.18/9.89 tff(19238,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s231, c_busy)) | (~always3(s231)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s231)) | (~m_main_v_state(s231, c_busy)))),
% 14.18/9.89 inference(transitivity,[status(thm)],[19237, 19235])).
% 14.18/9.89 tff(19239,plain,
% 14.18/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s231, c_busy)) | (~always3(s231)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19240,plain,
% 14.18/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s231)) | (~m_main_v_state(s231, c_busy))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19239, 19238])).
% 14.18/9.89 tff(19241,plain,
% 14.18/9.89 (~m_main_v_state(s231, c_busy)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19240, 85, 19234])).
% 14.18/9.89 tff(19242,plain,
% 14.18/9.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s230, s231)) | node2(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s230, s231)) | node2(s230, s231))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19243,plain,
% 14.18/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s230, s231)) | node2(s230, s231))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19244,plain,
% 14.18/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s230, s231)) | node2(s230, s231)),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19243, 19242])).
% 14.18/9.89 tff(19245,plain,
% 14.18/9.89 (node2(s230, s231)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19244, 7, 17864])).
% 14.18/9.89 tff(19246,plain,
% 14.18/9.89 (((~![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(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19247,plain,
% 14.18/9.89 ((~![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(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19248,plain,
% 14.18/9.89 ((~![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(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 14.18/9.89 tff(19249,plain,
% 14.18/9.89 ((~m_main_v_state(s230, c_ready)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230))),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19248, 73, 19245])).
% 14.18/9.89 tff(19250,plain,
% 14.18/9.89 (~m_main_v_state(s230, c_ready)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19249, 19241, 19232])).
% 14.18/9.89 tff(19251,plain,
% 14.18/9.89 (~m_main_v_state(s230, c_busy)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19208, 85, 19233])).
% 14.18/9.89 tff(19252,plain,
% 14.18/9.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19253,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19254,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready)),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19253, 19252])).
% 14.18/9.89 tff(19255,plain,
% 14.18/9.89 ($false),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19254, 102, 19251, 19250])).
% 14.18/9.89 tff(19256,plain,(~node4(s230)), inference(lemma,lemma(discharge,[]))).
% 14.18/9.89 tff(19257,plain,
% 14.18/9.89 (xuntil6(s230) | (~until5(s230))),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18139, 294, 19256])).
% 14.18/9.89 tff(19258,plain,
% 14.18/9.89 (xuntil6(s230)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19257, 19227])).
% 14.18/9.89 tff(19259,plain,
% 14.18/9.89 (until5(s231)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18145, 19258])).
% 14.18/9.89 tff(19260,assumption,(node4(s231)), introduced(assumption)).
% 14.18/9.89 tff(19261,plain,
% 14.18/9.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s231) | (~node4(s231)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s231) | (~node4(s231)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19262,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s231) | (~node4(s231)))),
% 14.18/9.89 inference(quant_inst,[status(thm)],[])).
% 14.18/9.89 tff(19263,plain,
% 14.18/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s231) | (~node4(s231))),
% 14.18/9.89 inference(modus_ponens,[status(thm)],[19262, 19261])).
% 14.18/9.89 tff(19264,plain,
% 14.18/9.89 (m_main_v_request(s231)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[19263, 21, 19260])).
% 14.18/9.89 tff(19265,plain,
% 14.18/9.89 (always3(s231)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[18149, 36, 19260])).
% 14.18/9.89 tff(19266,plain,
% 14.18/9.89 (always3(s232)),
% 14.18/9.89 inference(unit_resolution,[status(thm)],[17856, 19265])).
% 14.18/9.89 tff(19267,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s232)) | (~m_main_v_state(s232, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s232)) | (~m_main_v_state(s232, c_busy)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19268,plain,
% 14.18/9.89 (((~m_main_v_state(s232, c_busy)) | (~always3(s232))) <=> ((~always3(s232)) | (~m_main_v_state(s232, c_busy)))),
% 14.18/9.89 inference(rewrite,[status(thm)],[])).
% 14.18/9.89 tff(19269,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s232, c_busy)) | (~always3(s232)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s232)) | (~m_main_v_state(s232, c_busy))))),
% 14.18/9.89 inference(monotonicity,[status(thm)],[19268])).
% 14.18/9.89 tff(19270,plain,
% 14.18/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s232, c_busy)) | (~always3(s232)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s232)) | (~m_main_v_state(s232, c_busy)))),
% 14.19/9.89 inference(transitivity,[status(thm)],[19269, 19267])).
% 14.19/9.89 tff(19271,plain,
% 14.19/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s232, c_busy)) | (~always3(s232)))),
% 14.19/9.89 inference(quant_inst,[status(thm)],[])).
% 14.19/9.89 tff(19272,plain,
% 14.19/9.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s232)) | (~m_main_v_state(s232, c_busy))),
% 14.19/9.89 inference(modus_ponens,[status(thm)],[19271, 19270])).
% 14.19/9.89 tff(19273,plain,
% 14.19/9.89 (~m_main_v_state(s232, c_busy)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[19272, 85, 19266])).
% 14.19/9.89 tff(19274,plain,
% 14.19/9.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s231, s232)) | node2(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s231, s232)) | node2(s231, s232))),
% 14.19/9.89 inference(rewrite,[status(thm)],[])).
% 14.19/9.89 tff(19275,plain,
% 14.19/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s231, s232)) | node2(s231, s232))),
% 14.19/9.89 inference(quant_inst,[status(thm)],[])).
% 14.19/9.89 tff(19276,plain,
% 14.19/9.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s231, s232)) | node2(s231, s232)),
% 14.19/9.89 inference(modus_ponens,[status(thm)],[19275, 19274])).
% 14.19/9.89 tff(19277,plain,
% 14.19/9.89 (node2(s231, s232)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[19276, 7, 17852])).
% 14.19/9.89 tff(19278,plain,
% 14.19/9.89 (((~![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(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231)))),
% 14.19/9.89 inference(rewrite,[status(thm)],[])).
% 14.19/9.89 tff(19279,plain,
% 14.19/9.89 ((~![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(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231)))),
% 14.19/9.89 inference(quant_inst,[status(thm)],[])).
% 14.19/9.89 tff(19280,plain,
% 14.19/9.89 ((~![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(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231))),
% 14.19/9.89 inference(modus_ponens,[status(thm)],[19279, 19278])).
% 14.19/9.89 tff(19281,plain,
% 14.19/9.89 ((~m_main_v_state(s231, c_ready)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231))),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[19280, 73, 19277])).
% 14.19/9.89 tff(19282,plain,
% 14.19/9.89 (~m_main_v_state(s231, c_ready)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[19281, 19273, 19264])).
% 14.19/9.89 tff(19283,plain,
% 14.19/9.89 (~m_main_v_state(s231, c_busy)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[19240, 85, 19265])).
% 14.19/9.89 tff(19284,plain,
% 14.19/9.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready))),
% 14.19/9.89 inference(rewrite,[status(thm)],[])).
% 14.19/9.89 tff(19285,plain,
% 14.19/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready))),
% 14.19/9.89 inference(quant_inst,[status(thm)],[])).
% 14.19/9.89 tff(19286,plain,
% 14.19/9.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready)),
% 14.19/9.89 inference(modus_ponens,[status(thm)],[19285, 19284])).
% 14.19/9.89 tff(19287,plain,
% 14.19/9.89 ($false),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[19286, 102, 19283, 19282])).
% 14.19/9.89 tff(19288,plain,(~node4(s231)), inference(lemma,lemma(discharge,[]))).
% 14.19/9.89 tff(19289,plain,
% 14.19/9.89 (xuntil6(s231) | (~until5(s231))),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[18156, 294, 19288])).
% 14.19/9.89 tff(19290,plain,
% 14.19/9.89 (xuntil6(s231)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[19289, 19259])).
% 14.19/9.89 tff(19291,plain,
% 14.19/9.89 (until5(s232)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[18162, 19290])).
% 14.19/9.89 tff(19292,assumption,(node4(s240)), introduced(assumption)).
% 14.19/9.89 tff(19293,plain,
% 14.19/9.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s240) | (~node4(s240)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s240) | (~node4(s240)))),
% 14.19/9.89 inference(rewrite,[status(thm)],[])).
% 14.19/9.89 tff(19294,plain,
% 14.19/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s240) | (~node4(s240)))),
% 14.19/9.89 inference(quant_inst,[status(thm)],[])).
% 14.19/9.89 tff(19295,plain,
% 14.19/9.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s240) | (~node4(s240))),
% 14.19/9.89 inference(modus_ponens,[status(thm)],[19294, 19293])).
% 14.19/9.89 tff(19296,plain,
% 14.19/9.89 (m_main_v_request(s240)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[19295, 21, 19292])).
% 14.19/9.89 tff(19297,plain,
% 14.19/9.89 (always3(s240)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[17655, 36, 19292])).
% 14.19/9.89 tff(19298,plain,
% 14.19/9.89 (always3(s241)),
% 14.19/9.89 inference(unit_resolution,[status(thm)],[17651, 19297])).
% 14.19/9.89 tff(19299,plain,
% 14.19/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s241)) | (~m_main_v_state(s241, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s241)) | (~m_main_v_state(s241, c_busy)))),
% 14.19/9.89 inference(rewrite,[status(thm)],[])).
% 14.19/9.89 tff(19300,plain,
% 14.19/9.89 (((~m_main_v_state(s241, c_busy)) | (~always3(s241))) <=> ((~always3(s241)) | (~m_main_v_state(s241, c_busy)))),
% 14.19/9.89 inference(rewrite,[status(thm)],[])).
% 14.19/9.89 tff(19301,plain,
% 14.19/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s241, c_busy)) | (~always3(s241)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s241)) | (~m_main_v_state(s241, c_busy))))),
% 14.19/9.89 inference(monotonicity,[status(thm)],[19300])).
% 14.19/9.89 tff(19302,plain,
% 14.19/9.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s241, c_busy)) | (~always3(s241)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s241)) | (~m_main_v_state(s241, c_busy)))),
% 14.19/9.90 inference(transitivity,[status(thm)],[19301, 19299])).
% 14.19/9.90 tff(19303,plain,
% 14.19/9.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s241, c_busy)) | (~always3(s241)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19304,plain,
% 14.19/9.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s241)) | (~m_main_v_state(s241, c_busy))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19303, 19302])).
% 14.19/9.90 tff(19305,plain,
% 14.19/9.90 (~m_main_v_state(s241, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19304, 85, 19298])).
% 14.19/9.90 tff(19306,plain,
% 14.19/9.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s240, s241)) | node2(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s240, s241)) | node2(s240, s241))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19307,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s240, s241)) | node2(s240, s241))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19308,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s240, s241)) | node2(s240, s241)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19307, 19306])).
% 14.19/9.90 tff(19309,plain,
% 14.19/9.90 (node2(s240, s241)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19308, 7, 17647])).
% 14.19/9.90 tff(19310,plain,
% 14.19/9.90 (((~![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(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19311,plain,
% 14.19/9.90 ((~![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(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19312,plain,
% 14.19/9.90 ((~![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(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19311, 19310])).
% 14.19/9.90 tff(19313,plain,
% 14.19/9.90 ((~m_main_v_state(s240, c_ready)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240))),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19312, 73, 19309])).
% 14.19/9.90 tff(19314,plain,
% 14.19/9.90 (~m_main_v_state(s240, c_ready)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19313, 19305, 19296])).
% 14.19/9.90 tff(19315,plain,
% 14.19/9.90 (~m_main_v_state(s240, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17696, 85, 19297])).
% 14.19/9.90 tff(19316,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19317,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19318,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19317, 19316])).
% 14.19/9.90 tff(19319,plain,
% 14.19/9.90 ($false),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19318, 102, 19315, 19314])).
% 14.19/9.90 tff(19320,plain,(~node4(s240)), inference(lemma,lemma(discharge,[]))).
% 14.19/9.90 tff(19321,assumption,(node4(s238)), introduced(assumption)).
% 14.19/9.90 tff(19322,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s238) | (~node4(s238)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s238) | (~node4(s238)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19323,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s238) | (~node4(s238)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19324,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s238) | (~node4(s238))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19323, 19322])).
% 14.19/9.90 tff(19325,plain,
% 14.19/9.90 (m_main_v_request(s238)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19324, 21, 19321])).
% 14.19/9.90 tff(19326,plain,
% 14.19/9.90 (always3(s238)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17747, 36, 19321])).
% 14.19/9.90 tff(19327,plain,
% 14.19/9.90 (always3(s239)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17743, 19326])).
% 14.19/9.90 tff(19328,plain,
% 14.19/9.90 (~m_main_v_state(s239, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17712, 85, 19327])).
% 14.19/9.90 tff(19329,plain,
% 14.19/9.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s238, s239)) | node2(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s238, s239)) | node2(s238, s239))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19330,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s238, s239)) | node2(s238, s239))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19331,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s238, s239)) | node2(s238, s239)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19330, 19329])).
% 14.19/9.90 tff(19332,plain,
% 14.19/9.90 (node2(s238, s239)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19331, 7, 17739])).
% 14.19/9.90 tff(19333,plain,
% 14.19/9.90 (((~![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(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19334,plain,
% 14.19/9.90 ((~![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(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19335,plain,
% 14.19/9.90 ((~![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(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19334, 19333])).
% 14.19/9.90 tff(19336,plain,
% 14.19/9.90 ((~m_main_v_state(s238, c_ready)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238))),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19335, 73, 19332])).
% 14.19/9.90 tff(19337,plain,
% 14.19/9.90 (~m_main_v_state(s238, c_ready)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19336, 19328, 19325])).
% 14.19/9.90 tff(19338,plain,
% 14.19/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s238)) | (~m_main_v_state(s238, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s238)) | (~m_main_v_state(s238, c_busy)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19339,plain,
% 14.19/9.90 (((~m_main_v_state(s238, c_busy)) | (~always3(s238))) <=> ((~always3(s238)) | (~m_main_v_state(s238, c_busy)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19340,plain,
% 14.19/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s238, c_busy)) | (~always3(s238)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s238)) | (~m_main_v_state(s238, c_busy))))),
% 14.19/9.90 inference(monotonicity,[status(thm)],[19339])).
% 14.19/9.90 tff(19341,plain,
% 14.19/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s238, c_busy)) | (~always3(s238)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s238)) | (~m_main_v_state(s238, c_busy)))),
% 14.19/9.90 inference(transitivity,[status(thm)],[19340, 19338])).
% 14.19/9.90 tff(19342,plain,
% 14.19/9.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s238, c_busy)) | (~always3(s238)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19343,plain,
% 14.19/9.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s238)) | (~m_main_v_state(s238, c_busy))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19342, 19341])).
% 14.19/9.90 tff(19344,plain,
% 14.19/9.90 (~m_main_v_state(s238, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19343, 85, 19326])).
% 14.19/9.90 tff(19345,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19346,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19347,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19346, 19345])).
% 14.19/9.90 tff(19348,plain,
% 14.19/9.90 ($false),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19347, 102, 19344, 19337])).
% 14.19/9.90 tff(19349,plain,(~node4(s238)), inference(lemma,lemma(discharge,[]))).
% 14.19/9.90 tff(19350,assumption,(node4(s237)), introduced(assumption)).
% 14.19/9.90 tff(19351,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s237) | (~node4(s237)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s237) | (~node4(s237)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19352,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s237) | (~node4(s237)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19353,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s237) | (~node4(s237))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 14.19/9.90 tff(19354,plain,
% 14.19/9.90 (m_main_v_request(s237)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19353, 21, 19350])).
% 14.19/9.90 tff(19355,plain,
% 14.19/9.90 (always3(s237)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17776, 36, 19350])).
% 14.19/9.90 tff(19356,plain,
% 14.19/9.90 (always3(s238)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17772, 19355])).
% 14.19/9.90 tff(19357,plain,
% 14.19/9.90 (~m_main_v_state(s238, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19343, 85, 19356])).
% 14.19/9.90 tff(19358,plain,
% 14.19/9.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s237, s238)) | node2(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s237, s238)) | node2(s237, s238))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19359,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s237, s238)) | node2(s237, s238))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19360,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s237, s238)) | node2(s237, s238)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19359, 19358])).
% 14.19/9.90 tff(19361,plain,
% 14.19/9.90 (node2(s237, s238)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19360, 7, 17768])).
% 14.19/9.90 tff(19362,plain,
% 14.19/9.90 (((~![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(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19363,plain,
% 14.19/9.90 ((~![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(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19364,plain,
% 14.19/9.90 ((~![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(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19363, 19362])).
% 14.19/9.90 tff(19365,plain,
% 14.19/9.90 ((~m_main_v_state(s237, c_ready)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237))),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19364, 73, 19361])).
% 14.19/9.90 tff(19366,plain,
% 14.19/9.90 (~m_main_v_state(s237, c_ready)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19365, 19357, 19354])).
% 14.19/9.90 tff(19367,plain,
% 14.19/9.90 (~m_main_v_state(s237, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18247, 85, 19355])).
% 14.19/9.90 tff(19368,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19369,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19370,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 14.19/9.90 tff(19371,plain,
% 14.19/9.90 ($false),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19370, 102, 19367, 19366])).
% 14.19/9.90 tff(19372,plain,(~node4(s237)), inference(lemma,lemma(discharge,[]))).
% 14.19/9.90 tff(19373,assumption,(node4(s241)), introduced(assumption)).
% 14.19/9.90 tff(19374,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s241) | (~node4(s241)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s241) | (~node4(s241)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19375,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s241) | (~node4(s241)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19376,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s241) | (~node4(s241))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19375, 19374])).
% 14.19/9.90 tff(19377,plain,
% 14.19/9.90 (m_main_v_request(s241)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19376, 21, 19373])).
% 14.19/9.90 tff(19378,plain,
% 14.19/9.90 (always3(s241)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17626, 36, 19373])).
% 14.19/9.90 tff(19379,plain,
% 14.19/9.90 (always3(s242)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17622, 19378])).
% 14.19/9.90 tff(19380,plain,
% 14.19/9.90 (~m_main_v_state(s242, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18516, 85, 19379])).
% 14.19/9.90 tff(19381,plain,
% 14.19/9.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s241, s242)) | node2(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s241, s242)) | node2(s241, s242))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19382,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s241, s242)) | node2(s241, s242))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19383,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s241, s242)) | node2(s241, s242)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19382, 19381])).
% 14.19/9.90 tff(19384,plain,
% 14.19/9.90 (node2(s241, s242)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19383, 7, 17618])).
% 14.19/9.90 tff(19385,plain,
% 14.19/9.90 (((~![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(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19386,plain,
% 14.19/9.90 ((~![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(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19387,plain,
% 14.19/9.90 ((~![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(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19386, 19385])).
% 14.19/9.90 tff(19388,plain,
% 14.19/9.90 ((~m_main_v_state(s241, c_ready)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241))),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19387, 73, 19384])).
% 14.19/9.90 tff(19389,plain,
% 14.19/9.90 (~m_main_v_state(s241, c_ready)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19388, 19380, 19377])).
% 14.19/9.90 tff(19390,plain,
% 14.19/9.90 (~m_main_v_state(s241, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19304, 85, 19378])).
% 14.19/9.90 tff(19391,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19392,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19393,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19392, 19391])).
% 14.19/9.90 tff(19394,plain,
% 14.19/9.90 ($false),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19393, 102, 19390, 19389])).
% 14.19/9.90 tff(19395,plain,(~node4(s241)), inference(lemma,lemma(discharge,[]))).
% 14.19/9.90 tff(19396,assumption,(node4(s234)), introduced(assumption)).
% 14.19/9.90 tff(19397,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s234) | (~node4(s234)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s234) | (~node4(s234)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19398,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s234) | (~node4(s234)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19399,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s234) | (~node4(s234))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19398, 19397])).
% 14.19/9.90 tff(19400,plain,
% 14.19/9.90 (m_main_v_request(s234)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19399, 21, 19396])).
% 14.19/9.90 tff(19401,plain,
% 14.19/9.90 (always3(s234)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18200, 36, 19396])).
% 14.19/9.90 tff(19402,plain,
% 14.19/9.90 (always3(s235)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17820, 19401])).
% 14.19/9.90 tff(19403,plain,
% 14.19/9.90 (~m_main_v_state(s235, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18686, 85, 19402])).
% 14.19/9.90 tff(19404,plain,
% 14.19/9.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s234, s235)) | node2(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s234, s235)) | node2(s234, s235))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19405,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s234, s235)) | node2(s234, s235))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19406,plain,
% 14.19/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s234, s235)) | node2(s234, s235)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 14.19/9.90 tff(19407,plain,
% 14.19/9.90 (node2(s234, s235)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19406, 7, 17816])).
% 14.19/9.90 tff(19408,plain,
% 14.19/9.90 (((~![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(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19409,plain,
% 14.19/9.90 ((~![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(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19410,plain,
% 14.19/9.90 ((~![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(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 14.19/9.90 tff(19411,plain,
% 14.19/9.90 ((~m_main_v_state(s234, c_ready)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234))),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19410, 73, 19407])).
% 14.19/9.90 tff(19412,plain,
% 14.19/9.90 (~m_main_v_state(s234, c_ready)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19411, 19403, 19400])).
% 14.19/9.90 tff(19413,plain,
% 14.19/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s234)) | (~m_main_v_state(s234, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s234)) | (~m_main_v_state(s234, c_busy)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19414,plain,
% 14.19/9.90 (((~m_main_v_state(s234, c_busy)) | (~always3(s234))) <=> ((~always3(s234)) | (~m_main_v_state(s234, c_busy)))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19415,plain,
% 14.19/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s234, c_busy)) | (~always3(s234)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s234)) | (~m_main_v_state(s234, c_busy))))),
% 14.19/9.90 inference(monotonicity,[status(thm)],[19414])).
% 14.19/9.90 tff(19416,plain,
% 14.19/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s234, c_busy)) | (~always3(s234)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s234)) | (~m_main_v_state(s234, c_busy)))),
% 14.19/9.90 inference(transitivity,[status(thm)],[19415, 19413])).
% 14.19/9.90 tff(19417,plain,
% 14.19/9.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s234, c_busy)) | (~always3(s234)))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19418,plain,
% 14.19/9.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s234)) | (~m_main_v_state(s234, c_busy))),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19417, 19416])).
% 14.19/9.90 tff(19419,plain,
% 14.19/9.90 (~m_main_v_state(s234, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19418, 85, 19401])).
% 14.19/9.90 tff(19420,plain,
% 14.19/9.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready))),
% 14.19/9.90 inference(rewrite,[status(thm)],[])).
% 14.19/9.90 tff(19421,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready))),
% 14.19/9.90 inference(quant_inst,[status(thm)],[])).
% 14.19/9.90 tff(19422,plain,
% 14.19/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready)),
% 14.19/9.90 inference(modus_ponens,[status(thm)],[19421, 19420])).
% 14.19/9.90 tff(19423,plain,
% 14.19/9.90 ($false),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19422, 102, 19419, 19412])).
% 14.19/9.90 tff(19424,plain,(~node4(s234)), inference(lemma,lemma(discharge,[]))).
% 14.19/9.90 tff(19425,assumption,(~node4(s234)), introduced(assumption)).
% 14.19/9.90 tff(19426,assumption,(~node4(s237)), introduced(assumption)).
% 14.19/9.90 tff(19427,assumption,(~node4(s243)), introduced(assumption)).
% 14.19/9.90 tff(19428,assumption,(~node4(s238)), introduced(assumption)).
% 14.19/9.90 tff(19429,assumption,(~node4(s241)), introduced(assumption)).
% 14.19/9.90 tff(19430,assumption,(~node4(s240)), introduced(assumption)).
% 14.19/9.90 tff(19431,plain,
% 14.19/9.90 (~until5(s253)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18325, 18599, 17206])).
% 14.19/9.90 tff(19432,plain,
% 14.19/9.90 (~xuntil6(s252)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17252, 19431])).
% 14.19/9.90 tff(19433,plain,
% 14.19/9.90 (~until5(s252)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17298, 19432])).
% 14.19/9.90 tff(19434,plain,
% 14.19/9.90 (~xuntil6(s251)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17303, 19433])).
% 14.19/9.90 tff(19435,plain,
% 14.19/9.90 (~until5(s251)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18353, 19434])).
% 14.19/9.90 tff(19436,plain,
% 14.19/9.90 (~xuntil6(s250)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17318, 19435])).
% 14.19/9.90 tff(19437,plain,
% 14.19/9.90 (~until5(s250)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17372, 19436])).
% 14.19/9.90 tff(19438,plain,
% 14.19/9.90 (~xuntil6(s249)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17380, 19437])).
% 14.19/9.90 tff(19439,plain,
% 14.19/9.90 (~until5(s249)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18387, 19438])).
% 14.19/9.90 tff(19440,plain,
% 14.19/9.90 (~xuntil6(s248)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17410, 19439])).
% 14.19/9.90 tff(19441,plain,
% 14.19/9.90 (always3(s248)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18714, 19440])).
% 14.19/9.90 tff(19442,plain,
% 14.19/9.90 (always3(s249)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17419, 19441])).
% 14.19/9.90 tff(19443,plain,
% 14.19/9.90 (~m_main_v_state(s249, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18380, 85, 19442])).
% 14.19/9.90 tff(19444,plain,
% 14.19/9.90 (~m_main_v_state(s248, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18411, 85, 19441])).
% 14.19/9.90 tff(19445,plain,
% 14.19/9.90 (m_main_v_state(s248, c_ready)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18721, 102, 19444])).
% 14.19/9.90 tff(19446,plain,
% 14.19/9.90 (~m_main_v_request(s248)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18730, 19445, 19443])).
% 14.19/9.90 tff(19447,plain,
% 14.19/9.90 (~node4(s248)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18734, 21, 19446])).
% 14.19/9.90 tff(19448,plain,
% 14.19/9.90 (node4(s248) | (~until5(s248))),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17430, 294, 19440])).
% 14.19/9.90 tff(19449,plain,
% 14.19/9.90 (~until5(s248)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19448, 19447])).
% 14.19/9.90 tff(19450,plain,
% 14.19/9.90 (~xuntil6(s247)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17439, 19449])).
% 14.19/9.90 tff(19451,plain,
% 14.19/9.90 (~until5(s247)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18434, 19450])).
% 14.19/9.90 tff(19452,plain,
% 14.19/9.90 (~xuntil6(s246)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17468, 19451])).
% 14.19/9.90 tff(19453,plain,
% 14.19/9.90 (always3(s246)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18797, 19452])).
% 14.19/9.90 tff(19454,plain,
% 14.19/9.90 (~m_main_v_state(s246, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18804, 85, 19453])).
% 14.19/9.90 tff(19455,plain,
% 14.19/9.90 (always3(s247)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17477, 19453])).
% 14.19/9.90 tff(19456,plain,
% 14.19/9.90 (~m_main_v_state(s247, c_busy)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18427, 85, 19455])).
% 14.19/9.90 tff(19457,plain,
% 14.19/9.90 (m_main_v_state(s246, c_ready)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18810, 102, 19454])).
% 14.19/9.90 tff(19458,plain,
% 14.19/9.90 (~m_main_v_request(s246)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18819, 19457, 19456])).
% 14.19/9.90 tff(19459,plain,
% 14.19/9.90 (~node4(s246)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18823, 21, 19458])).
% 14.19/9.90 tff(19460,plain,
% 14.19/9.90 (node4(s246) | (~until5(s246))),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17488, 294, 19452])).
% 14.19/9.90 tff(19461,plain,
% 14.19/9.90 (~until5(s246)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[19460, 19459])).
% 14.19/9.90 tff(19462,plain,
% 14.19/9.90 (~xuntil6(s245)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17497, 19461])).
% 14.19/9.90 tff(19463,plain,
% 14.19/9.90 (xuntil6(s233)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18658, 18537])).
% 14.19/9.90 tff(19464,plain,
% 14.19/9.90 (until5(s234)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18196, 19463])).
% 14.19/9.90 tff(19465,plain,
% 14.19/9.90 (xuntil6(s234)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18207, 294, 19464, 19425])).
% 14.19/9.90 tff(19466,plain,
% 14.19/9.90 (until5(s235)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18213, 19465])).
% 14.19/9.90 tff(19467,plain,
% 14.19/9.90 (xuntil6(s235)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18693, 19466])).
% 14.19/9.90 tff(19468,plain,
% 14.19/9.90 (until5(s236)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18230, 19467])).
% 14.19/9.90 tff(19469,plain,
% 14.19/9.90 (xuntil6(s236)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18276, 19468])).
% 14.19/9.90 tff(19470,plain,
% 14.19/9.90 (until5(s237)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18281, 19469])).
% 14.19/9.90 tff(19471,plain,
% 14.19/9.90 (xuntil6(s237)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17783, 294, 19470, 19426])).
% 14.19/9.90 tff(19472,plain,
% 14.19/9.90 (until5(s238)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17763, 19471])).
% 14.19/9.90 tff(19473,plain,
% 14.19/9.90 (xuntil6(s238)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17754, 294, 19472, 19428])).
% 14.19/9.90 tff(19474,plain,
% 14.19/9.90 (until5(s239)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17733, 19473])).
% 14.19/9.90 tff(19475,plain,
% 14.19/9.90 (xuntil6(s239)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17725, 19474])).
% 14.19/9.90 tff(19476,plain,
% 14.19/9.90 (until5(s240)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17671, 19475])).
% 14.19/9.90 tff(19477,plain,
% 14.19/9.90 (xuntil6(s240)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17662, 294, 19476, 19430])).
% 14.19/9.90 tff(19478,plain,
% 14.19/9.90 (until5(s241)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17642, 19477])).
% 14.19/9.90 tff(19479,plain,
% 14.19/9.90 (xuntil6(s241)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17633, 294, 19478, 19429])).
% 14.19/9.90 tff(19480,plain,
% 14.19/9.90 (until5(s242)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17613, 19479])).
% 14.19/9.90 tff(19481,plain,
% 14.19/9.90 (xuntil6(s242)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18523, 19480])).
% 14.19/9.90 tff(19482,plain,
% 14.19/9.90 (until5(s243)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17584, 19481])).
% 14.19/9.90 tff(19483,plain,
% 14.19/9.90 (xuntil6(s243)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17575, 294, 19482, 19427])).
% 14.19/9.90 tff(19484,plain,
% 14.19/9.90 (until5(s244)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17555, 19483])).
% 14.19/9.90 tff(19485,plain,
% 14.19/9.90 (xuntil6(s244)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[18479, 19484])).
% 14.19/9.90 tff(19486,plain,
% 14.19/9.90 (until5(s245)),
% 14.19/9.90 inference(unit_resolution,[status(thm)],[17526, 19485])).
% 14.20/9.90 tff(19487,plain,
% 14.20/9.90 (node4(s245)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[17517, 294, 19486, 19462])).
% 14.20/9.90 tff(19488,plain,
% 14.20/9.90 (m_main_v_request(s245)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[18898, 21, 19487])).
% 14.20/9.90 tff(19489,plain,
% 14.20/9.90 (always3(s245)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[18880, 19462])).
% 14.20/9.90 tff(19490,plain,
% 14.20/9.90 (~m_main_v_state(s245, c_busy)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[18456, 85, 19489])).
% 14.20/9.90 tff(19491,plain,
% 14.20/9.90 (m_main_v_state(s245, c_ready)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[18885, 102, 19490])).
% 14.20/9.90 tff(19492,plain,
% 14.20/9.90 ($false),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[18894, 19491, 19488, 19454])).
% 14.20/9.90 tff(19493,plain,(always3(s233) | node4(s243) | node4(s241) | node4(s240) | node4(s238) | node4(s237) | node4(s234) | xuntil6(s253)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.90 tff(19494,plain,
% 14.20/9.90 (always3(s233)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[19493, 17206, 19430, 19429, 19428, 19427, 19425, 19426])).
% 14.20/9.90 tff(19495,plain,
% 14.20/9.90 (always3(s234)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[17832, 19494])).
% 14.20/9.90 tff(19496,plain,
% 14.20/9.90 (~m_main_v_state(s234, c_busy)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[19418, 85, 19495])).
% 14.20/9.90 tff(19497,plain,
% 14.20/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s233)) | (~m_main_v_state(s233, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s233)) | (~m_main_v_state(s233, c_busy)))),
% 14.20/9.90 inference(rewrite,[status(thm)],[])).
% 14.20/9.90 tff(19498,plain,
% 14.20/9.90 (((~m_main_v_state(s233, c_busy)) | (~always3(s233))) <=> ((~always3(s233)) | (~m_main_v_state(s233, c_busy)))),
% 14.20/9.90 inference(rewrite,[status(thm)],[])).
% 14.20/9.90 tff(19499,plain,
% 14.20/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s233, c_busy)) | (~always3(s233)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s233)) | (~m_main_v_state(s233, c_busy))))),
% 14.20/9.90 inference(monotonicity,[status(thm)],[19498])).
% 14.20/9.90 tff(19500,plain,
% 14.20/9.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s233, c_busy)) | (~always3(s233)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s233)) | (~m_main_v_state(s233, c_busy)))),
% 14.20/9.90 inference(transitivity,[status(thm)],[19499, 19497])).
% 14.20/9.90 tff(19501,plain,
% 14.20/9.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s233, c_busy)) | (~always3(s233)))),
% 14.20/9.90 inference(quant_inst,[status(thm)],[])).
% 14.20/9.90 tff(19502,plain,
% 14.20/9.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s233)) | (~m_main_v_state(s233, c_busy))),
% 14.20/9.90 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 14.20/9.90 tff(19503,plain,
% 14.20/9.90 (~m_main_v_state(s233, c_busy)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[19502, 85, 19494])).
% 14.20/9.90 tff(19504,plain,
% 14.20/9.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready))),
% 14.20/9.90 inference(rewrite,[status(thm)],[])).
% 14.20/9.90 tff(19505,plain,
% 14.20/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready))),
% 14.20/9.90 inference(quant_inst,[status(thm)],[])).
% 14.20/9.90 tff(19506,plain,
% 14.20/9.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready)),
% 14.20/9.90 inference(modus_ponens,[status(thm)],[19505, 19504])).
% 14.20/9.90 tff(19507,plain,
% 14.20/9.90 (m_main_v_state(s233, c_ready)),
% 14.20/9.90 inference(unit_resolution,[status(thm)],[19506, 102, 19503])).
% 14.20/9.90 tff(19508,plain,
% 14.20/9.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s233, s234)) | node2(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s233, s234)) | node2(s233, s234))),
% 14.20/9.90 inference(rewrite,[status(thm)],[])).
% 14.20/9.90 tff(19509,plain,
% 14.20/9.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s233, s234)) | node2(s233, s234))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19510,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s233, s234)) | node2(s233, s234)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 14.20/9.91 tff(19511,plain,
% 14.20/9.91 (node2(s233, s234)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19510, 7, 17828])).
% 14.20/9.91 tff(19512,plain,
% 14.20/9.91 (((~![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(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19513,plain,
% 14.20/9.91 ((~![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(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19514,plain,
% 14.20/9.91 ((~![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(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 14.20/9.91 tff(19515,plain,
% 14.20/9.91 ((~m_main_v_state(s233, c_ready)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19514, 73, 19511])).
% 14.20/9.91 tff(19516,plain,
% 14.20/9.91 (~m_main_v_request(s233)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19515, 19507, 19496])).
% 14.20/9.91 tff(19517,plain,
% 14.20/9.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s233) | (~node4(s233)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s233) | (~node4(s233)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19518,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s233) | (~node4(s233)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19519,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s233) | (~node4(s233))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19518, 19517])).
% 14.20/9.91 tff(19520,plain,
% 14.20/9.91 (~node4(s233)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19519, 21, 19516])).
% 14.20/9.91 tff(19521,assumption,(~m_main_v_state(s233, c_busy)), introduced(assumption)).
% 14.20/9.91 tff(19522,assumption,(node4(s232)), introduced(assumption)).
% 14.20/9.91 tff(19523,plain,
% 14.20/9.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s232) | (~node4(s232)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s232) | (~node4(s232)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19524,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s232) | (~node4(s232)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19525,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s232) | (~node4(s232))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 14.20/9.91 tff(19526,plain,
% 14.20/9.91 (m_main_v_request(s232)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19525, 21, 19522])).
% 14.20/9.91 tff(19527,plain,
% 14.20/9.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s232, s233)) | node2(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s232, s233)) | node2(s232, s233))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19528,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s232, s233)) | node2(s232, s233))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19529,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s232, s233)) | node2(s232, s233)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 14.20/9.91 tff(19530,plain,
% 14.20/9.91 (node2(s232, s233)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19529, 7, 17840])).
% 14.20/9.91 tff(19531,plain,
% 14.20/9.91 (((~![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(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19532,plain,
% 14.20/9.91 ((~![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(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19533,plain,
% 14.20/9.91 ((~![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(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 14.20/9.91 tff(19534,plain,
% 14.20/9.91 ((~m_main_v_state(s232, c_ready)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19533, 73, 19530])).
% 14.20/9.91 tff(19535,plain,
% 14.20/9.91 (~m_main_v_state(s232, c_ready)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19534, 19526, 19521])).
% 14.20/9.91 tff(19536,plain,
% 14.20/9.91 (always3(s232)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18166, 36, 19522])).
% 14.20/9.91 tff(19537,plain,
% 14.20/9.91 (~m_main_v_state(s232, c_busy)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19272, 85, 19536])).
% 14.20/9.91 tff(19538,plain,
% 14.20/9.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s232, c_busy) | m_main_v_state(s232, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s232, c_busy) | m_main_v_state(s232, c_ready))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19539,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s232, c_busy) | m_main_v_state(s232, c_ready))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19540,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s232, c_busy) | m_main_v_state(s232, c_ready)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19539, 19538])).
% 14.20/9.91 tff(19541,plain,
% 14.20/9.91 ($false),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19540, 102, 19537, 19535])).
% 14.20/9.91 tff(19542,plain,((~node4(s232)) | m_main_v_state(s233, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.91 tff(19543,plain,
% 14.20/9.91 (~node4(s232)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19542, 19503])).
% 14.20/9.91 tff(19544,assumption,(until5(s232)), introduced(assumption)).
% 14.20/9.91 tff(19545,plain,
% 14.20/9.91 (xuntil6(s232) | node4(s232)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18173, 294, 19544])).
% 14.20/9.91 tff(19546,plain,
% 14.20/9.91 (xuntil6(s232)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19545, 19543])).
% 14.20/9.91 tff(19547,plain,
% 14.20/9.91 (until5(s233)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18179, 19546])).
% 14.20/9.91 tff(19548,plain,
% 14.20/9.91 (xuntil6(s233) | node4(s233)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18190, 294, 19547])).
% 14.20/9.91 tff(19549,plain,
% 14.20/9.91 (xuntil6(s233)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19548, 19520])).
% 14.20/9.91 tff(19550,plain,
% 14.20/9.91 (until5(s234)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18196, 19549])).
% 14.20/9.91 tff(19551,plain,
% 14.20/9.91 (xuntil6(s234)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18207, 294, 19550, 19425])).
% 14.20/9.91 tff(19552,plain,
% 14.20/9.91 (until5(s235)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18213, 19551])).
% 14.20/9.91 tff(19553,plain,
% 14.20/9.91 (xuntil6(s235)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18693, 19552])).
% 14.20/9.91 tff(19554,plain,
% 14.20/9.91 (until5(s236)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18230, 19553])).
% 14.20/9.91 tff(19555,plain,
% 14.20/9.91 (xuntil6(s236)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18276, 19554])).
% 14.20/9.91 tff(19556,plain,
% 14.20/9.91 (until5(s237)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18281, 19555])).
% 14.20/9.91 tff(19557,plain,
% 14.20/9.91 (xuntil6(s237) | (~until5(s237))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17783, 294, 19426])).
% 14.20/9.91 tff(19558,plain,
% 14.20/9.91 (xuntil6(s237)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19557, 19556])).
% 14.20/9.91 tff(19559,plain,
% 14.20/9.91 (until5(s238)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17763, 19558])).
% 14.20/9.91 tff(19560,plain,
% 14.20/9.91 (xuntil6(s238) | (~until5(s238))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17754, 294, 19428])).
% 14.20/9.91 tff(19561,plain,
% 14.20/9.91 (xuntil6(s238)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19560, 19559])).
% 14.20/9.91 tff(19562,assumption,(~node4(s245)), introduced(assumption)).
% 14.20/9.91 tff(19563,assumption,(~node4(s246)), introduced(assumption)).
% 14.20/9.91 tff(19564,assumption,(~node4(s248)), introduced(assumption)).
% 14.20/9.91 tff(19565,plain,
% 14.20/9.91 (~until5(s253)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18325, 17206, 17207])).
% 14.20/9.91 tff(19566,plain,
% 14.20/9.91 (~xuntil6(s252)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17252, 19565])).
% 14.20/9.91 tff(19567,plain,
% 14.20/9.91 (~until5(s252)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17298, 19566])).
% 14.20/9.91 tff(19568,plain,
% 14.20/9.91 (~xuntil6(s251)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17303, 19567])).
% 14.20/9.91 tff(19569,plain,
% 14.20/9.91 (~until5(s251)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18353, 19568])).
% 14.20/9.91 tff(19570,plain,
% 14.20/9.91 (~xuntil6(s250)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17318, 19569])).
% 14.20/9.91 tff(19571,plain,
% 14.20/9.91 (~until5(s250)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17372, 19570])).
% 14.20/9.91 tff(19572,plain,
% 14.20/9.91 (~xuntil6(s249)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17380, 19571])).
% 14.20/9.91 tff(19573,plain,
% 14.20/9.91 (~until5(s249)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18387, 19572])).
% 14.20/9.91 tff(19574,plain,
% 14.20/9.91 (~xuntil6(s248)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17410, 19573])).
% 14.20/9.91 tff(19575,plain,
% 14.20/9.91 (~until5(s248)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17430, 294, 19574, 19564])).
% 14.20/9.91 tff(19576,plain,
% 14.20/9.91 (~xuntil6(s247)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17439, 19575])).
% 14.20/9.91 tff(19577,plain,
% 14.20/9.91 (~until5(s247)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18434, 19576])).
% 14.20/9.91 tff(19578,plain,
% 14.20/9.91 (~xuntil6(s246)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17468, 19577])).
% 14.20/9.91 tff(19579,plain,
% 14.20/9.91 (~until5(s246)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17488, 294, 19578, 19563])).
% 14.20/9.91 tff(19580,plain,
% 14.20/9.91 (~xuntil6(s245)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17497, 19579])).
% 14.20/9.91 tff(19581,plain,
% 14.20/9.91 (~until5(s245)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17517, 294, 19580, 19562])).
% 14.20/9.91 tff(19582,plain,
% 14.20/9.91 (~xuntil6(s244)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17526, 19581])).
% 14.20/9.91 tff(19583,plain,
% 14.20/9.91 (~until5(s244)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18479, 19582])).
% 14.20/9.91 tff(19584,plain,
% 14.20/9.91 (~xuntil6(s243)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17555, 19583])).
% 14.20/9.91 tff(19585,plain,
% 14.20/9.91 (~until5(s243)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17575, 294, 19584, 19427])).
% 14.20/9.91 tff(19586,plain,
% 14.20/9.91 (~xuntil6(s242)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17584, 19585])).
% 14.20/9.91 tff(19587,plain,
% 14.20/9.91 (~until5(s242)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18523, 19586])).
% 14.20/9.91 tff(19588,plain,
% 14.20/9.91 (~xuntil6(s241)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17613, 19587])).
% 14.20/9.91 tff(19589,plain,
% 14.20/9.91 (xuntil6(s241) | (~until5(s241))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17633, 294, 19429])).
% 14.20/9.91 tff(19590,plain,
% 14.20/9.91 (~until5(s241)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19589, 19588])).
% 14.20/9.91 tff(19591,plain,
% 14.20/9.91 (~xuntil6(s240)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17642, 19590])).
% 14.20/9.91 tff(19592,plain,
% 14.20/9.91 (xuntil6(s240) | (~until5(s240))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17662, 294, 19430])).
% 14.20/9.91 tff(19593,plain,
% 14.20/9.91 (~until5(s240)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19592, 19591])).
% 14.20/9.91 tff(19594,plain,
% 14.20/9.91 (~xuntil6(s239)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17671, 19593])).
% 14.20/9.91 tff(19595,plain,
% 14.20/9.91 (~until5(s239)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17725, 19594])).
% 14.20/9.91 tff(19596,plain,
% 14.20/9.91 ($false),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17733, 19595, 19561])).
% 14.20/9.91 tff(19597,plain,(xuntil6(s253) | node4(s238) | node4(s240) | node4(s237) | node4(s241) | node4(s243) | node4(s234) | node4(s245) | node4(s246) | (~until5(s232)) | node4(s248) | (~until5(s221))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.91 tff(19598,plain,
% 14.20/9.91 (node4(s243)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19597, 18899, 19424, 19395, 19372, 19349, 19320, 17206, 17207, 19291, 18824, 18735])).
% 14.20/9.91 tff(19599,plain,
% 14.20/9.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s243) | (~node4(s243)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s243) | (~node4(s243)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19600,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s243) | (~node4(s243)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19601,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s243) | (~node4(s243))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19600, 19599])).
% 14.20/9.91 tff(19602,plain,
% 14.20/9.91 (m_main_v_request(s243)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19601, 21, 19598])).
% 14.20/9.91 tff(19603,plain,
% 14.20/9.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s243, s244)) | node2(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s243, s244)) | node2(s243, s244))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19604,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s243, s244)) | node2(s243, s244))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19605,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s243, s244)) | node2(s243, s244)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19604, 19603])).
% 14.20/9.91 tff(19606,plain,
% 14.20/9.91 (node2(s243, s244)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19605, 7, 17560])).
% 14.20/9.91 tff(19607,plain,
% 14.20/9.91 (((~![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(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19608,plain,
% 14.20/9.91 ((~![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(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19609,plain,
% 14.20/9.91 ((~![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(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 14.20/9.91 tff(19610,plain,
% 14.20/9.91 ((~m_main_v_state(s243, c_ready)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19609, 73, 19606])).
% 14.20/9.91 tff(19611,plain,
% 14.20/9.91 (~m_main_v_state(s243, c_ready)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19610, 19602, 18951])).
% 14.20/9.91 tff(19612,plain,
% 14.20/9.91 (~m_main_v_state(s243, c_busy)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18500, 85, 18949])).
% 14.20/9.91 tff(19613,plain,
% 14.20/9.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19614,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19615,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19614, 19613])).
% 14.20/9.91 tff(19616,plain,
% 14.20/9.91 ($false),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19615, 102, 19612, 19611])).
% 14.20/9.91 tff(19617,plain,((~until5(s221)) | xuntil6(s253)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.91 tff(19618,plain,
% 14.20/9.91 (xuntil6(s253)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19617, 17205])).
% 14.20/9.91 tff(19619,plain,
% 14.20/9.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19620,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19621,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19620, 19619])).
% 14.20/9.91 tff(19622,plain,
% 14.20/9.91 ((~xuntil6(s253)) | until5(s254)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19621, 18287, 312])).
% 14.20/9.91 tff(19623,plain,
% 14.20/9.91 (until5(s254)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19622, 19618])).
% 14.20/9.91 tff(19624,assumption,(node4(s254)), introduced(assumption)).
% 14.20/9.91 tff(19625,plain,
% 14.20/9.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s254) | (~node4(s254)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s254) | (~node4(s254)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19626,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s254) | (~node4(s254)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19627,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s254) | (~node4(s254))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19626, 19625])).
% 14.20/9.91 tff(19628,plain,
% 14.20/9.91 (m_main_v_request(s254)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19627, 21, 19624])).
% 14.20/9.91 tff(19629,plain,
% 14.20/9.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s254) | (~node4(s254)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s254) | (~node4(s254)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19630,plain,
% 14.20/9.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s254) | (~node4(s254)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19631,plain,
% 14.20/9.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s254) | (~node4(s254))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 14.20/9.91 tff(19632,plain,
% 14.20/9.91 (always3(s254)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19631, 36, 19624])).
% 14.20/9.91 tff(19633,plain,
% 14.20/9.91 (succ(s254, s255) <=> succ(s254, s255)),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19634,axiom,(succ(s254, s255)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound255')).
% 14.20/9.91 tff(19635,plain,
% 14.20/9.91 (succ(s254, s255)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19634, 19633])).
% 14.20/9.91 tff(19636,plain,
% 14.20/9.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19637,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19638,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19637, 19636])).
% 14.20/9.91 tff(19639,plain,
% 14.20/9.91 (trans(s254, s255)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19638, 19635, 52])).
% 14.20/9.91 tff(19640,plain,
% 14.20/9.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s254, s255)) | (~always3(s254)) | always3(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s254, s255)) | (~always3(s254)) | always3(s255))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19641,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s254, s255)) | (~always3(s254)) | always3(s255))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19642,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s254, s255)) | (~always3(s254)) | always3(s255)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19641, 19640])).
% 14.20/9.91 tff(19643,plain,
% 14.20/9.91 ((~always3(s254)) | always3(s255)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19642, 125, 19639])).
% 14.20/9.91 tff(19644,plain,
% 14.20/9.91 (always3(s255)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19643, 19632])).
% 14.20/9.91 tff(19645,plain,
% 14.20/9.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s255)) | (~m_main_v_state(s255, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s255)) | (~m_main_v_state(s255, c_busy)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19646,plain,
% 14.20/9.91 (((~m_main_v_state(s255, c_busy)) | (~always3(s255))) <=> ((~always3(s255)) | (~m_main_v_state(s255, c_busy)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19647,plain,
% 14.20/9.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s255, c_busy)) | (~always3(s255)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s255)) | (~m_main_v_state(s255, c_busy))))),
% 14.20/9.91 inference(monotonicity,[status(thm)],[19646])).
% 14.20/9.91 tff(19648,plain,
% 14.20/9.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s255, c_busy)) | (~always3(s255)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s255)) | (~m_main_v_state(s255, c_busy)))),
% 14.20/9.91 inference(transitivity,[status(thm)],[19647, 19645])).
% 14.20/9.91 tff(19649,plain,
% 14.20/9.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s255, c_busy)) | (~always3(s255)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19650,plain,
% 14.20/9.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s255)) | (~m_main_v_state(s255, c_busy))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19649, 19648])).
% 14.20/9.91 tff(19651,plain,
% 14.20/9.91 (~m_main_v_state(s255, c_busy)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19650, 85, 19644])).
% 14.20/9.91 tff(19652,plain,
% 14.20/9.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s254, s255)) | node2(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s254, s255)) | node2(s254, s255))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19653,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s254, s255)) | node2(s254, s255))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19654,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s254, s255)) | node2(s254, s255)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19653, 19652])).
% 14.20/9.91 tff(19655,plain,
% 14.20/9.91 (node2(s254, s255)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19654, 7, 19639])).
% 14.20/9.91 tff(19656,plain,
% 14.20/9.91 (((~![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(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19657,plain,
% 14.20/9.91 ((~![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(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19658,plain,
% 14.20/9.91 ((~![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(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19657, 19656])).
% 14.20/9.91 tff(19659,plain,
% 14.20/9.91 ((~m_main_v_state(s254, c_ready)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19658, 73, 19655])).
% 14.20/9.91 tff(19660,plain,
% 14.20/9.91 (~m_main_v_state(s254, c_ready)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19659, 19651, 19628])).
% 14.20/9.91 tff(19661,plain,
% 14.20/9.91 (~m_main_v_state(s254, c_busy)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18302, 85, 19632])).
% 14.20/9.91 tff(19662,plain,
% 14.20/9.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19663,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19664,plain,
% 14.20/9.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19663, 19662])).
% 14.20/9.91 tff(19665,plain,
% 14.20/9.91 ($false),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19664, 102, 19661, 19660])).
% 14.20/9.91 tff(19666,plain,(~node4(s254)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.91 tff(19667,plain,
% 14.20/9.91 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s254) | node4(s254) | (~until5(s254)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s254) | node4(s254) | (~until5(s254)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19668,plain,
% 14.20/9.91 ((node4(s254) | (~until5(s254)) | xuntil6(s254)) <=> (xuntil6(s254) | node4(s254) | (~until5(s254)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19669,plain,
% 14.20/9.91 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s254) | (~until5(s254)) | xuntil6(s254))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s254) | node4(s254) | (~until5(s254))))),
% 14.20/9.91 inference(monotonicity,[status(thm)],[19668])).
% 14.20/9.91 tff(19670,plain,
% 14.20/9.91 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s254) | (~until5(s254)) | xuntil6(s254))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s254) | node4(s254) | (~until5(s254)))),
% 14.20/9.91 inference(transitivity,[status(thm)],[19669, 19667])).
% 14.20/9.91 tff(19671,plain,
% 14.20/9.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s254) | (~until5(s254)) | xuntil6(s254))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19672,plain,
% 14.20/9.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s254) | node4(s254) | (~until5(s254))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19671, 19670])).
% 14.20/9.91 tff(19673,plain,
% 14.20/9.91 (xuntil6(s254) | (~until5(s254))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19672, 294, 19666])).
% 14.20/9.91 tff(19674,plain,
% 14.20/9.91 (xuntil6(s254)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19673, 19623])).
% 14.20/9.91 tff(19675,plain,
% 14.20/9.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19676,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19677,plain,
% 14.20/9.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255)),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19676, 19675])).
% 14.20/9.91 tff(19678,plain,
% 14.20/9.91 ((~xuntil6(s254)) | until5(s255)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19677, 19635, 312])).
% 14.20/9.91 tff(19679,plain,
% 14.20/9.91 (until5(s255)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19678, 19674])).
% 14.20/9.91 tff(19680,assumption,(~xuntil6(s255)), introduced(assumption)).
% 14.20/9.91 tff(19681,assumption,(~always3(s255)), introduced(assumption)).
% 14.20/9.91 tff(19682,plain,
% 14.20/9.91 (~always3(s254)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19643, 19681])).
% 14.20/9.91 tff(19683,plain,
% 14.20/9.91 (~always3(s253)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[18295, 19682])).
% 14.20/9.91 tff(19684,plain,
% 14.20/9.91 (~node4(s253)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17239, 36, 19683])).
% 14.20/9.91 tff(19685,plain,
% 14.20/9.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s255) | (~node4(s255)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s255) | (~node4(s255)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19686,plain,
% 14.20/9.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s255) | (~node4(s255)))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19687,plain,
% 14.20/9.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s255) | (~node4(s255))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19686, 19685])).
% 14.20/9.91 tff(19688,plain,
% 14.20/9.91 (~node4(s255)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19687, 36, 19681])).
% 14.20/9.91 tff(19689,plain,
% 14.20/9.91 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s255) | node4(s255) | (~until5(s255)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s255) | node4(s255) | (~until5(s255)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19690,plain,
% 14.20/9.91 ((node4(s255) | (~until5(s255)) | xuntil6(s255)) <=> (xuntil6(s255) | node4(s255) | (~until5(s255)))),
% 14.20/9.91 inference(rewrite,[status(thm)],[])).
% 14.20/9.91 tff(19691,plain,
% 14.20/9.91 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s255) | (~until5(s255)) | xuntil6(s255))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s255) | node4(s255) | (~until5(s255))))),
% 14.20/9.91 inference(monotonicity,[status(thm)],[19690])).
% 14.20/9.91 tff(19692,plain,
% 14.20/9.91 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s255) | (~until5(s255)) | xuntil6(s255))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s255) | node4(s255) | (~until5(s255)))),
% 14.20/9.91 inference(transitivity,[status(thm)],[19691, 19689])).
% 14.20/9.91 tff(19693,plain,
% 14.20/9.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s255) | (~until5(s255)) | xuntil6(s255))),
% 14.20/9.91 inference(quant_inst,[status(thm)],[])).
% 14.20/9.91 tff(19694,plain,
% 14.20/9.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s255) | node4(s255) | (~until5(s255))),
% 14.20/9.91 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 14.20/9.91 tff(19695,plain,
% 14.20/9.91 (node4(s255) | (~until5(s255))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19694, 294, 19680])).
% 14.20/9.91 tff(19696,plain,
% 14.20/9.91 (~until5(s255)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19695, 19688])).
% 14.20/9.91 tff(19697,plain,
% 14.20/9.91 (~xuntil6(s254)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19678, 19696])).
% 14.20/9.91 tff(19698,plain,
% 14.20/9.91 (~until5(s254)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19673, 19697])).
% 14.20/9.91 tff(19699,plain,
% 14.20/9.91 (~xuntil6(s253)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19622, 19698])).
% 14.20/9.91 tff(19700,plain,
% 14.20/9.91 (~until5(s253)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17246, 294, 19699, 19684])).
% 14.20/9.91 tff(19701,plain,
% 14.20/9.91 (~xuntil6(s252)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17252, 19700])).
% 14.20/9.91 tff(19702,plain,
% 14.20/9.91 (~until5(s252)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17298, 19701])).
% 14.20/9.91 tff(19703,plain,
% 14.20/9.91 (~xuntil6(s251)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17303, 19702])).
% 14.20/9.91 tff(19704,plain,
% 14.20/9.91 (~always3(s252)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17219, 19683])).
% 14.20/9.91 tff(19705,plain,
% 14.20/9.91 (~always3(s251)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17231, 19704])).
% 14.20/9.91 tff(19706,plain,
% 14.20/9.91 (~node4(s251)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17235, 36, 19705])).
% 14.20/9.91 tff(19707,plain,
% 14.20/9.91 (xuntil6(s251) | (~until5(s251))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17310, 294, 19706])).
% 14.20/9.91 tff(19708,plain,
% 14.20/9.91 (~until5(s251)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19707, 19703])).
% 14.20/9.91 tff(19709,plain,
% 14.20/9.91 (~xuntil6(s250)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17318, 19708])).
% 14.20/9.91 tff(19710,plain,
% 14.20/9.91 (~until5(s250)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17372, 19709])).
% 14.20/9.91 tff(19711,plain,
% 14.20/9.91 (~xuntil6(s249)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17380, 19710])).
% 14.20/9.91 tff(19712,plain,
% 14.20/9.91 (~always3(s250)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17336, 19705])).
% 14.20/9.91 tff(19713,plain,
% 14.20/9.91 (~always3(s249)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17390, 19712])).
% 14.20/9.91 tff(19714,plain,
% 14.20/9.91 (~node4(s249)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17394, 36, 19713])).
% 14.20/9.91 tff(19715,plain,
% 14.20/9.91 (xuntil6(s249) | (~until5(s249))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17401, 294, 19714])).
% 14.20/9.91 tff(19716,plain,
% 14.20/9.91 (~until5(s249)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19715, 19711])).
% 14.20/9.91 tff(19717,plain,
% 14.20/9.91 (~xuntil6(s248)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17410, 19716])).
% 14.20/9.91 tff(19718,plain,
% 14.20/9.91 (~always3(s248)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17419, 19713])).
% 14.20/9.91 tff(19719,plain,
% 14.20/9.91 (~node4(s248)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17423, 36, 19718])).
% 14.20/9.91 tff(19720,plain,
% 14.20/9.91 (xuntil6(s248) | (~until5(s248))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17430, 294, 19719])).
% 14.20/9.91 tff(19721,plain,
% 14.20/9.91 (~until5(s248)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19720, 19717])).
% 14.20/9.91 tff(19722,plain,
% 14.20/9.91 (~xuntil6(s247)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17439, 19721])).
% 14.20/9.91 tff(19723,plain,
% 14.20/9.91 (~always3(s247)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17448, 19718])).
% 14.20/9.91 tff(19724,plain,
% 14.20/9.91 (~node4(s247)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17452, 36, 19723])).
% 14.20/9.91 tff(19725,plain,
% 14.20/9.91 (xuntil6(s247) | (~until5(s247))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17459, 294, 19724])).
% 14.20/9.91 tff(19726,plain,
% 14.20/9.91 (~until5(s247)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19725, 19722])).
% 14.20/9.91 tff(19727,plain,
% 14.20/9.91 (~xuntil6(s246)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17468, 19726])).
% 14.20/9.91 tff(19728,plain,
% 14.20/9.91 (~always3(s246)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17477, 19723])).
% 14.20/9.91 tff(19729,plain,
% 14.20/9.91 (~node4(s246)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17481, 36, 19728])).
% 14.20/9.91 tff(19730,plain,
% 14.20/9.91 (xuntil6(s246) | (~until5(s246))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17488, 294, 19729])).
% 14.20/9.91 tff(19731,plain,
% 14.20/9.91 (~until5(s246)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19730, 19727])).
% 14.20/9.91 tff(19732,plain,
% 14.20/9.91 (~xuntil6(s245)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17497, 19731])).
% 14.20/9.91 tff(19733,plain,
% 14.20/9.91 (~always3(s245)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17506, 19728])).
% 14.20/9.91 tff(19734,plain,
% 14.20/9.91 (~node4(s245)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17510, 36, 19733])).
% 14.20/9.91 tff(19735,plain,
% 14.20/9.91 (xuntil6(s245) | (~until5(s245))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17517, 294, 19734])).
% 14.20/9.91 tff(19736,plain,
% 14.20/9.91 (~until5(s245)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19735, 19732])).
% 14.20/9.91 tff(19737,plain,
% 14.20/9.91 (~xuntil6(s244)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17526, 19736])).
% 14.20/9.91 tff(19738,plain,
% 14.20/9.91 (~always3(s244)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17535, 19733])).
% 14.20/9.91 tff(19739,plain,
% 14.20/9.91 (~node4(s244)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17539, 36, 19738])).
% 14.20/9.91 tff(19740,plain,
% 14.20/9.91 (xuntil6(s244) | (~until5(s244))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17546, 294, 19739])).
% 14.20/9.91 tff(19741,plain,
% 14.20/9.91 (~until5(s244)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19740, 19737])).
% 14.20/9.91 tff(19742,plain,
% 14.20/9.91 (~xuntil6(s243)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17555, 19741])).
% 14.20/9.91 tff(19743,plain,
% 14.20/9.91 (~always3(s243)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17564, 19738])).
% 14.20/9.91 tff(19744,plain,
% 14.20/9.91 (~node4(s243)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17568, 36, 19743])).
% 14.20/9.91 tff(19745,plain,
% 14.20/9.91 (xuntil6(s243) | (~until5(s243))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17575, 294, 19744])).
% 14.20/9.91 tff(19746,plain,
% 14.20/9.91 (~until5(s243)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19745, 19742])).
% 14.20/9.91 tff(19747,plain,
% 14.20/9.91 (~xuntil6(s242)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17584, 19746])).
% 14.20/9.91 tff(19748,plain,
% 14.20/9.91 (~always3(s242)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17593, 19743])).
% 14.20/9.91 tff(19749,plain,
% 14.20/9.91 (~node4(s242)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17597, 36, 19748])).
% 14.20/9.91 tff(19750,plain,
% 14.20/9.91 (xuntil6(s242) | (~until5(s242))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17604, 294, 19749])).
% 14.20/9.91 tff(19751,plain,
% 14.20/9.91 (~until5(s242)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19750, 19747])).
% 14.20/9.91 tff(19752,plain,
% 14.20/9.91 (~xuntil6(s241)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17613, 19751])).
% 14.20/9.91 tff(19753,plain,
% 14.20/9.91 (~always3(s241)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17622, 19748])).
% 14.20/9.91 tff(19754,plain,
% 14.20/9.91 (~node4(s241)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17626, 36, 19753])).
% 14.20/9.91 tff(19755,plain,
% 14.20/9.91 (xuntil6(s241) | (~until5(s241))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17633, 294, 19754])).
% 14.20/9.91 tff(19756,plain,
% 14.20/9.91 (~until5(s241)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19755, 19752])).
% 14.20/9.91 tff(19757,plain,
% 14.20/9.91 (~xuntil6(s240)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17642, 19756])).
% 14.20/9.91 tff(19758,plain,
% 14.20/9.91 (~always3(s240)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17651, 19753])).
% 14.20/9.91 tff(19759,plain,
% 14.20/9.91 (~node4(s240)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17655, 36, 19758])).
% 14.20/9.91 tff(19760,plain,
% 14.20/9.91 (xuntil6(s240) | (~until5(s240))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17662, 294, 19759])).
% 14.20/9.91 tff(19761,plain,
% 14.20/9.91 (~until5(s240)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19760, 19757])).
% 14.20/9.91 tff(19762,plain,
% 14.20/9.91 (~xuntil6(s239)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17671, 19761])).
% 14.20/9.91 tff(19763,plain,
% 14.20/9.91 (~until5(s239)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17725, 19762])).
% 14.20/9.91 tff(19764,plain,
% 14.20/9.91 (~xuntil6(s238)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17733, 19763])).
% 14.20/9.91 tff(19765,plain,
% 14.20/9.91 (~always3(s239)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17689, 19758])).
% 14.20/9.91 tff(19766,plain,
% 14.20/9.91 (~always3(s238)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17743, 19765])).
% 14.20/9.91 tff(19767,plain,
% 14.20/9.91 (~node4(s238)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17747, 36, 19766])).
% 14.20/9.91 tff(19768,plain,
% 14.20/9.91 (xuntil6(s238) | (~until5(s238))),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17754, 294, 19767])).
% 14.20/9.91 tff(19769,plain,
% 14.20/9.91 (~until5(s238)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[19768, 19764])).
% 14.20/9.91 tff(19770,plain,
% 14.20/9.91 (~always3(s237)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17772, 19766])).
% 14.20/9.91 tff(19771,plain,
% 14.20/9.91 (~always3(s236)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17796, 19770])).
% 14.20/9.91 tff(19772,plain,
% 14.20/9.91 (~always3(s235)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17808, 19771])).
% 14.20/9.91 tff(19773,plain,
% 14.20/9.91 (~always3(s234)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17820, 19772])).
% 14.20/9.91 tff(19774,plain,
% 14.20/9.91 (~always3(s233)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17832, 19773])).
% 14.20/9.91 tff(19775,plain,
% 14.20/9.91 (~always3(s232)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17844, 19774])).
% 14.20/9.91 tff(19776,plain,
% 14.20/9.91 (~always3(s231)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17856, 19775])).
% 14.20/9.91 tff(19777,plain,
% 14.20/9.91 (~always3(s230)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17868, 19776])).
% 14.20/9.91 tff(19778,plain,
% 14.20/9.91 (~always3(s229)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17880, 19777])).
% 14.20/9.91 tff(19779,plain,
% 14.20/9.91 (~always3(s228)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17892, 19778])).
% 14.20/9.91 tff(19780,plain,
% 14.20/9.91 (~always3(s227)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17904, 19779])).
% 14.20/9.91 tff(19781,plain,
% 14.20/9.91 (~always3(s226)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17916, 19780])).
% 14.20/9.91 tff(19782,plain,
% 14.20/9.91 (~always3(s225)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17928, 19781])).
% 14.20/9.91 tff(19783,plain,
% 14.20/9.91 (~always3(s224)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17940, 19782])).
% 14.20/9.91 tff(19784,plain,
% 14.20/9.91 (~always3(s223)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17952, 19783])).
% 14.20/9.91 tff(19785,plain,
% 14.20/9.91 (~always3(s222)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17964, 19784])).
% 14.20/9.91 tff(19786,plain,
% 14.20/9.91 (~node4(s222)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17968, 36, 19785])).
% 14.20/9.91 tff(19787,plain,
% 14.20/9.91 (~always3(s221)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17980, 19785])).
% 14.20/9.91 tff(19788,plain,
% 14.20/9.91 (~node4(s221)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17984, 36, 19787])).
% 14.20/9.91 tff(19789,plain,
% 14.20/9.91 (xuntil6(s221)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17992, 19788])).
% 14.20/9.91 tff(19790,plain,
% 14.20/9.91 (until5(s222)),
% 14.20/9.91 inference(unit_resolution,[status(thm)],[17997, 19789])).
% 14.20/9.91 tff(19791,plain,
% 14.20/9.91 (xuntil6(s222)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18004, 294, 19790, 19786])).
% 14.20/9.92 tff(19792,plain,
% 14.20/9.92 (until5(s223)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18009, 19791])).
% 14.20/9.92 tff(19793,plain,
% 14.20/9.92 (~node4(s223)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18013, 36, 19784])).
% 14.20/9.92 tff(19794,plain,
% 14.20/9.92 (xuntil6(s223) | (~until5(s223))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18020, 294, 19793])).
% 14.20/9.92 tff(19795,plain,
% 14.20/9.92 (xuntil6(s223)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19794, 19792])).
% 14.20/9.92 tff(19796,plain,
% 14.20/9.92 (until5(s224)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18026, 19795])).
% 14.20/9.92 tff(19797,plain,
% 14.20/9.92 (~node4(s224)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18030, 36, 19783])).
% 14.20/9.92 tff(19798,plain,
% 14.20/9.92 (xuntil6(s224) | (~until5(s224))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18037, 294, 19797])).
% 14.20/9.92 tff(19799,plain,
% 14.20/9.92 (xuntil6(s224)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19798, 19796])).
% 14.20/9.92 tff(19800,plain,
% 14.20/9.92 (until5(s225)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18043, 19799])).
% 14.20/9.92 tff(19801,plain,
% 14.20/9.92 (~node4(s225)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18047, 36, 19782])).
% 14.20/9.92 tff(19802,plain,
% 14.20/9.92 (xuntil6(s225) | (~until5(s225))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18054, 294, 19801])).
% 14.20/9.92 tff(19803,plain,
% 14.20/9.92 (xuntil6(s225)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19802, 19800])).
% 14.20/9.92 tff(19804,plain,
% 14.20/9.92 (until5(s226)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18060, 19803])).
% 14.20/9.92 tff(19805,plain,
% 14.20/9.92 (~node4(s226)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18064, 36, 19781])).
% 14.20/9.92 tff(19806,plain,
% 14.20/9.92 (xuntil6(s226) | (~until5(s226))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18071, 294, 19805])).
% 14.20/9.92 tff(19807,plain,
% 14.20/9.92 (xuntil6(s226)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19806, 19804])).
% 14.20/9.92 tff(19808,plain,
% 14.20/9.92 (until5(s227)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18077, 19807])).
% 14.20/9.92 tff(19809,plain,
% 14.20/9.92 (~node4(s227)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18081, 36, 19780])).
% 14.20/9.92 tff(19810,plain,
% 14.20/9.92 (xuntil6(s227) | (~until5(s227))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18088, 294, 19809])).
% 14.20/9.92 tff(19811,plain,
% 14.20/9.92 (xuntil6(s227)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19810, 19808])).
% 14.20/9.92 tff(19812,plain,
% 14.20/9.92 (until5(s228)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18094, 19811])).
% 14.20/9.92 tff(19813,plain,
% 14.20/9.92 (~node4(s228)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18098, 36, 19779])).
% 14.20/9.92 tff(19814,plain,
% 14.20/9.92 (xuntil6(s228) | (~until5(s228))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18105, 294, 19813])).
% 14.20/9.92 tff(19815,plain,
% 14.20/9.92 (xuntil6(s228)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19814, 19812])).
% 14.20/9.92 tff(19816,plain,
% 14.20/9.92 (until5(s229)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18111, 19815])).
% 14.20/9.92 tff(19817,plain,
% 14.20/9.92 (~node4(s229)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18115, 36, 19778])).
% 14.20/9.92 tff(19818,plain,
% 14.20/9.92 (xuntil6(s229) | (~until5(s229))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18122, 294, 19817])).
% 14.20/9.92 tff(19819,plain,
% 14.20/9.92 (xuntil6(s229)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19818, 19816])).
% 14.20/9.92 tff(19820,plain,
% 14.20/9.92 (until5(s230)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18128, 19819])).
% 14.20/9.92 tff(19821,plain,
% 14.20/9.92 (~node4(s230)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18132, 36, 19777])).
% 14.20/9.92 tff(19822,plain,
% 14.20/9.92 (xuntil6(s230) | (~until5(s230))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18139, 294, 19821])).
% 14.20/9.92 tff(19823,plain,
% 14.20/9.92 (xuntil6(s230)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19822, 19820])).
% 14.20/9.92 tff(19824,plain,
% 14.20/9.92 (until5(s231)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18145, 19823])).
% 14.20/9.92 tff(19825,plain,
% 14.20/9.92 (~node4(s231)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18149, 36, 19776])).
% 14.20/9.92 tff(19826,plain,
% 14.20/9.92 (xuntil6(s231) | (~until5(s231))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18156, 294, 19825])).
% 14.20/9.92 tff(19827,plain,
% 14.20/9.92 (xuntil6(s231)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19826, 19824])).
% 14.20/9.92 tff(19828,plain,
% 14.20/9.92 (until5(s232)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18162, 19827])).
% 14.20/9.92 tff(19829,plain,
% 14.20/9.92 (~node4(s232)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18166, 36, 19775])).
% 14.20/9.92 tff(19830,plain,
% 14.20/9.92 (xuntil6(s232) | (~until5(s232))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18173, 294, 19829])).
% 14.20/9.92 tff(19831,plain,
% 14.20/9.92 (xuntil6(s232)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19830, 19828])).
% 14.20/9.92 tff(19832,plain,
% 14.20/9.92 (until5(s233)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18179, 19831])).
% 14.20/9.92 tff(19833,plain,
% 14.20/9.92 (~node4(s233)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18183, 36, 19774])).
% 14.20/9.92 tff(19834,plain,
% 14.20/9.92 (xuntil6(s233) | (~until5(s233))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18190, 294, 19833])).
% 14.20/9.92 tff(19835,plain,
% 14.20/9.92 (xuntil6(s233)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19834, 19832])).
% 14.20/9.92 tff(19836,plain,
% 14.20/9.92 (until5(s234)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18196, 19835])).
% 14.20/9.92 tff(19837,plain,
% 14.20/9.92 (~node4(s234)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18200, 36, 19773])).
% 14.20/9.92 tff(19838,plain,
% 14.20/9.92 (xuntil6(s234) | (~until5(s234))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18207, 294, 19837])).
% 14.20/9.92 tff(19839,plain,
% 14.20/9.92 (xuntil6(s234)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19838, 19836])).
% 14.20/9.92 tff(19840,plain,
% 14.20/9.92 (until5(s235)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18213, 19839])).
% 14.20/9.92 tff(19841,plain,
% 14.20/9.92 (~node4(s235)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18217, 36, 19772])).
% 14.20/9.92 tff(19842,plain,
% 14.20/9.92 (xuntil6(s235) | (~until5(s235))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18224, 294, 19841])).
% 14.20/9.92 tff(19843,plain,
% 14.20/9.92 (xuntil6(s235)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19842, 19840])).
% 14.20/9.92 tff(19844,plain,
% 14.20/9.92 (until5(s236)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18230, 19843])).
% 14.20/9.92 tff(19845,plain,
% 14.20/9.92 (xuntil6(s236)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18276, 19844])).
% 14.20/9.92 tff(19846,plain,
% 14.20/9.92 (until5(s237)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18281, 19845])).
% 14.20/9.92 tff(19847,plain,
% 14.20/9.92 (~node4(s237)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17776, 36, 19770])).
% 14.20/9.92 tff(19848,plain,
% 14.20/9.92 (xuntil6(s237) | (~until5(s237))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17783, 294, 19847])).
% 14.20/9.92 tff(19849,plain,
% 14.20/9.92 (xuntil6(s237)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19848, 19846])).
% 14.20/9.92 tff(19850,plain,
% 14.20/9.92 ($false),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17763, 19849, 19769])).
% 14.20/9.92 tff(19851,plain,(always3(s255) | (~until5(s221)) | xuntil6(s255)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.92 tff(19852,plain,
% 14.20/9.92 (always3(s255)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19851, 19680, 17207])).
% 14.20/9.92 tff(19853,plain,
% 14.20/9.92 (succ(s255, s256) <=> succ(s255, s256)),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19854,axiom,(succ(s255, s256)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound256')).
% 14.20/9.92 tff(19855,plain,
% 14.20/9.92 (succ(s255, s256)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19854, 19853])).
% 14.20/9.92 tff(19856,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19857,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19858,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19857, 19856])).
% 14.20/9.92 tff(19859,plain,
% 14.20/9.92 (trans(s255, s256)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19858, 19855, 52])).
% 14.20/9.92 tff(19860,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s255, s256)) | (~always3(s255)) | always3(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s255, s256)) | (~always3(s255)) | always3(s256))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19861,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s255, s256)) | (~always3(s255)) | always3(s256))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19862,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s255, s256)) | (~always3(s255)) | always3(s256)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19861, 19860])).
% 14.20/9.92 tff(19863,plain,
% 14.20/9.92 ((~always3(s255)) | always3(s256)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19862, 125, 19859])).
% 14.20/9.92 tff(19864,plain,
% 14.20/9.92 (always3(s256)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19863, 19852])).
% 14.20/9.92 tff(19865,plain,
% 14.20/9.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s256)) | (~m_main_v_state(s256, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19866,plain,
% 14.20/9.92 (((~m_main_v_state(s256, c_busy)) | (~always3(s256))) <=> ((~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19867,plain,
% 14.20/9.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s256)) | (~m_main_v_state(s256, c_busy))))),
% 14.20/9.92 inference(monotonicity,[status(thm)],[19866])).
% 14.20/9.92 tff(19868,plain,
% 14.20/9.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 14.20/9.92 inference(transitivity,[status(thm)],[19867, 19865])).
% 14.20/9.92 tff(19869,plain,
% 14.20/9.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19870,plain,
% 14.20/9.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19869, 19868])).
% 14.20/9.92 tff(19871,plain,
% 14.20/9.92 (~m_main_v_state(s256, c_busy)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19870, 85, 19864])).
% 14.20/9.92 tff(19872,assumption,(until5(s255)), introduced(assumption)).
% 14.20/9.92 tff(19873,plain,
% 14.20/9.92 (xuntil6(s255) | node4(s255)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19694, 294, 19872])).
% 14.20/9.92 tff(19874,plain,
% 14.20/9.92 (node4(s255)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19873, 19680])).
% 14.20/9.92 tff(19875,plain,
% 14.20/9.92 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s255) | (~node4(s255)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s255) | (~node4(s255)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19876,plain,
% 14.20/9.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s255) | (~node4(s255)))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19877,plain,
% 14.20/9.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s255) | (~node4(s255))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19876, 19875])).
% 14.20/9.92 tff(19878,plain,
% 14.20/9.92 (m_main_v_request(s255)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19877, 21, 19874])).
% 14.20/9.92 tff(19879,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s255, s256)) | node2(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s255, s256)) | node2(s255, s256))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19880,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s255, s256)) | node2(s255, s256))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19881,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s255, s256)) | node2(s255, s256)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19880, 19879])).
% 14.20/9.92 tff(19882,plain,
% 14.20/9.92 (node2(s255, s256)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19881, 7, 19859])).
% 14.20/9.92 tff(19883,plain,
% 14.20/9.92 (((~![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(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19884,plain,
% 14.20/9.92 ((~![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(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255)))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19885,plain,
% 14.20/9.92 ((~![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(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19884, 19883])).
% 14.20/9.92 tff(19886,plain,
% 14.20/9.92 ((~m_main_v_state(s255, c_ready)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19885, 73, 19882])).
% 14.20/9.92 tff(19887,plain,
% 14.20/9.92 (~m_main_v_state(s255, c_ready)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19886, 19878, 19871])).
% 14.20/9.92 tff(19888,plain,
% 14.20/9.92 (~m_main_v_state(s255, c_busy)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19650, 85, 19852])).
% 14.20/9.92 tff(19889,plain,
% 14.20/9.92 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19890,plain,
% 14.20/9.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19891,plain,
% 14.20/9.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19890, 19889])).
% 14.20/9.92 tff(19892,plain,
% 14.20/9.92 ($false),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19891, 102, 19888, 19887])).
% 14.20/9.92 tff(19893,plain,(xuntil6(s255) | (~until5(s255)) | (~until5(s221))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.92 tff(19894,plain,
% 14.20/9.92 (xuntil6(s255)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19893, 19679, 17205])).
% 14.20/9.92 tff(19895,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19896,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19897,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19896, 19895])).
% 14.20/9.92 tff(19898,plain,
% 14.20/9.92 ((~xuntil6(s255)) | until5(s256)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19897, 19855, 312])).
% 14.20/9.92 tff(19899,plain,
% 14.20/9.92 (until5(s256)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19898, 19894])).
% 14.20/9.92 tff(19900,assumption,(~xuntil6(s280)), introduced(assumption)).
% 14.20/9.92 tff(19901,assumption,(~always3(s257)), introduced(assumption)).
% 14.20/9.92 tff(19902,plain,
% 14.20/9.92 (succ(s256, s257) <=> succ(s256, s257)),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19903,axiom,(succ(s256, s257)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound257')).
% 14.20/9.92 tff(19904,plain,
% 14.20/9.92 (succ(s256, s257)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19903, 19902])).
% 14.20/9.92 tff(19905,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19906,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19907,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19906, 19905])).
% 14.20/9.92 tff(19908,plain,
% 14.20/9.92 (trans(s256, s257)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19907, 19904, 52])).
% 14.20/9.92 tff(19909,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s256, s257)) | (~always3(s256)) | always3(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s256, s257)) | (~always3(s256)) | always3(s257))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19910,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s256, s257)) | (~always3(s256)) | always3(s257))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19911,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s256, s257)) | (~always3(s256)) | always3(s257)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19910, 19909])).
% 14.20/9.92 tff(19912,plain,
% 14.20/9.92 ((~always3(s256)) | always3(s257)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19911, 125, 19908])).
% 14.20/9.92 tff(19913,plain,
% 14.20/9.92 (~always3(s256)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19912, 19901])).
% 14.20/9.92 tff(19914,plain,
% 14.20/9.92 (~always3(s255)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19863, 19913])).
% 14.20/9.92 tff(19915,plain,
% 14.20/9.92 (~always3(s254)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19643, 19914])).
% 14.20/9.92 tff(19916,plain,
% 14.20/9.92 (~always3(s253)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[18295, 19915])).
% 14.20/9.92 tff(19917,plain,
% 14.20/9.92 (~always3(s252)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17219, 19916])).
% 14.20/9.92 tff(19918,plain,
% 14.20/9.92 (~always3(s251)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17231, 19917])).
% 14.20/9.92 tff(19919,plain,
% 14.20/9.92 (~always3(s250)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17336, 19918])).
% 14.20/9.92 tff(19920,plain,
% 14.20/9.92 (~always3(s249)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17390, 19919])).
% 14.20/9.92 tff(19921,plain,
% 14.20/9.92 (~always3(s248)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17419, 19920])).
% 14.20/9.92 tff(19922,plain,
% 14.20/9.92 (~always3(s247)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17448, 19921])).
% 14.20/9.92 tff(19923,plain,
% 14.20/9.92 (~always3(s246)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17477, 19922])).
% 14.20/9.92 tff(19924,plain,
% 14.20/9.92 (~always3(s245)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17506, 19923])).
% 14.20/9.92 tff(19925,plain,
% 14.20/9.92 (~always3(s244)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17535, 19924])).
% 14.20/9.92 tff(19926,plain,
% 14.20/9.92 (~always3(s243)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17564, 19925])).
% 14.20/9.92 tff(19927,plain,
% 14.20/9.92 (~always3(s242)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17593, 19926])).
% 14.20/9.92 tff(19928,plain,
% 14.20/9.92 (~always3(s241)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17622, 19927])).
% 14.20/9.92 tff(19929,plain,
% 14.20/9.92 (~always3(s240)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17651, 19928])).
% 14.20/9.92 tff(19930,plain,
% 14.20/9.92 (~always3(s239)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17689, 19929])).
% 14.20/9.92 tff(19931,plain,
% 14.20/9.92 (~always3(s238)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17743, 19930])).
% 14.20/9.92 tff(19932,plain,
% 14.20/9.92 (~always3(s237)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17772, 19931])).
% 14.20/9.92 tff(19933,plain,
% 14.20/9.92 (~always3(s236)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17796, 19932])).
% 14.20/9.92 tff(19934,plain,
% 14.20/9.92 (~always3(s235)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17808, 19933])).
% 14.20/9.92 tff(19935,plain,
% 14.20/9.92 (~always3(s234)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17820, 19934])).
% 14.20/9.92 tff(19936,plain,
% 14.20/9.92 (~always3(s233)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17832, 19935])).
% 14.20/9.92 tff(19937,plain,
% 14.20/9.92 (~always3(s232)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17844, 19936])).
% 14.20/9.92 tff(19938,plain,
% 14.20/9.92 (~always3(s231)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17856, 19937])).
% 14.20/9.92 tff(19939,plain,
% 14.20/9.92 (~always3(s230)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17868, 19938])).
% 14.20/9.92 tff(19940,plain,
% 14.20/9.92 (~always3(s229)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17880, 19939])).
% 14.20/9.92 tff(19941,plain,
% 14.20/9.92 (~always3(s228)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17892, 19940])).
% 14.20/9.92 tff(19942,plain,
% 14.20/9.92 (~always3(s227)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17904, 19941])).
% 14.20/9.92 tff(19943,plain,
% 14.20/9.92 (~always3(s226)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17916, 19942])).
% 14.20/9.92 tff(19944,plain,
% 14.20/9.92 (~always3(s225)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17928, 19943])).
% 14.20/9.92 tff(19945,plain,
% 14.20/9.92 (~always3(s224)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17940, 19944])).
% 14.20/9.92 tff(19946,plain,
% 14.20/9.92 (~always3(s223)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17952, 19945])).
% 14.20/9.92 tff(19947,plain,
% 14.20/9.92 (~always3(s222)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17964, 19946])).
% 14.20/9.92 tff(19948,plain,
% 14.20/9.92 (~always3(s221)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[17980, 19947])).
% 14.20/9.92 tff(19949,plain,
% 14.20/9.92 (~always3(s220)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15896, 19948])).
% 14.20/9.92 tff(19950,plain,
% 14.20/9.92 (~always3(s219)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14875, 19949])).
% 14.20/9.92 tff(19951,plain,
% 14.20/9.92 (~always3(s218)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14920, 19950])).
% 14.20/9.92 tff(19952,plain,
% 14.20/9.92 (~always3(s217)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14949, 19951])).
% 14.20/9.92 tff(19953,plain,
% 14.20/9.92 (~always3(s216)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14978, 19952])).
% 14.20/9.92 tff(19954,plain,
% 14.20/9.92 (~always3(s215)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15007, 19953])).
% 14.20/9.92 tff(19955,plain,
% 14.20/9.92 (~always3(s214)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15036, 19954])).
% 14.20/9.92 tff(19956,plain,
% 14.20/9.92 (~always3(s213)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15065, 19955])).
% 14.20/9.92 tff(19957,plain,
% 14.20/9.92 (~always3(s212)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15094, 19956])).
% 14.20/9.92 tff(19958,plain,
% 14.20/9.92 (~always3(s211)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15123, 19957])).
% 14.20/9.92 tff(19959,plain,
% 14.20/9.92 (~always3(s210)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15152, 19958])).
% 14.20/9.92 tff(19960,plain,
% 14.20/9.92 (~always3(s209)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14832, 19959])).
% 14.20/9.92 tff(19961,plain,
% 14.20/9.92 (~always3(s208)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15196, 19960])).
% 14.20/9.92 tff(19962,plain,
% 14.20/9.92 (~always3(s207)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15225, 19961])).
% 14.20/9.92 tff(19963,plain,
% 14.20/9.92 (~always3(s206)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15254, 19962])).
% 14.20/9.92 tff(19964,plain,
% 14.20/9.92 (~always3(s205)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15283, 19963])).
% 14.20/9.92 tff(19965,plain,
% 14.20/9.92 (~always3(s204)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15312, 19964])).
% 14.20/9.92 tff(19966,plain,
% 14.20/9.92 (~always3(s203)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15341, 19965])).
% 14.20/9.92 tff(19967,plain,
% 14.20/9.92 (~always3(s202)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15370, 19966])).
% 14.20/9.92 tff(19968,plain,
% 14.20/9.92 (~always3(s201)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15382, 19967])).
% 14.20/9.92 tff(19969,plain,
% 14.20/9.92 (~always3(s200)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15394, 19968])).
% 14.20/9.92 tff(19970,plain,
% 14.20/9.92 (~always3(s199)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15406, 19969])).
% 14.20/9.92 tff(19971,plain,
% 14.20/9.92 (~always3(s198)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15418, 19970])).
% 14.20/9.92 tff(19972,plain,
% 14.20/9.92 (~always3(s197)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15430, 19971])).
% 14.20/9.92 tff(19973,plain,
% 14.20/9.92 (~always3(s196)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14734, 19972])).
% 14.20/9.92 tff(19974,plain,
% 14.20/9.92 (~always3(s195)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15443, 19973])).
% 14.20/9.92 tff(19975,plain,
% 14.20/9.92 (~always3(s194)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14783, 19974])).
% 14.20/9.92 tff(19976,plain,
% 14.20/9.92 (~always3(s193)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15456, 19975])).
% 14.20/9.92 tff(19977,plain,
% 14.20/9.92 (~always3(s192)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15468, 19976])).
% 14.20/9.92 tff(19978,plain,
% 14.20/9.92 (~always3(s191)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15480, 19977])).
% 14.20/9.92 tff(19979,plain,
% 14.20/9.92 (~always3(s190)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15492, 19978])).
% 14.20/9.92 tff(19980,plain,
% 14.20/9.92 (~always3(s189)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15504, 19979])).
% 14.20/9.92 tff(19981,plain,
% 14.20/9.92 (~always3(s188)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15516, 19980])).
% 14.20/9.92 tff(19982,plain,
% 14.20/9.92 (~always3(s187)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15528, 19981])).
% 14.20/9.92 tff(19983,plain,
% 14.20/9.92 (~always3(s186)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15540, 19982])).
% 14.20/9.92 tff(19984,plain,
% 14.20/9.92 (~always3(s185)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15552, 19983])).
% 14.20/9.92 tff(19985,plain,
% 14.20/9.92 (~always3(s184)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[15568, 19984])).
% 14.20/9.92 tff(19986,plain,
% 14.20/9.92 (~always3(s183)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14483, 19985])).
% 14.20/9.92 tff(19987,plain,
% 14.20/9.92 (xuntil6(s183)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14471, 19986])).
% 14.20/9.92 tff(19988,plain,
% 14.20/9.92 (until5(s184)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[14712, 19987])).
% 14.20/9.92 tff(19989,assumption,(until5(s274)), introduced(assumption)).
% 14.20/9.92 tff(19990,assumption,(~always3(s280)), introduced(assumption)).
% 14.20/9.92 tff(19991,plain,
% 14.20/9.92 (succ(s279, s280) <=> succ(s279, s280)),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19992,axiom,(succ(s279, s280)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound280')).
% 14.20/9.92 tff(19993,plain,
% 14.20/9.92 (succ(s279, s280)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19992, 19991])).
% 14.20/9.92 tff(19994,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19995,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(19996,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19995, 19994])).
% 14.20/9.92 tff(19997,plain,
% 14.20/9.92 (trans(s279, s280)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[19996, 19993, 52])).
% 14.20/9.92 tff(19998,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s279, s280)) | (~always3(s279)) | always3(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s279, s280)) | (~always3(s279)) | always3(s280))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(19999,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s279, s280)) | (~always3(s279)) | always3(s280))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20000,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s279, s280)) | (~always3(s279)) | always3(s280)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 14.20/9.92 tff(20001,plain,
% 14.20/9.92 ((~always3(s279)) | always3(s280)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20000, 125, 19997])).
% 14.20/9.92 tff(20002,plain,
% 14.20/9.92 (~always3(s279)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20001, 19990])).
% 14.20/9.92 tff(20003,plain,
% 14.20/9.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s279) | (~node4(s279)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s279) | (~node4(s279)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20004,plain,
% 14.20/9.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s279) | (~node4(s279)))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20005,plain,
% 14.20/9.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s279) | (~node4(s279))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20004, 20003])).
% 14.20/9.92 tff(20006,plain,
% 14.20/9.92 (~node4(s279)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20005, 36, 20002])).
% 14.20/9.92 tff(20007,plain,
% 14.20/9.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s280) | (~node4(s280)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s280) | (~node4(s280)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20008,plain,
% 14.20/9.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s280) | (~node4(s280)))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20009,plain,
% 14.20/9.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s280) | (~node4(s280))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 14.20/9.92 tff(20010,plain,
% 14.20/9.92 (~node4(s280)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20009, 36, 19990])).
% 14.20/9.92 tff(20011,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s280) | node4(s280) | (~until5(s280)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s280) | node4(s280) | (~until5(s280)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20012,plain,
% 14.20/9.92 ((node4(s280) | (~until5(s280)) | xuntil6(s280)) <=> (xuntil6(s280) | node4(s280) | (~until5(s280)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20013,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s280) | (~until5(s280)) | xuntil6(s280))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s280) | node4(s280) | (~until5(s280))))),
% 14.20/9.92 inference(monotonicity,[status(thm)],[20012])).
% 14.20/9.92 tff(20014,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s280) | (~until5(s280)) | xuntil6(s280))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s280) | node4(s280) | (~until5(s280)))),
% 14.20/9.92 inference(transitivity,[status(thm)],[20013, 20011])).
% 14.20/9.92 tff(20015,plain,
% 14.20/9.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s280) | (~until5(s280)) | xuntil6(s280))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20016,plain,
% 14.20/9.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s280) | node4(s280) | (~until5(s280))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20015, 20014])).
% 14.20/9.92 tff(20017,plain,
% 14.20/9.92 (node4(s280) | (~until5(s280))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20016, 294, 19900])).
% 14.20/9.92 tff(20018,plain,
% 14.20/9.92 (~until5(s280)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20017, 20010])).
% 14.20/9.92 tff(20019,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20020,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20021,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 14.20/9.92 tff(20022,plain,
% 14.20/9.92 ((~xuntil6(s279)) | until5(s280)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20021, 19993, 312])).
% 14.20/9.92 tff(20023,plain,
% 14.20/9.92 (~xuntil6(s279)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20022, 20018])).
% 14.20/9.92 tff(20024,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s279) | node4(s279) | (~until5(s279)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s279) | node4(s279) | (~until5(s279)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20025,plain,
% 14.20/9.92 ((node4(s279) | (~until5(s279)) | xuntil6(s279)) <=> (xuntil6(s279) | node4(s279) | (~until5(s279)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20026,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s279) | (~until5(s279)) | xuntil6(s279))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s279) | node4(s279) | (~until5(s279))))),
% 14.20/9.92 inference(monotonicity,[status(thm)],[20025])).
% 14.20/9.92 tff(20027,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s279) | (~until5(s279)) | xuntil6(s279))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s279) | node4(s279) | (~until5(s279)))),
% 14.20/9.92 inference(transitivity,[status(thm)],[20026, 20024])).
% 14.20/9.92 tff(20028,plain,
% 14.20/9.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s279) | (~until5(s279)) | xuntil6(s279))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20029,plain,
% 14.20/9.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s279) | node4(s279) | (~until5(s279))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20028, 20027])).
% 14.20/9.92 tff(20030,plain,
% 14.20/9.92 (~until5(s279)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20029, 294, 20023, 20006])).
% 14.20/9.92 tff(20031,plain,
% 14.20/9.92 (succ(s278, s279) <=> succ(s278, s279)),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20032,axiom,(succ(s278, s279)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound279')).
% 14.20/9.92 tff(20033,plain,
% 14.20/9.92 (succ(s278, s279)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20032, 20031])).
% 14.20/9.92 tff(20034,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20035,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20036,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20035, 20034])).
% 14.20/9.92 tff(20037,plain,
% 14.20/9.92 ((~xuntil6(s278)) | until5(s279)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20036, 20033, 312])).
% 14.20/9.92 tff(20038,plain,
% 14.20/9.92 (~xuntil6(s278)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20037, 20030])).
% 14.20/9.92 tff(20039,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20040,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20041,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20040, 20039])).
% 14.20/9.92 tff(20042,plain,
% 14.20/9.92 (trans(s278, s279)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20041, 20033, 52])).
% 14.20/9.92 tff(20043,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s278, s279)) | (~always3(s278)) | always3(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s278, s279)) | (~always3(s278)) | always3(s279))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20044,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s278, s279)) | (~always3(s278)) | always3(s279))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20045,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s278, s279)) | (~always3(s278)) | always3(s279)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20044, 20043])).
% 14.20/9.92 tff(20046,plain,
% 14.20/9.92 ((~always3(s278)) | always3(s279)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20045, 125, 20042])).
% 14.20/9.92 tff(20047,plain,
% 14.20/9.92 (~always3(s278)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20046, 20002])).
% 14.20/9.92 tff(20048,plain,
% 14.20/9.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s278) | (~node4(s278)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s278) | (~node4(s278)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20049,plain,
% 14.20/9.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s278) | (~node4(s278)))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20050,plain,
% 14.20/9.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s278) | (~node4(s278))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20049, 20048])).
% 14.20/9.92 tff(20051,plain,
% 14.20/9.92 (~node4(s278)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20050, 36, 20047])).
% 14.20/9.92 tff(20052,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s278) | node4(s278) | (~until5(s278)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s278) | node4(s278) | (~until5(s278)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20053,plain,
% 14.20/9.92 ((node4(s278) | (~until5(s278)) | xuntil6(s278)) <=> (xuntil6(s278) | node4(s278) | (~until5(s278)))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20054,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s278) | (~until5(s278)) | xuntil6(s278))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s278) | node4(s278) | (~until5(s278))))),
% 14.20/9.92 inference(monotonicity,[status(thm)],[20053])).
% 14.20/9.92 tff(20055,plain,
% 14.20/9.92 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s278) | (~until5(s278)) | xuntil6(s278))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s278) | node4(s278) | (~until5(s278)))),
% 14.20/9.92 inference(transitivity,[status(thm)],[20054, 20052])).
% 14.20/9.92 tff(20056,plain,
% 14.20/9.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s278) | (~until5(s278)) | xuntil6(s278))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20057,plain,
% 14.20/9.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s278) | node4(s278) | (~until5(s278))),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20056, 20055])).
% 14.20/9.92 tff(20058,plain,
% 14.20/9.92 (xuntil6(s278) | (~until5(s278))),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20057, 294, 20051])).
% 14.20/9.92 tff(20059,plain,
% 14.20/9.92 (~until5(s278)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20058, 20038])).
% 14.20/9.92 tff(20060,plain,
% 14.20/9.92 (succ(s277, s278) <=> succ(s277, s278)),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20061,axiom,(succ(s277, s278)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound278')).
% 14.20/9.92 tff(20062,plain,
% 14.20/9.92 (succ(s277, s278)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20061, 20060])).
% 14.20/9.92 tff(20063,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20064,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20065,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20064, 20063])).
% 14.20/9.92 tff(20066,plain,
% 14.20/9.92 ((~xuntil6(s277)) | until5(s278)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20065, 20062, 312])).
% 14.20/9.92 tff(20067,plain,
% 14.20/9.92 (~xuntil6(s277)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20066, 20059])).
% 14.20/9.92 tff(20068,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278))),
% 14.20/9.92 inference(rewrite,[status(thm)],[])).
% 14.20/9.92 tff(20069,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))),
% 14.20/9.92 inference(quant_inst,[status(thm)],[])).
% 14.20/9.92 tff(20070,plain,
% 14.20/9.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278)),
% 14.20/9.92 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 14.20/9.92 tff(20071,plain,
% 14.20/9.92 (trans(s277, s278)),
% 14.20/9.92 inference(unit_resolution,[status(thm)],[20070, 20062, 52])).
% 14.20/9.92 tff(20072,plain,
% 14.20/9.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s277, s278)) | (~always3(s277)) | always3(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s277, s278)) | (~always3(s277)) | always3(s278))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20073,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s277, s278)) | (~always3(s277)) | always3(s278))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20074,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s277, s278)) | (~always3(s277)) | always3(s278)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 14.20/9.93 tff(20075,plain,
% 14.20/9.93 ((~always3(s277)) | always3(s278)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20074, 125, 20071])).
% 14.20/9.93 tff(20076,plain,
% 14.20/9.93 (~always3(s277)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20075, 20047])).
% 14.20/9.93 tff(20077,plain,
% 14.20/9.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s277) | (~node4(s277)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s277) | (~node4(s277)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20078,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s277) | (~node4(s277)))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20079,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s277) | (~node4(s277))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20078, 20077])).
% 14.20/9.93 tff(20080,plain,
% 14.20/9.93 (~node4(s277)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20079, 36, 20076])).
% 14.20/9.93 tff(20081,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s277) | node4(s277) | (~until5(s277)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s277) | node4(s277) | (~until5(s277)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20082,plain,
% 14.20/9.93 ((node4(s277) | (~until5(s277)) | xuntil6(s277)) <=> (xuntil6(s277) | node4(s277) | (~until5(s277)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20083,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s277) | (~until5(s277)) | xuntil6(s277))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s277) | node4(s277) | (~until5(s277))))),
% 14.20/9.93 inference(monotonicity,[status(thm)],[20082])).
% 14.20/9.93 tff(20084,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s277) | (~until5(s277)) | xuntil6(s277))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s277) | node4(s277) | (~until5(s277)))),
% 14.20/9.93 inference(transitivity,[status(thm)],[20083, 20081])).
% 14.20/9.93 tff(20085,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s277) | (~until5(s277)) | xuntil6(s277))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20086,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s277) | node4(s277) | (~until5(s277))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20085, 20084])).
% 14.20/9.93 tff(20087,plain,
% 14.20/9.93 (xuntil6(s277) | (~until5(s277))),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20086, 294, 20080])).
% 14.20/9.93 tff(20088,plain,
% 14.20/9.93 (~until5(s277)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20087, 20067])).
% 14.20/9.93 tff(20089,plain,
% 14.20/9.93 (succ(s276, s277) <=> succ(s276, s277)),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20090,axiom,(succ(s276, s277)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound277')).
% 14.20/9.93 tff(20091,plain,
% 14.20/9.93 (succ(s276, s277)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20090, 20089])).
% 14.20/9.93 tff(20092,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20093,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20094,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20093, 20092])).
% 14.20/9.93 tff(20095,plain,
% 14.20/9.93 ((~xuntil6(s276)) | until5(s277)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20094, 20091, 312])).
% 14.20/9.93 tff(20096,plain,
% 14.20/9.93 (~xuntil6(s276)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20095, 20088])).
% 14.20/9.93 tff(20097,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20098,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20099,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20098, 20097])).
% 14.20/9.93 tff(20100,plain,
% 14.20/9.93 (trans(s276, s277)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20099, 20091, 52])).
% 14.20/9.93 tff(20101,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s276, s277)) | (~always3(s276)) | always3(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s276, s277)) | (~always3(s276)) | always3(s277))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20102,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s276, s277)) | (~always3(s276)) | always3(s277))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20103,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s276, s277)) | (~always3(s276)) | always3(s277)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20102, 20101])).
% 14.20/9.93 tff(20104,plain,
% 14.20/9.93 ((~always3(s276)) | always3(s277)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20103, 125, 20100])).
% 14.20/9.93 tff(20105,plain,
% 14.20/9.93 (~always3(s276)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20104, 20076])).
% 14.20/9.93 tff(20106,plain,
% 14.20/9.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s276) | (~node4(s276)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s276) | (~node4(s276)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20107,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s276) | (~node4(s276)))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20108,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s276) | (~node4(s276))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20107, 20106])).
% 14.20/9.93 tff(20109,plain,
% 14.20/9.93 (~node4(s276)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20108, 36, 20105])).
% 14.20/9.93 tff(20110,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s276) | node4(s276) | (~until5(s276)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s276) | node4(s276) | (~until5(s276)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20111,plain,
% 14.20/9.93 ((node4(s276) | (~until5(s276)) | xuntil6(s276)) <=> (xuntil6(s276) | node4(s276) | (~until5(s276)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20112,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s276) | (~until5(s276)) | xuntil6(s276))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s276) | node4(s276) | (~until5(s276))))),
% 14.20/9.93 inference(monotonicity,[status(thm)],[20111])).
% 14.20/9.93 tff(20113,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s276) | (~until5(s276)) | xuntil6(s276))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s276) | node4(s276) | (~until5(s276)))),
% 14.20/9.93 inference(transitivity,[status(thm)],[20112, 20110])).
% 14.20/9.93 tff(20114,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s276) | (~until5(s276)) | xuntil6(s276))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20115,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s276) | node4(s276) | (~until5(s276))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20114, 20113])).
% 14.20/9.93 tff(20116,plain,
% 14.20/9.93 (xuntil6(s276) | (~until5(s276))),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20115, 294, 20109])).
% 14.20/9.93 tff(20117,plain,
% 14.20/9.93 (~until5(s276)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20116, 20096])).
% 14.20/9.93 tff(20118,plain,
% 14.20/9.93 (succ(s275, s276) <=> succ(s275, s276)),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20119,axiom,(succ(s275, s276)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound276')).
% 14.20/9.93 tff(20120,plain,
% 14.20/9.93 (succ(s275, s276)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20119, 20118])).
% 14.20/9.93 tff(20121,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20122,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20123,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20122, 20121])).
% 14.20/9.93 tff(20124,plain,
% 14.20/9.93 ((~xuntil6(s275)) | until5(s276)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20123, 20120, 312])).
% 14.20/9.93 tff(20125,plain,
% 14.20/9.93 (~xuntil6(s275)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20124, 20117])).
% 14.20/9.93 tff(20126,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20127,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20128,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20127, 20126])).
% 14.20/9.93 tff(20129,plain,
% 14.20/9.93 (trans(s275, s276)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20128, 20120, 52])).
% 14.20/9.93 tff(20130,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s275, s276)) | (~always3(s275)) | always3(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s275, s276)) | (~always3(s275)) | always3(s276))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20131,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s275, s276)) | (~always3(s275)) | always3(s276))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20132,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s275, s276)) | (~always3(s275)) | always3(s276)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20131, 20130])).
% 14.20/9.93 tff(20133,plain,
% 14.20/9.93 ((~always3(s275)) | always3(s276)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20132, 125, 20129])).
% 14.20/9.93 tff(20134,plain,
% 14.20/9.93 (~always3(s275)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20133, 20105])).
% 14.20/9.93 tff(20135,plain,
% 14.20/9.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s275) | (~node4(s275)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s275) | (~node4(s275)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20136,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s275) | (~node4(s275)))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20137,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s275) | (~node4(s275))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20136, 20135])).
% 14.20/9.93 tff(20138,plain,
% 14.20/9.93 (~node4(s275)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20137, 36, 20134])).
% 14.20/9.93 tff(20139,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s275) | node4(s275) | (~until5(s275)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s275) | node4(s275) | (~until5(s275)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20140,plain,
% 14.20/9.93 ((node4(s275) | (~until5(s275)) | xuntil6(s275)) <=> (xuntil6(s275) | node4(s275) | (~until5(s275)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20141,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s275) | (~until5(s275)) | xuntil6(s275))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s275) | node4(s275) | (~until5(s275))))),
% 14.20/9.93 inference(monotonicity,[status(thm)],[20140])).
% 14.20/9.93 tff(20142,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s275) | (~until5(s275)) | xuntil6(s275))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s275) | node4(s275) | (~until5(s275)))),
% 14.20/9.93 inference(transitivity,[status(thm)],[20141, 20139])).
% 14.20/9.93 tff(20143,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s275) | (~until5(s275)) | xuntil6(s275))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20144,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s275) | node4(s275) | (~until5(s275))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20143, 20142])).
% 14.20/9.93 tff(20145,plain,
% 14.20/9.93 (xuntil6(s275) | (~until5(s275))),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20144, 294, 20138])).
% 14.20/9.93 tff(20146,plain,
% 14.20/9.93 (~until5(s275)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20145, 20125])).
% 14.20/9.93 tff(20147,plain,
% 14.20/9.93 (succ(s274, s275) <=> succ(s274, s275)),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20148,axiom,(succ(s274, s275)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound275')).
% 14.20/9.93 tff(20149,plain,
% 14.20/9.93 (succ(s274, s275)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 14.20/9.93 tff(20150,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20151,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20152,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20151, 20150])).
% 14.20/9.93 tff(20153,plain,
% 14.20/9.93 ((~xuntil6(s274)) | until5(s275)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20152, 20149, 312])).
% 14.20/9.93 tff(20154,plain,
% 14.20/9.93 (~xuntil6(s274)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20153, 20146])).
% 14.20/9.93 tff(20155,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20156,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20157,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 14.20/9.93 tff(20158,plain,
% 14.20/9.93 (trans(s274, s275)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20157, 20149, 52])).
% 14.20/9.93 tff(20159,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s274, s275)) | (~always3(s274)) | always3(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s274, s275)) | (~always3(s274)) | always3(s275))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20160,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s274, s275)) | (~always3(s274)) | always3(s275))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20161,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s274, s275)) | (~always3(s274)) | always3(s275)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 14.20/9.93 tff(20162,plain,
% 14.20/9.93 ((~always3(s274)) | always3(s275)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20161, 125, 20158])).
% 14.20/9.93 tff(20163,plain,
% 14.20/9.93 (~always3(s274)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20162, 20134])).
% 14.20/9.93 tff(20164,plain,
% 14.20/9.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s274) | (~node4(s274)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s274) | (~node4(s274)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20165,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s274) | (~node4(s274)))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20166,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s274) | (~node4(s274))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20165, 20164])).
% 14.20/9.93 tff(20167,plain,
% 14.20/9.93 (~node4(s274)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20166, 36, 20163])).
% 14.20/9.93 tff(20168,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s274) | node4(s274) | (~until5(s274)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s274) | node4(s274) | (~until5(s274)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20169,plain,
% 14.20/9.93 ((node4(s274) | (~until5(s274)) | xuntil6(s274)) <=> (xuntil6(s274) | node4(s274) | (~until5(s274)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20170,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s274) | (~until5(s274)) | xuntil6(s274))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s274) | node4(s274) | (~until5(s274))))),
% 14.20/9.93 inference(monotonicity,[status(thm)],[20169])).
% 14.20/9.93 tff(20171,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s274) | (~until5(s274)) | xuntil6(s274))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s274) | node4(s274) | (~until5(s274)))),
% 14.20/9.93 inference(transitivity,[status(thm)],[20170, 20168])).
% 14.20/9.93 tff(20172,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s274) | (~until5(s274)) | xuntil6(s274))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20173,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s274) | node4(s274) | (~until5(s274))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20172, 20171])).
% 14.20/9.93 tff(20174,plain,
% 14.20/9.93 (xuntil6(s274) | (~until5(s274))),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20173, 294, 20167])).
% 14.20/9.93 tff(20175,plain,
% 14.20/9.93 (~until5(s274)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20174, 20154])).
% 14.20/9.93 tff(20176,plain,
% 14.20/9.93 (succ(s273, s274) <=> succ(s273, s274)),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20177,axiom,(succ(s273, s274)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound274')).
% 14.20/9.93 tff(20178,plain,
% 14.20/9.93 (succ(s273, s274)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20177, 20176])).
% 14.20/9.93 tff(20179,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20180,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20181,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20180, 20179])).
% 14.20/9.93 tff(20182,plain,
% 14.20/9.93 ((~xuntil6(s273)) | until5(s274)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20181, 20178, 312])).
% 14.20/9.93 tff(20183,plain,
% 14.20/9.93 (~xuntil6(s273)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20182, 20175])).
% 14.20/9.93 tff(20184,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20185,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20186,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20185, 20184])).
% 14.20/9.93 tff(20187,plain,
% 14.20/9.93 (trans(s273, s274)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20186, 20178, 52])).
% 14.20/9.93 tff(20188,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s273, s274)) | (~always3(s273)) | always3(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s273, s274)) | (~always3(s273)) | always3(s274))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20189,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s273, s274)) | (~always3(s273)) | always3(s274))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20190,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s273, s274)) | (~always3(s273)) | always3(s274)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20189, 20188])).
% 14.20/9.93 tff(20191,plain,
% 14.20/9.93 ((~always3(s273)) | always3(s274)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20190, 125, 20187])).
% 14.20/9.93 tff(20192,plain,
% 14.20/9.93 (~always3(s273)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20191, 20163])).
% 14.20/9.93 tff(20193,plain,
% 14.20/9.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s273) | (~node4(s273)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s273) | (~node4(s273)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20194,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s273) | (~node4(s273)))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20195,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s273) | (~node4(s273))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20194, 20193])).
% 14.20/9.93 tff(20196,plain,
% 14.20/9.93 (~node4(s273)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20195, 36, 20192])).
% 14.20/9.93 tff(20197,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s273) | node4(s273) | (~until5(s273)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s273) | node4(s273) | (~until5(s273)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20198,plain,
% 14.20/9.93 ((node4(s273) | (~until5(s273)) | xuntil6(s273)) <=> (xuntil6(s273) | node4(s273) | (~until5(s273)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20199,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s273) | (~until5(s273)) | xuntil6(s273))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s273) | node4(s273) | (~until5(s273))))),
% 14.20/9.93 inference(monotonicity,[status(thm)],[20198])).
% 14.20/9.93 tff(20200,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s273) | (~until5(s273)) | xuntil6(s273))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s273) | node4(s273) | (~until5(s273)))),
% 14.20/9.93 inference(transitivity,[status(thm)],[20199, 20197])).
% 14.20/9.93 tff(20201,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s273) | (~until5(s273)) | xuntil6(s273))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20202,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s273) | node4(s273) | (~until5(s273))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 14.20/9.93 tff(20203,plain,
% 14.20/9.93 (xuntil6(s273) | (~until5(s273))),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20202, 294, 20196])).
% 14.20/9.93 tff(20204,plain,
% 14.20/9.93 (~until5(s273)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20203, 20183])).
% 14.20/9.93 tff(20205,plain,
% 14.20/9.93 (succ(s272, s273) <=> succ(s272, s273)),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20206,axiom,(succ(s272, s273)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound273')).
% 14.20/9.93 tff(20207,plain,
% 14.20/9.93 (succ(s272, s273)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20206, 20205])).
% 14.20/9.93 tff(20208,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20209,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20210,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 14.20/9.93 tff(20211,plain,
% 14.20/9.93 ((~xuntil6(s272)) | until5(s273)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20210, 20207, 312])).
% 14.20/9.93 tff(20212,plain,
% 14.20/9.93 (~xuntil6(s272)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20211, 20204])).
% 14.20/9.93 tff(20213,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20214,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20215,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20214, 20213])).
% 14.20/9.93 tff(20216,plain,
% 14.20/9.93 (trans(s272, s273)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20215, 20207, 52])).
% 14.20/9.93 tff(20217,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s272, s273)) | (~always3(s272)) | always3(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s272, s273)) | (~always3(s272)) | always3(s273))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20218,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s272, s273)) | (~always3(s272)) | always3(s273))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20219,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s272, s273)) | (~always3(s272)) | always3(s273)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20218, 20217])).
% 14.20/9.93 tff(20220,plain,
% 14.20/9.93 ((~always3(s272)) | always3(s273)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20219, 125, 20216])).
% 14.20/9.93 tff(20221,plain,
% 14.20/9.93 (~always3(s272)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20220, 20192])).
% 14.20/9.93 tff(20222,plain,
% 14.20/9.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s272) | (~node4(s272)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s272) | (~node4(s272)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20223,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s272) | (~node4(s272)))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20224,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s272) | (~node4(s272))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20223, 20222])).
% 14.20/9.93 tff(20225,plain,
% 14.20/9.93 (~node4(s272)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20224, 36, 20221])).
% 14.20/9.93 tff(20226,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s272) | node4(s272) | (~until5(s272)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s272) | node4(s272) | (~until5(s272)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20227,plain,
% 14.20/9.93 ((node4(s272) | (~until5(s272)) | xuntil6(s272)) <=> (xuntil6(s272) | node4(s272) | (~until5(s272)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20228,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s272) | (~until5(s272)) | xuntil6(s272))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s272) | node4(s272) | (~until5(s272))))),
% 14.20/9.93 inference(monotonicity,[status(thm)],[20227])).
% 14.20/9.93 tff(20229,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s272) | (~until5(s272)) | xuntil6(s272))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s272) | node4(s272) | (~until5(s272)))),
% 14.20/9.93 inference(transitivity,[status(thm)],[20228, 20226])).
% 14.20/9.93 tff(20230,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s272) | (~until5(s272)) | xuntil6(s272))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20231,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s272) | node4(s272) | (~until5(s272))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 14.20/9.93 tff(20232,plain,
% 14.20/9.93 (xuntil6(s272) | (~until5(s272))),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20231, 294, 20225])).
% 14.20/9.93 tff(20233,plain,
% 14.20/9.93 (~until5(s272)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20232, 20212])).
% 14.20/9.93 tff(20234,plain,
% 14.20/9.93 (succ(s271, s272) <=> succ(s271, s272)),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20235,axiom,(succ(s271, s272)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound272')).
% 14.20/9.93 tff(20236,plain,
% 14.20/9.93 (succ(s271, s272)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20235, 20234])).
% 14.20/9.93 tff(20237,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20238,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20239,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20238, 20237])).
% 14.20/9.93 tff(20240,plain,
% 14.20/9.93 ((~xuntil6(s271)) | until5(s272)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20239, 20236, 312])).
% 14.20/9.93 tff(20241,plain,
% 14.20/9.93 (~xuntil6(s271)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20240, 20233])).
% 14.20/9.93 tff(20242,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20243,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20244,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20243, 20242])).
% 14.20/9.93 tff(20245,plain,
% 14.20/9.93 (trans(s271, s272)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20244, 20236, 52])).
% 14.20/9.93 tff(20246,plain,
% 14.20/9.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s271, s272)) | (~always3(s271)) | always3(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s271, s272)) | (~always3(s271)) | always3(s272))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20247,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s271, s272)) | (~always3(s271)) | always3(s272))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20248,plain,
% 14.20/9.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s271, s272)) | (~always3(s271)) | always3(s272)),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20247, 20246])).
% 14.20/9.93 tff(20249,plain,
% 14.20/9.93 ((~always3(s271)) | always3(s272)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20248, 125, 20245])).
% 14.20/9.93 tff(20250,plain,
% 14.20/9.93 (~always3(s271)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20249, 20221])).
% 14.20/9.93 tff(20251,plain,
% 14.20/9.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s271) | (~node4(s271)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s271) | (~node4(s271)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20252,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s271) | (~node4(s271)))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20253,plain,
% 14.20/9.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s271) | (~node4(s271))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 14.20/9.93 tff(20254,plain,
% 14.20/9.93 (~node4(s271)),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20253, 36, 20250])).
% 14.20/9.93 tff(20255,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s271) | node4(s271) | (~until5(s271)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s271) | node4(s271) | (~until5(s271)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20256,plain,
% 14.20/9.93 ((node4(s271) | (~until5(s271)) | xuntil6(s271)) <=> (xuntil6(s271) | node4(s271) | (~until5(s271)))),
% 14.20/9.93 inference(rewrite,[status(thm)],[])).
% 14.20/9.93 tff(20257,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s271) | (~until5(s271)) | xuntil6(s271))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s271) | node4(s271) | (~until5(s271))))),
% 14.20/9.93 inference(monotonicity,[status(thm)],[20256])).
% 14.20/9.93 tff(20258,plain,
% 14.20/9.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s271) | (~until5(s271)) | xuntil6(s271))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s271) | node4(s271) | (~until5(s271)))),
% 14.20/9.93 inference(transitivity,[status(thm)],[20257, 20255])).
% 14.20/9.93 tff(20259,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s271) | (~until5(s271)) | xuntil6(s271))),
% 14.20/9.93 inference(quant_inst,[status(thm)],[])).
% 14.20/9.93 tff(20260,plain,
% 14.20/9.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s271) | node4(s271) | (~until5(s271))),
% 14.20/9.93 inference(modus_ponens,[status(thm)],[20259, 20258])).
% 14.20/9.93 tff(20261,plain,
% 14.20/9.93 (xuntil6(s271) | (~until5(s271))),
% 14.20/9.93 inference(unit_resolution,[status(thm)],[20260, 294, 20254])).
% 14.20/9.93 tff(20262,plain,
% 14.20/9.93 (~until5(s271)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20261, 20241])).
% 14.20/9.94 tff(20263,plain,
% 14.20/9.94 (succ(s270, s271) <=> succ(s270, s271)),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20264,axiom,(succ(s270, s271)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound271')).
% 14.20/9.94 tff(20265,plain,
% 14.20/9.94 (succ(s270, s271)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20264, 20263])).
% 14.20/9.94 tff(20266,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20267,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20268,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20267, 20266])).
% 14.20/9.94 tff(20269,plain,
% 14.20/9.94 ((~xuntil6(s270)) | until5(s271)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20268, 20265, 312])).
% 14.20/9.94 tff(20270,plain,
% 14.20/9.94 (~xuntil6(s270)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20269, 20262])).
% 14.20/9.94 tff(20271,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20272,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20273,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20272, 20271])).
% 14.20/9.94 tff(20274,plain,
% 14.20/9.94 (trans(s270, s271)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20273, 20265, 52])).
% 14.20/9.94 tff(20275,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s270, s271)) | (~always3(s270)) | always3(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s270, s271)) | (~always3(s270)) | always3(s271))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20276,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s270, s271)) | (~always3(s270)) | always3(s271))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20277,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s270, s271)) | (~always3(s270)) | always3(s271)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 14.20/9.94 tff(20278,plain,
% 14.20/9.94 ((~always3(s270)) | always3(s271)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20277, 125, 20274])).
% 14.20/9.94 tff(20279,plain,
% 14.20/9.94 (~always3(s270)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20278, 20250])).
% 14.20/9.94 tff(20280,plain,
% 14.20/9.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s270) | (~node4(s270)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s270) | (~node4(s270)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20281,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s270) | (~node4(s270)))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20282,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s270) | (~node4(s270))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20281, 20280])).
% 14.20/9.94 tff(20283,plain,
% 14.20/9.94 (~node4(s270)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20282, 36, 20279])).
% 14.20/9.94 tff(20284,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s270) | node4(s270) | (~until5(s270)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s270) | node4(s270) | (~until5(s270)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20285,plain,
% 14.20/9.94 ((node4(s270) | (~until5(s270)) | xuntil6(s270)) <=> (xuntil6(s270) | node4(s270) | (~until5(s270)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20286,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s270) | (~until5(s270)) | xuntil6(s270))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s270) | node4(s270) | (~until5(s270))))),
% 14.20/9.94 inference(monotonicity,[status(thm)],[20285])).
% 14.20/9.94 tff(20287,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s270) | (~until5(s270)) | xuntil6(s270))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s270) | node4(s270) | (~until5(s270)))),
% 14.20/9.94 inference(transitivity,[status(thm)],[20286, 20284])).
% 14.20/9.94 tff(20288,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s270) | (~until5(s270)) | xuntil6(s270))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20289,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s270) | node4(s270) | (~until5(s270))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20288, 20287])).
% 14.20/9.94 tff(20290,plain,
% 14.20/9.94 (xuntil6(s270) | (~until5(s270))),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20289, 294, 20283])).
% 14.20/9.94 tff(20291,plain,
% 14.20/9.94 (~until5(s270)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20290, 20270])).
% 14.20/9.94 tff(20292,plain,
% 14.20/9.94 (succ(s269, s270) <=> succ(s269, s270)),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20293,axiom,(succ(s269, s270)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound270')).
% 14.20/9.94 tff(20294,plain,
% 14.20/9.94 (succ(s269, s270)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20293, 20292])).
% 14.20/9.94 tff(20295,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20296,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20297,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20296, 20295])).
% 14.20/9.94 tff(20298,plain,
% 14.20/9.94 ((~xuntil6(s269)) | until5(s270)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20297, 20294, 312])).
% 14.20/9.94 tff(20299,plain,
% 14.20/9.94 (~xuntil6(s269)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20298, 20291])).
% 14.20/9.94 tff(20300,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20301,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20302,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20301, 20300])).
% 14.20/9.94 tff(20303,plain,
% 14.20/9.94 (trans(s269, s270)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20302, 20294, 52])).
% 14.20/9.94 tff(20304,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s269, s270)) | (~always3(s269)) | always3(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s269, s270)) | (~always3(s269)) | always3(s270))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20305,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s269, s270)) | (~always3(s269)) | always3(s270))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20306,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s269, s270)) | (~always3(s269)) | always3(s270)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 14.20/9.94 tff(20307,plain,
% 14.20/9.94 ((~always3(s269)) | always3(s270)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20306, 125, 20303])).
% 14.20/9.94 tff(20308,plain,
% 14.20/9.94 (~always3(s269)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20307, 20279])).
% 14.20/9.94 tff(20309,plain,
% 14.20/9.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s269) | (~node4(s269)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s269) | (~node4(s269)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20310,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s269) | (~node4(s269)))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20311,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s269) | (~node4(s269))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 14.20/9.94 tff(20312,plain,
% 14.20/9.94 (~node4(s269)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20311, 36, 20308])).
% 14.20/9.94 tff(20313,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s269) | node4(s269) | (~until5(s269)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s269) | node4(s269) | (~until5(s269)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20314,plain,
% 14.20/9.94 ((node4(s269) | (~until5(s269)) | xuntil6(s269)) <=> (xuntil6(s269) | node4(s269) | (~until5(s269)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20315,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s269) | (~until5(s269)) | xuntil6(s269))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s269) | node4(s269) | (~until5(s269))))),
% 14.20/9.94 inference(monotonicity,[status(thm)],[20314])).
% 14.20/9.94 tff(20316,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s269) | (~until5(s269)) | xuntil6(s269))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s269) | node4(s269) | (~until5(s269)))),
% 14.20/9.94 inference(transitivity,[status(thm)],[20315, 20313])).
% 14.20/9.94 tff(20317,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s269) | (~until5(s269)) | xuntil6(s269))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20318,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s269) | node4(s269) | (~until5(s269))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 14.20/9.94 tff(20319,plain,
% 14.20/9.94 (xuntil6(s269) | (~until5(s269))),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20318, 294, 20312])).
% 14.20/9.94 tff(20320,plain,
% 14.20/9.94 (~until5(s269)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20319, 20299])).
% 14.20/9.94 tff(20321,plain,
% 14.20/9.94 (succ(s268, s269) <=> succ(s268, s269)),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20322,axiom,(succ(s268, s269)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound269')).
% 14.20/9.94 tff(20323,plain,
% 14.20/9.94 (succ(s268, s269)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20322, 20321])).
% 14.20/9.94 tff(20324,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20325,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20326,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20325, 20324])).
% 14.20/9.94 tff(20327,plain,
% 14.20/9.94 ((~xuntil6(s268)) | until5(s269)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20326, 20323, 312])).
% 14.20/9.94 tff(20328,plain,
% 14.20/9.94 (~xuntil6(s268)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20327, 20320])).
% 14.20/9.94 tff(20329,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20330,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20331,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20330, 20329])).
% 14.20/9.94 tff(20332,plain,
% 14.20/9.94 (trans(s268, s269)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20331, 20323, 52])).
% 14.20/9.94 tff(20333,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s268, s269)) | (~always3(s268)) | always3(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s268, s269)) | (~always3(s268)) | always3(s269))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20334,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s268, s269)) | (~always3(s268)) | always3(s269))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20335,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s268, s269)) | (~always3(s268)) | always3(s269)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 14.20/9.94 tff(20336,plain,
% 14.20/9.94 ((~always3(s268)) | always3(s269)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20335, 125, 20332])).
% 14.20/9.94 tff(20337,plain,
% 14.20/9.94 (~always3(s268)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20336, 20308])).
% 14.20/9.94 tff(20338,plain,
% 14.20/9.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s268) | (~node4(s268)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s268) | (~node4(s268)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20339,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s268) | (~node4(s268)))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20340,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s268) | (~node4(s268))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20339, 20338])).
% 14.20/9.94 tff(20341,plain,
% 14.20/9.94 (~node4(s268)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20340, 36, 20337])).
% 14.20/9.94 tff(20342,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s268) | node4(s268) | (~until5(s268)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s268) | node4(s268) | (~until5(s268)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20343,plain,
% 14.20/9.94 ((node4(s268) | (~until5(s268)) | xuntil6(s268)) <=> (xuntil6(s268) | node4(s268) | (~until5(s268)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20344,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s268) | (~until5(s268)) | xuntil6(s268))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s268) | node4(s268) | (~until5(s268))))),
% 14.20/9.94 inference(monotonicity,[status(thm)],[20343])).
% 14.20/9.94 tff(20345,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s268) | (~until5(s268)) | xuntil6(s268))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s268) | node4(s268) | (~until5(s268)))),
% 14.20/9.94 inference(transitivity,[status(thm)],[20344, 20342])).
% 14.20/9.94 tff(20346,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s268) | (~until5(s268)) | xuntil6(s268))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20347,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s268) | node4(s268) | (~until5(s268))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20346, 20345])).
% 14.20/9.94 tff(20348,plain,
% 14.20/9.94 (xuntil6(s268) | (~until5(s268))),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20347, 294, 20341])).
% 14.20/9.94 tff(20349,plain,
% 14.20/9.94 (~until5(s268)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20348, 20328])).
% 14.20/9.94 tff(20350,plain,
% 14.20/9.94 (succ(s267, s268) <=> succ(s267, s268)),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20351,axiom,(succ(s267, s268)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound268')).
% 14.20/9.94 tff(20352,plain,
% 14.20/9.94 (succ(s267, s268)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20351, 20350])).
% 14.20/9.94 tff(20353,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20354,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20355,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 14.20/9.94 tff(20356,plain,
% 14.20/9.94 ((~xuntil6(s267)) | until5(s268)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20355, 20352, 312])).
% 14.20/9.94 tff(20357,plain,
% 14.20/9.94 (~xuntil6(s267)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20356, 20349])).
% 14.20/9.94 tff(20358,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20359,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20360,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20359, 20358])).
% 14.20/9.94 tff(20361,plain,
% 14.20/9.94 (trans(s267, s268)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20360, 20352, 52])).
% 14.20/9.94 tff(20362,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s267, s268)) | (~always3(s267)) | always3(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s267, s268)) | (~always3(s267)) | always3(s268))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20363,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s267, s268)) | (~always3(s267)) | always3(s268))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20364,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s267, s268)) | (~always3(s267)) | always3(s268)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20363, 20362])).
% 14.20/9.94 tff(20365,plain,
% 14.20/9.94 ((~always3(s267)) | always3(s268)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20364, 125, 20361])).
% 14.20/9.94 tff(20366,plain,
% 14.20/9.94 (~always3(s267)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20365, 20337])).
% 14.20/9.94 tff(20367,plain,
% 14.20/9.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s267) | (~node4(s267)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s267) | (~node4(s267)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20368,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s267) | (~node4(s267)))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20369,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s267) | (~node4(s267))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20368, 20367])).
% 14.20/9.94 tff(20370,plain,
% 14.20/9.94 (~node4(s267)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20369, 36, 20366])).
% 14.20/9.94 tff(20371,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s267) | node4(s267) | (~until5(s267)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s267) | node4(s267) | (~until5(s267)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20372,plain,
% 14.20/9.94 ((node4(s267) | (~until5(s267)) | xuntil6(s267)) <=> (xuntil6(s267) | node4(s267) | (~until5(s267)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20373,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s267) | (~until5(s267)) | xuntil6(s267))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s267) | node4(s267) | (~until5(s267))))),
% 14.20/9.94 inference(monotonicity,[status(thm)],[20372])).
% 14.20/9.94 tff(20374,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s267) | (~until5(s267)) | xuntil6(s267))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s267) | node4(s267) | (~until5(s267)))),
% 14.20/9.94 inference(transitivity,[status(thm)],[20373, 20371])).
% 14.20/9.94 tff(20375,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s267) | (~until5(s267)) | xuntil6(s267))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20376,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s267) | node4(s267) | (~until5(s267))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20375, 20374])).
% 14.20/9.94 tff(20377,plain,
% 14.20/9.94 (xuntil6(s267) | (~until5(s267))),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20376, 294, 20370])).
% 14.20/9.94 tff(20378,plain,
% 14.20/9.94 (~until5(s267)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20377, 20357])).
% 14.20/9.94 tff(20379,plain,
% 14.20/9.94 (succ(s266, s267) <=> succ(s266, s267)),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20380,axiom,(succ(s266, s267)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound267')).
% 14.20/9.94 tff(20381,plain,
% 14.20/9.94 (succ(s266, s267)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20380, 20379])).
% 14.20/9.94 tff(20382,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20383,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20384,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20383, 20382])).
% 14.20/9.94 tff(20385,plain,
% 14.20/9.94 ((~xuntil6(s266)) | until5(s267)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20384, 20381, 312])).
% 14.20/9.94 tff(20386,plain,
% 14.20/9.94 (~xuntil6(s266)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20385, 20378])).
% 14.20/9.94 tff(20387,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20388,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20389,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20388, 20387])).
% 14.20/9.94 tff(20390,plain,
% 14.20/9.94 (trans(s266, s267)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20389, 20381, 52])).
% 14.20/9.94 tff(20391,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s266, s267)) | (~always3(s266)) | always3(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s266, s267)) | (~always3(s266)) | always3(s267))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20392,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s266, s267)) | (~always3(s266)) | always3(s267))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20393,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s266, s267)) | (~always3(s266)) | always3(s267)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20392, 20391])).
% 14.20/9.94 tff(20394,plain,
% 14.20/9.94 ((~always3(s266)) | always3(s267)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20393, 125, 20390])).
% 14.20/9.94 tff(20395,plain,
% 14.20/9.94 (~always3(s266)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20394, 20366])).
% 14.20/9.94 tff(20396,plain,
% 14.20/9.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s266) | (~node4(s266)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s266) | (~node4(s266)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20397,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s266) | (~node4(s266)))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20398,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s266) | (~node4(s266))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 14.20/9.94 tff(20399,plain,
% 14.20/9.94 (~node4(s266)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20398, 36, 20395])).
% 14.20/9.94 tff(20400,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s266) | node4(s266) | (~until5(s266)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s266) | node4(s266) | (~until5(s266)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20401,plain,
% 14.20/9.94 ((node4(s266) | (~until5(s266)) | xuntil6(s266)) <=> (xuntil6(s266) | node4(s266) | (~until5(s266)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20402,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s266) | (~until5(s266)) | xuntil6(s266))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s266) | node4(s266) | (~until5(s266))))),
% 14.20/9.94 inference(monotonicity,[status(thm)],[20401])).
% 14.20/9.94 tff(20403,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s266) | (~until5(s266)) | xuntil6(s266))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s266) | node4(s266) | (~until5(s266)))),
% 14.20/9.94 inference(transitivity,[status(thm)],[20402, 20400])).
% 14.20/9.94 tff(20404,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s266) | (~until5(s266)) | xuntil6(s266))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20405,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s266) | node4(s266) | (~until5(s266))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20404, 20403])).
% 14.20/9.94 tff(20406,plain,
% 14.20/9.94 (xuntil6(s266) | (~until5(s266))),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20405, 294, 20399])).
% 14.20/9.94 tff(20407,plain,
% 14.20/9.94 (~until5(s266)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20406, 20386])).
% 14.20/9.94 tff(20408,plain,
% 14.20/9.94 (succ(s265, s266) <=> succ(s265, s266)),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20409,axiom,(succ(s265, s266)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound266')).
% 14.20/9.94 tff(20410,plain,
% 14.20/9.94 (succ(s265, s266)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20409, 20408])).
% 14.20/9.94 tff(20411,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20412,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20413,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20412, 20411])).
% 14.20/9.94 tff(20414,plain,
% 14.20/9.94 ((~xuntil6(s265)) | until5(s266)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20413, 20410, 312])).
% 14.20/9.94 tff(20415,plain,
% 14.20/9.94 (~xuntil6(s265)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20414, 20407])).
% 14.20/9.94 tff(20416,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20417,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20418,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20417, 20416])).
% 14.20/9.94 tff(20419,plain,
% 14.20/9.94 (trans(s265, s266)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20418, 20410, 52])).
% 14.20/9.94 tff(20420,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s265, s266)) | (~always3(s265)) | always3(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s265, s266)) | (~always3(s265)) | always3(s266))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20421,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s265, s266)) | (~always3(s265)) | always3(s266))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20422,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s265, s266)) | (~always3(s265)) | always3(s266)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20421, 20420])).
% 14.20/9.94 tff(20423,plain,
% 14.20/9.94 ((~always3(s265)) | always3(s266)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20422, 125, 20419])).
% 14.20/9.94 tff(20424,plain,
% 14.20/9.94 (~always3(s265)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20423, 20395])).
% 14.20/9.94 tff(20425,plain,
% 14.20/9.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s265) | (~node4(s265)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s265) | (~node4(s265)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20426,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s265) | (~node4(s265)))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20427,plain,
% 14.20/9.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s265) | (~node4(s265))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 14.20/9.94 tff(20428,plain,
% 14.20/9.94 (~node4(s265)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20427, 36, 20424])).
% 14.20/9.94 tff(20429,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s265) | node4(s265) | (~until5(s265)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s265) | node4(s265) | (~until5(s265)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20430,plain,
% 14.20/9.94 ((node4(s265) | (~until5(s265)) | xuntil6(s265)) <=> (xuntil6(s265) | node4(s265) | (~until5(s265)))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20431,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s265) | (~until5(s265)) | xuntil6(s265))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s265) | node4(s265) | (~until5(s265))))),
% 14.20/9.94 inference(monotonicity,[status(thm)],[20430])).
% 14.20/9.94 tff(20432,plain,
% 14.20/9.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s265) | (~until5(s265)) | xuntil6(s265))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s265) | node4(s265) | (~until5(s265)))),
% 14.20/9.94 inference(transitivity,[status(thm)],[20431, 20429])).
% 14.20/9.94 tff(20433,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s265) | (~until5(s265)) | xuntil6(s265))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20434,plain,
% 14.20/9.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s265) | node4(s265) | (~until5(s265))),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20433, 20432])).
% 14.20/9.94 tff(20435,plain,
% 14.20/9.94 (xuntil6(s265) | (~until5(s265))),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20434, 294, 20428])).
% 14.20/9.94 tff(20436,plain,
% 14.20/9.94 (~until5(s265)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20435, 20415])).
% 14.20/9.94 tff(20437,plain,
% 14.20/9.94 (succ(s264, s265) <=> succ(s264, s265)),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20438,axiom,(succ(s264, s265)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound265')).
% 14.20/9.94 tff(20439,plain,
% 14.20/9.94 (succ(s264, s265)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20438, 20437])).
% 14.20/9.94 tff(20440,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20441,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20442,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265)),
% 14.20/9.94 inference(modus_ponens,[status(thm)],[20441, 20440])).
% 14.20/9.94 tff(20443,plain,
% 14.20/9.94 ((~xuntil6(s264)) | until5(s265)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20442, 20439, 312])).
% 14.20/9.94 tff(20444,plain,
% 14.20/9.94 (~xuntil6(s264)),
% 14.20/9.94 inference(unit_resolution,[status(thm)],[20443, 20436])).
% 14.20/9.94 tff(20445,plain,
% 14.20/9.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265))),
% 14.20/9.94 inference(rewrite,[status(thm)],[])).
% 14.20/9.94 tff(20446,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))),
% 14.20/9.94 inference(quant_inst,[status(thm)],[])).
% 14.20/9.94 tff(20447,plain,
% 14.20/9.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20446, 20445])).
% 14.20/9.95 tff(20448,plain,
% 14.20/9.95 (trans(s264, s265)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20447, 20439, 52])).
% 14.20/9.95 tff(20449,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s264, s265)) | (~always3(s264)) | always3(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s264, s265)) | (~always3(s264)) | always3(s265))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20450,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s264, s265)) | (~always3(s264)) | always3(s265))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20451,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s264, s265)) | (~always3(s264)) | always3(s265)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20450, 20449])).
% 14.20/9.95 tff(20452,plain,
% 14.20/9.95 ((~always3(s264)) | always3(s265)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20451, 125, 20448])).
% 14.20/9.95 tff(20453,plain,
% 14.20/9.95 (~always3(s264)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20452, 20424])).
% 14.20/9.95 tff(20454,plain,
% 14.20/9.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s264) | (~node4(s264)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s264) | (~node4(s264)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20455,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s264) | (~node4(s264)))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20456,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s264) | (~node4(s264))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20455, 20454])).
% 14.20/9.95 tff(20457,plain,
% 14.20/9.95 (~node4(s264)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20456, 36, 20453])).
% 14.20/9.95 tff(20458,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s264) | node4(s264) | (~until5(s264)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s264) | node4(s264) | (~until5(s264)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20459,plain,
% 14.20/9.95 ((node4(s264) | (~until5(s264)) | xuntil6(s264)) <=> (xuntil6(s264) | node4(s264) | (~until5(s264)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20460,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s264) | (~until5(s264)) | xuntil6(s264))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s264) | node4(s264) | (~until5(s264))))),
% 14.20/9.95 inference(monotonicity,[status(thm)],[20459])).
% 14.20/9.95 tff(20461,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s264) | (~until5(s264)) | xuntil6(s264))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s264) | node4(s264) | (~until5(s264)))),
% 14.20/9.95 inference(transitivity,[status(thm)],[20460, 20458])).
% 14.20/9.95 tff(20462,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s264) | (~until5(s264)) | xuntil6(s264))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20463,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s264) | node4(s264) | (~until5(s264))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20462, 20461])).
% 14.20/9.95 tff(20464,plain,
% 14.20/9.95 (xuntil6(s264) | (~until5(s264))),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20463, 294, 20457])).
% 14.20/9.95 tff(20465,plain,
% 14.20/9.95 (~until5(s264)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20464, 20444])).
% 14.20/9.95 tff(20466,plain,
% 14.20/9.95 (succ(s263, s264) <=> succ(s263, s264)),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20467,axiom,(succ(s263, s264)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound264')).
% 14.20/9.95 tff(20468,plain,
% 14.20/9.95 (succ(s263, s264)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20467, 20466])).
% 14.20/9.95 tff(20469,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20470,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20471,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20470, 20469])).
% 14.20/9.95 tff(20472,plain,
% 14.20/9.95 ((~xuntil6(s263)) | until5(s264)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20471, 20468, 312])).
% 14.20/9.95 tff(20473,plain,
% 14.20/9.95 (~xuntil6(s263)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20472, 20465])).
% 14.20/9.95 tff(20474,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20475,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20476,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20475, 20474])).
% 14.20/9.95 tff(20477,plain,
% 14.20/9.95 (trans(s263, s264)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20476, 20468, 52])).
% 14.20/9.95 tff(20478,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s263, s264)) | (~always3(s263)) | always3(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s263, s264)) | (~always3(s263)) | always3(s264))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20479,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s263, s264)) | (~always3(s263)) | always3(s264))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20480,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s263, s264)) | (~always3(s263)) | always3(s264)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20479, 20478])).
% 14.20/9.95 tff(20481,plain,
% 14.20/9.95 ((~always3(s263)) | always3(s264)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20480, 125, 20477])).
% 14.20/9.95 tff(20482,plain,
% 14.20/9.95 (~always3(s263)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20481, 20453])).
% 14.20/9.95 tff(20483,plain,
% 14.20/9.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s263) | (~node4(s263)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s263) | (~node4(s263)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20484,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s263) | (~node4(s263)))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20485,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s263) | (~node4(s263))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20484, 20483])).
% 14.20/9.95 tff(20486,plain,
% 14.20/9.95 (~node4(s263)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20485, 36, 20482])).
% 14.20/9.95 tff(20487,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s263) | node4(s263) | (~until5(s263)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s263) | node4(s263) | (~until5(s263)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20488,plain,
% 14.20/9.95 ((node4(s263) | (~until5(s263)) | xuntil6(s263)) <=> (xuntil6(s263) | node4(s263) | (~until5(s263)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20489,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s263) | (~until5(s263)) | xuntil6(s263))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s263) | node4(s263) | (~until5(s263))))),
% 14.20/9.95 inference(monotonicity,[status(thm)],[20488])).
% 14.20/9.95 tff(20490,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s263) | (~until5(s263)) | xuntil6(s263))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s263) | node4(s263) | (~until5(s263)))),
% 14.20/9.95 inference(transitivity,[status(thm)],[20489, 20487])).
% 14.20/9.95 tff(20491,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s263) | (~until5(s263)) | xuntil6(s263))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20492,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s263) | node4(s263) | (~until5(s263))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20491, 20490])).
% 14.20/9.95 tff(20493,plain,
% 14.20/9.95 (xuntil6(s263) | (~until5(s263))),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20492, 294, 20486])).
% 14.20/9.95 tff(20494,plain,
% 14.20/9.95 (~until5(s263)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20493, 20473])).
% 14.20/9.95 tff(20495,plain,
% 14.20/9.95 (succ(s262, s263) <=> succ(s262, s263)),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20496,axiom,(succ(s262, s263)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound263')).
% 14.20/9.95 tff(20497,plain,
% 14.20/9.95 (succ(s262, s263)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 14.20/9.95 tff(20498,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20499,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20500,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20499, 20498])).
% 14.20/9.95 tff(20501,plain,
% 14.20/9.95 ((~xuntil6(s262)) | until5(s263)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20500, 20497, 312])).
% 14.20/9.95 tff(20502,plain,
% 14.20/9.95 (~xuntil6(s262)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20501, 20494])).
% 14.20/9.95 tff(20503,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20504,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20505,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20504, 20503])).
% 14.20/9.95 tff(20506,plain,
% 14.20/9.95 (trans(s262, s263)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20505, 20497, 52])).
% 14.20/9.95 tff(20507,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s262, s263)) | (~always3(s262)) | always3(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s262, s263)) | (~always3(s262)) | always3(s263))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20508,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s262, s263)) | (~always3(s262)) | always3(s263))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20509,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s262, s263)) | (~always3(s262)) | always3(s263)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20508, 20507])).
% 14.20/9.95 tff(20510,plain,
% 14.20/9.95 ((~always3(s262)) | always3(s263)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20509, 125, 20506])).
% 14.20/9.95 tff(20511,plain,
% 14.20/9.95 (~always3(s262)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20510, 20482])).
% 14.20/9.95 tff(20512,plain,
% 14.20/9.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s262) | (~node4(s262)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s262) | (~node4(s262)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20513,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s262) | (~node4(s262)))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20514,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s262) | (~node4(s262))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20513, 20512])).
% 14.20/9.95 tff(20515,plain,
% 14.20/9.95 (~node4(s262)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20514, 36, 20511])).
% 14.20/9.95 tff(20516,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s262) | node4(s262) | (~until5(s262)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s262) | node4(s262) | (~until5(s262)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20517,plain,
% 14.20/9.95 ((node4(s262) | (~until5(s262)) | xuntil6(s262)) <=> (xuntil6(s262) | node4(s262) | (~until5(s262)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20518,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s262) | (~until5(s262)) | xuntil6(s262))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s262) | node4(s262) | (~until5(s262))))),
% 14.20/9.95 inference(monotonicity,[status(thm)],[20517])).
% 14.20/9.95 tff(20519,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s262) | (~until5(s262)) | xuntil6(s262))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s262) | node4(s262) | (~until5(s262)))),
% 14.20/9.95 inference(transitivity,[status(thm)],[20518, 20516])).
% 14.20/9.95 tff(20520,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s262) | (~until5(s262)) | xuntil6(s262))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20521,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s262) | node4(s262) | (~until5(s262))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20520, 20519])).
% 14.20/9.95 tff(20522,plain,
% 14.20/9.95 (xuntil6(s262) | (~until5(s262))),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20521, 294, 20515])).
% 14.20/9.95 tff(20523,plain,
% 14.20/9.95 (~until5(s262)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20522, 20502])).
% 14.20/9.95 tff(20524,plain,
% 14.20/9.95 (succ(s261, s262) <=> succ(s261, s262)),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20525,axiom,(succ(s261, s262)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound262')).
% 14.20/9.95 tff(20526,plain,
% 14.20/9.95 (succ(s261, s262)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 14.20/9.95 tff(20527,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20528,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20529,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20528, 20527])).
% 14.20/9.95 tff(20530,plain,
% 14.20/9.95 ((~xuntil6(s261)) | until5(s262)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20529, 20526, 312])).
% 14.20/9.95 tff(20531,plain,
% 14.20/9.95 (~xuntil6(s261)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20530, 20523])).
% 14.20/9.95 tff(20532,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20533,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20534,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20533, 20532])).
% 14.20/9.95 tff(20535,plain,
% 14.20/9.95 (trans(s261, s262)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20534, 20526, 52])).
% 14.20/9.95 tff(20536,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s261, s262)) | (~always3(s261)) | always3(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s261, s262)) | (~always3(s261)) | always3(s262))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20537,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s261, s262)) | (~always3(s261)) | always3(s262))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20538,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s261, s262)) | (~always3(s261)) | always3(s262)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20537, 20536])).
% 14.20/9.95 tff(20539,plain,
% 14.20/9.95 ((~always3(s261)) | always3(s262)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20538, 125, 20535])).
% 14.20/9.95 tff(20540,plain,
% 14.20/9.95 (~always3(s261)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20539, 20511])).
% 14.20/9.95 tff(20541,plain,
% 14.20/9.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s261) | (~node4(s261)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s261) | (~node4(s261)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20542,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s261) | (~node4(s261)))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20543,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s261) | (~node4(s261))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20542, 20541])).
% 14.20/9.95 tff(20544,plain,
% 14.20/9.95 (~node4(s261)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20543, 36, 20540])).
% 14.20/9.95 tff(20545,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s261) | node4(s261) | (~until5(s261)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s261) | node4(s261) | (~until5(s261)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20546,plain,
% 14.20/9.95 ((node4(s261) | (~until5(s261)) | xuntil6(s261)) <=> (xuntil6(s261) | node4(s261) | (~until5(s261)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20547,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s261) | (~until5(s261)) | xuntil6(s261))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s261) | node4(s261) | (~until5(s261))))),
% 14.20/9.95 inference(monotonicity,[status(thm)],[20546])).
% 14.20/9.95 tff(20548,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s261) | (~until5(s261)) | xuntil6(s261))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s261) | node4(s261) | (~until5(s261)))),
% 14.20/9.95 inference(transitivity,[status(thm)],[20547, 20545])).
% 14.20/9.95 tff(20549,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s261) | (~until5(s261)) | xuntil6(s261))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20550,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s261) | node4(s261) | (~until5(s261))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20549, 20548])).
% 14.20/9.95 tff(20551,plain,
% 14.20/9.95 (xuntil6(s261) | (~until5(s261))),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20550, 294, 20544])).
% 14.20/9.95 tff(20552,plain,
% 14.20/9.95 (~until5(s261)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20551, 20531])).
% 14.20/9.95 tff(20553,plain,
% 14.20/9.95 (succ(s260, s261) <=> succ(s260, s261)),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20554,axiom,(succ(s260, s261)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound261')).
% 14.20/9.95 tff(20555,plain,
% 14.20/9.95 (succ(s260, s261)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 14.20/9.95 tff(20556,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20557,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20558,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20557, 20556])).
% 14.20/9.95 tff(20559,plain,
% 14.20/9.95 ((~xuntil6(s260)) | until5(s261)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20558, 20555, 312])).
% 14.20/9.95 tff(20560,plain,
% 14.20/9.95 (~xuntil6(s260)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20559, 20552])).
% 14.20/9.95 tff(20561,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20562,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20563,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20562, 20561])).
% 14.20/9.95 tff(20564,plain,
% 14.20/9.95 (trans(s260, s261)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20563, 20555, 52])).
% 14.20/9.95 tff(20565,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s260, s261)) | (~always3(s260)) | always3(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s260, s261)) | (~always3(s260)) | always3(s261))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20566,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s260, s261)) | (~always3(s260)) | always3(s261))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20567,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s260, s261)) | (~always3(s260)) | always3(s261)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 14.20/9.95 tff(20568,plain,
% 14.20/9.95 ((~always3(s260)) | always3(s261)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20567, 125, 20564])).
% 14.20/9.95 tff(20569,plain,
% 14.20/9.95 (~always3(s260)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20568, 20540])).
% 14.20/9.95 tff(20570,plain,
% 14.20/9.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s260) | (~node4(s260)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s260) | (~node4(s260)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20571,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s260) | (~node4(s260)))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20572,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s260) | (~node4(s260))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20571, 20570])).
% 14.20/9.95 tff(20573,plain,
% 14.20/9.95 (~node4(s260)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20572, 36, 20569])).
% 14.20/9.95 tff(20574,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s260) | node4(s260) | (~until5(s260)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s260) | node4(s260) | (~until5(s260)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20575,plain,
% 14.20/9.95 ((node4(s260) | (~until5(s260)) | xuntil6(s260)) <=> (xuntil6(s260) | node4(s260) | (~until5(s260)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20576,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s260) | (~until5(s260)) | xuntil6(s260))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s260) | node4(s260) | (~until5(s260))))),
% 14.20/9.95 inference(monotonicity,[status(thm)],[20575])).
% 14.20/9.95 tff(20577,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s260) | (~until5(s260)) | xuntil6(s260))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s260) | node4(s260) | (~until5(s260)))),
% 14.20/9.95 inference(transitivity,[status(thm)],[20576, 20574])).
% 14.20/9.95 tff(20578,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s260) | (~until5(s260)) | xuntil6(s260))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20579,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s260) | node4(s260) | (~until5(s260))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20578, 20577])).
% 14.20/9.95 tff(20580,plain,
% 14.20/9.95 (xuntil6(s260) | (~until5(s260))),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20579, 294, 20573])).
% 14.20/9.95 tff(20581,plain,
% 14.20/9.95 (~until5(s260)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20580, 20560])).
% 14.20/9.95 tff(20582,plain,
% 14.20/9.95 (succ(s259, s260) <=> succ(s259, s260)),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20583,axiom,(succ(s259, s260)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound260')).
% 14.20/9.95 tff(20584,plain,
% 14.20/9.95 (succ(s259, s260)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20583, 20582])).
% 14.20/9.95 tff(20585,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20586,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20587,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20586, 20585])).
% 14.20/9.95 tff(20588,plain,
% 14.20/9.95 ((~xuntil6(s259)) | until5(s260)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20587, 20584, 312])).
% 14.20/9.95 tff(20589,plain,
% 14.20/9.95 (~xuntil6(s259)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20588, 20581])).
% 14.20/9.95 tff(20590,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20591,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20592,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20591, 20590])).
% 14.20/9.95 tff(20593,plain,
% 14.20/9.95 (trans(s259, s260)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20592, 20584, 52])).
% 14.20/9.95 tff(20594,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s259, s260)) | (~always3(s259)) | always3(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s259, s260)) | (~always3(s259)) | always3(s260))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20595,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s259, s260)) | (~always3(s259)) | always3(s260))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20596,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s259, s260)) | (~always3(s259)) | always3(s260)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20595, 20594])).
% 14.20/9.95 tff(20597,plain,
% 14.20/9.95 ((~always3(s259)) | always3(s260)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20596, 125, 20593])).
% 14.20/9.95 tff(20598,plain,
% 14.20/9.95 (~always3(s259)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20597, 20569])).
% 14.20/9.95 tff(20599,plain,
% 14.20/9.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s259) | (~node4(s259)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s259) | (~node4(s259)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20600,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s259) | (~node4(s259)))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20601,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s259) | (~node4(s259))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20600, 20599])).
% 14.20/9.95 tff(20602,plain,
% 14.20/9.95 (~node4(s259)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20601, 36, 20598])).
% 14.20/9.95 tff(20603,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s259) | node4(s259) | (~until5(s259)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s259) | node4(s259) | (~until5(s259)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20604,plain,
% 14.20/9.95 ((node4(s259) | (~until5(s259)) | xuntil6(s259)) <=> (xuntil6(s259) | node4(s259) | (~until5(s259)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20605,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s259) | (~until5(s259)) | xuntil6(s259))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s259) | node4(s259) | (~until5(s259))))),
% 14.20/9.95 inference(monotonicity,[status(thm)],[20604])).
% 14.20/9.95 tff(20606,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s259) | (~until5(s259)) | xuntil6(s259))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s259) | node4(s259) | (~until5(s259)))),
% 14.20/9.95 inference(transitivity,[status(thm)],[20605, 20603])).
% 14.20/9.95 tff(20607,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s259) | (~until5(s259)) | xuntil6(s259))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20608,plain,
% 14.20/9.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s259) | node4(s259) | (~until5(s259))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20607, 20606])).
% 14.20/9.95 tff(20609,plain,
% 14.20/9.95 (xuntil6(s259) | (~until5(s259))),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20608, 294, 20602])).
% 14.20/9.95 tff(20610,plain,
% 14.20/9.95 (~until5(s259)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20609, 20589])).
% 14.20/9.95 tff(20611,plain,
% 14.20/9.95 (succ(s258, s259) <=> succ(s258, s259)),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20612,axiom,(succ(s258, s259)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound259')).
% 14.20/9.95 tff(20613,plain,
% 14.20/9.95 (succ(s258, s259)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20612, 20611])).
% 14.20/9.95 tff(20614,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20615,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20616,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20615, 20614])).
% 14.20/9.95 tff(20617,plain,
% 14.20/9.95 ((~xuntil6(s258)) | until5(s259)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20616, 20613, 312])).
% 14.20/9.95 tff(20618,plain,
% 14.20/9.95 (~xuntil6(s258)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20617, 20610])).
% 14.20/9.95 tff(20619,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20620,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20621,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20620, 20619])).
% 14.20/9.95 tff(20622,plain,
% 14.20/9.95 (trans(s258, s259)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20621, 20613, 52])).
% 14.20/9.95 tff(20623,plain,
% 14.20/9.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s258, s259)) | (~always3(s258)) | always3(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s258, s259)) | (~always3(s258)) | always3(s259))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20624,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s258, s259)) | (~always3(s258)) | always3(s259))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20625,plain,
% 14.20/9.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s258, s259)) | (~always3(s258)) | always3(s259)),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20624, 20623])).
% 14.20/9.95 tff(20626,plain,
% 14.20/9.95 ((~always3(s258)) | always3(s259)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20625, 125, 20622])).
% 14.20/9.95 tff(20627,plain,
% 14.20/9.95 (~always3(s258)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20626, 20598])).
% 14.20/9.95 tff(20628,plain,
% 14.20/9.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s258) | (~node4(s258)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s258) | (~node4(s258)))),
% 14.20/9.95 inference(rewrite,[status(thm)],[])).
% 14.20/9.95 tff(20629,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s258) | (~node4(s258)))),
% 14.20/9.95 inference(quant_inst,[status(thm)],[])).
% 14.20/9.95 tff(20630,plain,
% 14.20/9.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s258) | (~node4(s258))),
% 14.20/9.95 inference(modus_ponens,[status(thm)],[20629, 20628])).
% 14.20/9.95 tff(20631,plain,
% 14.20/9.95 (~node4(s258)),
% 14.20/9.95 inference(unit_resolution,[status(thm)],[20630, 36, 20627])).
% 14.20/9.95 tff(20632,plain,
% 14.20/9.95 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s258) | node4(s258) | (~until5(s258)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s258) | node4(s258) | (~until5(s258)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20633,plain,
% 14.20/9.96 ((node4(s258) | (~until5(s258)) | xuntil6(s258)) <=> (xuntil6(s258) | node4(s258) | (~until5(s258)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20634,plain,
% 14.20/9.96 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s258) | (~until5(s258)) | xuntil6(s258))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s258) | node4(s258) | (~until5(s258))))),
% 14.20/9.96 inference(monotonicity,[status(thm)],[20633])).
% 14.20/9.96 tff(20635,plain,
% 14.20/9.96 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s258) | (~until5(s258)) | xuntil6(s258))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s258) | node4(s258) | (~until5(s258)))),
% 14.20/9.96 inference(transitivity,[status(thm)],[20634, 20632])).
% 14.20/9.96 tff(20636,plain,
% 14.20/9.96 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s258) | (~until5(s258)) | xuntil6(s258))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20637,plain,
% 14.20/9.96 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s258) | node4(s258) | (~until5(s258))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20636, 20635])).
% 14.20/9.96 tff(20638,plain,
% 14.20/9.96 (xuntil6(s258) | (~until5(s258))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20637, 294, 20631])).
% 14.20/9.96 tff(20639,plain,
% 14.20/9.96 (~until5(s258)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20638, 20618])).
% 14.20/9.96 tff(20640,plain,
% 14.20/9.96 (succ(s257, s258) <=> succ(s257, s258)),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20641,axiom,(succ(s257, s258)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound258')).
% 14.20/9.96 tff(20642,plain,
% 14.20/9.96 (succ(s257, s258)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 14.20/9.96 tff(20643,plain,
% 14.20/9.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20644,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20645,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20644, 20643])).
% 14.20/9.96 tff(20646,plain,
% 14.20/9.96 ((~xuntil6(s257)) | until5(s258)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20645, 20642, 312])).
% 14.20/9.96 tff(20647,plain,
% 14.20/9.96 (~xuntil6(s257)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20646, 20639])).
% 14.20/9.96 tff(20648,plain,
% 14.20/9.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20649,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20650,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20649, 20648])).
% 14.20/9.96 tff(20651,plain,
% 14.20/9.96 (trans(s257, s258)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20650, 20642, 52])).
% 14.20/9.96 tff(20652,plain,
% 14.20/9.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s257, s258)) | (~always3(s257)) | always3(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s257, s258)) | (~always3(s257)) | always3(s258))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20653,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s257, s258)) | (~always3(s257)) | always3(s258))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20654,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s257, s258)) | (~always3(s257)) | always3(s258)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20653, 20652])).
% 14.20/9.96 tff(20655,plain,
% 14.20/9.96 ((~always3(s257)) | always3(s258)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20654, 125, 20651])).
% 14.20/9.96 tff(20656,plain,
% 14.20/9.96 (~always3(s257)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20655, 20627])).
% 14.20/9.96 tff(20657,plain,
% 14.20/9.96 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s257) | (~node4(s257)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s257) | (~node4(s257)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20658,plain,
% 14.20/9.96 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s257) | (~node4(s257)))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20659,plain,
% 14.20/9.96 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s257) | (~node4(s257))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20658, 20657])).
% 14.20/9.96 tff(20660,plain,
% 14.20/9.96 (~node4(s257)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20659, 36, 20656])).
% 14.20/9.96 tff(20661,plain,
% 14.20/9.96 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s257) | node4(s257) | (~until5(s257)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s257) | node4(s257) | (~until5(s257)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20662,plain,
% 14.20/9.96 ((node4(s257) | (~until5(s257)) | xuntil6(s257)) <=> (xuntil6(s257) | node4(s257) | (~until5(s257)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20663,plain,
% 14.20/9.96 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s257) | (~until5(s257)) | xuntil6(s257))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s257) | node4(s257) | (~until5(s257))))),
% 14.20/9.96 inference(monotonicity,[status(thm)],[20662])).
% 14.20/9.96 tff(20664,plain,
% 14.20/9.96 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s257) | (~until5(s257)) | xuntil6(s257))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s257) | node4(s257) | (~until5(s257)))),
% 14.20/9.96 inference(transitivity,[status(thm)],[20663, 20661])).
% 14.20/9.96 tff(20665,plain,
% 14.20/9.96 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s257) | (~until5(s257)) | xuntil6(s257))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20666,plain,
% 14.20/9.96 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s257) | node4(s257) | (~until5(s257))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20665, 20664])).
% 14.20/9.96 tff(20667,plain,
% 14.20/9.96 (xuntil6(s257) | (~until5(s257))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20666, 294, 20660])).
% 14.20/9.96 tff(20668,plain,
% 14.20/9.96 (~until5(s257)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20667, 20647])).
% 14.20/9.96 tff(20669,plain,
% 14.20/9.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20670,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20671,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20670, 20669])).
% 14.20/9.96 tff(20672,plain,
% 14.20/9.96 ((~xuntil6(s256)) | until5(s257)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20671, 19904, 312])).
% 14.20/9.96 tff(20673,plain,
% 14.20/9.96 (~xuntil6(s256)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20672, 20668])).
% 14.20/9.96 tff(20674,plain,
% 14.20/9.96 (~always3(s256)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[19912, 20656])).
% 14.20/9.96 tff(20675,plain,
% 14.20/9.96 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s256) | (~node4(s256)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s256) | (~node4(s256)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20676,plain,
% 14.20/9.96 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s256) | (~node4(s256)))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20677,plain,
% 14.20/9.96 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s256) | (~node4(s256))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20676, 20675])).
% 14.20/9.96 tff(20678,plain,
% 14.20/9.96 (~node4(s256)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20677, 36, 20674])).
% 14.20/9.96 tff(20679,plain,
% 14.20/9.96 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s256) | node4(s256) | (~until5(s256)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s256) | node4(s256) | (~until5(s256)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20680,plain,
% 14.20/9.96 ((node4(s256) | (~until5(s256)) | xuntil6(s256)) <=> (xuntil6(s256) | node4(s256) | (~until5(s256)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20681,plain,
% 14.20/9.96 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s256) | (~until5(s256)) | xuntil6(s256))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s256) | node4(s256) | (~until5(s256))))),
% 14.20/9.96 inference(monotonicity,[status(thm)],[20680])).
% 14.20/9.96 tff(20682,plain,
% 14.20/9.96 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s256) | (~until5(s256)) | xuntil6(s256))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s256) | node4(s256) | (~until5(s256)))),
% 14.20/9.96 inference(transitivity,[status(thm)],[20681, 20679])).
% 14.20/9.96 tff(20683,plain,
% 14.20/9.96 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s256) | (~until5(s256)) | xuntil6(s256))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20684,plain,
% 14.20/9.96 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s256) | node4(s256) | (~until5(s256))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20683, 20682])).
% 14.20/9.96 tff(20685,plain,
% 14.20/9.96 (xuntil6(s256) | (~until5(s256))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20684, 294, 20678])).
% 14.20/9.96 tff(20686,plain,
% 14.20/9.96 (~until5(s256)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20685, 20673])).
% 14.20/9.96 tff(20687,plain,
% 14.20/9.96 (~xuntil6(s255)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[19898, 20686])).
% 14.20/9.96 tff(20688,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[19863, 20674])).
% 14.20/9.96 tff(20689,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[19687, 36, 20688])).
% 14.20/9.96 tff(20690,plain,
% 14.20/9.96 (xuntil6(s255) | (~until5(s255))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[19694, 294, 20689])).
% 14.20/9.96 tff(20691,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[20690, 20687])).
% 14.20/9.96 tff(20692,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[19678, 20691])).
% 14.20/9.96 tff(20693,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[19643, 20688])).
% 14.20/9.96 tff(20694,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[19631, 36, 20693])).
% 14.20/9.96 tff(20695,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[19672, 294, 20694])).
% 14.20/9.96 tff(20696,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[20695, 20692])).
% 14.20/9.96 tff(20697,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[19622, 20696])).
% 14.20/9.96 tff(20698,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[18295, 20693])).
% 14.20/9.96 tff(20699,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17239, 36, 20698])).
% 14.20/9.96 tff(20700,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17246, 294, 20699])).
% 14.20/9.96 tff(20701,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[20700, 20697])).
% 14.20/9.96 tff(20702,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17252, 20701])).
% 14.20/9.96 tff(20703,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17219, 20698])).
% 14.20/9.96 tff(20704,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17261, 36, 20703])).
% 14.20/9.96 tff(20705,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17297, 294, 20704])).
% 14.20/9.96 tff(20706,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[20705, 20702])).
% 14.20/9.96 tff(20707,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17303, 20706])).
% 14.20/9.96 tff(20708,plain,
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% 14.20/9.96 tff(20709,plain,
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% 14.20/9.96 tff(20710,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17310, 294, 20709])).
% 14.20/9.96 tff(20711,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[20710, 20707])).
% 14.20/9.96 tff(20712,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17336, 20708])).
% 14.20/9.96 tff(20713,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17390, 20712])).
% 14.20/9.96 tff(20714,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17419, 20713])).
% 14.20/9.96 tff(20715,plain,
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% 14.20/9.96 tff(20716,plain,
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% 14.20/9.96 tff(20717,plain,
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% 14.20/9.96 tff(20718,plain,
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% 14.20/9.96 tff(20719,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17564, 20718])).
% 14.20/9.96 tff(20720,plain,
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% 14.20/9.96 tff(20721,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17622, 20720])).
% 14.20/9.96 tff(20722,plain,
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% 14.20/9.96 tff(20723,plain,
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% 14.20/9.96 tff(20724,plain,
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% 14.20/9.96 tff(20725,plain,
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% 14.20/9.96 tff(20727,plain,
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% 14.20/9.96 tff(20728,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17820, 20727])).
% 14.20/9.96 tff(20729,plain,
% 14.20/9.96 (~always3(s233)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17832, 20728])).
% 14.20/9.96 tff(20730,plain,
% 14.20/9.96 (~always3(s232)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17844, 20729])).
% 14.20/9.96 tff(20731,plain,
% 14.20/9.96 (~always3(s231)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17856, 20730])).
% 14.20/9.96 tff(20732,plain,
% 14.20/9.96 (~always3(s230)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17868, 20731])).
% 14.20/9.96 tff(20733,plain,
% 14.20/9.96 (~always3(s229)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17880, 20732])).
% 14.20/9.96 tff(20734,plain,
% 14.20/9.96 (~always3(s228)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17892, 20733])).
% 14.20/9.96 tff(20735,plain,
% 14.20/9.96 (~always3(s227)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17904, 20734])).
% 14.20/9.96 tff(20736,plain,
% 14.20/9.96 (~always3(s226)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17916, 20735])).
% 14.20/9.96 tff(20737,plain,
% 14.20/9.96 (~always3(s225)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17928, 20736])).
% 14.20/9.96 tff(20738,plain,
% 14.20/9.96 (~always3(s224)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17940, 20737])).
% 14.20/9.96 tff(20739,plain,
% 14.20/9.96 (~always3(s223)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17952, 20738])).
% 14.20/9.96 tff(20740,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17964, 20739])).
% 14.20/9.96 tff(20741,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17968, 36, 20740])).
% 14.20/9.96 tff(20742,plain,
% 14.20/9.96 (~always3(s221)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17980, 20740])).
% 14.20/9.96 tff(20743,plain,
% 14.20/9.96 (~node4(s221)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17984, 36, 20742])).
% 14.20/9.96 tff(20744,plain,
% 14.20/9.96 (~always3(s220)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[15896, 20742])).
% 14.20/9.96 tff(20745,plain,
% 14.20/9.96 (xuntil6(s220)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[15877, 20744, 14862])).
% 14.20/9.96 tff(20746,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[17204, 20745])).
% 14.20/9.96 tff(20747,plain,
% 14.20/9.96 (xuntil6(s221) | node4(s221)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17991, 294, 20746])).
% 14.20/9.96 tff(20748,plain,
% 14.20/9.96 (xuntil6(s221)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20747, 20743])).
% 14.20/9.96 tff(20749,plain,
% 14.20/9.96 (until5(s222)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17997, 20748])).
% 14.20/9.96 tff(20750,plain,
% 14.20/9.96 (xuntil6(s222)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18004, 294, 20749, 20741])).
% 14.20/9.96 tff(20751,plain,
% 14.20/9.96 (until5(s223)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18009, 20750])).
% 14.20/9.96 tff(20752,plain,
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% 14.20/9.96 inference(unit_resolution,[status(thm)],[18013, 36, 20739])).
% 14.20/9.96 tff(20753,plain,
% 14.20/9.96 (xuntil6(s223) | (~until5(s223))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18020, 294, 20752])).
% 14.20/9.96 tff(20754,plain,
% 14.20/9.96 (xuntil6(s223)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20753, 20751])).
% 14.20/9.96 tff(20755,plain,
% 14.20/9.96 (until5(s224)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18026, 20754])).
% 14.20/9.96 tff(20756,plain,
% 14.20/9.96 (~node4(s224)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18030, 36, 20738])).
% 14.20/9.96 tff(20757,plain,
% 14.20/9.96 (xuntil6(s224) | (~until5(s224))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18037, 294, 20756])).
% 14.20/9.96 tff(20758,plain,
% 14.20/9.96 (xuntil6(s224)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20757, 20755])).
% 14.20/9.96 tff(20759,plain,
% 14.20/9.96 (until5(s225)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18043, 20758])).
% 14.20/9.96 tff(20760,plain,
% 14.20/9.96 (~node4(s225)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18047, 36, 20737])).
% 14.20/9.96 tff(20761,plain,
% 14.20/9.96 (xuntil6(s225) | (~until5(s225))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18054, 294, 20760])).
% 14.20/9.96 tff(20762,plain,
% 14.20/9.96 (xuntil6(s225)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20761, 20759])).
% 14.20/9.96 tff(20763,plain,
% 14.20/9.96 (until5(s226)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18060, 20762])).
% 14.20/9.96 tff(20764,plain,
% 14.20/9.96 (~node4(s226)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18064, 36, 20736])).
% 14.20/9.96 tff(20765,plain,
% 14.20/9.96 (xuntil6(s226) | (~until5(s226))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18071, 294, 20764])).
% 14.20/9.96 tff(20766,plain,
% 14.20/9.96 (xuntil6(s226)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20765, 20763])).
% 14.20/9.96 tff(20767,plain,
% 14.20/9.96 (until5(s227)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18077, 20766])).
% 14.20/9.96 tff(20768,plain,
% 14.20/9.96 (~node4(s227)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18081, 36, 20735])).
% 14.20/9.96 tff(20769,plain,
% 14.20/9.96 (xuntil6(s227) | (~until5(s227))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18088, 294, 20768])).
% 14.20/9.96 tff(20770,plain,
% 14.20/9.96 (xuntil6(s227)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20769, 20767])).
% 14.20/9.96 tff(20771,plain,
% 14.20/9.96 (until5(s228)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18094, 20770])).
% 14.20/9.96 tff(20772,plain,
% 14.20/9.96 (~node4(s228)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18098, 36, 20734])).
% 14.20/9.96 tff(20773,plain,
% 14.20/9.96 (xuntil6(s228) | (~until5(s228))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18105, 294, 20772])).
% 14.20/9.96 tff(20774,plain,
% 14.20/9.96 (xuntil6(s228)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20773, 20771])).
% 14.20/9.96 tff(20775,plain,
% 14.20/9.96 (until5(s229)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18111, 20774])).
% 14.20/9.96 tff(20776,plain,
% 14.20/9.96 (~node4(s229)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18115, 36, 20733])).
% 14.20/9.96 tff(20777,plain,
% 14.20/9.96 (xuntil6(s229) | (~until5(s229))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18122, 294, 20776])).
% 14.20/9.96 tff(20778,plain,
% 14.20/9.96 (xuntil6(s229)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20777, 20775])).
% 14.20/9.96 tff(20779,plain,
% 14.20/9.96 (until5(s230)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18128, 20778])).
% 14.20/9.96 tff(20780,plain,
% 14.20/9.96 (~node4(s230)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18132, 36, 20732])).
% 14.20/9.96 tff(20781,plain,
% 14.20/9.96 (xuntil6(s230) | (~until5(s230))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18139, 294, 20780])).
% 14.20/9.96 tff(20782,plain,
% 14.20/9.96 (xuntil6(s230)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20781, 20779])).
% 14.20/9.96 tff(20783,plain,
% 14.20/9.96 (until5(s231)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18145, 20782])).
% 14.20/9.96 tff(20784,plain,
% 14.20/9.96 (~node4(s231)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18149, 36, 20731])).
% 14.20/9.96 tff(20785,plain,
% 14.20/9.96 (xuntil6(s231) | (~until5(s231))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18156, 294, 20784])).
% 14.20/9.96 tff(20786,plain,
% 14.20/9.96 (xuntil6(s231)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20785, 20783])).
% 14.20/9.96 tff(20787,plain,
% 14.20/9.96 (until5(s232)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18162, 20786])).
% 14.20/9.96 tff(20788,plain,
% 14.20/9.96 (~node4(s232)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18166, 36, 20730])).
% 14.20/9.96 tff(20789,plain,
% 14.20/9.96 (xuntil6(s232) | (~until5(s232))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18173, 294, 20788])).
% 14.20/9.96 tff(20790,plain,
% 14.20/9.96 (xuntil6(s232)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20789, 20787])).
% 14.20/9.96 tff(20791,plain,
% 14.20/9.96 (until5(s233)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18179, 20790])).
% 14.20/9.96 tff(20792,plain,
% 14.20/9.96 (~node4(s233)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18183, 36, 20729])).
% 14.20/9.96 tff(20793,plain,
% 14.20/9.96 (xuntil6(s233) | (~until5(s233))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18190, 294, 20792])).
% 14.20/9.96 tff(20794,plain,
% 14.20/9.96 (xuntil6(s233)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20793, 20791])).
% 14.20/9.96 tff(20795,plain,
% 14.20/9.96 (until5(s234)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18196, 20794])).
% 14.20/9.96 tff(20796,plain,
% 14.20/9.96 (~node4(s234)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18200, 36, 20728])).
% 14.20/9.96 tff(20797,plain,
% 14.20/9.96 (xuntil6(s234) | (~until5(s234))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18207, 294, 20796])).
% 14.20/9.96 tff(20798,plain,
% 14.20/9.96 (xuntil6(s234)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20797, 20795])).
% 14.20/9.96 tff(20799,plain,
% 14.20/9.96 (until5(s235)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18213, 20798])).
% 14.20/9.96 tff(20800,plain,
% 14.20/9.96 (~node4(s235)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18217, 36, 20727])).
% 14.20/9.96 tff(20801,plain,
% 14.20/9.96 (xuntil6(s235) | (~until5(s235))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18224, 294, 20800])).
% 14.20/9.96 tff(20802,plain,
% 14.20/9.96 (xuntil6(s235)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20801, 20799])).
% 14.20/9.96 tff(20803,plain,
% 14.20/9.96 (until5(s236)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18230, 20802])).
% 14.20/9.96 tff(20804,plain,
% 14.20/9.96 (~node4(s236)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18239, 36, 20726])).
% 14.20/9.96 tff(20805,plain,
% 14.20/9.96 (xuntil6(s236) | (~until5(s236))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18275, 294, 20804])).
% 14.20/9.96 tff(20806,plain,
% 14.20/9.96 (xuntil6(s236)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20805, 20803])).
% 14.20/9.96 tff(20807,plain,
% 14.20/9.96 (until5(s237)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[18281, 20806])).
% 14.20/9.96 tff(20808,plain,
% 14.20/9.96 (~node4(s237)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17776, 36, 20725])).
% 14.20/9.96 tff(20809,plain,
% 14.20/9.96 (xuntil6(s237) | (~until5(s237))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17783, 294, 20808])).
% 14.20/9.96 tff(20810,plain,
% 14.20/9.96 (xuntil6(s237)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20809, 20807])).
% 14.20/9.96 tff(20811,plain,
% 14.20/9.96 (until5(s238)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17763, 20810])).
% 14.20/9.96 tff(20812,plain,
% 14.20/9.96 (~node4(s238)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17747, 36, 20724])).
% 14.20/9.96 tff(20813,plain,
% 14.20/9.96 (xuntil6(s238) | (~until5(s238))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17754, 294, 20812])).
% 14.20/9.96 tff(20814,plain,
% 14.20/9.96 (xuntil6(s238)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20813, 20811])).
% 14.20/9.96 tff(20815,plain,
% 14.20/9.96 (until5(s239)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17733, 20814])).
% 14.20/9.96 tff(20816,plain,
% 14.20/9.96 (~node4(s239)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17680, 36, 20723])).
% 14.20/9.96 tff(20817,plain,
% 14.20/9.96 (xuntil6(s239) | (~until5(s239))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17724, 294, 20816])).
% 14.20/9.96 tff(20818,plain,
% 14.20/9.96 (xuntil6(s239)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20817, 20815])).
% 14.20/9.96 tff(20819,plain,
% 14.20/9.96 (until5(s240)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17671, 20818])).
% 14.20/9.96 tff(20820,plain,
% 14.20/9.96 (~node4(s240)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17655, 36, 20722])).
% 14.20/9.96 tff(20821,plain,
% 14.20/9.96 (xuntil6(s240) | (~until5(s240))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17662, 294, 20820])).
% 14.20/9.96 tff(20822,plain,
% 14.20/9.96 (xuntil6(s240)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20821, 20819])).
% 14.20/9.96 tff(20823,plain,
% 14.20/9.96 (until5(s241)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17642, 20822])).
% 14.20/9.96 tff(20824,plain,
% 14.20/9.96 (~node4(s241)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17626, 36, 20721])).
% 14.20/9.96 tff(20825,plain,
% 14.20/9.96 (xuntil6(s241) | (~until5(s241))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17633, 294, 20824])).
% 14.20/9.96 tff(20826,plain,
% 14.20/9.96 (xuntil6(s241)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20825, 20823])).
% 14.20/9.96 tff(20827,plain,
% 14.20/9.96 (until5(s242)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17613, 20826])).
% 14.20/9.96 tff(20828,plain,
% 14.20/9.96 (~node4(s242)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17597, 36, 20720])).
% 14.20/9.96 tff(20829,plain,
% 14.20/9.96 (xuntil6(s242) | (~until5(s242))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17604, 294, 20828])).
% 14.20/9.96 tff(20830,plain,
% 14.20/9.96 (xuntil6(s242)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20829, 20827])).
% 14.20/9.96 tff(20831,plain,
% 14.20/9.96 (until5(s243)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17584, 20830])).
% 14.20/9.96 tff(20832,plain,
% 14.20/9.96 (~node4(s243)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17568, 36, 20719])).
% 14.20/9.96 tff(20833,plain,
% 14.20/9.96 (xuntil6(s243) | (~until5(s243))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17575, 294, 20832])).
% 14.20/9.96 tff(20834,plain,
% 14.20/9.96 (xuntil6(s243)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20833, 20831])).
% 14.20/9.96 tff(20835,plain,
% 14.20/9.96 (until5(s244)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17555, 20834])).
% 14.20/9.96 tff(20836,plain,
% 14.20/9.96 (~node4(s244)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17539, 36, 20718])).
% 14.20/9.96 tff(20837,plain,
% 14.20/9.96 (xuntil6(s244) | (~until5(s244))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17546, 294, 20836])).
% 14.20/9.96 tff(20838,plain,
% 14.20/9.96 (xuntil6(s244)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20837, 20835])).
% 14.20/9.96 tff(20839,plain,
% 14.20/9.96 (until5(s245)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17526, 20838])).
% 14.20/9.96 tff(20840,plain,
% 14.20/9.96 (~node4(s245)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17510, 36, 20717])).
% 14.20/9.96 tff(20841,plain,
% 14.20/9.96 (xuntil6(s245) | (~until5(s245))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17517, 294, 20840])).
% 14.20/9.96 tff(20842,plain,
% 14.20/9.96 (xuntil6(s245)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20841, 20839])).
% 14.20/9.96 tff(20843,plain,
% 14.20/9.96 (until5(s246)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17497, 20842])).
% 14.20/9.96 tff(20844,plain,
% 14.20/9.96 (~node4(s246)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17481, 36, 20716])).
% 14.20/9.96 tff(20845,plain,
% 14.20/9.96 (xuntil6(s246) | (~until5(s246))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17488, 294, 20844])).
% 14.20/9.96 tff(20846,plain,
% 14.20/9.96 (xuntil6(s246)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20845, 20843])).
% 14.20/9.96 tff(20847,plain,
% 14.20/9.96 (until5(s247)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17468, 20846])).
% 14.20/9.96 tff(20848,plain,
% 14.20/9.96 (~node4(s247)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17452, 36, 20715])).
% 14.20/9.96 tff(20849,plain,
% 14.20/9.96 (xuntil6(s247) | (~until5(s247))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17459, 294, 20848])).
% 14.20/9.96 tff(20850,plain,
% 14.20/9.96 (xuntil6(s247)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20849, 20847])).
% 14.20/9.96 tff(20851,plain,
% 14.20/9.96 (until5(s248)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17439, 20850])).
% 14.20/9.96 tff(20852,plain,
% 14.20/9.96 (~node4(s248)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17423, 36, 20714])).
% 14.20/9.96 tff(20853,plain,
% 14.20/9.96 (xuntil6(s248) | (~until5(s248))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17430, 294, 20852])).
% 14.20/9.96 tff(20854,plain,
% 14.20/9.96 (xuntil6(s248)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20853, 20851])).
% 14.20/9.96 tff(20855,plain,
% 14.20/9.96 (until5(s249)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17410, 20854])).
% 14.20/9.96 tff(20856,plain,
% 14.20/9.96 (~node4(s249)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17394, 36, 20713])).
% 14.20/9.96 tff(20857,plain,
% 14.20/9.96 (xuntil6(s249) | (~until5(s249))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17401, 294, 20856])).
% 14.20/9.96 tff(20858,plain,
% 14.20/9.96 (xuntil6(s249)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20857, 20855])).
% 14.20/9.96 tff(20859,plain,
% 14.20/9.96 (until5(s250)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17380, 20858])).
% 14.20/9.96 tff(20860,plain,
% 14.20/9.96 (~node4(s250)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17327, 36, 20712])).
% 14.20/9.96 tff(20861,plain,
% 14.20/9.96 (xuntil6(s250) | (~until5(s250))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17371, 294, 20860])).
% 14.20/9.96 tff(20862,plain,
% 14.20/9.96 (xuntil6(s250)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20861, 20859])).
% 14.20/9.96 tff(20863,plain,
% 14.20/9.96 ($false),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[17318, 20862, 20711])).
% 14.20/9.96 tff(20864,plain,(always3(s280) | xuntil6(s280) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.96 tff(20865,plain,
% 14.20/9.96 (always3(s280)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20864, 19900, 14862])).
% 14.20/9.96 tff(20866,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s280)) | (~m_main_v_state(s280, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s280)) | (~m_main_v_state(s280, c_busy)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20867,plain,
% 14.20/9.96 (((~m_main_v_state(s280, c_busy)) | (~always3(s280))) <=> ((~always3(s280)) | (~m_main_v_state(s280, c_busy)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20868,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s280, c_busy)) | (~always3(s280)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s280)) | (~m_main_v_state(s280, c_busy))))),
% 14.20/9.96 inference(monotonicity,[status(thm)],[20867])).
% 14.20/9.96 tff(20869,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s280, c_busy)) | (~always3(s280)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s280)) | (~m_main_v_state(s280, c_busy)))),
% 14.20/9.96 inference(transitivity,[status(thm)],[20868, 20866])).
% 14.20/9.96 tff(20870,plain,
% 14.20/9.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s280, c_busy)) | (~always3(s280)))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20871,plain,
% 14.20/9.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s280)) | (~m_main_v_state(s280, c_busy))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20870, 20869])).
% 14.20/9.96 tff(20872,plain,
% 14.20/9.96 (~m_main_v_state(s280, c_busy)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20871, 85, 20865])).
% 14.20/9.96 tff(20873,assumption,(~xuntil6(s279)), introduced(assumption)).
% 14.20/9.96 tff(20874,assumption,(~always3(s279)), introduced(assumption)).
% 14.20/9.96 tff(20875,plain,
% 14.20/9.96 (~always3(s278)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20046, 20874])).
% 14.20/9.96 tff(20876,plain,
% 14.20/9.96 (~always3(s277)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20075, 20875])).
% 14.20/9.96 tff(20877,plain,
% 14.20/9.96 (~always3(s276)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20104, 20876])).
% 14.20/9.96 tff(20878,plain,
% 14.20/9.96 (~always3(s275)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20133, 20877])).
% 14.20/9.96 tff(20879,plain,
% 14.20/9.96 (~node4(s275)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20137, 36, 20878])).
% 14.20/9.96 tff(20880,plain,
% 14.20/9.96 (~always3(s274)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20162, 20878])).
% 14.20/9.96 tff(20881,plain,
% 14.20/9.96 (~node4(s274)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20166, 36, 20880])).
% 14.20/9.96 tff(20882,plain,
% 14.20/9.96 (xuntil6(s274) | node4(s274)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20173, 294, 19989])).
% 14.20/9.96 tff(20883,plain,
% 14.20/9.96 (xuntil6(s274)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20882, 20881])).
% 14.20/9.96 tff(20884,plain,
% 14.20/9.96 (until5(s275)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20153, 20883])).
% 14.20/9.96 tff(20885,plain,
% 14.20/9.96 (xuntil6(s275)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20144, 294, 20884, 20879])).
% 14.20/9.96 tff(20886,plain,
% 14.20/9.96 (until5(s276)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20124, 20885])).
% 14.20/9.96 tff(20887,plain,
% 14.20/9.96 (~node4(s276)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20108, 36, 20877])).
% 14.20/9.96 tff(20888,plain,
% 14.20/9.96 (xuntil6(s276) | (~until5(s276))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20115, 294, 20887])).
% 14.20/9.96 tff(20889,plain,
% 14.20/9.96 (xuntil6(s276)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20888, 20886])).
% 14.20/9.96 tff(20890,plain,
% 14.20/9.96 (until5(s277)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20095, 20889])).
% 14.20/9.96 tff(20891,plain,
% 14.20/9.96 (~node4(s277)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20079, 36, 20876])).
% 14.20/9.96 tff(20892,plain,
% 14.20/9.96 (xuntil6(s277) | (~until5(s277))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20086, 294, 20891])).
% 14.20/9.96 tff(20893,plain,
% 14.20/9.96 (xuntil6(s277)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20892, 20890])).
% 14.20/9.96 tff(20894,plain,
% 14.20/9.96 (until5(s278)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20066, 20893])).
% 14.20/9.96 tff(20895,plain,
% 14.20/9.96 (~node4(s278)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20050, 36, 20875])).
% 14.20/9.96 tff(20896,plain,
% 14.20/9.96 (xuntil6(s278) | (~until5(s278))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20057, 294, 20895])).
% 14.20/9.96 tff(20897,plain,
% 14.20/9.96 (xuntil6(s278)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20896, 20894])).
% 14.20/9.96 tff(20898,plain,
% 14.20/9.96 (until5(s279)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20037, 20897])).
% 14.20/9.96 tff(20899,plain,
% 14.20/9.96 (node4(s279) | (~until5(s279))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20029, 294, 20873])).
% 14.20/9.96 tff(20900,plain,
% 14.20/9.96 (node4(s279)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20899, 20898])).
% 14.20/9.96 tff(20901,plain,
% 14.20/9.96 ($false),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20005, 36, 20874, 20900])).
% 14.20/9.96 tff(20902,plain,(always3(s279) | xuntil6(s279) | (~until5(s274))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.96 tff(20903,plain,
% 14.20/9.96 (always3(s279)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20902, 19989, 20873])).
% 14.20/9.96 tff(20904,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s279)) | (~m_main_v_state(s279, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s279)) | (~m_main_v_state(s279, c_busy)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20905,plain,
% 14.20/9.96 (((~m_main_v_state(s279, c_busy)) | (~always3(s279))) <=> ((~always3(s279)) | (~m_main_v_state(s279, c_busy)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20906,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s279, c_busy)) | (~always3(s279)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s279)) | (~m_main_v_state(s279, c_busy))))),
% 14.20/9.96 inference(monotonicity,[status(thm)],[20905])).
% 14.20/9.96 tff(20907,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s279, c_busy)) | (~always3(s279)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s279)) | (~m_main_v_state(s279, c_busy)))),
% 14.20/9.96 inference(transitivity,[status(thm)],[20906, 20904])).
% 14.20/9.96 tff(20908,plain,
% 14.20/9.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s279, c_busy)) | (~always3(s279)))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20909,plain,
% 14.20/9.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s279)) | (~m_main_v_state(s279, c_busy))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20908, 20907])).
% 14.20/9.96 tff(20910,plain,
% 14.20/9.96 (~m_main_v_state(s279, c_busy)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20909, 85, 20903])).
% 14.20/9.96 tff(20911,assumption,(~m_main_v_state(s280, c_busy)), introduced(assumption)).
% 14.20/9.96 tff(20912,plain,
% 14.20/9.96 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s279, c_busy) | m_main_v_state(s279, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s279, c_busy) | m_main_v_state(s279, c_ready))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20913,plain,
% 14.20/9.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s279, c_busy) | m_main_v_state(s279, c_ready))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20914,plain,
% 14.20/9.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s279, c_busy) | m_main_v_state(s279, c_ready)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20913, 20912])).
% 14.20/9.96 tff(20915,plain,
% 14.20/9.96 (m_main_v_state(s279, c_ready)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20914, 102, 20910])).
% 14.20/9.96 tff(20916,plain,
% 14.20/9.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s279, s280)) | node2(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s279, s280)) | node2(s279, s280))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20917,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s279, s280)) | node2(s279, s280))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20918,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s279, s280)) | node2(s279, s280)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20917, 20916])).
% 14.20/9.96 tff(20919,plain,
% 14.20/9.96 (node2(s279, s280)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20918, 7, 19997])).
% 14.20/9.96 tff(20920,plain,
% 14.20/9.96 (((~![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(s279, c_ready)) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s279, c_ready)) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20921,plain,
% 14.20/9.96 ((~![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(s279, c_ready)) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279)))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20922,plain,
% 14.20/9.96 ((~![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(s279, c_ready)) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20921, 20920])).
% 14.20/9.96 tff(20923,plain,
% 14.20/9.96 ((~m_main_v_state(s279, c_ready)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20922, 73, 20919])).
% 14.20/9.96 tff(20924,plain,
% 14.20/9.96 (~m_main_v_request(s279)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20923, 20915, 20911])).
% 14.20/9.96 tff(20925,plain,
% 14.20/9.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s279) | (~node4(s279)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s279) | (~node4(s279)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20926,plain,
% 14.20/9.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s279) | (~node4(s279)))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20927,plain,
% 14.20/9.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s279) | (~node4(s279))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20926, 20925])).
% 14.20/9.96 tff(20928,plain,
% 14.20/9.96 (~node4(s279)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20927, 21, 20924])).
% 14.20/9.96 tff(20929,plain,
% 14.20/9.96 (~until5(s279)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20899, 20928])).
% 14.20/9.96 tff(20930,plain,
% 14.20/9.96 (~xuntil6(s278)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20037, 20929])).
% 14.20/9.96 tff(20931,assumption,(~xuntil6(s278)), introduced(assumption)).
% 14.20/9.96 tff(20932,assumption,(until5(s277)), introduced(assumption)).
% 14.20/9.96 tff(20933,assumption,(~always3(s278)), introduced(assumption)).
% 14.20/9.96 tff(20934,plain,
% 14.20/9.96 (~always3(s277)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20075, 20933])).
% 14.20/9.96 tff(20935,plain,
% 14.20/9.96 (~node4(s277)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20079, 36, 20934])).
% 14.20/9.96 tff(20936,plain,
% 14.20/9.96 (xuntil6(s277) | node4(s277)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20086, 294, 20932])).
% 14.20/9.96 tff(20937,plain,
% 14.20/9.96 (xuntil6(s277)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20936, 20935])).
% 14.20/9.96 tff(20938,plain,
% 14.20/9.96 (until5(s278)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20066, 20937])).
% 14.20/9.96 tff(20939,plain,
% 14.20/9.96 (node4(s278) | (~until5(s278))),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20057, 294, 20931])).
% 14.20/9.96 tff(20940,plain,
% 14.20/9.96 (node4(s278)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20939, 20938])).
% 14.20/9.96 tff(20941,plain,
% 14.20/9.96 ($false),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20050, 36, 20933, 20940])).
% 14.20/9.96 tff(20942,plain,(always3(s278) | xuntil6(s278) | (~until5(s277))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.96 tff(20943,plain,
% 14.20/9.96 (always3(s278)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20942, 20932, 20931])).
% 14.20/9.96 tff(20944,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s278)) | (~m_main_v_state(s278, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s278)) | (~m_main_v_state(s278, c_busy)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20945,plain,
% 14.20/9.96 (((~m_main_v_state(s278, c_busy)) | (~always3(s278))) <=> ((~always3(s278)) | (~m_main_v_state(s278, c_busy)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20946,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s278, c_busy)) | (~always3(s278)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s278)) | (~m_main_v_state(s278, c_busy))))),
% 14.20/9.96 inference(monotonicity,[status(thm)],[20945])).
% 14.20/9.96 tff(20947,plain,
% 14.20/9.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s278, c_busy)) | (~always3(s278)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s278)) | (~m_main_v_state(s278, c_busy)))),
% 14.20/9.96 inference(transitivity,[status(thm)],[20946, 20944])).
% 14.20/9.96 tff(20948,plain,
% 14.20/9.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s278, c_busy)) | (~always3(s278)))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20949,plain,
% 14.20/9.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s278)) | (~m_main_v_state(s278, c_busy))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20948, 20947])).
% 14.20/9.96 tff(20950,plain,
% 14.20/9.96 (~m_main_v_state(s278, c_busy)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20949, 85, 20943])).
% 14.20/9.96 tff(20951,assumption,(~m_main_v_state(s279, c_busy)), introduced(assumption)).
% 14.20/9.96 tff(20952,plain,
% 14.20/9.96 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s278, c_busy) | m_main_v_state(s278, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s278, c_busy) | m_main_v_state(s278, c_ready))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20953,plain,
% 14.20/9.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s278, c_busy) | m_main_v_state(s278, c_ready))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20954,plain,
% 14.20/9.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s278, c_busy) | m_main_v_state(s278, c_ready)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20953, 20952])).
% 14.20/9.96 tff(20955,plain,
% 14.20/9.96 (m_main_v_state(s278, c_ready)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20954, 102, 20950])).
% 14.20/9.96 tff(20956,plain,
% 14.20/9.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s278, s279)) | node2(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s278, s279)) | node2(s278, s279))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20957,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s278, s279)) | node2(s278, s279))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20958,plain,
% 14.20/9.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s278, s279)) | node2(s278, s279)),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 14.20/9.96 tff(20959,plain,
% 14.20/9.96 (node2(s278, s279)),
% 14.20/9.96 inference(unit_resolution,[status(thm)],[20958, 7, 20042])).
% 14.20/9.96 tff(20960,plain,
% 14.20/9.96 (((~![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(s278, c_ready)) | (~node2(s278, s279)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s278, c_ready)) | (~node2(s278, s279)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278)))),
% 14.20/9.96 inference(rewrite,[status(thm)],[])).
% 14.20/9.96 tff(20961,plain,
% 14.20/9.96 ((~![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(s278, c_ready)) | (~node2(s278, s279)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278)))),
% 14.20/9.96 inference(quant_inst,[status(thm)],[])).
% 14.20/9.96 tff(20962,plain,
% 14.20/9.96 ((~![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(s278, c_ready)) | (~node2(s278, s279)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278))),
% 14.20/9.96 inference(modus_ponens,[status(thm)],[20961, 20960])).
% 14.20/9.96 tff(20963,plain,
% 14.20/9.96 ((~m_main_v_state(s278, c_ready)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20962, 73, 20959])).
% 14.20/9.97 tff(20964,plain,
% 14.20/9.97 (~m_main_v_request(s278)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20963, 20955, 20951])).
% 14.20/9.97 tff(20965,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s278) | (~node4(s278)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s278) | (~node4(s278)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(20966,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s278) | (~node4(s278)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(20967,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s278) | (~node4(s278))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[20966, 20965])).
% 14.20/9.97 tff(20968,plain,
% 14.20/9.97 (~node4(s278)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20967, 21, 20964])).
% 14.20/9.97 tff(20969,plain,
% 14.20/9.97 (~until5(s278)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20939, 20968])).
% 14.20/9.97 tff(20970,plain,
% 14.20/9.97 (~xuntil6(s277)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20066, 20969])).
% 14.20/9.97 tff(20971,plain,
% 14.20/9.97 (node4(s277)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20936, 20970])).
% 14.20/9.97 tff(20972,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s277) | (~node4(s277)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s277) | (~node4(s277)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(20973,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s277) | (~node4(s277)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(20974,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s277) | (~node4(s277))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[20973, 20972])).
% 14.20/9.97 tff(20975,plain,
% 14.20/9.97 (m_main_v_request(s277)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20974, 21, 20971])).
% 14.20/9.97 tff(20976,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s277, s278)) | node2(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s277, s278)) | node2(s277, s278))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(20977,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s277, s278)) | node2(s277, s278))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(20978,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s277, s278)) | node2(s277, s278)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[20977, 20976])).
% 14.20/9.97 tff(20979,plain,
% 14.20/9.97 (node2(s277, s278)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20978, 7, 20071])).
% 14.20/9.97 tff(20980,plain,
% 14.20/9.97 (((~![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(s277, c_ready)) | (~node2(s277, s278)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s277, c_ready)) | (~node2(s277, s278)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(20981,plain,
% 14.20/9.97 ((~![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(s277, c_ready)) | (~node2(s277, s278)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(20982,plain,
% 14.20/9.97 ((~![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(s277, c_ready)) | (~node2(s277, s278)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[20981, 20980])).
% 14.20/9.97 tff(20983,plain,
% 14.20/9.97 ((~m_main_v_state(s277, c_ready)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20982, 73, 20979])).
% 14.20/9.97 tff(20984,plain,
% 14.20/9.97 (~m_main_v_state(s277, c_ready)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20983, 20975, 20950])).
% 14.20/9.97 tff(20985,plain,
% 14.20/9.97 (always3(s277)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20079, 36, 20971])).
% 14.20/9.97 tff(20986,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s277)) | (~m_main_v_state(s277, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s277)) | (~m_main_v_state(s277, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(20987,plain,
% 14.20/9.97 (((~m_main_v_state(s277, c_busy)) | (~always3(s277))) <=> ((~always3(s277)) | (~m_main_v_state(s277, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(20988,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s277, c_busy)) | (~always3(s277)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s277)) | (~m_main_v_state(s277, c_busy))))),
% 14.20/9.97 inference(monotonicity,[status(thm)],[20987])).
% 14.20/9.97 tff(20989,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s277, c_busy)) | (~always3(s277)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s277)) | (~m_main_v_state(s277, c_busy)))),
% 14.20/9.97 inference(transitivity,[status(thm)],[20988, 20986])).
% 14.20/9.97 tff(20990,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s277, c_busy)) | (~always3(s277)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(20991,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s277)) | (~m_main_v_state(s277, c_busy))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[20990, 20989])).
% 14.20/9.97 tff(20992,plain,
% 14.20/9.97 (~m_main_v_state(s277, c_busy)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20991, 85, 20985])).
% 14.20/9.97 tff(20993,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s277, c_busy) | m_main_v_state(s277, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s277, c_busy) | m_main_v_state(s277, c_ready))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(20994,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s277, c_busy) | m_main_v_state(s277, c_ready))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(20995,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s277, c_busy) | m_main_v_state(s277, c_ready)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[20994, 20993])).
% 14.20/9.97 tff(20996,plain,
% 14.20/9.97 ($false),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20995, 102, 20992, 20984])).
% 14.20/9.97 tff(20997,plain,((~until5(s277)) | xuntil6(s278) | m_main_v_state(s279, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.97 tff(20998,plain,
% 14.20/9.97 (~until5(s277)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20997, 20930, 20910])).
% 14.20/9.97 tff(20999,plain,
% 14.20/9.97 (~xuntil6(s276)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20095, 20998])).
% 14.20/9.97 tff(21000,assumption,(~always3(s276)), introduced(assumption)).
% 14.20/9.97 tff(21001,plain,
% 14.20/9.97 (~always3(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20133, 21000])).
% 14.20/9.97 tff(21002,plain,
% 14.20/9.97 (~node4(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20137, 36, 21001])).
% 14.20/9.97 tff(21003,plain,
% 14.20/9.97 (~node4(s276)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20108, 36, 21000])).
% 14.20/9.97 tff(21004,assumption,(~xuntil6(s276)), introduced(assumption)).
% 14.20/9.97 tff(21005,plain,
% 14.20/9.97 (node4(s276) | (~until5(s276))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20115, 294, 21004])).
% 14.20/9.97 tff(21006,plain,
% 14.20/9.97 (~until5(s276)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21005, 21003])).
% 14.20/9.97 tff(21007,plain,
% 14.20/9.97 (~xuntil6(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20124, 21006])).
% 14.20/9.97 tff(21008,plain,
% 14.20/9.97 (~always3(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20162, 21001])).
% 14.20/9.97 tff(21009,plain,
% 14.20/9.97 (~node4(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20166, 36, 21008])).
% 14.20/9.97 tff(21010,plain,
% 14.20/9.97 (xuntil6(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20882, 21009])).
% 14.20/9.97 tff(21011,plain,
% 14.20/9.97 (until5(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20153, 21010])).
% 14.20/9.97 tff(21012,plain,
% 14.20/9.97 ($false),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20144, 294, 21011, 21007, 21002])).
% 14.20/9.97 tff(21013,plain,(always3(s276) | (~until5(s274)) | xuntil6(s276)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.97 tff(21014,plain,
% 14.20/9.97 (always3(s276)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21013, 19989, 20999])).
% 14.20/9.97 tff(21015,plain,
% 14.20/9.97 (always3(s277)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20104, 21014])).
% 14.20/9.97 tff(21016,plain,
% 14.20/9.97 (~m_main_v_state(s277, c_busy)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20991, 85, 21015])).
% 14.20/9.97 tff(21017,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s276)) | (~m_main_v_state(s276, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s276)) | (~m_main_v_state(s276, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21018,plain,
% 14.20/9.97 (((~m_main_v_state(s276, c_busy)) | (~always3(s276))) <=> ((~always3(s276)) | (~m_main_v_state(s276, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21019,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s276, c_busy)) | (~always3(s276)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s276)) | (~m_main_v_state(s276, c_busy))))),
% 14.20/9.97 inference(monotonicity,[status(thm)],[21018])).
% 14.20/9.97 tff(21020,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s276, c_busy)) | (~always3(s276)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s276)) | (~m_main_v_state(s276, c_busy)))),
% 14.20/9.97 inference(transitivity,[status(thm)],[21019, 21017])).
% 14.20/9.97 tff(21021,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s276, c_busy)) | (~always3(s276)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21022,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s276)) | (~m_main_v_state(s276, c_busy))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21021, 21020])).
% 14.20/9.97 tff(21023,plain,
% 14.20/9.97 (~m_main_v_state(s276, c_busy)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21022, 85, 21014])).
% 14.20/9.97 tff(21024,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s276, c_busy) | m_main_v_state(s276, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s276, c_busy) | m_main_v_state(s276, c_ready))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21025,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s276, c_busy) | m_main_v_state(s276, c_ready))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21026,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s276, c_busy) | m_main_v_state(s276, c_ready)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21025, 21024])).
% 14.20/9.97 tff(21027,plain,
% 14.20/9.97 (m_main_v_state(s276, c_ready)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21026, 102, 21023])).
% 14.20/9.97 tff(21028,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s276, s277)) | node2(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s276, s277)) | node2(s276, s277))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21029,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s276, s277)) | node2(s276, s277))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21030,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s276, s277)) | node2(s276, s277)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 14.20/9.97 tff(21031,plain,
% 14.20/9.97 (node2(s276, s277)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21030, 7, 20100])).
% 14.20/9.97 tff(21032,plain,
% 14.20/9.97 (((~![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(s276, c_ready)) | (~node2(s276, s277)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s276, c_ready)) | (~node2(s276, s277)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21033,plain,
% 14.20/9.97 ((~![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(s276, c_ready)) | (~node2(s276, s277)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21034,plain,
% 14.20/9.97 ((~![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(s276, c_ready)) | (~node2(s276, s277)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21033, 21032])).
% 14.20/9.97 tff(21035,plain,
% 14.20/9.97 ((~m_main_v_state(s276, c_ready)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21034, 73, 21031])).
% 14.20/9.97 tff(21036,plain,
% 14.20/9.97 (~m_main_v_request(s276)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21035, 21027, 21016])).
% 14.20/9.97 tff(21037,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s276) | (~node4(s276)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s276) | (~node4(s276)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21038,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s276) | (~node4(s276)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21039,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s276) | (~node4(s276))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21038, 21037])).
% 14.20/9.97 tff(21040,plain,
% 14.20/9.97 (~node4(s276)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21039, 21, 21036])).
% 14.20/9.97 tff(21041,plain,
% 14.20/9.97 (node4(s276) | (~until5(s276))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20115, 294, 20999])).
% 14.20/9.97 tff(21042,plain,
% 14.20/9.97 (~until5(s276)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21041, 21040])).
% 14.20/9.97 tff(21043,plain,
% 14.20/9.97 (~xuntil6(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20124, 21042])).
% 14.20/9.97 tff(21044,assumption,(~always3(s275)), introduced(assumption)).
% 14.20/9.97 tff(21045,plain,
% 14.20/9.97 (~always3(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20162, 21044])).
% 14.20/9.97 tff(21046,plain,
% 14.20/9.97 (~node4(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20166, 36, 21045])).
% 14.20/9.97 tff(21047,plain,
% 14.20/9.97 (xuntil6(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20882, 21046])).
% 14.20/9.97 tff(21048,plain,
% 14.20/9.97 (until5(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20153, 21047])).
% 14.20/9.97 tff(21049,assumption,(~xuntil6(s275)), introduced(assumption)).
% 14.20/9.97 tff(21050,plain,
% 14.20/9.97 (node4(s275) | (~until5(s275))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20144, 294, 21049])).
% 14.20/9.97 tff(21051,plain,
% 14.20/9.97 (node4(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21050, 21048])).
% 14.20/9.97 tff(21052,plain,
% 14.20/9.97 ($false),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20137, 36, 21044, 21051])).
% 14.20/9.97 tff(21053,plain,(always3(s275) | xuntil6(s275) | (~until5(s274))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.97 tff(21054,plain,
% 14.20/9.97 (always3(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21053, 21043, 19989])).
% 14.20/9.97 tff(21055,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s275)) | (~m_main_v_state(s275, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s275)) | (~m_main_v_state(s275, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21056,plain,
% 14.20/9.97 (((~m_main_v_state(s275, c_busy)) | (~always3(s275))) <=> ((~always3(s275)) | (~m_main_v_state(s275, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21057,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s275, c_busy)) | (~always3(s275)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s275)) | (~m_main_v_state(s275, c_busy))))),
% 14.20/9.97 inference(monotonicity,[status(thm)],[21056])).
% 14.20/9.97 tff(21058,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s275, c_busy)) | (~always3(s275)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s275)) | (~m_main_v_state(s275, c_busy)))),
% 14.20/9.97 inference(transitivity,[status(thm)],[21057, 21055])).
% 14.20/9.97 tff(21059,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s275, c_busy)) | (~always3(s275)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21060,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s275)) | (~m_main_v_state(s275, c_busy))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21059, 21058])).
% 14.20/9.97 tff(21061,plain,
% 14.20/9.97 (~m_main_v_state(s275, c_busy)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21060, 85, 21054])).
% 14.20/9.97 tff(21062,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s275, c_busy) | m_main_v_state(s275, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s275, c_busy) | m_main_v_state(s275, c_ready))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21063,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s275, c_busy) | m_main_v_state(s275, c_ready))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21064,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s275, c_busy) | m_main_v_state(s275, c_ready)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21063, 21062])).
% 14.20/9.97 tff(21065,plain,
% 14.20/9.97 (m_main_v_state(s275, c_ready)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21064, 102, 21061])).
% 14.20/9.97 tff(21066,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s275, s276)) | node2(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s275, s276)) | node2(s275, s276))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21067,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s275, s276)) | node2(s275, s276))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21068,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s275, s276)) | node2(s275, s276)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21067, 21066])).
% 14.20/9.97 tff(21069,plain,
% 14.20/9.97 (node2(s275, s276)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21068, 7, 20129])).
% 14.20/9.97 tff(21070,plain,
% 14.20/9.97 (((~![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(s275, c_ready)) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s275, c_ready)) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21071,plain,
% 14.20/9.97 ((~![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(s275, c_ready)) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21072,plain,
% 14.20/9.97 ((~![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(s275, c_ready)) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21071, 21070])).
% 14.20/9.97 tff(21073,plain,
% 14.20/9.97 ((~m_main_v_state(s275, c_ready)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21072, 73, 21069])).
% 14.20/9.97 tff(21074,plain,
% 14.20/9.97 (~m_main_v_request(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21073, 21065, 21023])).
% 14.20/9.97 tff(21075,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s275) | (~node4(s275)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s275) | (~node4(s275)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21076,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s275) | (~node4(s275)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21077,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s275) | (~node4(s275))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21076, 21075])).
% 14.20/9.97 tff(21078,plain,
% 14.20/9.97 (~node4(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21077, 21, 21074])).
% 14.20/9.97 tff(21079,plain,
% 14.20/9.97 (node4(s275) | (~until5(s275))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20144, 294, 21043])).
% 14.20/9.97 tff(21080,plain,
% 14.20/9.97 (~until5(s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21079, 21078])).
% 14.20/9.97 tff(21081,plain,
% 14.20/9.97 (~xuntil6(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20153, 21080])).
% 14.20/9.97 tff(21082,plain,
% 14.20/9.97 (node4(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20882, 21081])).
% 14.20/9.97 tff(21083,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s274) | (~node4(s274)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s274) | (~node4(s274)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21084,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s274) | (~node4(s274)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21085,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s274) | (~node4(s274))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21084, 21083])).
% 14.20/9.97 tff(21086,plain,
% 14.20/9.97 (m_main_v_request(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21085, 21, 21082])).
% 14.20/9.97 tff(21087,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s274, s275)) | node2(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s274, s275)) | node2(s274, s275))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21088,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s274, s275)) | node2(s274, s275))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21089,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s274, s275)) | node2(s274, s275)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21088, 21087])).
% 14.20/9.97 tff(21090,plain,
% 14.20/9.97 (node2(s274, s275)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21089, 7, 20158])).
% 14.20/9.97 tff(21091,plain,
% 14.20/9.97 (((~![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(s274, c_ready)) | (~node2(s274, s275)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s274, c_ready)) | (~node2(s274, s275)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21092,plain,
% 14.20/9.97 ((~![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(s274, c_ready)) | (~node2(s274, s275)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21093,plain,
% 14.20/9.97 ((~![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(s274, c_ready)) | (~node2(s274, s275)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21092, 21091])).
% 14.20/9.97 tff(21094,plain,
% 14.20/9.97 ((~m_main_v_state(s274, c_ready)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274))),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21093, 73, 21090])).
% 14.20/9.97 tff(21095,plain,
% 14.20/9.97 (~m_main_v_state(s274, c_ready)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21094, 21086, 21061])).
% 14.20/9.97 tff(21096,plain,
% 14.20/9.97 (always3(s274)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20166, 36, 21082])).
% 14.20/9.97 tff(21097,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s274)) | (~m_main_v_state(s274, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s274)) | (~m_main_v_state(s274, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21098,plain,
% 14.20/9.97 (((~m_main_v_state(s274, c_busy)) | (~always3(s274))) <=> ((~always3(s274)) | (~m_main_v_state(s274, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21099,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s274, c_busy)) | (~always3(s274)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s274)) | (~m_main_v_state(s274, c_busy))))),
% 14.20/9.97 inference(monotonicity,[status(thm)],[21098])).
% 14.20/9.97 tff(21100,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s274, c_busy)) | (~always3(s274)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s274)) | (~m_main_v_state(s274, c_busy)))),
% 14.20/9.97 inference(transitivity,[status(thm)],[21099, 21097])).
% 14.20/9.97 tff(21101,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s274, c_busy)) | (~always3(s274)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21102,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s274)) | (~m_main_v_state(s274, c_busy))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21101, 21100])).
% 14.20/9.97 tff(21103,plain,
% 14.20/9.97 (~m_main_v_state(s274, c_busy)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21102, 85, 21096])).
% 14.20/9.97 tff(21104,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s274, c_busy) | m_main_v_state(s274, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s274, c_busy) | m_main_v_state(s274, c_ready))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21105,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s274, c_busy) | m_main_v_state(s274, c_ready))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21106,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s274, c_busy) | m_main_v_state(s274, c_ready)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 14.20/9.97 tff(21107,plain,
% 14.20/9.97 ($false),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21106, 102, 21103, 21095])).
% 14.20/9.97 tff(21108,plain,((~until5(s274)) | xuntil6(s279) | m_main_v_state(s280, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.97 tff(21109,plain,
% 14.20/9.97 (xuntil6(s279)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21108, 20872, 19989])).
% 14.20/9.97 tff(21110,plain,
% 14.20/9.97 (until5(s280)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20022, 21109])).
% 14.20/9.97 tff(21111,plain,
% 14.20/9.97 (node4(s280)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20017, 21110])).
% 14.20/9.97 tff(21112,plain,
% 14.20/9.97 (succ(s280, s281) <=> succ(s280, s281)),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21113,axiom,(succ(s280, s281)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound281')).
% 14.20/9.97 tff(21114,plain,
% 14.20/9.97 (succ(s280, s281)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21113, 21112])).
% 14.20/9.97 tff(21115,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21116,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21117,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21116, 21115])).
% 14.20/9.97 tff(21118,plain,
% 14.20/9.97 (trans(s280, s281)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21117, 21114, 52])).
% 14.20/9.97 tff(21119,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s280, s281)) | (~always3(s280)) | always3(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s280, s281)) | (~always3(s280)) | always3(s281))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21120,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s280, s281)) | (~always3(s280)) | always3(s281))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21121,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s280, s281)) | (~always3(s280)) | always3(s281)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21120, 21119])).
% 14.20/9.97 tff(21122,plain,
% 14.20/9.97 ((~always3(s280)) | always3(s281)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21121, 125, 21118])).
% 14.20/9.97 tff(21123,plain,
% 14.20/9.97 (always3(s281)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21122, 20865])).
% 14.20/9.97 tff(21124,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s281)) | (~m_main_v_state(s281, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s281)) | (~m_main_v_state(s281, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21125,plain,
% 14.20/9.97 (((~m_main_v_state(s281, c_busy)) | (~always3(s281))) <=> ((~always3(s281)) | (~m_main_v_state(s281, c_busy)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21126,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s281, c_busy)) | (~always3(s281)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s281)) | (~m_main_v_state(s281, c_busy))))),
% 14.20/9.97 inference(monotonicity,[status(thm)],[21125])).
% 14.20/9.97 tff(21127,plain,
% 14.20/9.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s281, c_busy)) | (~always3(s281)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s281)) | (~m_main_v_state(s281, c_busy)))),
% 14.20/9.97 inference(transitivity,[status(thm)],[21126, 21124])).
% 14.20/9.97 tff(21128,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s281, c_busy)) | (~always3(s281)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21129,plain,
% 14.20/9.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s281)) | (~m_main_v_state(s281, c_busy))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 14.20/9.97 tff(21130,plain,
% 14.20/9.97 (~m_main_v_state(s281, c_busy)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21129, 85, 21123])).
% 14.20/9.97 tff(21131,assumption,(~m_main_v_state(s280, c_ready)), introduced(assumption)).
% 14.20/9.97 tff(21132,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s279, s280)) | m_main_v_state(s280, c_busy) | node1(s279) | m_main_v_state(s280, 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(s279, s280)) | m_main_v_state(s280, c_busy) | node1(s279) | m_main_v_state(s280, c_ready))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21133,plain,
% 14.20/9.97 ((node1(s279) | m_main_v_state(s280, c_ready) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy)) <=> ((~node2(s279, s280)) | m_main_v_state(s280, c_busy) | node1(s279) | m_main_v_state(s280, c_ready))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21134,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s279) | m_main_v_state(s280, c_ready) | (~node2(s279, s280)) | m_main_v_state(s280, 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(s279, s280)) | m_main_v_state(s280, c_busy) | node1(s279) | m_main_v_state(s280, c_ready)))),
% 14.20/9.97 inference(monotonicity,[status(thm)],[21133])).
% 14.20/9.97 tff(21135,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s279) | m_main_v_state(s280, c_ready) | (~node2(s279, s280)) | m_main_v_state(s280, 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(s279, s280)) | m_main_v_state(s280, c_busy) | node1(s279) | m_main_v_state(s280, c_ready))),
% 14.20/9.97 inference(transitivity,[status(thm)],[21134, 21132])).
% 14.20/9.97 tff(21136,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s279) | m_main_v_state(s280, c_ready) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21137,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | node1(s279) | m_main_v_state(s280, c_ready)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21136, 21135])).
% 14.20/9.97 tff(21138,plain,
% 14.20/9.97 (m_main_v_state(s280, c_busy) | node1(s279) | m_main_v_state(s280, c_ready)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21137, 3551, 20919])).
% 14.20/9.97 tff(21139,plain,
% 14.20/9.97 (node1(s279)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21138, 20911, 21131])).
% 14.20/9.97 tff(21140,assumption,(m_main_v_state(s279, c_ready)), introduced(assumption)).
% 14.20/9.97 tff(21141,plain,
% 14.20/9.97 (~m_main_v_request(s279)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[20923, 20911, 21140])).
% 14.20/9.97 tff(21142,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s279) | (~node1(s279)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s279) | (~node1(s279)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21143,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s279) | (~node1(s279)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21144,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s279) | (~node1(s279))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21143, 21142])).
% 14.20/9.97 tff(21145,plain,
% 14.20/9.97 ($false),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21144, 3568, 21141, 21139])).
% 14.20/9.97 tff(21146,plain,(m_main_v_state(s280, c_busy) | m_main_v_state(s280, c_ready) | (~m_main_v_state(s279, c_ready))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.97 tff(21147,plain,
% 14.20/9.97 (~m_main_v_state(s279, c_ready)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21146, 20911, 21131])).
% 14.20/9.97 tff(21148,plain,
% 14.20/9.97 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s279, c_ready) | (~node1(s279)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s279, c_ready) | (~node1(s279)))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21149,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s279, c_ready) | (~node1(s279)))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21150,plain,
% 14.20/9.97 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s279, c_ready) | (~node1(s279))),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21149, 21148])).
% 14.20/9.97 tff(21151,plain,
% 14.20/9.97 ($false),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21150, 3581, 21147, 21139])).
% 14.20/9.97 tff(21152,plain,(m_main_v_state(s280, c_busy) | m_main_v_state(s280, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.97 tff(21153,plain,
% 14.20/9.97 (m_main_v_state(s280, c_ready)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21152, 20872])).
% 14.20/9.97 tff(21154,plain,
% 14.20/9.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s280, s281)) | node2(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s280, s281)) | node2(s280, s281))),
% 14.20/9.97 inference(rewrite,[status(thm)],[])).
% 14.20/9.97 tff(21155,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s280, s281)) | node2(s280, s281))),
% 14.20/9.97 inference(quant_inst,[status(thm)],[])).
% 14.20/9.97 tff(21156,plain,
% 14.20/9.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s280, s281)) | node2(s280, s281)),
% 14.20/9.97 inference(modus_ponens,[status(thm)],[21155, 21154])).
% 14.20/9.97 tff(21157,plain,
% 14.20/9.97 (node2(s280, s281)),
% 14.20/9.97 inference(unit_resolution,[status(thm)],[21156, 7, 21118])).
% 14.20/9.97 tff(21158,plain,
% 14.20/9.97 (((~![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(s280, c_ready)) | (~node2(s280, s281)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s280, c_ready)) | (~node2(s280, s281)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21159,plain,
% 14.20/9.98 ((~![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(s280, c_ready)) | (~node2(s280, s281)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21160,plain,
% 14.20/9.98 ((~![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(s280, c_ready)) | (~node2(s280, s281)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21159, 21158])).
% 14.20/9.98 tff(21161,plain,
% 14.20/9.98 ((~m_main_v_state(s280, c_ready)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21160, 73, 21157])).
% 14.20/9.98 tff(21162,plain,
% 14.20/9.98 (~m_main_v_request(s280)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21161, 21153, 21130])).
% 14.20/9.98 tff(21163,plain,
% 14.20/9.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s280) | (~node4(s280)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s280) | (~node4(s280)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21164,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s280) | (~node4(s280)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21165,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s280) | (~node4(s280))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21164, 21163])).
% 14.20/9.98 tff(21166,plain,
% 14.20/9.98 ($false),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21165, 21, 21162, 21111])).
% 14.20/9.98 tff(21167,plain,(xuntil6(s280) | (~until5(s274)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.98 tff(21168,plain,
% 14.20/9.98 (~until5(s274)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21167, 19988, 19900])).
% 14.20/9.98 tff(21169,plain,
% 14.20/9.98 (~xuntil6(s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20182, 21168])).
% 14.20/9.98 tff(21170,assumption,(until5(s267)), introduced(assumption)).
% 14.20/9.98 tff(21171,assumption,(~xuntil6(s273)), introduced(assumption)).
% 14.20/9.98 tff(21172,assumption,(~always3(s273)), introduced(assumption)).
% 14.20/9.98 tff(21173,plain,
% 14.20/9.98 (~always3(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20220, 21172])).
% 14.20/9.98 tff(21174,plain,
% 14.20/9.98 (~node4(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20224, 36, 21173])).
% 14.20/9.98 tff(21175,plain,
% 14.20/9.98 (~node4(s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20195, 36, 21172])).
% 14.20/9.98 tff(21176,plain,
% 14.20/9.98 (node4(s273) | (~until5(s273))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20202, 294, 21171])).
% 14.20/9.98 tff(21177,plain,
% 14.20/9.98 (~until5(s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21176, 21175])).
% 14.20/9.98 tff(21178,plain,
% 14.20/9.98 (~xuntil6(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20211, 21177])).
% 14.20/9.98 tff(21179,plain,
% 14.20/9.98 (~until5(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20231, 294, 21178, 21174])).
% 14.20/9.98 tff(21180,plain,
% 14.20/9.98 (~xuntil6(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20240, 21179])).
% 14.20/9.98 tff(21181,plain,
% 14.20/9.98 (~always3(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20249, 21173])).
% 14.20/9.98 tff(21182,plain,
% 14.20/9.98 (~node4(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20253, 36, 21181])).
% 14.20/9.98 tff(21183,plain,
% 14.20/9.98 (xuntil6(s271) | (~until5(s271))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20260, 294, 21182])).
% 14.20/9.98 tff(21184,plain,
% 14.20/9.98 (~until5(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21183, 21180])).
% 14.20/9.98 tff(21185,plain,
% 14.20/9.98 (~xuntil6(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20269, 21184])).
% 14.20/9.98 tff(21186,plain,
% 14.20/9.98 (~always3(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20278, 21181])).
% 14.20/9.98 tff(21187,plain,
% 14.20/9.98 (~node4(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20282, 36, 21186])).
% 14.20/9.98 tff(21188,plain,
% 14.20/9.98 (xuntil6(s270) | (~until5(s270))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20289, 294, 21187])).
% 14.20/9.98 tff(21189,plain,
% 14.20/9.98 (~until5(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21188, 21185])).
% 14.20/9.98 tff(21190,plain,
% 14.20/9.98 (~xuntil6(s269)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20298, 21189])).
% 14.20/9.98 tff(21191,plain,
% 14.20/9.98 (~always3(s269)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20307, 21186])).
% 14.20/9.98 tff(21192,plain,
% 14.20/9.98 (~node4(s269)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20311, 36, 21191])).
% 14.20/9.98 tff(21193,plain,
% 14.20/9.98 (xuntil6(s269) | (~until5(s269))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20318, 294, 21192])).
% 14.20/9.98 tff(21194,plain,
% 14.20/9.98 (~until5(s269)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21193, 21190])).
% 14.20/9.98 tff(21195,plain,
% 14.20/9.98 (~xuntil6(s268)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20327, 21194])).
% 14.20/9.98 tff(21196,plain,
% 14.20/9.98 (~always3(s268)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20336, 21191])).
% 14.20/9.98 tff(21197,plain,
% 14.20/9.98 (~node4(s268)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20340, 36, 21196])).
% 14.20/9.98 tff(21198,plain,
% 14.20/9.98 (xuntil6(s268) | (~until5(s268))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20347, 294, 21197])).
% 14.20/9.98 tff(21199,plain,
% 14.20/9.98 (~until5(s268)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21198, 21195])).
% 14.20/9.98 tff(21200,plain,
% 14.20/9.98 (~xuntil6(s267)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20356, 21199])).
% 14.20/9.98 tff(21201,plain,
% 14.20/9.98 (~always3(s267)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20365, 21196])).
% 14.20/9.98 tff(21202,plain,
% 14.20/9.98 (~node4(s267)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20369, 36, 21201])).
% 14.20/9.98 tff(21203,plain,
% 14.20/9.98 (xuntil6(s267) | (~until5(s267))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20376, 294, 21202])).
% 14.20/9.98 tff(21204,plain,
% 14.20/9.98 (~until5(s267)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21203, 21200])).
% 14.20/9.98 tff(21205,plain,
% 14.20/9.98 (~xuntil6(s266)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20385, 21204])).
% 14.20/9.98 tff(21206,plain,
% 14.20/9.98 (~always3(s266)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20394, 21201])).
% 14.20/9.98 tff(21207,plain,
% 14.20/9.98 (~node4(s266)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20398, 36, 21206])).
% 14.20/9.98 tff(21208,plain,
% 14.20/9.98 (xuntil6(s266) | (~until5(s266))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20405, 294, 21207])).
% 14.20/9.98 tff(21209,plain,
% 14.20/9.98 (~until5(s266)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21208, 21205])).
% 14.20/9.98 tff(21210,plain,
% 14.20/9.98 (~xuntil6(s265)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20414, 21209])).
% 14.20/9.98 tff(21211,plain,
% 14.20/9.98 (~always3(s265)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20423, 21206])).
% 14.20/9.98 tff(21212,plain,
% 14.20/9.98 (~node4(s265)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20427, 36, 21211])).
% 14.20/9.98 tff(21213,plain,
% 14.20/9.98 (xuntil6(s265) | (~until5(s265))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20434, 294, 21212])).
% 14.20/9.98 tff(21214,plain,
% 14.20/9.98 (~until5(s265)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21213, 21210])).
% 14.20/9.98 tff(21215,plain,
% 14.20/9.98 (~xuntil6(s264)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20443, 21214])).
% 14.20/9.98 tff(21216,plain,
% 14.20/9.98 (~always3(s264)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20452, 21211])).
% 14.20/9.98 tff(21217,plain,
% 14.20/9.98 (~node4(s264)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20456, 36, 21216])).
% 14.20/9.98 tff(21218,plain,
% 14.20/9.98 (xuntil6(s264) | (~until5(s264))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20463, 294, 21217])).
% 14.20/9.98 tff(21219,plain,
% 14.20/9.98 (~until5(s264)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21218, 21215])).
% 14.20/9.98 tff(21220,plain,
% 14.20/9.98 (~xuntil6(s263)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20472, 21219])).
% 14.20/9.98 tff(21221,plain,
% 14.20/9.98 (~always3(s263)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20481, 21216])).
% 14.20/9.98 tff(21222,plain,
% 14.20/9.98 (~node4(s263)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20485, 36, 21221])).
% 14.20/9.98 tff(21223,plain,
% 14.20/9.98 (xuntil6(s263) | (~until5(s263))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20492, 294, 21222])).
% 14.20/9.98 tff(21224,plain,
% 14.20/9.98 (~until5(s263)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21223, 21220])).
% 14.20/9.98 tff(21225,plain,
% 14.20/9.98 (~xuntil6(s262)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20501, 21224])).
% 14.20/9.98 tff(21226,plain,
% 14.20/9.98 (~always3(s262)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20510, 21221])).
% 14.20/9.98 tff(21227,plain,
% 14.20/9.98 (~node4(s262)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20514, 36, 21226])).
% 14.20/9.98 tff(21228,plain,
% 14.20/9.98 (xuntil6(s262) | (~until5(s262))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20521, 294, 21227])).
% 14.20/9.98 tff(21229,plain,
% 14.20/9.98 (~until5(s262)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21228, 21225])).
% 14.20/9.98 tff(21230,plain,
% 14.20/9.98 (~xuntil6(s261)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20530, 21229])).
% 14.20/9.98 tff(21231,plain,
% 14.20/9.98 (~always3(s261)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20539, 21226])).
% 14.20/9.98 tff(21232,plain,
% 14.20/9.98 (~node4(s261)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20543, 36, 21231])).
% 14.20/9.98 tff(21233,plain,
% 14.20/9.98 (xuntil6(s261) | (~until5(s261))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20550, 294, 21232])).
% 14.20/9.98 tff(21234,plain,
% 14.20/9.98 (~until5(s261)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21233, 21230])).
% 14.20/9.98 tff(21235,plain,
% 14.20/9.98 (~xuntil6(s260)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20559, 21234])).
% 14.20/9.98 tff(21236,plain,
% 14.20/9.98 (~always3(s260)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20568, 21231])).
% 14.20/9.98 tff(21237,plain,
% 14.20/9.98 (~node4(s260)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20572, 36, 21236])).
% 14.20/9.98 tff(21238,plain,
% 14.20/9.98 (xuntil6(s260) | (~until5(s260))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20579, 294, 21237])).
% 14.20/9.98 tff(21239,plain,
% 14.20/9.98 (~until5(s260)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21238, 21235])).
% 14.20/9.98 tff(21240,plain,
% 14.20/9.98 (~xuntil6(s259)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20588, 21239])).
% 14.20/9.98 tff(21241,plain,
% 14.20/9.98 (~always3(s259)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20597, 21236])).
% 14.20/9.98 tff(21242,plain,
% 14.20/9.98 (~node4(s259)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20601, 36, 21241])).
% 14.20/9.98 tff(21243,plain,
% 14.20/9.98 (xuntil6(s259) | (~until5(s259))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20608, 294, 21242])).
% 14.20/9.98 tff(21244,plain,
% 14.20/9.98 (~until5(s259)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21243, 21240])).
% 14.20/9.98 tff(21245,plain,
% 14.20/9.98 (~xuntil6(s258)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20617, 21244])).
% 14.20/9.98 tff(21246,plain,
% 14.20/9.98 (~always3(s258)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20626, 21241])).
% 14.20/9.98 tff(21247,plain,
% 14.20/9.98 (~node4(s258)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20630, 36, 21246])).
% 14.20/9.98 tff(21248,plain,
% 14.20/9.98 (xuntil6(s258) | (~until5(s258))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20637, 294, 21247])).
% 14.20/9.98 tff(21249,plain,
% 14.20/9.98 (~until5(s258)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21248, 21245])).
% 14.20/9.98 tff(21250,plain,
% 14.20/9.98 (~xuntil6(s257)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20646, 21249])).
% 14.20/9.98 tff(21251,plain,
% 14.20/9.98 (~always3(s257)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20655, 21246])).
% 14.20/9.98 tff(21252,plain,
% 14.20/9.98 (~node4(s257)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20659, 36, 21251])).
% 14.20/9.98 tff(21253,plain,
% 14.20/9.98 (xuntil6(s257) | (~until5(s257))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20666, 294, 21252])).
% 14.20/9.98 tff(21254,plain,
% 14.20/9.98 (~until5(s257)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21253, 21250])).
% 14.20/9.98 tff(21255,plain,
% 14.20/9.98 (~xuntil6(s256)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20672, 21254])).
% 14.20/9.98 tff(21256,plain,
% 14.20/9.98 (~always3(s256)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[19912, 21251])).
% 14.20/9.98 tff(21257,plain,
% 14.20/9.98 (~node4(s256)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20677, 36, 21256])).
% 14.20/9.98 tff(21258,plain,
% 14.20/9.98 (xuntil6(s256) | (~until5(s256))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20684, 294, 21257])).
% 14.20/9.98 tff(21259,plain,
% 14.20/9.98 (~until5(s256)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21258, 21255])).
% 14.20/9.98 tff(21260,plain,
% 14.20/9.98 (~xuntil6(s255)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[19898, 21259])).
% 14.20/9.98 tff(21261,plain,
% 14.20/9.98 (~always3(s255)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[19863, 21256])).
% 14.20/9.98 tff(21262,plain,
% 14.20/9.98 (~node4(s255)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[19687, 36, 21261])).
% 14.20/9.98 tff(21263,plain,
% 14.20/9.98 (xuntil6(s255) | (~until5(s255))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[19694, 294, 21262])).
% 14.20/9.98 tff(21264,plain,
% 14.20/9.98 (~until5(s255)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21263, 21260])).
% 14.20/9.98 tff(21265,plain,
% 14.20/9.98 (~xuntil6(s254)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[19678, 21264])).
% 14.20/9.98 tff(21266,plain,
% 14.20/9.98 (~always3(s254)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[19643, 21261])).
% 14.20/9.98 tff(21267,plain,
% 14.20/9.98 (~node4(s254)),
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% 14.20/9.98 tff(21268,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[19672, 294, 21267])).
% 14.20/9.98 tff(21269,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21268, 21265])).
% 14.20/9.98 tff(21270,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[19622, 21269])).
% 14.20/9.98 tff(21271,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18295, 21266])).
% 14.20/9.98 tff(21272,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17239, 36, 21271])).
% 14.20/9.98 tff(21273,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17246, 294, 21272])).
% 14.20/9.98 tff(21274,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21273, 21270])).
% 14.20/9.98 tff(21275,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17252, 21274])).
% 14.20/9.98 tff(21276,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17219, 21271])).
% 14.20/9.98 tff(21277,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17261, 36, 21276])).
% 14.20/9.98 tff(21278,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17297, 294, 21277])).
% 14.20/9.98 tff(21279,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21278, 21275])).
% 14.20/9.98 tff(21280,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17303, 21279])).
% 14.20/9.98 tff(21281,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17231, 21276])).
% 14.20/9.98 tff(21282,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17235, 36, 21281])).
% 14.20/9.98 tff(21283,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17310, 294, 21282])).
% 14.20/9.98 tff(21284,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21283, 21280])).
% 14.20/9.98 tff(21285,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17318, 21284])).
% 14.20/9.98 tff(21286,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17336, 21281])).
% 14.20/9.98 tff(21287,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17327, 36, 21286])).
% 14.20/9.98 tff(21288,plain,
% 14.20/9.98 (xuntil6(s250) | (~until5(s250))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17371, 294, 21287])).
% 14.20/9.98 tff(21289,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21288, 21285])).
% 14.20/9.98 tff(21290,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17380, 21289])).
% 14.20/9.98 tff(21291,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17390, 21286])).
% 14.20/9.98 tff(21292,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17394, 36, 21291])).
% 14.20/9.98 tff(21293,plain,
% 14.20/9.98 (xuntil6(s249) | (~until5(s249))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17401, 294, 21292])).
% 14.20/9.98 tff(21294,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21293, 21290])).
% 14.20/9.98 tff(21295,plain,
% 14.20/9.98 (~xuntil6(s248)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17410, 21294])).
% 14.20/9.98 tff(21296,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17419, 21291])).
% 14.20/9.98 tff(21297,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17423, 36, 21296])).
% 14.20/9.98 tff(21298,plain,
% 14.20/9.98 (xuntil6(s248) | (~until5(s248))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17430, 294, 21297])).
% 14.20/9.98 tff(21299,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21298, 21295])).
% 14.20/9.98 tff(21300,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17439, 21299])).
% 14.20/9.98 tff(21301,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17448, 21296])).
% 14.20/9.98 tff(21302,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17477, 21301])).
% 14.20/9.98 tff(21303,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17506, 21302])).
% 14.20/9.98 tff(21304,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17535, 21303])).
% 14.20/9.98 tff(21305,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17564, 21304])).
% 14.20/9.98 tff(21306,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17593, 21305])).
% 14.20/9.98 tff(21307,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17622, 21306])).
% 14.20/9.98 tff(21308,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17651, 21307])).
% 14.20/9.98 tff(21309,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17689, 21308])).
% 14.20/9.98 tff(21310,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17743, 21309])).
% 14.20/9.98 tff(21311,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17772, 21310])).
% 14.20/9.98 tff(21312,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17796, 21311])).
% 14.20/9.98 tff(21313,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17808, 21312])).
% 14.20/9.98 tff(21314,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17820, 21313])).
% 14.20/9.98 tff(21315,plain,
% 14.20/9.98 (~always3(s233)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17832, 21314])).
% 14.20/9.98 tff(21316,plain,
% 14.20/9.98 (~always3(s232)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17844, 21315])).
% 14.20/9.98 tff(21317,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17856, 21316])).
% 14.20/9.98 tff(21318,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17868, 21317])).
% 14.20/9.98 tff(21319,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17880, 21318])).
% 14.20/9.98 tff(21320,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17892, 21319])).
% 14.20/9.98 tff(21321,plain,
% 14.20/9.98 (~always3(s227)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17904, 21320])).
% 14.20/9.98 tff(21322,plain,
% 14.20/9.98 (~always3(s226)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17916, 21321])).
% 14.20/9.98 tff(21323,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17928, 21322])).
% 14.20/9.98 tff(21324,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17940, 21323])).
% 14.20/9.98 tff(21325,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17952, 21324])).
% 14.20/9.98 tff(21326,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17964, 21325])).
% 14.20/9.98 tff(21327,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17968, 36, 21326])).
% 14.20/9.98 tff(21328,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17980, 21326])).
% 14.20/9.98 tff(21329,plain,
% 14.20/9.98 (~node4(s221)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17984, 36, 21328])).
% 14.20/9.98 tff(21330,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[15896, 21328])).
% 14.20/9.98 tff(21331,plain,
% 14.20/9.98 (xuntil6(s220)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[15877, 21330, 14862])).
% 14.20/9.98 tff(21332,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17204, 21331])).
% 14.20/9.98 tff(21333,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17991, 294, 21332])).
% 14.20/9.98 tff(21334,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21333, 21329])).
% 14.20/9.98 tff(21335,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[17997, 21334])).
% 14.20/9.98 tff(21336,plain,
% 14.20/9.98 (xuntil6(s222)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18004, 294, 21335, 21327])).
% 14.20/9.98 tff(21337,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18009, 21336])).
% 14.20/9.98 tff(21338,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18013, 36, 21325])).
% 14.20/9.98 tff(21339,plain,
% 14.20/9.98 (xuntil6(s223) | (~until5(s223))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18020, 294, 21338])).
% 14.20/9.98 tff(21340,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[21339, 21337])).
% 14.20/9.98 tff(21341,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18026, 21340])).
% 14.20/9.98 tff(21342,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18030, 36, 21324])).
% 14.20/9.98 tff(21343,plain,
% 14.20/9.98 (xuntil6(s224) | (~until5(s224))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18037, 294, 21342])).
% 14.20/9.98 tff(21344,plain,
% 14.20/9.98 (xuntil6(s224)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21343, 21341])).
% 14.20/9.98 tff(21345,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18043, 21344])).
% 14.20/9.98 tff(21346,plain,
% 14.20/9.98 (~node4(s225)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18047, 36, 21323])).
% 14.20/9.98 tff(21347,plain,
% 14.20/9.98 (xuntil6(s225) | (~until5(s225))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18054, 294, 21346])).
% 14.20/9.98 tff(21348,plain,
% 14.20/9.98 (xuntil6(s225)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21347, 21345])).
% 14.20/9.98 tff(21349,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18060, 21348])).
% 14.20/9.98 tff(21350,plain,
% 14.20/9.98 (~node4(s226)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18064, 36, 21322])).
% 14.20/9.98 tff(21351,plain,
% 14.20/9.98 (xuntil6(s226) | (~until5(s226))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18071, 294, 21350])).
% 14.20/9.98 tff(21352,plain,
% 14.20/9.98 (xuntil6(s226)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21351, 21349])).
% 14.20/9.98 tff(21353,plain,
% 14.20/9.98 (until5(s227)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18077, 21352])).
% 14.20/9.98 tff(21354,plain,
% 14.20/9.98 (~node4(s227)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18081, 36, 21321])).
% 14.20/9.98 tff(21355,plain,
% 14.20/9.98 (xuntil6(s227) | (~until5(s227))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18088, 294, 21354])).
% 14.20/9.98 tff(21356,plain,
% 14.20/9.98 (xuntil6(s227)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21355, 21353])).
% 14.20/9.98 tff(21357,plain,
% 14.20/9.98 (until5(s228)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18094, 21356])).
% 14.20/9.98 tff(21358,plain,
% 14.20/9.98 (~node4(s228)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18098, 36, 21320])).
% 14.20/9.98 tff(21359,plain,
% 14.20/9.98 (xuntil6(s228) | (~until5(s228))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18105, 294, 21358])).
% 14.20/9.98 tff(21360,plain,
% 14.20/9.98 (xuntil6(s228)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21359, 21357])).
% 14.20/9.98 tff(21361,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18111, 21360])).
% 14.20/9.98 tff(21362,plain,
% 14.20/9.98 (~node4(s229)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18115, 36, 21319])).
% 14.20/9.98 tff(21363,plain,
% 14.20/9.98 (xuntil6(s229) | (~until5(s229))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18122, 294, 21362])).
% 14.20/9.98 tff(21364,plain,
% 14.20/9.98 (xuntil6(s229)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21363, 21361])).
% 14.20/9.98 tff(21365,plain,
% 14.20/9.98 (until5(s230)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18128, 21364])).
% 14.20/9.98 tff(21366,plain,
% 14.20/9.98 (~node4(s230)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18132, 36, 21318])).
% 14.20/9.98 tff(21367,plain,
% 14.20/9.98 (xuntil6(s230) | (~until5(s230))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18139, 294, 21366])).
% 14.20/9.98 tff(21368,plain,
% 14.20/9.98 (xuntil6(s230)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21367, 21365])).
% 14.20/9.98 tff(21369,plain,
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% 14.20/9.98 inference(unit_resolution,[status(thm)],[18145, 21368])).
% 14.20/9.98 tff(21370,plain,
% 14.20/9.98 (~node4(s231)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18149, 36, 21317])).
% 14.20/9.98 tff(21371,plain,
% 14.20/9.98 (xuntil6(s231) | (~until5(s231))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18156, 294, 21370])).
% 14.20/9.98 tff(21372,plain,
% 14.20/9.98 (xuntil6(s231)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21371, 21369])).
% 14.20/9.98 tff(21373,plain,
% 14.20/9.98 (until5(s232)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18162, 21372])).
% 14.20/9.98 tff(21374,plain,
% 14.20/9.98 (~node4(s232)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18166, 36, 21316])).
% 14.20/9.98 tff(21375,plain,
% 14.20/9.98 (xuntil6(s232) | (~until5(s232))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18173, 294, 21374])).
% 14.20/9.98 tff(21376,plain,
% 14.20/9.98 (xuntil6(s232)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21375, 21373])).
% 14.20/9.98 tff(21377,plain,
% 14.20/9.98 (until5(s233)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18179, 21376])).
% 14.20/9.98 tff(21378,plain,
% 14.20/9.98 (~node4(s233)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18183, 36, 21315])).
% 14.20/9.98 tff(21379,plain,
% 14.20/9.98 (xuntil6(s233) | (~until5(s233))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18190, 294, 21378])).
% 14.20/9.98 tff(21380,plain,
% 14.20/9.98 (xuntil6(s233)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21379, 21377])).
% 14.20/9.98 tff(21381,plain,
% 14.20/9.98 (until5(s234)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18196, 21380])).
% 14.20/9.98 tff(21382,plain,
% 14.20/9.98 (~node4(s234)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18200, 36, 21314])).
% 14.20/9.98 tff(21383,plain,
% 14.20/9.98 (xuntil6(s234) | (~until5(s234))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18207, 294, 21382])).
% 14.20/9.98 tff(21384,plain,
% 14.20/9.98 (xuntil6(s234)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21383, 21381])).
% 14.20/9.98 tff(21385,plain,
% 14.20/9.98 (until5(s235)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18213, 21384])).
% 14.20/9.98 tff(21386,plain,
% 14.20/9.98 (~node4(s235)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18217, 36, 21313])).
% 14.20/9.98 tff(21387,plain,
% 14.20/9.98 (xuntil6(s235) | (~until5(s235))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18224, 294, 21386])).
% 14.20/9.98 tff(21388,plain,
% 14.20/9.98 (xuntil6(s235)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21387, 21385])).
% 14.20/9.98 tff(21389,plain,
% 14.20/9.98 (until5(s236)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18230, 21388])).
% 14.20/9.98 tff(21390,plain,
% 14.20/9.98 (~node4(s236)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18239, 36, 21312])).
% 14.20/9.98 tff(21391,plain,
% 14.20/9.98 (xuntil6(s236) | (~until5(s236))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18275, 294, 21390])).
% 14.20/9.98 tff(21392,plain,
% 14.20/9.98 (xuntil6(s236)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21391, 21389])).
% 14.20/9.98 tff(21393,plain,
% 14.20/9.98 (until5(s237)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[18281, 21392])).
% 14.20/9.98 tff(21394,plain,
% 14.20/9.98 (~node4(s237)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17776, 36, 21311])).
% 14.20/9.98 tff(21395,plain,
% 14.20/9.98 (xuntil6(s237) | (~until5(s237))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17783, 294, 21394])).
% 14.20/9.98 tff(21396,plain,
% 14.20/9.98 (xuntil6(s237)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21395, 21393])).
% 14.20/9.98 tff(21397,plain,
% 14.20/9.98 (until5(s238)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17763, 21396])).
% 14.20/9.98 tff(21398,plain,
% 14.20/9.98 (~node4(s238)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17747, 36, 21310])).
% 14.20/9.98 tff(21399,plain,
% 14.20/9.98 (xuntil6(s238) | (~until5(s238))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17754, 294, 21398])).
% 14.20/9.98 tff(21400,plain,
% 14.20/9.98 (xuntil6(s238)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21399, 21397])).
% 14.20/9.98 tff(21401,plain,
% 14.20/9.98 (until5(s239)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17733, 21400])).
% 14.20/9.98 tff(21402,plain,
% 14.20/9.98 (~node4(s239)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17680, 36, 21309])).
% 14.20/9.98 tff(21403,plain,
% 14.20/9.98 (xuntil6(s239) | (~until5(s239))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17724, 294, 21402])).
% 14.20/9.98 tff(21404,plain,
% 14.20/9.98 (xuntil6(s239)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21403, 21401])).
% 14.20/9.98 tff(21405,plain,
% 14.20/9.98 (until5(s240)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17671, 21404])).
% 14.20/9.98 tff(21406,plain,
% 14.20/9.98 (~node4(s240)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17655, 36, 21308])).
% 14.20/9.98 tff(21407,plain,
% 14.20/9.98 (xuntil6(s240) | (~until5(s240))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17662, 294, 21406])).
% 14.20/9.98 tff(21408,plain,
% 14.20/9.98 (xuntil6(s240)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21407, 21405])).
% 14.20/9.98 tff(21409,plain,
% 14.20/9.98 (until5(s241)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17642, 21408])).
% 14.20/9.98 tff(21410,plain,
% 14.20/9.98 (~node4(s241)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17626, 36, 21307])).
% 14.20/9.98 tff(21411,plain,
% 14.20/9.98 (xuntil6(s241) | (~until5(s241))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17633, 294, 21410])).
% 14.20/9.98 tff(21412,plain,
% 14.20/9.98 (xuntil6(s241)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21411, 21409])).
% 14.20/9.98 tff(21413,plain,
% 14.20/9.98 (until5(s242)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17613, 21412])).
% 14.20/9.98 tff(21414,plain,
% 14.20/9.98 (~node4(s242)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17597, 36, 21306])).
% 14.20/9.98 tff(21415,plain,
% 14.20/9.98 (xuntil6(s242) | (~until5(s242))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17604, 294, 21414])).
% 14.20/9.98 tff(21416,plain,
% 14.20/9.98 (xuntil6(s242)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21415, 21413])).
% 14.20/9.98 tff(21417,plain,
% 14.20/9.98 (until5(s243)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17584, 21416])).
% 14.20/9.98 tff(21418,plain,
% 14.20/9.98 (~node4(s243)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17568, 36, 21305])).
% 14.20/9.98 tff(21419,plain,
% 14.20/9.98 (xuntil6(s243) | (~until5(s243))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17575, 294, 21418])).
% 14.20/9.98 tff(21420,plain,
% 14.20/9.98 (xuntil6(s243)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21419, 21417])).
% 14.20/9.98 tff(21421,plain,
% 14.20/9.98 (until5(s244)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17555, 21420])).
% 14.20/9.98 tff(21422,plain,
% 14.20/9.98 (~node4(s244)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17539, 36, 21304])).
% 14.20/9.98 tff(21423,plain,
% 14.20/9.98 (xuntil6(s244) | (~until5(s244))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17546, 294, 21422])).
% 14.20/9.98 tff(21424,plain,
% 14.20/9.98 (xuntil6(s244)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21423, 21421])).
% 14.20/9.98 tff(21425,plain,
% 14.20/9.98 (until5(s245)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17526, 21424])).
% 14.20/9.98 tff(21426,plain,
% 14.20/9.98 (~node4(s245)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17510, 36, 21303])).
% 14.20/9.98 tff(21427,plain,
% 14.20/9.98 (xuntil6(s245) | (~until5(s245))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17517, 294, 21426])).
% 14.20/9.98 tff(21428,plain,
% 14.20/9.98 (xuntil6(s245)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21427, 21425])).
% 14.20/9.98 tff(21429,plain,
% 14.20/9.98 (until5(s246)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17497, 21428])).
% 14.20/9.98 tff(21430,plain,
% 14.20/9.98 (~node4(s246)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17481, 36, 21302])).
% 14.20/9.98 tff(21431,plain,
% 14.20/9.98 (xuntil6(s246) | (~until5(s246))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17488, 294, 21430])).
% 14.20/9.98 tff(21432,plain,
% 14.20/9.98 (xuntil6(s246)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21431, 21429])).
% 14.20/9.98 tff(21433,plain,
% 14.20/9.98 (until5(s247)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17468, 21432])).
% 14.20/9.98 tff(21434,plain,
% 14.20/9.98 (~node4(s247)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17452, 36, 21301])).
% 14.20/9.98 tff(21435,plain,
% 14.20/9.98 (xuntil6(s247) | (~until5(s247))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[17459, 294, 21434])).
% 14.20/9.98 tff(21436,plain,
% 14.20/9.98 ($false),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21435, 21433, 21300])).
% 14.20/9.98 tff(21437,plain,(always3(s273) | xuntil6(s273) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.98 tff(21438,plain,
% 14.20/9.98 (always3(s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21437, 21171, 14862])).
% 14.20/9.98 tff(21439,plain,
% 14.20/9.98 (always3(s274)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20191, 21438])).
% 14.20/9.98 tff(21440,plain,
% 14.20/9.98 (~m_main_v_state(s274, c_busy)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21102, 85, 21439])).
% 14.20/9.98 tff(21441,assumption,(until5(s273)), introduced(assumption)).
% 14.20/9.98 tff(21442,plain,
% 14.20/9.98 (xuntil6(s273) | node4(s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20202, 294, 21441])).
% 14.20/9.98 tff(21443,plain,
% 14.20/9.98 (node4(s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21442, 21171])).
% 14.20/9.98 tff(21444,plain,
% 14.20/9.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s273) | (~node4(s273)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s273) | (~node4(s273)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21445,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s273) | (~node4(s273)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21446,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s273) | (~node4(s273))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21445, 21444])).
% 14.20/9.98 tff(21447,plain,
% 14.20/9.98 (m_main_v_request(s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21446, 21, 21443])).
% 14.20/9.98 tff(21448,plain,
% 14.20/9.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s273, s274)) | node2(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s273, s274)) | node2(s273, s274))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21449,plain,
% 14.20/9.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s273, s274)) | node2(s273, s274))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21450,plain,
% 14.20/9.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s273, s274)) | node2(s273, s274)),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 14.20/9.98 tff(21451,plain,
% 14.20/9.98 (node2(s273, s274)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21450, 7, 20187])).
% 14.20/9.98 tff(21452,plain,
% 14.20/9.98 (((~![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(s273, c_ready)) | (~node2(s273, s274)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s273, c_ready)) | (~node2(s273, s274)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21453,plain,
% 14.20/9.98 ((~![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(s273, c_ready)) | (~node2(s273, s274)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21454,plain,
% 14.20/9.98 ((~![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(s273, c_ready)) | (~node2(s273, s274)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 14.20/9.98 tff(21455,plain,
% 14.20/9.98 ((~m_main_v_state(s273, c_ready)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21454, 73, 21451])).
% 14.20/9.98 tff(21456,plain,
% 14.20/9.98 (~m_main_v_state(s273, c_ready)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21455, 21447, 21440])).
% 14.20/9.98 tff(21457,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s273)) | (~m_main_v_state(s273, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s273)) | (~m_main_v_state(s273, c_busy)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21458,plain,
% 14.20/9.98 (((~m_main_v_state(s273, c_busy)) | (~always3(s273))) <=> ((~always3(s273)) | (~m_main_v_state(s273, c_busy)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21459,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s273, c_busy)) | (~always3(s273)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s273)) | (~m_main_v_state(s273, c_busy))))),
% 14.20/9.98 inference(monotonicity,[status(thm)],[21458])).
% 14.20/9.98 tff(21460,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s273, c_busy)) | (~always3(s273)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s273)) | (~m_main_v_state(s273, c_busy)))),
% 14.20/9.98 inference(transitivity,[status(thm)],[21459, 21457])).
% 14.20/9.98 tff(21461,plain,
% 14.20/9.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s273, c_busy)) | (~always3(s273)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21462,plain,
% 14.20/9.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s273)) | (~m_main_v_state(s273, c_busy))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 14.20/9.98 tff(21463,plain,
% 14.20/9.98 (~m_main_v_state(s273, c_busy)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21462, 85, 21438])).
% 14.20/9.98 tff(21464,plain,
% 14.20/9.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21465,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21466,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready)),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21465, 21464])).
% 14.20/9.98 tff(21467,plain,
% 14.20/9.98 ($false),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21466, 102, 21463, 21456])).
% 14.20/9.98 tff(21468,plain,(xuntil6(s273) | (~until5(s273)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.98 tff(21469,plain,
% 14.20/9.98 (~until5(s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21468, 21171, 14862])).
% 14.20/9.98 tff(21470,plain,
% 14.20/9.98 (~xuntil6(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20211, 21469])).
% 14.20/9.98 tff(21471,assumption,(~xuntil6(s272)), introduced(assumption)).
% 14.20/9.98 tff(21472,assumption,(~always3(s272)), introduced(assumption)).
% 14.20/9.98 tff(21473,plain,
% 14.20/9.98 (~always3(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20249, 21472])).
% 14.20/9.98 tff(21474,plain,
% 14.20/9.98 (~always3(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20278, 21473])).
% 14.20/9.98 tff(21475,plain,
% 14.20/9.98 (~always3(s269)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20307, 21474])).
% 14.20/9.98 tff(21476,plain,
% 14.20/9.98 (~always3(s268)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20336, 21475])).
% 14.20/9.98 tff(21477,plain,
% 14.20/9.98 (~node4(s268)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20340, 36, 21476])).
% 14.20/9.98 tff(21478,plain,
% 14.20/9.98 (~always3(s267)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20365, 21476])).
% 14.20/9.98 tff(21479,plain,
% 14.20/9.98 (~node4(s267)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20369, 36, 21478])).
% 14.20/9.98 tff(21480,plain,
% 14.20/9.98 (xuntil6(s267) | node4(s267)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20376, 294, 21170])).
% 14.20/9.98 tff(21481,plain,
% 14.20/9.98 (xuntil6(s267)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21480, 21479])).
% 14.20/9.98 tff(21482,plain,
% 14.20/9.98 (until5(s268)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20356, 21481])).
% 14.20/9.98 tff(21483,plain,
% 14.20/9.98 (xuntil6(s268)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20347, 294, 21482, 21477])).
% 14.20/9.98 tff(21484,plain,
% 14.20/9.98 (until5(s269)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20327, 21483])).
% 14.20/9.98 tff(21485,plain,
% 14.20/9.98 (~node4(s269)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20311, 36, 21475])).
% 14.20/9.98 tff(21486,plain,
% 14.20/9.98 (xuntil6(s269) | (~until5(s269))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20318, 294, 21485])).
% 14.20/9.98 tff(21487,plain,
% 14.20/9.98 (xuntil6(s269)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21486, 21484])).
% 14.20/9.98 tff(21488,plain,
% 14.20/9.98 (until5(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20298, 21487])).
% 14.20/9.98 tff(21489,plain,
% 14.20/9.98 (~node4(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20282, 36, 21474])).
% 14.20/9.98 tff(21490,plain,
% 14.20/9.98 (xuntil6(s270) | (~until5(s270))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20289, 294, 21489])).
% 14.20/9.98 tff(21491,plain,
% 14.20/9.98 (xuntil6(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21490, 21488])).
% 14.20/9.98 tff(21492,plain,
% 14.20/9.98 (until5(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20269, 21491])).
% 14.20/9.98 tff(21493,plain,
% 14.20/9.98 (~node4(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20253, 36, 21473])).
% 14.20/9.98 tff(21494,plain,
% 14.20/9.98 (xuntil6(s271) | (~until5(s271))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20260, 294, 21493])).
% 14.20/9.98 tff(21495,plain,
% 14.20/9.98 (xuntil6(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21494, 21492])).
% 14.20/9.98 tff(21496,plain,
% 14.20/9.98 (until5(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20240, 21495])).
% 14.20/9.98 tff(21497,plain,
% 14.20/9.98 (node4(s272) | (~until5(s272))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20231, 294, 21471])).
% 14.20/9.98 tff(21498,plain,
% 14.20/9.98 (node4(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21497, 21496])).
% 14.20/9.98 tff(21499,plain,
% 14.20/9.98 ($false),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20224, 36, 21472, 21498])).
% 14.20/9.98 tff(21500,plain,(always3(s272) | xuntil6(s272) | (~until5(s267))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.98 tff(21501,plain,
% 14.20/9.98 (always3(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21500, 21170, 21471])).
% 14.20/9.98 tff(21502,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s272)) | (~m_main_v_state(s272, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s272)) | (~m_main_v_state(s272, c_busy)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21503,plain,
% 14.20/9.98 (((~m_main_v_state(s272, c_busy)) | (~always3(s272))) <=> ((~always3(s272)) | (~m_main_v_state(s272, c_busy)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21504,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s272, c_busy)) | (~always3(s272)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s272)) | (~m_main_v_state(s272, c_busy))))),
% 14.20/9.98 inference(monotonicity,[status(thm)],[21503])).
% 14.20/9.98 tff(21505,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s272, c_busy)) | (~always3(s272)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s272)) | (~m_main_v_state(s272, c_busy)))),
% 14.20/9.98 inference(transitivity,[status(thm)],[21504, 21502])).
% 14.20/9.98 tff(21506,plain,
% 14.20/9.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s272, c_busy)) | (~always3(s272)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21507,plain,
% 14.20/9.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s272)) | (~m_main_v_state(s272, c_busy))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21506, 21505])).
% 14.20/9.98 tff(21508,plain,
% 14.20/9.98 (~m_main_v_state(s272, c_busy)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21507, 85, 21501])).
% 14.20/9.98 tff(21509,assumption,(~m_main_v_state(s273, c_busy)), introduced(assumption)).
% 14.20/9.98 tff(21510,plain,
% 14.20/9.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21511,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21512,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready)),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21511, 21510])).
% 14.20/9.98 tff(21513,plain,
% 14.20/9.98 (m_main_v_state(s272, c_ready)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21512, 102, 21508])).
% 14.20/9.98 tff(21514,plain,
% 14.20/9.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s272, s273)) | node2(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s272, s273)) | node2(s272, s273))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21515,plain,
% 14.20/9.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s272, s273)) | node2(s272, s273))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21516,plain,
% 14.20/9.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s272, s273)) | node2(s272, s273)),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21515, 21514])).
% 14.20/9.98 tff(21517,plain,
% 14.20/9.98 (node2(s272, s273)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21516, 7, 20216])).
% 14.20/9.98 tff(21518,plain,
% 14.20/9.98 (((~![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(s272, c_ready)) | (~node2(s272, s273)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s272, c_ready)) | (~node2(s272, s273)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21519,plain,
% 14.20/9.98 ((~![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(s272, c_ready)) | (~node2(s272, s273)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21520,plain,
% 14.20/9.98 ((~![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(s272, c_ready)) | (~node2(s272, s273)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21519, 21518])).
% 14.20/9.98 tff(21521,plain,
% 14.20/9.98 ((~m_main_v_state(s272, c_ready)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21520, 73, 21517])).
% 14.20/9.98 tff(21522,plain,
% 14.20/9.98 (~m_main_v_request(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21521, 21513, 21509])).
% 14.20/9.98 tff(21523,plain,
% 14.20/9.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s272) | (~node4(s272)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s272) | (~node4(s272)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21524,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s272) | (~node4(s272)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21525,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s272) | (~node4(s272))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 14.20/9.98 tff(21526,plain,
% 14.20/9.98 (~node4(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21525, 21, 21522])).
% 14.20/9.98 tff(21527,plain,
% 14.20/9.98 (~until5(s272)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21497, 21526])).
% 14.20/9.98 tff(21528,plain,
% 14.20/9.98 (~xuntil6(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20240, 21527])).
% 14.20/9.98 tff(21529,assumption,(~xuntil6(s271)), introduced(assumption)).
% 14.20/9.98 tff(21530,assumption,(until5(s270)), introduced(assumption)).
% 14.20/9.98 tff(21531,assumption,(~always3(s271)), introduced(assumption)).
% 14.20/9.98 tff(21532,plain,
% 14.20/9.98 (~always3(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20278, 21531])).
% 14.20/9.98 tff(21533,plain,
% 14.20/9.98 (~node4(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20282, 36, 21532])).
% 14.20/9.98 tff(21534,plain,
% 14.20/9.98 (xuntil6(s270) | node4(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20289, 294, 21530])).
% 14.20/9.98 tff(21535,plain,
% 14.20/9.98 (xuntil6(s270)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21534, 21533])).
% 14.20/9.98 tff(21536,plain,
% 14.20/9.98 (until5(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20269, 21535])).
% 14.20/9.98 tff(21537,plain,
% 14.20/9.98 (node4(s271) | (~until5(s271))),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20260, 294, 21529])).
% 14.20/9.98 tff(21538,plain,
% 14.20/9.98 (node4(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21537, 21536])).
% 14.20/9.98 tff(21539,plain,
% 14.20/9.98 ($false),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[20253, 36, 21531, 21538])).
% 14.20/9.98 tff(21540,plain,(always3(s271) | xuntil6(s271) | (~until5(s270))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.98 tff(21541,plain,
% 14.20/9.98 (always3(s271)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21540, 21530, 21529])).
% 14.20/9.98 tff(21542,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s271)) | (~m_main_v_state(s271, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s271)) | (~m_main_v_state(s271, c_busy)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21543,plain,
% 14.20/9.98 (((~m_main_v_state(s271, c_busy)) | (~always3(s271))) <=> ((~always3(s271)) | (~m_main_v_state(s271, c_busy)))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21544,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s271, c_busy)) | (~always3(s271)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s271)) | (~m_main_v_state(s271, c_busy))))),
% 14.20/9.98 inference(monotonicity,[status(thm)],[21543])).
% 14.20/9.98 tff(21545,plain,
% 14.20/9.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s271, c_busy)) | (~always3(s271)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s271)) | (~m_main_v_state(s271, c_busy)))),
% 14.20/9.98 inference(transitivity,[status(thm)],[21544, 21542])).
% 14.20/9.98 tff(21546,plain,
% 14.20/9.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s271, c_busy)) | (~always3(s271)))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21547,plain,
% 14.20/9.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s271)) | (~m_main_v_state(s271, c_busy))),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21546, 21545])).
% 14.20/9.98 tff(21548,plain,
% 14.20/9.98 (~m_main_v_state(s271, c_busy)),
% 14.20/9.98 inference(unit_resolution,[status(thm)],[21547, 85, 21541])).
% 14.20/9.98 tff(21549,assumption,(~m_main_v_state(s272, c_busy)), introduced(assumption)).
% 14.20/9.98 tff(21550,plain,
% 14.20/9.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready))),
% 14.20/9.98 inference(rewrite,[status(thm)],[])).
% 14.20/9.98 tff(21551,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready))),
% 14.20/9.98 inference(quant_inst,[status(thm)],[])).
% 14.20/9.98 tff(21552,plain,
% 14.20/9.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready)),
% 14.20/9.98 inference(modus_ponens,[status(thm)],[21551, 21550])).
% 14.20/9.99 tff(21553,plain,
% 14.20/9.99 (m_main_v_state(s271, c_ready)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21552, 102, 21548])).
% 14.20/9.99 tff(21554,plain,
% 14.20/9.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s271, s272)) | node2(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s271, s272)) | node2(s271, s272))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21555,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s271, s272)) | node2(s271, s272))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21556,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s271, s272)) | node2(s271, s272)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21555, 21554])).
% 14.20/9.99 tff(21557,plain,
% 14.20/9.99 (node2(s271, s272)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21556, 7, 20245])).
% 14.20/9.99 tff(21558,plain,
% 14.20/9.99 (((~![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(s271, c_ready)) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s271, c_ready)) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21559,plain,
% 14.20/9.99 ((~![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(s271, c_ready)) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21560,plain,
% 14.20/9.99 ((~![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(s271, c_ready)) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 14.20/9.99 tff(21561,plain,
% 14.20/9.99 ((~m_main_v_state(s271, c_ready)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21560, 73, 21557])).
% 14.20/9.99 tff(21562,plain,
% 14.20/9.99 (~m_main_v_request(s271)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21561, 21553, 21549])).
% 14.20/9.99 tff(21563,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s271) | (~node4(s271)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s271) | (~node4(s271)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21564,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s271) | (~node4(s271)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21565,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s271) | (~node4(s271))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21564, 21563])).
% 14.20/9.99 tff(21566,plain,
% 14.20/9.99 (~node4(s271)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21565, 21, 21562])).
% 14.20/9.99 tff(21567,plain,
% 14.20/9.99 (~until5(s271)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21537, 21566])).
% 14.20/9.99 tff(21568,plain,
% 14.20/9.99 (~xuntil6(s270)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20269, 21567])).
% 14.20/9.99 tff(21569,plain,
% 14.20/9.99 (node4(s270)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21534, 21568])).
% 14.20/9.99 tff(21570,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s270) | (~node4(s270)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s270) | (~node4(s270)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21571,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s270) | (~node4(s270)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21572,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s270) | (~node4(s270))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21571, 21570])).
% 14.20/9.99 tff(21573,plain,
% 14.20/9.99 (m_main_v_request(s270)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21572, 21, 21569])).
% 14.20/9.99 tff(21574,plain,
% 14.20/9.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s270, s271)) | node2(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s270, s271)) | node2(s270, s271))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21575,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s270, s271)) | node2(s270, s271))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21576,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s270, s271)) | node2(s270, s271)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21575, 21574])).
% 14.20/9.99 tff(21577,plain,
% 14.20/9.99 (node2(s270, s271)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21576, 7, 20274])).
% 14.20/9.99 tff(21578,plain,
% 14.20/9.99 (((~![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(s270, c_ready)) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s270, c_ready)) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21579,plain,
% 14.20/9.99 ((~![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(s270, c_ready)) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21580,plain,
% 14.20/9.99 ((~![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(s270, c_ready)) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21579, 21578])).
% 14.20/9.99 tff(21581,plain,
% 14.20/9.99 ((~m_main_v_state(s270, c_ready)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21580, 73, 21577])).
% 14.20/9.99 tff(21582,plain,
% 14.20/9.99 (~m_main_v_state(s270, c_ready)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21581, 21573, 21548])).
% 14.20/9.99 tff(21583,plain,
% 14.20/9.99 (always3(s270)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20282, 36, 21569])).
% 14.20/9.99 tff(21584,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s270)) | (~m_main_v_state(s270, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s270)) | (~m_main_v_state(s270, c_busy)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21585,plain,
% 14.20/9.99 (((~m_main_v_state(s270, c_busy)) | (~always3(s270))) <=> ((~always3(s270)) | (~m_main_v_state(s270, c_busy)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21586,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s270, c_busy)) | (~always3(s270)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s270)) | (~m_main_v_state(s270, c_busy))))),
% 14.20/9.99 inference(monotonicity,[status(thm)],[21585])).
% 14.20/9.99 tff(21587,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s270, c_busy)) | (~always3(s270)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s270)) | (~m_main_v_state(s270, c_busy)))),
% 14.20/9.99 inference(transitivity,[status(thm)],[21586, 21584])).
% 14.20/9.99 tff(21588,plain,
% 14.20/9.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s270, c_busy)) | (~always3(s270)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21589,plain,
% 14.20/9.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s270)) | (~m_main_v_state(s270, c_busy))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21588, 21587])).
% 14.20/9.99 tff(21590,plain,
% 14.20/9.99 (~m_main_v_state(s270, c_busy)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21589, 85, 21583])).
% 14.20/9.99 tff(21591,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s270, c_busy) | m_main_v_state(s270, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s270, c_busy) | m_main_v_state(s270, c_ready))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21592,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s270, c_busy) | m_main_v_state(s270, c_ready))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21593,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s270, c_busy) | m_main_v_state(s270, c_ready)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21592, 21591])).
% 14.20/9.99 tff(21594,plain,
% 14.20/9.99 ($false),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21593, 102, 21590, 21582])).
% 14.20/9.99 tff(21595,plain,((~until5(s270)) | xuntil6(s271) | m_main_v_state(s272, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.99 tff(21596,plain,
% 14.20/9.99 (~until5(s270)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21595, 21528, 21508])).
% 14.20/9.99 tff(21597,plain,
% 14.20/9.99 (~xuntil6(s269)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20298, 21596])).
% 14.20/9.99 tff(21598,assumption,(~always3(s269)), introduced(assumption)).
% 14.20/9.99 tff(21599,plain,
% 14.20/9.99 (~always3(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20336, 21598])).
% 14.20/9.99 tff(21600,plain,
% 14.20/9.99 (~node4(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20340, 36, 21599])).
% 14.20/9.99 tff(21601,plain,
% 14.20/9.99 (~node4(s269)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20311, 36, 21598])).
% 14.20/9.99 tff(21602,assumption,(~xuntil6(s269)), introduced(assumption)).
% 14.20/9.99 tff(21603,plain,
% 14.20/9.99 (node4(s269) | (~until5(s269))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20318, 294, 21602])).
% 14.20/9.99 tff(21604,plain,
% 14.20/9.99 (~until5(s269)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21603, 21601])).
% 14.20/9.99 tff(21605,plain,
% 14.20/9.99 (~xuntil6(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20327, 21604])).
% 14.20/9.99 tff(21606,plain,
% 14.20/9.99 (~always3(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20365, 21599])).
% 14.20/9.99 tff(21607,plain,
% 14.20/9.99 (~node4(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20369, 36, 21606])).
% 14.20/9.99 tff(21608,plain,
% 14.20/9.99 (xuntil6(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21480, 21607])).
% 14.20/9.99 tff(21609,plain,
% 14.20/9.99 (until5(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20356, 21608])).
% 14.20/9.99 tff(21610,plain,
% 14.20/9.99 ($false),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20347, 294, 21609, 21605, 21600])).
% 14.20/9.99 tff(21611,plain,(always3(s269) | (~until5(s267)) | xuntil6(s269)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.99 tff(21612,plain,
% 14.20/9.99 (always3(s269)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21611, 21170, 21597])).
% 14.20/9.99 tff(21613,plain,
% 14.20/9.99 (always3(s270)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20307, 21612])).
% 14.20/9.99 tff(21614,plain,
% 14.20/9.99 (~m_main_v_state(s270, c_busy)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21589, 85, 21613])).
% 14.20/9.99 tff(21615,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s269)) | (~m_main_v_state(s269, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s269)) | (~m_main_v_state(s269, c_busy)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21616,plain,
% 14.20/9.99 (((~m_main_v_state(s269, c_busy)) | (~always3(s269))) <=> ((~always3(s269)) | (~m_main_v_state(s269, c_busy)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21617,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s269, c_busy)) | (~always3(s269)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s269)) | (~m_main_v_state(s269, c_busy))))),
% 14.20/9.99 inference(monotonicity,[status(thm)],[21616])).
% 14.20/9.99 tff(21618,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s269, c_busy)) | (~always3(s269)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s269)) | (~m_main_v_state(s269, c_busy)))),
% 14.20/9.99 inference(transitivity,[status(thm)],[21617, 21615])).
% 14.20/9.99 tff(21619,plain,
% 14.20/9.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s269, c_busy)) | (~always3(s269)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21620,plain,
% 14.20/9.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s269)) | (~m_main_v_state(s269, c_busy))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21619, 21618])).
% 14.20/9.99 tff(21621,plain,
% 14.20/9.99 (~m_main_v_state(s269, c_busy)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21620, 85, 21612])).
% 14.20/9.99 tff(21622,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21623,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21624,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21623, 21622])).
% 14.20/9.99 tff(21625,plain,
% 14.20/9.99 (m_main_v_state(s269, c_ready)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21624, 102, 21621])).
% 14.20/9.99 tff(21626,plain,
% 14.20/9.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s269, s270)) | node2(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s269, s270)) | node2(s269, s270))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21627,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s269, s270)) | node2(s269, s270))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21628,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s269, s270)) | node2(s269, s270)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21627, 21626])).
% 14.20/9.99 tff(21629,plain,
% 14.20/9.99 (node2(s269, s270)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21628, 7, 20303])).
% 14.20/9.99 tff(21630,plain,
% 14.20/9.99 (((~![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(s269, c_ready)) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s269, c_ready)) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21631,plain,
% 14.20/9.99 ((~![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(s269, c_ready)) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21632,plain,
% 14.20/9.99 ((~![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(s269, c_ready)) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21631, 21630])).
% 14.20/9.99 tff(21633,plain,
% 14.20/9.99 ((~m_main_v_state(s269, c_ready)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21632, 73, 21629])).
% 14.20/9.99 tff(21634,plain,
% 14.20/9.99 (~m_main_v_request(s269)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21633, 21625, 21614])).
% 14.20/9.99 tff(21635,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s269) | (~node4(s269)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s269) | (~node4(s269)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21636,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s269) | (~node4(s269)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21637,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s269) | (~node4(s269))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 14.20/9.99 tff(21638,plain,
% 14.20/9.99 (~node4(s269)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21637, 21, 21634])).
% 14.20/9.99 tff(21639,plain,
% 14.20/9.99 (node4(s269) | (~until5(s269))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20318, 294, 21597])).
% 14.20/9.99 tff(21640,plain,
% 14.20/9.99 (~until5(s269)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21639, 21638])).
% 14.20/9.99 tff(21641,plain,
% 14.20/9.99 (~xuntil6(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20327, 21640])).
% 14.20/9.99 tff(21642,assumption,(~always3(s268)), introduced(assumption)).
% 14.20/9.99 tff(21643,plain,
% 14.20/9.99 (~always3(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20365, 21642])).
% 14.20/9.99 tff(21644,plain,
% 14.20/9.99 (~node4(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20369, 36, 21643])).
% 14.20/9.99 tff(21645,plain,
% 14.20/9.99 (xuntil6(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21480, 21644])).
% 14.20/9.99 tff(21646,plain,
% 14.20/9.99 (until5(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20356, 21645])).
% 14.20/9.99 tff(21647,assumption,(~xuntil6(s268)), introduced(assumption)).
% 14.20/9.99 tff(21648,plain,
% 14.20/9.99 (node4(s268) | (~until5(s268))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20347, 294, 21647])).
% 14.20/9.99 tff(21649,plain,
% 14.20/9.99 (node4(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21648, 21646])).
% 14.20/9.99 tff(21650,plain,
% 14.20/9.99 ($false),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20340, 36, 21642, 21649])).
% 14.20/9.99 tff(21651,plain,(always3(s268) | xuntil6(s268) | (~until5(s267))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.99 tff(21652,plain,
% 14.20/9.99 (always3(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21651, 21641, 21170])).
% 14.20/9.99 tff(21653,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s268)) | (~m_main_v_state(s268, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s268)) | (~m_main_v_state(s268, c_busy)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21654,plain,
% 14.20/9.99 (((~m_main_v_state(s268, c_busy)) | (~always3(s268))) <=> ((~always3(s268)) | (~m_main_v_state(s268, c_busy)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21655,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s268, c_busy)) | (~always3(s268)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s268)) | (~m_main_v_state(s268, c_busy))))),
% 14.20/9.99 inference(monotonicity,[status(thm)],[21654])).
% 14.20/9.99 tff(21656,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s268, c_busy)) | (~always3(s268)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s268)) | (~m_main_v_state(s268, c_busy)))),
% 14.20/9.99 inference(transitivity,[status(thm)],[21655, 21653])).
% 14.20/9.99 tff(21657,plain,
% 14.20/9.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s268, c_busy)) | (~always3(s268)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21658,plain,
% 14.20/9.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s268)) | (~m_main_v_state(s268, c_busy))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 14.20/9.99 tff(21659,plain,
% 14.20/9.99 (~m_main_v_state(s268, c_busy)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21658, 85, 21652])).
% 14.20/9.99 tff(21660,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21661,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21662,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21661, 21660])).
% 14.20/9.99 tff(21663,plain,
% 14.20/9.99 (m_main_v_state(s268, c_ready)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21662, 102, 21659])).
% 14.20/9.99 tff(21664,plain,
% 14.20/9.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s268, s269)) | node2(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s268, s269)) | node2(s268, s269))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21665,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s268, s269)) | node2(s268, s269))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21666,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s268, s269)) | node2(s268, s269)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21665, 21664])).
% 14.20/9.99 tff(21667,plain,
% 14.20/9.99 (node2(s268, s269)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21666, 7, 20332])).
% 14.20/9.99 tff(21668,plain,
% 14.20/9.99 (((~![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(s268, c_ready)) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s268, c_ready)) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21669,plain,
% 14.20/9.99 ((~![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(s268, c_ready)) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21670,plain,
% 14.20/9.99 ((~![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(s268, c_ready)) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21669, 21668])).
% 14.20/9.99 tff(21671,plain,
% 14.20/9.99 ((~m_main_v_state(s268, c_ready)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21670, 73, 21667])).
% 14.20/9.99 tff(21672,plain,
% 14.20/9.99 (~m_main_v_request(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21671, 21663, 21621])).
% 14.20/9.99 tff(21673,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s268) | (~node4(s268)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s268) | (~node4(s268)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21674,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s268) | (~node4(s268)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21675,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s268) | (~node4(s268))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21674, 21673])).
% 14.20/9.99 tff(21676,plain,
% 14.20/9.99 (~node4(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21675, 21, 21672])).
% 14.20/9.99 tff(21677,plain,
% 14.20/9.99 (node4(s268) | (~until5(s268))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20347, 294, 21641])).
% 14.20/9.99 tff(21678,plain,
% 14.20/9.99 (~until5(s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21677, 21676])).
% 14.20/9.99 tff(21679,plain,
% 14.20/9.99 (~xuntil6(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20356, 21678])).
% 14.20/9.99 tff(21680,plain,
% 14.20/9.99 (node4(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21480, 21679])).
% 14.20/9.99 tff(21681,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s267) | (~node4(s267)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s267) | (~node4(s267)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21682,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s267) | (~node4(s267)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21683,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s267) | (~node4(s267))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21682, 21681])).
% 14.20/9.99 tff(21684,plain,
% 14.20/9.99 (m_main_v_request(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21683, 21, 21680])).
% 14.20/9.99 tff(21685,plain,
% 14.20/9.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s267, s268)) | node2(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s267, s268)) | node2(s267, s268))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21686,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s267, s268)) | node2(s267, s268))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21687,plain,
% 14.20/9.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s267, s268)) | node2(s267, s268)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21686, 21685])).
% 14.20/9.99 tff(21688,plain,
% 14.20/9.99 (node2(s267, s268)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21687, 7, 20361])).
% 14.20/9.99 tff(21689,plain,
% 14.20/9.99 (((~![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(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21690,plain,
% 14.20/9.99 ((~![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(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21691,plain,
% 14.20/9.99 ((~![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(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21690, 21689])).
% 14.20/9.99 tff(21692,plain,
% 14.20/9.99 ((~m_main_v_state(s267, c_ready)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21691, 73, 21688])).
% 14.20/9.99 tff(21693,plain,
% 14.20/9.99 (~m_main_v_state(s267, c_ready)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21692, 21684, 21659])).
% 14.20/9.99 tff(21694,plain,
% 14.20/9.99 (always3(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20369, 36, 21680])).
% 14.20/9.99 tff(21695,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s267)) | (~m_main_v_state(s267, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s267)) | (~m_main_v_state(s267, c_busy)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21696,plain,
% 14.20/9.99 (((~m_main_v_state(s267, c_busy)) | (~always3(s267))) <=> ((~always3(s267)) | (~m_main_v_state(s267, c_busy)))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21697,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s267, c_busy)) | (~always3(s267)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s267)) | (~m_main_v_state(s267, c_busy))))),
% 14.20/9.99 inference(monotonicity,[status(thm)],[21696])).
% 14.20/9.99 tff(21698,plain,
% 14.20/9.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s267, c_busy)) | (~always3(s267)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s267)) | (~m_main_v_state(s267, c_busy)))),
% 14.20/9.99 inference(transitivity,[status(thm)],[21697, 21695])).
% 14.20/9.99 tff(21699,plain,
% 14.20/9.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s267, c_busy)) | (~always3(s267)))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21700,plain,
% 14.20/9.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s267)) | (~m_main_v_state(s267, c_busy))),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21699, 21698])).
% 14.20/9.99 tff(21701,plain,
% 14.20/9.99 (~m_main_v_state(s267, c_busy)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21700, 85, 21694])).
% 14.20/9.99 tff(21702,plain,
% 14.20/9.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready))),
% 14.20/9.99 inference(rewrite,[status(thm)],[])).
% 14.20/9.99 tff(21703,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready))),
% 14.20/9.99 inference(quant_inst,[status(thm)],[])).
% 14.20/9.99 tff(21704,plain,
% 14.20/9.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready)),
% 14.20/9.99 inference(modus_ponens,[status(thm)],[21703, 21702])).
% 14.20/9.99 tff(21705,plain,
% 14.20/9.99 ($false),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21704, 102, 21701, 21693])).
% 14.20/9.99 tff(21706,plain,((~until5(s267)) | xuntil6(s272) | m_main_v_state(s273, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.20/9.99 tff(21707,plain,
% 14.20/9.99 (m_main_v_state(s273, c_busy)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21706, 21470, 21170])).
% 14.20/9.99 tff(21708,plain,
% 14.20/9.99 ($false),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21462, 85, 21438, 21707])).
% 14.20/9.99 tff(21709,plain,(xuntil6(s273) | (~until5(s267)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.20/9.99 tff(21710,plain,
% 14.20/9.99 (~until5(s267)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21709, 21169, 19988])).
% 14.20/9.99 tff(21711,plain,
% 14.20/9.99 (~xuntil6(s266)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20385, 21710])).
% 14.20/9.99 tff(21712,assumption,(~xuntil6(s266)), introduced(assumption)).
% 14.20/9.99 tff(21713,assumption,(~always3(s266)), introduced(assumption)).
% 14.20/9.99 tff(21714,plain,
% 14.20/9.99 (~always3(s265)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20423, 21713])).
% 14.20/9.99 tff(21715,plain,
% 14.20/9.99 (~node4(s265)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[20427, 36, 21714])).
% 14.20/9.99 tff(21716,plain,
% 14.20/9.99 (~node4(s266)),
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20405, 294, 21712])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21717, 21716])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20414, 21718])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20434, 294, 21719, 21715])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20443, 21720])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20452, 21714])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20456, 36, 21722])).
% 14.20/9.99 tff(21724,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20463, 294, 21723])).
% 14.20/9.99 tff(21725,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21724, 21721])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20472, 21725])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20481, 21722])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20485, 36, 21727])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20492, 294, 21728])).
% 14.20/9.99 tff(21730,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21729, 21726])).
% 14.20/9.99 tff(21731,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20501, 21730])).
% 14.20/9.99 tff(21732,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20510, 21727])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20514, 36, 21732])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20521, 294, 21733])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21734, 21731])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20530, 21735])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20539, 21732])).
% 14.20/9.99 tff(21738,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20543, 36, 21737])).
% 14.20/9.99 tff(21739,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20550, 294, 21738])).
% 14.20/9.99 tff(21740,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21739, 21736])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20559, 21740])).
% 14.20/9.99 tff(21742,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20568, 21737])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20572, 36, 21742])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20579, 294, 21743])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21744, 21741])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20588, 21745])).
% 14.20/9.99 tff(21747,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20597, 21742])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20601, 36, 21747])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20608, 294, 21748])).
% 14.20/9.99 tff(21750,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21749, 21746])).
% 14.20/9.99 tff(21751,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20617, 21750])).
% 14.20/9.99 tff(21752,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20626, 21747])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20630, 36, 21752])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20637, 294, 21753])).
% 14.20/9.99 tff(21755,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21754, 21751])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20646, 21755])).
% 14.20/9.99 tff(21757,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20655, 21752])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20659, 36, 21757])).
% 14.20/9.99 tff(21759,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20666, 294, 21758])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21759, 21756])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20672, 21760])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19912, 21757])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20677, 36, 21762])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[20684, 294, 21763])).
% 14.20/9.99 tff(21765,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21764, 21761])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19898, 21765])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19863, 21762])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19694, 294, 21768])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21769, 21766])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19678, 21770])).
% 14.20/9.99 tff(21772,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19643, 21767])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19631, 36, 21772])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19672, 294, 21773])).
% 14.20/9.99 tff(21775,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21774, 21771])).
% 14.20/9.99 tff(21776,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[19622, 21775])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[18295, 21772])).
% 14.20/9.99 tff(21778,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17246, 294, 21778])).
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21779, 21776])).
% 14.20/9.99 tff(21781,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17252, 21780])).
% 14.20/9.99 tff(21782,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17219, 21777])).
% 14.20/9.99 tff(21783,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17261, 36, 21782])).
% 14.20/9.99 tff(21784,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17297, 294, 21783])).
% 14.20/9.99 tff(21785,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21784, 21781])).
% 14.20/9.99 tff(21786,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17303, 21785])).
% 14.20/9.99 tff(21787,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17231, 21782])).
% 14.20/9.99 tff(21788,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17235, 36, 21787])).
% 14.20/9.99 tff(21789,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17310, 294, 21788])).
% 14.20/9.99 tff(21790,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21789, 21786])).
% 14.20/9.99 tff(21791,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17318, 21790])).
% 14.20/9.99 tff(21792,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17336, 21787])).
% 14.20/9.99 tff(21793,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17327, 36, 21792])).
% 14.20/9.99 tff(21794,plain,
% 14.20/9.99 (xuntil6(s250) | (~until5(s250))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17371, 294, 21793])).
% 14.20/9.99 tff(21795,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21794, 21791])).
% 14.20/9.99 tff(21796,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17380, 21795])).
% 14.20/9.99 tff(21797,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17390, 21792])).
% 14.20/9.99 tff(21798,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17394, 36, 21797])).
% 14.20/9.99 tff(21799,plain,
% 14.20/9.99 (xuntil6(s249) | (~until5(s249))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17401, 294, 21798])).
% 14.20/9.99 tff(21800,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21799, 21796])).
% 14.20/9.99 tff(21801,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17410, 21800])).
% 14.20/9.99 tff(21802,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17419, 21797])).
% 14.20/9.99 tff(21803,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17423, 36, 21802])).
% 14.20/9.99 tff(21804,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17430, 294, 21803])).
% 14.20/9.99 tff(21805,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21804, 21801])).
% 14.20/9.99 tff(21806,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17439, 21805])).
% 14.20/9.99 tff(21807,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17448, 21802])).
% 14.20/9.99 tff(21808,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17452, 36, 21807])).
% 14.20/9.99 tff(21809,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17459, 294, 21808])).
% 14.20/9.99 tff(21810,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21809, 21806])).
% 14.20/9.99 tff(21811,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17468, 21810])).
% 14.20/9.99 tff(21812,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17477, 21807])).
% 14.20/9.99 tff(21813,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17481, 36, 21812])).
% 14.20/9.99 tff(21814,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17488, 294, 21813])).
% 14.20/9.99 tff(21815,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21814, 21811])).
% 14.20/9.99 tff(21816,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17497, 21815])).
% 14.20/9.99 tff(21817,plain,
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% 14.20/9.99 tff(21818,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17510, 36, 21817])).
% 14.20/9.99 tff(21819,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17517, 294, 21818])).
% 14.20/9.99 tff(21820,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21819, 21816])).
% 14.20/9.99 tff(21821,plain,
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% 14.20/9.99 tff(21822,plain,
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% 14.20/9.99 tff(21823,plain,
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% 14.20/9.99 tff(21824,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17546, 294, 21823])).
% 14.20/9.99 tff(21825,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[21824, 21821])).
% 14.20/9.99 tff(21826,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17564, 21822])).
% 14.20/9.99 tff(21827,plain,
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% 14.20/9.99 tff(21828,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17622, 21827])).
% 14.20/9.99 tff(21829,plain,
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% 14.20/9.99 tff(21830,plain,
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% 14.20/9.99 tff(21831,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17743, 21830])).
% 14.20/9.99 tff(21832,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17772, 21831])).
% 14.20/9.99 tff(21833,plain,
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% 14.20/9.99 tff(21834,plain,
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% 14.20/9.99 tff(21835,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17820, 21834])).
% 14.20/9.99 tff(21836,plain,
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% 14.20/9.99 tff(21837,plain,
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% 14.20/9.99 inference(unit_resolution,[status(thm)],[17844, 21836])).
% 14.20/9.99 tff(21838,plain,
% 14.20/9.99 (~always3(s231)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17856, 21837])).
% 14.20/9.99 tff(21839,plain,
% 14.20/9.99 (~always3(s230)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17868, 21838])).
% 14.20/9.99 tff(21840,plain,
% 14.20/9.99 (~always3(s229)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17880, 21839])).
% 14.20/9.99 tff(21841,plain,
% 14.20/9.99 (~always3(s228)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17892, 21840])).
% 14.20/9.99 tff(21842,plain,
% 14.20/9.99 (~always3(s227)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17904, 21841])).
% 14.20/9.99 tff(21843,plain,
% 14.20/9.99 (~always3(s226)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17916, 21842])).
% 14.20/9.99 tff(21844,plain,
% 14.20/9.99 (~always3(s225)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17928, 21843])).
% 14.20/9.99 tff(21845,plain,
% 14.20/9.99 (~always3(s224)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17940, 21844])).
% 14.20/9.99 tff(21846,plain,
% 14.20/9.99 (~always3(s223)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17952, 21845])).
% 14.20/9.99 tff(21847,plain,
% 14.20/9.99 (~always3(s222)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17964, 21846])).
% 14.20/9.99 tff(21848,plain,
% 14.20/9.99 (~node4(s222)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17968, 36, 21847])).
% 14.20/9.99 tff(21849,plain,
% 14.20/9.99 (~always3(s221)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17980, 21847])).
% 14.20/9.99 tff(21850,plain,
% 14.20/9.99 (~node4(s221)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17984, 36, 21849])).
% 14.20/9.99 tff(21851,plain,
% 14.20/9.99 (~always3(s220)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[15896, 21849])).
% 14.20/9.99 tff(21852,plain,
% 14.20/9.99 (xuntil6(s220)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[15877, 21851, 14862])).
% 14.20/9.99 tff(21853,plain,
% 14.20/9.99 (until5(s221)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17204, 21852])).
% 14.20/9.99 tff(21854,plain,
% 14.20/9.99 (xuntil6(s221) | node4(s221)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17991, 294, 21853])).
% 14.20/9.99 tff(21855,plain,
% 14.20/9.99 (xuntil6(s221)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21854, 21850])).
% 14.20/9.99 tff(21856,plain,
% 14.20/9.99 (until5(s222)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[17997, 21855])).
% 14.20/9.99 tff(21857,plain,
% 14.20/9.99 (xuntil6(s222)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18004, 294, 21856, 21848])).
% 14.20/9.99 tff(21858,plain,
% 14.20/9.99 (until5(s223)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18009, 21857])).
% 14.20/9.99 tff(21859,plain,
% 14.20/9.99 (~node4(s223)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18013, 36, 21846])).
% 14.20/9.99 tff(21860,plain,
% 14.20/9.99 (xuntil6(s223) | (~until5(s223))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18020, 294, 21859])).
% 14.20/9.99 tff(21861,plain,
% 14.20/9.99 (xuntil6(s223)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21860, 21858])).
% 14.20/9.99 tff(21862,plain,
% 14.20/9.99 (until5(s224)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18026, 21861])).
% 14.20/9.99 tff(21863,plain,
% 14.20/9.99 (~node4(s224)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18030, 36, 21845])).
% 14.20/9.99 tff(21864,plain,
% 14.20/9.99 (xuntil6(s224) | (~until5(s224))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18037, 294, 21863])).
% 14.20/9.99 tff(21865,plain,
% 14.20/9.99 (xuntil6(s224)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[21864, 21862])).
% 14.20/9.99 tff(21866,plain,
% 14.20/9.99 (until5(s225)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18043, 21865])).
% 14.20/9.99 tff(21867,plain,
% 14.20/9.99 (~node4(s225)),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18047, 36, 21844])).
% 14.20/9.99 tff(21868,plain,
% 14.20/9.99 (xuntil6(s225) | (~until5(s225))),
% 14.20/9.99 inference(unit_resolution,[status(thm)],[18054, 294, 21867])).
% 14.20/10.00 tff(21869,plain,
% 14.20/10.00 (xuntil6(s225)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21868, 21866])).
% 14.20/10.00 tff(21870,plain,
% 14.20/10.00 (until5(s226)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18060, 21869])).
% 14.20/10.00 tff(21871,plain,
% 14.20/10.00 (~node4(s226)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18064, 36, 21843])).
% 14.20/10.00 tff(21872,plain,
% 14.20/10.00 (xuntil6(s226) | (~until5(s226))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18071, 294, 21871])).
% 14.20/10.00 tff(21873,plain,
% 14.20/10.00 (xuntil6(s226)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21872, 21870])).
% 14.20/10.00 tff(21874,plain,
% 14.20/10.00 (until5(s227)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18077, 21873])).
% 14.20/10.00 tff(21875,plain,
% 14.20/10.00 (~node4(s227)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18081, 36, 21842])).
% 14.20/10.00 tff(21876,plain,
% 14.20/10.00 (xuntil6(s227) | (~until5(s227))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18088, 294, 21875])).
% 14.20/10.00 tff(21877,plain,
% 14.20/10.00 (xuntil6(s227)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21876, 21874])).
% 14.20/10.00 tff(21878,plain,
% 14.20/10.00 (until5(s228)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18094, 21877])).
% 14.20/10.00 tff(21879,plain,
% 14.20/10.00 (~node4(s228)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18098, 36, 21841])).
% 14.20/10.00 tff(21880,plain,
% 14.20/10.00 (xuntil6(s228) | (~until5(s228))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18105, 294, 21879])).
% 14.20/10.00 tff(21881,plain,
% 14.20/10.00 (xuntil6(s228)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21880, 21878])).
% 14.20/10.00 tff(21882,plain,
% 14.20/10.00 (until5(s229)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18111, 21881])).
% 14.20/10.00 tff(21883,plain,
% 14.20/10.00 (~node4(s229)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18115, 36, 21840])).
% 14.20/10.00 tff(21884,plain,
% 14.20/10.00 (xuntil6(s229) | (~until5(s229))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18122, 294, 21883])).
% 14.20/10.00 tff(21885,plain,
% 14.20/10.00 (xuntil6(s229)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21884, 21882])).
% 14.20/10.00 tff(21886,plain,
% 14.20/10.00 (until5(s230)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18128, 21885])).
% 14.20/10.00 tff(21887,plain,
% 14.20/10.00 (~node4(s230)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18132, 36, 21839])).
% 14.20/10.00 tff(21888,plain,
% 14.20/10.00 (xuntil6(s230) | (~until5(s230))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18139, 294, 21887])).
% 14.20/10.00 tff(21889,plain,
% 14.20/10.00 (xuntil6(s230)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21888, 21886])).
% 14.20/10.00 tff(21890,plain,
% 14.20/10.00 (until5(s231)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18145, 21889])).
% 14.20/10.00 tff(21891,plain,
% 14.20/10.00 (~node4(s231)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18149, 36, 21838])).
% 14.20/10.00 tff(21892,plain,
% 14.20/10.00 (xuntil6(s231) | (~until5(s231))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18156, 294, 21891])).
% 14.20/10.00 tff(21893,plain,
% 14.20/10.00 (xuntil6(s231)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21892, 21890])).
% 14.20/10.00 tff(21894,plain,
% 14.20/10.00 (until5(s232)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18162, 21893])).
% 14.20/10.00 tff(21895,plain,
% 14.20/10.00 (~node4(s232)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18166, 36, 21837])).
% 14.20/10.00 tff(21896,plain,
% 14.20/10.00 (xuntil6(s232) | (~until5(s232))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18173, 294, 21895])).
% 14.20/10.00 tff(21897,plain,
% 14.20/10.00 (xuntil6(s232)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21896, 21894])).
% 14.20/10.00 tff(21898,plain,
% 14.20/10.00 (until5(s233)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18179, 21897])).
% 14.20/10.00 tff(21899,plain,
% 14.20/10.00 (~node4(s233)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18183, 36, 21836])).
% 14.20/10.00 tff(21900,plain,
% 14.20/10.00 (xuntil6(s233) | (~until5(s233))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18190, 294, 21899])).
% 14.20/10.00 tff(21901,plain,
% 14.20/10.00 (xuntil6(s233)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21900, 21898])).
% 14.20/10.00 tff(21902,plain,
% 14.20/10.00 (until5(s234)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18196, 21901])).
% 14.20/10.00 tff(21903,plain,
% 14.20/10.00 (~node4(s234)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18200, 36, 21835])).
% 14.20/10.00 tff(21904,plain,
% 14.20/10.00 (xuntil6(s234) | (~until5(s234))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18207, 294, 21903])).
% 14.20/10.00 tff(21905,plain,
% 14.20/10.00 (xuntil6(s234)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21904, 21902])).
% 14.20/10.00 tff(21906,plain,
% 14.20/10.00 (until5(s235)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18213, 21905])).
% 14.20/10.00 tff(21907,plain,
% 14.20/10.00 (~node4(s235)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18217, 36, 21834])).
% 14.20/10.00 tff(21908,plain,
% 14.20/10.00 (xuntil6(s235) | (~until5(s235))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18224, 294, 21907])).
% 14.20/10.00 tff(21909,plain,
% 14.20/10.00 (xuntil6(s235)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21908, 21906])).
% 14.20/10.00 tff(21910,plain,
% 14.20/10.00 (until5(s236)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18230, 21909])).
% 14.20/10.00 tff(21911,plain,
% 14.20/10.00 (~node4(s236)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18239, 36, 21833])).
% 14.20/10.00 tff(21912,plain,
% 14.20/10.00 (xuntil6(s236) | (~until5(s236))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18275, 294, 21911])).
% 14.20/10.00 tff(21913,plain,
% 14.20/10.00 (xuntil6(s236)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21912, 21910])).
% 14.20/10.00 tff(21914,plain,
% 14.20/10.00 (until5(s237)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[18281, 21913])).
% 14.20/10.00 tff(21915,plain,
% 14.20/10.00 (~node4(s237)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17776, 36, 21832])).
% 14.20/10.00 tff(21916,plain,
% 14.20/10.00 (xuntil6(s237) | (~until5(s237))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17783, 294, 21915])).
% 14.20/10.00 tff(21917,plain,
% 14.20/10.00 (xuntil6(s237)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21916, 21914])).
% 14.20/10.00 tff(21918,plain,
% 14.20/10.00 (until5(s238)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17763, 21917])).
% 14.20/10.00 tff(21919,plain,
% 14.20/10.00 (~node4(s238)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17747, 36, 21831])).
% 14.20/10.00 tff(21920,plain,
% 14.20/10.00 (xuntil6(s238) | (~until5(s238))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17754, 294, 21919])).
% 14.20/10.00 tff(21921,plain,
% 14.20/10.00 (xuntil6(s238)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21920, 21918])).
% 14.20/10.00 tff(21922,plain,
% 14.20/10.00 (until5(s239)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17733, 21921])).
% 14.20/10.00 tff(21923,plain,
% 14.20/10.00 (~node4(s239)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17680, 36, 21830])).
% 14.20/10.00 tff(21924,plain,
% 14.20/10.00 (xuntil6(s239) | (~until5(s239))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17724, 294, 21923])).
% 14.20/10.00 tff(21925,plain,
% 14.20/10.00 (xuntil6(s239)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21924, 21922])).
% 14.20/10.00 tff(21926,plain,
% 14.20/10.00 (until5(s240)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17671, 21925])).
% 14.20/10.00 tff(21927,plain,
% 14.20/10.00 (~node4(s240)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17655, 36, 21829])).
% 14.20/10.00 tff(21928,plain,
% 14.20/10.00 (xuntil6(s240) | (~until5(s240))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17662, 294, 21927])).
% 14.20/10.00 tff(21929,plain,
% 14.20/10.00 (xuntil6(s240)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21928, 21926])).
% 14.20/10.00 tff(21930,plain,
% 14.20/10.00 (until5(s241)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17642, 21929])).
% 14.20/10.00 tff(21931,plain,
% 14.20/10.00 (~node4(s241)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17626, 36, 21828])).
% 14.20/10.00 tff(21932,plain,
% 14.20/10.00 (xuntil6(s241) | (~until5(s241))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17633, 294, 21931])).
% 14.20/10.00 tff(21933,plain,
% 14.20/10.00 (xuntil6(s241)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21932, 21930])).
% 14.20/10.00 tff(21934,plain,
% 14.20/10.00 (until5(s242)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17613, 21933])).
% 14.20/10.00 tff(21935,plain,
% 14.20/10.00 (~node4(s242)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17597, 36, 21827])).
% 14.20/10.00 tff(21936,plain,
% 14.20/10.00 (xuntil6(s242) | (~until5(s242))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17604, 294, 21935])).
% 14.20/10.00 tff(21937,plain,
% 14.20/10.00 (xuntil6(s242)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21936, 21934])).
% 14.20/10.00 tff(21938,plain,
% 14.20/10.00 (until5(s243)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17584, 21937])).
% 14.20/10.00 tff(21939,plain,
% 14.20/10.00 (~node4(s243)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17568, 36, 21826])).
% 14.20/10.00 tff(21940,plain,
% 14.20/10.00 (xuntil6(s243) | (~until5(s243))),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17575, 294, 21939])).
% 14.20/10.00 tff(21941,plain,
% 14.20/10.00 (xuntil6(s243)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21940, 21938])).
% 14.20/10.00 tff(21942,plain,
% 14.20/10.00 ($false),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[17555, 21941, 21825])).
% 14.20/10.00 tff(21943,plain,(always3(s266) | xuntil6(s266) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.20/10.00 tff(21944,plain,
% 14.20/10.00 (always3(s266)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21943, 21712, 14862])).
% 14.20/10.00 tff(21945,plain,
% 14.20/10.00 (always3(s267)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[20394, 21944])).
% 14.20/10.00 tff(21946,plain,
% 14.20/10.00 (~m_main_v_state(s267, c_busy)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21700, 85, 21945])).
% 14.20/10.00 tff(21947,assumption,(until5(s266)), introduced(assumption)).
% 14.20/10.00 tff(21948,plain,
% 14.20/10.00 (xuntil6(s266) | node4(s266)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[20405, 294, 21947])).
% 14.20/10.00 tff(21949,plain,
% 14.20/10.00 (node4(s266)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21948, 21712])).
% 14.20/10.00 tff(21950,plain,
% 14.20/10.00 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s266) | (~node4(s266)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s266) | (~node4(s266)))),
% 14.20/10.00 inference(rewrite,[status(thm)],[])).
% 14.20/10.00 tff(21951,plain,
% 14.20/10.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s266) | (~node4(s266)))),
% 14.20/10.00 inference(quant_inst,[status(thm)],[])).
% 14.20/10.00 tff(21952,plain,
% 14.20/10.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s266) | (~node4(s266))),
% 14.20/10.00 inference(modus_ponens,[status(thm)],[21951, 21950])).
% 14.20/10.00 tff(21953,plain,
% 14.20/10.00 (m_main_v_request(s266)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21952, 21, 21949])).
% 14.20/10.00 tff(21954,plain,
% 14.20/10.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s266, s267)) | node2(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s266, s267)) | node2(s266, s267))),
% 14.20/10.00 inference(rewrite,[status(thm)],[])).
% 14.20/10.00 tff(21955,plain,
% 14.20/10.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s266, s267)) | node2(s266, s267))),
% 14.20/10.00 inference(quant_inst,[status(thm)],[])).
% 14.20/10.00 tff(21956,plain,
% 14.20/10.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s266, s267)) | node2(s266, s267)),
% 14.20/10.00 inference(modus_ponens,[status(thm)],[21955, 21954])).
% 14.20/10.00 tff(21957,plain,
% 14.20/10.00 (node2(s266, s267)),
% 14.20/10.00 inference(unit_resolution,[status(thm)],[21956, 7, 20390])).
% 14.20/10.00 tff(21958,plain,
% 14.20/10.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266)))),
% 14.20/10.00 inference(rewrite,[status(thm)],[])).
% 14.20/10.00 tff(21959,plain,
% 14.20/10.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266)))),
% 14.20/10.00 inference(quant_inst,[status(thm)],[])).
% 14.20/10.00 tff(21960,plain,
% 14.20/10.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266))),
% 14.20/10.00 inference(modus_ponens,[status(thm)],[21959, 21958])).
% 14.20/10.00 tff(21961,plain,
% 14.20/10.00 ((~m_main_v_state(s266, c_ready)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266))),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21960, 73, 21957])).
% 14.29/10.00 tff(21962,plain,
% 14.29/10.00 (~m_main_v_state(s266, c_ready)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21961, 21953, 21946])).
% 14.29/10.00 tff(21963,plain,
% 14.29/10.00 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(21964,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(21965,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready)),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 14.29/10.00 tff(21966,plain,
% 14.29/10.00 (m_main_v_state(s266, c_busy)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21965, 102, 21962])).
% 14.29/10.00 tff(21967,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s266)) | (~m_main_v_state(s266, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s266)) | (~m_main_v_state(s266, c_busy)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(21968,plain,
% 14.29/10.00 (((~m_main_v_state(s266, c_busy)) | (~always3(s266))) <=> ((~always3(s266)) | (~m_main_v_state(s266, c_busy)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(21969,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s266, c_busy)) | (~always3(s266)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s266)) | (~m_main_v_state(s266, c_busy))))),
% 14.29/10.00 inference(monotonicity,[status(thm)],[21968])).
% 14.29/10.00 tff(21970,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s266, c_busy)) | (~always3(s266)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s266)) | (~m_main_v_state(s266, c_busy)))),
% 14.29/10.00 inference(transitivity,[status(thm)],[21969, 21967])).
% 14.29/10.00 tff(21971,plain,
% 14.29/10.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s266, c_busy)) | (~always3(s266)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(21972,plain,
% 14.29/10.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s266)) | (~m_main_v_state(s266, c_busy))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[21971, 21970])).
% 14.29/10.00 tff(21973,plain,
% 14.29/10.00 ($false),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21972, 85, 21944, 21966])).
% 14.29/10.00 tff(21974,plain,(xuntil6(s266) | (~until5(s266)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.00 tff(21975,plain,
% 14.29/10.00 (~until5(s266)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21974, 21711, 19988])).
% 14.29/10.00 tff(21976,plain,
% 14.29/10.00 (~xuntil6(s265)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20414, 21975])).
% 14.29/10.00 tff(21977,plain,
% 14.29/10.00 (always3(s266)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21943, 21711, 19988])).
% 14.29/10.00 tff(21978,plain,
% 14.29/10.00 (~m_main_v_state(s266, c_busy)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21972, 85, 21977])).
% 14.29/10.00 tff(21979,assumption,(~m_main_v_state(s266, c_busy)), introduced(assumption)).
% 14.29/10.00 tff(21980,assumption,(~xuntil6(s265)), introduced(assumption)).
% 14.29/10.00 tff(21981,assumption,(until5(s262)), introduced(assumption)).
% 14.29/10.00 tff(21982,assumption,(~xuntil6(s264)), introduced(assumption)).
% 14.29/10.00 tff(21983,assumption,(node4(s262)), introduced(assumption)).
% 14.29/10.00 tff(21984,plain,
% 14.29/10.00 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s262) | (~node4(s262)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s262) | (~node4(s262)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(21985,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s262) | (~node4(s262)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(21986,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s262) | (~node4(s262))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[21985, 21984])).
% 14.29/10.00 tff(21987,plain,
% 14.29/10.00 (m_main_v_request(s262)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21986, 21, 21983])).
% 14.29/10.00 tff(21988,plain,
% 14.29/10.00 (always3(s262)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20514, 36, 21983])).
% 14.29/10.00 tff(21989,plain,
% 14.29/10.00 (always3(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20510, 21988])).
% 14.29/10.00 tff(21990,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s263)) | (~m_main_v_state(s263, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s263)) | (~m_main_v_state(s263, c_busy)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(21991,plain,
% 14.29/10.00 (((~m_main_v_state(s263, c_busy)) | (~always3(s263))) <=> ((~always3(s263)) | (~m_main_v_state(s263, c_busy)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(21992,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s263, c_busy)) | (~always3(s263)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s263)) | (~m_main_v_state(s263, c_busy))))),
% 14.29/10.00 inference(monotonicity,[status(thm)],[21991])).
% 14.29/10.00 tff(21993,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s263, c_busy)) | (~always3(s263)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s263)) | (~m_main_v_state(s263, c_busy)))),
% 14.29/10.00 inference(transitivity,[status(thm)],[21992, 21990])).
% 14.29/10.00 tff(21994,plain,
% 14.29/10.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s263, c_busy)) | (~always3(s263)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(21995,plain,
% 14.29/10.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s263)) | (~m_main_v_state(s263, c_busy))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[21994, 21993])).
% 14.29/10.00 tff(21996,plain,
% 14.29/10.00 (~m_main_v_state(s263, c_busy)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21995, 85, 21989])).
% 14.29/10.00 tff(21997,plain,
% 14.29/10.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s262, s263)) | node2(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s262, s263)) | node2(s262, s263))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(21998,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s262, s263)) | node2(s262, s263))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(21999,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s262, s263)) | node2(s262, s263)),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[21998, 21997])).
% 14.29/10.00 tff(22000,plain,
% 14.29/10.00 (node2(s262, s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21999, 7, 20506])).
% 14.29/10.00 tff(22001,plain,
% 14.29/10.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22002,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22003,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22002, 22001])).
% 14.29/10.00 tff(22004,plain,
% 14.29/10.00 ((~m_main_v_state(s262, c_ready)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262))),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22003, 73, 22000])).
% 14.29/10.00 tff(22005,plain,
% 14.29/10.00 (~m_main_v_state(s262, c_ready)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22004, 21996, 21987])).
% 14.29/10.00 tff(22006,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s262)) | (~m_main_v_state(s262, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s262)) | (~m_main_v_state(s262, c_busy)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22007,plain,
% 14.29/10.00 (((~m_main_v_state(s262, c_busy)) | (~always3(s262))) <=> ((~always3(s262)) | (~m_main_v_state(s262, c_busy)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22008,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s262, c_busy)) | (~always3(s262)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s262)) | (~m_main_v_state(s262, c_busy))))),
% 14.29/10.00 inference(monotonicity,[status(thm)],[22007])).
% 14.29/10.00 tff(22009,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s262, c_busy)) | (~always3(s262)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s262)) | (~m_main_v_state(s262, c_busy)))),
% 14.29/10.00 inference(transitivity,[status(thm)],[22008, 22006])).
% 14.29/10.00 tff(22010,plain,
% 14.29/10.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s262, c_busy)) | (~always3(s262)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22011,plain,
% 14.29/10.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s262)) | (~m_main_v_state(s262, c_busy))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22010, 22009])).
% 14.29/10.00 tff(22012,plain,
% 14.29/10.00 (~m_main_v_state(s262, c_busy)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22011, 85, 21988])).
% 14.29/10.00 tff(22013,plain,
% 14.29/10.00 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22014,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22015,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready)),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22014, 22013])).
% 14.29/10.00 tff(22016,plain,
% 14.29/10.00 ($false),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22015, 102, 22012, 22005])).
% 14.29/10.00 tff(22017,plain,(~node4(s262)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.00 tff(22018,plain,
% 14.29/10.00 (xuntil6(s262) | (~until5(s262))),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20521, 294, 22017])).
% 14.29/10.00 tff(22019,plain,
% 14.29/10.00 (xuntil6(s262)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22018, 21981])).
% 14.29/10.00 tff(22020,plain,
% 14.29/10.00 (until5(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20501, 22019])).
% 14.29/10.00 tff(22021,assumption,(until5(s263)), introduced(assumption)).
% 14.29/10.00 tff(22022,assumption,(~always3(s264)), introduced(assumption)).
% 14.29/10.00 tff(22023,plain,
% 14.29/10.00 (~always3(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20481, 22022])).
% 14.29/10.00 tff(22024,plain,
% 14.29/10.00 (~node4(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20485, 36, 22023])).
% 14.29/10.00 tff(22025,plain,
% 14.29/10.00 (xuntil6(s263) | node4(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20492, 294, 22021])).
% 14.29/10.00 tff(22026,plain,
% 14.29/10.00 (xuntil6(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22025, 22024])).
% 14.29/10.00 tff(22027,plain,
% 14.29/10.00 (until5(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20472, 22026])).
% 14.29/10.00 tff(22028,plain,
% 14.29/10.00 (node4(s264) | (~until5(s264))),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20463, 294, 21982])).
% 14.29/10.00 tff(22029,plain,
% 14.29/10.00 (node4(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22028, 22027])).
% 14.29/10.00 tff(22030,plain,
% 14.29/10.00 ($false),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20456, 36, 22022, 22029])).
% 14.29/10.00 tff(22031,plain,(always3(s264) | xuntil6(s264) | (~until5(s263))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.00 tff(22032,plain,
% 14.29/10.00 (always3(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22031, 22021, 21982])).
% 14.29/10.00 tff(22033,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s264)) | (~m_main_v_state(s264, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s264)) | (~m_main_v_state(s264, c_busy)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22034,plain,
% 14.29/10.00 (((~m_main_v_state(s264, c_busy)) | (~always3(s264))) <=> ((~always3(s264)) | (~m_main_v_state(s264, c_busy)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22035,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s264, c_busy)) | (~always3(s264)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s264)) | (~m_main_v_state(s264, c_busy))))),
% 14.29/10.00 inference(monotonicity,[status(thm)],[22034])).
% 14.29/10.00 tff(22036,plain,
% 14.29/10.00 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s264, c_busy)) | (~always3(s264)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s264)) | (~m_main_v_state(s264, c_busy)))),
% 14.29/10.00 inference(transitivity,[status(thm)],[22035, 22033])).
% 14.29/10.00 tff(22037,plain,
% 14.29/10.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s264, c_busy)) | (~always3(s264)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22038,plain,
% 14.29/10.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s264)) | (~m_main_v_state(s264, c_busy))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 14.29/10.00 tff(22039,plain,
% 14.29/10.00 (~m_main_v_state(s264, c_busy)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22038, 85, 22032])).
% 14.29/10.00 tff(22040,assumption,(~m_main_v_state(s265, c_busy)), introduced(assumption)).
% 14.29/10.00 tff(22041,plain,
% 14.29/10.00 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22042,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22043,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready)),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 14.29/10.00 tff(22044,plain,
% 14.29/10.00 (m_main_v_state(s264, c_ready)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22043, 102, 22039])).
% 14.29/10.00 tff(22045,plain,
% 14.29/10.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s264, s265)) | node2(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s264, s265)) | node2(s264, s265))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22046,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s264, s265)) | node2(s264, s265))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22047,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s264, s265)) | node2(s264, s265)),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22046, 22045])).
% 14.29/10.00 tff(22048,plain,
% 14.29/10.00 (node2(s264, s265)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22047, 7, 20448])).
% 14.29/10.00 tff(22049,plain,
% 14.29/10.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22050,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22051,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22050, 22049])).
% 14.29/10.00 tff(22052,plain,
% 14.29/10.00 ((~m_main_v_state(s264, c_ready)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264))),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22051, 73, 22048])).
% 14.29/10.00 tff(22053,plain,
% 14.29/10.00 (~m_main_v_request(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22052, 22044, 22040])).
% 14.29/10.00 tff(22054,plain,
% 14.29/10.00 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s264) | (~node4(s264)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s264) | (~node4(s264)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22055,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s264) | (~node4(s264)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22056,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s264) | (~node4(s264))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22055, 22054])).
% 14.29/10.00 tff(22057,plain,
% 14.29/10.00 (~node4(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22056, 21, 22053])).
% 14.29/10.00 tff(22058,plain,
% 14.29/10.00 (~until5(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22028, 22057])).
% 14.29/10.00 tff(22059,plain,
% 14.29/10.00 (~xuntil6(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20472, 22058])).
% 14.29/10.00 tff(22060,plain,
% 14.29/10.00 (node4(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22025, 22059])).
% 14.29/10.00 tff(22061,plain,
% 14.29/10.00 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s263) | (~node4(s263)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s263) | (~node4(s263)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22062,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s263) | (~node4(s263)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22063,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s263) | (~node4(s263))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 14.29/10.00 tff(22064,plain,
% 14.29/10.00 (m_main_v_request(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22063, 21, 22060])).
% 14.29/10.00 tff(22065,plain,
% 14.29/10.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s263, s264)) | node2(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s263, s264)) | node2(s263, s264))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22066,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s263, s264)) | node2(s263, s264))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22067,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s263, s264)) | node2(s263, s264)),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22066, 22065])).
% 14.29/10.00 tff(22068,plain,
% 14.29/10.00 (node2(s263, s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22067, 7, 20477])).
% 14.29/10.00 tff(22069,plain,
% 14.29/10.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263)))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22070,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263)))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22071,plain,
% 14.29/10.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263))),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22070, 22069])).
% 14.29/10.00 tff(22072,plain,
% 14.29/10.00 ((~m_main_v_state(s263, c_ready)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263))),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22071, 73, 22068])).
% 14.29/10.00 tff(22073,plain,
% 14.29/10.00 (~m_main_v_state(s263, c_ready)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22072, 22064, 22039])).
% 14.29/10.00 tff(22074,plain,
% 14.29/10.00 (always3(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20485, 36, 22060])).
% 14.29/10.00 tff(22075,plain,
% 14.29/10.00 (~m_main_v_state(s263, c_busy)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[21995, 85, 22074])).
% 14.29/10.00 tff(22076,plain,
% 14.29/10.00 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready))),
% 14.29/10.00 inference(rewrite,[status(thm)],[])).
% 14.29/10.00 tff(22077,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready))),
% 14.29/10.00 inference(quant_inst,[status(thm)],[])).
% 14.29/10.00 tff(22078,plain,
% 14.29/10.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready)),
% 14.29/10.00 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 14.29/10.00 tff(22079,plain,
% 14.29/10.00 ($false),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22078, 102, 22075, 22073])).
% 14.29/10.00 tff(22080,plain,((~until5(s263)) | xuntil6(s264) | m_main_v_state(s265, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.00 tff(22081,plain,
% 14.29/10.00 (m_main_v_state(s265, c_busy)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22080, 22020, 21982])).
% 14.29/10.00 tff(22082,assumption,(~always3(s265)), introduced(assumption)).
% 14.29/10.00 tff(22083,plain,
% 14.29/10.00 (~always3(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20452, 22082])).
% 14.29/10.00 tff(22084,plain,
% 14.29/10.00 (~always3(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20481, 22083])).
% 14.29/10.00 tff(22085,plain,
% 14.29/10.00 (~node4(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20485, 36, 22084])).
% 14.29/10.00 tff(22086,plain,
% 14.29/10.00 (~always3(s262)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20510, 22084])).
% 14.29/10.00 tff(22087,plain,
% 14.29/10.00 (~node4(s262)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20514, 36, 22086])).
% 14.29/10.00 tff(22088,plain,
% 14.29/10.00 (xuntil6(s262) | node4(s262)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20521, 294, 21981])).
% 14.29/10.00 tff(22089,plain,
% 14.29/10.00 (xuntil6(s262)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22088, 22087])).
% 14.29/10.00 tff(22090,plain,
% 14.29/10.00 (until5(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20501, 22089])).
% 14.29/10.00 tff(22091,plain,
% 14.29/10.00 (xuntil6(s263)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20492, 294, 22090, 22085])).
% 14.29/10.00 tff(22092,plain,
% 14.29/10.00 (until5(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20472, 22091])).
% 14.29/10.00 tff(22093,plain,
% 14.29/10.00 (~node4(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20456, 36, 22083])).
% 14.29/10.00 tff(22094,plain,
% 14.29/10.00 (xuntil6(s264) | (~until5(s264))),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20463, 294, 22093])).
% 14.29/10.00 tff(22095,plain,
% 14.29/10.00 (xuntil6(s264)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22094, 22092])).
% 14.29/10.00 tff(22096,plain,
% 14.29/10.00 (until5(s265)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20443, 22095])).
% 14.29/10.00 tff(22097,plain,
% 14.29/10.00 (node4(s265) | (~until5(s265))),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20434, 294, 21980])).
% 14.29/10.00 tff(22098,plain,
% 14.29/10.00 (node4(s265)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22097, 22096])).
% 14.29/10.00 tff(22099,plain,
% 14.29/10.00 ($false),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[20427, 36, 22082, 22098])).
% 14.29/10.00 tff(22100,plain,(always3(s265) | xuntil6(s265) | (~until5(s262))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.00 tff(22101,plain,
% 14.29/10.00 (always3(s265)),
% 14.29/10.00 inference(unit_resolution,[status(thm)],[22100, 21981, 21980])).
% 14.29/10.00 tff(22102,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s265)) | (~m_main_v_state(s265, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s265)) | (~m_main_v_state(s265, c_busy)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22103,plain,
% 14.29/10.01 (((~m_main_v_state(s265, c_busy)) | (~always3(s265))) <=> ((~always3(s265)) | (~m_main_v_state(s265, c_busy)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22104,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s265, c_busy)) | (~always3(s265)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s265)) | (~m_main_v_state(s265, c_busy))))),
% 14.29/10.01 inference(monotonicity,[status(thm)],[22103])).
% 14.29/10.01 tff(22105,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s265, c_busy)) | (~always3(s265)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s265)) | (~m_main_v_state(s265, c_busy)))),
% 14.29/10.01 inference(transitivity,[status(thm)],[22104, 22102])).
% 14.29/10.01 tff(22106,plain,
% 14.29/10.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s265, c_busy)) | (~always3(s265)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22107,plain,
% 14.29/10.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s265)) | (~m_main_v_state(s265, c_busy))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22106, 22105])).
% 14.29/10.01 tff(22108,plain,
% 14.29/10.01 ($false),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22107, 85, 22101, 22081])).
% 14.29/10.01 tff(22109,plain,((~until5(s262)) | xuntil6(s264) | xuntil6(s265)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.01 tff(22110,plain,
% 14.29/10.01 (xuntil6(s264)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22109, 21981, 21980])).
% 14.29/10.01 tff(22111,plain,
% 14.29/10.01 (until5(s265)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20443, 22110])).
% 14.29/10.01 tff(22112,plain,
% 14.29/10.01 (node4(s265)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22097, 22111])).
% 14.29/10.01 tff(22113,plain,
% 14.29/10.01 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s265) | (~node4(s265)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s265) | (~node4(s265)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22114,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s265) | (~node4(s265)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22115,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s265) | (~node4(s265))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22114, 22113])).
% 14.29/10.01 tff(22116,plain,
% 14.29/10.01 (m_main_v_request(s265)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22115, 21, 22112])).
% 14.29/10.01 tff(22117,plain,
% 14.29/10.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s265, s266)) | node2(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s265, s266)) | node2(s265, s266))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22118,plain,
% 14.29/10.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s265, s266)) | node2(s265, s266))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22119,plain,
% 14.29/10.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s265, s266)) | node2(s265, s266)),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22118, 22117])).
% 14.29/10.01 tff(22120,plain,
% 14.29/10.01 (node2(s265, s266)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22119, 7, 20419])).
% 14.29/10.01 tff(22121,plain,
% 14.29/10.01 (((~![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(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22122,plain,
% 14.29/10.01 ((~![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(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22123,plain,
% 14.29/10.01 ((~![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(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22122, 22121])).
% 14.29/10.01 tff(22124,plain,
% 14.29/10.01 ((~m_main_v_state(s265, c_ready)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22123, 73, 22120])).
% 14.29/10.01 tff(22125,plain,
% 14.29/10.01 (~m_main_v_state(s265, c_ready)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22124, 22116, 21979])).
% 14.29/10.01 tff(22126,plain,
% 14.29/10.01 (~m_main_v_state(s265, c_busy)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22107, 85, 22101])).
% 14.29/10.01 tff(22127,plain,
% 14.29/10.01 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22128,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22129,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready)),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22128, 22127])).
% 14.29/10.01 tff(22130,plain,
% 14.29/10.01 ($false),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22129, 102, 22126, 22125])).
% 14.29/10.01 tff(22131,plain,((~until5(s262)) | m_main_v_state(s266, c_busy) | xuntil6(s265)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.01 tff(22132,plain,
% 14.29/10.01 (~until5(s262)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22131, 21978, 21976])).
% 14.29/10.01 tff(22133,plain,
% 14.29/10.01 (~xuntil6(s261)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20530, 22132])).
% 14.29/10.01 tff(22134,assumption,(node4(s261)), introduced(assumption)).
% 14.29/10.01 tff(22135,plain,
% 14.29/10.01 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s261) | (~node4(s261)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s261) | (~node4(s261)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22136,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s261) | (~node4(s261)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22137,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s261) | (~node4(s261))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22136, 22135])).
% 14.29/10.01 tff(22138,plain,
% 14.29/10.01 (m_main_v_request(s261)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22137, 21, 22134])).
% 14.29/10.01 tff(22139,plain,
% 14.29/10.01 (always3(s261)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20543, 36, 22134])).
% 14.29/10.01 tff(22140,plain,
% 14.29/10.01 (always3(s262)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20539, 22139])).
% 14.29/10.01 tff(22141,plain,
% 14.29/10.01 (~m_main_v_state(s262, c_busy)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22011, 85, 22140])).
% 14.29/10.01 tff(22142,plain,
% 14.29/10.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s261, s262)) | node2(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s261, s262)) | node2(s261, s262))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22143,plain,
% 14.29/10.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s261, s262)) | node2(s261, s262))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22144,plain,
% 14.29/10.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s261, s262)) | node2(s261, s262)),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22143, 22142])).
% 14.29/10.01 tff(22145,plain,
% 14.29/10.01 (node2(s261, s262)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22144, 7, 20535])).
% 14.29/10.01 tff(22146,plain,
% 14.29/10.01 (((~![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(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22147,plain,
% 14.29/10.01 ((~![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(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22148,plain,
% 14.29/10.01 ((~![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(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22147, 22146])).
% 14.29/10.01 tff(22149,plain,
% 14.29/10.01 ((~m_main_v_state(s261, c_ready)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22148, 73, 22145])).
% 14.29/10.01 tff(22150,plain,
% 14.29/10.01 (~m_main_v_state(s261, c_ready)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22149, 22141, 22138])).
% 14.29/10.01 tff(22151,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s261)) | (~m_main_v_state(s261, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s261)) | (~m_main_v_state(s261, c_busy)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22152,plain,
% 14.29/10.01 (((~m_main_v_state(s261, c_busy)) | (~always3(s261))) <=> ((~always3(s261)) | (~m_main_v_state(s261, c_busy)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22153,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s261, c_busy)) | (~always3(s261)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s261)) | (~m_main_v_state(s261, c_busy))))),
% 14.29/10.01 inference(monotonicity,[status(thm)],[22152])).
% 14.29/10.01 tff(22154,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s261, c_busy)) | (~always3(s261)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s261)) | (~m_main_v_state(s261, c_busy)))),
% 14.29/10.01 inference(transitivity,[status(thm)],[22153, 22151])).
% 14.29/10.01 tff(22155,plain,
% 14.29/10.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s261, c_busy)) | (~always3(s261)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22156,plain,
% 14.29/10.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s261)) | (~m_main_v_state(s261, c_busy))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22155, 22154])).
% 14.29/10.01 tff(22157,plain,
% 14.29/10.01 (~m_main_v_state(s261, c_busy)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22156, 85, 22139])).
% 14.29/10.01 tff(22158,plain,
% 14.29/10.01 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22159,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22160,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready)),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22159, 22158])).
% 14.29/10.01 tff(22161,plain,
% 14.29/10.01 ($false),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22160, 102, 22157, 22150])).
% 14.29/10.01 tff(22162,plain,(~node4(s261)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.01 tff(22163,plain,
% 14.29/10.01 (xuntil6(s261) | (~until5(s261))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20550, 294, 22162])).
% 14.29/10.01 tff(22164,plain,
% 14.29/10.01 (~until5(s261)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22163, 22133])).
% 14.29/10.01 tff(22165,plain,
% 14.29/10.01 (~xuntil6(s260)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20559, 22164])).
% 14.29/10.01 tff(22166,assumption,(~always3(s260)), introduced(assumption)).
% 14.29/10.01 tff(22167,plain,
% 14.29/10.01 (~always3(s259)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20597, 22166])).
% 14.29/10.01 tff(22168,plain,
% 14.29/10.01 (~node4(s259)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20601, 36, 22167])).
% 14.29/10.01 tff(22169,plain,
% 14.29/10.01 (~node4(s260)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20572, 36, 22166])).
% 14.29/10.01 tff(22170,assumption,(~xuntil6(s260)), introduced(assumption)).
% 14.29/10.01 tff(22171,plain,
% 14.29/10.01 (node4(s260) | (~until5(s260))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20579, 294, 22170])).
% 14.29/10.01 tff(22172,plain,
% 14.29/10.01 (~until5(s260)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22171, 22169])).
% 14.29/10.01 tff(22173,plain,
% 14.29/10.01 (~xuntil6(s259)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20588, 22172])).
% 14.29/10.01 tff(22174,plain,
% 14.29/10.01 (~until5(s259)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20608, 294, 22173, 22168])).
% 14.29/10.01 tff(22175,plain,
% 14.29/10.01 (~xuntil6(s258)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20617, 22174])).
% 14.29/10.01 tff(22176,plain,
% 14.29/10.01 (~always3(s258)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20626, 22167])).
% 14.29/10.01 tff(22177,plain,
% 14.29/10.01 (~node4(s258)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20630, 36, 22176])).
% 14.29/10.01 tff(22178,plain,
% 14.29/10.01 (xuntil6(s258) | (~until5(s258))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20637, 294, 22177])).
% 14.29/10.01 tff(22179,plain,
% 14.29/10.01 (~until5(s258)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22178, 22175])).
% 14.29/10.01 tff(22180,plain,
% 14.29/10.01 (~xuntil6(s257)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20646, 22179])).
% 14.29/10.01 tff(22181,plain,
% 14.29/10.01 (~always3(s257)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20655, 22176])).
% 14.29/10.01 tff(22182,plain,
% 14.29/10.01 (~node4(s257)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20659, 36, 22181])).
% 14.29/10.01 tff(22183,plain,
% 14.29/10.01 (xuntil6(s257) | (~until5(s257))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20666, 294, 22182])).
% 14.29/10.01 tff(22184,plain,
% 14.29/10.01 (~until5(s257)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22183, 22180])).
% 14.29/10.01 tff(22185,plain,
% 14.29/10.01 (~xuntil6(s256)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20672, 22184])).
% 14.29/10.01 tff(22186,plain,
% 14.29/10.01 (~always3(s256)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19912, 22181])).
% 14.29/10.01 tff(22187,plain,
% 14.29/10.01 (~node4(s256)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20677, 36, 22186])).
% 14.29/10.01 tff(22188,plain,
% 14.29/10.01 (xuntil6(s256) | (~until5(s256))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20684, 294, 22187])).
% 14.29/10.01 tff(22189,plain,
% 14.29/10.01 (~until5(s256)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22188, 22185])).
% 14.29/10.01 tff(22190,plain,
% 14.29/10.01 (~xuntil6(s255)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19898, 22189])).
% 14.29/10.01 tff(22191,plain,
% 14.29/10.01 (~always3(s255)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19863, 22186])).
% 14.29/10.01 tff(22192,plain,
% 14.29/10.01 (~node4(s255)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19687, 36, 22191])).
% 14.29/10.01 tff(22193,plain,
% 14.29/10.01 (xuntil6(s255) | (~until5(s255))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19694, 294, 22192])).
% 14.29/10.01 tff(22194,plain,
% 14.29/10.01 (~until5(s255)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22193, 22190])).
% 14.29/10.01 tff(22195,plain,
% 14.29/10.01 (~xuntil6(s254)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19678, 22194])).
% 14.29/10.01 tff(22196,plain,
% 14.29/10.01 (~always3(s254)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19643, 22191])).
% 14.29/10.01 tff(22197,plain,
% 14.29/10.01 (~node4(s254)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19631, 36, 22196])).
% 14.29/10.01 tff(22198,plain,
% 14.29/10.01 (xuntil6(s254) | (~until5(s254))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19672, 294, 22197])).
% 14.29/10.01 tff(22199,plain,
% 14.29/10.01 (~until5(s254)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22198, 22195])).
% 14.29/10.01 tff(22200,plain,
% 14.29/10.01 (~xuntil6(s253)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19622, 22199])).
% 14.29/10.01 tff(22201,plain,
% 14.29/10.01 (~always3(s253)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18295, 22196])).
% 14.29/10.01 tff(22202,plain,
% 14.29/10.01 (~node4(s253)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17239, 36, 22201])).
% 14.29/10.01 tff(22203,plain,
% 14.29/10.01 (xuntil6(s253) | (~until5(s253))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17246, 294, 22202])).
% 14.29/10.01 tff(22204,plain,
% 14.29/10.01 (~until5(s253)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22203, 22200])).
% 14.29/10.01 tff(22205,plain,
% 14.29/10.01 (~xuntil6(s252)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17252, 22204])).
% 14.29/10.01 tff(22206,plain,
% 14.29/10.01 (~always3(s252)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17219, 22201])).
% 14.29/10.01 tff(22207,plain,
% 14.29/10.01 (~node4(s252)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17261, 36, 22206])).
% 14.29/10.01 tff(22208,plain,
% 14.29/10.01 (xuntil6(s252) | (~until5(s252))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17297, 294, 22207])).
% 14.29/10.01 tff(22209,plain,
% 14.29/10.01 (~until5(s252)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22208, 22205])).
% 14.29/10.01 tff(22210,plain,
% 14.29/10.01 (~xuntil6(s251)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17303, 22209])).
% 14.29/10.01 tff(22211,plain,
% 14.29/10.01 (~always3(s251)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17231, 22206])).
% 14.29/10.01 tff(22212,plain,
% 14.29/10.01 (~node4(s251)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17235, 36, 22211])).
% 14.29/10.01 tff(22213,plain,
% 14.29/10.01 (xuntil6(s251) | (~until5(s251))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17310, 294, 22212])).
% 14.29/10.01 tff(22214,plain,
% 14.29/10.01 (~until5(s251)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22213, 22210])).
% 14.29/10.01 tff(22215,plain,
% 14.29/10.01 (~xuntil6(s250)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17318, 22214])).
% 14.29/10.01 tff(22216,plain,
% 14.29/10.01 (~always3(s250)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17336, 22211])).
% 14.29/10.01 tff(22217,plain,
% 14.29/10.01 (~node4(s250)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17327, 36, 22216])).
% 14.29/10.01 tff(22218,plain,
% 14.29/10.01 (xuntil6(s250) | (~until5(s250))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17371, 294, 22217])).
% 14.29/10.01 tff(22219,plain,
% 14.29/10.01 (~until5(s250)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22218, 22215])).
% 14.29/10.01 tff(22220,plain,
% 14.29/10.01 (~xuntil6(s249)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17380, 22219])).
% 14.29/10.01 tff(22221,plain,
% 14.29/10.01 (~always3(s249)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17390, 22216])).
% 14.29/10.01 tff(22222,plain,
% 14.29/10.01 (~node4(s249)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17394, 36, 22221])).
% 14.29/10.01 tff(22223,plain,
% 14.29/10.01 (xuntil6(s249) | (~until5(s249))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17401, 294, 22222])).
% 14.29/10.01 tff(22224,plain,
% 14.29/10.01 (~until5(s249)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22223, 22220])).
% 14.29/10.01 tff(22225,plain,
% 14.29/10.01 (~xuntil6(s248)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17410, 22224])).
% 14.29/10.01 tff(22226,plain,
% 14.29/10.01 (~always3(s248)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17419, 22221])).
% 14.29/10.01 tff(22227,plain,
% 14.29/10.01 (~node4(s248)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17423, 36, 22226])).
% 14.29/10.01 tff(22228,plain,
% 14.29/10.01 (xuntil6(s248) | (~until5(s248))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17430, 294, 22227])).
% 14.29/10.01 tff(22229,plain,
% 14.29/10.01 (~until5(s248)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22228, 22225])).
% 14.29/10.01 tff(22230,plain,
% 14.29/10.01 (~xuntil6(s247)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17439, 22229])).
% 14.29/10.01 tff(22231,plain,
% 14.29/10.01 (~always3(s247)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17448, 22226])).
% 14.29/10.01 tff(22232,plain,
% 14.29/10.01 (~node4(s247)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17452, 36, 22231])).
% 14.29/10.01 tff(22233,plain,
% 14.29/10.01 (xuntil6(s247) | (~until5(s247))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17459, 294, 22232])).
% 14.29/10.01 tff(22234,plain,
% 14.29/10.01 (~until5(s247)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22233, 22230])).
% 14.29/10.01 tff(22235,plain,
% 14.29/10.01 (~xuntil6(s246)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17468, 22234])).
% 14.29/10.01 tff(22236,plain,
% 14.29/10.01 (~always3(s246)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17477, 22231])).
% 14.29/10.01 tff(22237,plain,
% 14.29/10.01 (~node4(s246)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17481, 36, 22236])).
% 14.29/10.01 tff(22238,plain,
% 14.29/10.01 (xuntil6(s246) | (~until5(s246))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17488, 294, 22237])).
% 14.29/10.01 tff(22239,plain,
% 14.29/10.01 (~until5(s246)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22238, 22235])).
% 14.29/10.01 tff(22240,plain,
% 14.29/10.01 (~xuntil6(s245)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17497, 22239])).
% 14.29/10.01 tff(22241,plain,
% 14.29/10.01 (~always3(s245)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17506, 22236])).
% 14.29/10.01 tff(22242,plain,
% 14.29/10.01 (~node4(s245)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17510, 36, 22241])).
% 14.29/10.01 tff(22243,plain,
% 14.29/10.01 (xuntil6(s245) | (~until5(s245))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17517, 294, 22242])).
% 14.29/10.01 tff(22244,plain,
% 14.29/10.01 (~until5(s245)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22243, 22240])).
% 14.29/10.01 tff(22245,plain,
% 14.29/10.01 (~xuntil6(s244)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17526, 22244])).
% 14.29/10.01 tff(22246,plain,
% 14.29/10.01 (~always3(s244)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17535, 22241])).
% 14.29/10.01 tff(22247,plain,
% 14.29/10.01 (~node4(s244)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17539, 36, 22246])).
% 14.29/10.01 tff(22248,plain,
% 14.29/10.01 (xuntil6(s244) | (~until5(s244))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17546, 294, 22247])).
% 14.29/10.01 tff(22249,plain,
% 14.29/10.01 (~until5(s244)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22248, 22245])).
% 14.29/10.01 tff(22250,plain,
% 14.29/10.01 (~xuntil6(s243)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17555, 22249])).
% 14.29/10.01 tff(22251,plain,
% 14.29/10.01 (~always3(s243)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17564, 22246])).
% 14.29/10.01 tff(22252,plain,
% 14.29/10.01 (~node4(s243)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17568, 36, 22251])).
% 14.29/10.01 tff(22253,plain,
% 14.29/10.01 (xuntil6(s243) | (~until5(s243))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17575, 294, 22252])).
% 14.29/10.01 tff(22254,plain,
% 14.29/10.01 (~until5(s243)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22253, 22250])).
% 14.29/10.01 tff(22255,plain,
% 14.29/10.01 (~xuntil6(s242)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17584, 22254])).
% 14.29/10.01 tff(22256,plain,
% 14.29/10.01 (~always3(s242)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17593, 22251])).
% 14.29/10.01 tff(22257,plain,
% 14.29/10.01 (~node4(s242)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17597, 36, 22256])).
% 14.29/10.01 tff(22258,plain,
% 14.29/10.01 (xuntil6(s242) | (~until5(s242))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17604, 294, 22257])).
% 14.29/10.01 tff(22259,plain,
% 14.29/10.01 (~until5(s242)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22258, 22255])).
% 14.29/10.01 tff(22260,plain,
% 14.29/10.01 (~xuntil6(s241)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17613, 22259])).
% 14.29/10.01 tff(22261,plain,
% 14.29/10.01 (~always3(s241)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17622, 22256])).
% 14.29/10.01 tff(22262,plain,
% 14.29/10.01 (~node4(s241)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17626, 36, 22261])).
% 14.29/10.01 tff(22263,plain,
% 14.29/10.01 (xuntil6(s241) | (~until5(s241))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17633, 294, 22262])).
% 14.29/10.01 tff(22264,plain,
% 14.29/10.01 (~until5(s241)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22263, 22260])).
% 14.29/10.01 tff(22265,plain,
% 14.29/10.01 (~always3(s240)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17651, 22261])).
% 14.29/10.01 tff(22266,plain,
% 14.29/10.01 (~always3(s239)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17689, 22265])).
% 14.29/10.01 tff(22267,plain,
% 14.29/10.01 (~always3(s238)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17743, 22266])).
% 14.29/10.01 tff(22268,plain,
% 14.29/10.01 (~always3(s237)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17772, 22267])).
% 14.29/10.01 tff(22269,plain,
% 14.29/10.01 (~always3(s236)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17796, 22268])).
% 14.29/10.01 tff(22270,plain,
% 14.29/10.01 (~always3(s235)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17808, 22269])).
% 14.29/10.01 tff(22271,plain,
% 14.29/10.01 (~always3(s234)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17820, 22270])).
% 14.29/10.01 tff(22272,plain,
% 14.29/10.01 (~always3(s233)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17832, 22271])).
% 14.29/10.01 tff(22273,plain,
% 14.29/10.01 (~always3(s232)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17844, 22272])).
% 14.29/10.01 tff(22274,plain,
% 14.29/10.01 (~always3(s231)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17856, 22273])).
% 14.29/10.01 tff(22275,plain,
% 14.29/10.01 (~always3(s230)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17868, 22274])).
% 14.29/10.01 tff(22276,plain,
% 14.29/10.01 (~always3(s229)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17880, 22275])).
% 14.29/10.01 tff(22277,plain,
% 14.29/10.01 (~always3(s228)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17892, 22276])).
% 14.29/10.01 tff(22278,plain,
% 14.29/10.01 (~always3(s227)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17904, 22277])).
% 14.29/10.01 tff(22279,plain,
% 14.29/10.01 (~always3(s226)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17916, 22278])).
% 14.29/10.01 tff(22280,plain,
% 14.29/10.01 (~always3(s225)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17928, 22279])).
% 14.29/10.01 tff(22281,plain,
% 14.29/10.01 (~always3(s224)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17940, 22280])).
% 14.29/10.01 tff(22282,plain,
% 14.29/10.01 (~always3(s223)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17952, 22281])).
% 14.29/10.01 tff(22283,plain,
% 14.29/10.01 (~always3(s222)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17964, 22282])).
% 14.29/10.01 tff(22284,plain,
% 14.29/10.01 (~node4(s222)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17968, 36, 22283])).
% 14.29/10.01 tff(22285,plain,
% 14.29/10.01 (~always3(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17980, 22283])).
% 14.29/10.01 tff(22286,plain,
% 14.29/10.01 (~node4(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17984, 36, 22285])).
% 14.29/10.01 tff(22287,plain,
% 14.29/10.01 (~always3(s220)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[15896, 22285])).
% 14.29/10.01 tff(22288,plain,
% 14.29/10.01 (xuntil6(s220)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[15877, 22287, 14862])).
% 14.29/10.01 tff(22289,plain,
% 14.29/10.01 (until5(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17204, 22288])).
% 14.29/10.01 tff(22290,plain,
% 14.29/10.01 (xuntil6(s221) | node4(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17991, 294, 22289])).
% 14.29/10.01 tff(22291,plain,
% 14.29/10.01 (xuntil6(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22290, 22286])).
% 14.29/10.01 tff(22292,plain,
% 14.29/10.01 (until5(s222)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17997, 22291])).
% 14.29/10.01 tff(22293,plain,
% 14.29/10.01 (xuntil6(s222)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18004, 294, 22292, 22284])).
% 14.29/10.01 tff(22294,plain,
% 14.29/10.01 (until5(s223)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18009, 22293])).
% 14.29/10.01 tff(22295,plain,
% 14.29/10.01 (~node4(s223)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18013, 36, 22282])).
% 14.29/10.01 tff(22296,plain,
% 14.29/10.01 (xuntil6(s223) | (~until5(s223))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18020, 294, 22295])).
% 14.29/10.01 tff(22297,plain,
% 14.29/10.01 (xuntil6(s223)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22296, 22294])).
% 14.29/10.01 tff(22298,plain,
% 14.29/10.01 (until5(s224)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18026, 22297])).
% 14.29/10.01 tff(22299,plain,
% 14.29/10.01 (~node4(s224)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18030, 36, 22281])).
% 14.29/10.01 tff(22300,plain,
% 14.29/10.01 (xuntil6(s224) | (~until5(s224))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18037, 294, 22299])).
% 14.29/10.01 tff(22301,plain,
% 14.29/10.01 (xuntil6(s224)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22300, 22298])).
% 14.29/10.01 tff(22302,plain,
% 14.29/10.01 (until5(s225)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18043, 22301])).
% 14.29/10.01 tff(22303,plain,
% 14.29/10.01 (~node4(s225)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18047, 36, 22280])).
% 14.29/10.01 tff(22304,plain,
% 14.29/10.01 (xuntil6(s225) | (~until5(s225))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18054, 294, 22303])).
% 14.29/10.01 tff(22305,plain,
% 14.29/10.01 (xuntil6(s225)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22304, 22302])).
% 14.29/10.01 tff(22306,plain,
% 14.29/10.01 (until5(s226)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18060, 22305])).
% 14.29/10.01 tff(22307,plain,
% 14.29/10.01 (~node4(s226)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18064, 36, 22279])).
% 14.29/10.01 tff(22308,plain,
% 14.29/10.01 (xuntil6(s226) | (~until5(s226))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18071, 294, 22307])).
% 14.29/10.01 tff(22309,plain,
% 14.29/10.01 (xuntil6(s226)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22308, 22306])).
% 14.29/10.01 tff(22310,plain,
% 14.29/10.01 (until5(s227)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18077, 22309])).
% 14.29/10.01 tff(22311,plain,
% 14.29/10.01 (~node4(s227)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18081, 36, 22278])).
% 14.29/10.01 tff(22312,plain,
% 14.29/10.01 (xuntil6(s227) | (~until5(s227))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18088, 294, 22311])).
% 14.29/10.01 tff(22313,plain,
% 14.29/10.01 (xuntil6(s227)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22312, 22310])).
% 14.29/10.01 tff(22314,plain,
% 14.29/10.01 (until5(s228)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18094, 22313])).
% 14.29/10.01 tff(22315,plain,
% 14.29/10.01 (~node4(s228)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18098, 36, 22277])).
% 14.29/10.01 tff(22316,plain,
% 14.29/10.01 (xuntil6(s228) | (~until5(s228))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18105, 294, 22315])).
% 14.29/10.01 tff(22317,plain,
% 14.29/10.01 (xuntil6(s228)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22316, 22314])).
% 14.29/10.01 tff(22318,plain,
% 14.29/10.01 (until5(s229)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18111, 22317])).
% 14.29/10.01 tff(22319,plain,
% 14.29/10.01 (~node4(s229)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18115, 36, 22276])).
% 14.29/10.01 tff(22320,plain,
% 14.29/10.01 (xuntil6(s229) | (~until5(s229))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18122, 294, 22319])).
% 14.29/10.01 tff(22321,plain,
% 14.29/10.01 (xuntil6(s229)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22320, 22318])).
% 14.29/10.01 tff(22322,plain,
% 14.29/10.01 (until5(s230)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18128, 22321])).
% 14.29/10.01 tff(22323,plain,
% 14.29/10.01 (~node4(s230)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18132, 36, 22275])).
% 14.29/10.01 tff(22324,plain,
% 14.29/10.01 (xuntil6(s230) | (~until5(s230))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18139, 294, 22323])).
% 14.29/10.01 tff(22325,plain,
% 14.29/10.01 (xuntil6(s230)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22324, 22322])).
% 14.29/10.01 tff(22326,plain,
% 14.29/10.01 (until5(s231)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18145, 22325])).
% 14.29/10.01 tff(22327,plain,
% 14.29/10.01 (~node4(s231)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18149, 36, 22274])).
% 14.29/10.01 tff(22328,plain,
% 14.29/10.01 (xuntil6(s231) | (~until5(s231))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18156, 294, 22327])).
% 14.29/10.01 tff(22329,plain,
% 14.29/10.01 (xuntil6(s231)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22328, 22326])).
% 14.29/10.01 tff(22330,plain,
% 14.29/10.01 (until5(s232)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18162, 22329])).
% 14.29/10.01 tff(22331,plain,
% 14.29/10.01 (~node4(s232)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18166, 36, 22273])).
% 14.29/10.01 tff(22332,plain,
% 14.29/10.01 (xuntil6(s232) | (~until5(s232))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18173, 294, 22331])).
% 14.29/10.01 tff(22333,plain,
% 14.29/10.01 (xuntil6(s232)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22332, 22330])).
% 14.29/10.01 tff(22334,plain,
% 14.29/10.01 (until5(s233)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18179, 22333])).
% 14.29/10.01 tff(22335,plain,
% 14.29/10.01 (~node4(s233)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18183, 36, 22272])).
% 14.29/10.01 tff(22336,plain,
% 14.29/10.01 (xuntil6(s233) | (~until5(s233))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18190, 294, 22335])).
% 14.29/10.01 tff(22337,plain,
% 14.29/10.01 (xuntil6(s233)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22336, 22334])).
% 14.29/10.01 tff(22338,plain,
% 14.29/10.01 (until5(s234)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18196, 22337])).
% 14.29/10.01 tff(22339,plain,
% 14.29/10.01 (~node4(s234)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18200, 36, 22271])).
% 14.29/10.01 tff(22340,plain,
% 14.29/10.01 (xuntil6(s234) | (~until5(s234))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18207, 294, 22339])).
% 14.29/10.01 tff(22341,plain,
% 14.29/10.01 (xuntil6(s234)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22340, 22338])).
% 14.29/10.01 tff(22342,plain,
% 14.29/10.01 (until5(s235)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18213, 22341])).
% 14.29/10.01 tff(22343,plain,
% 14.29/10.01 (~node4(s235)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18217, 36, 22270])).
% 14.29/10.01 tff(22344,plain,
% 14.29/10.01 (xuntil6(s235) | (~until5(s235))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18224, 294, 22343])).
% 14.29/10.01 tff(22345,plain,
% 14.29/10.01 (xuntil6(s235)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22344, 22342])).
% 14.29/10.01 tff(22346,plain,
% 14.29/10.01 (until5(s236)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18230, 22345])).
% 14.29/10.01 tff(22347,plain,
% 14.29/10.01 (xuntil6(s236)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18276, 22346])).
% 14.29/10.01 tff(22348,plain,
% 14.29/10.01 (until5(s237)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18281, 22347])).
% 14.29/10.01 tff(22349,plain,
% 14.29/10.01 (~node4(s237)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17776, 36, 22268])).
% 14.29/10.01 tff(22350,plain,
% 14.29/10.01 (xuntil6(s237) | (~until5(s237))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17783, 294, 22349])).
% 14.29/10.01 tff(22351,plain,
% 14.29/10.01 (xuntil6(s237)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22350, 22348])).
% 14.29/10.01 tff(22352,plain,
% 14.29/10.01 (until5(s238)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17763, 22351])).
% 14.29/10.01 tff(22353,plain,
% 14.29/10.01 (~node4(s238)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17747, 36, 22267])).
% 14.29/10.01 tff(22354,plain,
% 14.29/10.01 (xuntil6(s238) | (~until5(s238))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17754, 294, 22353])).
% 14.29/10.01 tff(22355,plain,
% 14.29/10.01 (xuntil6(s238)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22354, 22352])).
% 14.29/10.01 tff(22356,plain,
% 14.29/10.01 (until5(s239)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17733, 22355])).
% 14.29/10.01 tff(22357,plain,
% 14.29/10.01 (~node4(s239)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17680, 36, 22266])).
% 14.29/10.01 tff(22358,plain,
% 14.29/10.01 (xuntil6(s239) | (~until5(s239))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17724, 294, 22357])).
% 14.29/10.01 tff(22359,plain,
% 14.29/10.01 (xuntil6(s239)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22358, 22356])).
% 14.29/10.01 tff(22360,plain,
% 14.29/10.01 (until5(s240)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17671, 22359])).
% 14.29/10.01 tff(22361,plain,
% 14.29/10.01 (~node4(s240)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17655, 36, 22265])).
% 14.29/10.01 tff(22362,plain,
% 14.29/10.01 (xuntil6(s240) | (~until5(s240))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17662, 294, 22361])).
% 14.29/10.01 tff(22363,plain,
% 14.29/10.01 (xuntil6(s240)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22362, 22360])).
% 14.29/10.01 tff(22364,plain,
% 14.29/10.01 ($false),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17642, 22363, 22264])).
% 14.29/10.01 tff(22365,plain,(always3(s260) | xuntil6(s260) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.01 tff(22366,plain,
% 14.29/10.01 (always3(s260)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22365, 22165, 19988])).
% 14.29/10.01 tff(22367,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s260)) | (~m_main_v_state(s260, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s260)) | (~m_main_v_state(s260, c_busy)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22368,plain,
% 14.29/10.01 (((~m_main_v_state(s260, c_busy)) | (~always3(s260))) <=> ((~always3(s260)) | (~m_main_v_state(s260, c_busy)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22369,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s260, c_busy)) | (~always3(s260)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s260)) | (~m_main_v_state(s260, c_busy))))),
% 14.29/10.01 inference(monotonicity,[status(thm)],[22368])).
% 14.29/10.01 tff(22370,plain,
% 14.29/10.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s260, c_busy)) | (~always3(s260)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s260)) | (~m_main_v_state(s260, c_busy)))),
% 14.29/10.01 inference(transitivity,[status(thm)],[22369, 22367])).
% 14.29/10.01 tff(22371,plain,
% 14.29/10.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s260, c_busy)) | (~always3(s260)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22372,plain,
% 14.29/10.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s260)) | (~m_main_v_state(s260, c_busy))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22371, 22370])).
% 14.29/10.01 tff(22373,plain,
% 14.29/10.01 (~m_main_v_state(s260, c_busy)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22372, 85, 22366])).
% 14.29/10.01 tff(22374,plain,
% 14.29/10.01 (always3(s261)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20568, 22366])).
% 14.29/10.01 tff(22375,plain,
% 14.29/10.01 (~m_main_v_state(s261, c_busy)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22156, 85, 22374])).
% 14.29/10.01 tff(22376,plain,
% 14.29/10.01 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22377,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22378,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready)),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22377, 22376])).
% 14.29/10.01 tff(22379,plain,
% 14.29/10.01 (m_main_v_state(s260, c_ready)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22378, 102, 22373])).
% 14.29/10.01 tff(22380,plain,
% 14.29/10.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s260, s261)) | node2(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s260, s261)) | node2(s260, s261))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22381,plain,
% 14.29/10.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s260, s261)) | node2(s260, s261))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22382,plain,
% 14.29/10.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s260, s261)) | node2(s260, s261)),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22381, 22380])).
% 14.29/10.01 tff(22383,plain,
% 14.29/10.01 (node2(s260, s261)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22382, 7, 20564])).
% 14.29/10.01 tff(22384,plain,
% 14.29/10.01 (((~![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(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22385,plain,
% 14.29/10.01 ((~![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(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22386,plain,
% 14.29/10.01 ((~![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(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22385, 22384])).
% 14.29/10.01 tff(22387,plain,
% 14.29/10.01 ((~m_main_v_state(s260, c_ready)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22386, 73, 22383])).
% 14.29/10.01 tff(22388,plain,
% 14.29/10.01 (~m_main_v_request(s260)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22387, 22379, 22375])).
% 14.29/10.01 tff(22389,plain,
% 14.29/10.01 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s260) | (~node4(s260)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s260) | (~node4(s260)))),
% 14.29/10.01 inference(rewrite,[status(thm)],[])).
% 14.29/10.01 tff(22390,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s260) | (~node4(s260)))),
% 14.29/10.01 inference(quant_inst,[status(thm)],[])).
% 14.29/10.01 tff(22391,plain,
% 14.29/10.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s260) | (~node4(s260))),
% 14.29/10.01 inference(modus_ponens,[status(thm)],[22390, 22389])).
% 14.29/10.01 tff(22392,plain,
% 14.29/10.01 (~node4(s260)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22391, 21, 22388])).
% 14.29/10.01 tff(22393,plain,
% 14.29/10.01 (node4(s260) | (~until5(s260))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20579, 294, 22165])).
% 14.29/10.01 tff(22394,plain,
% 14.29/10.01 (~until5(s260)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22393, 22392])).
% 14.29/10.01 tff(22395,plain,
% 14.29/10.01 (~xuntil6(s259)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[20588, 22394])).
% 14.29/10.01 tff(22396,plain,
% 14.29/10.01 (~node4(s222)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17968, 36, 19947])).
% 14.29/10.01 tff(22397,plain,
% 14.29/10.01 (~node4(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17984, 36, 19948])).
% 14.29/10.01 tff(22398,plain,
% 14.29/10.01 (xuntil6(s220)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[15877, 19988, 19949])).
% 14.29/10.01 tff(22399,plain,
% 14.29/10.01 (until5(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17204, 22398])).
% 14.29/10.01 tff(22400,plain,
% 14.29/10.01 (xuntil6(s221) | node4(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17991, 294, 22399])).
% 14.29/10.01 tff(22401,plain,
% 14.29/10.01 (xuntil6(s221)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22400, 22397])).
% 14.29/10.01 tff(22402,plain,
% 14.29/10.01 (until5(s222)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17997, 22401])).
% 14.29/10.01 tff(22403,plain,
% 14.29/10.01 (xuntil6(s222)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18004, 294, 22402, 22396])).
% 14.29/10.01 tff(22404,plain,
% 14.29/10.01 (until5(s223)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18009, 22403])).
% 14.29/10.01 tff(22405,plain,
% 14.29/10.01 (~node4(s223)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18013, 36, 19946])).
% 14.29/10.01 tff(22406,plain,
% 14.29/10.01 (xuntil6(s223) | (~until5(s223))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18020, 294, 22405])).
% 14.29/10.01 tff(22407,plain,
% 14.29/10.01 (xuntil6(s223)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22406, 22404])).
% 14.29/10.01 tff(22408,plain,
% 14.29/10.01 (until5(s224)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18026, 22407])).
% 14.29/10.01 tff(22409,plain,
% 14.29/10.01 (~node4(s224)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18030, 36, 19945])).
% 14.29/10.01 tff(22410,plain,
% 14.29/10.01 (xuntil6(s224) | (~until5(s224))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18037, 294, 22409])).
% 14.29/10.01 tff(22411,plain,
% 14.29/10.01 (xuntil6(s224)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22410, 22408])).
% 14.29/10.01 tff(22412,plain,
% 14.29/10.01 (until5(s225)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18043, 22411])).
% 14.29/10.01 tff(22413,plain,
% 14.29/10.01 (~node4(s225)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18047, 36, 19944])).
% 14.29/10.01 tff(22414,plain,
% 14.29/10.01 (xuntil6(s225) | (~until5(s225))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18054, 294, 22413])).
% 14.29/10.01 tff(22415,plain,
% 14.29/10.01 (xuntil6(s225)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22414, 22412])).
% 14.29/10.01 tff(22416,plain,
% 14.29/10.01 (until5(s226)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18060, 22415])).
% 14.29/10.01 tff(22417,plain,
% 14.29/10.01 (~node4(s226)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18064, 36, 19943])).
% 14.29/10.01 tff(22418,plain,
% 14.29/10.01 (xuntil6(s226) | (~until5(s226))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18071, 294, 22417])).
% 14.29/10.01 tff(22419,plain,
% 14.29/10.01 (xuntil6(s226)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22418, 22416])).
% 14.29/10.01 tff(22420,plain,
% 14.29/10.01 (until5(s227)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18077, 22419])).
% 14.29/10.01 tff(22421,plain,
% 14.29/10.01 (~node4(s227)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18081, 36, 19942])).
% 14.29/10.01 tff(22422,plain,
% 14.29/10.01 (xuntil6(s227) | (~until5(s227))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18088, 294, 22421])).
% 14.29/10.01 tff(22423,plain,
% 14.29/10.01 (xuntil6(s227)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22422, 22420])).
% 14.29/10.01 tff(22424,plain,
% 14.29/10.01 (until5(s228)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18094, 22423])).
% 14.29/10.01 tff(22425,plain,
% 14.29/10.01 (~node4(s228)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18098, 36, 19941])).
% 14.29/10.01 tff(22426,plain,
% 14.29/10.01 (xuntil6(s228) | (~until5(s228))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18105, 294, 22425])).
% 14.29/10.01 tff(22427,plain,
% 14.29/10.01 (xuntil6(s228)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22426, 22424])).
% 14.29/10.01 tff(22428,plain,
% 14.29/10.01 (until5(s229)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18111, 22427])).
% 14.29/10.01 tff(22429,plain,
% 14.29/10.01 (~node4(s229)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18115, 36, 19940])).
% 14.29/10.01 tff(22430,plain,
% 14.29/10.01 (xuntil6(s229) | (~until5(s229))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18122, 294, 22429])).
% 14.29/10.01 tff(22431,plain,
% 14.29/10.01 (xuntil6(s229)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22430, 22428])).
% 14.29/10.01 tff(22432,plain,
% 14.29/10.01 (until5(s230)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18128, 22431])).
% 14.29/10.01 tff(22433,plain,
% 14.29/10.01 (~node4(s230)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18132, 36, 19939])).
% 14.29/10.01 tff(22434,plain,
% 14.29/10.01 (xuntil6(s230) | (~until5(s230))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18139, 294, 22433])).
% 14.29/10.01 tff(22435,plain,
% 14.29/10.01 (xuntil6(s230)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22434, 22432])).
% 14.29/10.01 tff(22436,plain,
% 14.29/10.01 (until5(s231)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18145, 22435])).
% 14.29/10.01 tff(22437,plain,
% 14.29/10.01 (~node4(s231)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18149, 36, 19938])).
% 14.29/10.01 tff(22438,plain,
% 14.29/10.01 (xuntil6(s231) | (~until5(s231))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18156, 294, 22437])).
% 14.29/10.01 tff(22439,plain,
% 14.29/10.01 (xuntil6(s231)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22438, 22436])).
% 14.29/10.01 tff(22440,plain,
% 14.29/10.01 (until5(s232)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18162, 22439])).
% 14.29/10.01 tff(22441,plain,
% 14.29/10.01 (~node4(s232)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18166, 36, 19937])).
% 14.29/10.01 tff(22442,plain,
% 14.29/10.01 (xuntil6(s232) | (~until5(s232))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18173, 294, 22441])).
% 14.29/10.01 tff(22443,plain,
% 14.29/10.01 (xuntil6(s232)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22442, 22440])).
% 14.29/10.01 tff(22444,plain,
% 14.29/10.01 (until5(s233)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18179, 22443])).
% 14.29/10.01 tff(22445,plain,
% 14.29/10.01 (~node4(s233)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18183, 36, 19936])).
% 14.29/10.01 tff(22446,plain,
% 14.29/10.01 (xuntil6(s233) | (~until5(s233))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18190, 294, 22445])).
% 14.29/10.01 tff(22447,plain,
% 14.29/10.01 (xuntil6(s233)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22446, 22444])).
% 14.29/10.01 tff(22448,plain,
% 14.29/10.01 (until5(s234)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18196, 22447])).
% 14.29/10.01 tff(22449,plain,
% 14.29/10.01 (~node4(s234)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18200, 36, 19935])).
% 14.29/10.01 tff(22450,plain,
% 14.29/10.01 (xuntil6(s234) | (~until5(s234))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18207, 294, 22449])).
% 14.29/10.01 tff(22451,plain,
% 14.29/10.01 (xuntil6(s234)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22450, 22448])).
% 14.29/10.01 tff(22452,plain,
% 14.29/10.01 (until5(s235)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18213, 22451])).
% 14.29/10.01 tff(22453,plain,
% 14.29/10.01 (~node4(s235)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18217, 36, 19934])).
% 14.29/10.01 tff(22454,plain,
% 14.29/10.01 (xuntil6(s235) | (~until5(s235))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18224, 294, 22453])).
% 14.29/10.01 tff(22455,plain,
% 14.29/10.01 (xuntil6(s235)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22454, 22452])).
% 14.29/10.01 tff(22456,plain,
% 14.29/10.01 (until5(s236)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18230, 22455])).
% 14.29/10.01 tff(22457,plain,
% 14.29/10.01 (xuntil6(s236)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18276, 22456])).
% 14.29/10.01 tff(22458,plain,
% 14.29/10.01 (until5(s237)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[18281, 22457])).
% 14.29/10.01 tff(22459,plain,
% 14.29/10.01 (~node4(s237)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17776, 36, 19932])).
% 14.29/10.01 tff(22460,plain,
% 14.29/10.01 (xuntil6(s237) | (~until5(s237))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17783, 294, 22459])).
% 14.29/10.01 tff(22461,plain,
% 14.29/10.01 (xuntil6(s237)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22460, 22458])).
% 14.29/10.01 tff(22462,plain,
% 14.29/10.01 (until5(s238)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17763, 22461])).
% 14.29/10.01 tff(22463,plain,
% 14.29/10.01 (~node4(s238)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17747, 36, 19931])).
% 14.29/10.01 tff(22464,plain,
% 14.29/10.01 (xuntil6(s238) | (~until5(s238))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17754, 294, 22463])).
% 14.29/10.01 tff(22465,plain,
% 14.29/10.01 (xuntil6(s238)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22464, 22462])).
% 14.29/10.01 tff(22466,plain,
% 14.29/10.01 (until5(s239)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17733, 22465])).
% 14.29/10.01 tff(22467,plain,
% 14.29/10.01 (~node4(s239)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17680, 36, 19930])).
% 14.29/10.01 tff(22468,plain,
% 14.29/10.01 (xuntil6(s239) | (~until5(s239))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17724, 294, 22467])).
% 14.29/10.01 tff(22469,plain,
% 14.29/10.01 (xuntil6(s239)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22468, 22466])).
% 14.29/10.01 tff(22470,plain,
% 14.29/10.01 (until5(s240)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17671, 22469])).
% 14.29/10.01 tff(22471,plain,
% 14.29/10.01 (~node4(s240)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17655, 36, 19929])).
% 14.29/10.01 tff(22472,plain,
% 14.29/10.01 (xuntil6(s240) | (~until5(s240))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17662, 294, 22471])).
% 14.29/10.01 tff(22473,plain,
% 14.29/10.01 (xuntil6(s240)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22472, 22470])).
% 14.29/10.01 tff(22474,plain,
% 14.29/10.01 (until5(s241)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17642, 22473])).
% 14.29/10.01 tff(22475,plain,
% 14.29/10.01 (~node4(s241)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17626, 36, 19928])).
% 14.29/10.01 tff(22476,plain,
% 14.29/10.01 (xuntil6(s241) | (~until5(s241))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17633, 294, 22475])).
% 14.29/10.01 tff(22477,plain,
% 14.29/10.01 (xuntil6(s241)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22476, 22474])).
% 14.29/10.01 tff(22478,plain,
% 14.29/10.01 (until5(s242)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17613, 22477])).
% 14.29/10.01 tff(22479,plain,
% 14.29/10.01 (~node4(s242)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17597, 36, 19927])).
% 14.29/10.01 tff(22480,plain,
% 14.29/10.01 (xuntil6(s242) | (~until5(s242))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17604, 294, 22479])).
% 14.29/10.01 tff(22481,plain,
% 14.29/10.01 (xuntil6(s242)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22480, 22478])).
% 14.29/10.01 tff(22482,plain,
% 14.29/10.01 (until5(s243)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17584, 22481])).
% 14.29/10.01 tff(22483,plain,
% 14.29/10.01 (~node4(s243)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17568, 36, 19926])).
% 14.29/10.01 tff(22484,plain,
% 14.29/10.01 (xuntil6(s243) | (~until5(s243))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17575, 294, 22483])).
% 14.29/10.01 tff(22485,plain,
% 14.29/10.01 (xuntil6(s243)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22484, 22482])).
% 14.29/10.01 tff(22486,plain,
% 14.29/10.01 (until5(s244)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17555, 22485])).
% 14.29/10.01 tff(22487,plain,
% 14.29/10.01 (~node4(s244)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17539, 36, 19925])).
% 14.29/10.01 tff(22488,plain,
% 14.29/10.01 (xuntil6(s244) | (~until5(s244))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17546, 294, 22487])).
% 14.29/10.01 tff(22489,plain,
% 14.29/10.01 (xuntil6(s244)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22488, 22486])).
% 14.29/10.01 tff(22490,plain,
% 14.29/10.01 (until5(s245)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17526, 22489])).
% 14.29/10.01 tff(22491,plain,
% 14.29/10.01 (~node4(s245)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17510, 36, 19924])).
% 14.29/10.01 tff(22492,plain,
% 14.29/10.01 (xuntil6(s245) | (~until5(s245))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17517, 294, 22491])).
% 14.29/10.01 tff(22493,plain,
% 14.29/10.01 (xuntil6(s245)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22492, 22490])).
% 14.29/10.01 tff(22494,plain,
% 14.29/10.01 (until5(s246)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17497, 22493])).
% 14.29/10.01 tff(22495,plain,
% 14.29/10.01 (~node4(s246)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17481, 36, 19923])).
% 14.29/10.01 tff(22496,plain,
% 14.29/10.01 (xuntil6(s246) | (~until5(s246))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17488, 294, 22495])).
% 14.29/10.01 tff(22497,plain,
% 14.29/10.01 (xuntil6(s246)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22496, 22494])).
% 14.29/10.01 tff(22498,plain,
% 14.29/10.01 (until5(s247)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17468, 22497])).
% 14.29/10.01 tff(22499,plain,
% 14.29/10.01 (~node4(s247)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17452, 36, 19922])).
% 14.29/10.01 tff(22500,plain,
% 14.29/10.01 (xuntil6(s247) | (~until5(s247))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17459, 294, 22499])).
% 14.29/10.01 tff(22501,plain,
% 14.29/10.01 (xuntil6(s247)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22500, 22498])).
% 14.29/10.01 tff(22502,plain,
% 14.29/10.01 (until5(s248)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17439, 22501])).
% 14.29/10.01 tff(22503,plain,
% 14.29/10.01 (~node4(s248)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17423, 36, 19921])).
% 14.29/10.01 tff(22504,plain,
% 14.29/10.01 (xuntil6(s248) | (~until5(s248))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17430, 294, 22503])).
% 14.29/10.01 tff(22505,plain,
% 14.29/10.01 (xuntil6(s248)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22504, 22502])).
% 14.29/10.01 tff(22506,plain,
% 14.29/10.01 (until5(s249)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17410, 22505])).
% 14.29/10.01 tff(22507,plain,
% 14.29/10.01 (~node4(s249)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17394, 36, 19920])).
% 14.29/10.01 tff(22508,plain,
% 14.29/10.01 (xuntil6(s249) | (~until5(s249))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17401, 294, 22507])).
% 14.29/10.01 tff(22509,plain,
% 14.29/10.01 (xuntil6(s249)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22508, 22506])).
% 14.29/10.01 tff(22510,plain,
% 14.29/10.01 (until5(s250)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17380, 22509])).
% 14.29/10.01 tff(22511,plain,
% 14.29/10.01 (xuntil6(s250)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17372, 22510])).
% 14.29/10.01 tff(22512,plain,
% 14.29/10.01 (until5(s251)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17318, 22511])).
% 14.29/10.01 tff(22513,plain,
% 14.29/10.01 (~node4(s251)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17235, 36, 19918])).
% 14.29/10.01 tff(22514,plain,
% 14.29/10.01 (xuntil6(s251) | (~until5(s251))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17310, 294, 22513])).
% 14.29/10.01 tff(22515,plain,
% 14.29/10.01 (xuntil6(s251)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22514, 22512])).
% 14.29/10.01 tff(22516,plain,
% 14.29/10.01 (until5(s252)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17303, 22515])).
% 14.29/10.01 tff(22517,plain,
% 14.29/10.01 (~node4(s252)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17261, 36, 19917])).
% 14.29/10.01 tff(22518,plain,
% 14.29/10.01 (xuntil6(s252) | (~until5(s252))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17297, 294, 22517])).
% 14.29/10.01 tff(22519,plain,
% 14.29/10.01 (xuntil6(s252)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22518, 22516])).
% 14.29/10.01 tff(22520,plain,
% 14.29/10.01 (until5(s253)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17252, 22519])).
% 14.29/10.01 tff(22521,plain,
% 14.29/10.01 (~node4(s253)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17239, 36, 19916])).
% 14.29/10.01 tff(22522,plain,
% 14.29/10.01 (xuntil6(s253) | (~until5(s253))),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[17246, 294, 22521])).
% 14.29/10.01 tff(22523,plain,
% 14.29/10.01 (xuntil6(s253)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[22522, 22520])).
% 14.29/10.01 tff(22524,plain,
% 14.29/10.01 (until5(s254)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19622, 22523])).
% 14.29/10.01 tff(22525,plain,
% 14.29/10.01 (~node4(s254)),
% 14.29/10.01 inference(unit_resolution,[status(thm)],[19631, 36, 19915])).
% 14.29/10.01 tff(22526,plain,
% 14.29/10.02 (xuntil6(s254) | (~until5(s254))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[19672, 294, 22525])).
% 14.29/10.02 tff(22527,plain,
% 14.29/10.02 (xuntil6(s254)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22526, 22524])).
% 14.29/10.02 tff(22528,plain,
% 14.29/10.02 (until5(s255)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[19678, 22527])).
% 14.29/10.02 tff(22529,plain,
% 14.29/10.02 (~node4(s255)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[19687, 36, 19914])).
% 14.29/10.02 tff(22530,plain,
% 14.29/10.02 (xuntil6(s255) | (~until5(s255))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[19694, 294, 22529])).
% 14.29/10.02 tff(22531,plain,
% 14.29/10.02 (xuntil6(s255)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22530, 22528])).
% 14.29/10.02 tff(22532,plain,
% 14.29/10.02 (until5(s256)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[19898, 22531])).
% 14.29/10.02 tff(22533,plain,
% 14.29/10.02 (~node4(s256)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20677, 36, 19913])).
% 14.29/10.02 tff(22534,plain,
% 14.29/10.02 (xuntil6(s256) | (~until5(s256))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20684, 294, 22533])).
% 14.29/10.02 tff(22535,plain,
% 14.29/10.02 (xuntil6(s256)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22534, 22532])).
% 14.29/10.02 tff(22536,plain,
% 14.29/10.02 (until5(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20672, 22535])).
% 14.29/10.02 tff(22537,plain,
% 14.29/10.02 (~node4(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20659, 36, 19901])).
% 14.29/10.02 tff(22538,plain,
% 14.29/10.02 (xuntil6(s257) | (~until5(s257))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20666, 294, 22537])).
% 14.29/10.02 tff(22539,plain,
% 14.29/10.02 (xuntil6(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22538, 22536])).
% 14.29/10.02 tff(22540,plain,
% 14.29/10.02 (until5(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20646, 22539])).
% 14.29/10.02 tff(22541,assumption,(node4(s258)), introduced(assumption)).
% 14.29/10.02 tff(22542,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s258) | (~node4(s258)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s258) | (~node4(s258)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22543,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s258) | (~node4(s258)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22544,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s258) | (~node4(s258))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22543, 22542])).
% 14.29/10.02 tff(22545,plain,
% 14.29/10.02 (m_main_v_request(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22544, 21, 22541])).
% 14.29/10.02 tff(22546,plain,
% 14.29/10.02 (always3(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20630, 36, 22541])).
% 14.29/10.02 tff(22547,plain,
% 14.29/10.02 (always3(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20626, 22546])).
% 14.29/10.02 tff(22548,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s259)) | (~m_main_v_state(s259, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s259)) | (~m_main_v_state(s259, c_busy)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22549,plain,
% 14.29/10.02 (((~m_main_v_state(s259, c_busy)) | (~always3(s259))) <=> ((~always3(s259)) | (~m_main_v_state(s259, c_busy)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22550,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s259, c_busy)) | (~always3(s259)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s259)) | (~m_main_v_state(s259, c_busy))))),
% 14.29/10.02 inference(monotonicity,[status(thm)],[22549])).
% 14.29/10.02 tff(22551,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s259, c_busy)) | (~always3(s259)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s259)) | (~m_main_v_state(s259, c_busy)))),
% 14.29/10.02 inference(transitivity,[status(thm)],[22550, 22548])).
% 14.29/10.02 tff(22552,plain,
% 14.29/10.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s259, c_busy)) | (~always3(s259)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22553,plain,
% 14.29/10.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s259)) | (~m_main_v_state(s259, c_busy))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22552, 22551])).
% 14.29/10.02 tff(22554,plain,
% 14.29/10.02 (~m_main_v_state(s259, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22553, 85, 22547])).
% 14.29/10.02 tff(22555,plain,
% 14.29/10.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s258, s259)) | node2(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s258, s259)) | node2(s258, s259))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22556,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s258, s259)) | node2(s258, s259))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22557,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s258, s259)) | node2(s258, s259)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22556, 22555])).
% 14.29/10.02 tff(22558,plain,
% 14.29/10.02 (node2(s258, s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22557, 7, 20622])).
% 14.29/10.02 tff(22559,plain,
% 14.29/10.02 (((~![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(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22560,plain,
% 14.29/10.02 ((~![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(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22561,plain,
% 14.29/10.02 ((~![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(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22560, 22559])).
% 14.29/10.02 tff(22562,plain,
% 14.29/10.02 ((~m_main_v_state(s258, c_ready)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22561, 73, 22558])).
% 14.29/10.02 tff(22563,plain,
% 14.29/10.02 (~m_main_v_state(s258, c_ready)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22562, 22554, 22545])).
% 14.29/10.02 tff(22564,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s258)) | (~m_main_v_state(s258, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s258)) | (~m_main_v_state(s258, c_busy)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22565,plain,
% 14.29/10.02 (((~m_main_v_state(s258, c_busy)) | (~always3(s258))) <=> ((~always3(s258)) | (~m_main_v_state(s258, c_busy)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22566,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s258, c_busy)) | (~always3(s258)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s258)) | (~m_main_v_state(s258, c_busy))))),
% 14.29/10.02 inference(monotonicity,[status(thm)],[22565])).
% 14.29/10.02 tff(22567,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s258, c_busy)) | (~always3(s258)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s258)) | (~m_main_v_state(s258, c_busy)))),
% 14.29/10.02 inference(transitivity,[status(thm)],[22566, 22564])).
% 14.29/10.02 tff(22568,plain,
% 14.29/10.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s258, c_busy)) | (~always3(s258)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22569,plain,
% 14.29/10.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s258)) | (~m_main_v_state(s258, c_busy))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22568, 22567])).
% 14.29/10.02 tff(22570,plain,
% 14.29/10.02 (~m_main_v_state(s258, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22569, 85, 22546])).
% 14.29/10.02 tff(22571,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22572,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22573,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22572, 22571])).
% 14.29/10.02 tff(22574,plain,
% 14.29/10.02 ($false),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22573, 102, 22570, 22563])).
% 14.29/10.02 tff(22575,plain,(~node4(s258)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.02 tff(22576,plain,
% 14.29/10.02 (xuntil6(s258) | (~until5(s258))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20637, 294, 22575])).
% 14.29/10.02 tff(22577,plain,
% 14.29/10.02 (xuntil6(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22576, 22540])).
% 14.29/10.02 tff(22578,plain,
% 14.29/10.02 (until5(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20617, 22577])).
% 14.29/10.02 tff(22579,plain,
% 14.29/10.02 (xuntil6(s259) | node4(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20608, 294, 22578])).
% 14.29/10.02 tff(22580,plain,
% 14.29/10.02 (node4(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22579, 22395])).
% 14.29/10.02 tff(22581,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s259) | (~node4(s259)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s259) | (~node4(s259)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22582,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s259) | (~node4(s259)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22583,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s259) | (~node4(s259))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22582, 22581])).
% 14.29/10.02 tff(22584,plain,
% 14.29/10.02 (m_main_v_request(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22583, 21, 22580])).
% 14.29/10.02 tff(22585,plain,
% 14.29/10.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s259, s260)) | node2(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s259, s260)) | node2(s259, s260))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22586,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s259, s260)) | node2(s259, s260))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22587,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s259, s260)) | node2(s259, s260)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22586, 22585])).
% 14.29/10.02 tff(22588,plain,
% 14.29/10.02 (node2(s259, s260)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22587, 7, 20593])).
% 14.29/10.02 tff(22589,plain,
% 14.29/10.02 (((~![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(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22590,plain,
% 14.29/10.02 ((~![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(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22591,plain,
% 14.29/10.02 ((~![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(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22590, 22589])).
% 14.29/10.02 tff(22592,plain,
% 14.29/10.02 ((~m_main_v_state(s259, c_ready)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22591, 73, 22588])).
% 14.29/10.02 tff(22593,plain,
% 14.29/10.02 (~m_main_v_state(s259, c_ready)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22592, 22584, 22373])).
% 14.29/10.02 tff(22594,plain,
% 14.29/10.02 (always3(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20601, 36, 22580])).
% 14.29/10.02 tff(22595,plain,
% 14.29/10.02 (~m_main_v_state(s259, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22553, 85, 22594])).
% 14.29/10.02 tff(22596,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22597,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22598,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22597, 22596])).
% 14.29/10.02 tff(22599,plain,
% 14.29/10.02 ($false),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22598, 102, 22595, 22593])).
% 14.29/10.02 tff(22600,plain,(always3(s257) | xuntil6(s280)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.02 tff(22601,plain,
% 14.29/10.02 (always3(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22600, 19900])).
% 14.29/10.02 tff(22602,plain,
% 14.29/10.02 (always3(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20655, 22601])).
% 14.29/10.02 tff(22603,plain,
% 14.29/10.02 (~m_main_v_state(s258, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22569, 85, 22602])).
% 14.29/10.02 tff(22604,plain,
% 14.29/10.02 (always3(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20626, 22602])).
% 14.29/10.02 tff(22605,plain,
% 14.29/10.02 (always3(s260)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20597, 22604])).
% 14.29/10.02 tff(22606,plain,
% 14.29/10.02 (always3(s261)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20568, 22605])).
% 14.29/10.02 tff(22607,plain,
% 14.29/10.02 (~m_main_v_state(s261, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22156, 85, 22606])).
% 14.29/10.02 tff(22608,plain,
% 14.29/10.02 (~m_main_v_state(s260, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22372, 85, 22605])).
% 14.29/10.02 tff(22609,plain,
% 14.29/10.02 (m_main_v_state(s260, c_ready)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22378, 102, 22608])).
% 14.29/10.02 tff(22610,plain,
% 14.29/10.02 (~m_main_v_request(s260)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22387, 22609, 22607])).
% 14.29/10.02 tff(22611,plain,
% 14.29/10.02 (~node4(s260)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22391, 21, 22610])).
% 14.29/10.02 tff(22612,plain,
% 14.29/10.02 (~until5(s274)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[21167, 19900, 14862])).
% 14.29/10.02 tff(22613,plain,
% 14.29/10.02 (~xuntil6(s273)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20182, 22612])).
% 14.29/10.02 tff(22614,plain,
% 14.29/10.02 (~until5(s267)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[21709, 22613, 14862])).
% 14.29/10.02 tff(22615,plain,
% 14.29/10.02 (~xuntil6(s266)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20385, 22614])).
% 14.29/10.02 tff(22616,plain,
% 14.29/10.02 (~until5(s266)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[21974, 22615, 14862])).
% 14.29/10.02 tff(22617,plain,
% 14.29/10.02 (~xuntil6(s265)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20414, 22616])).
% 14.29/10.02 tff(22618,plain,
% 14.29/10.02 (always3(s266)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[21943, 22615, 14862])).
% 14.29/10.02 tff(22619,plain,
% 14.29/10.02 (~m_main_v_state(s266, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[21972, 85, 22618])).
% 14.29/10.02 tff(22620,plain,
% 14.29/10.02 (~until5(s262)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22131, 22619, 22617])).
% 14.29/10.02 tff(22621,plain,
% 14.29/10.02 (~xuntil6(s261)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20530, 22620])).
% 14.29/10.02 tff(22622,plain,
% 14.29/10.02 (~until5(s261)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22163, 22621])).
% 14.29/10.02 tff(22623,plain,
% 14.29/10.02 (~xuntil6(s260)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20559, 22622])).
% 14.29/10.02 tff(22624,plain,
% 14.29/10.02 (node4(s260) | (~until5(s260))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20579, 294, 22623])).
% 14.29/10.02 tff(22625,plain,
% 14.29/10.02 (~until5(s260)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22624, 22611])).
% 14.29/10.02 tff(22626,plain,
% 14.29/10.02 (~xuntil6(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20588, 22625])).
% 14.29/10.02 tff(22627,plain,
% 14.29/10.02 (~m_main_v_state(s259, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22553, 85, 22604])).
% 14.29/10.02 tff(22628,assumption,(~m_main_v_state(s259, c_busy)), introduced(assumption)).
% 14.29/10.02 tff(22629,assumption,(node1(s258)), introduced(assumption)).
% 14.29/10.02 tff(22630,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s258, c_ready) | (~node1(s258)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s258, c_ready) | (~node1(s258)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22631,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s258, c_ready) | (~node1(s258)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22632,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s258, c_ready) | (~node1(s258))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 14.29/10.02 tff(22633,plain,
% 14.29/10.02 (m_main_v_state(s258, c_ready)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22632, 3581, 22629])).
% 14.29/10.02 tff(22634,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s258) | (~node1(s258)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s258) | (~node1(s258)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22635,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s258) | (~node1(s258)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22636,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s258) | (~node1(s258))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22635, 22634])).
% 14.29/10.02 tff(22637,plain,
% 14.29/10.02 (m_main_v_request(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22636, 3568, 22629])).
% 14.29/10.02 tff(22638,plain,
% 14.29/10.02 ($false),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22562, 22637, 22633, 22628])).
% 14.29/10.02 tff(22639,plain,((~node1(s258)) | m_main_v_state(s259, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.02 tff(22640,plain,
% 14.29/10.02 (~node1(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22639, 22627])).
% 14.29/10.02 tff(22641,plain,
% 14.29/10.02 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s258, s259)) | m_main_v_state(s259, c_busy) | node1(s258) | m_main_v_state(s259, 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(s258, s259)) | m_main_v_state(s259, c_busy) | node1(s258) | m_main_v_state(s259, c_ready))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22642,plain,
% 14.29/10.02 ((node1(s258) | m_main_v_state(s259, c_ready) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy)) <=> ((~node2(s258, s259)) | m_main_v_state(s259, c_busy) | node1(s258) | m_main_v_state(s259, c_ready))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22643,plain,
% 14.29/10.02 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s258) | m_main_v_state(s259, c_ready) | (~node2(s258, s259)) | m_main_v_state(s259, 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(s258, s259)) | m_main_v_state(s259, c_busy) | node1(s258) | m_main_v_state(s259, c_ready)))),
% 14.29/10.02 inference(monotonicity,[status(thm)],[22642])).
% 14.29/10.02 tff(22644,plain,
% 14.29/10.02 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s258) | m_main_v_state(s259, c_ready) | (~node2(s258, s259)) | m_main_v_state(s259, 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(s258, s259)) | m_main_v_state(s259, c_busy) | node1(s258) | m_main_v_state(s259, c_ready))),
% 14.29/10.02 inference(transitivity,[status(thm)],[22643, 22641])).
% 14.29/10.02 tff(22645,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s258) | m_main_v_state(s259, c_ready) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22646,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | node1(s258) | m_main_v_state(s259, c_ready)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22645, 22644])).
% 14.29/10.02 tff(22647,plain,
% 14.29/10.02 (m_main_v_state(s259, c_busy) | node1(s258) | m_main_v_state(s259, c_ready)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22646, 3551, 22558])).
% 14.29/10.02 tff(22648,plain,
% 14.29/10.02 (m_main_v_state(s259, c_ready)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22647, 22627, 22640])).
% 14.29/10.02 tff(22649,plain,
% 14.29/10.02 (~m_main_v_request(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22592, 22608, 22648])).
% 14.29/10.02 tff(22650,plain,
% 14.29/10.02 (~node4(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22583, 21, 22649])).
% 14.29/10.02 tff(22651,plain,
% 14.29/10.02 (xuntil6(s259) | (~until5(s259))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20608, 294, 22650])).
% 14.29/10.02 tff(22652,plain,
% 14.29/10.02 (~until5(s259)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22651, 22626])).
% 14.29/10.02 tff(22653,plain,
% 14.29/10.02 (~xuntil6(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20617, 22652])).
% 14.29/10.02 tff(22654,plain,
% 14.29/10.02 (~until5(s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22576, 22653])).
% 14.29/10.02 tff(22655,plain,
% 14.29/10.02 (~xuntil6(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20646, 22654])).
% 14.29/10.02 tff(22656,assumption,(until5(s257)), introduced(assumption)).
% 14.29/10.02 tff(22657,plain,
% 14.29/10.02 (xuntil6(s257) | node4(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20666, 294, 22656])).
% 14.29/10.02 tff(22658,plain,
% 14.29/10.02 (node4(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22657, 22655])).
% 14.29/10.02 tff(22659,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s257) | (~node4(s257)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s257) | (~node4(s257)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22660,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s257) | (~node4(s257)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22661,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s257) | (~node4(s257))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22660, 22659])).
% 14.29/10.02 tff(22662,plain,
% 14.29/10.02 (m_main_v_request(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22661, 21, 22658])).
% 14.29/10.02 tff(22663,plain,
% 14.29/10.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s257, s258)) | node2(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s257, s258)) | node2(s257, s258))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22664,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s257, s258)) | node2(s257, s258))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22665,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s257, s258)) | node2(s257, s258)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22664, 22663])).
% 14.29/10.02 tff(22666,plain,
% 14.29/10.02 (node2(s257, s258)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22665, 7, 20651])).
% 14.29/10.02 tff(22667,plain,
% 14.29/10.02 (((~![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(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22668,plain,
% 14.29/10.02 ((~![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(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22669,plain,
% 14.29/10.02 ((~![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(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22668, 22667])).
% 14.29/10.02 tff(22670,plain,
% 14.29/10.02 ((~m_main_v_state(s257, c_ready)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22669, 73, 22666])).
% 14.29/10.02 tff(22671,plain,
% 14.29/10.02 (~m_main_v_state(s257, c_ready)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22670, 22662, 22603])).
% 14.29/10.02 tff(22672,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s257)) | (~m_main_v_state(s257, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s257)) | (~m_main_v_state(s257, c_busy)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22673,plain,
% 14.29/10.02 (((~m_main_v_state(s257, c_busy)) | (~always3(s257))) <=> ((~always3(s257)) | (~m_main_v_state(s257, c_busy)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22674,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s257, c_busy)) | (~always3(s257)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s257)) | (~m_main_v_state(s257, c_busy))))),
% 14.29/10.02 inference(monotonicity,[status(thm)],[22673])).
% 14.29/10.02 tff(22675,plain,
% 14.29/10.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s257, c_busy)) | (~always3(s257)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s257)) | (~m_main_v_state(s257, c_busy)))),
% 14.29/10.02 inference(transitivity,[status(thm)],[22674, 22672])).
% 14.29/10.02 tff(22676,plain,
% 14.29/10.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s257, c_busy)) | (~always3(s257)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22677,plain,
% 14.29/10.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s257)) | (~m_main_v_state(s257, c_busy))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22676, 22675])).
% 14.29/10.02 tff(22678,plain,
% 14.29/10.02 (~m_main_v_state(s257, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22677, 85, 22601])).
% 14.29/10.02 tff(22679,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22680,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22681,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22680, 22679])).
% 14.29/10.02 tff(22682,plain,
% 14.29/10.02 ($false),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22681, 102, 22678, 22671])).
% 14.29/10.02 tff(22683,plain,(xuntil6(s280) | (~until5(s257)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.02 tff(22684,plain,
% 14.29/10.02 (~until5(s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22683, 19900, 14862])).
% 14.29/10.02 tff(22685,plain,
% 14.29/10.02 (~xuntil6(s256)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20672, 22684])).
% 14.29/10.02 tff(22686,assumption,(until5(s256)), introduced(assumption)).
% 14.29/10.02 tff(22687,plain,
% 14.29/10.02 (xuntil6(s256) | node4(s256)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20684, 294, 22686])).
% 14.29/10.02 tff(22688,plain,
% 14.29/10.02 (node4(s256)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22687, 22685])).
% 14.29/10.02 tff(22689,assumption,(~m_main_v_state(s257, c_busy)), introduced(assumption)).
% 14.29/10.02 tff(22690,assumption,(node4(s256)), introduced(assumption)).
% 14.29/10.02 tff(22691,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s256) | (~node4(s256)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s256) | (~node4(s256)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22692,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s256) | (~node4(s256)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22693,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s256) | (~node4(s256))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22692, 22691])).
% 14.29/10.02 tff(22694,plain,
% 14.29/10.02 (m_main_v_request(s256)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22693, 21, 22690])).
% 14.29/10.02 tff(22695,plain,
% 14.29/10.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s256, s257)) | node2(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s256, s257)) | node2(s256, s257))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22696,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s256, s257)) | node2(s256, s257))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22697,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s256, s257)) | node2(s256, s257)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22696, 22695])).
% 14.29/10.02 tff(22698,plain,
% 14.29/10.02 (node2(s256, s257)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22697, 7, 19908])).
% 14.29/10.02 tff(22699,plain,
% 14.29/10.02 (((~![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(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256)))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22700,plain,
% 14.29/10.02 ((~![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(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256)))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22701,plain,
% 14.29/10.02 ((~![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(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256))),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22700, 22699])).
% 14.29/10.02 tff(22702,plain,
% 14.29/10.02 ((~m_main_v_state(s256, c_ready)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256))),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22701, 73, 22698])).
% 14.29/10.02 tff(22703,plain,
% 14.29/10.02 (~m_main_v_state(s256, c_ready)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22702, 22694, 22689])).
% 14.29/10.02 tff(22704,plain,
% 14.29/10.02 (always3(s256)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[20677, 36, 22690])).
% 14.29/10.02 tff(22705,plain,
% 14.29/10.02 (~m_main_v_state(s256, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[19870, 85, 22704])).
% 14.29/10.02 tff(22706,plain,
% 14.29/10.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22707,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22708,plain,
% 14.29/10.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22707, 22706])).
% 14.29/10.02 tff(22709,plain,
% 14.29/10.02 ($false),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22708, 102, 22705, 22703])).
% 14.29/10.02 tff(22710,plain,((~node4(s256)) | m_main_v_state(s257, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.02 tff(22711,plain,
% 14.29/10.02 (m_main_v_state(s257, c_busy)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22710, 22688])).
% 14.29/10.02 tff(22712,plain,
% 14.29/10.02 ($false),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22677, 85, 22601, 22711])).
% 14.29/10.02 tff(22713,plain,(xuntil6(s280) | (~until5(s256)) | (~until5(s184))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.02 tff(22714,plain,
% 14.29/10.02 (xuntil6(s280)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22713, 19899, 14713])).
% 14.29/10.02 tff(22715,plain,
% 14.29/10.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281))),
% 14.29/10.02 inference(rewrite,[status(thm)],[])).
% 14.29/10.02 tff(22716,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281))),
% 14.29/10.02 inference(quant_inst,[status(thm)],[])).
% 14.29/10.02 tff(22717,plain,
% 14.29/10.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281)),
% 14.29/10.02 inference(modus_ponens,[status(thm)],[22716, 22715])).
% 14.29/10.02 tff(22718,plain,
% 14.29/10.02 ((~xuntil6(s280)) | until5(s281)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22717, 21114, 312])).
% 14.29/10.02 tff(22719,plain,
% 14.29/10.02 (until5(s281)),
% 14.29/10.02 inference(unit_resolution,[status(thm)],[22718, 22714])).
% 14.29/10.02 tff(22720,assumption,(until5(s281)), introduced(assumption)).
% 14.29/10.03 tff(22721,assumption,(~xuntil6(s301)), introduced(assumption)).
% 14.29/10.03 tff(22722,assumption,(~always3(s301)), introduced(assumption)).
% 14.29/10.03 tff(22723,plain,
% 14.29/10.03 (succ(s300, s301) <=> succ(s300, s301)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22724,axiom,(succ(s300, s301)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound301')).
% 14.29/10.03 tff(22725,plain,
% 14.29/10.03 (succ(s300, s301)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22724, 22723])).
% 14.29/10.03 tff(22726,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22727,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22728,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22727, 22726])).
% 14.29/10.03 tff(22729,plain,
% 14.29/10.03 (trans(s300, s301)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22728, 22725, 52])).
% 14.29/10.03 tff(22730,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s300, s301)) | (~always3(s300)) | always3(s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s300, s301)) | (~always3(s300)) | always3(s301))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22731,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s300, s301)) | (~always3(s300)) | always3(s301))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22732,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s300, s301)) | (~always3(s300)) | always3(s301)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22731, 22730])).
% 14.29/10.03 tff(22733,plain,
% 14.29/10.03 ((~always3(s300)) | always3(s301)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22732, 125, 22729])).
% 14.29/10.03 tff(22734,plain,
% 14.29/10.03 (~always3(s300)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22733, 22722])).
% 14.29/10.03 tff(22735,plain,
% 14.29/10.03 (succ(s299, s300) <=> succ(s299, s300)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22736,axiom,(succ(s299, s300)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound300')).
% 14.29/10.03 tff(22737,plain,
% 14.29/10.03 (succ(s299, s300)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22736, 22735])).
% 14.29/10.03 tff(22738,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22739,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22740,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22739, 22738])).
% 14.29/10.03 tff(22741,plain,
% 14.29/10.03 (trans(s299, s300)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22740, 22737, 52])).
% 14.29/10.03 tff(22742,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s299, s300)) | (~always3(s299)) | always3(s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s299, s300)) | (~always3(s299)) | always3(s300))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22743,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s299, s300)) | (~always3(s299)) | always3(s300))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22744,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s299, s300)) | (~always3(s299)) | always3(s300)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22743, 22742])).
% 14.29/10.03 tff(22745,plain,
% 14.29/10.03 ((~always3(s299)) | always3(s300)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22744, 125, 22741])).
% 14.29/10.03 tff(22746,plain,
% 14.29/10.03 (~always3(s299)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22745, 22734])).
% 14.29/10.03 tff(22747,plain,
% 14.29/10.03 (succ(s298, s299) <=> succ(s298, s299)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22748,axiom,(succ(s298, s299)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound299')).
% 14.29/10.03 tff(22749,plain,
% 14.29/10.03 (succ(s298, s299)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22748, 22747])).
% 14.29/10.03 tff(22750,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22751,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22752,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22751, 22750])).
% 14.29/10.03 tff(22753,plain,
% 14.29/10.03 (trans(s298, s299)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22752, 22749, 52])).
% 14.29/10.03 tff(22754,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s298, s299)) | (~always3(s298)) | always3(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s298, s299)) | (~always3(s298)) | always3(s299))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22755,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s298, s299)) | (~always3(s298)) | always3(s299))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22756,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s298, s299)) | (~always3(s298)) | always3(s299)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22755, 22754])).
% 14.29/10.03 tff(22757,plain,
% 14.29/10.03 ((~always3(s298)) | always3(s299)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22756, 125, 22753])).
% 14.29/10.03 tff(22758,plain,
% 14.29/10.03 (~always3(s298)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22757, 22746])).
% 14.29/10.03 tff(22759,plain,
% 14.29/10.03 (succ(s297, s298) <=> succ(s297, s298)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22760,axiom,(succ(s297, s298)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound298')).
% 14.29/10.03 tff(22761,plain,
% 14.29/10.03 (succ(s297, s298)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22760, 22759])).
% 14.29/10.03 tff(22762,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22763,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22764,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22763, 22762])).
% 14.29/10.03 tff(22765,plain,
% 14.29/10.03 (trans(s297, s298)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22764, 22761, 52])).
% 14.29/10.03 tff(22766,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s297, s298)) | (~always3(s297)) | always3(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s297, s298)) | (~always3(s297)) | always3(s298))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22767,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s297, s298)) | (~always3(s297)) | always3(s298))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22768,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s297, s298)) | (~always3(s297)) | always3(s298)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22767, 22766])).
% 14.29/10.03 tff(22769,plain,
% 14.29/10.03 ((~always3(s297)) | always3(s298)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22768, 125, 22765])).
% 14.29/10.03 tff(22770,plain,
% 14.29/10.03 (~always3(s297)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22769, 22758])).
% 14.29/10.03 tff(22771,plain,
% 14.29/10.03 (succ(s296, s297) <=> succ(s296, s297)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22772,axiom,(succ(s296, s297)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound297')).
% 14.29/10.03 tff(22773,plain,
% 14.29/10.03 (succ(s296, s297)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 14.29/10.03 tff(22774,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22775,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22776,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22775, 22774])).
% 14.29/10.03 tff(22777,plain,
% 14.29/10.03 (trans(s296, s297)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22776, 22773, 52])).
% 14.29/10.03 tff(22778,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s296, s297)) | (~always3(s296)) | always3(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s296, s297)) | (~always3(s296)) | always3(s297))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22779,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s296, s297)) | (~always3(s296)) | always3(s297))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22780,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s296, s297)) | (~always3(s296)) | always3(s297)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22779, 22778])).
% 14.29/10.03 tff(22781,plain,
% 14.29/10.03 ((~always3(s296)) | always3(s297)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22780, 125, 22777])).
% 14.29/10.03 tff(22782,plain,
% 14.29/10.03 (~always3(s296)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22781, 22770])).
% 14.29/10.03 tff(22783,plain,
% 14.29/10.03 (succ(s295, s296) <=> succ(s295, s296)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22784,axiom,(succ(s295, s296)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound296')).
% 14.29/10.03 tff(22785,plain,
% 14.29/10.03 (succ(s295, s296)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22784, 22783])).
% 14.29/10.03 tff(22786,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22787,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22788,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22787, 22786])).
% 14.29/10.03 tff(22789,plain,
% 14.29/10.03 (trans(s295, s296)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22788, 22785, 52])).
% 14.29/10.03 tff(22790,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s295, s296)) | (~always3(s295)) | always3(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s295, s296)) | (~always3(s295)) | always3(s296))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22791,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s295, s296)) | (~always3(s295)) | always3(s296))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22792,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s295, s296)) | (~always3(s295)) | always3(s296)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22791, 22790])).
% 14.29/10.03 tff(22793,plain,
% 14.29/10.03 ((~always3(s295)) | always3(s296)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22792, 125, 22789])).
% 14.29/10.03 tff(22794,plain,
% 14.29/10.03 (~always3(s295)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22793, 22782])).
% 14.29/10.03 tff(22795,plain,
% 14.29/10.03 (succ(s294, s295) <=> succ(s294, s295)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22796,axiom,(succ(s294, s295)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound295')).
% 14.29/10.03 tff(22797,plain,
% 14.29/10.03 (succ(s294, s295)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22796, 22795])).
% 14.29/10.03 tff(22798,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22799,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22800,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22799, 22798])).
% 14.29/10.03 tff(22801,plain,
% 14.29/10.03 (trans(s294, s295)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22800, 22797, 52])).
% 14.29/10.03 tff(22802,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s294, s295)) | (~always3(s294)) | always3(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s294, s295)) | (~always3(s294)) | always3(s295))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22803,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s294, s295)) | (~always3(s294)) | always3(s295))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22804,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s294, s295)) | (~always3(s294)) | always3(s295)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22803, 22802])).
% 14.29/10.03 tff(22805,plain,
% 14.29/10.03 ((~always3(s294)) | always3(s295)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22804, 125, 22801])).
% 14.29/10.03 tff(22806,plain,
% 14.29/10.03 (~always3(s294)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22805, 22794])).
% 14.29/10.03 tff(22807,plain,
% 14.29/10.03 (succ(s293, s294) <=> succ(s293, s294)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22808,axiom,(succ(s293, s294)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound294')).
% 14.29/10.03 tff(22809,plain,
% 14.29/10.03 (succ(s293, s294)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22808, 22807])).
% 14.29/10.03 tff(22810,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22811,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22812,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22811, 22810])).
% 14.29/10.03 tff(22813,plain,
% 14.29/10.03 (trans(s293, s294)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22812, 22809, 52])).
% 14.29/10.03 tff(22814,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s293, s294)) | (~always3(s293)) | always3(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s293, s294)) | (~always3(s293)) | always3(s294))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22815,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s293, s294)) | (~always3(s293)) | always3(s294))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22816,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s293, s294)) | (~always3(s293)) | always3(s294)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 14.29/10.03 tff(22817,plain,
% 14.29/10.03 ((~always3(s293)) | always3(s294)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22816, 125, 22813])).
% 14.29/10.03 tff(22818,plain,
% 14.29/10.03 (~always3(s293)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22817, 22806])).
% 14.29/10.03 tff(22819,plain,
% 14.29/10.03 (succ(s292, s293) <=> succ(s292, s293)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22820,axiom,(succ(s292, s293)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound293')).
% 14.29/10.03 tff(22821,plain,
% 14.29/10.03 (succ(s292, s293)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22820, 22819])).
% 14.29/10.03 tff(22822,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22823,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22824,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22823, 22822])).
% 14.29/10.03 tff(22825,plain,
% 14.29/10.03 (trans(s292, s293)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22824, 22821, 52])).
% 14.29/10.03 tff(22826,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s292, s293)) | (~always3(s292)) | always3(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s292, s293)) | (~always3(s292)) | always3(s293))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22827,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s292, s293)) | (~always3(s292)) | always3(s293))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22828,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s292, s293)) | (~always3(s292)) | always3(s293)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22827, 22826])).
% 14.29/10.03 tff(22829,plain,
% 14.29/10.03 ((~always3(s292)) | always3(s293)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22828, 125, 22825])).
% 14.29/10.03 tff(22830,plain,
% 14.29/10.03 (~always3(s292)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22829, 22818])).
% 14.29/10.03 tff(22831,plain,
% 14.29/10.03 (succ(s291, s292) <=> succ(s291, s292)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22832,axiom,(succ(s291, s292)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound292')).
% 14.29/10.03 tff(22833,plain,
% 14.29/10.03 (succ(s291, s292)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22832, 22831])).
% 14.29/10.03 tff(22834,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22835,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22836,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22835, 22834])).
% 14.29/10.03 tff(22837,plain,
% 14.29/10.03 (trans(s291, s292)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22836, 22833, 52])).
% 14.29/10.03 tff(22838,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s291, s292)) | (~always3(s291)) | always3(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s291, s292)) | (~always3(s291)) | always3(s292))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22839,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s291, s292)) | (~always3(s291)) | always3(s292))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22840,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s291, s292)) | (~always3(s291)) | always3(s292)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22839, 22838])).
% 14.29/10.03 tff(22841,plain,
% 14.29/10.03 ((~always3(s291)) | always3(s292)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22840, 125, 22837])).
% 14.29/10.03 tff(22842,plain,
% 14.29/10.03 (~always3(s291)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22841, 22830])).
% 14.29/10.03 tff(22843,plain,
% 14.29/10.03 (succ(s290, s291) <=> succ(s290, s291)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22844,axiom,(succ(s290, s291)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound291')).
% 14.29/10.03 tff(22845,plain,
% 14.29/10.03 (succ(s290, s291)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22844, 22843])).
% 14.29/10.03 tff(22846,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22847,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22848,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22847, 22846])).
% 14.29/10.03 tff(22849,plain,
% 14.29/10.03 (trans(s290, s291)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22848, 22845, 52])).
% 14.29/10.03 tff(22850,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s290, s291)) | (~always3(s290)) | always3(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s290, s291)) | (~always3(s290)) | always3(s291))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22851,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s290, s291)) | (~always3(s290)) | always3(s291))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22852,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s290, s291)) | (~always3(s290)) | always3(s291)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22851, 22850])).
% 14.29/10.03 tff(22853,plain,
% 14.29/10.03 ((~always3(s290)) | always3(s291)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22852, 125, 22849])).
% 14.29/10.03 tff(22854,plain,
% 14.29/10.03 (~always3(s290)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22853, 22842])).
% 14.29/10.03 tff(22855,plain,
% 14.29/10.03 (succ(s289, s290) <=> succ(s289, s290)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22856,axiom,(succ(s289, s290)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound290')).
% 14.29/10.03 tff(22857,plain,
% 14.29/10.03 (succ(s289, s290)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22856, 22855])).
% 14.29/10.03 tff(22858,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22859,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22860,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22859, 22858])).
% 14.29/10.03 tff(22861,plain,
% 14.29/10.03 (trans(s289, s290)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22860, 22857, 52])).
% 14.29/10.03 tff(22862,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s289, s290)) | (~always3(s289)) | always3(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s289, s290)) | (~always3(s289)) | always3(s290))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22863,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s289, s290)) | (~always3(s289)) | always3(s290))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22864,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s289, s290)) | (~always3(s289)) | always3(s290)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22863, 22862])).
% 14.29/10.03 tff(22865,plain,
% 14.29/10.03 ((~always3(s289)) | always3(s290)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22864, 125, 22861])).
% 14.29/10.03 tff(22866,plain,
% 14.29/10.03 (~always3(s289)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22865, 22854])).
% 14.29/10.03 tff(22867,plain,
% 14.29/10.03 (succ(s288, s289) <=> succ(s288, s289)),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22868,axiom,(succ(s288, s289)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound289')).
% 14.29/10.03 tff(22869,plain,
% 14.29/10.03 (succ(s288, s289)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22868, 22867])).
% 14.29/10.03 tff(22870,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22871,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22872,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 14.29/10.03 tff(22873,plain,
% 14.29/10.03 (trans(s288, s289)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22872, 22869, 52])).
% 14.29/10.03 tff(22874,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s288, s289)) | (~always3(s288)) | always3(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s288, s289)) | (~always3(s288)) | always3(s289))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22875,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s288, s289)) | (~always3(s288)) | always3(s289))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22876,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s288, s289)) | (~always3(s288)) | always3(s289)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22875, 22874])).
% 14.29/10.03 tff(22877,plain,
% 14.29/10.03 ((~always3(s288)) | always3(s289)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22876, 125, 22873])).
% 14.29/10.03 tff(22878,plain,
% 14.29/10.03 (~always3(s288)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22877, 22866])).
% 14.29/10.03 tff(22879,plain,
% 14.29/10.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s288) | (~node4(s288)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s288) | (~node4(s288)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22880,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s288) | (~node4(s288)))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22881,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s288) | (~node4(s288))),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22880, 22879])).
% 14.29/10.03 tff(22882,plain,
% 14.29/10.03 (~node4(s288)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22881, 36, 22878])).
% 14.29/10.03 tff(22883,plain,
% 14.29/10.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s290) | (~node4(s290)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s290) | (~node4(s290)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22884,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s290) | (~node4(s290)))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22885,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s290) | (~node4(s290))),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22884, 22883])).
% 14.29/10.03 tff(22886,plain,
% 14.29/10.03 (~node4(s290)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22885, 36, 22854])).
% 14.29/10.03 tff(22887,plain,
% 14.29/10.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s300) | (~node4(s300)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s300) | (~node4(s300)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22888,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s300) | (~node4(s300)))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22889,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s300) | (~node4(s300))),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22888, 22887])).
% 14.29/10.03 tff(22890,plain,
% 14.29/10.03 (~node4(s300)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22889, 36, 22734])).
% 14.29/10.03 tff(22891,plain,
% 14.29/10.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s301) | (~node4(s301)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s301) | (~node4(s301)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22892,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s301) | (~node4(s301)))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22893,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s301) | (~node4(s301))),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22892, 22891])).
% 14.29/10.03 tff(22894,plain,
% 14.29/10.03 (~node4(s301)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22893, 36, 22722])).
% 14.29/10.03 tff(22895,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s301) | node4(s301) | (~until5(s301)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s301) | node4(s301) | (~until5(s301)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22896,plain,
% 14.29/10.03 ((node4(s301) | (~until5(s301)) | xuntil6(s301)) <=> (xuntil6(s301) | node4(s301) | (~until5(s301)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22897,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s301) | (~until5(s301)) | xuntil6(s301))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s301) | node4(s301) | (~until5(s301))))),
% 14.29/10.03 inference(monotonicity,[status(thm)],[22896])).
% 14.29/10.03 tff(22898,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s301) | (~until5(s301)) | xuntil6(s301))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s301) | node4(s301) | (~until5(s301)))),
% 14.29/10.03 inference(transitivity,[status(thm)],[22897, 22895])).
% 14.29/10.03 tff(22899,plain,
% 14.29/10.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s301) | (~until5(s301)) | xuntil6(s301))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22900,plain,
% 14.29/10.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s301) | node4(s301) | (~until5(s301))),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22899, 22898])).
% 14.29/10.03 tff(22901,plain,
% 14.29/10.03 (node4(s301) | (~until5(s301))),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22900, 294, 22721])).
% 14.29/10.03 tff(22902,plain,
% 14.29/10.03 (~until5(s301)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22901, 22894])).
% 14.29/10.03 tff(22903,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22904,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22905,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22904, 22903])).
% 14.29/10.03 tff(22906,plain,
% 14.29/10.03 ((~xuntil6(s300)) | until5(s301)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22905, 22725, 312])).
% 14.29/10.03 tff(22907,plain,
% 14.29/10.03 (~xuntil6(s300)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22906, 22902])).
% 14.29/10.03 tff(22908,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s300) | node4(s300) | (~until5(s300)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s300) | node4(s300) | (~until5(s300)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22909,plain,
% 14.29/10.03 ((node4(s300) | (~until5(s300)) | xuntil6(s300)) <=> (xuntil6(s300) | node4(s300) | (~until5(s300)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22910,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s300) | (~until5(s300)) | xuntil6(s300))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s300) | node4(s300) | (~until5(s300))))),
% 14.29/10.03 inference(monotonicity,[status(thm)],[22909])).
% 14.29/10.03 tff(22911,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s300) | (~until5(s300)) | xuntil6(s300))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s300) | node4(s300) | (~until5(s300)))),
% 14.29/10.03 inference(transitivity,[status(thm)],[22910, 22908])).
% 14.29/10.03 tff(22912,plain,
% 14.29/10.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s300) | (~until5(s300)) | xuntil6(s300))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22913,plain,
% 14.29/10.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s300) | node4(s300) | (~until5(s300))),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22912, 22911])).
% 14.29/10.03 tff(22914,plain,
% 14.29/10.03 (~until5(s300)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22913, 294, 22907, 22890])).
% 14.29/10.03 tff(22915,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22916,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22917,plain,
% 14.29/10.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300)),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22916, 22915])).
% 14.29/10.03 tff(22918,plain,
% 14.29/10.03 ((~xuntil6(s299)) | until5(s300)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22917, 22737, 312])).
% 14.29/10.03 tff(22919,plain,
% 14.29/10.03 (~xuntil6(s299)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22918, 22914])).
% 14.29/10.03 tff(22920,plain,
% 14.29/10.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s299) | (~node4(s299)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s299) | (~node4(s299)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22921,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s299) | (~node4(s299)))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22922,plain,
% 14.29/10.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s299) | (~node4(s299))),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22921, 22920])).
% 14.29/10.03 tff(22923,plain,
% 14.29/10.03 (~node4(s299)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22922, 36, 22746])).
% 14.29/10.03 tff(22924,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s299) | node4(s299) | (~until5(s299)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s299) | node4(s299) | (~until5(s299)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22925,plain,
% 14.29/10.03 ((node4(s299) | (~until5(s299)) | xuntil6(s299)) <=> (xuntil6(s299) | node4(s299) | (~until5(s299)))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.03 tff(22926,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s299) | (~until5(s299)) | xuntil6(s299))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s299) | node4(s299) | (~until5(s299))))),
% 14.29/10.03 inference(monotonicity,[status(thm)],[22925])).
% 14.29/10.03 tff(22927,plain,
% 14.29/10.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s299) | (~until5(s299)) | xuntil6(s299))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s299) | node4(s299) | (~until5(s299)))),
% 14.29/10.03 inference(transitivity,[status(thm)],[22926, 22924])).
% 14.29/10.03 tff(22928,plain,
% 14.29/10.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s299) | (~until5(s299)) | xuntil6(s299))),
% 14.29/10.03 inference(quant_inst,[status(thm)],[])).
% 14.29/10.03 tff(22929,plain,
% 14.29/10.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s299) | node4(s299) | (~until5(s299))),
% 14.29/10.03 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 14.29/10.03 tff(22930,plain,
% 14.29/10.03 (xuntil6(s299) | (~until5(s299))),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22929, 294, 22923])).
% 14.29/10.03 tff(22931,plain,
% 14.29/10.03 (~until5(s299)),
% 14.29/10.03 inference(unit_resolution,[status(thm)],[22930, 22919])).
% 14.29/10.03 tff(22932,plain,
% 14.29/10.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299))),
% 14.29/10.03 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22933,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22934,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22933, 22932])).
% 14.29/10.04 tff(22935,plain,
% 14.29/10.04 ((~xuntil6(s298)) | until5(s299)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22934, 22749, 312])).
% 14.29/10.04 tff(22936,plain,
% 14.29/10.04 (~xuntil6(s298)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22935, 22931])).
% 14.29/10.04 tff(22937,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s298) | (~node4(s298)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s298) | (~node4(s298)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22938,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s298) | (~node4(s298)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22939,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s298) | (~node4(s298))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22938, 22937])).
% 14.29/10.04 tff(22940,plain,
% 14.29/10.04 (~node4(s298)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22939, 36, 22758])).
% 14.29/10.04 tff(22941,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s298) | node4(s298) | (~until5(s298)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s298) | node4(s298) | (~until5(s298)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22942,plain,
% 14.29/10.04 ((node4(s298) | (~until5(s298)) | xuntil6(s298)) <=> (xuntil6(s298) | node4(s298) | (~until5(s298)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22943,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s298) | (~until5(s298)) | xuntil6(s298))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s298) | node4(s298) | (~until5(s298))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[22942])).
% 14.29/10.04 tff(22944,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s298) | (~until5(s298)) | xuntil6(s298))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s298) | node4(s298) | (~until5(s298)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[22943, 22941])).
% 14.29/10.04 tff(22945,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s298) | (~until5(s298)) | xuntil6(s298))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22946,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s298) | node4(s298) | (~until5(s298))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22945, 22944])).
% 14.29/10.04 tff(22947,plain,
% 14.29/10.04 (xuntil6(s298) | (~until5(s298))),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22946, 294, 22940])).
% 14.29/10.04 tff(22948,plain,
% 14.29/10.04 (~until5(s298)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22947, 22936])).
% 14.29/10.04 tff(22949,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22950,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22951,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22950, 22949])).
% 14.29/10.04 tff(22952,plain,
% 14.29/10.04 ((~xuntil6(s297)) | until5(s298)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22951, 22761, 312])).
% 14.29/10.04 tff(22953,plain,
% 14.29/10.04 (~xuntil6(s297)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22952, 22948])).
% 14.29/10.04 tff(22954,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s297) | (~node4(s297)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s297) | (~node4(s297)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22955,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s297) | (~node4(s297)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22956,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s297) | (~node4(s297))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22955, 22954])).
% 14.29/10.04 tff(22957,plain,
% 14.29/10.04 (~node4(s297)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22956, 36, 22770])).
% 14.29/10.04 tff(22958,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s297) | node4(s297) | (~until5(s297)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s297) | node4(s297) | (~until5(s297)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22959,plain,
% 14.29/10.04 ((node4(s297) | (~until5(s297)) | xuntil6(s297)) <=> (xuntil6(s297) | node4(s297) | (~until5(s297)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22960,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s297) | (~until5(s297)) | xuntil6(s297))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s297) | node4(s297) | (~until5(s297))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[22959])).
% 14.29/10.04 tff(22961,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s297) | (~until5(s297)) | xuntil6(s297))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s297) | node4(s297) | (~until5(s297)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[22960, 22958])).
% 14.29/10.04 tff(22962,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s297) | (~until5(s297)) | xuntil6(s297))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22963,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s297) | node4(s297) | (~until5(s297))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22962, 22961])).
% 14.29/10.04 tff(22964,plain,
% 14.29/10.04 (xuntil6(s297) | (~until5(s297))),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22963, 294, 22957])).
% 14.29/10.04 tff(22965,plain,
% 14.29/10.04 (~until5(s297)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22964, 22953])).
% 14.29/10.04 tff(22966,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22967,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22968,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22967, 22966])).
% 14.29/10.04 tff(22969,plain,
% 14.29/10.04 ((~xuntil6(s296)) | until5(s297)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22968, 22773, 312])).
% 14.29/10.04 tff(22970,plain,
% 14.29/10.04 (~xuntil6(s296)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22969, 22965])).
% 14.29/10.04 tff(22971,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s292) | (~node4(s292)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s292) | (~node4(s292)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22972,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s292) | (~node4(s292)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22973,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s292) | (~node4(s292))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 14.29/10.04 tff(22974,plain,
% 14.29/10.04 (~node4(s292)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22973, 36, 22830])).
% 14.29/10.04 tff(22975,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s291) | (~node4(s291)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s291) | (~node4(s291)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22976,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s291) | (~node4(s291)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22977,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s291) | (~node4(s291))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 14.29/10.04 tff(22978,plain,
% 14.29/10.04 (~node4(s291)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22977, 36, 22842])).
% 14.29/10.04 tff(22979,assumption,(until5(s291)), introduced(assumption)).
% 14.29/10.04 tff(22980,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s291) | node4(s291) | (~until5(s291)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s291) | node4(s291) | (~until5(s291)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22981,plain,
% 14.29/10.04 ((node4(s291) | (~until5(s291)) | xuntil6(s291)) <=> (xuntil6(s291) | node4(s291) | (~until5(s291)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22982,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s291) | (~until5(s291)) | xuntil6(s291))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s291) | node4(s291) | (~until5(s291))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[22981])).
% 14.29/10.04 tff(22983,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s291) | (~until5(s291)) | xuntil6(s291))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s291) | node4(s291) | (~until5(s291)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[22982, 22980])).
% 14.29/10.04 tff(22984,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s291) | (~until5(s291)) | xuntil6(s291))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22985,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s291) | node4(s291) | (~until5(s291))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 14.29/10.04 tff(22986,plain,
% 14.29/10.04 (xuntil6(s291) | node4(s291)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22985, 294, 22979])).
% 14.29/10.04 tff(22987,plain,
% 14.29/10.04 (xuntil6(s291)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22986, 22978])).
% 14.29/10.04 tff(22988,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22989,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22990,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22989, 22988])).
% 14.29/10.04 tff(22991,plain,
% 14.29/10.04 ((~xuntil6(s291)) | until5(s292)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22990, 22833, 312])).
% 14.29/10.04 tff(22992,plain,
% 14.29/10.04 (until5(s292)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22991, 22987])).
% 14.29/10.04 tff(22993,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s292) | node4(s292) | (~until5(s292)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s292) | node4(s292) | (~until5(s292)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22994,plain,
% 14.29/10.04 ((node4(s292) | (~until5(s292)) | xuntil6(s292)) <=> (xuntil6(s292) | node4(s292) | (~until5(s292)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(22995,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s292) | (~until5(s292)) | xuntil6(s292))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s292) | node4(s292) | (~until5(s292))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[22994])).
% 14.29/10.04 tff(22996,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s292) | (~until5(s292)) | xuntil6(s292))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s292) | node4(s292) | (~until5(s292)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[22995, 22993])).
% 14.29/10.04 tff(22997,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s292) | (~until5(s292)) | xuntil6(s292))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(22998,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s292) | node4(s292) | (~until5(s292))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[22997, 22996])).
% 14.29/10.04 tff(22999,plain,
% 14.29/10.04 (xuntil6(s292)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22998, 294, 22992, 22974])).
% 14.29/10.04 tff(23000,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23001,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23002,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23001, 23000])).
% 14.29/10.04 tff(23003,plain,
% 14.29/10.04 ((~xuntil6(s292)) | until5(s293)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23002, 22821, 312])).
% 14.29/10.04 tff(23004,plain,
% 14.29/10.04 (until5(s293)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23003, 22999])).
% 14.29/10.04 tff(23005,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s293) | (~node4(s293)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s293) | (~node4(s293)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23006,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s293) | (~node4(s293)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23007,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s293) | (~node4(s293))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23006, 23005])).
% 14.29/10.04 tff(23008,plain,
% 14.29/10.04 (~node4(s293)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23007, 36, 22818])).
% 14.29/10.04 tff(23009,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s293) | node4(s293) | (~until5(s293)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s293) | node4(s293) | (~until5(s293)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23010,plain,
% 14.29/10.04 ((node4(s293) | (~until5(s293)) | xuntil6(s293)) <=> (xuntil6(s293) | node4(s293) | (~until5(s293)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23011,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s293) | (~until5(s293)) | xuntil6(s293))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s293) | node4(s293) | (~until5(s293))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[23010])).
% 14.29/10.04 tff(23012,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s293) | (~until5(s293)) | xuntil6(s293))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s293) | node4(s293) | (~until5(s293)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[23011, 23009])).
% 14.29/10.04 tff(23013,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s293) | (~until5(s293)) | xuntil6(s293))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23014,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s293) | node4(s293) | (~until5(s293))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 14.29/10.04 tff(23015,plain,
% 14.29/10.04 (xuntil6(s293) | (~until5(s293))),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23014, 294, 23008])).
% 14.29/10.04 tff(23016,plain,
% 14.29/10.04 (xuntil6(s293)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23015, 23004])).
% 14.29/10.04 tff(23017,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23018,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23019,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 14.29/10.04 tff(23020,plain,
% 14.29/10.04 ((~xuntil6(s293)) | until5(s294)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23019, 22809, 312])).
% 14.29/10.04 tff(23021,plain,
% 14.29/10.04 (until5(s294)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23020, 23016])).
% 14.29/10.04 tff(23022,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s294) | (~node4(s294)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s294) | (~node4(s294)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23023,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s294) | (~node4(s294)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23024,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s294) | (~node4(s294))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23023, 23022])).
% 14.29/10.04 tff(23025,plain,
% 14.29/10.04 (~node4(s294)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23024, 36, 22806])).
% 14.29/10.04 tff(23026,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s294) | node4(s294) | (~until5(s294)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s294) | node4(s294) | (~until5(s294)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23027,plain,
% 14.29/10.04 ((node4(s294) | (~until5(s294)) | xuntil6(s294)) <=> (xuntil6(s294) | node4(s294) | (~until5(s294)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23028,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s294) | (~until5(s294)) | xuntil6(s294))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s294) | node4(s294) | (~until5(s294))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[23027])).
% 14.29/10.04 tff(23029,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s294) | (~until5(s294)) | xuntil6(s294))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s294) | node4(s294) | (~until5(s294)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[23028, 23026])).
% 14.29/10.04 tff(23030,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s294) | (~until5(s294)) | xuntil6(s294))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23031,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s294) | node4(s294) | (~until5(s294))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23030, 23029])).
% 14.29/10.04 tff(23032,plain,
% 14.29/10.04 (xuntil6(s294) | (~until5(s294))),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23031, 294, 23025])).
% 14.29/10.04 tff(23033,plain,
% 14.29/10.04 (xuntil6(s294)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23032, 23021])).
% 14.29/10.04 tff(23034,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23035,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23036,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23035, 23034])).
% 14.29/10.04 tff(23037,plain,
% 14.29/10.04 ((~xuntil6(s294)) | until5(s295)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23036, 22797, 312])).
% 14.29/10.04 tff(23038,plain,
% 14.29/10.04 (until5(s295)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23037, 23033])).
% 14.29/10.04 tff(23039,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s295) | (~node4(s295)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s295) | (~node4(s295)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23040,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s295) | (~node4(s295)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23041,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s295) | (~node4(s295))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23040, 23039])).
% 14.29/10.04 tff(23042,plain,
% 14.29/10.04 (~node4(s295)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23041, 36, 22794])).
% 14.29/10.04 tff(23043,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s295) | node4(s295) | (~until5(s295)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s295) | node4(s295) | (~until5(s295)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23044,plain,
% 14.29/10.04 ((node4(s295) | (~until5(s295)) | xuntil6(s295)) <=> (xuntil6(s295) | node4(s295) | (~until5(s295)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23045,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s295) | (~until5(s295)) | xuntil6(s295))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s295) | node4(s295) | (~until5(s295))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[23044])).
% 14.29/10.04 tff(23046,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s295) | (~until5(s295)) | xuntil6(s295))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s295) | node4(s295) | (~until5(s295)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[23045, 23043])).
% 14.29/10.04 tff(23047,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s295) | (~until5(s295)) | xuntil6(s295))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23048,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s295) | node4(s295) | (~until5(s295))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23047, 23046])).
% 14.29/10.04 tff(23049,plain,
% 14.29/10.04 (xuntil6(s295) | (~until5(s295))),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23048, 294, 23042])).
% 14.29/10.04 tff(23050,plain,
% 14.29/10.04 (xuntil6(s295)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23049, 23038])).
% 14.29/10.04 tff(23051,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23052,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23053,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23052, 23051])).
% 14.29/10.04 tff(23054,plain,
% 14.29/10.04 ((~xuntil6(s295)) | until5(s296)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23053, 22785, 312])).
% 14.29/10.04 tff(23055,plain,
% 14.29/10.04 (until5(s296)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23054, 23050])).
% 14.29/10.04 tff(23056,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s296) | (~node4(s296)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s296) | (~node4(s296)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23057,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s296) | (~node4(s296)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23058,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s296) | (~node4(s296))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23057, 23056])).
% 14.29/10.04 tff(23059,plain,
% 14.29/10.04 (~node4(s296)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23058, 36, 22782])).
% 14.29/10.04 tff(23060,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s296) | node4(s296) | (~until5(s296)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s296) | node4(s296) | (~until5(s296)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23061,plain,
% 14.29/10.04 ((node4(s296) | (~until5(s296)) | xuntil6(s296)) <=> (xuntil6(s296) | node4(s296) | (~until5(s296)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23062,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s296) | (~until5(s296)) | xuntil6(s296))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s296) | node4(s296) | (~until5(s296))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[23061])).
% 14.29/10.04 tff(23063,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s296) | (~until5(s296)) | xuntil6(s296))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s296) | node4(s296) | (~until5(s296)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[23062, 23060])).
% 14.29/10.04 tff(23064,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s296) | (~until5(s296)) | xuntil6(s296))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23065,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s296) | node4(s296) | (~until5(s296))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23064, 23063])).
% 14.29/10.04 tff(23066,plain,
% 14.29/10.04 (xuntil6(s296) | (~until5(s296))),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23065, 294, 23059])).
% 14.29/10.04 tff(23067,plain,
% 14.29/10.04 ($false),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23066, 23055, 22970])).
% 14.29/10.04 tff(23068,plain,(always3(s301) | (~until5(s291)) | xuntil6(s301)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.04 tff(23069,plain,
% 14.29/10.04 (~until5(s291)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23068, 22722, 22721])).
% 14.29/10.04 tff(23070,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23071,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23072,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23071, 23070])).
% 14.29/10.04 tff(23073,plain,
% 14.29/10.04 ((~xuntil6(s290)) | until5(s291)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23072, 22845, 312])).
% 14.29/10.04 tff(23074,plain,
% 14.29/10.04 (~xuntil6(s290)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23073, 23069])).
% 14.29/10.04 tff(23075,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s290) | node4(s290) | (~until5(s290)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s290) | node4(s290) | (~until5(s290)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23076,plain,
% 14.29/10.04 ((node4(s290) | (~until5(s290)) | xuntil6(s290)) <=> (xuntil6(s290) | node4(s290) | (~until5(s290)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23077,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s290) | (~until5(s290)) | xuntil6(s290))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s290) | node4(s290) | (~until5(s290))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[23076])).
% 14.29/10.04 tff(23078,plain,
% 14.29/10.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s290) | (~until5(s290)) | xuntil6(s290))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s290) | node4(s290) | (~until5(s290)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[23077, 23075])).
% 14.29/10.04 tff(23079,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s290) | (~until5(s290)) | xuntil6(s290))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23080,plain,
% 14.29/10.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s290) | node4(s290) | (~until5(s290))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23079, 23078])).
% 14.29/10.04 tff(23081,plain,
% 14.29/10.04 (~until5(s290)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23080, 294, 23074, 22886])).
% 14.29/10.04 tff(23082,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23083,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23084,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23083, 23082])).
% 14.29/10.04 tff(23085,plain,
% 14.29/10.04 ((~xuntil6(s289)) | until5(s290)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23084, 22857, 312])).
% 14.29/10.04 tff(23086,plain,
% 14.29/10.04 (~xuntil6(s289)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23085, 23081])).
% 14.29/10.04 tff(23087,assumption,(node4(s289)), introduced(assumption)).
% 14.29/10.04 tff(23088,plain,
% 14.29/10.04 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s289) | (~node4(s289)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s289) | (~node4(s289)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23089,plain,
% 14.29/10.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s289) | (~node4(s289)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23090,plain,
% 14.29/10.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s289) | (~node4(s289))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 14.29/10.04 tff(23091,plain,
% 14.29/10.04 (m_main_v_request(s289)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23090, 21, 23087])).
% 14.29/10.04 tff(23092,plain,
% 14.29/10.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s289) | (~node4(s289)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s289) | (~node4(s289)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23093,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s289) | (~node4(s289)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23094,plain,
% 14.29/10.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s289) | (~node4(s289))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23093, 23092])).
% 14.29/10.04 tff(23095,plain,
% 14.29/10.04 (always3(s289)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23094, 36, 23087])).
% 14.29/10.04 tff(23096,plain,
% 14.29/10.04 (always3(s290)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[22865, 23095])).
% 14.29/10.04 tff(23097,plain,
% 14.29/10.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s290)) | (~m_main_v_state(s290, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s290)) | (~m_main_v_state(s290, c_busy)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23098,plain,
% 14.29/10.04 (((~m_main_v_state(s290, c_busy)) | (~always3(s290))) <=> ((~always3(s290)) | (~m_main_v_state(s290, c_busy)))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23099,plain,
% 14.29/10.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s290, c_busy)) | (~always3(s290)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s290)) | (~m_main_v_state(s290, c_busy))))),
% 14.29/10.04 inference(monotonicity,[status(thm)],[23098])).
% 14.29/10.04 tff(23100,plain,
% 14.29/10.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s290, c_busy)) | (~always3(s290)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s290)) | (~m_main_v_state(s290, c_busy)))),
% 14.29/10.04 inference(transitivity,[status(thm)],[23099, 23097])).
% 14.29/10.04 tff(23101,plain,
% 14.29/10.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s290, c_busy)) | (~always3(s290)))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23102,plain,
% 14.29/10.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s290)) | (~m_main_v_state(s290, c_busy))),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 14.29/10.04 tff(23103,plain,
% 14.29/10.04 (~m_main_v_state(s290, c_busy)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23102, 85, 23096])).
% 14.29/10.04 tff(23104,plain,
% 14.29/10.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s289, s290)) | node2(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s289, s290)) | node2(s289, s290))),
% 14.29/10.04 inference(rewrite,[status(thm)],[])).
% 14.29/10.04 tff(23105,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s289, s290)) | node2(s289, s290))),
% 14.29/10.04 inference(quant_inst,[status(thm)],[])).
% 14.29/10.04 tff(23106,plain,
% 14.29/10.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s289, s290)) | node2(s289, s290)),
% 14.29/10.04 inference(modus_ponens,[status(thm)],[23105, 23104])).
% 14.29/10.04 tff(23107,plain,
% 14.29/10.04 (node2(s289, s290)),
% 14.29/10.04 inference(unit_resolution,[status(thm)],[23106, 7, 22861])).
% 14.29/10.04 tff(23108,plain,
% 14.29/10.04 (((~![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(s289, c_ready)) | (~node2(s289, s290)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s289, c_ready)) | (~node2(s289, s290)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23109,plain,
% 14.29/10.05 ((~![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(s289, c_ready)) | (~node2(s289, s290)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289)))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23110,plain,
% 14.29/10.05 ((~![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(s289, c_ready)) | (~node2(s289, s290)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23109, 23108])).
% 14.29/10.05 tff(23111,plain,
% 14.29/10.05 ((~m_main_v_state(s289, c_ready)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289))),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23110, 73, 23107])).
% 14.29/10.05 tff(23112,plain,
% 14.29/10.05 (~m_main_v_state(s289, c_ready)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23111, 23103, 23091])).
% 14.29/10.05 tff(23113,plain,
% 14.29/10.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s289)) | (~m_main_v_state(s289, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s289)) | (~m_main_v_state(s289, c_busy)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23114,plain,
% 14.29/10.05 (((~m_main_v_state(s289, c_busy)) | (~always3(s289))) <=> ((~always3(s289)) | (~m_main_v_state(s289, c_busy)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23115,plain,
% 14.29/10.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s289, c_busy)) | (~always3(s289)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s289)) | (~m_main_v_state(s289, c_busy))))),
% 14.29/10.05 inference(monotonicity,[status(thm)],[23114])).
% 14.29/10.05 tff(23116,plain,
% 14.29/10.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s289, c_busy)) | (~always3(s289)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s289)) | (~m_main_v_state(s289, c_busy)))),
% 14.29/10.05 inference(transitivity,[status(thm)],[23115, 23113])).
% 14.29/10.05 tff(23117,plain,
% 14.29/10.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s289, c_busy)) | (~always3(s289)))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23118,plain,
% 14.29/10.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s289)) | (~m_main_v_state(s289, c_busy))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 14.29/10.05 tff(23119,plain,
% 14.29/10.05 (~m_main_v_state(s289, c_busy)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23118, 85, 23095])).
% 14.29/10.05 tff(23120,plain,
% 14.29/10.05 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s289, c_busy) | m_main_v_state(s289, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s289, c_busy) | m_main_v_state(s289, c_ready))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23121,plain,
% 14.29/10.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s289, c_busy) | m_main_v_state(s289, c_ready))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23122,plain,
% 14.29/10.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s289, c_busy) | m_main_v_state(s289, c_ready)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 14.29/10.05 tff(23123,plain,
% 14.29/10.05 ($false),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23122, 102, 23119, 23112])).
% 14.29/10.05 tff(23124,plain,(~node4(s289)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.05 tff(23125,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s289) | node4(s289) | (~until5(s289)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s289) | node4(s289) | (~until5(s289)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23126,plain,
% 14.29/10.05 ((node4(s289) | (~until5(s289)) | xuntil6(s289)) <=> (xuntil6(s289) | node4(s289) | (~until5(s289)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23127,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s289) | (~until5(s289)) | xuntil6(s289))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s289) | node4(s289) | (~until5(s289))))),
% 14.29/10.05 inference(monotonicity,[status(thm)],[23126])).
% 14.29/10.05 tff(23128,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s289) | (~until5(s289)) | xuntil6(s289))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s289) | node4(s289) | (~until5(s289)))),
% 14.29/10.05 inference(transitivity,[status(thm)],[23127, 23125])).
% 14.29/10.05 tff(23129,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s289) | (~until5(s289)) | xuntil6(s289))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23130,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s289) | node4(s289) | (~until5(s289))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23129, 23128])).
% 14.29/10.05 tff(23131,plain,
% 14.29/10.05 (xuntil6(s289) | (~until5(s289))),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23130, 294, 23124])).
% 14.29/10.05 tff(23132,plain,
% 14.29/10.05 (~until5(s289)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23131, 23086])).
% 14.29/10.05 tff(23133,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23134,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23135,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 14.29/10.05 tff(23136,plain,
% 14.29/10.05 ((~xuntil6(s288)) | until5(s289)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23135, 22869, 312])).
% 14.29/10.05 tff(23137,plain,
% 14.29/10.05 (~xuntil6(s288)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23136, 23132])).
% 14.29/10.05 tff(23138,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s288) | node4(s288) | (~until5(s288)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s288) | node4(s288) | (~until5(s288)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23139,plain,
% 14.29/10.05 ((node4(s288) | (~until5(s288)) | xuntil6(s288)) <=> (xuntil6(s288) | node4(s288) | (~until5(s288)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23140,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s288) | (~until5(s288)) | xuntil6(s288))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s288) | node4(s288) | (~until5(s288))))),
% 14.29/10.05 inference(monotonicity,[status(thm)],[23139])).
% 14.29/10.05 tff(23141,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s288) | (~until5(s288)) | xuntil6(s288))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s288) | node4(s288) | (~until5(s288)))),
% 14.29/10.05 inference(transitivity,[status(thm)],[23140, 23138])).
% 14.29/10.05 tff(23142,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s288) | (~until5(s288)) | xuntil6(s288))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23143,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s288) | node4(s288) | (~until5(s288))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23142, 23141])).
% 14.29/10.05 tff(23144,plain,
% 14.29/10.05 (~until5(s288)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23143, 294, 23137, 22882])).
% 14.29/10.05 tff(23145,plain,
% 14.29/10.05 (succ(s287, s288) <=> succ(s287, s288)),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23146,axiom,(succ(s287, s288)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound288')).
% 14.29/10.05 tff(23147,plain,
% 14.29/10.05 (succ(s287, s288)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23146, 23145])).
% 14.29/10.05 tff(23148,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23149,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23150,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23149, 23148])).
% 14.29/10.05 tff(23151,plain,
% 14.29/10.05 ((~xuntil6(s287)) | until5(s288)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23150, 23147, 312])).
% 14.29/10.05 tff(23152,plain,
% 14.29/10.05 (~xuntil6(s287)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23151, 23144])).
% 14.29/10.05 tff(23153,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23154,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23155,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23154, 23153])).
% 14.29/10.05 tff(23156,plain,
% 14.29/10.05 (trans(s287, s288)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23155, 23147, 52])).
% 14.29/10.05 tff(23157,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s287, s288)) | (~always3(s287)) | always3(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s287, s288)) | (~always3(s287)) | always3(s288))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23158,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s287, s288)) | (~always3(s287)) | always3(s288))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23159,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s287, s288)) | (~always3(s287)) | always3(s288)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23158, 23157])).
% 14.29/10.05 tff(23160,plain,
% 14.29/10.05 ((~always3(s287)) | always3(s288)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23159, 125, 23156])).
% 14.29/10.05 tff(23161,plain,
% 14.29/10.05 (~always3(s287)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23160, 22878])).
% 14.29/10.05 tff(23162,plain,
% 14.29/10.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s287) | (~node4(s287)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s287) | (~node4(s287)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23163,plain,
% 14.29/10.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s287) | (~node4(s287)))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23164,plain,
% 14.29/10.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s287) | (~node4(s287))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23163, 23162])).
% 14.29/10.05 tff(23165,plain,
% 14.29/10.05 (~node4(s287)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23164, 36, 23161])).
% 14.29/10.05 tff(23166,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s287) | node4(s287) | (~until5(s287)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s287) | node4(s287) | (~until5(s287)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23167,plain,
% 14.29/10.05 ((node4(s287) | (~until5(s287)) | xuntil6(s287)) <=> (xuntil6(s287) | node4(s287) | (~until5(s287)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23168,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s287) | (~until5(s287)) | xuntil6(s287))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s287) | node4(s287) | (~until5(s287))))),
% 14.29/10.05 inference(monotonicity,[status(thm)],[23167])).
% 14.29/10.05 tff(23169,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s287) | (~until5(s287)) | xuntil6(s287))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s287) | node4(s287) | (~until5(s287)))),
% 14.29/10.05 inference(transitivity,[status(thm)],[23168, 23166])).
% 14.29/10.05 tff(23170,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s287) | (~until5(s287)) | xuntil6(s287))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23171,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s287) | node4(s287) | (~until5(s287))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23170, 23169])).
% 14.29/10.05 tff(23172,plain,
% 14.29/10.05 (xuntil6(s287) | (~until5(s287))),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23171, 294, 23165])).
% 14.29/10.05 tff(23173,plain,
% 14.29/10.05 (~until5(s287)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23172, 23152])).
% 14.29/10.05 tff(23174,plain,
% 14.29/10.05 (succ(s286, s287) <=> succ(s286, s287)),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23175,axiom,(succ(s286, s287)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound287')).
% 14.29/10.05 tff(23176,plain,
% 14.29/10.05 (succ(s286, s287)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23175, 23174])).
% 14.29/10.05 tff(23177,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23178,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23179,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 14.29/10.05 tff(23180,plain,
% 14.29/10.05 ((~xuntil6(s286)) | until5(s287)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23179, 23176, 312])).
% 14.29/10.05 tff(23181,plain,
% 14.29/10.05 (~xuntil6(s286)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23180, 23173])).
% 14.29/10.05 tff(23182,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23183,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23184,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23183, 23182])).
% 14.29/10.05 tff(23185,plain,
% 14.29/10.05 (trans(s286, s287)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23184, 23176, 52])).
% 14.29/10.05 tff(23186,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s286, s287)) | (~always3(s286)) | always3(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s286, s287)) | (~always3(s286)) | always3(s287))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23187,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s286, s287)) | (~always3(s286)) | always3(s287))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23188,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s286, s287)) | (~always3(s286)) | always3(s287)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23187, 23186])).
% 14.29/10.05 tff(23189,plain,
% 14.29/10.05 ((~always3(s286)) | always3(s287)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23188, 125, 23185])).
% 14.29/10.05 tff(23190,plain,
% 14.29/10.05 (~always3(s286)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23189, 23161])).
% 14.29/10.05 tff(23191,plain,
% 14.29/10.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s286) | (~node4(s286)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s286) | (~node4(s286)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23192,plain,
% 14.29/10.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s286) | (~node4(s286)))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23193,plain,
% 14.29/10.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s286) | (~node4(s286))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23192, 23191])).
% 14.29/10.05 tff(23194,plain,
% 14.29/10.05 (~node4(s286)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23193, 36, 23190])).
% 14.29/10.05 tff(23195,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s286) | node4(s286) | (~until5(s286)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s286) | node4(s286) | (~until5(s286)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23196,plain,
% 14.29/10.05 ((node4(s286) | (~until5(s286)) | xuntil6(s286)) <=> (xuntil6(s286) | node4(s286) | (~until5(s286)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23197,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s286) | (~until5(s286)) | xuntil6(s286))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s286) | node4(s286) | (~until5(s286))))),
% 14.29/10.05 inference(monotonicity,[status(thm)],[23196])).
% 14.29/10.05 tff(23198,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s286) | (~until5(s286)) | xuntil6(s286))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s286) | node4(s286) | (~until5(s286)))),
% 14.29/10.05 inference(transitivity,[status(thm)],[23197, 23195])).
% 14.29/10.05 tff(23199,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s286) | (~until5(s286)) | xuntil6(s286))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23200,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s286) | node4(s286) | (~until5(s286))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23199, 23198])).
% 14.29/10.05 tff(23201,plain,
% 14.29/10.05 (xuntil6(s286) | (~until5(s286))),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23200, 294, 23194])).
% 14.29/10.05 tff(23202,plain,
% 14.29/10.05 (~until5(s286)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23201, 23181])).
% 14.29/10.05 tff(23203,plain,
% 14.29/10.05 (succ(s285, s286) <=> succ(s285, s286)),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23204,axiom,(succ(s285, s286)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound286')).
% 14.29/10.05 tff(23205,plain,
% 14.29/10.05 (succ(s285, s286)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23204, 23203])).
% 14.29/10.05 tff(23206,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23207,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23208,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23207, 23206])).
% 14.29/10.05 tff(23209,plain,
% 14.29/10.05 ((~xuntil6(s285)) | until5(s286)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23208, 23205, 312])).
% 14.29/10.05 tff(23210,plain,
% 14.29/10.05 (~xuntil6(s285)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23209, 23202])).
% 14.29/10.05 tff(23211,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23212,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23213,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23212, 23211])).
% 14.29/10.05 tff(23214,plain,
% 14.29/10.05 (trans(s285, s286)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23213, 23205, 52])).
% 14.29/10.05 tff(23215,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s285, s286)) | (~always3(s285)) | always3(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s285, s286)) | (~always3(s285)) | always3(s286))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23216,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s285, s286)) | (~always3(s285)) | always3(s286))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23217,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s285, s286)) | (~always3(s285)) | always3(s286)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23216, 23215])).
% 14.29/10.05 tff(23218,plain,
% 14.29/10.05 ((~always3(s285)) | always3(s286)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23217, 125, 23214])).
% 14.29/10.05 tff(23219,plain,
% 14.29/10.05 (~always3(s285)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23218, 23190])).
% 14.29/10.05 tff(23220,plain,
% 14.29/10.05 (succ(s284, s285) <=> succ(s284, s285)),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23221,axiom,(succ(s284, s285)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound285')).
% 14.29/10.05 tff(23222,plain,
% 14.29/10.05 (succ(s284, s285)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23221, 23220])).
% 14.29/10.05 tff(23223,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23224,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23225,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23224, 23223])).
% 14.29/10.05 tff(23226,plain,
% 14.29/10.05 (trans(s284, s285)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23225, 23222, 52])).
% 14.29/10.05 tff(23227,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s284, s285)) | (~always3(s284)) | always3(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s284, s285)) | (~always3(s284)) | always3(s285))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23228,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s284, s285)) | (~always3(s284)) | always3(s285))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23229,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s284, s285)) | (~always3(s284)) | always3(s285)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23228, 23227])).
% 14.29/10.05 tff(23230,plain,
% 14.29/10.05 ((~always3(s284)) | always3(s285)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23229, 125, 23226])).
% 14.29/10.05 tff(23231,plain,
% 14.29/10.05 (~always3(s284)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23230, 23219])).
% 14.29/10.05 tff(23232,plain,
% 14.29/10.05 (succ(s283, s284) <=> succ(s283, s284)),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23233,axiom,(succ(s283, s284)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound284')).
% 14.29/10.05 tff(23234,plain,
% 14.29/10.05 (succ(s283, s284)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23233, 23232])).
% 14.29/10.05 tff(23235,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23236,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23237,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23236, 23235])).
% 14.29/10.05 tff(23238,plain,
% 14.29/10.05 (trans(s283, s284)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23237, 23234, 52])).
% 14.29/10.05 tff(23239,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s283, s284)) | (~always3(s283)) | always3(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s283, s284)) | (~always3(s283)) | always3(s284))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23240,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s283, s284)) | (~always3(s283)) | always3(s284))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23241,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s283, s284)) | (~always3(s283)) | always3(s284)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23240, 23239])).
% 14.29/10.05 tff(23242,plain,
% 14.29/10.05 ((~always3(s283)) | always3(s284)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23241, 125, 23238])).
% 14.29/10.05 tff(23243,plain,
% 14.29/10.05 (~always3(s283)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23242, 23231])).
% 14.29/10.05 tff(23244,plain,
% 14.29/10.05 (succ(s282, s283) <=> succ(s282, s283)),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23245,axiom,(succ(s282, s283)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound283')).
% 14.29/10.05 tff(23246,plain,
% 14.29/10.05 (succ(s282, s283)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23245, 23244])).
% 14.29/10.05 tff(23247,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23248,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23249,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23248, 23247])).
% 14.29/10.05 tff(23250,plain,
% 14.29/10.05 (trans(s282, s283)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23249, 23246, 52])).
% 14.29/10.05 tff(23251,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s282, s283)) | (~always3(s282)) | always3(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s282, s283)) | (~always3(s282)) | always3(s283))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23252,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s282, s283)) | (~always3(s282)) | always3(s283))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23253,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s282, s283)) | (~always3(s282)) | always3(s283)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23252, 23251])).
% 14.29/10.05 tff(23254,plain,
% 14.29/10.05 ((~always3(s282)) | always3(s283)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23253, 125, 23250])).
% 14.29/10.05 tff(23255,plain,
% 14.29/10.05 (~always3(s282)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23254, 23243])).
% 14.29/10.05 tff(23256,plain,
% 14.29/10.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s282) | (~node4(s282)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s282) | (~node4(s282)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23257,plain,
% 14.29/10.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s282) | (~node4(s282)))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23258,plain,
% 14.29/10.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s282) | (~node4(s282))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23257, 23256])).
% 14.29/10.05 tff(23259,plain,
% 14.29/10.05 (~node4(s282)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23258, 36, 23255])).
% 14.29/10.05 tff(23260,plain,
% 14.29/10.05 (succ(s281, s282) <=> succ(s281, s282)),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23261,axiom,(succ(s281, s282)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound282')).
% 14.29/10.05 tff(23262,plain,
% 14.29/10.05 (succ(s281, s282)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23261, 23260])).
% 14.29/10.05 tff(23263,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23264,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23265,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23264, 23263])).
% 14.29/10.05 tff(23266,plain,
% 14.29/10.05 (trans(s281, s282)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23265, 23262, 52])).
% 14.29/10.05 tff(23267,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s281, s282)) | (~always3(s281)) | always3(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s281, s282)) | (~always3(s281)) | always3(s282))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23268,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s281, s282)) | (~always3(s281)) | always3(s282))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23269,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s281, s282)) | (~always3(s281)) | always3(s282)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23268, 23267])).
% 14.29/10.05 tff(23270,plain,
% 14.29/10.05 ((~always3(s281)) | always3(s282)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23269, 125, 23266])).
% 14.29/10.05 tff(23271,plain,
% 14.29/10.05 (~always3(s281)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23270, 23255])).
% 14.29/10.05 tff(23272,plain,
% 14.29/10.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s281) | (~node4(s281)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s281) | (~node4(s281)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23273,plain,
% 14.29/10.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s281) | (~node4(s281)))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23274,plain,
% 14.29/10.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s281) | (~node4(s281))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 14.29/10.05 tff(23275,plain,
% 14.29/10.05 (~node4(s281)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23274, 36, 23271])).
% 14.29/10.05 tff(23276,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s281) | node4(s281) | (~until5(s281)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s281) | node4(s281) | (~until5(s281)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23277,plain,
% 14.29/10.05 ((node4(s281) | (~until5(s281)) | xuntil6(s281)) <=> (xuntil6(s281) | node4(s281) | (~until5(s281)))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23278,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s281) | (~until5(s281)) | xuntil6(s281))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s281) | node4(s281) | (~until5(s281))))),
% 14.29/10.05 inference(monotonicity,[status(thm)],[23277])).
% 14.29/10.05 tff(23279,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s281) | (~until5(s281)) | xuntil6(s281))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s281) | node4(s281) | (~until5(s281)))),
% 14.29/10.05 inference(transitivity,[status(thm)],[23278, 23276])).
% 14.29/10.05 tff(23280,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s281) | (~until5(s281)) | xuntil6(s281))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23281,plain,
% 14.29/10.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s281) | node4(s281) | (~until5(s281))),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23280, 23279])).
% 14.29/10.05 tff(23282,plain,
% 14.29/10.05 (xuntil6(s281) | node4(s281)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23281, 294, 22720])).
% 14.29/10.05 tff(23283,plain,
% 14.29/10.05 (xuntil6(s281)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23282, 23275])).
% 14.29/10.05 tff(23284,plain,
% 14.29/10.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282))),
% 14.29/10.05 inference(rewrite,[status(thm)],[])).
% 14.29/10.05 tff(23285,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282))),
% 14.29/10.05 inference(quant_inst,[status(thm)],[])).
% 14.29/10.05 tff(23286,plain,
% 14.29/10.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282)),
% 14.29/10.05 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 14.29/10.05 tff(23287,plain,
% 14.29/10.05 ((~xuntil6(s281)) | until5(s282)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23286, 23262, 312])).
% 14.29/10.05 tff(23288,plain,
% 14.29/10.05 (until5(s282)),
% 14.29/10.05 inference(unit_resolution,[status(thm)],[23287, 23283])).
% 14.29/10.05 tff(23289,plain,
% 14.29/10.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s282) | node4(s282) | (~until5(s282)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s282) | node4(s282) | (~until5(s282)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23290,plain,
% 14.29/10.06 ((node4(s282) | (~until5(s282)) | xuntil6(s282)) <=> (xuntil6(s282) | node4(s282) | (~until5(s282)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23291,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s282) | (~until5(s282)) | xuntil6(s282))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s282) | node4(s282) | (~until5(s282))))),
% 14.29/10.06 inference(monotonicity,[status(thm)],[23290])).
% 14.29/10.06 tff(23292,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s282) | (~until5(s282)) | xuntil6(s282))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s282) | node4(s282) | (~until5(s282)))),
% 14.29/10.06 inference(transitivity,[status(thm)],[23291, 23289])).
% 14.29/10.06 tff(23293,plain,
% 14.29/10.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s282) | (~until5(s282)) | xuntil6(s282))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23294,plain,
% 14.29/10.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s282) | node4(s282) | (~until5(s282))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 14.29/10.06 tff(23295,plain,
% 14.29/10.06 (xuntil6(s282)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23294, 294, 23288, 23259])).
% 14.29/10.06 tff(23296,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23297,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23298,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 14.29/10.06 tff(23299,plain,
% 14.29/10.06 ((~xuntil6(s282)) | until5(s283)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23298, 23246, 312])).
% 14.29/10.06 tff(23300,plain,
% 14.29/10.06 (until5(s283)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23299, 23295])).
% 14.29/10.06 tff(23301,plain,
% 14.29/10.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s283) | (~node4(s283)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s283) | (~node4(s283)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23302,plain,
% 14.29/10.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s283) | (~node4(s283)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23303,plain,
% 14.29/10.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s283) | (~node4(s283))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23302, 23301])).
% 14.29/10.06 tff(23304,plain,
% 14.29/10.06 (~node4(s283)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23303, 36, 23243])).
% 14.29/10.06 tff(23305,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s283) | node4(s283) | (~until5(s283)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s283) | node4(s283) | (~until5(s283)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23306,plain,
% 14.29/10.06 ((node4(s283) | (~until5(s283)) | xuntil6(s283)) <=> (xuntil6(s283) | node4(s283) | (~until5(s283)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23307,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s283) | (~until5(s283)) | xuntil6(s283))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s283) | node4(s283) | (~until5(s283))))),
% 14.29/10.06 inference(monotonicity,[status(thm)],[23306])).
% 14.29/10.06 tff(23308,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s283) | (~until5(s283)) | xuntil6(s283))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s283) | node4(s283) | (~until5(s283)))),
% 14.29/10.06 inference(transitivity,[status(thm)],[23307, 23305])).
% 14.29/10.06 tff(23309,plain,
% 14.29/10.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s283) | (~until5(s283)) | xuntil6(s283))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23310,plain,
% 14.29/10.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s283) | node4(s283) | (~until5(s283))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23309, 23308])).
% 14.29/10.06 tff(23311,plain,
% 14.29/10.06 (xuntil6(s283) | (~until5(s283))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23310, 294, 23304])).
% 14.29/10.06 tff(23312,plain,
% 14.29/10.06 (xuntil6(s283)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23311, 23300])).
% 14.29/10.06 tff(23313,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23314,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23315,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23314, 23313])).
% 14.29/10.06 tff(23316,plain,
% 14.29/10.06 ((~xuntil6(s283)) | until5(s284)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23315, 23234, 312])).
% 14.29/10.06 tff(23317,plain,
% 14.29/10.06 (until5(s284)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23316, 23312])).
% 14.29/10.06 tff(23318,plain,
% 14.29/10.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s284) | (~node4(s284)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s284) | (~node4(s284)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23319,plain,
% 14.29/10.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s284) | (~node4(s284)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23320,plain,
% 14.29/10.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s284) | (~node4(s284))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23319, 23318])).
% 14.29/10.06 tff(23321,plain,
% 14.29/10.06 (~node4(s284)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23320, 36, 23231])).
% 14.29/10.06 tff(23322,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s284) | node4(s284) | (~until5(s284)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s284) | node4(s284) | (~until5(s284)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23323,plain,
% 14.29/10.06 ((node4(s284) | (~until5(s284)) | xuntil6(s284)) <=> (xuntil6(s284) | node4(s284) | (~until5(s284)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23324,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s284) | (~until5(s284)) | xuntil6(s284))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s284) | node4(s284) | (~until5(s284))))),
% 14.29/10.06 inference(monotonicity,[status(thm)],[23323])).
% 14.29/10.06 tff(23325,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s284) | (~until5(s284)) | xuntil6(s284))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s284) | node4(s284) | (~until5(s284)))),
% 14.29/10.06 inference(transitivity,[status(thm)],[23324, 23322])).
% 14.29/10.06 tff(23326,plain,
% 14.29/10.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s284) | (~until5(s284)) | xuntil6(s284))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23327,plain,
% 14.29/10.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s284) | node4(s284) | (~until5(s284))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23326, 23325])).
% 14.29/10.06 tff(23328,plain,
% 14.29/10.06 (xuntil6(s284) | (~until5(s284))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23327, 294, 23321])).
% 14.29/10.06 tff(23329,plain,
% 14.29/10.06 (xuntil6(s284)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23328, 23317])).
% 14.29/10.06 tff(23330,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23331,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23332,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23331, 23330])).
% 14.29/10.06 tff(23333,plain,
% 14.29/10.06 ((~xuntil6(s284)) | until5(s285)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23332, 23222, 312])).
% 14.29/10.06 tff(23334,plain,
% 14.29/10.06 (until5(s285)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23333, 23329])).
% 14.29/10.06 tff(23335,plain,
% 14.29/10.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s285) | (~node4(s285)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s285) | (~node4(s285)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23336,plain,
% 14.29/10.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s285) | (~node4(s285)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23337,plain,
% 14.29/10.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s285) | (~node4(s285))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23336, 23335])).
% 14.29/10.06 tff(23338,plain,
% 14.29/10.06 (~node4(s285)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23337, 36, 23219])).
% 14.29/10.06 tff(23339,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s285) | node4(s285) | (~until5(s285)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s285) | node4(s285) | (~until5(s285)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23340,plain,
% 14.29/10.06 ((node4(s285) | (~until5(s285)) | xuntil6(s285)) <=> (xuntil6(s285) | node4(s285) | (~until5(s285)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23341,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s285) | (~until5(s285)) | xuntil6(s285))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s285) | node4(s285) | (~until5(s285))))),
% 14.29/10.06 inference(monotonicity,[status(thm)],[23340])).
% 14.29/10.06 tff(23342,plain,
% 14.29/10.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s285) | (~until5(s285)) | xuntil6(s285))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s285) | node4(s285) | (~until5(s285)))),
% 14.29/10.06 inference(transitivity,[status(thm)],[23341, 23339])).
% 14.29/10.06 tff(23343,plain,
% 14.29/10.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s285) | (~until5(s285)) | xuntil6(s285))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23344,plain,
% 14.29/10.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s285) | node4(s285) | (~until5(s285))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23343, 23342])).
% 14.29/10.06 tff(23345,plain,
% 14.29/10.06 (xuntil6(s285) | (~until5(s285))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23344, 294, 23338])).
% 14.29/10.06 tff(23346,plain,
% 14.29/10.06 ($false),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23345, 23334, 23210])).
% 14.29/10.06 tff(23347,plain,(always3(s301) | (~until5(s281)) | xuntil6(s301)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.06 tff(23348,plain,
% 14.29/10.06 (always3(s301)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23347, 22720, 22721])).
% 14.29/10.06 tff(23349,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s301)) | (~m_main_v_state(s301, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s301)) | (~m_main_v_state(s301, c_busy)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23350,plain,
% 14.29/10.06 (((~m_main_v_state(s301, c_busy)) | (~always3(s301))) <=> ((~always3(s301)) | (~m_main_v_state(s301, c_busy)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23351,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s301, c_busy)) | (~always3(s301)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s301)) | (~m_main_v_state(s301, c_busy))))),
% 14.29/10.06 inference(monotonicity,[status(thm)],[23350])).
% 14.29/10.06 tff(23352,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s301, c_busy)) | (~always3(s301)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s301)) | (~m_main_v_state(s301, c_busy)))),
% 14.29/10.06 inference(transitivity,[status(thm)],[23351, 23349])).
% 14.29/10.06 tff(23353,plain,
% 14.29/10.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s301, c_busy)) | (~always3(s301)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23354,plain,
% 14.29/10.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s301)) | (~m_main_v_state(s301, c_busy))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23353, 23352])).
% 14.29/10.06 tff(23355,plain,
% 14.29/10.06 (~m_main_v_state(s301, c_busy)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23354, 85, 23348])).
% 14.29/10.06 tff(23356,assumption,(~m_main_v_state(s301, c_busy)), introduced(assumption)).
% 14.29/10.06 tff(23357,assumption,(node4(s300)), introduced(assumption)).
% 14.29/10.06 tff(23358,plain,
% 14.29/10.06 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s300) | (~node4(s300)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s300) | (~node4(s300)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23359,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s300) | (~node4(s300)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23360,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s300) | (~node4(s300))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23359, 23358])).
% 14.29/10.06 tff(23361,plain,
% 14.29/10.06 (m_main_v_request(s300)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23360, 21, 23357])).
% 14.29/10.06 tff(23362,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s300, s301)) | node2(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s300, s301)) | node2(s300, s301))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23363,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s300, s301)) | node2(s300, s301))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23364,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s300, s301)) | node2(s300, s301)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23363, 23362])).
% 14.29/10.06 tff(23365,plain,
% 14.29/10.06 (node2(s300, s301)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23364, 7, 22729])).
% 14.29/10.06 tff(23366,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s300, c_ready)) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s300, c_ready)) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23367,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s300, c_ready)) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23368,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s300, c_ready)) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23367, 23366])).
% 14.29/10.06 tff(23369,plain,
% 14.29/10.06 ((~m_main_v_state(s300, c_ready)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23368, 73, 23365])).
% 14.29/10.06 tff(23370,plain,
% 14.29/10.06 (~m_main_v_state(s300, c_ready)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23369, 23361, 23356])).
% 14.29/10.06 tff(23371,plain,
% 14.29/10.06 (always3(s300)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22889, 36, 23357])).
% 14.29/10.06 tff(23372,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s300)) | (~m_main_v_state(s300, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s300)) | (~m_main_v_state(s300, c_busy)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23373,plain,
% 14.29/10.06 (((~m_main_v_state(s300, c_busy)) | (~always3(s300))) <=> ((~always3(s300)) | (~m_main_v_state(s300, c_busy)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23374,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s300, c_busy)) | (~always3(s300)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s300)) | (~m_main_v_state(s300, c_busy))))),
% 14.29/10.06 inference(monotonicity,[status(thm)],[23373])).
% 14.29/10.06 tff(23375,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s300, c_busy)) | (~always3(s300)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s300)) | (~m_main_v_state(s300, c_busy)))),
% 14.29/10.06 inference(transitivity,[status(thm)],[23374, 23372])).
% 14.29/10.06 tff(23376,plain,
% 14.29/10.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s300, c_busy)) | (~always3(s300)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23377,plain,
% 14.29/10.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s300)) | (~m_main_v_state(s300, c_busy))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23376, 23375])).
% 14.29/10.06 tff(23378,plain,
% 14.29/10.06 (~m_main_v_state(s300, c_busy)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23377, 85, 23371])).
% 14.29/10.06 tff(23379,plain,
% 14.29/10.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s300, c_busy) | m_main_v_state(s300, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s300, c_busy) | m_main_v_state(s300, c_ready))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23380,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s300, c_busy) | m_main_v_state(s300, c_ready))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23381,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s300, c_busy) | m_main_v_state(s300, c_ready)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23380, 23379])).
% 14.29/10.06 tff(23382,plain,
% 14.29/10.06 ($false),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23381, 102, 23378, 23370])).
% 14.29/10.06 tff(23383,plain,((~node4(s300)) | m_main_v_state(s301, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.06 tff(23384,plain,
% 14.29/10.06 (~node4(s300)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23383, 23355])).
% 14.29/10.06 tff(23385,plain,
% 14.29/10.06 (succ(s301, s302) <=> succ(s301, s302)),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23386,axiom,(succ(s301, s302)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound302')).
% 14.29/10.06 tff(23387,plain,
% 14.29/10.06 (succ(s301, s302)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23386, 23385])).
% 14.29/10.06 tff(23388,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23389,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23390,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23389, 23388])).
% 14.29/10.06 tff(23391,plain,
% 14.29/10.06 (trans(s301, s302)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23390, 23387, 52])).
% 14.29/10.06 tff(23392,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s301, s302)) | (~always3(s301)) | always3(s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s301, s302)) | (~always3(s301)) | always3(s302))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23393,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s301, s302)) | (~always3(s301)) | always3(s302))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23394,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s301, s302)) | (~always3(s301)) | always3(s302)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23393, 23392])).
% 14.29/10.06 tff(23395,plain,
% 14.29/10.06 ((~always3(s301)) | always3(s302)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23394, 125, 23391])).
% 14.29/10.06 tff(23396,plain,
% 14.29/10.06 (always3(s302)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23395, 23348])).
% 14.29/10.06 tff(23397,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s302)) | (~m_main_v_state(s302, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s302)) | (~m_main_v_state(s302, c_busy)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23398,plain,
% 14.29/10.06 (((~m_main_v_state(s302, c_busy)) | (~always3(s302))) <=> ((~always3(s302)) | (~m_main_v_state(s302, c_busy)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23399,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s302, c_busy)) | (~always3(s302)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s302)) | (~m_main_v_state(s302, c_busy))))),
% 14.29/10.06 inference(monotonicity,[status(thm)],[23398])).
% 14.29/10.06 tff(23400,plain,
% 14.29/10.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s302, c_busy)) | (~always3(s302)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s302)) | (~m_main_v_state(s302, c_busy)))),
% 14.29/10.06 inference(transitivity,[status(thm)],[23399, 23397])).
% 14.29/10.06 tff(23401,plain,
% 14.29/10.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s302, c_busy)) | (~always3(s302)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23402,plain,
% 14.29/10.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s302)) | (~m_main_v_state(s302, c_busy))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23401, 23400])).
% 14.29/10.06 tff(23403,plain,
% 14.29/10.06 (~m_main_v_state(s302, c_busy)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23402, 85, 23396])).
% 14.29/10.06 tff(23404,assumption,(~m_main_v_state(s301, c_ready)), introduced(assumption)).
% 14.29/10.06 tff(23405,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s300, s301)) | m_main_v_state(s301, c_busy) | node1(s300) | m_main_v_state(s301, 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(s300, s301)) | m_main_v_state(s301, c_busy) | node1(s300) | m_main_v_state(s301, c_ready))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23406,plain,
% 14.29/10.06 ((node1(s300) | m_main_v_state(s301, c_ready) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy)) <=> ((~node2(s300, s301)) | m_main_v_state(s301, c_busy) | node1(s300) | m_main_v_state(s301, c_ready))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23407,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s300) | m_main_v_state(s301, c_ready) | (~node2(s300, s301)) | m_main_v_state(s301, 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(s300, s301)) | m_main_v_state(s301, c_busy) | node1(s300) | m_main_v_state(s301, c_ready)))),
% 14.29/10.06 inference(monotonicity,[status(thm)],[23406])).
% 14.29/10.06 tff(23408,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s300) | m_main_v_state(s301, c_ready) | (~node2(s300, s301)) | m_main_v_state(s301, 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(s300, s301)) | m_main_v_state(s301, c_busy) | node1(s300) | m_main_v_state(s301, c_ready))),
% 14.29/10.06 inference(transitivity,[status(thm)],[23407, 23405])).
% 14.29/10.06 tff(23409,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s300) | m_main_v_state(s301, c_ready) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23410,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | node1(s300) | m_main_v_state(s301, c_ready)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23409, 23408])).
% 14.29/10.06 tff(23411,plain,
% 14.29/10.06 (m_main_v_state(s301, c_busy) | node1(s300) | m_main_v_state(s301, c_ready)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23410, 3551, 23365])).
% 14.29/10.06 tff(23412,plain,
% 14.29/10.06 (node1(s300)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23411, 23356, 23404])).
% 14.29/10.06 tff(23413,plain,
% 14.29/10.06 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s300, c_ready) | (~node1(s300)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s300, c_ready) | (~node1(s300)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23414,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s300, c_ready) | (~node1(s300)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23415,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s300, c_ready) | (~node1(s300))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23414, 23413])).
% 14.29/10.06 tff(23416,plain,
% 14.29/10.06 (m_main_v_state(s300, c_ready)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23415, 3581, 23412])).
% 14.29/10.06 tff(23417,plain,
% 14.29/10.06 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s300) | (~node1(s300)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s300) | (~node1(s300)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23418,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s300) | (~node1(s300)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23419,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s300) | (~node1(s300))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23418, 23417])).
% 14.29/10.06 tff(23420,plain,
% 14.29/10.06 (m_main_v_request(s300)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23419, 3568, 23412])).
% 14.29/10.06 tff(23421,plain,
% 14.29/10.06 ($false),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23369, 23420, 23416, 23356])).
% 14.29/10.06 tff(23422,plain,(m_main_v_state(s301, c_busy) | m_main_v_state(s301, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.06 tff(23423,plain,
% 14.29/10.06 (m_main_v_state(s301, c_ready)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23422, 23355])).
% 14.29/10.06 tff(23424,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s301, s302)) | node2(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s301, s302)) | node2(s301, s302))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23425,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s301, s302)) | node2(s301, s302))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23426,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s301, s302)) | node2(s301, s302)),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 14.29/10.06 tff(23427,plain,
% 14.29/10.06 (node2(s301, s302)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23426, 7, 23391])).
% 14.29/10.06 tff(23428,plain,
% 14.29/10.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s301, c_ready)) | (~node2(s301, s302)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s301, c_ready)) | (~node2(s301, s302)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23429,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s301, c_ready)) | (~node2(s301, s302)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23430,plain,
% 14.29/10.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s301, c_ready)) | (~node2(s301, s302)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23429, 23428])).
% 14.29/10.06 tff(23431,plain,
% 14.29/10.06 ((~m_main_v_state(s301, c_ready)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23430, 73, 23427])).
% 14.29/10.06 tff(23432,plain,
% 14.29/10.06 (~m_main_v_request(s301)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23431, 23423, 23403])).
% 14.29/10.06 tff(23433,plain,
% 14.29/10.06 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s301) | (~node4(s301)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s301) | (~node4(s301)))),
% 14.29/10.06 inference(rewrite,[status(thm)],[])).
% 14.29/10.06 tff(23434,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s301) | (~node4(s301)))),
% 14.29/10.06 inference(quant_inst,[status(thm)],[])).
% 14.29/10.06 tff(23435,plain,
% 14.29/10.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s301) | (~node4(s301))),
% 14.29/10.06 inference(modus_ponens,[status(thm)],[23434, 23433])).
% 14.29/10.06 tff(23436,plain,
% 14.29/10.06 (~node4(s301)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23435, 21, 23432])).
% 14.29/10.06 tff(23437,plain,
% 14.29/10.06 (~until5(s301)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22901, 23436])).
% 14.29/10.06 tff(23438,plain,
% 14.29/10.06 (~xuntil6(s300)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22906, 23437])).
% 14.29/10.06 tff(23439,plain,
% 14.29/10.06 (node4(s300) | (~until5(s300))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22913, 294, 23438])).
% 14.29/10.06 tff(23440,plain,
% 14.29/10.06 (~until5(s300)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23439, 23384])).
% 14.29/10.06 tff(23441,plain,
% 14.29/10.06 (~xuntil6(s299)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22918, 23440])).
% 14.29/10.06 tff(23442,assumption,(~always3(s299)), introduced(assumption)).
% 14.29/10.06 tff(23443,plain,
% 14.29/10.06 (~always3(s298)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22757, 23442])).
% 14.29/10.06 tff(23444,plain,
% 14.29/10.06 (~always3(s297)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22769, 23443])).
% 14.29/10.06 tff(23445,plain,
% 14.29/10.06 (~always3(s296)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22781, 23444])).
% 14.29/10.06 tff(23446,plain,
% 14.29/10.06 (~always3(s295)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22793, 23445])).
% 14.29/10.06 tff(23447,plain,
% 14.29/10.06 (~always3(s294)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22805, 23446])).
% 14.29/10.06 tff(23448,plain,
% 14.29/10.06 (~always3(s293)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22817, 23447])).
% 14.29/10.06 tff(23449,plain,
% 14.29/10.06 (~node4(s298)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22939, 36, 23443])).
% 14.29/10.06 tff(23450,plain,
% 14.29/10.06 (~node4(s299)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22922, 36, 23442])).
% 14.29/10.06 tff(23451,assumption,(~xuntil6(s299)), introduced(assumption)).
% 14.29/10.06 tff(23452,plain,
% 14.29/10.06 (node4(s299) | (~until5(s299))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22929, 294, 23451])).
% 14.29/10.06 tff(23453,plain,
% 14.29/10.06 (~until5(s299)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23452, 23450])).
% 14.29/10.06 tff(23454,plain,
% 14.29/10.06 (~xuntil6(s298)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22935, 23453])).
% 14.29/10.06 tff(23455,plain,
% 14.29/10.06 (~until5(s298)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22946, 294, 23454, 23449])).
% 14.29/10.06 tff(23456,plain,
% 14.29/10.06 (~xuntil6(s297)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22952, 23455])).
% 14.29/10.06 tff(23457,plain,
% 14.29/10.06 (~node4(s297)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22956, 36, 23444])).
% 14.29/10.06 tff(23458,plain,
% 14.29/10.06 (xuntil6(s297) | (~until5(s297))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22963, 294, 23457])).
% 14.29/10.06 tff(23459,plain,
% 14.29/10.06 (~until5(s297)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23458, 23456])).
% 14.29/10.06 tff(23460,plain,
% 14.29/10.06 (~xuntil6(s296)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22969, 23459])).
% 14.29/10.06 tff(23461,plain,
% 14.29/10.06 (~node4(s296)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23058, 36, 23445])).
% 14.29/10.06 tff(23462,plain,
% 14.29/10.06 (xuntil6(s296) | (~until5(s296))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23065, 294, 23461])).
% 14.29/10.06 tff(23463,plain,
% 14.29/10.06 (~until5(s296)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23462, 23460])).
% 14.29/10.06 tff(23464,plain,
% 14.29/10.06 (~xuntil6(s295)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23054, 23463])).
% 14.29/10.06 tff(23465,plain,
% 14.29/10.06 (~node4(s295)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23041, 36, 23446])).
% 14.29/10.06 tff(23466,plain,
% 14.29/10.06 (xuntil6(s295) | (~until5(s295))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23048, 294, 23465])).
% 14.29/10.06 tff(23467,plain,
% 14.29/10.06 (~until5(s295)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23466, 23464])).
% 14.29/10.06 tff(23468,plain,
% 14.29/10.06 (~xuntil6(s294)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23037, 23467])).
% 14.29/10.06 tff(23469,plain,
% 14.29/10.06 (~node4(s294)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23024, 36, 23447])).
% 14.29/10.06 tff(23470,plain,
% 14.29/10.06 (xuntil6(s294) | (~until5(s294))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23031, 294, 23469])).
% 14.29/10.06 tff(23471,plain,
% 14.29/10.06 (~until5(s294)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23470, 23468])).
% 14.29/10.06 tff(23472,plain,
% 14.29/10.06 (~xuntil6(s293)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23020, 23471])).
% 14.29/10.06 tff(23473,assumption,(~always3(s293)), introduced(assumption)).
% 14.29/10.06 tff(23474,plain,
% 14.29/10.06 (~always3(s292)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22829, 23473])).
% 14.29/10.06 tff(23475,plain,
% 14.29/10.06 (~node4(s292)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22973, 36, 23474])).
% 14.29/10.06 tff(23476,plain,
% 14.29/10.06 (~node4(s293)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23007, 36, 23473])).
% 14.29/10.06 tff(23477,assumption,(~xuntil6(s293)), introduced(assumption)).
% 14.29/10.06 tff(23478,plain,
% 14.29/10.06 (node4(s293) | (~until5(s293))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23014, 294, 23477])).
% 14.29/10.06 tff(23479,plain,
% 14.29/10.06 (~until5(s293)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23478, 23476])).
% 14.29/10.06 tff(23480,plain,
% 14.29/10.06 (~xuntil6(s292)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23003, 23479])).
% 14.29/10.06 tff(23481,plain,
% 14.29/10.06 (~always3(s291)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22841, 23474])).
% 14.29/10.06 tff(23482,plain,
% 14.29/10.06 (~node4(s291)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22977, 36, 23481])).
% 14.29/10.06 tff(23483,plain,
% 14.29/10.06 (xuntil6(s291)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22986, 23482])).
% 14.29/10.06 tff(23484,plain,
% 14.29/10.06 (until5(s292)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22991, 23483])).
% 14.29/10.06 tff(23485,plain,
% 14.29/10.06 ($false),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22998, 294, 23484, 23480, 23475])).
% 14.29/10.06 tff(23486,plain,(always3(s293) | (~until5(s291)) | xuntil6(s293)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.06 tff(23487,plain,
% 14.29/10.06 (~until5(s291)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23486, 23472, 23448])).
% 14.29/10.06 tff(23488,plain,
% 14.29/10.06 (~xuntil6(s290)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23073, 23487])).
% 14.29/10.06 tff(23489,plain,
% 14.29/10.06 (~always3(s292)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22829, 23448])).
% 14.29/10.06 tff(23490,plain,
% 14.29/10.06 (~always3(s291)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22841, 23489])).
% 14.29/10.06 tff(23491,plain,
% 14.29/10.06 (~always3(s290)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22853, 23490])).
% 14.29/10.06 tff(23492,plain,
% 14.29/10.06 (~node4(s290)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22885, 36, 23491])).
% 14.29/10.06 tff(23493,plain,
% 14.29/10.06 (xuntil6(s290) | (~until5(s290))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23080, 294, 23492])).
% 14.29/10.06 tff(23494,plain,
% 14.29/10.06 (~until5(s290)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23493, 23488])).
% 14.29/10.06 tff(23495,plain,
% 14.29/10.06 (~xuntil6(s289)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23085, 23494])).
% 14.29/10.06 tff(23496,plain,
% 14.29/10.06 (~always3(s289)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22865, 23491])).
% 14.29/10.06 tff(23497,plain,
% 14.29/10.06 (~always3(s288)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22877, 23496])).
% 14.29/10.06 tff(23498,plain,
% 14.29/10.06 (~always3(s287)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23160, 23497])).
% 14.29/10.06 tff(23499,plain,
% 14.29/10.06 (~always3(s286)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23189, 23498])).
% 14.29/10.06 tff(23500,plain,
% 14.29/10.06 (~always3(s285)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23218, 23499])).
% 14.29/10.06 tff(23501,plain,
% 14.29/10.06 (~always3(s284)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23230, 23500])).
% 14.29/10.06 tff(23502,plain,
% 14.29/10.06 (~always3(s283)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23242, 23501])).
% 14.29/10.06 tff(23503,plain,
% 14.29/10.06 (~always3(s282)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23254, 23502])).
% 14.29/10.06 tff(23504,plain,
% 14.29/10.06 (~node4(s282)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23258, 36, 23503])).
% 14.29/10.06 tff(23505,plain,
% 14.29/10.06 (~always3(s281)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23270, 23503])).
% 14.29/10.06 tff(23506,plain,
% 14.29/10.06 (~node4(s281)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23274, 36, 23505])).
% 14.29/10.06 tff(23507,plain,
% 14.29/10.06 (xuntil6(s281)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23282, 23506])).
% 14.29/10.06 tff(23508,plain,
% 14.29/10.06 (until5(s282)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23287, 23507])).
% 14.29/10.06 tff(23509,plain,
% 14.29/10.06 (xuntil6(s282)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23294, 294, 23508, 23504])).
% 14.29/10.06 tff(23510,plain,
% 14.29/10.06 (until5(s283)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23299, 23509])).
% 14.29/10.06 tff(23511,plain,
% 14.29/10.06 (~node4(s283)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23303, 36, 23502])).
% 14.29/10.06 tff(23512,plain,
% 14.29/10.06 (xuntil6(s283) | (~until5(s283))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23310, 294, 23511])).
% 14.29/10.06 tff(23513,plain,
% 14.29/10.06 (xuntil6(s283)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23512, 23510])).
% 14.29/10.06 tff(23514,plain,
% 14.29/10.06 (until5(s284)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23316, 23513])).
% 14.29/10.06 tff(23515,plain,
% 14.29/10.06 (~node4(s284)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23320, 36, 23501])).
% 14.29/10.06 tff(23516,plain,
% 14.29/10.06 (xuntil6(s284) | (~until5(s284))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23327, 294, 23515])).
% 14.29/10.06 tff(23517,plain,
% 14.29/10.06 (xuntil6(s284)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23516, 23514])).
% 14.29/10.06 tff(23518,plain,
% 14.29/10.06 (until5(s285)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23333, 23517])).
% 14.29/10.06 tff(23519,plain,
% 14.29/10.06 (~node4(s285)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23337, 36, 23500])).
% 14.29/10.06 tff(23520,plain,
% 14.29/10.06 (xuntil6(s285) | (~until5(s285))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23344, 294, 23519])).
% 14.29/10.06 tff(23521,plain,
% 14.29/10.06 (xuntil6(s285)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23520, 23518])).
% 14.29/10.06 tff(23522,plain,
% 14.29/10.06 (until5(s286)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23209, 23521])).
% 14.29/10.06 tff(23523,plain,
% 14.29/10.06 (~node4(s286)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23193, 36, 23499])).
% 14.29/10.06 tff(23524,plain,
% 14.29/10.06 (xuntil6(s286) | (~until5(s286))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23200, 294, 23523])).
% 14.29/10.06 tff(23525,plain,
% 14.29/10.06 (xuntil6(s286)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23524, 23522])).
% 14.29/10.06 tff(23526,plain,
% 14.29/10.06 (until5(s287)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23180, 23525])).
% 14.29/10.06 tff(23527,plain,
% 14.29/10.06 (~node4(s287)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23164, 36, 23498])).
% 14.29/10.06 tff(23528,plain,
% 14.29/10.06 (xuntil6(s287) | (~until5(s287))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23171, 294, 23527])).
% 14.29/10.06 tff(23529,plain,
% 14.29/10.06 (xuntil6(s287)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23528, 23526])).
% 14.29/10.06 tff(23530,plain,
% 14.29/10.06 (until5(s288)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23151, 23529])).
% 14.29/10.06 tff(23531,plain,
% 14.29/10.06 (~node4(s288)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[22881, 36, 23497])).
% 14.29/10.06 tff(23532,plain,
% 14.29/10.06 (xuntil6(s288) | (~until5(s288))),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23143, 294, 23531])).
% 14.29/10.06 tff(23533,plain,
% 14.29/10.06 (xuntil6(s288)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23532, 23530])).
% 14.29/10.06 tff(23534,plain,
% 14.29/10.06 (until5(s289)),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23136, 23533])).
% 14.29/10.06 tff(23535,plain,
% 14.29/10.06 ($false),
% 14.29/10.06 inference(unit_resolution,[status(thm)],[23131, 23534, 23495])).
% 14.29/10.06 tff(23536,plain,(always3(s299) | (~until5(s281)) | xuntil6(s299)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.07 tff(23537,plain,
% 14.29/10.07 (always3(s299)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23536, 22720, 23441])).
% 14.29/10.07 tff(23538,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s299)) | (~m_main_v_state(s299, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s299)) | (~m_main_v_state(s299, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23539,plain,
% 14.29/10.07 (((~m_main_v_state(s299, c_busy)) | (~always3(s299))) <=> ((~always3(s299)) | (~m_main_v_state(s299, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23540,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s299, c_busy)) | (~always3(s299)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s299)) | (~m_main_v_state(s299, c_busy))))),
% 14.29/10.07 inference(monotonicity,[status(thm)],[23539])).
% 14.29/10.07 tff(23541,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s299, c_busy)) | (~always3(s299)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s299)) | (~m_main_v_state(s299, c_busy)))),
% 14.29/10.07 inference(transitivity,[status(thm)],[23540, 23538])).
% 14.29/10.07 tff(23542,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s299, c_busy)) | (~always3(s299)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23543,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s299)) | (~m_main_v_state(s299, c_busy))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23542, 23541])).
% 14.29/10.07 tff(23544,plain,
% 14.29/10.07 (~m_main_v_state(s299, c_busy)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23543, 85, 23537])).
% 14.29/10.07 tff(23545,assumption,(~m_main_v_state(s299, c_busy)), introduced(assumption)).
% 14.29/10.07 tff(23546,assumption,(node4(s298)), introduced(assumption)).
% 14.29/10.07 tff(23547,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s298) | (~node4(s298)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s298) | (~node4(s298)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23548,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s298) | (~node4(s298)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23549,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s298) | (~node4(s298))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23548, 23547])).
% 14.29/10.07 tff(23550,plain,
% 14.29/10.07 (m_main_v_request(s298)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23549, 21, 23546])).
% 14.29/10.07 tff(23551,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s298, s299)) | node2(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s298, s299)) | node2(s298, s299))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23552,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s298, s299)) | node2(s298, s299))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23553,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s298, s299)) | node2(s298, s299)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23552, 23551])).
% 14.29/10.07 tff(23554,plain,
% 14.29/10.07 (node2(s298, s299)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23553, 7, 22753])).
% 14.29/10.07 tff(23555,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s298, c_ready)) | (~node2(s298, s299)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s298, c_ready)) | (~node2(s298, s299)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23556,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s298, c_ready)) | (~node2(s298, s299)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23557,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s298, c_ready)) | (~node2(s298, s299)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23556, 23555])).
% 14.29/10.07 tff(23558,plain,
% 14.29/10.07 ((~m_main_v_state(s298, c_ready)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23557, 73, 23554])).
% 14.29/10.07 tff(23559,plain,
% 14.29/10.07 (~m_main_v_state(s298, c_ready)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23558, 23550, 23545])).
% 14.29/10.07 tff(23560,plain,
% 14.29/10.07 (always3(s298)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22939, 36, 23546])).
% 14.29/10.07 tff(23561,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s298)) | (~m_main_v_state(s298, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s298)) | (~m_main_v_state(s298, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23562,plain,
% 14.29/10.07 (((~m_main_v_state(s298, c_busy)) | (~always3(s298))) <=> ((~always3(s298)) | (~m_main_v_state(s298, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23563,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s298, c_busy)) | (~always3(s298)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s298)) | (~m_main_v_state(s298, c_busy))))),
% 14.29/10.07 inference(monotonicity,[status(thm)],[23562])).
% 14.29/10.07 tff(23564,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s298, c_busy)) | (~always3(s298)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s298)) | (~m_main_v_state(s298, c_busy)))),
% 14.29/10.07 inference(transitivity,[status(thm)],[23563, 23561])).
% 14.29/10.07 tff(23565,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s298, c_busy)) | (~always3(s298)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23566,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s298)) | (~m_main_v_state(s298, c_busy))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23565, 23564])).
% 14.29/10.07 tff(23567,plain,
% 14.29/10.07 (~m_main_v_state(s298, c_busy)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23566, 85, 23560])).
% 14.29/10.07 tff(23568,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23569,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23570,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23569, 23568])).
% 14.29/10.07 tff(23571,plain,
% 14.29/10.07 ($false),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23570, 102, 23567, 23559])).
% 14.29/10.07 tff(23572,plain,((~node4(s298)) | m_main_v_state(s299, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.07 tff(23573,plain,
% 14.29/10.07 (~node4(s298)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23572, 23544])).
% 14.29/10.07 tff(23574,plain,
% 14.29/10.07 (always3(s300)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22745, 23537])).
% 14.29/10.07 tff(23575,plain,
% 14.29/10.07 (~m_main_v_state(s300, c_busy)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23377, 85, 23574])).
% 14.29/10.07 tff(23576,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s299, c_busy) | m_main_v_state(s299, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s299, c_busy) | m_main_v_state(s299, c_ready))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23577,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s299, c_busy) | m_main_v_state(s299, c_ready))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23578,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s299, c_busy) | m_main_v_state(s299, c_ready)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23577, 23576])).
% 14.29/10.07 tff(23579,plain,
% 14.29/10.07 (m_main_v_state(s299, c_ready)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23578, 102, 23544])).
% 14.29/10.07 tff(23580,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s299, s300)) | node2(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s299, s300)) | node2(s299, s300))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23581,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s299, s300)) | node2(s299, s300))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23582,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s299, s300)) | node2(s299, s300)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23581, 23580])).
% 14.29/10.07 tff(23583,plain,
% 14.29/10.07 (node2(s299, s300)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23582, 7, 22741])).
% 14.29/10.07 tff(23584,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s299, c_ready)) | (~node2(s299, s300)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s299, c_ready)) | (~node2(s299, s300)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23585,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s299, c_ready)) | (~node2(s299, s300)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23586,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s299, c_ready)) | (~node2(s299, s300)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23585, 23584])).
% 14.29/10.07 tff(23587,plain,
% 14.29/10.07 ((~m_main_v_state(s299, c_ready)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23586, 73, 23583])).
% 14.29/10.07 tff(23588,plain,
% 14.29/10.07 (~m_main_v_request(s299)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23587, 23579, 23575])).
% 14.29/10.07 tff(23589,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s299) | (~node4(s299)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s299) | (~node4(s299)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23590,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s299) | (~node4(s299)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23591,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s299) | (~node4(s299))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 14.29/10.07 tff(23592,plain,
% 14.29/10.07 (~node4(s299)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23591, 21, 23588])).
% 14.29/10.07 tff(23593,plain,
% 14.29/10.07 (node4(s299) | (~until5(s299))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22929, 294, 23441])).
% 14.29/10.07 tff(23594,plain,
% 14.29/10.07 (~until5(s299)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23593, 23592])).
% 14.29/10.07 tff(23595,plain,
% 14.29/10.07 (~xuntil6(s298)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22935, 23594])).
% 14.29/10.07 tff(23596,plain,
% 14.29/10.07 (node4(s298) | (~until5(s298))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22946, 294, 23595])).
% 14.29/10.07 tff(23597,plain,
% 14.29/10.07 (~until5(s298)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23596, 23573])).
% 14.29/10.07 tff(23598,plain,
% 14.29/10.07 (~xuntil6(s297)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22952, 23597])).
% 14.29/10.07 tff(23599,assumption,(~always3(s297)), introduced(assumption)).
% 14.29/10.07 tff(23600,plain,
% 14.29/10.07 (~always3(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22781, 23599])).
% 14.29/10.07 tff(23601,plain,
% 14.29/10.07 (~always3(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22793, 23600])).
% 14.29/10.07 tff(23602,plain,
% 14.29/10.07 (~always3(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22805, 23601])).
% 14.29/10.07 tff(23603,plain,
% 14.29/10.07 (~always3(s293)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22817, 23602])).
% 14.29/10.07 tff(23604,plain,
% 14.29/10.07 (~node4(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23058, 36, 23600])).
% 14.29/10.07 tff(23605,plain,
% 14.29/10.07 (~node4(s297)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22956, 36, 23599])).
% 14.29/10.07 tff(23606,assumption,(~xuntil6(s297)), introduced(assumption)).
% 14.29/10.07 tff(23607,plain,
% 14.29/10.07 (node4(s297) | (~until5(s297))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22963, 294, 23606])).
% 14.29/10.07 tff(23608,plain,
% 14.29/10.07 (~until5(s297)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23607, 23605])).
% 14.29/10.07 tff(23609,plain,
% 14.29/10.07 (~xuntil6(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22969, 23608])).
% 14.29/10.07 tff(23610,plain,
% 14.29/10.07 (~until5(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23065, 294, 23609, 23604])).
% 14.29/10.07 tff(23611,plain,
% 14.29/10.07 (~xuntil6(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23054, 23610])).
% 14.29/10.07 tff(23612,plain,
% 14.29/10.07 (~node4(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23041, 36, 23601])).
% 14.29/10.07 tff(23613,plain,
% 14.29/10.07 (xuntil6(s295) | (~until5(s295))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23048, 294, 23612])).
% 14.29/10.07 tff(23614,plain,
% 14.29/10.07 (~until5(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23613, 23611])).
% 14.29/10.07 tff(23615,plain,
% 14.29/10.07 (~xuntil6(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23037, 23614])).
% 14.29/10.07 tff(23616,plain,
% 14.29/10.07 (~node4(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23024, 36, 23602])).
% 14.29/10.07 tff(23617,plain,
% 14.29/10.07 (xuntil6(s294) | (~until5(s294))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23031, 294, 23616])).
% 14.29/10.07 tff(23618,plain,
% 14.29/10.07 (~until5(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23617, 23615])).
% 14.29/10.07 tff(23619,plain,
% 14.29/10.07 (~xuntil6(s293)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23020, 23618])).
% 14.29/10.07 tff(23620,plain,
% 14.29/10.07 (~until5(s291)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23486, 23619, 23603])).
% 14.29/10.07 tff(23621,plain,
% 14.29/10.07 (~xuntil6(s290)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23073, 23620])).
% 14.29/10.07 tff(23622,plain,
% 14.29/10.07 (~always3(s292)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22829, 23603])).
% 14.29/10.07 tff(23623,plain,
% 14.29/10.07 (~always3(s291)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22841, 23622])).
% 14.29/10.07 tff(23624,plain,
% 14.29/10.07 (~always3(s290)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22853, 23623])).
% 14.29/10.07 tff(23625,plain,
% 14.29/10.07 (~node4(s290)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22885, 36, 23624])).
% 14.29/10.07 tff(23626,plain,
% 14.29/10.07 (xuntil6(s290) | (~until5(s290))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23080, 294, 23625])).
% 14.29/10.07 tff(23627,plain,
% 14.29/10.07 (~until5(s290)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23626, 23621])).
% 14.29/10.07 tff(23628,plain,
% 14.29/10.07 (~xuntil6(s289)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23085, 23627])).
% 14.29/10.07 tff(23629,plain,
% 14.29/10.07 (~until5(s289)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23131, 23628])).
% 14.29/10.07 tff(23630,plain,
% 14.29/10.07 (~xuntil6(s288)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23136, 23629])).
% 14.29/10.07 tff(23631,plain,
% 14.29/10.07 (~always3(s289)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22865, 23624])).
% 14.29/10.07 tff(23632,plain,
% 14.29/10.07 (~always3(s288)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22877, 23631])).
% 14.29/10.07 tff(23633,plain,
% 14.29/10.07 (~always3(s287)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23160, 23632])).
% 14.29/10.07 tff(23634,plain,
% 14.29/10.07 (~always3(s286)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23189, 23633])).
% 14.29/10.07 tff(23635,plain,
% 14.29/10.07 (~always3(s285)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23218, 23634])).
% 14.29/10.07 tff(23636,plain,
% 14.29/10.07 (~always3(s284)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23230, 23635])).
% 14.29/10.07 tff(23637,plain,
% 14.29/10.07 (~always3(s283)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23242, 23636])).
% 14.29/10.07 tff(23638,plain,
% 14.29/10.07 (~always3(s282)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23254, 23637])).
% 14.29/10.07 tff(23639,plain,
% 14.29/10.07 (~node4(s282)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23258, 36, 23638])).
% 14.29/10.07 tff(23640,plain,
% 14.29/10.07 (~always3(s281)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23270, 23638])).
% 14.29/10.07 tff(23641,plain,
% 14.29/10.07 (~node4(s281)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23274, 36, 23640])).
% 14.29/10.07 tff(23642,plain,
% 14.29/10.07 (xuntil6(s281)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23282, 23641])).
% 14.29/10.07 tff(23643,plain,
% 14.29/10.07 (until5(s282)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23287, 23642])).
% 14.29/10.07 tff(23644,plain,
% 14.29/10.07 (xuntil6(s282)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23294, 294, 23643, 23639])).
% 14.29/10.07 tff(23645,plain,
% 14.29/10.07 (until5(s283)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23299, 23644])).
% 14.29/10.07 tff(23646,plain,
% 14.29/10.07 (~node4(s283)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23303, 36, 23637])).
% 14.29/10.07 tff(23647,plain,
% 14.29/10.07 (xuntil6(s283) | (~until5(s283))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23310, 294, 23646])).
% 14.29/10.07 tff(23648,plain,
% 14.29/10.07 (xuntil6(s283)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23647, 23645])).
% 14.29/10.07 tff(23649,plain,
% 14.29/10.07 (until5(s284)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23316, 23648])).
% 14.29/10.07 tff(23650,plain,
% 14.29/10.07 (~node4(s284)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23320, 36, 23636])).
% 14.29/10.07 tff(23651,plain,
% 14.29/10.07 (xuntil6(s284) | (~until5(s284))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23327, 294, 23650])).
% 14.29/10.07 tff(23652,plain,
% 14.29/10.07 (xuntil6(s284)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23651, 23649])).
% 14.29/10.07 tff(23653,plain,
% 14.29/10.07 (until5(s285)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23333, 23652])).
% 14.29/10.07 tff(23654,plain,
% 14.29/10.07 (~node4(s285)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23337, 36, 23635])).
% 14.29/10.07 tff(23655,plain,
% 14.29/10.07 (xuntil6(s285) | (~until5(s285))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23344, 294, 23654])).
% 14.29/10.07 tff(23656,plain,
% 14.29/10.07 (xuntil6(s285)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23655, 23653])).
% 14.29/10.07 tff(23657,plain,
% 14.29/10.07 (until5(s286)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23209, 23656])).
% 14.29/10.07 tff(23658,plain,
% 14.29/10.07 (~node4(s286)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23193, 36, 23634])).
% 14.29/10.07 tff(23659,plain,
% 14.29/10.07 (xuntil6(s286) | (~until5(s286))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23200, 294, 23658])).
% 14.29/10.07 tff(23660,plain,
% 14.29/10.07 (xuntil6(s286)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23659, 23657])).
% 14.29/10.07 tff(23661,plain,
% 14.29/10.07 (until5(s287)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23180, 23660])).
% 14.29/10.07 tff(23662,plain,
% 14.29/10.07 (~node4(s287)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23164, 36, 23633])).
% 14.29/10.07 tff(23663,plain,
% 14.29/10.07 (xuntil6(s287) | (~until5(s287))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23171, 294, 23662])).
% 14.29/10.07 tff(23664,plain,
% 14.29/10.07 (xuntil6(s287)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23663, 23661])).
% 14.29/10.07 tff(23665,plain,
% 14.29/10.07 (until5(s288)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23151, 23664])).
% 14.29/10.07 tff(23666,plain,
% 14.29/10.07 (~node4(s288)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22881, 36, 23632])).
% 14.29/10.07 tff(23667,plain,
% 14.29/10.07 (xuntil6(s288) | (~until5(s288))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23143, 294, 23666])).
% 14.29/10.07 tff(23668,plain,
% 14.29/10.07 ($false),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23667, 23665, 23630])).
% 14.29/10.07 tff(23669,plain,(always3(s297) | (~until5(s281)) | xuntil6(s297)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.07 tff(23670,plain,
% 14.29/10.07 (always3(s297)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23669, 22720, 23598])).
% 14.29/10.07 tff(23671,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s297)) | (~m_main_v_state(s297, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s297)) | (~m_main_v_state(s297, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23672,plain,
% 14.29/10.07 (((~m_main_v_state(s297, c_busy)) | (~always3(s297))) <=> ((~always3(s297)) | (~m_main_v_state(s297, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23673,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s297, c_busy)) | (~always3(s297)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s297)) | (~m_main_v_state(s297, c_busy))))),
% 14.29/10.07 inference(monotonicity,[status(thm)],[23672])).
% 14.29/10.07 tff(23674,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s297, c_busy)) | (~always3(s297)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s297)) | (~m_main_v_state(s297, c_busy)))),
% 14.29/10.07 inference(transitivity,[status(thm)],[23673, 23671])).
% 14.29/10.07 tff(23675,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s297, c_busy)) | (~always3(s297)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23676,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s297)) | (~m_main_v_state(s297, c_busy))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23675, 23674])).
% 14.29/10.07 tff(23677,plain,
% 14.29/10.07 (~m_main_v_state(s297, c_busy)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23676, 85, 23670])).
% 14.29/10.07 tff(23678,plain,
% 14.29/10.07 (always3(s298)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22769, 23670])).
% 14.29/10.07 tff(23679,plain,
% 14.29/10.07 (~m_main_v_state(s298, c_busy)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23566, 85, 23678])).
% 14.29/10.07 tff(23680,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s297, c_busy) | m_main_v_state(s297, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s297, c_busy) | m_main_v_state(s297, c_ready))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23681,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s297, c_busy) | m_main_v_state(s297, c_ready))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23682,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s297, c_busy) | m_main_v_state(s297, c_ready)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23681, 23680])).
% 14.29/10.07 tff(23683,plain,
% 14.29/10.07 (m_main_v_state(s297, c_ready)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23682, 102, 23677])).
% 14.29/10.07 tff(23684,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s297, s298)) | node2(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s297, s298)) | node2(s297, s298))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23685,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s297, s298)) | node2(s297, s298))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23686,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s297, s298)) | node2(s297, s298)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23685, 23684])).
% 14.29/10.07 tff(23687,plain,
% 14.29/10.07 (node2(s297, s298)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23686, 7, 22765])).
% 14.29/10.07 tff(23688,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s297, c_ready)) | (~node2(s297, s298)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s297, c_ready)) | (~node2(s297, s298)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23689,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s297, c_ready)) | (~node2(s297, s298)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23690,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s297, c_ready)) | (~node2(s297, s298)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23689, 23688])).
% 14.29/10.07 tff(23691,plain,
% 14.29/10.07 ((~m_main_v_state(s297, c_ready)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23690, 73, 23687])).
% 14.29/10.07 tff(23692,plain,
% 14.29/10.07 (~m_main_v_request(s297)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23691, 23683, 23679])).
% 14.29/10.07 tff(23693,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s297) | (~node4(s297)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s297) | (~node4(s297)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23694,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s297) | (~node4(s297)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23695,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s297) | (~node4(s297))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23694, 23693])).
% 14.29/10.07 tff(23696,plain,
% 14.29/10.07 (~node4(s297)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23695, 21, 23692])).
% 14.29/10.07 tff(23697,plain,
% 14.29/10.07 (node4(s297) | (~until5(s297))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22963, 294, 23598])).
% 14.29/10.07 tff(23698,plain,
% 14.29/10.07 (~until5(s297)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23697, 23696])).
% 14.29/10.07 tff(23699,plain,
% 14.29/10.07 (~xuntil6(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22969, 23698])).
% 14.29/10.07 tff(23700,assumption,(until5(s294)), introduced(assumption)).
% 14.29/10.07 tff(23701,assumption,(~m_main_v_state(s297, c_busy)), introduced(assumption)).
% 14.29/10.07 tff(23702,assumption,(~xuntil6(s296)), introduced(assumption)).
% 14.29/10.07 tff(23703,assumption,(~always3(s296)), introduced(assumption)).
% 14.29/10.07 tff(23704,plain,
% 14.29/10.07 (~always3(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22793, 23703])).
% 14.29/10.07 tff(23705,plain,
% 14.29/10.07 (~node4(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23041, 36, 23704])).
% 14.29/10.07 tff(23706,plain,
% 14.29/10.07 (~always3(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22805, 23704])).
% 14.29/10.07 tff(23707,plain,
% 14.29/10.07 (~node4(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23024, 36, 23706])).
% 14.29/10.07 tff(23708,plain,
% 14.29/10.07 (xuntil6(s294) | node4(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23031, 294, 23700])).
% 14.29/10.07 tff(23709,plain,
% 14.29/10.07 (xuntil6(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23708, 23707])).
% 14.29/10.07 tff(23710,plain,
% 14.29/10.07 (until5(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23037, 23709])).
% 14.29/10.07 tff(23711,plain,
% 14.29/10.07 (xuntil6(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23048, 294, 23710, 23705])).
% 14.29/10.07 tff(23712,plain,
% 14.29/10.07 (until5(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23054, 23711])).
% 14.29/10.07 tff(23713,plain,
% 14.29/10.07 (node4(s296) | (~until5(s296))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23065, 294, 23702])).
% 14.29/10.07 tff(23714,plain,
% 14.29/10.07 (node4(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23713, 23712])).
% 14.29/10.07 tff(23715,plain,
% 14.29/10.07 ($false),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23058, 36, 23703, 23714])).
% 14.29/10.07 tff(23716,plain,(always3(s296) | xuntil6(s296) | (~until5(s294))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.07 tff(23717,plain,
% 14.29/10.07 (always3(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23716, 23700, 23702])).
% 14.29/10.07 tff(23718,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s296)) | (~m_main_v_state(s296, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s296)) | (~m_main_v_state(s296, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23719,plain,
% 14.29/10.07 (((~m_main_v_state(s296, c_busy)) | (~always3(s296))) <=> ((~always3(s296)) | (~m_main_v_state(s296, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23720,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s296, c_busy)) | (~always3(s296)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s296)) | (~m_main_v_state(s296, c_busy))))),
% 14.29/10.07 inference(monotonicity,[status(thm)],[23719])).
% 14.29/10.07 tff(23721,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s296, c_busy)) | (~always3(s296)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s296)) | (~m_main_v_state(s296, c_busy)))),
% 14.29/10.07 inference(transitivity,[status(thm)],[23720, 23718])).
% 14.29/10.07 tff(23722,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s296, c_busy)) | (~always3(s296)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23723,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s296)) | (~m_main_v_state(s296, c_busy))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23722, 23721])).
% 14.29/10.07 tff(23724,plain,
% 14.29/10.07 (~m_main_v_state(s296, c_busy)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23723, 85, 23717])).
% 14.29/10.07 tff(23725,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s296, c_busy) | m_main_v_state(s296, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s296, c_busy) | m_main_v_state(s296, c_ready))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23726,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s296, c_busy) | m_main_v_state(s296, c_ready))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23727,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s296, c_busy) | m_main_v_state(s296, c_ready)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23726, 23725])).
% 14.29/10.07 tff(23728,plain,
% 14.29/10.07 (m_main_v_state(s296, c_ready)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23727, 102, 23724])).
% 14.29/10.07 tff(23729,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s296, s297)) | node2(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s296, s297)) | node2(s296, s297))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23730,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s296, s297)) | node2(s296, s297))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23731,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s296, s297)) | node2(s296, s297)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23730, 23729])).
% 14.29/10.07 tff(23732,plain,
% 14.29/10.07 (node2(s296, s297)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23731, 7, 22777])).
% 14.29/10.07 tff(23733,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s296, c_ready)) | (~node2(s296, s297)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s296, c_ready)) | (~node2(s296, s297)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23734,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s296, c_ready)) | (~node2(s296, s297)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23735,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s296, c_ready)) | (~node2(s296, s297)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23734, 23733])).
% 14.29/10.07 tff(23736,plain,
% 14.29/10.07 ((~m_main_v_state(s296, c_ready)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23735, 73, 23732])).
% 14.29/10.07 tff(23737,plain,
% 14.29/10.07 (~m_main_v_request(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23736, 23728, 23701])).
% 14.29/10.07 tff(23738,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s296) | (~node4(s296)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s296) | (~node4(s296)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23739,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s296) | (~node4(s296)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23740,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s296) | (~node4(s296))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23739, 23738])).
% 14.29/10.07 tff(23741,plain,
% 14.29/10.07 (~node4(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23740, 21, 23737])).
% 14.29/10.07 tff(23742,plain,
% 14.29/10.07 (~until5(s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23713, 23741])).
% 14.29/10.07 tff(23743,plain,
% 14.29/10.07 (~xuntil6(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23054, 23742])).
% 14.29/10.07 tff(23744,assumption,(~always3(s295)), introduced(assumption)).
% 14.29/10.07 tff(23745,plain,
% 14.29/10.07 (~always3(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[22805, 23744])).
% 14.29/10.07 tff(23746,plain,
% 14.29/10.07 (~node4(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23024, 36, 23745])).
% 14.29/10.07 tff(23747,plain,
% 14.29/10.07 (xuntil6(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23708, 23746])).
% 14.29/10.07 tff(23748,plain,
% 14.29/10.07 (until5(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23037, 23747])).
% 14.29/10.07 tff(23749,assumption,(~xuntil6(s295)), introduced(assumption)).
% 14.29/10.07 tff(23750,plain,
% 14.29/10.07 (node4(s295) | (~until5(s295))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23048, 294, 23749])).
% 14.29/10.07 tff(23751,plain,
% 14.29/10.07 (node4(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23750, 23748])).
% 14.29/10.07 tff(23752,plain,
% 14.29/10.07 ($false),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23041, 36, 23744, 23751])).
% 14.29/10.07 tff(23753,plain,(always3(s295) | xuntil6(s295) | (~until5(s294))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.07 tff(23754,plain,
% 14.29/10.07 (always3(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23753, 23743, 23700])).
% 14.29/10.07 tff(23755,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s295)) | (~m_main_v_state(s295, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s295)) | (~m_main_v_state(s295, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23756,plain,
% 14.29/10.07 (((~m_main_v_state(s295, c_busy)) | (~always3(s295))) <=> ((~always3(s295)) | (~m_main_v_state(s295, c_busy)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23757,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s295, c_busy)) | (~always3(s295)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s295)) | (~m_main_v_state(s295, c_busy))))),
% 14.29/10.07 inference(monotonicity,[status(thm)],[23756])).
% 14.29/10.07 tff(23758,plain,
% 14.29/10.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s295, c_busy)) | (~always3(s295)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s295)) | (~m_main_v_state(s295, c_busy)))),
% 14.29/10.07 inference(transitivity,[status(thm)],[23757, 23755])).
% 14.29/10.07 tff(23759,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s295, c_busy)) | (~always3(s295)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23760,plain,
% 14.29/10.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s295)) | (~m_main_v_state(s295, c_busy))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23759, 23758])).
% 14.29/10.07 tff(23761,plain,
% 14.29/10.07 (~m_main_v_state(s295, c_busy)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23760, 85, 23754])).
% 14.29/10.07 tff(23762,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23763,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23764,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23763, 23762])).
% 14.29/10.07 tff(23765,plain,
% 14.29/10.07 (m_main_v_state(s295, c_ready)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23764, 102, 23761])).
% 14.29/10.07 tff(23766,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s295, s296)) | node2(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s295, s296)) | node2(s295, s296))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23767,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s295, s296)) | node2(s295, s296))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23768,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s295, s296)) | node2(s295, s296)),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23767, 23766])).
% 14.29/10.07 tff(23769,plain,
% 14.29/10.07 (node2(s295, s296)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23768, 7, 22789])).
% 14.29/10.07 tff(23770,plain,
% 14.29/10.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s295, c_ready)) | (~node2(s295, s296)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s295, c_ready)) | (~node2(s295, s296)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23771,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s295, c_ready)) | (~node2(s295, s296)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23772,plain,
% 14.29/10.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s295, c_ready)) | (~node2(s295, s296)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23771, 23770])).
% 14.29/10.07 tff(23773,plain,
% 14.29/10.07 ((~m_main_v_state(s295, c_ready)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23772, 73, 23769])).
% 14.29/10.07 tff(23774,plain,
% 14.29/10.07 (~m_main_v_request(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23773, 23765, 23724])).
% 14.29/10.07 tff(23775,plain,
% 14.29/10.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s295) | (~node4(s295)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s295) | (~node4(s295)))),
% 14.29/10.07 inference(rewrite,[status(thm)],[])).
% 14.29/10.07 tff(23776,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s295) | (~node4(s295)))),
% 14.29/10.07 inference(quant_inst,[status(thm)],[])).
% 14.29/10.07 tff(23777,plain,
% 14.29/10.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s295) | (~node4(s295))),
% 14.29/10.07 inference(modus_ponens,[status(thm)],[23776, 23775])).
% 14.29/10.07 tff(23778,plain,
% 14.29/10.07 (~node4(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23777, 21, 23774])).
% 14.29/10.07 tff(23779,plain,
% 14.29/10.07 (node4(s295) | (~until5(s295))),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23048, 294, 23743])).
% 14.29/10.07 tff(23780,plain,
% 14.29/10.07 (~until5(s295)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23779, 23778])).
% 14.29/10.07 tff(23781,plain,
% 14.29/10.07 (~xuntil6(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23037, 23780])).
% 14.29/10.07 tff(23782,plain,
% 14.29/10.07 (node4(s294)),
% 14.29/10.07 inference(unit_resolution,[status(thm)],[23708, 23781])).
% 14.29/10.08 tff(23783,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s294) | (~node4(s294)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s294) | (~node4(s294)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23784,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s294) | (~node4(s294)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23785,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s294) | (~node4(s294))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23784, 23783])).
% 14.29/10.08 tff(23786,plain,
% 14.29/10.08 (m_main_v_request(s294)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23785, 21, 23782])).
% 14.29/10.08 tff(23787,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s294, s295)) | node2(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s294, s295)) | node2(s294, s295))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23788,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s294, s295)) | node2(s294, s295))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23789,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s294, s295)) | node2(s294, s295)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23788, 23787])).
% 14.29/10.08 tff(23790,plain,
% 14.29/10.08 (node2(s294, s295)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23789, 7, 22801])).
% 14.29/10.08 tff(23791,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s294, c_ready)) | (~node2(s294, s295)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s294, c_ready)) | (~node2(s294, s295)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23792,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s294, c_ready)) | (~node2(s294, s295)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23793,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s294, c_ready)) | (~node2(s294, s295)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23792, 23791])).
% 14.29/10.08 tff(23794,plain,
% 14.29/10.08 ((~m_main_v_state(s294, c_ready)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23793, 73, 23790])).
% 14.29/10.08 tff(23795,plain,
% 14.29/10.08 (~m_main_v_state(s294, c_ready)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23794, 23786, 23761])).
% 14.29/10.08 tff(23796,plain,
% 14.29/10.08 (always3(s294)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23024, 36, 23782])).
% 14.29/10.08 tff(23797,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s294)) | (~m_main_v_state(s294, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s294)) | (~m_main_v_state(s294, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23798,plain,
% 14.29/10.08 (((~m_main_v_state(s294, c_busy)) | (~always3(s294))) <=> ((~always3(s294)) | (~m_main_v_state(s294, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23799,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s294, c_busy)) | (~always3(s294)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s294)) | (~m_main_v_state(s294, c_busy))))),
% 14.29/10.08 inference(monotonicity,[status(thm)],[23798])).
% 14.29/10.08 tff(23800,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s294, c_busy)) | (~always3(s294)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s294)) | (~m_main_v_state(s294, c_busy)))),
% 14.29/10.08 inference(transitivity,[status(thm)],[23799, 23797])).
% 14.29/10.08 tff(23801,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s294, c_busy)) | (~always3(s294)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23802,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s294)) | (~m_main_v_state(s294, c_busy))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23801, 23800])).
% 14.29/10.08 tff(23803,plain,
% 14.29/10.08 (~m_main_v_state(s294, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23802, 85, 23796])).
% 14.29/10.08 tff(23804,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s294, c_busy) | m_main_v_state(s294, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s294, c_busy) | m_main_v_state(s294, c_ready))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23805,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s294, c_busy) | m_main_v_state(s294, c_ready))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23806,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s294, c_busy) | m_main_v_state(s294, c_ready)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23805, 23804])).
% 14.29/10.08 tff(23807,plain,
% 14.29/10.08 ($false),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23806, 102, 23803, 23795])).
% 14.29/10.08 tff(23808,plain,((~until5(s294)) | xuntil6(s296) | m_main_v_state(s297, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.08 tff(23809,plain,
% 14.29/10.08 (~until5(s294)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23808, 23699, 23677])).
% 14.29/10.08 tff(23810,plain,
% 14.29/10.08 (~xuntil6(s293)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23020, 23809])).
% 14.29/10.08 tff(23811,plain,
% 14.29/10.08 (always3(s293)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23486, 23477, 22979])).
% 14.29/10.08 tff(23812,plain,
% 14.29/10.08 (always3(s294)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22817, 23811])).
% 14.29/10.08 tff(23813,plain,
% 14.29/10.08 (~m_main_v_state(s294, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23802, 85, 23812])).
% 14.29/10.08 tff(23814,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s293)) | (~m_main_v_state(s293, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s293)) | (~m_main_v_state(s293, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23815,plain,
% 14.29/10.08 (((~m_main_v_state(s293, c_busy)) | (~always3(s293))) <=> ((~always3(s293)) | (~m_main_v_state(s293, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23816,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s293, c_busy)) | (~always3(s293)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s293)) | (~m_main_v_state(s293, c_busy))))),
% 14.29/10.08 inference(monotonicity,[status(thm)],[23815])).
% 14.29/10.08 tff(23817,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s293, c_busy)) | (~always3(s293)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s293)) | (~m_main_v_state(s293, c_busy)))),
% 14.29/10.08 inference(transitivity,[status(thm)],[23816, 23814])).
% 14.29/10.08 tff(23818,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s293, c_busy)) | (~always3(s293)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23819,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s293)) | (~m_main_v_state(s293, c_busy))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23818, 23817])).
% 14.29/10.08 tff(23820,plain,
% 14.29/10.08 (~m_main_v_state(s293, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23819, 85, 23811])).
% 14.29/10.08 tff(23821,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s293, c_busy) | m_main_v_state(s293, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s293, c_busy) | m_main_v_state(s293, c_ready))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23822,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s293, c_busy) | m_main_v_state(s293, c_ready))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23823,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s293, c_busy) | m_main_v_state(s293, c_ready)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23822, 23821])).
% 14.29/10.08 tff(23824,plain,
% 14.29/10.08 (m_main_v_state(s293, c_ready)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23823, 102, 23820])).
% 14.29/10.08 tff(23825,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s293, s294)) | node2(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s293, s294)) | node2(s293, s294))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23826,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s293, s294)) | node2(s293, s294))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23827,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s293, s294)) | node2(s293, s294)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23826, 23825])).
% 14.29/10.08 tff(23828,plain,
% 14.29/10.08 (node2(s293, s294)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23827, 7, 22813])).
% 14.29/10.08 tff(23829,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s293, c_ready)) | (~node2(s293, s294)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s293, c_ready)) | (~node2(s293, s294)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23830,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s293, c_ready)) | (~node2(s293, s294)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23831,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s293, c_ready)) | (~node2(s293, s294)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23830, 23829])).
% 14.29/10.08 tff(23832,plain,
% 14.29/10.08 ((~m_main_v_state(s293, c_ready)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23831, 73, 23828])).
% 14.29/10.08 tff(23833,plain,
% 14.29/10.08 (~m_main_v_request(s293)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23832, 23824, 23813])).
% 14.29/10.08 tff(23834,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s293) | (~node4(s293)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s293) | (~node4(s293)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23835,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s293) | (~node4(s293)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23836,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s293) | (~node4(s293))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23835, 23834])).
% 14.29/10.08 tff(23837,plain,
% 14.29/10.08 (~node4(s293)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23836, 21, 23833])).
% 14.29/10.08 tff(23838,plain,
% 14.29/10.08 (~until5(s293)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23478, 23837])).
% 14.29/10.08 tff(23839,plain,
% 14.29/10.08 (~xuntil6(s292)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23003, 23838])).
% 14.29/10.08 tff(23840,assumption,(~always3(s292)), introduced(assumption)).
% 14.29/10.08 tff(23841,plain,
% 14.29/10.08 (~always3(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22841, 23840])).
% 14.29/10.08 tff(23842,plain,
% 14.29/10.08 (~node4(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22977, 36, 23841])).
% 14.29/10.08 tff(23843,plain,
% 14.29/10.08 (xuntil6(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22986, 23842])).
% 14.29/10.08 tff(23844,plain,
% 14.29/10.08 (until5(s292)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22991, 23843])).
% 14.29/10.08 tff(23845,assumption,(~xuntil6(s292)), introduced(assumption)).
% 14.29/10.08 tff(23846,plain,
% 14.29/10.08 (node4(s292) | (~until5(s292))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22998, 294, 23845])).
% 14.29/10.08 tff(23847,plain,
% 14.29/10.08 (node4(s292)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23846, 23844])).
% 14.29/10.08 tff(23848,plain,
% 14.29/10.08 ($false),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22973, 36, 23840, 23847])).
% 14.29/10.08 tff(23849,plain,(always3(s292) | xuntil6(s292) | (~until5(s291))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.08 tff(23850,plain,
% 14.29/10.08 (always3(s292)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23849, 23839, 22979])).
% 14.29/10.08 tff(23851,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s292)) | (~m_main_v_state(s292, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s292)) | (~m_main_v_state(s292, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23852,plain,
% 14.29/10.08 (((~m_main_v_state(s292, c_busy)) | (~always3(s292))) <=> ((~always3(s292)) | (~m_main_v_state(s292, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23853,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s292, c_busy)) | (~always3(s292)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s292)) | (~m_main_v_state(s292, c_busy))))),
% 14.29/10.08 inference(monotonicity,[status(thm)],[23852])).
% 14.29/10.08 tff(23854,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s292, c_busy)) | (~always3(s292)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s292)) | (~m_main_v_state(s292, c_busy)))),
% 14.29/10.08 inference(transitivity,[status(thm)],[23853, 23851])).
% 14.29/10.08 tff(23855,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s292, c_busy)) | (~always3(s292)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23856,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s292)) | (~m_main_v_state(s292, c_busy))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23855, 23854])).
% 14.29/10.08 tff(23857,plain,
% 14.29/10.08 (~m_main_v_state(s292, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23856, 85, 23850])).
% 14.29/10.08 tff(23858,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s292, c_busy) | m_main_v_state(s292, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s292, c_busy) | m_main_v_state(s292, c_ready))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23859,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s292, c_busy) | m_main_v_state(s292, c_ready))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23860,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s292, c_busy) | m_main_v_state(s292, c_ready)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23859, 23858])).
% 14.29/10.08 tff(23861,plain,
% 14.29/10.08 (m_main_v_state(s292, c_ready)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23860, 102, 23857])).
% 14.29/10.08 tff(23862,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s292, s293)) | node2(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s292, s293)) | node2(s292, s293))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23863,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s292, s293)) | node2(s292, s293))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23864,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s292, s293)) | node2(s292, s293)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23863, 23862])).
% 14.29/10.08 tff(23865,plain,
% 14.29/10.08 (node2(s292, s293)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23864, 7, 22825])).
% 14.29/10.08 tff(23866,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s292, c_ready)) | (~node2(s292, s293)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s292, c_ready)) | (~node2(s292, s293)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23867,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s292, c_ready)) | (~node2(s292, s293)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23868,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s292, c_ready)) | (~node2(s292, s293)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23867, 23866])).
% 14.29/10.08 tff(23869,plain,
% 14.29/10.08 ((~m_main_v_state(s292, c_ready)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23868, 73, 23865])).
% 14.29/10.08 tff(23870,plain,
% 14.29/10.08 (~m_main_v_request(s292)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23869, 23861, 23820])).
% 14.29/10.08 tff(23871,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s292) | (~node4(s292)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s292) | (~node4(s292)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23872,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s292) | (~node4(s292)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23873,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s292) | (~node4(s292))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23872, 23871])).
% 14.29/10.08 tff(23874,plain,
% 14.29/10.08 (~node4(s292)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23873, 21, 23870])).
% 14.29/10.08 tff(23875,plain,
% 14.29/10.08 (node4(s292) | (~until5(s292))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22998, 294, 23839])).
% 14.29/10.08 tff(23876,plain,
% 14.29/10.08 (~until5(s292)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23875, 23874])).
% 14.29/10.08 tff(23877,plain,
% 14.29/10.08 (~xuntil6(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22991, 23876])).
% 14.29/10.08 tff(23878,plain,
% 14.29/10.08 (node4(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22986, 23877])).
% 14.29/10.08 tff(23879,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s291) | (~node4(s291)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s291) | (~node4(s291)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23880,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s291) | (~node4(s291)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23881,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s291) | (~node4(s291))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 14.29/10.08 tff(23882,plain,
% 14.29/10.08 (m_main_v_request(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23881, 21, 23878])).
% 14.29/10.08 tff(23883,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s291, s292)) | node2(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s291, s292)) | node2(s291, s292))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23884,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s291, s292)) | node2(s291, s292))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23885,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s291, s292)) | node2(s291, s292)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23884, 23883])).
% 14.29/10.08 tff(23886,plain,
% 14.29/10.08 (node2(s291, s292)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23885, 7, 22837])).
% 14.29/10.08 tff(23887,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s291, c_ready)) | (~node2(s291, s292)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s291, c_ready)) | (~node2(s291, s292)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23888,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s291, c_ready)) | (~node2(s291, s292)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23889,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s291, c_ready)) | (~node2(s291, s292)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23888, 23887])).
% 14.29/10.08 tff(23890,plain,
% 14.29/10.08 ((~m_main_v_state(s291, c_ready)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23889, 73, 23886])).
% 14.29/10.08 tff(23891,plain,
% 14.29/10.08 (~m_main_v_state(s291, c_ready)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23890, 23882, 23857])).
% 14.29/10.08 tff(23892,plain,
% 14.29/10.08 (always3(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22977, 36, 23878])).
% 14.29/10.08 tff(23893,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s291)) | (~m_main_v_state(s291, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s291)) | (~m_main_v_state(s291, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23894,plain,
% 14.29/10.08 (((~m_main_v_state(s291, c_busy)) | (~always3(s291))) <=> ((~always3(s291)) | (~m_main_v_state(s291, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23895,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s291, c_busy)) | (~always3(s291)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s291)) | (~m_main_v_state(s291, c_busy))))),
% 14.29/10.08 inference(monotonicity,[status(thm)],[23894])).
% 14.29/10.08 tff(23896,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s291, c_busy)) | (~always3(s291)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s291)) | (~m_main_v_state(s291, c_busy)))),
% 14.29/10.08 inference(transitivity,[status(thm)],[23895, 23893])).
% 14.29/10.08 tff(23897,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s291, c_busy)) | (~always3(s291)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23898,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s291)) | (~m_main_v_state(s291, c_busy))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23897, 23896])).
% 14.29/10.08 tff(23899,plain,
% 14.29/10.08 (~m_main_v_state(s291, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23898, 85, 23892])).
% 14.29/10.08 tff(23900,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s291, c_busy) | m_main_v_state(s291, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s291, c_busy) | m_main_v_state(s291, c_ready))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23901,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s291, c_busy) | m_main_v_state(s291, c_ready))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23902,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s291, c_busy) | m_main_v_state(s291, c_ready)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23901, 23900])).
% 14.29/10.08 tff(23903,plain,
% 14.29/10.08 ($false),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23902, 102, 23899, 23891])).
% 14.29/10.08 tff(23904,plain,(xuntil6(s293) | (~until5(s291))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.08 tff(23905,plain,
% 14.29/10.08 (~until5(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23904, 23810])).
% 14.29/10.08 tff(23906,plain,
% 14.29/10.08 (~xuntil6(s290)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23073, 23905])).
% 14.29/10.08 tff(23907,assumption,(~always3(s290)), introduced(assumption)).
% 14.29/10.08 tff(23908,plain,
% 14.29/10.08 (~always3(s289)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22865, 23907])).
% 14.29/10.08 tff(23909,plain,
% 14.29/10.08 (~always3(s288)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22877, 23908])).
% 14.29/10.08 tff(23910,plain,
% 14.29/10.08 (~node4(s288)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22881, 36, 23909])).
% 14.29/10.08 tff(23911,plain,
% 14.29/10.08 (~node4(s290)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22885, 36, 23907])).
% 14.29/10.08 tff(23912,assumption,(~xuntil6(s290)), introduced(assumption)).
% 14.29/10.08 tff(23913,plain,
% 14.29/10.08 (node4(s290) | (~until5(s290))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23080, 294, 23912])).
% 14.29/10.08 tff(23914,plain,
% 14.29/10.08 (~until5(s290)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23913, 23911])).
% 14.29/10.08 tff(23915,plain,
% 14.29/10.08 (~xuntil6(s289)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23085, 23914])).
% 14.29/10.08 tff(23916,plain,
% 14.29/10.08 (~until5(s289)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23131, 23915])).
% 14.29/10.08 tff(23917,plain,
% 14.29/10.08 (~xuntil6(s288)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23136, 23916])).
% 14.29/10.08 tff(23918,plain,
% 14.29/10.08 (~until5(s288)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23143, 294, 23917, 23910])).
% 14.29/10.08 tff(23919,plain,
% 14.29/10.08 (~xuntil6(s287)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23151, 23918])).
% 14.29/10.08 tff(23920,plain,
% 14.29/10.08 (~always3(s287)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23160, 23909])).
% 14.29/10.08 tff(23921,plain,
% 14.29/10.08 (~node4(s287)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23164, 36, 23920])).
% 14.29/10.08 tff(23922,plain,
% 14.29/10.08 (xuntil6(s287) | (~until5(s287))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23171, 294, 23921])).
% 14.29/10.08 tff(23923,plain,
% 14.29/10.08 (~until5(s287)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23922, 23919])).
% 14.29/10.08 tff(23924,plain,
% 14.29/10.08 (~xuntil6(s286)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23180, 23923])).
% 14.29/10.08 tff(23925,plain,
% 14.29/10.08 (~always3(s286)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23189, 23920])).
% 14.29/10.08 tff(23926,plain,
% 14.29/10.08 (~node4(s286)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23193, 36, 23925])).
% 14.29/10.08 tff(23927,plain,
% 14.29/10.08 (xuntil6(s286) | (~until5(s286))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23200, 294, 23926])).
% 14.29/10.08 tff(23928,plain,
% 14.29/10.08 (~until5(s286)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23927, 23924])).
% 14.29/10.08 tff(23929,plain,
% 14.29/10.08 (~xuntil6(s285)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23209, 23928])).
% 14.29/10.08 tff(23930,plain,
% 14.29/10.08 (~always3(s285)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23218, 23925])).
% 14.29/10.08 tff(23931,plain,
% 14.29/10.08 (~always3(s284)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23230, 23930])).
% 14.29/10.08 tff(23932,plain,
% 14.29/10.08 (~always3(s283)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23242, 23931])).
% 14.29/10.08 tff(23933,plain,
% 14.29/10.08 (~always3(s282)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23254, 23932])).
% 14.29/10.08 tff(23934,plain,
% 14.29/10.08 (~node4(s282)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23258, 36, 23933])).
% 14.29/10.08 tff(23935,plain,
% 14.29/10.08 (~always3(s281)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23270, 23933])).
% 14.29/10.08 tff(23936,plain,
% 14.29/10.08 (~node4(s281)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23274, 36, 23935])).
% 14.29/10.08 tff(23937,plain,
% 14.29/10.08 (xuntil6(s281)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23282, 23936])).
% 14.29/10.08 tff(23938,plain,
% 14.29/10.08 (until5(s282)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23287, 23937])).
% 14.29/10.08 tff(23939,plain,
% 14.29/10.08 (xuntil6(s282)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23294, 294, 23938, 23934])).
% 14.29/10.08 tff(23940,plain,
% 14.29/10.08 (until5(s283)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23299, 23939])).
% 14.29/10.08 tff(23941,plain,
% 14.29/10.08 (~node4(s283)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23303, 36, 23932])).
% 14.29/10.08 tff(23942,plain,
% 14.29/10.08 (xuntil6(s283) | (~until5(s283))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23310, 294, 23941])).
% 14.29/10.08 tff(23943,plain,
% 14.29/10.08 (xuntil6(s283)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23942, 23940])).
% 14.29/10.08 tff(23944,plain,
% 14.29/10.08 (until5(s284)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23316, 23943])).
% 14.29/10.08 tff(23945,plain,
% 14.29/10.08 (~node4(s284)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23320, 36, 23931])).
% 14.29/10.08 tff(23946,plain,
% 14.29/10.08 (xuntil6(s284) | (~until5(s284))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23327, 294, 23945])).
% 14.29/10.08 tff(23947,plain,
% 14.29/10.08 (xuntil6(s284)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23946, 23944])).
% 14.29/10.08 tff(23948,plain,
% 14.29/10.08 (until5(s285)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23333, 23947])).
% 14.29/10.08 tff(23949,plain,
% 14.29/10.08 (~node4(s285)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23337, 36, 23930])).
% 14.29/10.08 tff(23950,plain,
% 14.29/10.08 (xuntil6(s285) | (~until5(s285))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23344, 294, 23949])).
% 14.29/10.08 tff(23951,plain,
% 14.29/10.08 ($false),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23950, 23948, 23929])).
% 14.29/10.08 tff(23952,plain,(always3(s290) | (~until5(s281)) | xuntil6(s290)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.08 tff(23953,plain,
% 14.29/10.08 (always3(s290)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23952, 22720, 23906])).
% 14.29/10.08 tff(23954,plain,
% 14.29/10.08 (always3(s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22853, 23953])).
% 14.29/10.08 tff(23955,plain,
% 14.29/10.08 (~m_main_v_state(s291, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23898, 85, 23954])).
% 14.29/10.08 tff(23956,plain,
% 14.29/10.08 (~m_main_v_state(s290, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23102, 85, 23953])).
% 14.29/10.08 tff(23957,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s290, c_busy) | m_main_v_state(s290, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s290, c_busy) | m_main_v_state(s290, c_ready))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23958,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s290, c_busy) | m_main_v_state(s290, c_ready))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23959,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s290, c_busy) | m_main_v_state(s290, c_ready)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23958, 23957])).
% 14.29/10.08 tff(23960,plain,
% 14.29/10.08 (m_main_v_state(s290, c_ready)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23959, 102, 23956])).
% 14.29/10.08 tff(23961,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s290, s291)) | node2(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s290, s291)) | node2(s290, s291))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23962,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s290, s291)) | node2(s290, s291))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23963,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s290, s291)) | node2(s290, s291)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 14.29/10.08 tff(23964,plain,
% 14.29/10.08 (node2(s290, s291)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23963, 7, 22849])).
% 14.29/10.08 tff(23965,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s290, c_ready)) | (~node2(s290, s291)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s290, c_ready)) | (~node2(s290, s291)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23966,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s290, c_ready)) | (~node2(s290, s291)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23967,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s290, c_ready)) | (~node2(s290, s291)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 14.29/10.08 tff(23968,plain,
% 14.29/10.08 ((~m_main_v_state(s290, c_ready)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23967, 73, 23964])).
% 14.29/10.08 tff(23969,plain,
% 14.29/10.08 (~m_main_v_request(s290)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23968, 23960, 23955])).
% 14.29/10.08 tff(23970,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s290) | (~node4(s290)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s290) | (~node4(s290)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23971,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s290) | (~node4(s290)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23972,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s290) | (~node4(s290))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23971, 23970])).
% 14.29/10.08 tff(23973,plain,
% 14.29/10.08 (~node4(s290)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23972, 21, 23969])).
% 14.29/10.08 tff(23974,plain,
% 14.29/10.08 (node4(s290) | (~until5(s290))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23080, 294, 23906])).
% 14.29/10.08 tff(23975,plain,
% 14.29/10.08 (~until5(s290)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23974, 23973])).
% 14.29/10.08 tff(23976,plain,
% 14.29/10.08 (~xuntil6(s289)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23085, 23975])).
% 14.29/10.08 tff(23977,plain,
% 14.29/10.08 (~until5(s289)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23131, 23976])).
% 14.29/10.08 tff(23978,plain,
% 14.29/10.08 (~xuntil6(s288)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23136, 23977])).
% 14.29/10.08 tff(23979,assumption,(~xuntil6(s288)), introduced(assumption)).
% 14.29/10.08 tff(23980,assumption,(until5(s287)), introduced(assumption)).
% 14.29/10.08 tff(23981,assumption,(~always3(s288)), introduced(assumption)).
% 14.29/10.08 tff(23982,plain,
% 14.29/10.08 (~node4(s288)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22881, 36, 23981])).
% 14.29/10.08 tff(23983,plain,
% 14.29/10.08 (node4(s288) | (~until5(s288))),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23143, 294, 23979])).
% 14.29/10.08 tff(23984,plain,
% 14.29/10.08 (~until5(s288)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23983, 23982])).
% 14.29/10.08 tff(23985,plain,
% 14.29/10.08 (~always3(s287)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23160, 23981])).
% 14.29/10.08 tff(23986,plain,
% 14.29/10.08 (~node4(s287)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23164, 36, 23985])).
% 14.29/10.08 tff(23987,plain,
% 14.29/10.08 (xuntil6(s287) | node4(s287)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23171, 294, 23980])).
% 14.29/10.08 tff(23988,plain,
% 14.29/10.08 (xuntil6(s287)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23987, 23986])).
% 14.29/10.08 tff(23989,plain,
% 14.29/10.08 ($false),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23151, 23988, 23984])).
% 14.29/10.08 tff(23990,plain,(always3(s288) | (~until5(s287)) | xuntil6(s288)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.08 tff(23991,plain,
% 14.29/10.08 (always3(s288)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23990, 23980, 23979])).
% 14.29/10.08 tff(23992,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s288)) | (~m_main_v_state(s288, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s288)) | (~m_main_v_state(s288, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23993,plain,
% 14.29/10.08 (((~m_main_v_state(s288, c_busy)) | (~always3(s288))) <=> ((~always3(s288)) | (~m_main_v_state(s288, c_busy)))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(23994,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s288, c_busy)) | (~always3(s288)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s288)) | (~m_main_v_state(s288, c_busy))))),
% 14.29/10.08 inference(monotonicity,[status(thm)],[23993])).
% 14.29/10.08 tff(23995,plain,
% 14.29/10.08 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s288, c_busy)) | (~always3(s288)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s288)) | (~m_main_v_state(s288, c_busy)))),
% 14.29/10.08 inference(transitivity,[status(thm)],[23994, 23992])).
% 14.29/10.08 tff(23996,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s288, c_busy)) | (~always3(s288)))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(23997,plain,
% 14.29/10.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s288)) | (~m_main_v_state(s288, c_busy))),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[23996, 23995])).
% 14.29/10.08 tff(23998,plain,
% 14.29/10.08 (~m_main_v_state(s288, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23997, 85, 23991])).
% 14.29/10.08 tff(23999,plain,
% 14.29/10.08 (always3(s289)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[22877, 23991])).
% 14.29/10.08 tff(24000,plain,
% 14.29/10.08 (~m_main_v_state(s289, c_busy)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[23118, 85, 23999])).
% 14.29/10.08 tff(24001,plain,
% 14.29/10.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s288, c_busy) | m_main_v_state(s288, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s288, c_busy) | m_main_v_state(s288, c_ready))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(24002,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s288, c_busy) | m_main_v_state(s288, c_ready))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(24003,plain,
% 14.29/10.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s288, c_busy) | m_main_v_state(s288, c_ready)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[24002, 24001])).
% 14.29/10.08 tff(24004,plain,
% 14.29/10.08 (m_main_v_state(s288, c_ready)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[24003, 102, 23998])).
% 14.29/10.08 tff(24005,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s288, s289)) | node2(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s288, s289)) | node2(s288, s289))),
% 14.29/10.08 inference(rewrite,[status(thm)],[])).
% 14.29/10.08 tff(24006,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s288, s289)) | node2(s288, s289))),
% 14.29/10.08 inference(quant_inst,[status(thm)],[])).
% 14.29/10.08 tff(24007,plain,
% 14.29/10.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s288, s289)) | node2(s288, s289)),
% 14.29/10.08 inference(modus_ponens,[status(thm)],[24006, 24005])).
% 14.29/10.08 tff(24008,plain,
% 14.29/10.08 (node2(s288, s289)),
% 14.29/10.08 inference(unit_resolution,[status(thm)],[24007, 7, 22873])).
% 14.29/10.08 tff(24009,plain,
% 14.29/10.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24010,plain,
% 14.29/10.09 ((~![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(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24011,plain,
% 14.29/10.09 ((~![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(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24010, 24009])).
% 14.29/10.09 tff(24012,plain,
% 14.29/10.09 ((~m_main_v_state(s288, c_ready)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24011, 73, 24008])).
% 14.29/10.09 tff(24013,plain,
% 14.29/10.09 (~m_main_v_request(s288)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24012, 24004, 24000])).
% 14.29/10.09 tff(24014,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s288) | (~node4(s288)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s288) | (~node4(s288)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24015,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s288) | (~node4(s288)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24016,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s288) | (~node4(s288))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24015, 24014])).
% 14.29/10.09 tff(24017,plain,
% 14.29/10.09 (~node4(s288)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24016, 21, 24013])).
% 14.29/10.09 tff(24018,plain,
% 14.29/10.09 (~until5(s288)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23983, 24017])).
% 14.29/10.09 tff(24019,plain,
% 14.29/10.09 (~xuntil6(s287)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23151, 24018])).
% 14.29/10.09 tff(24020,plain,
% 14.29/10.09 (node4(s287)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23987, 24019])).
% 14.29/10.09 tff(24021,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s287) | (~node4(s287)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s287) | (~node4(s287)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24022,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s287) | (~node4(s287)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24023,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s287) | (~node4(s287))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24022, 24021])).
% 14.29/10.09 tff(24024,plain,
% 14.29/10.09 (m_main_v_request(s287)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24023, 21, 24020])).
% 14.29/10.09 tff(24025,plain,
% 14.29/10.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s287, s288)) | node2(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s287, s288)) | node2(s287, s288))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24026,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s287, s288)) | node2(s287, s288))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24027,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s287, s288)) | node2(s287, s288)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24026, 24025])).
% 14.29/10.09 tff(24028,plain,
% 14.29/10.09 (node2(s287, s288)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24027, 7, 23156])).
% 14.29/10.09 tff(24029,plain,
% 14.29/10.09 (((~![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(s287, c_ready)) | (~node2(s287, s288)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s287, c_ready)) | (~node2(s287, s288)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24030,plain,
% 14.29/10.09 ((~![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(s287, c_ready)) | (~node2(s287, s288)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24031,plain,
% 14.29/10.09 ((~![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(s287, c_ready)) | (~node2(s287, s288)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24030, 24029])).
% 14.29/10.09 tff(24032,plain,
% 14.29/10.09 ((~m_main_v_state(s287, c_ready)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24031, 73, 24028])).
% 14.29/10.09 tff(24033,plain,
% 14.29/10.09 (~m_main_v_state(s287, c_ready)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24032, 24024, 23998])).
% 14.29/10.09 tff(24034,plain,
% 14.29/10.09 (always3(s287)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23164, 36, 24020])).
% 14.29/10.09 tff(24035,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s287)) | (~m_main_v_state(s287, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s287)) | (~m_main_v_state(s287, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24036,plain,
% 14.29/10.09 (((~m_main_v_state(s287, c_busy)) | (~always3(s287))) <=> ((~always3(s287)) | (~m_main_v_state(s287, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24037,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s287, c_busy)) | (~always3(s287)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s287)) | (~m_main_v_state(s287, c_busy))))),
% 14.29/10.09 inference(monotonicity,[status(thm)],[24036])).
% 14.29/10.09 tff(24038,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s287, c_busy)) | (~always3(s287)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s287)) | (~m_main_v_state(s287, c_busy)))),
% 14.29/10.09 inference(transitivity,[status(thm)],[24037, 24035])).
% 14.29/10.09 tff(24039,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s287, c_busy)) | (~always3(s287)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24040,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s287)) | (~m_main_v_state(s287, c_busy))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24039, 24038])).
% 14.29/10.09 tff(24041,plain,
% 14.29/10.09 (~m_main_v_state(s287, c_busy)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24040, 85, 24034])).
% 14.29/10.09 tff(24042,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s287, c_busy) | m_main_v_state(s287, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s287, c_busy) | m_main_v_state(s287, c_ready))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24043,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s287, c_busy) | m_main_v_state(s287, c_ready))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24044,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s287, c_busy) | m_main_v_state(s287, c_ready)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24043, 24042])).
% 14.29/10.09 tff(24045,plain,
% 14.29/10.09 ($false),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24044, 102, 24041, 24033])).
% 14.29/10.09 tff(24046,plain,((~until5(s287)) | xuntil6(s288)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.09 tff(24047,plain,
% 14.29/10.09 (~until5(s287)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24046, 23978])).
% 14.29/10.09 tff(24048,plain,
% 14.29/10.09 (~xuntil6(s286)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23180, 24047])).
% 14.29/10.09 tff(24049,assumption,(~always3(s286)), introduced(assumption)).
% 14.29/10.09 tff(24050,plain,
% 14.29/10.09 (~always3(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23218, 24049])).
% 14.29/10.09 tff(24051,plain,
% 14.29/10.09 (~node4(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23337, 36, 24050])).
% 14.29/10.09 tff(24052,plain,
% 14.29/10.09 (~node4(s286)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23193, 36, 24049])).
% 14.29/10.09 tff(24053,assumption,(~xuntil6(s286)), introduced(assumption)).
% 14.29/10.09 tff(24054,plain,
% 14.29/10.09 (node4(s286) | (~until5(s286))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23200, 294, 24053])).
% 14.29/10.09 tff(24055,plain,
% 14.29/10.09 (~until5(s286)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24054, 24052])).
% 14.29/10.09 tff(24056,plain,
% 14.29/10.09 (~xuntil6(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23209, 24055])).
% 14.29/10.09 tff(24057,plain,
% 14.29/10.09 (~until5(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23344, 294, 24056, 24051])).
% 14.29/10.09 tff(24058,plain,
% 14.29/10.09 (~xuntil6(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23333, 24057])).
% 14.29/10.09 tff(24059,plain,
% 14.29/10.09 (~always3(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23230, 24050])).
% 14.29/10.09 tff(24060,plain,
% 14.29/10.09 (~node4(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23320, 36, 24059])).
% 14.29/10.09 tff(24061,plain,
% 14.29/10.09 (xuntil6(s284) | (~until5(s284))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23327, 294, 24060])).
% 14.29/10.09 tff(24062,plain,
% 14.29/10.09 (~until5(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24061, 24058])).
% 14.29/10.09 tff(24063,plain,
% 14.29/10.09 (~always3(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23242, 24059])).
% 14.29/10.09 tff(24064,plain,
% 14.29/10.09 (~always3(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23254, 24063])).
% 14.29/10.09 tff(24065,plain,
% 14.29/10.09 (~node4(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23258, 36, 24064])).
% 14.29/10.09 tff(24066,plain,
% 14.29/10.09 (~always3(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23270, 24064])).
% 14.29/10.09 tff(24067,plain,
% 14.29/10.09 (~node4(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23274, 36, 24066])).
% 14.29/10.09 tff(24068,plain,
% 14.29/10.09 (xuntil6(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23282, 24067])).
% 14.29/10.09 tff(24069,plain,
% 14.29/10.09 (until5(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23287, 24068])).
% 14.29/10.09 tff(24070,plain,
% 14.29/10.09 (xuntil6(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23294, 294, 24069, 24065])).
% 14.29/10.09 tff(24071,plain,
% 14.29/10.09 (until5(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23299, 24070])).
% 14.29/10.09 tff(24072,plain,
% 14.29/10.09 (~node4(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23303, 36, 24063])).
% 14.29/10.09 tff(24073,plain,
% 14.29/10.09 (xuntil6(s283) | (~until5(s283))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23310, 294, 24072])).
% 14.29/10.09 tff(24074,plain,
% 14.29/10.09 (xuntil6(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24073, 24071])).
% 14.29/10.09 tff(24075,plain,
% 14.29/10.09 ($false),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23316, 24074, 24062])).
% 14.29/10.09 tff(24076,plain,(always3(s286) | (~until5(s281)) | xuntil6(s286)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.09 tff(24077,plain,
% 14.29/10.09 (always3(s286)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24076, 22720, 24048])).
% 14.29/10.09 tff(24078,plain,
% 14.29/10.09 (always3(s287)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23189, 24077])).
% 14.29/10.09 tff(24079,plain,
% 14.29/10.09 (~m_main_v_state(s287, c_busy)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24040, 85, 24078])).
% 14.29/10.09 tff(24080,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s286)) | (~m_main_v_state(s286, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s286)) | (~m_main_v_state(s286, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24081,plain,
% 14.29/10.09 (((~m_main_v_state(s286, c_busy)) | (~always3(s286))) <=> ((~always3(s286)) | (~m_main_v_state(s286, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24082,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s286, c_busy)) | (~always3(s286)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s286)) | (~m_main_v_state(s286, c_busy))))),
% 14.29/10.09 inference(monotonicity,[status(thm)],[24081])).
% 14.29/10.09 tff(24083,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s286, c_busy)) | (~always3(s286)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s286)) | (~m_main_v_state(s286, c_busy)))),
% 14.29/10.09 inference(transitivity,[status(thm)],[24082, 24080])).
% 14.29/10.09 tff(24084,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s286, c_busy)) | (~always3(s286)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24085,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s286)) | (~m_main_v_state(s286, c_busy))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24084, 24083])).
% 14.29/10.09 tff(24086,plain,
% 14.29/10.09 (~m_main_v_state(s286, c_busy)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24085, 85, 24077])).
% 14.29/10.09 tff(24087,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s286, c_busy) | m_main_v_state(s286, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s286, c_busy) | m_main_v_state(s286, c_ready))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24088,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s286, c_busy) | m_main_v_state(s286, c_ready))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24089,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s286, c_busy) | m_main_v_state(s286, c_ready)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24088, 24087])).
% 14.29/10.09 tff(24090,plain,
% 14.29/10.09 (m_main_v_state(s286, c_ready)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24089, 102, 24086])).
% 14.29/10.09 tff(24091,plain,
% 14.29/10.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s286, s287)) | node2(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s286, s287)) | node2(s286, s287))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24092,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s286, s287)) | node2(s286, s287))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24093,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s286, s287)) | node2(s286, s287)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24092, 24091])).
% 14.29/10.09 tff(24094,plain,
% 14.29/10.09 (node2(s286, s287)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24093, 7, 23185])).
% 14.29/10.09 tff(24095,plain,
% 14.29/10.09 (((~![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(s286, c_ready)) | (~node2(s286, s287)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s286, c_ready)) | (~node2(s286, s287)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24096,plain,
% 14.29/10.09 ((~![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(s286, c_ready)) | (~node2(s286, s287)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24097,plain,
% 14.29/10.09 ((~![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(s286, c_ready)) | (~node2(s286, s287)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24096, 24095])).
% 14.29/10.09 tff(24098,plain,
% 14.29/10.09 ((~m_main_v_state(s286, c_ready)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24097, 73, 24094])).
% 14.29/10.09 tff(24099,plain,
% 14.29/10.09 (~m_main_v_request(s286)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24098, 24090, 24079])).
% 14.29/10.09 tff(24100,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s286) | (~node4(s286)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s286) | (~node4(s286)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24101,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s286) | (~node4(s286)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24102,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s286) | (~node4(s286))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24101, 24100])).
% 14.29/10.09 tff(24103,plain,
% 14.29/10.09 (~node4(s286)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24102, 21, 24099])).
% 14.29/10.09 tff(24104,plain,
% 14.29/10.09 (node4(s286) | (~until5(s286))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23200, 294, 24048])).
% 14.29/10.09 tff(24105,plain,
% 14.29/10.09 (~until5(s286)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24104, 24103])).
% 14.29/10.09 tff(24106,plain,
% 14.29/10.09 (~xuntil6(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23209, 24105])).
% 14.29/10.09 tff(24107,assumption,(~always3(s285)), introduced(assumption)).
% 14.29/10.09 tff(24108,plain,
% 14.29/10.09 (~always3(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23230, 24107])).
% 14.29/10.09 tff(24109,plain,
% 14.29/10.09 (~always3(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23242, 24108])).
% 14.29/10.09 tff(24110,plain,
% 14.29/10.09 (~always3(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23254, 24109])).
% 14.29/10.09 tff(24111,plain,
% 14.29/10.09 (~node4(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23258, 36, 24110])).
% 14.29/10.09 tff(24112,plain,
% 14.29/10.09 (~always3(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23270, 24110])).
% 14.29/10.09 tff(24113,plain,
% 14.29/10.09 (~node4(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23274, 36, 24112])).
% 14.29/10.09 tff(24114,plain,
% 14.29/10.09 (xuntil6(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23282, 24113])).
% 14.29/10.09 tff(24115,plain,
% 14.29/10.09 (until5(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23287, 24114])).
% 14.29/10.09 tff(24116,plain,
% 14.29/10.09 (xuntil6(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23294, 294, 24115, 24111])).
% 14.29/10.09 tff(24117,plain,
% 14.29/10.09 (until5(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23299, 24116])).
% 14.29/10.09 tff(24118,plain,
% 14.29/10.09 (~node4(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23303, 36, 24109])).
% 14.29/10.09 tff(24119,plain,
% 14.29/10.09 (xuntil6(s283) | (~until5(s283))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23310, 294, 24118])).
% 14.29/10.09 tff(24120,plain,
% 14.29/10.09 (xuntil6(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24119, 24117])).
% 14.29/10.09 tff(24121,plain,
% 14.29/10.09 (until5(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23316, 24120])).
% 14.29/10.09 tff(24122,plain,
% 14.29/10.09 (~node4(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23320, 36, 24108])).
% 14.29/10.09 tff(24123,plain,
% 14.29/10.09 (xuntil6(s284) | (~until5(s284))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23327, 294, 24122])).
% 14.29/10.09 tff(24124,plain,
% 14.29/10.09 (xuntil6(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24123, 24121])).
% 14.29/10.09 tff(24125,plain,
% 14.29/10.09 (until5(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23333, 24124])).
% 14.29/10.09 tff(24126,assumption,(~xuntil6(s285)), introduced(assumption)).
% 14.29/10.09 tff(24127,plain,
% 14.29/10.09 (node4(s285) | (~until5(s285))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23344, 294, 24126])).
% 14.29/10.09 tff(24128,plain,
% 14.29/10.09 (node4(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24127, 24125])).
% 14.29/10.09 tff(24129,plain,
% 14.29/10.09 ($false),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23337, 36, 24107, 24128])).
% 14.29/10.09 tff(24130,plain,(always3(s285) | xuntil6(s285) | (~until5(s281))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.09 tff(24131,plain,
% 14.29/10.09 (always3(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24130, 24106, 22720])).
% 14.29/10.09 tff(24132,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s285)) | (~m_main_v_state(s285, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s285)) | (~m_main_v_state(s285, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24133,plain,
% 14.29/10.09 (((~m_main_v_state(s285, c_busy)) | (~always3(s285))) <=> ((~always3(s285)) | (~m_main_v_state(s285, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24134,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s285, c_busy)) | (~always3(s285)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s285)) | (~m_main_v_state(s285, c_busy))))),
% 14.29/10.09 inference(monotonicity,[status(thm)],[24133])).
% 14.29/10.09 tff(24135,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s285, c_busy)) | (~always3(s285)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s285)) | (~m_main_v_state(s285, c_busy)))),
% 14.29/10.09 inference(transitivity,[status(thm)],[24134, 24132])).
% 14.29/10.09 tff(24136,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s285, c_busy)) | (~always3(s285)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24137,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s285)) | (~m_main_v_state(s285, c_busy))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24136, 24135])).
% 14.29/10.09 tff(24138,plain,
% 14.29/10.09 (~m_main_v_state(s285, c_busy)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24137, 85, 24131])).
% 14.29/10.09 tff(24139,assumption,(~m_main_v_state(s285, c_busy)), introduced(assumption)).
% 14.29/10.09 tff(24140,assumption,(node4(s284)), introduced(assumption)).
% 14.29/10.09 tff(24141,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s284) | (~node4(s284)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s284) | (~node4(s284)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24142,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s284) | (~node4(s284)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24143,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s284) | (~node4(s284))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24142, 24141])).
% 14.29/10.09 tff(24144,plain,
% 14.29/10.09 (m_main_v_request(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24143, 21, 24140])).
% 14.29/10.09 tff(24145,plain,
% 14.29/10.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s284, s285)) | node2(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s284, s285)) | node2(s284, s285))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24146,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s284, s285)) | node2(s284, s285))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24147,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s284, s285)) | node2(s284, s285)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24146, 24145])).
% 14.29/10.09 tff(24148,plain,
% 14.29/10.09 (node2(s284, s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24147, 7, 23226])).
% 14.29/10.09 tff(24149,plain,
% 14.29/10.09 (((~![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(s284, c_ready)) | (~node2(s284, s285)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s284, c_ready)) | (~node2(s284, s285)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24150,plain,
% 14.29/10.09 ((~![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(s284, c_ready)) | (~node2(s284, s285)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24151,plain,
% 14.29/10.09 ((~![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(s284, c_ready)) | (~node2(s284, s285)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 14.29/10.09 tff(24152,plain,
% 14.29/10.09 ((~m_main_v_state(s284, c_ready)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24151, 73, 24148])).
% 14.29/10.09 tff(24153,plain,
% 14.29/10.09 (~m_main_v_state(s284, c_ready)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24152, 24144, 24139])).
% 14.29/10.09 tff(24154,plain,
% 14.29/10.09 (always3(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23320, 36, 24140])).
% 14.29/10.09 tff(24155,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s284)) | (~m_main_v_state(s284, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s284)) | (~m_main_v_state(s284, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24156,plain,
% 14.29/10.09 (((~m_main_v_state(s284, c_busy)) | (~always3(s284))) <=> ((~always3(s284)) | (~m_main_v_state(s284, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24157,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s284, c_busy)) | (~always3(s284)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s284)) | (~m_main_v_state(s284, c_busy))))),
% 14.29/10.09 inference(monotonicity,[status(thm)],[24156])).
% 14.29/10.09 tff(24158,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s284, c_busy)) | (~always3(s284)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s284)) | (~m_main_v_state(s284, c_busy)))),
% 14.29/10.09 inference(transitivity,[status(thm)],[24157, 24155])).
% 14.29/10.09 tff(24159,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s284, c_busy)) | (~always3(s284)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24160,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s284)) | (~m_main_v_state(s284, c_busy))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24159, 24158])).
% 14.29/10.09 tff(24161,plain,
% 14.29/10.09 (~m_main_v_state(s284, c_busy)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24160, 85, 24154])).
% 14.29/10.09 tff(24162,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s284, c_busy) | m_main_v_state(s284, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s284, c_busy) | m_main_v_state(s284, c_ready))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24163,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s284, c_busy) | m_main_v_state(s284, c_ready))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24164,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s284, c_busy) | m_main_v_state(s284, c_ready)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24163, 24162])).
% 14.29/10.09 tff(24165,plain,
% 14.29/10.09 ($false),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24164, 102, 24161, 24153])).
% 14.29/10.09 tff(24166,plain,((~node4(s284)) | m_main_v_state(s285, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.09 tff(24167,plain,
% 14.29/10.09 (~node4(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24166, 24138])).
% 14.29/10.09 tff(24168,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24169,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24170,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24169, 24168])).
% 14.29/10.09 tff(24171,plain,
% 14.29/10.09 (m_main_v_state(s285, c_ready)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24170, 102, 24138])).
% 14.29/10.09 tff(24172,plain,
% 14.29/10.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s285, s286)) | node2(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s285, s286)) | node2(s285, s286))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24173,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s285, s286)) | node2(s285, s286))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24174,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s285, s286)) | node2(s285, s286)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24173, 24172])).
% 14.29/10.09 tff(24175,plain,
% 14.29/10.09 (node2(s285, s286)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24174, 7, 23214])).
% 14.29/10.09 tff(24176,plain,
% 14.29/10.09 (((~![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(s285, c_ready)) | (~node2(s285, s286)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s285, c_ready)) | (~node2(s285, s286)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24177,plain,
% 14.29/10.09 ((~![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(s285, c_ready)) | (~node2(s285, s286)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24178,plain,
% 14.29/10.09 ((~![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(s285, c_ready)) | (~node2(s285, s286)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24177, 24176])).
% 14.29/10.09 tff(24179,plain,
% 14.29/10.09 ((~m_main_v_state(s285, c_ready)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24178, 73, 24175])).
% 14.29/10.09 tff(24180,plain,
% 14.29/10.09 (~m_main_v_request(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24179, 24171, 24086])).
% 14.29/10.09 tff(24181,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s285) | (~node4(s285)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s285) | (~node4(s285)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24182,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s285) | (~node4(s285)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24183,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s285) | (~node4(s285))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24182, 24181])).
% 14.29/10.09 tff(24184,plain,
% 14.29/10.09 (~node4(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24183, 21, 24180])).
% 14.29/10.09 tff(24185,plain,
% 14.29/10.09 (node4(s285) | (~until5(s285))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23344, 294, 24106])).
% 14.29/10.09 tff(24186,plain,
% 14.29/10.09 (~until5(s285)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24185, 24184])).
% 14.29/10.09 tff(24187,plain,
% 14.29/10.09 (~xuntil6(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23333, 24186])).
% 14.29/10.09 tff(24188,plain,
% 14.29/10.09 (node4(s284) | (~until5(s284))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23327, 294, 24187])).
% 14.29/10.09 tff(24189,plain,
% 14.29/10.09 (~until5(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24188, 24167])).
% 14.29/10.09 tff(24190,plain,
% 14.29/10.09 (~xuntil6(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23316, 24189])).
% 14.29/10.09 tff(24191,assumption,(~always3(s283)), introduced(assumption)).
% 14.29/10.09 tff(24192,plain,
% 14.29/10.09 (~always3(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23254, 24191])).
% 14.29/10.09 tff(24193,plain,
% 14.29/10.09 (~node4(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23258, 36, 24192])).
% 14.29/10.09 tff(24194,plain,
% 14.29/10.09 (~node4(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23303, 36, 24191])).
% 14.29/10.09 tff(24195,assumption,(~xuntil6(s283)), introduced(assumption)).
% 14.29/10.09 tff(24196,plain,
% 14.29/10.09 (node4(s283) | (~until5(s283))),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23310, 294, 24195])).
% 14.29/10.09 tff(24197,plain,
% 14.29/10.09 (~until5(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24196, 24194])).
% 14.29/10.09 tff(24198,plain,
% 14.29/10.09 (~xuntil6(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23299, 24197])).
% 14.29/10.09 tff(24199,plain,
% 14.29/10.09 (~always3(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23270, 24192])).
% 14.29/10.09 tff(24200,plain,
% 14.29/10.09 (~node4(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23274, 36, 24199])).
% 14.29/10.09 tff(24201,plain,
% 14.29/10.09 (xuntil6(s281)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23282, 24200])).
% 14.29/10.09 tff(24202,plain,
% 14.29/10.09 (until5(s282)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23287, 24201])).
% 14.29/10.09 tff(24203,plain,
% 14.29/10.09 ($false),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23294, 294, 24202, 24198, 24193])).
% 14.29/10.09 tff(24204,plain,(always3(s283) | (~until5(s281)) | xuntil6(s283)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.09 tff(24205,plain,
% 14.29/10.09 (always3(s283)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24204, 22720, 24190])).
% 14.29/10.09 tff(24206,plain,
% 14.29/10.09 (always3(s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[23242, 24205])).
% 14.29/10.09 tff(24207,plain,
% 14.29/10.09 (~m_main_v_state(s284, c_busy)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24160, 85, 24206])).
% 14.29/10.09 tff(24208,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s283)) | (~m_main_v_state(s283, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s283)) | (~m_main_v_state(s283, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24209,plain,
% 14.29/10.09 (((~m_main_v_state(s283, c_busy)) | (~always3(s283))) <=> ((~always3(s283)) | (~m_main_v_state(s283, c_busy)))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24210,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s283, c_busy)) | (~always3(s283)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s283)) | (~m_main_v_state(s283, c_busy))))),
% 14.29/10.09 inference(monotonicity,[status(thm)],[24209])).
% 14.29/10.09 tff(24211,plain,
% 14.29/10.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s283, c_busy)) | (~always3(s283)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s283)) | (~m_main_v_state(s283, c_busy)))),
% 14.29/10.09 inference(transitivity,[status(thm)],[24210, 24208])).
% 14.29/10.09 tff(24212,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s283, c_busy)) | (~always3(s283)))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24213,plain,
% 14.29/10.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s283)) | (~m_main_v_state(s283, c_busy))),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24212, 24211])).
% 14.29/10.09 tff(24214,plain,
% 14.29/10.09 (~m_main_v_state(s283, c_busy)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24213, 85, 24205])).
% 14.29/10.09 tff(24215,plain,
% 14.29/10.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s283, c_busy) | m_main_v_state(s283, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s283, c_busy) | m_main_v_state(s283, c_ready))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24216,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s283, c_busy) | m_main_v_state(s283, c_ready))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24217,plain,
% 14.29/10.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s283, c_busy) | m_main_v_state(s283, c_ready)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24216, 24215])).
% 14.29/10.09 tff(24218,plain,
% 14.29/10.09 (m_main_v_state(s283, c_ready)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24217, 102, 24214])).
% 14.29/10.09 tff(24219,plain,
% 14.29/10.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s283, s284)) | node2(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s283, s284)) | node2(s283, s284))),
% 14.29/10.09 inference(rewrite,[status(thm)],[])).
% 14.29/10.09 tff(24220,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s283, s284)) | node2(s283, s284))),
% 14.29/10.09 inference(quant_inst,[status(thm)],[])).
% 14.29/10.09 tff(24221,plain,
% 14.29/10.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s283, s284)) | node2(s283, s284)),
% 14.29/10.09 inference(modus_ponens,[status(thm)],[24220, 24219])).
% 14.29/10.09 tff(24222,plain,
% 14.29/10.09 (node2(s283, s284)),
% 14.29/10.09 inference(unit_resolution,[status(thm)],[24221, 7, 23238])).
% 14.29/10.09 tff(24223,plain,
% 14.29/10.09 (((~![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(s283, c_ready)) | (~node2(s283, s284)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s283, c_ready)) | (~node2(s283, s284)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24224,plain,
% 14.29/10.10 ((~![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(s283, c_ready)) | (~node2(s283, s284)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24225,plain,
% 14.29/10.10 ((~![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(s283, c_ready)) | (~node2(s283, s284)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24224, 24223])).
% 14.29/10.10 tff(24226,plain,
% 14.29/10.10 ((~m_main_v_state(s283, c_ready)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24225, 73, 24222])).
% 14.29/10.10 tff(24227,plain,
% 14.29/10.10 (~m_main_v_request(s283)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24226, 24218, 24207])).
% 14.29/10.10 tff(24228,plain,
% 14.29/10.10 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s283) | (~node4(s283)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s283) | (~node4(s283)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24229,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s283) | (~node4(s283)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24230,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s283) | (~node4(s283))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24229, 24228])).
% 14.29/10.10 tff(24231,plain,
% 14.29/10.10 (~node4(s283)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24230, 21, 24227])).
% 14.29/10.10 tff(24232,plain,
% 14.29/10.10 (node4(s283) | (~until5(s283))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23310, 294, 24190])).
% 14.29/10.10 tff(24233,plain,
% 14.29/10.10 (~until5(s283)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24232, 24231])).
% 14.29/10.10 tff(24234,plain,
% 14.29/10.10 (~xuntil6(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23299, 24233])).
% 14.29/10.10 tff(24235,assumption,(~always3(s282)), introduced(assumption)).
% 14.29/10.10 tff(24236,plain,
% 14.29/10.10 (~always3(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23270, 24235])).
% 14.29/10.10 tff(24237,plain,
% 14.29/10.10 (~node4(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23274, 36, 24236])).
% 14.29/10.10 tff(24238,plain,
% 14.29/10.10 (xuntil6(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23282, 24237])).
% 14.29/10.10 tff(24239,plain,
% 14.29/10.10 (until5(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23287, 24238])).
% 14.29/10.10 tff(24240,assumption,(~xuntil6(s282)), introduced(assumption)).
% 14.29/10.10 tff(24241,plain,
% 14.29/10.10 (node4(s282) | (~until5(s282))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23294, 294, 24240])).
% 14.29/10.10 tff(24242,plain,
% 14.29/10.10 (node4(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24241, 24239])).
% 14.29/10.10 tff(24243,plain,
% 14.29/10.10 ($false),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23258, 36, 24235, 24242])).
% 14.29/10.10 tff(24244,plain,(always3(s282) | xuntil6(s282) | (~until5(s281))), inference(lemma,lemma(discharge,[]))).
% 14.29/10.10 tff(24245,plain,
% 14.29/10.10 (always3(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24244, 24234, 22720])).
% 14.29/10.10 tff(24246,plain,
% 14.29/10.10 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s282)) | (~m_main_v_state(s282, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s282)) | (~m_main_v_state(s282, c_busy)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24247,plain,
% 14.29/10.10 (((~m_main_v_state(s282, c_busy)) | (~always3(s282))) <=> ((~always3(s282)) | (~m_main_v_state(s282, c_busy)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24248,plain,
% 14.29/10.10 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s282, c_busy)) | (~always3(s282)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s282)) | (~m_main_v_state(s282, c_busy))))),
% 14.29/10.10 inference(monotonicity,[status(thm)],[24247])).
% 14.29/10.10 tff(24249,plain,
% 14.29/10.10 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s282, c_busy)) | (~always3(s282)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s282)) | (~m_main_v_state(s282, c_busy)))),
% 14.29/10.10 inference(transitivity,[status(thm)],[24248, 24246])).
% 14.29/10.10 tff(24250,plain,
% 14.29/10.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s282, c_busy)) | (~always3(s282)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24251,plain,
% 14.29/10.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s282)) | (~m_main_v_state(s282, c_busy))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24250, 24249])).
% 14.29/10.10 tff(24252,plain,
% 14.29/10.10 (~m_main_v_state(s282, c_busy)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24251, 85, 24245])).
% 14.29/10.10 tff(24253,plain,
% 14.29/10.10 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s282, c_busy) | m_main_v_state(s282, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s282, c_busy) | m_main_v_state(s282, c_ready))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24254,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s282, c_busy) | m_main_v_state(s282, c_ready))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24255,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s282, c_busy) | m_main_v_state(s282, c_ready)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24254, 24253])).
% 14.29/10.10 tff(24256,plain,
% 14.29/10.10 (m_main_v_state(s282, c_ready)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24255, 102, 24252])).
% 14.29/10.10 tff(24257,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s282, s283)) | node2(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s282, s283)) | node2(s282, s283))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24258,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s282, s283)) | node2(s282, s283))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24259,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s282, s283)) | node2(s282, s283)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24258, 24257])).
% 14.29/10.10 tff(24260,plain,
% 14.29/10.10 (node2(s282, s283)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24259, 7, 23250])).
% 14.29/10.10 tff(24261,plain,
% 14.29/10.10 (((~![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(s282, c_ready)) | (~node2(s282, s283)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s282, c_ready)) | (~node2(s282, s283)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24262,plain,
% 14.29/10.10 ((~![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(s282, c_ready)) | (~node2(s282, s283)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24263,plain,
% 14.29/10.10 ((~![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(s282, c_ready)) | (~node2(s282, s283)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24262, 24261])).
% 14.29/10.10 tff(24264,plain,
% 14.29/10.10 ((~m_main_v_state(s282, c_ready)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24263, 73, 24260])).
% 14.29/10.10 tff(24265,plain,
% 14.29/10.10 (~m_main_v_request(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24264, 24256, 24214])).
% 14.29/10.10 tff(24266,plain,
% 14.29/10.10 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s282) | (~node4(s282)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s282) | (~node4(s282)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24267,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s282) | (~node4(s282)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24268,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s282) | (~node4(s282))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24267, 24266])).
% 14.29/10.10 tff(24269,plain,
% 14.29/10.10 (~node4(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24268, 21, 24265])).
% 14.29/10.10 tff(24270,plain,
% 14.29/10.10 (node4(s282) | (~until5(s282))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23294, 294, 24234])).
% 14.29/10.10 tff(24271,plain,
% 14.29/10.10 (~until5(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24270, 24269])).
% 14.29/10.10 tff(24272,plain,
% 14.29/10.10 (~xuntil6(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23287, 24271])).
% 14.29/10.10 tff(24273,plain,
% 14.29/10.10 (node4(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23282, 24272])).
% 14.29/10.10 tff(24274,plain,
% 14.29/10.10 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s281) | (~node4(s281)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s281) | (~node4(s281)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24275,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s281) | (~node4(s281)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24276,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s281) | (~node4(s281))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24275, 24274])).
% 14.29/10.10 tff(24277,plain,
% 14.29/10.10 (m_main_v_request(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24276, 21, 24273])).
% 14.29/10.10 tff(24278,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s281, s282)) | node2(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s281, s282)) | node2(s281, s282))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24279,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s281, s282)) | node2(s281, s282))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24280,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s281, s282)) | node2(s281, s282)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24279, 24278])).
% 14.29/10.10 tff(24281,plain,
% 14.29/10.10 (node2(s281, s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24280, 7, 23266])).
% 14.29/10.10 tff(24282,plain,
% 14.29/10.10 (((~![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(s281, c_ready)) | (~node2(s281, s282)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s281, c_ready)) | (~node2(s281, s282)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24283,plain,
% 14.29/10.10 ((~![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(s281, c_ready)) | (~node2(s281, s282)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24284,plain,
% 14.29/10.10 ((~![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(s281, c_ready)) | (~node2(s281, s282)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24283, 24282])).
% 14.29/10.10 tff(24285,plain,
% 14.29/10.10 ((~m_main_v_state(s281, c_ready)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24284, 73, 24281])).
% 14.29/10.10 tff(24286,plain,
% 14.29/10.10 (~m_main_v_state(s281, c_ready)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24285, 24277, 24252])).
% 14.29/10.10 tff(24287,plain,
% 14.29/10.10 (always3(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23274, 36, 24273])).
% 14.29/10.10 tff(24288,plain,
% 14.29/10.10 (~m_main_v_state(s281, c_busy)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[21129, 85, 24287])).
% 14.29/10.10 tff(24289,plain,
% 14.29/10.10 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s281, c_busy) | m_main_v_state(s281, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s281, c_busy) | m_main_v_state(s281, c_ready))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24290,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s281, c_busy) | m_main_v_state(s281, c_ready))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24291,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s281, c_busy) | m_main_v_state(s281, c_ready)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 14.29/10.10 tff(24292,plain,
% 14.29/10.10 ($false),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24291, 102, 24288, 24286])).
% 14.29/10.10 tff(24293,plain,((~until5(s281)) | xuntil6(s301)), inference(lemma,lemma(discharge,[]))).
% 14.29/10.10 tff(24294,plain,
% 14.29/10.10 (xuntil6(s301)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24293, 22719])).
% 14.29/10.10 tff(24295,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24296,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24297,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24296, 24295])).
% 14.29/10.10 tff(24298,plain,
% 14.29/10.10 ((~xuntil6(s301)) | until5(s302)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24297, 23387, 312])).
% 14.29/10.10 tff(24299,plain,
% 14.29/10.10 (until5(s302)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24298, 24294])).
% 14.29/10.10 tff(24300,assumption,(until5(s302)), introduced(assumption)).
% 14.29/10.10 tff(24301,assumption,(~xuntil6(s304)), introduced(assumption)).
% 14.29/10.10 tff(24302,assumption,(until5(s304)), introduced(assumption)).
% 14.29/10.10 tff(24303,assumption,(m_main_v_state(s304, c_ready)), introduced(assumption)).
% 14.29/10.10 tff(24304,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s304) | node4(s304) | (~until5(s304)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s304) | node4(s304) | (~until5(s304)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24305,plain,
% 14.29/10.10 ((node4(s304) | (~until5(s304)) | xuntil6(s304)) <=> (xuntil6(s304) | node4(s304) | (~until5(s304)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24306,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s304) | (~until5(s304)) | xuntil6(s304))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s304) | node4(s304) | (~until5(s304))))),
% 14.29/10.10 inference(monotonicity,[status(thm)],[24305])).
% 14.29/10.10 tff(24307,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s304) | (~until5(s304)) | xuntil6(s304))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s304) | node4(s304) | (~until5(s304)))),
% 14.29/10.10 inference(transitivity,[status(thm)],[24306, 24304])).
% 14.29/10.10 tff(24308,plain,
% 14.29/10.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s304) | (~until5(s304)) | xuntil6(s304))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24309,plain,
% 14.29/10.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s304) | node4(s304) | (~until5(s304))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24308, 24307])).
% 14.29/10.10 tff(24310,plain,
% 14.29/10.10 (xuntil6(s304) | node4(s304)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24309, 294, 24302])).
% 14.29/10.10 tff(24311,plain,
% 14.29/10.10 (node4(s304)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24310, 24301])).
% 14.29/10.10 tff(24312,plain,
% 14.29/10.10 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s304) | (~node4(s304)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s304) | (~node4(s304)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24313,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s304) | (~node4(s304)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24314,plain,
% 14.29/10.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s304) | (~node4(s304))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24313, 24312])).
% 14.29/10.10 tff(24315,plain,
% 14.29/10.10 (m_main_v_request(s304)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24314, 21, 24311])).
% 14.29/10.10 tff(24316,assumption,(~always3(s304)), introduced(assumption)).
% 14.29/10.10 tff(24317,plain,
% 14.29/10.10 (succ(s303, s304) <=> succ(s303, s304)),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24318,axiom,(succ(s303, s304)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound304')).
% 14.29/10.10 tff(24319,plain,
% 14.29/10.10 (succ(s303, s304)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24318, 24317])).
% 14.29/10.10 tff(24320,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24321,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24322,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24321, 24320])).
% 14.29/10.10 tff(24323,plain,
% 14.29/10.10 (trans(s303, s304)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24322, 24319, 52])).
% 14.29/10.10 tff(24324,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s303, s304)) | (~always3(s303)) | always3(s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s303, s304)) | (~always3(s303)) | always3(s304))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24325,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s303, s304)) | (~always3(s303)) | always3(s304))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24326,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s303, s304)) | (~always3(s303)) | always3(s304)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24325, 24324])).
% 14.29/10.10 tff(24327,plain,
% 14.29/10.10 ((~always3(s303)) | always3(s304)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24326, 125, 24323])).
% 14.29/10.10 tff(24328,plain,
% 14.29/10.10 (~always3(s303)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24327, 24316])).
% 14.29/10.10 tff(24329,plain,
% 14.29/10.10 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s303) | (~node4(s303)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s303) | (~node4(s303)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24330,plain,
% 14.29/10.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s303) | (~node4(s303)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24331,plain,
% 14.29/10.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s303) | (~node4(s303))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24330, 24329])).
% 14.29/10.10 tff(24332,plain,
% 14.29/10.10 (~node4(s303)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24331, 36, 24328])).
% 14.29/10.10 tff(24333,plain,
% 14.29/10.10 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s304) | (~node4(s304)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s304) | (~node4(s304)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24334,plain,
% 14.29/10.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s304) | (~node4(s304)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24335,plain,
% 14.29/10.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s304) | (~node4(s304))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24334, 24333])).
% 14.29/10.10 tff(24336,plain,
% 14.29/10.10 (~node4(s304)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24335, 36, 24316])).
% 14.29/10.10 tff(24337,plain,
% 14.29/10.10 (node4(s304) | (~until5(s304))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24309, 294, 24301])).
% 14.29/10.10 tff(24338,plain,
% 14.29/10.10 (~until5(s304)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24337, 24336])).
% 14.29/10.10 tff(24339,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24340,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24341,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24340, 24339])).
% 14.29/10.10 tff(24342,plain,
% 14.29/10.10 ((~xuntil6(s303)) | until5(s304)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24341, 24319, 312])).
% 14.29/10.10 tff(24343,plain,
% 14.29/10.10 (~xuntil6(s303)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24342, 24338])).
% 14.29/10.10 tff(24344,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s303) | node4(s303) | (~until5(s303)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s303) | node4(s303) | (~until5(s303)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24345,plain,
% 14.29/10.10 ((node4(s303) | (~until5(s303)) | xuntil6(s303)) <=> (xuntil6(s303) | node4(s303) | (~until5(s303)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24346,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s303) | (~until5(s303)) | xuntil6(s303))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s303) | node4(s303) | (~until5(s303))))),
% 14.29/10.10 inference(monotonicity,[status(thm)],[24345])).
% 14.29/10.10 tff(24347,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s303) | (~until5(s303)) | xuntil6(s303))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s303) | node4(s303) | (~until5(s303)))),
% 14.29/10.10 inference(transitivity,[status(thm)],[24346, 24344])).
% 14.29/10.10 tff(24348,plain,
% 14.29/10.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s303) | (~until5(s303)) | xuntil6(s303))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24349,plain,
% 14.29/10.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s303) | node4(s303) | (~until5(s303))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24348, 24347])).
% 14.29/10.10 tff(24350,plain,
% 14.29/10.10 (~until5(s303)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24349, 294, 24343, 24332])).
% 14.29/10.10 tff(24351,plain,
% 14.29/10.10 (succ(s302, s303) <=> succ(s302, s303)),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24352,axiom,(succ(s302, s303)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound303')).
% 14.29/10.10 tff(24353,plain,
% 14.29/10.10 (succ(s302, s303)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 14.29/10.10 tff(24354,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24355,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24356,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24355, 24354])).
% 14.29/10.10 tff(24357,plain,
% 14.29/10.10 ((~xuntil6(s302)) | until5(s303)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24356, 24353, 312])).
% 14.29/10.10 tff(24358,plain,
% 14.29/10.10 (~xuntil6(s302)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24357, 24350])).
% 14.29/10.10 tff(24359,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24360,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24361,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24360, 24359])).
% 14.29/10.10 tff(24362,plain,
% 14.29/10.10 (trans(s302, s303)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24361, 24353, 52])).
% 14.29/10.10 tff(24363,plain,
% 14.29/10.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s302, s303)) | (~always3(s302)) | always3(s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s302, s303)) | (~always3(s302)) | always3(s303))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24364,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s302, s303)) | (~always3(s302)) | always3(s303))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24365,plain,
% 14.29/10.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s302, s303)) | (~always3(s302)) | always3(s303)),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24364, 24363])).
% 14.29/10.10 tff(24366,plain,
% 14.29/10.10 ((~always3(s302)) | always3(s303)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24365, 125, 24362])).
% 14.29/10.10 tff(24367,plain,
% 14.29/10.10 (~always3(s302)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24366, 24328])).
% 14.29/10.10 tff(24368,plain,
% 14.29/10.10 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s302) | (~node4(s302)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s302) | (~node4(s302)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24369,plain,
% 14.29/10.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s302) | (~node4(s302)))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24370,plain,
% 14.29/10.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s302) | (~node4(s302))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24369, 24368])).
% 14.29/10.10 tff(24371,plain,
% 14.29/10.10 (~node4(s302)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24370, 36, 24367])).
% 14.29/10.10 tff(24372,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s302) | node4(s302) | (~until5(s302)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s302) | node4(s302) | (~until5(s302)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24373,plain,
% 14.29/10.10 ((node4(s302) | (~until5(s302)) | xuntil6(s302)) <=> (xuntil6(s302) | node4(s302) | (~until5(s302)))),
% 14.29/10.10 inference(rewrite,[status(thm)],[])).
% 14.29/10.10 tff(24374,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s302) | (~until5(s302)) | xuntil6(s302))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s302) | node4(s302) | (~until5(s302))))),
% 14.29/10.10 inference(monotonicity,[status(thm)],[24373])).
% 14.29/10.10 tff(24375,plain,
% 14.29/10.10 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s302) | (~until5(s302)) | xuntil6(s302))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s302) | node4(s302) | (~until5(s302)))),
% 14.29/10.10 inference(transitivity,[status(thm)],[24374, 24372])).
% 14.29/10.10 tff(24376,plain,
% 14.29/10.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s302) | (~until5(s302)) | xuntil6(s302))),
% 14.29/10.10 inference(quant_inst,[status(thm)],[])).
% 14.29/10.10 tff(24377,plain,
% 14.29/10.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s302) | node4(s302) | (~until5(s302))),
% 14.29/10.10 inference(modus_ponens,[status(thm)],[24376, 24375])).
% 14.29/10.10 tff(24378,plain,
% 14.29/10.10 (xuntil6(s302) | (~until5(s302))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24377, 294, 24371])).
% 14.29/10.10 tff(24379,plain,
% 14.29/10.10 (~until5(s302)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24378, 24358])).
% 14.29/10.10 tff(24380,plain,
% 14.29/10.10 (~xuntil6(s301)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24298, 24379])).
% 14.29/10.10 tff(24381,plain,
% 14.29/10.10 (~always3(s301)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23395, 24367])).
% 14.29/10.10 tff(24382,plain,
% 14.29/10.10 (~node4(s301)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22893, 36, 24381])).
% 14.29/10.10 tff(24383,plain,
% 14.29/10.10 (xuntil6(s301) | (~until5(s301))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22900, 294, 24382])).
% 14.29/10.10 tff(24384,plain,
% 14.29/10.10 (~until5(s301)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24383, 24380])).
% 14.29/10.10 tff(24385,plain,
% 14.29/10.10 (~xuntil6(s300)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22906, 24384])).
% 14.29/10.10 tff(24386,plain,
% 14.29/10.10 (~always3(s300)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22733, 24381])).
% 14.29/10.10 tff(24387,plain,
% 14.29/10.10 (~node4(s300)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22889, 36, 24386])).
% 14.29/10.10 tff(24388,plain,
% 14.29/10.10 (xuntil6(s300) | (~until5(s300))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22913, 294, 24387])).
% 14.29/10.10 tff(24389,plain,
% 14.29/10.10 (~until5(s300)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24388, 24385])).
% 14.29/10.10 tff(24390,plain,
% 14.29/10.10 (~xuntil6(s299)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22918, 24389])).
% 14.29/10.10 tff(24391,plain,
% 14.29/10.10 (~always3(s299)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22745, 24386])).
% 14.29/10.10 tff(24392,plain,
% 14.29/10.10 (~node4(s299)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22922, 36, 24391])).
% 14.29/10.10 tff(24393,plain,
% 14.29/10.10 (xuntil6(s299) | (~until5(s299))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22929, 294, 24392])).
% 14.29/10.10 tff(24394,plain,
% 14.29/10.10 (~until5(s299)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24393, 24390])).
% 14.29/10.10 tff(24395,plain,
% 14.29/10.10 (~xuntil6(s298)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22935, 24394])).
% 14.29/10.10 tff(24396,plain,
% 14.29/10.10 (~always3(s298)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22757, 24391])).
% 14.29/10.10 tff(24397,plain,
% 14.29/10.10 (~node4(s298)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22939, 36, 24396])).
% 14.29/10.10 tff(24398,plain,
% 14.29/10.10 (xuntil6(s298) | (~until5(s298))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22946, 294, 24397])).
% 14.29/10.10 tff(24399,plain,
% 14.29/10.10 (~until5(s298)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24398, 24395])).
% 14.29/10.10 tff(24400,plain,
% 14.29/10.10 (~xuntil6(s297)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22952, 24399])).
% 14.29/10.10 tff(24401,plain,
% 14.29/10.10 (~always3(s297)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22769, 24396])).
% 14.29/10.10 tff(24402,plain,
% 14.29/10.10 (~node4(s297)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22956, 36, 24401])).
% 14.29/10.10 tff(24403,plain,
% 14.29/10.10 (xuntil6(s297) | (~until5(s297))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22963, 294, 24402])).
% 14.29/10.10 tff(24404,plain,
% 14.29/10.10 (~until5(s297)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24403, 24400])).
% 14.29/10.10 tff(24405,plain,
% 14.29/10.10 (~xuntil6(s296)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22969, 24404])).
% 14.29/10.10 tff(24406,plain,
% 14.29/10.10 (~always3(s296)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22781, 24401])).
% 14.29/10.10 tff(24407,plain,
% 14.29/10.10 (~node4(s296)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23058, 36, 24406])).
% 14.29/10.10 tff(24408,plain,
% 14.29/10.10 (xuntil6(s296) | (~until5(s296))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23065, 294, 24407])).
% 14.29/10.10 tff(24409,plain,
% 14.29/10.10 (~until5(s296)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24408, 24405])).
% 14.29/10.10 tff(24410,plain,
% 14.29/10.10 (~xuntil6(s295)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23054, 24409])).
% 14.29/10.10 tff(24411,plain,
% 14.29/10.10 (~always3(s295)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22793, 24406])).
% 14.29/10.10 tff(24412,plain,
% 14.29/10.10 (~node4(s295)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23041, 36, 24411])).
% 14.29/10.10 tff(24413,plain,
% 14.29/10.10 (xuntil6(s295) | (~until5(s295))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23048, 294, 24412])).
% 14.29/10.10 tff(24414,plain,
% 14.29/10.10 (~until5(s295)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24413, 24410])).
% 14.29/10.10 tff(24415,plain,
% 14.29/10.10 (~xuntil6(s294)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23037, 24414])).
% 14.29/10.10 tff(24416,plain,
% 14.29/10.10 (~always3(s294)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22805, 24411])).
% 14.29/10.10 tff(24417,plain,
% 14.29/10.10 (~node4(s294)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23024, 36, 24416])).
% 14.29/10.10 tff(24418,plain,
% 14.29/10.10 (xuntil6(s294) | (~until5(s294))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23031, 294, 24417])).
% 14.29/10.10 tff(24419,plain,
% 14.29/10.10 (~until5(s294)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24418, 24415])).
% 14.29/10.10 tff(24420,plain,
% 14.29/10.10 (~xuntil6(s293)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23020, 24419])).
% 14.29/10.10 tff(24421,plain,
% 14.29/10.10 (~always3(s293)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22817, 24416])).
% 14.29/10.10 tff(24422,plain,
% 14.29/10.10 (~node4(s293)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23007, 36, 24421])).
% 14.29/10.10 tff(24423,plain,
% 14.29/10.10 (xuntil6(s293) | (~until5(s293))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23014, 294, 24422])).
% 14.29/10.10 tff(24424,plain,
% 14.29/10.10 (~until5(s293)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24423, 24420])).
% 14.29/10.10 tff(24425,plain,
% 14.29/10.10 (~xuntil6(s292)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23003, 24424])).
% 14.29/10.10 tff(24426,plain,
% 14.29/10.10 (~always3(s292)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22829, 24421])).
% 14.29/10.10 tff(24427,plain,
% 14.29/10.10 (~node4(s292)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22973, 36, 24426])).
% 14.29/10.10 tff(24428,plain,
% 14.29/10.10 (xuntil6(s292) | (~until5(s292))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22998, 294, 24427])).
% 14.29/10.10 tff(24429,plain,
% 14.29/10.10 (~until5(s292)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24428, 24425])).
% 14.29/10.10 tff(24430,plain,
% 14.29/10.10 (~xuntil6(s291)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22991, 24429])).
% 14.29/10.10 tff(24431,plain,
% 14.29/10.10 (~always3(s291)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22841, 24426])).
% 14.29/10.10 tff(24432,plain,
% 14.29/10.10 (~node4(s291)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22977, 36, 24431])).
% 14.29/10.10 tff(24433,plain,
% 14.29/10.10 (xuntil6(s291) | (~until5(s291))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22985, 294, 24432])).
% 14.29/10.10 tff(24434,plain,
% 14.29/10.10 (~until5(s291)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24433, 24430])).
% 14.29/10.10 tff(24435,plain,
% 14.29/10.10 (~xuntil6(s290)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23073, 24434])).
% 14.29/10.10 tff(24436,plain,
% 14.29/10.10 (~always3(s290)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22853, 24431])).
% 14.29/10.10 tff(24437,plain,
% 14.29/10.10 (~node4(s290)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22885, 36, 24436])).
% 14.29/10.10 tff(24438,plain,
% 14.29/10.10 (xuntil6(s290) | (~until5(s290))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23080, 294, 24437])).
% 14.29/10.10 tff(24439,plain,
% 14.29/10.10 (~until5(s290)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24438, 24435])).
% 14.29/10.10 tff(24440,plain,
% 14.29/10.10 (~xuntil6(s289)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23085, 24439])).
% 14.29/10.10 tff(24441,plain,
% 14.29/10.10 (~always3(s289)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22865, 24436])).
% 14.29/10.10 tff(24442,plain,
% 14.29/10.10 (~node4(s289)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23094, 36, 24441])).
% 14.29/10.10 tff(24443,plain,
% 14.29/10.10 (xuntil6(s289) | (~until5(s289))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23130, 294, 24442])).
% 14.29/10.10 tff(24444,plain,
% 14.29/10.10 (~until5(s289)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24443, 24440])).
% 14.29/10.10 tff(24445,plain,
% 14.29/10.10 (~xuntil6(s288)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23136, 24444])).
% 14.29/10.10 tff(24446,plain,
% 14.29/10.10 (~always3(s288)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22877, 24441])).
% 14.29/10.10 tff(24447,plain,
% 14.29/10.10 (~node4(s288)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22881, 36, 24446])).
% 14.29/10.10 tff(24448,plain,
% 14.29/10.10 (xuntil6(s288) | (~until5(s288))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23143, 294, 24447])).
% 14.29/10.10 tff(24449,plain,
% 14.29/10.10 (~until5(s288)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24448, 24445])).
% 14.29/10.10 tff(24450,plain,
% 14.29/10.10 (~xuntil6(s287)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23151, 24449])).
% 14.29/10.10 tff(24451,plain,
% 14.29/10.10 (~always3(s287)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23160, 24446])).
% 14.29/10.10 tff(24452,plain,
% 14.29/10.10 (~node4(s287)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23164, 36, 24451])).
% 14.29/10.10 tff(24453,plain,
% 14.29/10.10 (xuntil6(s287) | (~until5(s287))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23171, 294, 24452])).
% 14.29/10.10 tff(24454,plain,
% 14.29/10.10 (~until5(s287)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24453, 24450])).
% 14.29/10.10 tff(24455,plain,
% 14.29/10.10 (~xuntil6(s286)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23180, 24454])).
% 14.29/10.10 tff(24456,plain,
% 14.29/10.10 (~always3(s286)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23189, 24451])).
% 14.29/10.10 tff(24457,plain,
% 14.29/10.10 (~node4(s286)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23193, 36, 24456])).
% 14.29/10.10 tff(24458,plain,
% 14.29/10.10 (xuntil6(s286) | (~until5(s286))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23200, 294, 24457])).
% 14.29/10.10 tff(24459,plain,
% 14.29/10.10 (~until5(s286)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24458, 24455])).
% 14.29/10.10 tff(24460,plain,
% 14.29/10.10 (~xuntil6(s285)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23209, 24459])).
% 14.29/10.10 tff(24461,plain,
% 14.29/10.10 (~always3(s285)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23218, 24456])).
% 14.29/10.10 tff(24462,plain,
% 14.29/10.10 (~node4(s285)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23337, 36, 24461])).
% 14.29/10.10 tff(24463,plain,
% 14.29/10.10 (xuntil6(s285) | (~until5(s285))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23344, 294, 24462])).
% 14.29/10.10 tff(24464,plain,
% 14.29/10.10 (~until5(s285)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24463, 24460])).
% 14.29/10.10 tff(24465,plain,
% 14.29/10.10 (~xuntil6(s284)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23333, 24464])).
% 14.29/10.10 tff(24466,plain,
% 14.29/10.10 (~always3(s284)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23230, 24461])).
% 14.29/10.10 tff(24467,plain,
% 14.29/10.10 (~node4(s284)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23320, 36, 24466])).
% 14.29/10.10 tff(24468,plain,
% 14.29/10.10 (xuntil6(s284) | (~until5(s284))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23327, 294, 24467])).
% 14.29/10.10 tff(24469,plain,
% 14.29/10.10 (~until5(s284)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24468, 24465])).
% 14.29/10.10 tff(24470,plain,
% 14.29/10.10 (~xuntil6(s283)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23316, 24469])).
% 14.29/10.10 tff(24471,plain,
% 14.29/10.10 (~always3(s283)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23242, 24466])).
% 14.29/10.10 tff(24472,plain,
% 14.29/10.10 (~node4(s283)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23303, 36, 24471])).
% 14.29/10.10 tff(24473,plain,
% 14.29/10.10 (xuntil6(s283) | (~until5(s283))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23310, 294, 24472])).
% 14.29/10.10 tff(24474,plain,
% 14.29/10.10 (~until5(s283)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24473, 24470])).
% 14.29/10.10 tff(24475,plain,
% 14.29/10.10 (~xuntil6(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23299, 24474])).
% 14.29/10.10 tff(24476,plain,
% 14.29/10.10 (~always3(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23254, 24471])).
% 14.29/10.10 tff(24477,plain,
% 14.29/10.10 (~node4(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23258, 36, 24476])).
% 14.29/10.10 tff(24478,plain,
% 14.29/10.10 (xuntil6(s282) | (~until5(s282))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23294, 294, 24477])).
% 14.29/10.10 tff(24479,plain,
% 14.29/10.10 (~until5(s282)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24478, 24475])).
% 14.29/10.10 tff(24480,plain,
% 14.29/10.10 (~xuntil6(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23287, 24479])).
% 14.29/10.10 tff(24481,plain,
% 14.29/10.10 (~always3(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23270, 24476])).
% 14.29/10.10 tff(24482,plain,
% 14.29/10.10 (~node4(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23274, 36, 24481])).
% 14.29/10.10 tff(24483,plain,
% 14.29/10.10 (xuntil6(s281) | (~until5(s281))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[23281, 294, 24482])).
% 14.29/10.10 tff(24484,plain,
% 14.29/10.10 (~until5(s281)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24483, 24480])).
% 14.29/10.10 tff(24485,plain,
% 14.29/10.10 (~xuntil6(s280)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[22718, 24484])).
% 14.29/10.10 tff(24486,plain,
% 14.29/10.10 (~always3(s280)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[21122, 24481])).
% 14.29/10.10 tff(24487,plain,
% 14.29/10.10 (~node4(s280)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20009, 36, 24486])).
% 14.29/10.10 tff(24488,plain,
% 14.29/10.10 (xuntil6(s280) | (~until5(s280))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20016, 294, 24487])).
% 14.29/10.10 tff(24489,plain,
% 14.29/10.10 (~until5(s280)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24488, 24485])).
% 14.29/10.10 tff(24490,plain,
% 14.29/10.10 (~xuntil6(s279)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20022, 24489])).
% 14.29/10.10 tff(24491,plain,
% 14.29/10.10 (~always3(s279)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20001, 24486])).
% 14.29/10.10 tff(24492,plain,
% 14.29/10.10 (~node4(s279)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20005, 36, 24491])).
% 14.29/10.10 tff(24493,plain,
% 14.29/10.10 (xuntil6(s279) | (~until5(s279))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20029, 294, 24492])).
% 14.29/10.10 tff(24494,plain,
% 14.29/10.10 (~until5(s279)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24493, 24490])).
% 14.29/10.10 tff(24495,plain,
% 14.29/10.10 (~xuntil6(s278)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20037, 24494])).
% 14.29/10.10 tff(24496,plain,
% 14.29/10.10 (~always3(s278)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20046, 24491])).
% 14.29/10.10 tff(24497,plain,
% 14.29/10.10 (~node4(s278)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20050, 36, 24496])).
% 14.29/10.10 tff(24498,plain,
% 14.29/10.10 (xuntil6(s278) | (~until5(s278))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20057, 294, 24497])).
% 14.29/10.10 tff(24499,plain,
% 14.29/10.10 (~until5(s278)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24498, 24495])).
% 14.29/10.10 tff(24500,plain,
% 14.29/10.10 (~xuntil6(s277)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20066, 24499])).
% 14.29/10.10 tff(24501,plain,
% 14.29/10.10 (~always3(s277)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20075, 24496])).
% 14.29/10.10 tff(24502,plain,
% 14.29/10.10 (~node4(s277)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20079, 36, 24501])).
% 14.29/10.10 tff(24503,plain,
% 14.29/10.10 (xuntil6(s277) | (~until5(s277))),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[20086, 294, 24502])).
% 14.29/10.10 tff(24504,plain,
% 14.29/10.10 (~until5(s277)),
% 14.29/10.10 inference(unit_resolution,[status(thm)],[24503, 24500])).
% 14.29/10.11 tff(24505,plain,
% 14.29/10.11 (~xuntil6(s276)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20095, 24504])).
% 14.29/10.11 tff(24506,plain,
% 14.29/10.11 (~always3(s276)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20104, 24501])).
% 14.29/10.11 tff(24507,plain,
% 14.29/10.11 (~node4(s276)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20108, 36, 24506])).
% 14.29/10.11 tff(24508,plain,
% 14.29/10.11 (xuntil6(s276) | (~until5(s276))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20115, 294, 24507])).
% 14.29/10.11 tff(24509,plain,
% 14.29/10.11 (~until5(s276)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24508, 24505])).
% 14.29/10.11 tff(24510,plain,
% 14.29/10.11 (~xuntil6(s275)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20124, 24509])).
% 14.29/10.11 tff(24511,plain,
% 14.29/10.11 (~always3(s275)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20133, 24506])).
% 14.29/10.11 tff(24512,plain,
% 14.29/10.11 (~node4(s275)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20137, 36, 24511])).
% 14.29/10.11 tff(24513,plain,
% 14.29/10.11 (xuntil6(s275) | (~until5(s275))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20144, 294, 24512])).
% 14.29/10.11 tff(24514,plain,
% 14.29/10.11 (~until5(s275)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24513, 24510])).
% 14.29/10.11 tff(24515,plain,
% 14.29/10.11 (~xuntil6(s274)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20153, 24514])).
% 14.29/10.11 tff(24516,plain,
% 14.29/10.11 (~always3(s274)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20162, 24511])).
% 14.29/10.11 tff(24517,plain,
% 14.29/10.11 (~node4(s274)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20166, 36, 24516])).
% 14.29/10.11 tff(24518,plain,
% 14.29/10.11 (xuntil6(s274) | (~until5(s274))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20173, 294, 24517])).
% 14.29/10.11 tff(24519,plain,
% 14.29/10.11 (~until5(s274)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24518, 24515])).
% 14.29/10.11 tff(24520,plain,
% 14.29/10.11 (~xuntil6(s273)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20182, 24519])).
% 14.29/10.11 tff(24521,plain,
% 14.29/10.11 (~always3(s273)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20191, 24516])).
% 14.29/10.11 tff(24522,plain,
% 14.29/10.11 (~node4(s273)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20195, 36, 24521])).
% 14.29/10.11 tff(24523,plain,
% 14.29/10.11 (xuntil6(s273) | (~until5(s273))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20202, 294, 24522])).
% 14.29/10.11 tff(24524,plain,
% 14.29/10.11 (~until5(s273)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24523, 24520])).
% 14.29/10.11 tff(24525,plain,
% 14.29/10.11 (~xuntil6(s272)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20211, 24524])).
% 14.29/10.11 tff(24526,plain,
% 14.29/10.11 (~always3(s272)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20220, 24521])).
% 14.29/10.11 tff(24527,plain,
% 14.29/10.11 (~node4(s272)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20224, 36, 24526])).
% 14.29/10.11 tff(24528,plain,
% 14.29/10.11 (xuntil6(s272) | (~until5(s272))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20231, 294, 24527])).
% 14.29/10.11 tff(24529,plain,
% 14.29/10.11 (~until5(s272)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24528, 24525])).
% 14.29/10.11 tff(24530,plain,
% 14.29/10.11 (~xuntil6(s271)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20240, 24529])).
% 14.29/10.11 tff(24531,plain,
% 14.29/10.11 (~always3(s271)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20249, 24526])).
% 14.29/10.11 tff(24532,plain,
% 14.29/10.11 (~node4(s271)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20253, 36, 24531])).
% 14.29/10.11 tff(24533,plain,
% 14.29/10.11 (xuntil6(s271) | (~until5(s271))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20260, 294, 24532])).
% 14.29/10.11 tff(24534,plain,
% 14.29/10.11 (~until5(s271)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24533, 24530])).
% 14.29/10.11 tff(24535,plain,
% 14.29/10.11 (~xuntil6(s270)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20269, 24534])).
% 14.29/10.11 tff(24536,plain,
% 14.29/10.11 (~always3(s270)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20278, 24531])).
% 14.29/10.11 tff(24537,plain,
% 14.29/10.11 (~node4(s270)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20282, 36, 24536])).
% 14.29/10.11 tff(24538,plain,
% 14.29/10.11 (xuntil6(s270) | (~until5(s270))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20289, 294, 24537])).
% 14.29/10.11 tff(24539,plain,
% 14.29/10.11 (~until5(s270)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24538, 24535])).
% 14.29/10.11 tff(24540,plain,
% 14.29/10.11 (~xuntil6(s269)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20298, 24539])).
% 14.29/10.11 tff(24541,plain,
% 14.29/10.11 (~always3(s269)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20307, 24536])).
% 14.29/10.11 tff(24542,plain,
% 14.29/10.11 (~node4(s269)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20311, 36, 24541])).
% 14.29/10.11 tff(24543,plain,
% 14.29/10.11 (xuntil6(s269) | (~until5(s269))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20318, 294, 24542])).
% 14.29/10.11 tff(24544,plain,
% 14.29/10.11 (~until5(s269)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24543, 24540])).
% 14.29/10.11 tff(24545,plain,
% 14.29/10.11 (~xuntil6(s268)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20327, 24544])).
% 14.29/10.11 tff(24546,plain,
% 14.29/10.11 (~always3(s268)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20336, 24541])).
% 14.29/10.11 tff(24547,plain,
% 14.29/10.11 (~node4(s268)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20340, 36, 24546])).
% 14.29/10.11 tff(24548,plain,
% 14.29/10.11 (xuntil6(s268) | (~until5(s268))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20347, 294, 24547])).
% 14.29/10.11 tff(24549,plain,
% 14.29/10.11 (~until5(s268)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24548, 24545])).
% 14.29/10.11 tff(24550,plain,
% 14.29/10.11 (~xuntil6(s267)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20356, 24549])).
% 14.29/10.11 tff(24551,plain,
% 14.29/10.11 (~always3(s267)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20365, 24546])).
% 14.29/10.11 tff(24552,plain,
% 14.29/10.11 (~node4(s267)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20369, 36, 24551])).
% 14.29/10.11 tff(24553,plain,
% 14.29/10.11 (xuntil6(s267) | (~until5(s267))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20376, 294, 24552])).
% 14.29/10.11 tff(24554,plain,
% 14.29/10.11 (~until5(s267)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24553, 24550])).
% 14.29/10.11 tff(24555,plain,
% 14.29/10.11 (~xuntil6(s266)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20385, 24554])).
% 14.29/10.11 tff(24556,plain,
% 14.29/10.11 (~always3(s266)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20394, 24551])).
% 14.29/10.11 tff(24557,plain,
% 14.29/10.11 (~node4(s266)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20398, 36, 24556])).
% 14.29/10.11 tff(24558,plain,
% 14.29/10.11 (xuntil6(s266) | (~until5(s266))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20405, 294, 24557])).
% 14.29/10.11 tff(24559,plain,
% 14.29/10.11 (~until5(s266)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24558, 24555])).
% 14.29/10.11 tff(24560,plain,
% 14.29/10.11 (~xuntil6(s265)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20414, 24559])).
% 14.29/10.11 tff(24561,plain,
% 14.29/10.11 (~always3(s265)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20423, 24556])).
% 14.29/10.11 tff(24562,plain,
% 14.29/10.11 (~node4(s265)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20427, 36, 24561])).
% 14.29/10.11 tff(24563,plain,
% 14.29/10.11 (xuntil6(s265) | (~until5(s265))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20434, 294, 24562])).
% 14.29/10.11 tff(24564,plain,
% 14.29/10.11 (~until5(s265)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24563, 24560])).
% 14.29/10.11 tff(24565,plain,
% 14.29/10.11 (~xuntil6(s264)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20443, 24564])).
% 14.29/10.11 tff(24566,plain,
% 14.29/10.11 (~always3(s264)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20452, 24561])).
% 14.29/10.11 tff(24567,plain,
% 14.29/10.11 (~node4(s264)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20456, 36, 24566])).
% 14.29/10.11 tff(24568,plain,
% 14.29/10.11 (xuntil6(s264) | (~until5(s264))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20463, 294, 24567])).
% 14.29/10.11 tff(24569,plain,
% 14.29/10.11 (~until5(s264)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24568, 24565])).
% 14.29/10.11 tff(24570,plain,
% 14.29/10.11 (~xuntil6(s263)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20472, 24569])).
% 14.29/10.11 tff(24571,plain,
% 14.29/10.11 (~always3(s263)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20481, 24566])).
% 14.29/10.11 tff(24572,plain,
% 14.29/10.11 (~node4(s263)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20485, 36, 24571])).
% 14.29/10.11 tff(24573,plain,
% 14.29/10.11 (xuntil6(s263) | (~until5(s263))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20492, 294, 24572])).
% 14.29/10.11 tff(24574,plain,
% 14.29/10.11 (~until5(s263)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24573, 24570])).
% 14.29/10.11 tff(24575,plain,
% 14.29/10.11 (~xuntil6(s262)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20501, 24574])).
% 14.29/10.11 tff(24576,plain,
% 14.29/10.11 (~always3(s262)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20510, 24571])).
% 14.29/10.11 tff(24577,plain,
% 14.29/10.11 (~node4(s262)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20514, 36, 24576])).
% 14.29/10.11 tff(24578,plain,
% 14.29/10.11 (xuntil6(s262) | (~until5(s262))),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20521, 294, 24577])).
% 14.29/10.11 tff(24579,plain,
% 14.29/10.11 (~until5(s262)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[24578, 24575])).
% 14.29/10.11 tff(24580,plain,
% 14.29/10.11 (~xuntil6(s261)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20530, 24579])).
% 14.29/10.11 tff(24581,plain,
% 14.29/10.11 (~always3(s261)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20539, 24576])).
% 14.29/10.11 tff(24582,plain,
% 14.29/10.11 (~node4(s261)),
% 14.29/10.11 inference(unit_resolution,[status(thm)],[20543, 36, 24581])).
% 14.40/10.11 tff(24583,plain,
% 14.40/10.11 (xuntil6(s261) | (~until5(s261))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20550, 294, 24582])).
% 14.40/10.11 tff(24584,plain,
% 14.40/10.11 (~until5(s261)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24583, 24580])).
% 14.40/10.11 tff(24585,plain,
% 14.40/10.11 (~xuntil6(s260)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20559, 24584])).
% 14.40/10.11 tff(24586,plain,
% 14.40/10.11 (~always3(s260)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20568, 24581])).
% 14.40/10.11 tff(24587,plain,
% 14.40/10.11 (~node4(s260)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20572, 36, 24586])).
% 14.40/10.11 tff(24588,plain,
% 14.40/10.11 (xuntil6(s260) | (~until5(s260))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20579, 294, 24587])).
% 14.40/10.11 tff(24589,plain,
% 14.40/10.11 (~until5(s260)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24588, 24585])).
% 14.40/10.11 tff(24590,plain,
% 14.40/10.11 (~xuntil6(s259)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20588, 24589])).
% 14.40/10.11 tff(24591,plain,
% 14.40/10.11 (~always3(s259)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20597, 24586])).
% 14.40/10.11 tff(24592,plain,
% 14.40/10.11 (~node4(s259)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20601, 36, 24591])).
% 14.40/10.11 tff(24593,plain,
% 14.40/10.11 (xuntil6(s259) | (~until5(s259))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20608, 294, 24592])).
% 14.40/10.11 tff(24594,plain,
% 14.40/10.11 (~until5(s259)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24593, 24590])).
% 14.40/10.11 tff(24595,plain,
% 14.40/10.11 (~xuntil6(s258)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20617, 24594])).
% 14.40/10.11 tff(24596,plain,
% 14.40/10.11 (~always3(s258)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20626, 24591])).
% 14.40/10.11 tff(24597,plain,
% 14.40/10.11 (~node4(s258)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20630, 36, 24596])).
% 14.40/10.11 tff(24598,plain,
% 14.40/10.11 (xuntil6(s258) | (~until5(s258))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20637, 294, 24597])).
% 14.40/10.11 tff(24599,plain,
% 14.40/10.11 (~until5(s258)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24598, 24595])).
% 14.40/10.11 tff(24600,plain,
% 14.40/10.11 (~xuntil6(s257)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20646, 24599])).
% 14.40/10.11 tff(24601,plain,
% 14.40/10.11 (~always3(s257)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20655, 24596])).
% 14.40/10.11 tff(24602,plain,
% 14.40/10.11 (~node4(s257)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20659, 36, 24601])).
% 14.40/10.11 tff(24603,plain,
% 14.40/10.11 (xuntil6(s257) | (~until5(s257))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20666, 294, 24602])).
% 14.40/10.11 tff(24604,plain,
% 14.40/10.11 (~until5(s257)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24603, 24600])).
% 14.40/10.11 tff(24605,plain,
% 14.40/10.11 (~xuntil6(s256)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20672, 24604])).
% 14.40/10.11 tff(24606,plain,
% 14.40/10.11 (~always3(s256)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19912, 24601])).
% 14.40/10.11 tff(24607,plain,
% 14.40/10.11 (~node4(s256)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20677, 36, 24606])).
% 14.40/10.11 tff(24608,plain,
% 14.40/10.11 (xuntil6(s256) | (~until5(s256))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[20684, 294, 24607])).
% 14.40/10.11 tff(24609,plain,
% 14.40/10.11 (~until5(s256)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24608, 24605])).
% 14.40/10.11 tff(24610,plain,
% 14.40/10.11 (~xuntil6(s255)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19898, 24609])).
% 14.40/10.11 tff(24611,plain,
% 14.40/10.11 (~always3(s255)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19863, 24606])).
% 14.40/10.11 tff(24612,plain,
% 14.40/10.11 (~node4(s255)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19687, 36, 24611])).
% 14.40/10.11 tff(24613,plain,
% 14.40/10.11 (xuntil6(s255) | (~until5(s255))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19694, 294, 24612])).
% 14.40/10.11 tff(24614,plain,
% 14.40/10.11 (~until5(s255)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24613, 24610])).
% 14.40/10.11 tff(24615,plain,
% 14.40/10.11 (~xuntil6(s254)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19678, 24614])).
% 14.40/10.11 tff(24616,plain,
% 14.40/10.11 (~always3(s254)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19643, 24611])).
% 14.40/10.11 tff(24617,plain,
% 14.40/10.11 (~node4(s254)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19631, 36, 24616])).
% 14.40/10.11 tff(24618,plain,
% 14.40/10.11 (xuntil6(s254) | (~until5(s254))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19672, 294, 24617])).
% 14.40/10.11 tff(24619,plain,
% 14.40/10.11 (~until5(s254)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24618, 24615])).
% 14.40/10.11 tff(24620,plain,
% 14.40/10.11 (~xuntil6(s253)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[19622, 24619])).
% 14.40/10.11 tff(24621,plain,
% 14.40/10.11 (~always3(s253)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18295, 24616])).
% 14.40/10.11 tff(24622,plain,
% 14.40/10.11 (~node4(s253)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17239, 36, 24621])).
% 14.40/10.11 tff(24623,plain,
% 14.40/10.11 (xuntil6(s253) | (~until5(s253))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17246, 294, 24622])).
% 14.40/10.11 tff(24624,plain,
% 14.40/10.11 (~until5(s253)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24623, 24620])).
% 14.40/10.11 tff(24625,plain,
% 14.40/10.11 (~xuntil6(s252)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17252, 24624])).
% 14.40/10.11 tff(24626,plain,
% 14.40/10.11 (~always3(s252)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17219, 24621])).
% 14.40/10.11 tff(24627,plain,
% 14.40/10.11 (~node4(s252)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17261, 36, 24626])).
% 14.40/10.11 tff(24628,plain,
% 14.40/10.11 (xuntil6(s252) | (~until5(s252))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17297, 294, 24627])).
% 14.40/10.11 tff(24629,plain,
% 14.40/10.11 (~until5(s252)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24628, 24625])).
% 14.40/10.11 tff(24630,plain,
% 14.40/10.11 (~xuntil6(s251)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17303, 24629])).
% 14.40/10.11 tff(24631,plain,
% 14.40/10.11 (~always3(s251)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17231, 24626])).
% 14.40/10.11 tff(24632,plain,
% 14.40/10.11 (~node4(s251)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17235, 36, 24631])).
% 14.40/10.11 tff(24633,plain,
% 14.40/10.11 (xuntil6(s251) | (~until5(s251))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17310, 294, 24632])).
% 14.40/10.11 tff(24634,plain,
% 14.40/10.11 (~until5(s251)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24633, 24630])).
% 14.40/10.11 tff(24635,plain,
% 14.40/10.11 (~xuntil6(s250)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17318, 24634])).
% 14.40/10.11 tff(24636,plain,
% 14.40/10.11 (~always3(s250)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17336, 24631])).
% 14.40/10.11 tff(24637,plain,
% 14.40/10.11 (~node4(s250)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17327, 36, 24636])).
% 14.40/10.11 tff(24638,plain,
% 14.40/10.11 (xuntil6(s250) | (~until5(s250))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17371, 294, 24637])).
% 14.40/10.11 tff(24639,plain,
% 14.40/10.11 (~until5(s250)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24638, 24635])).
% 14.40/10.11 tff(24640,plain,
% 14.40/10.11 (~xuntil6(s249)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17380, 24639])).
% 14.40/10.11 tff(24641,plain,
% 14.40/10.11 (~always3(s249)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17390, 24636])).
% 14.40/10.11 tff(24642,plain,
% 14.40/10.11 (~node4(s249)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17394, 36, 24641])).
% 14.40/10.11 tff(24643,plain,
% 14.40/10.11 (xuntil6(s249) | (~until5(s249))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17401, 294, 24642])).
% 14.40/10.11 tff(24644,plain,
% 14.40/10.11 (~until5(s249)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24643, 24640])).
% 14.40/10.11 tff(24645,plain,
% 14.40/10.11 (~xuntil6(s248)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17410, 24644])).
% 14.40/10.11 tff(24646,plain,
% 14.40/10.11 (~always3(s248)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17419, 24641])).
% 14.40/10.11 tff(24647,plain,
% 14.40/10.11 (~node4(s248)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17423, 36, 24646])).
% 14.40/10.11 tff(24648,plain,
% 14.40/10.11 (xuntil6(s248) | (~until5(s248))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17430, 294, 24647])).
% 14.40/10.11 tff(24649,plain,
% 14.40/10.11 (~until5(s248)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24648, 24645])).
% 14.40/10.11 tff(24650,plain,
% 14.40/10.11 (~xuntil6(s247)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17439, 24649])).
% 14.40/10.11 tff(24651,plain,
% 14.40/10.11 (~always3(s247)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17448, 24646])).
% 14.40/10.11 tff(24652,plain,
% 14.40/10.11 (~node4(s247)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17452, 36, 24651])).
% 14.40/10.11 tff(24653,plain,
% 14.40/10.11 (xuntil6(s247) | (~until5(s247))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17459, 294, 24652])).
% 14.40/10.11 tff(24654,plain,
% 14.40/10.11 (~until5(s247)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24653, 24650])).
% 14.40/10.11 tff(24655,plain,
% 14.40/10.11 (~xuntil6(s246)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17468, 24654])).
% 14.40/10.11 tff(24656,plain,
% 14.40/10.11 (~always3(s246)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17477, 24651])).
% 14.40/10.11 tff(24657,plain,
% 14.40/10.11 (~node4(s246)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17481, 36, 24656])).
% 14.40/10.11 tff(24658,plain,
% 14.40/10.11 (xuntil6(s246) | (~until5(s246))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17488, 294, 24657])).
% 14.40/10.11 tff(24659,plain,
% 14.40/10.11 (~until5(s246)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24658, 24655])).
% 14.40/10.11 tff(24660,plain,
% 14.40/10.11 (~xuntil6(s245)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17497, 24659])).
% 14.40/10.11 tff(24661,plain,
% 14.40/10.11 (~always3(s245)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17506, 24656])).
% 14.40/10.11 tff(24662,plain,
% 14.40/10.11 (~node4(s245)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17510, 36, 24661])).
% 14.40/10.11 tff(24663,plain,
% 14.40/10.11 (xuntil6(s245) | (~until5(s245))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17517, 294, 24662])).
% 14.40/10.11 tff(24664,plain,
% 14.40/10.11 (~until5(s245)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24663, 24660])).
% 14.40/10.11 tff(24665,plain,
% 14.40/10.11 (~xuntil6(s244)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17526, 24664])).
% 14.40/10.11 tff(24666,plain,
% 14.40/10.11 (~always3(s244)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17535, 24661])).
% 14.40/10.11 tff(24667,plain,
% 14.40/10.11 (~node4(s244)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17539, 36, 24666])).
% 14.40/10.11 tff(24668,plain,
% 14.40/10.11 (xuntil6(s244) | (~until5(s244))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17546, 294, 24667])).
% 14.40/10.11 tff(24669,plain,
% 14.40/10.11 (~until5(s244)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24668, 24665])).
% 14.40/10.11 tff(24670,plain,
% 14.40/10.11 (~xuntil6(s243)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17555, 24669])).
% 14.40/10.11 tff(24671,plain,
% 14.40/10.11 (~always3(s243)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17564, 24666])).
% 14.40/10.11 tff(24672,plain,
% 14.40/10.11 (~node4(s243)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17568, 36, 24671])).
% 14.40/10.11 tff(24673,plain,
% 14.40/10.11 (xuntil6(s243) | (~until5(s243))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17575, 294, 24672])).
% 14.40/10.11 tff(24674,plain,
% 14.40/10.11 (~until5(s243)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24673, 24670])).
% 14.40/10.11 tff(24675,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17584, 24674])).
% 14.40/10.11 tff(24676,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17593, 24671])).
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17597, 36, 24676])).
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% 14.40/10.11 (xuntil6(s242) | (~until5(s242))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17604, 294, 24677])).
% 14.40/10.11 tff(24679,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[24678, 24675])).
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17613, 24679])).
% 14.40/10.11 tff(24681,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17622, 24676])).
% 14.40/10.11 tff(24682,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17626, 36, 24681])).
% 14.40/10.11 tff(24683,plain,
% 14.40/10.11 (xuntil6(s241) | (~until5(s241))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17633, 294, 24682])).
% 14.40/10.11 tff(24684,plain,
% 14.40/10.11 (~until5(s241)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24683, 24680])).
% 14.40/10.11 tff(24685,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17642, 24684])).
% 14.40/10.11 tff(24686,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17651, 24681])).
% 14.40/10.11 tff(24687,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17655, 36, 24686])).
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% 14.40/10.11 (xuntil6(s240) | (~until5(s240))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17662, 294, 24687])).
% 14.40/10.11 tff(24689,plain,
% 14.40/10.11 (~until5(s240)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24688, 24685])).
% 14.40/10.11 tff(24690,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17671, 24689])).
% 14.40/10.11 tff(24691,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17689, 24686])).
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17680, 36, 24691])).
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% 14.40/10.11 (xuntil6(s239) | (~until5(s239))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17724, 294, 24692])).
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[24693, 24690])).
% 14.40/10.11 tff(24695,plain,
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% 14.40/10.11 inference(unit_resolution,[status(thm)],[17733, 24694])).
% 14.40/10.11 tff(24696,plain,
% 14.40/10.11 (~always3(s238)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17743, 24691])).
% 14.40/10.11 tff(24697,plain,
% 14.40/10.11 (~node4(s238)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17747, 36, 24696])).
% 14.40/10.11 tff(24698,plain,
% 14.40/10.11 (xuntil6(s238) | (~until5(s238))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17754, 294, 24697])).
% 14.40/10.11 tff(24699,plain,
% 14.40/10.11 (~until5(s238)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24698, 24695])).
% 14.40/10.11 tff(24700,plain,
% 14.40/10.11 (~xuntil6(s237)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17763, 24699])).
% 14.40/10.11 tff(24701,plain,
% 14.40/10.11 (~always3(s237)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17772, 24696])).
% 14.40/10.11 tff(24702,plain,
% 14.40/10.11 (~node4(s237)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17776, 36, 24701])).
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% 14.40/10.11 (xuntil6(s237) | (~until5(s237))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17783, 294, 24702])).
% 14.40/10.11 tff(24704,plain,
% 14.40/10.11 (~until5(s237)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24703, 24700])).
% 14.40/10.11 tff(24705,plain,
% 14.40/10.11 (~xuntil6(s236)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18281, 24704])).
% 14.40/10.11 tff(24706,plain,
% 14.40/10.11 (~always3(s236)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17796, 24701])).
% 14.40/10.11 tff(24707,plain,
% 14.40/10.11 (~node4(s236)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18239, 36, 24706])).
% 14.40/10.11 tff(24708,plain,
% 14.40/10.11 (xuntil6(s236) | (~until5(s236))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18275, 294, 24707])).
% 14.40/10.11 tff(24709,plain,
% 14.40/10.11 (~until5(s236)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24708, 24705])).
% 14.40/10.11 tff(24710,plain,
% 14.40/10.11 (~xuntil6(s235)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18230, 24709])).
% 14.40/10.11 tff(24711,plain,
% 14.40/10.11 (~always3(s235)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17808, 24706])).
% 14.40/10.11 tff(24712,plain,
% 14.40/10.11 (~node4(s235)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18217, 36, 24711])).
% 14.40/10.11 tff(24713,plain,
% 14.40/10.11 (xuntil6(s235) | (~until5(s235))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18224, 294, 24712])).
% 14.40/10.11 tff(24714,plain,
% 14.40/10.11 (~until5(s235)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24713, 24710])).
% 14.40/10.11 tff(24715,plain,
% 14.40/10.11 (~xuntil6(s234)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18213, 24714])).
% 14.40/10.11 tff(24716,plain,
% 14.40/10.11 (~always3(s234)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17820, 24711])).
% 14.40/10.11 tff(24717,plain,
% 14.40/10.11 (~node4(s234)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18200, 36, 24716])).
% 14.40/10.11 tff(24718,plain,
% 14.40/10.11 (xuntil6(s234) | (~until5(s234))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18207, 294, 24717])).
% 14.40/10.11 tff(24719,plain,
% 14.40/10.11 (~until5(s234)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24718, 24715])).
% 14.40/10.11 tff(24720,plain,
% 14.40/10.11 (~xuntil6(s233)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18196, 24719])).
% 14.40/10.11 tff(24721,plain,
% 14.40/10.11 (~always3(s233)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17832, 24716])).
% 14.40/10.11 tff(24722,plain,
% 14.40/10.11 (~node4(s233)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18183, 36, 24721])).
% 14.40/10.11 tff(24723,plain,
% 14.40/10.11 (xuntil6(s233) | (~until5(s233))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18190, 294, 24722])).
% 14.40/10.11 tff(24724,plain,
% 14.40/10.11 (~until5(s233)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24723, 24720])).
% 14.40/10.11 tff(24725,plain,
% 14.40/10.11 (~xuntil6(s232)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18179, 24724])).
% 14.40/10.11 tff(24726,plain,
% 14.40/10.11 (~always3(s232)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17844, 24721])).
% 14.40/10.11 tff(24727,plain,
% 14.40/10.11 (~node4(s232)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18166, 36, 24726])).
% 14.40/10.11 tff(24728,plain,
% 14.40/10.11 (xuntil6(s232) | (~until5(s232))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18173, 294, 24727])).
% 14.40/10.11 tff(24729,plain,
% 14.40/10.11 (~until5(s232)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24728, 24725])).
% 14.40/10.11 tff(24730,plain,
% 14.40/10.11 (~xuntil6(s231)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18162, 24729])).
% 14.40/10.11 tff(24731,plain,
% 14.40/10.11 (~always3(s231)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17856, 24726])).
% 14.40/10.11 tff(24732,plain,
% 14.40/10.11 (~node4(s231)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18149, 36, 24731])).
% 14.40/10.11 tff(24733,plain,
% 14.40/10.11 (xuntil6(s231) | (~until5(s231))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18156, 294, 24732])).
% 14.40/10.11 tff(24734,plain,
% 14.40/10.11 (~until5(s231)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24733, 24730])).
% 14.40/10.11 tff(24735,plain,
% 14.40/10.11 (~xuntil6(s230)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18145, 24734])).
% 14.40/10.11 tff(24736,plain,
% 14.40/10.11 (~always3(s230)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17868, 24731])).
% 14.40/10.11 tff(24737,plain,
% 14.40/10.11 (~node4(s230)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18132, 36, 24736])).
% 14.40/10.11 tff(24738,plain,
% 14.40/10.11 (xuntil6(s230) | (~until5(s230))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18139, 294, 24737])).
% 14.40/10.11 tff(24739,plain,
% 14.40/10.11 (~until5(s230)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24738, 24735])).
% 14.40/10.11 tff(24740,plain,
% 14.40/10.11 (~xuntil6(s229)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18128, 24739])).
% 14.40/10.11 tff(24741,plain,
% 14.40/10.11 (~always3(s229)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17880, 24736])).
% 14.40/10.11 tff(24742,plain,
% 14.40/10.11 (~node4(s229)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18115, 36, 24741])).
% 14.40/10.11 tff(24743,plain,
% 14.40/10.11 (xuntil6(s229) | (~until5(s229))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18122, 294, 24742])).
% 14.40/10.11 tff(24744,plain,
% 14.40/10.11 (~until5(s229)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24743, 24740])).
% 14.40/10.11 tff(24745,plain,
% 14.40/10.11 (~xuntil6(s228)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18111, 24744])).
% 14.40/10.11 tff(24746,plain,
% 14.40/10.11 (~always3(s228)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17892, 24741])).
% 14.40/10.11 tff(24747,plain,
% 14.40/10.11 (~node4(s228)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18098, 36, 24746])).
% 14.40/10.11 tff(24748,plain,
% 14.40/10.11 (xuntil6(s228) | (~until5(s228))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18105, 294, 24747])).
% 14.40/10.11 tff(24749,plain,
% 14.40/10.11 (~until5(s228)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24748, 24745])).
% 14.40/10.11 tff(24750,plain,
% 14.40/10.11 (~xuntil6(s227)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18094, 24749])).
% 14.40/10.11 tff(24751,plain,
% 14.40/10.11 (~always3(s227)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17904, 24746])).
% 14.40/10.11 tff(24752,plain,
% 14.40/10.11 (~node4(s227)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18081, 36, 24751])).
% 14.40/10.11 tff(24753,plain,
% 14.40/10.11 (xuntil6(s227) | (~until5(s227))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18088, 294, 24752])).
% 14.40/10.11 tff(24754,plain,
% 14.40/10.11 (~until5(s227)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24753, 24750])).
% 14.40/10.11 tff(24755,plain,
% 14.40/10.11 (~xuntil6(s226)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18077, 24754])).
% 14.40/10.11 tff(24756,plain,
% 14.40/10.11 (~always3(s226)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17916, 24751])).
% 14.40/10.11 tff(24757,plain,
% 14.40/10.11 (~node4(s226)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18064, 36, 24756])).
% 14.40/10.11 tff(24758,plain,
% 14.40/10.11 (xuntil6(s226) | (~until5(s226))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18071, 294, 24757])).
% 14.40/10.11 tff(24759,plain,
% 14.40/10.11 (~until5(s226)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24758, 24755])).
% 14.40/10.11 tff(24760,plain,
% 14.40/10.11 (~xuntil6(s225)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18060, 24759])).
% 14.40/10.11 tff(24761,plain,
% 14.40/10.11 (~always3(s225)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17928, 24756])).
% 14.40/10.11 tff(24762,plain,
% 14.40/10.11 (~node4(s225)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18047, 36, 24761])).
% 14.40/10.11 tff(24763,plain,
% 14.40/10.11 (xuntil6(s225) | (~until5(s225))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18054, 294, 24762])).
% 14.40/10.11 tff(24764,plain,
% 14.40/10.11 (~until5(s225)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24763, 24760])).
% 14.40/10.11 tff(24765,plain,
% 14.40/10.11 (~xuntil6(s224)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18043, 24764])).
% 14.40/10.11 tff(24766,plain,
% 14.40/10.11 (~always3(s224)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17940, 24761])).
% 14.40/10.11 tff(24767,plain,
% 14.40/10.11 (~node4(s224)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18030, 36, 24766])).
% 14.40/10.11 tff(24768,plain,
% 14.40/10.11 (xuntil6(s224) | (~until5(s224))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18037, 294, 24767])).
% 14.40/10.11 tff(24769,plain,
% 14.40/10.11 (~until5(s224)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24768, 24765])).
% 14.40/10.11 tff(24770,plain,
% 14.40/10.11 (~xuntil6(s223)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18026, 24769])).
% 14.40/10.11 tff(24771,plain,
% 14.40/10.11 (~always3(s223)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17952, 24766])).
% 14.40/10.11 tff(24772,plain,
% 14.40/10.11 (~node4(s223)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18013, 36, 24771])).
% 14.40/10.11 tff(24773,plain,
% 14.40/10.11 (xuntil6(s223) | (~until5(s223))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18020, 294, 24772])).
% 14.40/10.11 tff(24774,plain,
% 14.40/10.11 (~until5(s223)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24773, 24770])).
% 14.40/10.11 tff(24775,plain,
% 14.40/10.11 (~xuntil6(s222)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18009, 24774])).
% 14.40/10.11 tff(24776,plain,
% 14.40/10.11 (~always3(s222)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17964, 24771])).
% 14.40/10.11 tff(24777,plain,
% 14.40/10.11 (~node4(s222)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17968, 36, 24776])).
% 14.40/10.11 tff(24778,plain,
% 14.40/10.11 (xuntil6(s222) | (~until5(s222))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[18004, 294, 24777])).
% 14.40/10.11 tff(24779,plain,
% 14.40/10.11 (~until5(s222)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24778, 24775])).
% 14.40/10.11 tff(24780,plain,
% 14.40/10.11 (~xuntil6(s221)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17997, 24779])).
% 14.40/10.11 tff(24781,plain,
% 14.40/10.11 (~always3(s221)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17980, 24776])).
% 14.40/10.11 tff(24782,plain,
% 14.40/10.11 (~node4(s221)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17984, 36, 24781])).
% 14.40/10.11 tff(24783,plain,
% 14.40/10.11 (xuntil6(s221) | (~until5(s221))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17991, 294, 24782])).
% 14.40/10.11 tff(24784,plain,
% 14.40/10.11 (~until5(s221)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24783, 24780])).
% 14.40/10.11 tff(24785,plain,
% 14.40/10.11 (~xuntil6(s220)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[17204, 24784])).
% 14.40/10.11 tff(24786,plain,
% 14.40/10.11 (~always3(s220)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15896, 24781])).
% 14.40/10.11 tff(24787,plain,
% 14.40/10.11 (~node4(s220)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14883, 36, 24786])).
% 14.40/10.11 tff(24788,plain,
% 14.40/10.11 (xuntil6(s220) | (~until5(s220))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14890, 294, 24787])).
% 14.40/10.11 tff(24789,plain,
% 14.40/10.11 (~until5(s220)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24788, 24785])).
% 14.40/10.11 tff(24790,plain,
% 14.40/10.11 (~xuntil6(s219)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14896, 24789])).
% 14.40/10.11 tff(24791,plain,
% 14.40/10.11 (~always3(s219)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14875, 24786])).
% 14.40/10.11 tff(24792,plain,
% 14.40/10.11 (~node4(s219)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14879, 36, 24791])).
% 14.40/10.11 tff(24793,plain,
% 14.40/10.11 (xuntil6(s219) | (~until5(s219))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14903, 294, 24792])).
% 14.40/10.11 tff(24794,plain,
% 14.40/10.11 (~until5(s219)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24793, 24790])).
% 14.40/10.11 tff(24795,plain,
% 14.40/10.11 (~xuntil6(s218)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14911, 24794])).
% 14.40/10.11 tff(24796,plain,
% 14.40/10.11 (~always3(s218)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14920, 24791])).
% 14.40/10.11 tff(24797,plain,
% 14.40/10.11 (~node4(s218)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14924, 36, 24796])).
% 14.40/10.11 tff(24798,plain,
% 14.40/10.11 (xuntil6(s218) | (~until5(s218))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14931, 294, 24797])).
% 14.40/10.11 tff(24799,plain,
% 14.40/10.11 (~until5(s218)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24798, 24795])).
% 14.40/10.11 tff(24800,plain,
% 14.40/10.11 (~xuntil6(s217)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14940, 24799])).
% 14.40/10.11 tff(24801,plain,
% 14.40/10.11 (~always3(s217)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14949, 24796])).
% 14.40/10.11 tff(24802,plain,
% 14.40/10.11 (~node4(s217)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14953, 36, 24801])).
% 14.40/10.11 tff(24803,plain,
% 14.40/10.11 (xuntil6(s217) | (~until5(s217))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14960, 294, 24802])).
% 14.40/10.11 tff(24804,plain,
% 14.40/10.11 (~until5(s217)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24803, 24800])).
% 14.40/10.11 tff(24805,plain,
% 14.40/10.11 (~xuntil6(s216)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14969, 24804])).
% 14.40/10.11 tff(24806,plain,
% 14.40/10.11 (~always3(s216)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14978, 24801])).
% 14.40/10.11 tff(24807,plain,
% 14.40/10.11 (~node4(s216)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14982, 36, 24806])).
% 14.40/10.11 tff(24808,plain,
% 14.40/10.11 (xuntil6(s216) | (~until5(s216))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14989, 294, 24807])).
% 14.40/10.11 tff(24809,plain,
% 14.40/10.11 (~until5(s216)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24808, 24805])).
% 14.40/10.11 tff(24810,plain,
% 14.40/10.11 (~xuntil6(s215)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14998, 24809])).
% 14.40/10.11 tff(24811,plain,
% 14.40/10.11 (~always3(s215)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15007, 24806])).
% 14.40/10.11 tff(24812,plain,
% 14.40/10.11 (~node4(s215)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15011, 36, 24811])).
% 14.40/10.11 tff(24813,plain,
% 14.40/10.11 (xuntil6(s215) | (~until5(s215))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15018, 294, 24812])).
% 14.40/10.11 tff(24814,plain,
% 14.40/10.11 (~until5(s215)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24813, 24810])).
% 14.40/10.11 tff(24815,plain,
% 14.40/10.11 (~xuntil6(s214)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15027, 24814])).
% 14.40/10.11 tff(24816,plain,
% 14.40/10.11 (~always3(s214)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15036, 24811])).
% 14.40/10.11 tff(24817,plain,
% 14.40/10.11 (~node4(s214)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15040, 36, 24816])).
% 14.40/10.11 tff(24818,plain,
% 14.40/10.11 (xuntil6(s214) | (~until5(s214))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15047, 294, 24817])).
% 14.40/10.11 tff(24819,plain,
% 14.40/10.11 (~until5(s214)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24818, 24815])).
% 14.40/10.11 tff(24820,plain,
% 14.40/10.11 (~xuntil6(s213)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15056, 24819])).
% 14.40/10.11 tff(24821,plain,
% 14.40/10.11 (~always3(s213)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15065, 24816])).
% 14.40/10.11 tff(24822,plain,
% 14.40/10.11 (~node4(s213)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15069, 36, 24821])).
% 14.40/10.11 tff(24823,plain,
% 14.40/10.11 (xuntil6(s213) | (~until5(s213))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15076, 294, 24822])).
% 14.40/10.11 tff(24824,plain,
% 14.40/10.11 (~until5(s213)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24823, 24820])).
% 14.40/10.11 tff(24825,plain,
% 14.40/10.11 (~xuntil6(s212)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15085, 24824])).
% 14.40/10.11 tff(24826,plain,
% 14.40/10.11 (~always3(s212)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15094, 24821])).
% 14.40/10.11 tff(24827,plain,
% 14.40/10.11 (~node4(s212)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15098, 36, 24826])).
% 14.40/10.11 tff(24828,plain,
% 14.40/10.11 (xuntil6(s212) | (~until5(s212))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15105, 294, 24827])).
% 14.40/10.11 tff(24829,plain,
% 14.40/10.11 (~until5(s212)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24828, 24825])).
% 14.40/10.11 tff(24830,plain,
% 14.40/10.11 (~xuntil6(s211)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15114, 24829])).
% 14.40/10.11 tff(24831,plain,
% 14.40/10.11 (~always3(s211)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15123, 24826])).
% 14.40/10.11 tff(24832,plain,
% 14.40/10.11 (~node4(s211)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15127, 36, 24831])).
% 14.40/10.11 tff(24833,plain,
% 14.40/10.11 (xuntil6(s211) | (~until5(s211))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15134, 294, 24832])).
% 14.40/10.11 tff(24834,plain,
% 14.40/10.11 (~until5(s211)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24833, 24830])).
% 14.40/10.11 tff(24835,plain,
% 14.40/10.11 (~xuntil6(s210)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15143, 24834])).
% 14.40/10.11 tff(24836,plain,
% 14.40/10.11 (~always3(s210)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15152, 24831])).
% 14.40/10.11 tff(24837,plain,
% 14.40/10.11 (~node4(s210)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15156, 36, 24836])).
% 14.40/10.11 tff(24838,plain,
% 14.40/10.11 (xuntil6(s210) | (~until5(s210))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15163, 294, 24837])).
% 14.40/10.11 tff(24839,plain,
% 14.40/10.11 (~until5(s210)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24838, 24835])).
% 14.40/10.11 tff(24840,plain,
% 14.40/10.11 (~xuntil6(s209)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15169, 24839])).
% 14.40/10.11 tff(24841,plain,
% 14.40/10.11 (~always3(s209)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14832, 24836])).
% 14.40/10.11 tff(24842,plain,
% 14.40/10.11 (~node4(s209)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14820, 36, 24841])).
% 14.40/10.11 tff(24843,plain,
% 14.40/10.11 (xuntil6(s209) | (~until5(s209))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15178, 294, 24842])).
% 14.40/10.11 tff(24844,plain,
% 14.40/10.11 (~until5(s209)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24843, 24840])).
% 14.40/10.11 tff(24845,plain,
% 14.40/10.11 (~xuntil6(s208)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15187, 24844])).
% 14.40/10.11 tff(24846,plain,
% 14.40/10.11 (~always3(s208)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15196, 24841])).
% 14.40/10.11 tff(24847,plain,
% 14.40/10.11 (~node4(s208)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15200, 36, 24846])).
% 14.40/10.11 tff(24848,plain,
% 14.40/10.11 (xuntil6(s208) | (~until5(s208))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15207, 294, 24847])).
% 14.40/10.11 tff(24849,plain,
% 14.40/10.11 (~until5(s208)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24848, 24845])).
% 14.40/10.11 tff(24850,plain,
% 14.40/10.11 (~xuntil6(s207)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15216, 24849])).
% 14.40/10.11 tff(24851,plain,
% 14.40/10.11 (~always3(s207)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15225, 24846])).
% 14.40/10.11 tff(24852,plain,
% 14.40/10.11 (~node4(s207)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15229, 36, 24851])).
% 14.40/10.11 tff(24853,plain,
% 14.40/10.11 (xuntil6(s207) | (~until5(s207))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15236, 294, 24852])).
% 14.40/10.11 tff(24854,plain,
% 14.40/10.11 (~until5(s207)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24853, 24850])).
% 14.40/10.11 tff(24855,plain,
% 14.40/10.11 (~xuntil6(s206)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15245, 24854])).
% 14.40/10.11 tff(24856,plain,
% 14.40/10.11 (~always3(s206)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15254, 24851])).
% 14.40/10.11 tff(24857,plain,
% 14.40/10.11 (~node4(s206)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15258, 36, 24856])).
% 14.40/10.11 tff(24858,plain,
% 14.40/10.11 (xuntil6(s206) | (~until5(s206))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15265, 294, 24857])).
% 14.40/10.11 tff(24859,plain,
% 14.40/10.11 (~until5(s206)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24858, 24855])).
% 14.40/10.11 tff(24860,plain,
% 14.40/10.11 (~xuntil6(s205)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15274, 24859])).
% 14.40/10.11 tff(24861,plain,
% 14.40/10.11 (~always3(s205)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15283, 24856])).
% 14.40/10.11 tff(24862,plain,
% 14.40/10.11 (~node4(s205)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15287, 36, 24861])).
% 14.40/10.11 tff(24863,plain,
% 14.40/10.11 (xuntil6(s205) | (~until5(s205))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15294, 294, 24862])).
% 14.40/10.11 tff(24864,plain,
% 14.40/10.11 (~until5(s205)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24863, 24860])).
% 14.40/10.11 tff(24865,plain,
% 14.40/10.11 (~xuntil6(s204)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15303, 24864])).
% 14.40/10.11 tff(24866,plain,
% 14.40/10.11 (~always3(s204)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15312, 24861])).
% 14.40/10.11 tff(24867,plain,
% 14.40/10.11 (~node4(s204)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15316, 36, 24866])).
% 14.40/10.11 tff(24868,plain,
% 14.40/10.11 (xuntil6(s204) | (~until5(s204))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15323, 294, 24867])).
% 14.40/10.11 tff(24869,plain,
% 14.40/10.11 (~until5(s204)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24868, 24865])).
% 14.40/10.11 tff(24870,plain,
% 14.40/10.11 (~xuntil6(s203)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15332, 24869])).
% 14.40/10.11 tff(24871,plain,
% 14.40/10.11 (~always3(s203)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15341, 24866])).
% 14.40/10.11 tff(24872,plain,
% 14.40/10.11 (~node4(s203)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15345, 36, 24871])).
% 14.40/10.11 tff(24873,plain,
% 14.40/10.11 (xuntil6(s203) | (~until5(s203))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15352, 294, 24872])).
% 14.40/10.11 tff(24874,plain,
% 14.40/10.11 (~until5(s203)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24873, 24870])).
% 14.40/10.11 tff(24875,plain,
% 14.40/10.11 (~xuntil6(s202)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15361, 24874])).
% 14.40/10.11 tff(24876,plain,
% 14.40/10.11 (~always3(s202)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15370, 24871])).
% 14.40/10.11 tff(24877,plain,
% 14.40/10.11 (~node4(s202)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15867, 36, 24876])).
% 14.40/10.11 tff(24878,plain,
% 14.40/10.11 (xuntil6(s202) | (~until5(s202))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15874, 294, 24877])).
% 14.40/10.11 tff(24879,plain,
% 14.40/10.11 (~until5(s202)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24878, 24875])).
% 14.40/10.11 tff(24880,plain,
% 14.40/10.11 (~xuntil6(s201)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15863, 24879])).
% 14.40/10.11 tff(24881,plain,
% 14.40/10.11 (~always3(s201)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15382, 24876])).
% 14.40/10.11 tff(24882,plain,
% 14.40/10.11 (~node4(s201)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15850, 36, 24881])).
% 14.40/10.11 tff(24883,plain,
% 14.40/10.11 (xuntil6(s201) | (~until5(s201))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15857, 294, 24882])).
% 14.40/10.11 tff(24884,plain,
% 14.40/10.11 (~until5(s201)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24883, 24880])).
% 14.40/10.11 tff(24885,plain,
% 14.40/10.11 (~xuntil6(s200)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15846, 24884])).
% 14.40/10.11 tff(24886,plain,
% 14.40/10.11 (~always3(s200)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15394, 24881])).
% 14.40/10.11 tff(24887,plain,
% 14.40/10.11 (~node4(s200)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15833, 36, 24886])).
% 14.40/10.11 tff(24888,plain,
% 14.40/10.11 (xuntil6(s200) | (~until5(s200))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15840, 294, 24887])).
% 14.40/10.11 tff(24889,plain,
% 14.40/10.11 (~until5(s200)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24888, 24885])).
% 14.40/10.11 tff(24890,plain,
% 14.40/10.11 (~xuntil6(s199)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15829, 24889])).
% 14.40/10.11 tff(24891,plain,
% 14.40/10.11 (~always3(s199)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15406, 24886])).
% 14.40/10.11 tff(24892,plain,
% 14.40/10.11 (~node4(s199)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15816, 36, 24891])).
% 14.40/10.11 tff(24893,plain,
% 14.40/10.11 (xuntil6(s199) | (~until5(s199))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15823, 294, 24892])).
% 14.40/10.11 tff(24894,plain,
% 14.40/10.11 (~until5(s199)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24893, 24890])).
% 14.40/10.11 tff(24895,plain,
% 14.40/10.11 (~xuntil6(s198)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15812, 24894])).
% 14.40/10.11 tff(24896,plain,
% 14.40/10.11 (~always3(s198)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15418, 24891])).
% 14.40/10.11 tff(24897,plain,
% 14.40/10.11 (~node4(s198)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15799, 36, 24896])).
% 14.40/10.11 tff(24898,plain,
% 14.40/10.11 (xuntil6(s198) | (~until5(s198))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15806, 294, 24897])).
% 14.40/10.11 tff(24899,plain,
% 14.40/10.11 (~until5(s198)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24898, 24895])).
% 14.40/10.11 tff(24900,plain,
% 14.40/10.11 (~xuntil6(s197)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15795, 24899])).
% 14.40/10.11 tff(24901,plain,
% 14.40/10.11 (~always3(s197)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15430, 24896])).
% 14.40/10.11 tff(24902,plain,
% 14.40/10.11 (~node4(s197)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15782, 36, 24901])).
% 14.40/10.11 tff(24903,plain,
% 14.40/10.11 (xuntil6(s197) | (~until5(s197))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15789, 294, 24902])).
% 14.40/10.11 tff(24904,plain,
% 14.40/10.11 (~until5(s197)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24903, 24900])).
% 14.40/10.11 tff(24905,plain,
% 14.40/10.11 (~xuntil6(s196)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15778, 24904])).
% 14.40/10.11 tff(24906,plain,
% 14.40/10.11 (~always3(s196)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14734, 24901])).
% 14.40/10.11 tff(24907,plain,
% 14.40/10.11 (~node4(s196)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14722, 36, 24906])).
% 14.40/10.11 tff(24908,plain,
% 14.40/10.11 (xuntil6(s196) | (~until5(s196))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15772, 294, 24907])).
% 14.40/10.11 tff(24909,plain,
% 14.40/10.11 (~until5(s196)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24908, 24905])).
% 14.40/10.11 tff(24910,plain,
% 14.40/10.11 (~xuntil6(s195)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15764, 24909])).
% 14.40/10.11 tff(24911,plain,
% 14.40/10.11 (~always3(s195)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15443, 24906])).
% 14.40/10.11 tff(24912,plain,
% 14.40/10.11 (~node4(s195)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15751, 36, 24911])).
% 14.40/10.11 tff(24913,plain,
% 14.40/10.11 (xuntil6(s195) | (~until5(s195))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15758, 294, 24912])).
% 14.40/10.11 tff(24914,plain,
% 14.40/10.11 (~until5(s195)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24913, 24910])).
% 14.40/10.11 tff(24915,plain,
% 14.40/10.11 (~xuntil6(s194)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15747, 24914])).
% 14.40/10.11 tff(24916,plain,
% 14.40/10.11 (~always3(s194)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14783, 24911])).
% 14.40/10.11 tff(24917,plain,
% 14.40/10.11 (~node4(s194)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14771, 36, 24916])).
% 14.40/10.11 tff(24918,plain,
% 14.40/10.11 (xuntil6(s194) | (~until5(s194))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15741, 294, 24917])).
% 14.40/10.11 tff(24919,plain,
% 14.40/10.11 (~until5(s194)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24918, 24915])).
% 14.40/10.11 tff(24920,plain,
% 14.40/10.11 (~xuntil6(s193)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15733, 24919])).
% 14.40/10.11 tff(24921,plain,
% 14.40/10.11 (~always3(s193)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15456, 24916])).
% 14.40/10.11 tff(24922,plain,
% 14.40/10.11 (~node4(s193)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15720, 36, 24921])).
% 14.40/10.11 tff(24923,plain,
% 14.40/10.11 (xuntil6(s193) | (~until5(s193))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15727, 294, 24922])).
% 14.40/10.11 tff(24924,plain,
% 14.40/10.11 (~until5(s193)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24923, 24920])).
% 14.40/10.11 tff(24925,plain,
% 14.40/10.11 (~xuntil6(s192)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15716, 24924])).
% 14.40/10.11 tff(24926,plain,
% 14.40/10.11 (~always3(s192)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15468, 24921])).
% 14.40/10.11 tff(24927,plain,
% 14.40/10.11 (~node4(s192)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15703, 36, 24926])).
% 14.40/10.11 tff(24928,plain,
% 14.40/10.11 (xuntil6(s192) | (~until5(s192))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15710, 294, 24927])).
% 14.40/10.11 tff(24929,plain,
% 14.40/10.11 (~until5(s192)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24928, 24925])).
% 14.40/10.11 tff(24930,plain,
% 14.40/10.11 (~xuntil6(s191)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15699, 24929])).
% 14.40/10.11 tff(24931,plain,
% 14.40/10.11 (~always3(s191)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15480, 24926])).
% 14.40/10.11 tff(24932,plain,
% 14.40/10.11 (~node4(s191)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15686, 36, 24931])).
% 14.40/10.11 tff(24933,plain,
% 14.40/10.11 (xuntil6(s191) | (~until5(s191))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15693, 294, 24932])).
% 14.40/10.11 tff(24934,plain,
% 14.40/10.11 (~until5(s191)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24933, 24930])).
% 14.40/10.11 tff(24935,plain,
% 14.40/10.11 (~xuntil6(s190)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15682, 24934])).
% 14.40/10.11 tff(24936,plain,
% 14.40/10.11 (~always3(s190)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15492, 24931])).
% 14.40/10.11 tff(24937,plain,
% 14.40/10.11 (~node4(s190)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15669, 36, 24936])).
% 14.40/10.11 tff(24938,plain,
% 14.40/10.11 (xuntil6(s190) | (~until5(s190))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15676, 294, 24937])).
% 14.40/10.11 tff(24939,plain,
% 14.40/10.11 (~until5(s190)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24938, 24935])).
% 14.40/10.11 tff(24940,plain,
% 14.40/10.11 (~xuntil6(s189)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15665, 24939])).
% 14.40/10.11 tff(24941,plain,
% 14.40/10.11 (~always3(s189)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15504, 24936])).
% 14.40/10.11 tff(24942,plain,
% 14.40/10.11 (~node4(s189)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15652, 36, 24941])).
% 14.40/10.11 tff(24943,plain,
% 14.40/10.11 (xuntil6(s189) | (~until5(s189))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15659, 294, 24942])).
% 14.40/10.11 tff(24944,plain,
% 14.40/10.11 (~until5(s189)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24943, 24940])).
% 14.40/10.11 tff(24945,plain,
% 14.40/10.11 (~xuntil6(s188)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15648, 24944])).
% 14.40/10.11 tff(24946,plain,
% 14.40/10.11 (~always3(s188)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15516, 24941])).
% 14.40/10.11 tff(24947,plain,
% 14.40/10.11 (~node4(s188)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15635, 36, 24946])).
% 14.40/10.11 tff(24948,plain,
% 14.40/10.11 (xuntil6(s188) | (~until5(s188))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15642, 294, 24947])).
% 14.40/10.11 tff(24949,plain,
% 14.40/10.11 (~until5(s188)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24948, 24945])).
% 14.40/10.11 tff(24950,plain,
% 14.40/10.11 (~xuntil6(s187)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15631, 24949])).
% 14.40/10.11 tff(24951,plain,
% 14.40/10.11 (~always3(s187)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15528, 24946])).
% 14.40/10.11 tff(24952,plain,
% 14.40/10.11 (~node4(s187)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15618, 36, 24951])).
% 14.40/10.11 tff(24953,plain,
% 14.40/10.11 (xuntil6(s187) | (~until5(s187))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15625, 294, 24952])).
% 14.40/10.11 tff(24954,plain,
% 14.40/10.11 (~until5(s187)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24953, 24950])).
% 14.40/10.11 tff(24955,plain,
% 14.40/10.11 (~xuntil6(s186)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15614, 24954])).
% 14.40/10.11 tff(24956,plain,
% 14.40/10.11 (~always3(s186)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15540, 24951])).
% 14.40/10.11 tff(24957,plain,
% 14.40/10.11 (~node4(s186)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15601, 36, 24956])).
% 14.40/10.11 tff(24958,plain,
% 14.40/10.11 (xuntil6(s186) | (~until5(s186))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15608, 294, 24957])).
% 14.40/10.11 tff(24959,plain,
% 14.40/10.11 (~until5(s186)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24958, 24955])).
% 14.40/10.11 tff(24960,plain,
% 14.40/10.11 (~xuntil6(s185)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15597, 24959])).
% 14.40/10.11 tff(24961,plain,
% 14.40/10.11 (~always3(s185)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15552, 24956])).
% 14.40/10.11 tff(24962,plain,
% 14.40/10.11 (~node4(s185)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15556, 36, 24961])).
% 14.40/10.11 tff(24963,plain,
% 14.40/10.11 (xuntil6(s185) | (~until5(s185))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15592, 294, 24962])).
% 14.40/10.11 tff(24964,plain,
% 14.40/10.11 (~until5(s185)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24963, 24960])).
% 14.40/10.11 tff(24965,plain,
% 14.40/10.11 (~xuntil6(s184)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15585, 24964])).
% 14.40/10.11 tff(24966,plain,
% 14.40/10.11 (~always3(s184)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15568, 24961])).
% 14.40/10.11 tff(24967,plain,
% 14.40/10.11 (~node4(s184)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15572, 36, 24966])).
% 14.40/10.11 tff(24968,plain,
% 14.40/10.11 (xuntil6(s184) | (~until5(s184))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[15579, 294, 24967])).
% 14.40/10.11 tff(24969,plain,
% 14.40/10.11 (~until5(s184)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24968, 24965])).
% 14.40/10.11 tff(24970,plain,
% 14.40/10.11 (~xuntil6(s183)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14712, 24969])).
% 14.40/10.11 tff(24971,plain,
% 14.40/10.11 (~always3(s183)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14483, 24966])).
% 14.40/10.11 tff(24972,plain,
% 14.40/10.11 (~node4(s183)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14159, 36, 24971])).
% 14.40/10.11 tff(24973,plain,
% 14.40/10.11 (xuntil6(s183) | (~until5(s183))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14166, 294, 24972])).
% 14.40/10.11 tff(24974,plain,
% 14.40/10.11 (~until5(s183)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24973, 24970])).
% 14.40/10.11 tff(24975,plain,
% 14.40/10.11 (~xuntil6(s182)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14172, 24974])).
% 14.40/10.11 tff(24976,plain,
% 14.40/10.11 (~always3(s182)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14151, 24971])).
% 14.40/10.11 tff(24977,plain,
% 14.40/10.11 (~node4(s182)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14155, 36, 24976])).
% 14.40/10.11 tff(24978,plain,
% 14.40/10.11 (xuntil6(s182) | (~until5(s182))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14179, 294, 24977])).
% 14.40/10.11 tff(24979,plain,
% 14.40/10.11 (~until5(s182)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24978, 24975])).
% 14.40/10.11 tff(24980,plain,
% 14.40/10.11 (~xuntil6(s181)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14187, 24979])).
% 14.40/10.11 tff(24981,plain,
% 14.40/10.11 (~always3(s181)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14196, 24976])).
% 14.40/10.11 tff(24982,plain,
% 14.40/10.11 (~node4(s181)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14200, 36, 24981])).
% 14.40/10.11 tff(24983,plain,
% 14.40/10.11 (xuntil6(s181) | (~until5(s181))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14207, 294, 24982])).
% 14.40/10.11 tff(24984,plain,
% 14.40/10.11 (~until5(s181)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24983, 24980])).
% 14.40/10.11 tff(24985,plain,
% 14.40/10.11 (~xuntil6(s180)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14216, 24984])).
% 14.40/10.11 tff(24986,plain,
% 14.40/10.11 (~always3(s180)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14225, 24981])).
% 14.40/10.11 tff(24987,plain,
% 14.40/10.11 (~node4(s180)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14229, 36, 24986])).
% 14.40/10.11 tff(24988,plain,
% 14.40/10.11 (xuntil6(s180) | (~until5(s180))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14236, 294, 24987])).
% 14.40/10.11 tff(24989,plain,
% 14.40/10.11 (~until5(s180)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24988, 24985])).
% 14.40/10.11 tff(24990,plain,
% 14.40/10.11 (~xuntil6(s179)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14245, 24989])).
% 14.40/10.11 tff(24991,plain,
% 14.40/10.11 (~always3(s179)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14254, 24986])).
% 14.40/10.11 tff(24992,plain,
% 14.40/10.11 (~node4(s179)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14258, 36, 24991])).
% 14.40/10.11 tff(24993,plain,
% 14.40/10.11 (xuntil6(s179) | (~until5(s179))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14265, 294, 24992])).
% 14.40/10.11 tff(24994,plain,
% 14.40/10.11 (~until5(s179)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24993, 24990])).
% 14.40/10.11 tff(24995,plain,
% 14.40/10.11 (~xuntil6(s178)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14274, 24994])).
% 14.40/10.11 tff(24996,plain,
% 14.40/10.11 (~always3(s178)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14283, 24991])).
% 14.40/10.11 tff(24997,plain,
% 14.40/10.11 (~node4(s178)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14287, 36, 24996])).
% 14.40/10.11 tff(24998,plain,
% 14.40/10.11 (xuntil6(s178) | (~until5(s178))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14294, 294, 24997])).
% 14.40/10.11 tff(24999,plain,
% 14.40/10.11 (~until5(s178)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[24998, 24995])).
% 14.40/10.11 tff(25000,plain,
% 14.40/10.11 (~xuntil6(s177)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14136, 24999])).
% 14.40/10.11 tff(25001,plain,
% 14.40/10.11 (~always3(s177)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14034, 24996])).
% 14.40/10.11 tff(25002,plain,
% 14.40/10.11 (~node4(s177)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13896, 36, 25001])).
% 14.40/10.11 tff(25003,plain,
% 14.40/10.11 (xuntil6(s177) | (~until5(s177))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13903, 294, 25002])).
% 14.40/10.11 tff(25004,plain,
% 14.40/10.11 (~until5(s177)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25003, 25000])).
% 14.40/10.11 tff(25005,plain,
% 14.40/10.11 (~xuntil6(s176)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13909, 25004])).
% 14.40/10.11 tff(25006,plain,
% 14.40/10.11 (~always3(s176)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13888, 25001])).
% 14.40/10.11 tff(25007,plain,
% 14.40/10.11 (~node4(s176)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13892, 36, 25006])).
% 14.40/10.11 tff(25008,plain,
% 14.40/10.11 (xuntil6(s176) | (~until5(s176))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13916, 294, 25007])).
% 14.40/10.11 tff(25009,plain,
% 14.40/10.11 (~until5(s176)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25008, 25005])).
% 14.40/10.11 tff(25010,plain,
% 14.40/10.11 (~xuntil6(s175)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13924, 25009])).
% 14.40/10.11 tff(25011,plain,
% 14.40/10.11 (~always3(s175)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13933, 25006])).
% 14.40/10.11 tff(25012,plain,
% 14.40/10.11 (~node4(s175)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14012, 36, 25011])).
% 14.40/10.11 tff(25013,plain,
% 14.40/10.11 (xuntil6(s175) | (~until5(s175))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[14019, 294, 25012])).
% 14.40/10.11 tff(25014,plain,
% 14.40/10.11 (~until5(s175)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25013, 25010])).
% 14.40/10.11 tff(25015,plain,
% 14.40/10.11 (~xuntil6(s174)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13874, 25014])).
% 14.40/10.11 tff(25016,plain,
% 14.40/10.11 (~always3(s174)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13839, 25011])).
% 14.40/10.11 tff(25017,plain,
% 14.40/10.11 (~node4(s174)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13747, 36, 25016])).
% 14.40/10.11 tff(25018,plain,
% 14.40/10.11 (xuntil6(s174) | (~until5(s174))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13754, 294, 25017])).
% 14.40/10.11 tff(25019,plain,
% 14.40/10.11 (~until5(s174)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25018, 25015])).
% 14.40/10.11 tff(25020,plain,
% 14.40/10.11 (~xuntil6(s173)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13740, 25019])).
% 14.40/10.11 tff(25021,plain,
% 14.40/10.11 (~always3(s173)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13656, 25016])).
% 14.40/10.11 tff(25022,plain,
% 14.40/10.11 (~node4(s173)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13566, 36, 25021])).
% 14.40/10.11 tff(25023,plain,
% 14.40/10.11 (xuntil6(s173) | (~until5(s173))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13573, 294, 25022])).
% 14.40/10.11 tff(25024,plain,
% 14.40/10.11 (~until5(s173)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25023, 25020])).
% 14.40/10.11 tff(25025,plain,
% 14.40/10.11 (~xuntil6(s172)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13579, 25024])).
% 14.40/10.11 tff(25026,plain,
% 14.40/10.11 (~always3(s172)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13558, 25021])).
% 14.40/10.11 tff(25027,plain,
% 14.40/10.11 (~node4(s172)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13562, 36, 25026])).
% 14.40/10.11 tff(25028,plain,
% 14.40/10.11 (xuntil6(s172) | (~until5(s172))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13586, 294, 25027])).
% 14.40/10.11 tff(25029,plain,
% 14.40/10.11 (~until5(s172)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25028, 25025])).
% 14.40/10.11 tff(25030,plain,
% 14.40/10.11 (~xuntil6(s171)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13543, 25029])).
% 14.40/10.11 tff(25031,plain,
% 14.40/10.11 (~always3(s171)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13508, 25026])).
% 14.40/10.11 tff(25032,plain,
% 14.40/10.11 (~node4(s171)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13496, 36, 25031])).
% 14.40/10.11 tff(25033,plain,
% 14.40/10.11 (xuntil6(s171) | (~until5(s171))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13537, 294, 25032])).
% 14.40/10.11 tff(25034,plain,
% 14.40/10.11 (~until5(s171)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25033, 25030])).
% 14.40/10.11 tff(25035,plain,
% 14.40/10.11 (~xuntil6(s170)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13487, 25034])).
% 14.40/10.11 tff(25036,plain,
% 14.40/10.11 (~always3(s170)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13394, 25031])).
% 14.40/10.11 tff(25037,plain,
% 14.40/10.11 (~node4(s170)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13268, 36, 25036])).
% 14.40/10.11 tff(25038,plain,
% 14.40/10.11 (xuntil6(s170) | (~until5(s170))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13275, 294, 25037])).
% 14.40/10.11 tff(25039,plain,
% 14.40/10.11 (~until5(s170)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25038, 25035])).
% 14.40/10.11 tff(25040,plain,
% 14.40/10.11 (~xuntil6(s169)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13281, 25039])).
% 14.40/10.11 tff(25041,plain,
% 14.40/10.11 (~always3(s169)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13260, 25036])).
% 14.40/10.11 tff(25042,plain,
% 14.40/10.11 (~node4(s169)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13264, 36, 25041])).
% 14.40/10.11 tff(25043,plain,
% 14.40/10.11 (xuntil6(s169) | (~until5(s169))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13380, 294, 25042])).
% 14.40/10.11 tff(25044,plain,
% 14.40/10.11 (~until5(s169)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25043, 25040])).
% 14.40/10.11 tff(25045,plain,
% 14.40/10.11 (~xuntil6(s168)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13373, 25044])).
% 14.40/10.11 tff(25046,plain,
% 14.40/10.11 (~always3(s168)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13293, 25041])).
% 14.40/10.11 tff(25047,plain,
% 14.40/10.11 (~node4(s168)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13331, 36, 25046])).
% 14.40/10.11 tff(25048,plain,
% 14.40/10.11 (xuntil6(s168) | (~until5(s168))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13367, 294, 25047])).
% 14.40/10.11 tff(25049,plain,
% 14.40/10.11 (~until5(s168)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25048, 25045])).
% 14.40/10.11 tff(25050,plain,
% 14.40/10.11 (~xuntil6(s167)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13322, 25049])).
% 14.40/10.11 tff(25051,plain,
% 14.40/10.11 (~always3(s167)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13305, 25046])).
% 14.40/10.11 tff(25052,plain,
% 14.40/10.11 (~node4(s167)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13309, 36, 25051])).
% 14.40/10.11 tff(25053,plain,
% 14.40/10.11 (xuntil6(s167) | (~until5(s167))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13316, 294, 25052])).
% 14.40/10.11 tff(25054,plain,
% 14.40/10.11 (~until5(s167)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25053, 25050])).
% 14.40/10.11 tff(25055,plain,
% 14.40/10.11 (~xuntil6(s166)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13245, 25054])).
% 14.40/10.11 tff(25056,plain,
% 14.40/10.11 (~always3(s166)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13155, 25051])).
% 14.40/10.11 tff(25057,plain,
% 14.40/10.11 (~node4(s166)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13085, 36, 25056])).
% 14.40/10.11 tff(25058,plain,
% 14.40/10.11 (xuntil6(s166) | (~until5(s166))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13092, 294, 25057])).
% 14.40/10.11 tff(25059,plain,
% 14.40/10.11 (~until5(s166)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25058, 25055])).
% 14.40/10.11 tff(25060,plain,
% 14.40/10.11 (~xuntil6(s165)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13098, 25059])).
% 14.40/10.11 tff(25061,plain,
% 14.40/10.11 (~always3(s165)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13077, 25056])).
% 14.40/10.11 tff(25062,plain,
% 14.40/10.11 (~node4(s165)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13081, 36, 25061])).
% 14.40/10.11 tff(25063,plain,
% 14.40/10.11 (xuntil6(s165) | (~until5(s165))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13134, 294, 25062])).
% 14.40/10.11 tff(25064,plain,
% 14.40/10.11 (~until5(s165)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25063, 25060])).
% 14.40/10.11 tff(25065,plain,
% 14.40/10.11 (~xuntil6(s164)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13127, 25064])).
% 14.40/10.11 tff(25066,plain,
% 14.40/10.11 (~always3(s164)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13110, 25061])).
% 14.40/10.11 tff(25067,plain,
% 14.40/10.11 (~node4(s164)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13114, 36, 25066])).
% 14.40/10.11 tff(25068,plain,
% 14.40/10.11 (xuntil6(s164) | (~until5(s164))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13121, 294, 25067])).
% 14.40/10.11 tff(25069,plain,
% 14.40/10.11 (~until5(s164)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25068, 25065])).
% 14.40/10.11 tff(25070,plain,
% 14.40/10.11 (~xuntil6(s163)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13062, 25069])).
% 14.40/10.11 tff(25071,plain,
% 14.40/10.11 (~always3(s163)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[13027, 25066])).
% 14.40/10.11 tff(25072,plain,
% 14.40/10.11 (~node4(s163)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12945, 36, 25071])).
% 14.40/10.11 tff(25073,plain,
% 14.40/10.11 (xuntil6(s163) | (~until5(s163))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12952, 294, 25072])).
% 14.40/10.11 tff(25074,plain,
% 14.40/10.11 (~until5(s163)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25073, 25070])).
% 14.40/10.11 tff(25075,plain,
% 14.40/10.11 (~xuntil6(s162)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12939, 25074])).
% 14.40/10.11 tff(25076,plain,
% 14.40/10.11 (~always3(s162)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12904, 25071])).
% 14.40/10.11 tff(25077,plain,
% 14.40/10.11 (~node4(s162)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12892, 36, 25076])).
% 14.40/10.11 tff(25078,plain,
% 14.40/10.11 (xuntil6(s162) | (~until5(s162))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12933, 294, 25077])).
% 14.40/10.11 tff(25079,plain,
% 14.40/10.11 (~until5(s162)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25078, 25075])).
% 14.40/10.11 tff(25080,plain,
% 14.40/10.11 (~xuntil6(s161)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12883, 25079])).
% 14.40/10.11 tff(25081,plain,
% 14.40/10.11 (~always3(s161)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12573, 25076])).
% 14.40/10.11 tff(25082,plain,
% 14.40/10.11 (~node4(s161)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12319, 36, 25081])).
% 14.40/10.11 tff(25083,plain,
% 14.40/10.11 (xuntil6(s161) | (~until5(s161))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12326, 294, 25082])).
% 14.40/10.11 tff(25084,plain,
% 14.40/10.11 (~until5(s161)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25083, 25080])).
% 14.40/10.11 tff(25085,plain,
% 14.40/10.11 (~xuntil6(s160)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12332, 25084])).
% 14.40/10.11 tff(25086,plain,
% 14.40/10.11 (~always3(s160)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12311, 25081])).
% 14.40/10.11 tff(25087,plain,
% 14.40/10.11 (~node4(s160)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12315, 36, 25086])).
% 14.40/10.11 tff(25088,plain,
% 14.40/10.11 (xuntil6(s160) | (~until5(s160))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12339, 294, 25087])).
% 14.40/10.11 tff(25089,plain,
% 14.40/10.11 (~until5(s160)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25088, 25085])).
% 14.40/10.11 tff(25090,plain,
% 14.40/10.11 (~xuntil6(s159)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12347, 25089])).
% 14.40/10.11 tff(25091,plain,
% 14.40/10.11 (~always3(s159)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12356, 25086])).
% 14.40/10.11 tff(25092,plain,
% 14.40/10.11 (~node4(s159)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12360, 36, 25091])).
% 14.40/10.11 tff(25093,plain,
% 14.40/10.11 (xuntil6(s159) | (~until5(s159))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12367, 294, 25092])).
% 14.40/10.11 tff(25094,plain,
% 14.40/10.11 (~until5(s159)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25093, 25090])).
% 14.40/10.11 tff(25095,plain,
% 14.40/10.11 (~xuntil6(s158)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12376, 25094])).
% 14.40/10.11 tff(25096,plain,
% 14.40/10.11 (~always3(s158)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12385, 25091])).
% 14.40/10.11 tff(25097,plain,
% 14.40/10.11 (~node4(s158)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12389, 36, 25096])).
% 14.40/10.11 tff(25098,plain,
% 14.40/10.11 (xuntil6(s158) | (~until5(s158))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12396, 294, 25097])).
% 14.40/10.11 tff(25099,plain,
% 14.40/10.11 (~until5(s158)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25098, 25095])).
% 14.40/10.11 tff(25100,plain,
% 14.40/10.11 (~xuntil6(s157)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12405, 25099])).
% 14.40/10.11 tff(25101,plain,
% 14.40/10.11 (~always3(s157)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12414, 25096])).
% 14.40/10.11 tff(25102,plain,
% 14.40/10.11 (~node4(s157)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12418, 36, 25101])).
% 14.40/10.11 tff(25103,plain,
% 14.40/10.11 (xuntil6(s157) | (~until5(s157))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12425, 294, 25102])).
% 14.40/10.11 tff(25104,plain,
% 14.40/10.11 (~until5(s157)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25103, 25100])).
% 14.40/10.11 tff(25105,plain,
% 14.40/10.11 (~xuntil6(s156)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12522, 25104])).
% 14.40/10.11 tff(25106,plain,
% 14.40/10.11 (~always3(s156)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12438, 25101])).
% 14.40/10.11 tff(25107,plain,
% 14.40/10.11 (~node4(s156)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12509, 36, 25106])).
% 14.40/10.11 tff(25108,plain,
% 14.40/10.11 (xuntil6(s156) | (~until5(s156))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12516, 294, 25107])).
% 14.40/10.11 tff(25109,plain,
% 14.40/10.11 (~until5(s156)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25108, 25105])).
% 14.40/10.11 tff(25110,plain,
% 14.40/10.11 (~xuntil6(s155)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12505, 25109])).
% 14.40/10.11 tff(25111,plain,
% 14.40/10.11 (~always3(s155)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12450, 25106])).
% 14.40/10.11 tff(25112,plain,
% 14.40/10.11 (~node4(s155)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12492, 36, 25111])).
% 14.40/10.11 tff(25113,plain,
% 14.40/10.11 (xuntil6(s155) | (~until5(s155))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12499, 294, 25112])).
% 14.40/10.11 tff(25114,plain,
% 14.40/10.11 (~until5(s155)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25113, 25110])).
% 14.40/10.11 tff(25115,plain,
% 14.40/10.11 (~xuntil6(s154)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12488, 25114])).
% 14.40/10.11 tff(25116,plain,
% 14.40/10.11 (~always3(s154)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12462, 25111])).
% 14.40/10.11 tff(25117,plain,
% 14.40/10.11 (~node4(s154)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12475, 36, 25116])).
% 14.40/10.11 tff(25118,plain,
% 14.40/10.11 (xuntil6(s154) | (~until5(s154))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12482, 294, 25117])).
% 14.40/10.11 tff(25119,plain,
% 14.40/10.11 (~until5(s154)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25118, 25115])).
% 14.40/10.11 tff(25120,plain,
% 14.40/10.11 (~xuntil6(s153)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12297, 25119])).
% 14.40/10.11 tff(25121,plain,
% 14.40/10.11 (~always3(s153)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12262, 25116])).
% 14.40/10.11 tff(25122,plain,
% 14.40/10.11 (~node4(s153)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12250, 36, 25121])).
% 14.40/10.11 tff(25123,plain,
% 14.40/10.11 (xuntil6(s153) | (~until5(s153))),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12291, 294, 25122])).
% 14.40/10.11 tff(25124,plain,
% 14.40/10.11 (~until5(s153)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[25123, 25120])).
% 14.40/10.11 tff(25125,plain,
% 14.40/10.11 (~xuntil6(s152)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12241, 25124])).
% 14.40/10.11 tff(25126,plain,
% 14.40/10.11 (~always3(s152)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12206, 25121])).
% 14.40/10.11 tff(25127,plain,
% 14.40/10.11 (~always3(s151)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[12149, 25126])).
% 14.40/10.11 tff(25128,plain,
% 14.40/10.11 (~always3(s150)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[10326, 25127])).
% 14.40/10.11 tff(25129,plain,
% 14.40/10.11 (~always3(s149)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9315, 25128])).
% 14.40/10.11 tff(25130,plain,
% 14.40/10.11 (~always3(s148)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9360, 25129])).
% 14.40/10.11 tff(25131,plain,
% 14.40/10.11 (~always3(s147)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9389, 25130])).
% 14.40/10.11 tff(25132,plain,
% 14.40/10.11 (~always3(s146)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9418, 25131])).
% 14.40/10.11 tff(25133,plain,
% 14.40/10.11 (~always3(s145)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9447, 25132])).
% 14.40/10.11 tff(25134,plain,
% 14.40/10.11 (~always3(s144)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9476, 25133])).
% 14.40/10.11 tff(25135,plain,
% 14.40/10.11 (~always3(s143)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9191, 25134])).
% 14.40/10.11 tff(25136,plain,
% 14.40/10.11 (~always3(s142)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9513, 25135])).
% 14.40/10.11 tff(25137,plain,
% 14.40/10.11 (~always3(s141)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9272, 25136])).
% 14.40/10.11 tff(25138,plain,
% 14.40/10.11 (~always3(s140)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9557, 25137])).
% 14.40/10.11 tff(25139,plain,
% 14.40/10.11 (~always3(s139)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9586, 25138])).
% 14.40/10.11 tff(25140,plain,
% 14.40/10.11 (~always3(s138)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9615, 25139])).
% 14.40/10.11 tff(25141,plain,
% 14.40/10.11 (~always3(s137)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9644, 25140])).
% 14.40/10.11 tff(25142,plain,
% 14.40/10.11 (~always3(s136)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9673, 25141])).
% 14.40/10.11 tff(25143,plain,
% 14.40/10.11 (~always3(s135)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9702, 25142])).
% 14.40/10.11 tff(25144,plain,
% 14.40/10.11 (~always3(s134)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9731, 25143])).
% 14.40/10.11 tff(25145,plain,
% 14.40/10.11 (~always3(s133)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9760, 25144])).
% 14.40/10.11 tff(25146,plain,
% 14.40/10.11 (~always3(s132)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9772, 25145])).
% 14.40/10.11 tff(25147,plain,
% 14.40/10.11 (~always3(s131)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9784, 25146])).
% 14.40/10.11 tff(25148,plain,
% 14.40/10.11 (~always3(s130)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9796, 25147])).
% 14.40/10.11 tff(25149,plain,
% 14.40/10.11 (~always3(s129)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9808, 25148])).
% 14.40/10.11 tff(25150,plain,
% 14.40/10.11 (~always3(s128)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9820, 25149])).
% 14.40/10.11 tff(25151,plain,
% 14.40/10.11 (~always3(s127)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9832, 25150])).
% 14.40/10.11 tff(25152,plain,
% 14.40/10.11 (~always3(s126)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9844, 25151])).
% 14.40/10.11 tff(25153,plain,
% 14.40/10.11 (~always3(s125)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9856, 25152])).
% 14.40/10.11 tff(25154,plain,
% 14.40/10.11 (~always3(s124)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9868, 25153])).
% 14.40/10.11 tff(25155,plain,
% 14.40/10.11 (~always3(s123)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9880, 25154])).
% 14.40/10.11 tff(25156,plain,
% 14.40/10.11 (~always3(s122)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9892, 25155])).
% 14.40/10.11 tff(25157,plain,
% 14.40/10.11 (~always3(s121)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9904, 25156])).
% 14.40/10.11 tff(25158,plain,
% 14.40/10.11 (~always3(s120)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9916, 25157])).
% 14.40/10.11 tff(25159,plain,
% 14.40/10.11 (~always3(s119)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9928, 25158])).
% 14.40/10.11 tff(25160,plain,
% 14.40/10.11 (~always3(s118)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9940, 25159])).
% 14.40/10.11 tff(25161,plain,
% 14.40/10.11 (~always3(s117)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9952, 25160])).
% 14.40/10.11 tff(25162,plain,
% 14.40/10.11 (~always3(s116)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[9968, 25161])).
% 14.40/10.11 tff(25163,plain,
% 14.40/10.11 (~always3(s115)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[8896, 25162])).
% 14.40/10.11 tff(25164,plain,
% 14.40/10.11 (~always3(s114)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[8806, 25163])).
% 14.40/10.11 tff(25165,plain,
% 14.40/10.11 (~always3(s113)),
% 14.40/10.11 inference(unit_resolution,[status(thm)],[8739, 25164])).
% 14.40/10.11 tff(25166,plain,
% 14.40/10.11 (~always3(s112)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8701, 25165])).
% 14.40/10.12 tff(25167,plain,
% 14.40/10.12 (~always3(s111)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8639, 25166])).
% 14.40/10.12 tff(25168,plain,
% 14.40/10.12 (~always3(s110)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8342, 25167])).
% 14.40/10.12 tff(25169,plain,
% 14.40/10.12 (~always3(s109)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8183, 25168])).
% 14.40/10.12 tff(25170,plain,
% 14.40/10.12 (~always3(s108)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8019, 25169])).
% 14.40/10.12 tff(25171,plain,
% 14.40/10.12 (~always3(s107)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8064, 25170])).
% 14.40/10.12 tff(25172,plain,
% 14.40/10.12 (~always3(s106)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8076, 25171])).
% 14.40/10.12 tff(25173,plain,
% 14.40/10.12 (~always3(s105)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8092, 25172])).
% 14.40/10.12 tff(25174,plain,
% 14.40/10.12 (~always3(s104)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7969, 25173])).
% 14.40/10.12 tff(25175,plain,
% 14.40/10.12 (~always3(s103)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7454, 25174])).
% 14.40/10.12 tff(25176,plain,
% 14.40/10.12 (~always3(s102)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7088, 25175])).
% 14.40/10.12 tff(25177,plain,
% 14.40/10.12 (~always3(s101)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7133, 25176])).
% 14.40/10.12 tff(25178,plain,
% 14.40/10.12 (~always3(s100)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7162, 25177])).
% 14.40/10.12 tff(25179,plain,
% 14.40/10.12 (~always3(s99)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7191, 25178])).
% 14.40/10.12 tff(25180,plain,
% 14.40/10.12 (~always3(s98)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7220, 25179])).
% 14.40/10.12 tff(25181,plain,
% 14.40/10.12 (~always3(s97)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7016, 25180])).
% 14.40/10.12 tff(25182,plain,
% 14.40/10.12 (~always3(s96)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6978, 25181])).
% 14.40/10.12 tff(25183,plain,
% 14.40/10.12 (~always3(s95)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7252, 25182])).
% 14.40/10.12 tff(25184,plain,
% 14.40/10.12 (~always3(s94)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6622, 25183])).
% 14.40/10.12 tff(25185,plain,
% 14.40/10.12 (~always3(s93)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6572, 25184])).
% 14.40/10.12 tff(25186,plain,
% 14.40/10.12 (~always3(s92)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6516, 25185])).
% 14.40/10.12 tff(25187,plain,
% 14.40/10.12 (~always3(s91)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6312, 25186])).
% 14.40/10.12 tff(25188,plain,
% 14.40/10.12 (~always3(s90)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5700, 25187])).
% 14.40/10.12 tff(25189,plain,
% 14.40/10.12 (~always3(s89)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5712, 25188])).
% 14.40/10.12 tff(25190,plain,
% 14.40/10.12 (~always3(s88)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5724, 25189])).
% 14.40/10.12 tff(25191,plain,
% 14.40/10.12 (~always3(s87)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5736, 25190])).
% 14.40/10.12 tff(25192,plain,
% 14.40/10.12 (~always3(s86)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5748, 25191])).
% 14.40/10.12 tff(25193,plain,
% 14.40/10.12 (~always3(s85)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5760, 25192])).
% 14.40/10.12 tff(25194,plain,
% 14.40/10.12 (~always3(s84)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5772, 25193])).
% 14.40/10.12 tff(25195,plain,
% 14.40/10.12 (~always3(s83)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5784, 25194])).
% 14.40/10.12 tff(25196,plain,
% 14.40/10.12 (~always3(s82)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5796, 25195])).
% 14.40/10.12 tff(25197,plain,
% 14.40/10.12 (~always3(s81)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6219, 25196])).
% 14.40/10.12 tff(25198,plain,
% 14.40/10.12 (~always3(s80)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5627, 25197])).
% 14.40/10.12 tff(25199,plain,
% 14.40/10.12 (~always3(s79)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5571, 25198])).
% 14.40/10.12 tff(25200,plain,
% 14.40/10.12 (~always3(s78)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5515, 25199])).
% 14.40/10.12 tff(25201,plain,
% 14.40/10.12 (~always3(s77)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5459, 25200])).
% 14.40/10.12 tff(25202,plain,
% 14.40/10.12 (~always3(s76)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5403, 25201])).
% 14.40/10.12 tff(25203,plain,
% 14.40/10.12 (~always3(s75)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5347, 25202])).
% 14.40/10.12 tff(25204,plain,
% 14.40/10.12 (~always3(s74)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5291, 25203])).
% 14.40/10.12 tff(25205,plain,
% 14.40/10.12 (~always3(s73)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5235, 25204])).
% 14.40/10.12 tff(25206,plain,
% 14.40/10.12 (~always3(s72)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5179, 25205])).
% 14.40/10.12 tff(25207,plain,
% 14.40/10.12 (~always3(s71)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5123, 25206])).
% 14.40/10.12 tff(25208,plain,
% 14.40/10.12 (~always3(s70)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5067, 25207])).
% 14.40/10.12 tff(25209,plain,
% 14.40/10.12 (~always3(s69)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5011, 25208])).
% 14.40/10.12 tff(25210,plain,
% 14.40/10.12 (~always3(s68)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4955, 25209])).
% 14.40/10.12 tff(25211,plain,
% 14.40/10.12 (~always3(s67)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4899, 25210])).
% 14.40/10.12 tff(25212,plain,
% 14.40/10.12 (~always3(s66)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4835, 25211])).
% 14.40/10.12 tff(25213,plain,
% 14.40/10.12 (~always3(s65)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[129, 25212])).
% 14.40/10.12 tff(25214,plain,
% 14.40/10.12 (~always3(s64)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4721, 25213])).
% 14.40/10.12 tff(25215,plain,
% 14.40/10.12 (~always3(s63)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4528, 25214])).
% 14.40/10.12 tff(25216,plain,
% 14.40/10.12 (~always3(s62)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4065, 25215])).
% 14.40/10.12 tff(25217,plain,
% 14.40/10.12 (~always3(s61)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3929, 25216])).
% 14.40/10.12 tff(25218,plain,
% 14.40/10.12 (~always3(s60)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3969, 25217])).
% 14.40/10.12 tff(25219,plain,
% 14.40/10.12 (~always3(s59)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3985, 25218])).
% 14.40/10.12 tff(25220,plain,
% 14.40/10.12 (~always3(s58)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3735, 25219])).
% 14.40/10.12 tff(25221,plain,
% 14.40/10.12 (~always3(s57)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3747, 25220])).
% 14.40/10.12 tff(25222,plain,
% 14.40/10.12 (~always3(s56)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3759, 25221])).
% 14.40/10.12 tff(25223,plain,
% 14.40/10.12 (~always3(s55)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3686, 25222])).
% 14.40/10.12 tff(25224,plain,
% 14.40/10.12 (~always3(s54)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3630, 25223])).
% 14.40/10.12 tff(25225,plain,
% 14.40/10.12 (~always3(s53)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3530, 25224])).
% 14.40/10.12 tff(25226,plain,
% 14.40/10.12 (~always3(s52)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3474, 25225])).
% 14.40/10.12 tff(25227,plain,
% 14.40/10.12 (~always3(s51)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3232, 25226])).
% 14.40/10.12 tff(25228,plain,
% 14.40/10.12 (~always3(s50)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3048, 25227])).
% 14.40/10.12 tff(25229,plain,
% 14.40/10.12 (~always3(s49)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3093, 25228])).
% 14.40/10.12 tff(25230,plain,
% 14.40/10.12 (~always3(s48)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3122, 25229])).
% 14.40/10.12 tff(25231,plain,
% 14.40/10.12 (~always3(s47)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3151, 25230])).
% 14.40/10.12 tff(25232,plain,
% 14.40/10.12 (~always3(s46)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3175, 25231])).
% 14.40/10.12 tff(25233,plain,
% 14.40/10.12 (~always3(s45)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3000, 25232])).
% 14.40/10.12 tff(25234,plain,
% 14.40/10.12 (~always3(s44)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2944, 25233])).
% 14.40/10.12 tff(25235,plain,
% 14.40/10.12 (~always3(s43)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2888, 25234])).
% 14.40/10.12 tff(25236,plain,
% 14.40/10.12 (~always3(s42)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2832, 25235])).
% 14.40/10.12 tff(25237,plain,
% 14.40/10.12 (~always3(s41)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2773, 25236])).
% 14.40/10.12 tff(25238,plain,
% 14.40/10.12 (~always3(s40)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2699, 25237])).
% 14.40/10.12 tff(25239,plain,
% 14.40/10.12 (~always3(s39)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2661, 25238])).
% 14.40/10.12 tff(25240,plain,
% 14.40/10.12 (~always3(s38)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2599, 25239])).
% 14.40/10.12 tff(25241,plain,
% 14.40/10.12 (~always3(s37)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1912, 25240])).
% 14.40/10.12 tff(25242,plain,
% 14.40/10.12 (~always3(s36)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1333, 25241])).
% 14.40/10.12 tff(25243,plain,
% 14.40/10.12 (~always3(s35)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1378, 25242])).
% 14.40/10.12 tff(25244,plain,
% 14.40/10.12 (~always3(s34)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1407, 25243])).
% 14.40/10.12 tff(25245,plain,
% 14.40/10.12 (~always3(s33)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1436, 25244])).
% 14.40/10.12 tff(25246,plain,
% 14.40/10.12 (~always3(s32)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[200, 25245])).
% 14.40/10.12 tff(25247,plain,
% 14.40/10.12 (~always3(s31)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1480, 25246])).
% 14.40/10.12 tff(25248,plain,
% 14.40/10.12 (~always3(s30)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[249, 25247])).
% 14.40/10.12 tff(25249,plain,
% 14.40/10.12 (~always3(s29)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1524, 25248])).
% 14.40/10.12 tff(25250,plain,
% 14.40/10.12 (~always3(s28)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[151, 25249])).
% 14.40/10.12 tff(25251,plain,
% 14.40/10.12 (~always3(s27)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1568, 25250])).
% 14.40/10.12 tff(25252,plain,
% 14.40/10.12 (~always3(s26)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1592, 25251])).
% 14.40/10.12 tff(25253,plain,
% 14.40/10.12 (~always3(s25)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1604, 25252])).
% 14.40/10.12 tff(25254,plain,
% 14.40/10.12 (~always3(s24)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1616, 25253])).
% 14.40/10.12 tff(25255,plain,
% 14.40/10.12 (~always3(s23)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1628, 25254])).
% 14.40/10.12 tff(25256,plain,
% 14.40/10.12 (~always3(s22)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1640, 25255])).
% 14.40/10.12 tff(25257,plain,
% 14.40/10.12 (~always3(s21)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1652, 25256])).
% 14.40/10.12 tff(25258,plain,
% 14.40/10.12 (~always3(s20)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1664, 25257])).
% 14.40/10.12 tff(25259,plain,
% 14.40/10.12 (~always3(s19)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1676, 25258])).
% 14.40/10.12 tff(25260,plain,
% 14.40/10.12 (~always3(s18)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1688, 25259])).
% 14.40/10.12 tff(25261,plain,
% 14.40/10.12 (~always3(s17)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1700, 25260])).
% 14.40/10.12 tff(25262,plain,
% 14.40/10.12 (~always3(s16)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1716, 25261])).
% 14.40/10.12 tff(25263,plain,
% 14.40/10.12 (~always3(s15)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1259, 25262])).
% 14.40/10.12 tff(25264,plain,
% 14.40/10.12 (~always3(s14)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1142, 25263])).
% 14.40/10.12 tff(25265,plain,
% 14.40/10.12 (~always3(s13)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1093, 25264])).
% 14.40/10.12 tff(25266,plain,
% 14.40/10.12 (~always3(s12)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1037, 25265])).
% 14.40/10.12 tff(25267,plain,
% 14.40/10.12 (~always3(s11)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[981, 25266])).
% 14.40/10.12 tff(25268,plain,
% 14.40/10.12 (~always3(s10)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[925, 25267])).
% 14.40/10.12 tff(25269,plain,
% 14.40/10.12 (~always3(s9)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[869, 25268])).
% 14.40/10.12 tff(25270,plain,
% 14.40/10.12 (~always3(s8)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[813, 25269])).
% 14.40/10.12 tff(25271,plain,
% 14.40/10.12 (~always3(s7)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[737, 25270])).
% 14.40/10.12 tff(25272,plain,
% 14.40/10.12 (~always3(s6)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[696, 25271])).
% 14.40/10.12 tff(25273,plain,
% 14.40/10.12 (~always3(s5)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[615, 25272])).
% 14.40/10.12 tff(25274,plain,
% 14.40/10.12 (~always3(s4)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[548, 25273])).
% 14.40/10.12 tff(25275,plain,
% 14.40/10.12 (~always3(s3)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[499, 25274])).
% 14.40/10.12 tff(25276,plain,
% 14.40/10.12 (~always3(s2)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[420, 25275])).
% 14.40/10.12 tff(25277,plain,
% 14.40/10.12 (~always3(s1)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[328, 25276])).
% 14.40/10.12 tff(25278,plain,
% 14.40/10.12 (~node4(s1)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[369, 36, 25277])).
% 14.40/10.12 tff(25279,plain,
% 14.40/10.12 (~always3(s0)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[340, 25277])).
% 14.40/10.12 tff(25280,plain,
% 14.40/10.12 (~node4(s0)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[344, 36, 25279])).
% 14.40/10.12 tff(25281,plain,
% 14.40/10.12 (xuntil6(s0)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[355, 25280])).
% 14.40/10.12 tff(25282,plain,
% 14.40/10.12 (until5(s1)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[360, 25281])).
% 14.40/10.12 tff(25283,plain,
% 14.40/10.12 (xuntil6(s1)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[405, 294, 25282, 25278])).
% 14.40/10.12 tff(25284,plain,
% 14.40/10.12 (until5(s2)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[319, 25283])).
% 14.40/10.12 tff(25285,plain,
% 14.40/10.12 (~node4(s2)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[283, 36, 25276])).
% 14.40/10.12 tff(25286,plain,
% 14.40/10.12 (xuntil6(s2) | (~until5(s2))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[300, 294, 25285])).
% 14.40/10.12 tff(25287,plain,
% 14.40/10.12 (xuntil6(s2)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25286, 25284])).
% 14.40/10.12 tff(25288,plain,
% 14.40/10.12 (until5(s3)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[478, 25287])).
% 14.40/10.12 tff(25289,plain,
% 14.40/10.12 (~node4(s3)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[487, 36, 25275])).
% 14.40/10.12 tff(25290,plain,
% 14.40/10.12 (xuntil6(s3) | (~until5(s3))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[528, 294, 25289])).
% 14.40/10.12 tff(25291,plain,
% 14.40/10.12 (xuntil6(s3)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25290, 25288])).
% 14.40/10.12 tff(25292,plain,
% 14.40/10.12 (until5(s4)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[534, 25291])).
% 14.40/10.12 tff(25293,plain,
% 14.40/10.12 (~node4(s4)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[552, 36, 25274])).
% 14.40/10.12 tff(25294,plain,
% 14.40/10.12 (xuntil6(s4) | (~until5(s4))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[576, 294, 25293])).
% 14.40/10.12 tff(25295,plain,
% 14.40/10.12 (xuntil6(s4)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25294, 25292])).
% 14.40/10.12 tff(25296,plain,
% 14.40/10.12 (until5(s5)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[569, 25295])).
% 14.40/10.12 tff(25297,plain,
% 14.40/10.12 (~node4(s5)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[556, 36, 25273])).
% 14.40/10.12 tff(25298,plain,
% 14.40/10.12 (xuntil6(s5) | (~until5(s5))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[563, 294, 25297])).
% 14.40/10.12 tff(25299,plain,
% 14.40/10.12 (xuntil6(s5)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25298, 25296])).
% 14.40/10.12 tff(25300,plain,
% 14.40/10.12 (until5(s6)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[670, 25299])).
% 14.40/10.12 tff(25301,plain,
% 14.40/10.12 (~node4(s6)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[700, 36, 25272])).
% 14.40/10.12 tff(25302,plain,
% 14.40/10.12 (xuntil6(s6) | (~until5(s6))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[710, 294, 25301])).
% 14.40/10.12 tff(25303,plain,
% 14.40/10.12 (xuntil6(s6)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25302, 25300])).
% 14.40/10.12 tff(25304,plain,
% 14.40/10.12 (until5(s7)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[716, 25303])).
% 14.40/10.12 tff(25305,plain,
% 14.40/10.12 (~node4(s7)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[676, 36, 25271])).
% 14.40/10.12 tff(25306,plain,
% 14.40/10.12 (xuntil6(s7) | (~until5(s7))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[683, 294, 25305])).
% 14.40/10.12 tff(25307,plain,
% 14.40/10.12 (xuntil6(s7)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25306, 25304])).
% 14.40/10.12 tff(25308,plain,
% 14.40/10.12 (until5(s8)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[792, 25307])).
% 14.40/10.12 tff(25309,plain,
% 14.40/10.12 (~node4(s8)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[801, 36, 25270])).
% 14.40/10.12 tff(25310,plain,
% 14.40/10.12 (xuntil6(s8) | (~until5(s8))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[842, 294, 25309])).
% 14.40/10.12 tff(25311,plain,
% 14.40/10.12 (xuntil6(s8)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25310, 25308])).
% 14.40/10.12 tff(25312,plain,
% 14.40/10.12 (until5(s9)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[848, 25311])).
% 14.40/10.12 tff(25313,plain,
% 14.40/10.12 (~node4(s9)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[857, 36, 25269])).
% 14.40/10.12 tff(25314,plain,
% 14.40/10.12 (xuntil6(s9) | (~until5(s9))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[898, 294, 25313])).
% 14.40/10.12 tff(25315,plain,
% 14.40/10.12 (xuntil6(s9)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25314, 25312])).
% 14.40/10.12 tff(25316,plain,
% 14.40/10.12 (until5(s10)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[904, 25315])).
% 14.40/10.12 tff(25317,plain,
% 14.40/10.12 (~node4(s10)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[913, 36, 25268])).
% 14.40/10.12 tff(25318,plain,
% 14.40/10.12 (xuntil6(s10) | (~until5(s10))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[954, 294, 25317])).
% 14.40/10.12 tff(25319,plain,
% 14.40/10.12 (xuntil6(s10)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25318, 25316])).
% 14.40/10.12 tff(25320,plain,
% 14.40/10.12 (until5(s11)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[960, 25319])).
% 14.40/10.12 tff(25321,plain,
% 14.40/10.12 (~node4(s11)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[969, 36, 25267])).
% 14.40/10.12 tff(25322,plain,
% 14.40/10.12 (xuntil6(s11) | (~until5(s11))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1010, 294, 25321])).
% 14.40/10.12 tff(25323,plain,
% 14.40/10.12 (xuntil6(s11)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25322, 25320])).
% 14.40/10.12 tff(25324,plain,
% 14.40/10.12 (until5(s12)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1016, 25323])).
% 14.40/10.12 tff(25325,plain,
% 14.40/10.12 (~node4(s12)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1025, 36, 25266])).
% 14.40/10.12 tff(25326,plain,
% 14.40/10.12 (xuntil6(s12) | (~until5(s12))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1066, 294, 25325])).
% 14.40/10.12 tff(25327,plain,
% 14.40/10.12 (xuntil6(s12)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25326, 25324])).
% 14.40/10.12 tff(25328,plain,
% 14.40/10.12 (until5(s13)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1072, 25327])).
% 14.40/10.12 tff(25329,plain,
% 14.40/10.12 (~node4(s13)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1081, 36, 25265])).
% 14.40/10.12 tff(25330,plain,
% 14.40/10.12 (xuntil6(s13) | (~until5(s13))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1122, 294, 25329])).
% 14.40/10.12 tff(25331,plain,
% 14.40/10.12 (xuntil6(s13)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25330, 25328])).
% 14.40/10.12 tff(25332,plain,
% 14.40/10.12 (until5(s14)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1128, 25331])).
% 14.40/10.12 tff(25333,plain,
% 14.40/10.12 (~node4(s14)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1146, 36, 25264])).
% 14.40/10.12 tff(25334,plain,
% 14.40/10.12 (xuntil6(s14) | (~until5(s14))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1170, 294, 25333])).
% 14.40/10.12 tff(25335,plain,
% 14.40/10.12 (xuntil6(s14)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25334, 25332])).
% 14.40/10.12 tff(25336,plain,
% 14.40/10.12 (until5(s15)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1163, 25335])).
% 14.40/10.12 tff(25337,plain,
% 14.40/10.12 (~node4(s15)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1150, 36, 25263])).
% 14.40/10.12 tff(25338,plain,
% 14.40/10.12 (xuntil6(s15) | (~until5(s15))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1157, 294, 25337])).
% 14.40/10.12 tff(25339,plain,
% 14.40/10.12 (xuntil6(s15)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25338, 25336])).
% 14.40/10.12 tff(25340,plain,
% 14.40/10.12 (until5(s16)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1318, 25339])).
% 14.40/10.12 tff(25341,plain,
% 14.40/10.12 (~node4(s16)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1720, 36, 25262])).
% 14.40/10.12 tff(25342,plain,
% 14.40/10.12 (xuntil6(s16) | (~until5(s16))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1727, 294, 25341])).
% 14.40/10.12 tff(25343,plain,
% 14.40/10.12 (xuntil6(s16)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25342, 25340])).
% 14.40/10.12 tff(25344,plain,
% 14.40/10.12 (until5(s17)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1733, 25343])).
% 14.40/10.12 tff(25345,plain,
% 14.40/10.12 (~node4(s17)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1704, 36, 25261])).
% 14.40/10.12 tff(25346,plain,
% 14.40/10.12 (xuntil6(s17) | (~until5(s17))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1740, 294, 25345])).
% 14.40/10.12 tff(25347,plain,
% 14.40/10.12 (xuntil6(s17)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25346, 25344])).
% 14.40/10.12 tff(25348,plain,
% 14.40/10.12 (until5(s18)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1745, 25347])).
% 14.40/10.12 tff(25349,plain,
% 14.40/10.12 (~node4(s18)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1749, 36, 25260])).
% 14.40/10.12 tff(25350,plain,
% 14.40/10.12 (xuntil6(s18) | (~until5(s18))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1756, 294, 25349])).
% 14.40/10.12 tff(25351,plain,
% 14.40/10.12 (xuntil6(s18)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25350, 25348])).
% 14.40/10.12 tff(25352,plain,
% 14.40/10.12 (until5(s19)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1762, 25351])).
% 14.40/10.12 tff(25353,plain,
% 14.40/10.12 (~node4(s19)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1766, 36, 25259])).
% 14.40/10.12 tff(25354,plain,
% 14.40/10.12 (xuntil6(s19) | (~until5(s19))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1773, 294, 25353])).
% 14.40/10.12 tff(25355,plain,
% 14.40/10.12 (xuntil6(s19)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25354, 25352])).
% 14.40/10.12 tff(25356,plain,
% 14.40/10.12 (until5(s20)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1779, 25355])).
% 14.40/10.12 tff(25357,plain,
% 14.40/10.12 (~node4(s20)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1783, 36, 25258])).
% 14.40/10.12 tff(25358,plain,
% 14.40/10.12 (xuntil6(s20) | (~until5(s20))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1790, 294, 25357])).
% 14.40/10.12 tff(25359,plain,
% 14.40/10.12 (xuntil6(s20)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25358, 25356])).
% 14.40/10.12 tff(25360,plain,
% 14.40/10.12 (until5(s21)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1796, 25359])).
% 14.40/10.12 tff(25361,plain,
% 14.40/10.12 (~node4(s21)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1800, 36, 25257])).
% 14.40/10.12 tff(25362,plain,
% 14.40/10.12 (xuntil6(s21) | (~until5(s21))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1807, 294, 25361])).
% 14.40/10.12 tff(25363,plain,
% 14.40/10.12 (xuntil6(s21)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25362, 25360])).
% 14.40/10.12 tff(25364,plain,
% 14.40/10.12 (until5(s22)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1813, 25363])).
% 14.40/10.12 tff(25365,plain,
% 14.40/10.12 (~node4(s22)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1817, 36, 25256])).
% 14.40/10.12 tff(25366,plain,
% 14.40/10.12 (xuntil6(s22) | (~until5(s22))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1824, 294, 25365])).
% 14.40/10.12 tff(25367,plain,
% 14.40/10.12 (xuntil6(s22)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25366, 25364])).
% 14.40/10.12 tff(25368,plain,
% 14.40/10.12 (until5(s23)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1830, 25367])).
% 14.40/10.12 tff(25369,plain,
% 14.40/10.12 (~node4(s23)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1834, 36, 25255])).
% 14.40/10.12 tff(25370,plain,
% 14.40/10.12 (xuntil6(s23) | (~until5(s23))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1841, 294, 25369])).
% 14.40/10.12 tff(25371,plain,
% 14.40/10.12 (xuntil6(s23)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25370, 25368])).
% 14.40/10.12 tff(25372,plain,
% 14.40/10.12 (until5(s24)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1847, 25371])).
% 14.40/10.12 tff(25373,plain,
% 14.40/10.12 (~node4(s24)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1851, 36, 25254])).
% 14.40/10.12 tff(25374,plain,
% 14.40/10.12 (xuntil6(s24) | (~until5(s24))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1858, 294, 25373])).
% 14.40/10.12 tff(25375,plain,
% 14.40/10.12 (xuntil6(s24)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25374, 25372])).
% 14.40/10.12 tff(25376,plain,
% 14.40/10.12 (until5(s25)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1864, 25375])).
% 14.40/10.12 tff(25377,plain,
% 14.40/10.12 (~node4(s25)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1868, 36, 25253])).
% 14.40/10.12 tff(25378,plain,
% 14.40/10.12 (xuntil6(s25) | (~until5(s25))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1875, 294, 25377])).
% 14.40/10.12 tff(25379,plain,
% 14.40/10.12 (xuntil6(s25)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25378, 25376])).
% 14.40/10.12 tff(25380,plain,
% 14.40/10.12 (until5(s26)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1881, 25379])).
% 14.40/10.12 tff(25381,plain,
% 14.40/10.12 (~node4(s26)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1885, 36, 25252])).
% 14.40/10.12 tff(25382,plain,
% 14.40/10.12 (xuntil6(s26) | (~until5(s26))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1892, 294, 25381])).
% 14.40/10.12 tff(25383,plain,
% 14.40/10.12 (xuntil6(s26)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25382, 25380])).
% 14.40/10.12 tff(25384,plain,
% 14.40/10.12 (until5(s27)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1898, 25383])).
% 14.40/10.12 tff(25385,plain,
% 14.40/10.12 (~node4(s27)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1572, 36, 25251])).
% 14.40/10.12 tff(25386,plain,
% 14.40/10.12 (xuntil6(s27) | (~until5(s27))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1579, 294, 25385])).
% 14.40/10.12 tff(25387,plain,
% 14.40/10.12 (xuntil6(s27)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25386, 25384])).
% 14.40/10.12 tff(25388,plain,
% 14.40/10.12 (until5(s28)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1559, 25387])).
% 14.40/10.12 tff(25389,plain,
% 14.40/10.12 (~node4(s28)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[139, 36, 25250])).
% 14.40/10.12 tff(25390,plain,
% 14.40/10.12 (xuntil6(s28) | (~until5(s28))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1550, 294, 25389])).
% 14.40/10.12 tff(25391,plain,
% 14.40/10.12 (xuntil6(s28)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25390, 25388])).
% 14.40/10.12 tff(25392,plain,
% 14.40/10.12 (until5(s29)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1541, 25391])).
% 14.40/10.12 tff(25393,plain,
% 14.40/10.12 (~node4(s29)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1528, 36, 25249])).
% 14.40/10.12 tff(25394,plain,
% 14.40/10.12 (xuntil6(s29) | (~until5(s29))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1535, 294, 25393])).
% 14.40/10.12 tff(25395,plain,
% 14.40/10.12 (xuntil6(s29)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25394, 25392])).
% 14.40/10.12 tff(25396,plain,
% 14.40/10.12 (until5(s30)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1515, 25395])).
% 14.40/10.12 tff(25397,plain,
% 14.40/10.12 (~node4(s30)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[237, 36, 25248])).
% 14.40/10.12 tff(25398,plain,
% 14.40/10.12 (xuntil6(s30) | (~until5(s30))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1506, 294, 25397])).
% 14.40/10.12 tff(25399,plain,
% 14.40/10.12 (xuntil6(s30)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25398, 25396])).
% 14.40/10.12 tff(25400,plain,
% 14.40/10.12 (until5(s31)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1497, 25399])).
% 14.40/10.12 tff(25401,plain,
% 14.40/10.12 (~node4(s31)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1484, 36, 25247])).
% 14.40/10.12 tff(25402,plain,
% 14.40/10.12 (xuntil6(s31) | (~until5(s31))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1491, 294, 25401])).
% 14.40/10.12 tff(25403,plain,
% 14.40/10.12 (xuntil6(s31)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25402, 25400])).
% 14.40/10.12 tff(25404,plain,
% 14.40/10.12 (until5(s32)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1471, 25403])).
% 14.40/10.12 tff(25405,plain,
% 14.40/10.12 (~node4(s32)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[188, 36, 25246])).
% 14.40/10.12 tff(25406,plain,
% 14.40/10.12 (xuntil6(s32) | (~until5(s32))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1462, 294, 25405])).
% 14.40/10.12 tff(25407,plain,
% 14.40/10.12 (xuntil6(s32)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25406, 25404])).
% 14.40/10.12 tff(25408,plain,
% 14.40/10.12 (until5(s33)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1453, 25407])).
% 14.40/10.12 tff(25409,plain,
% 14.40/10.12 (~node4(s33)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1440, 36, 25245])).
% 14.40/10.12 tff(25410,plain,
% 14.40/10.12 (xuntil6(s33) | (~until5(s33))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1447, 294, 25409])).
% 14.40/10.12 tff(25411,plain,
% 14.40/10.12 (xuntil6(s33)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25410, 25408])).
% 14.40/10.12 tff(25412,plain,
% 14.40/10.12 (until5(s34)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1427, 25411])).
% 14.40/10.12 tff(25413,plain,
% 14.40/10.12 (~node4(s34)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1411, 36, 25244])).
% 14.40/10.12 tff(25414,plain,
% 14.40/10.12 (xuntil6(s34) | (~until5(s34))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1418, 294, 25413])).
% 14.40/10.12 tff(25415,plain,
% 14.40/10.12 (xuntil6(s34)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25414, 25412])).
% 14.40/10.12 tff(25416,plain,
% 14.40/10.12 (until5(s35)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1398, 25415])).
% 14.40/10.12 tff(25417,plain,
% 14.40/10.12 (~node4(s35)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1382, 36, 25243])).
% 14.40/10.12 tff(25418,plain,
% 14.40/10.12 (xuntil6(s35) | (~until5(s35))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1389, 294, 25417])).
% 14.40/10.12 tff(25419,plain,
% 14.40/10.12 (xuntil6(s35)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25418, 25416])).
% 14.40/10.12 tff(25420,plain,
% 14.40/10.12 (until5(s36)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1369, 25419])).
% 14.40/10.12 tff(25421,plain,
% 14.40/10.12 (~node4(s36)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1337, 36, 25242])).
% 14.40/10.12 tff(25422,plain,
% 14.40/10.12 (xuntil6(s36) | (~until5(s36))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1361, 294, 25421])).
% 14.40/10.12 tff(25423,plain,
% 14.40/10.12 (xuntil6(s36)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25422, 25420])).
% 14.40/10.12 tff(25424,plain,
% 14.40/10.12 (until5(s37)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1354, 25423])).
% 14.40/10.12 tff(25425,plain,
% 14.40/10.12 (~node4(s37)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1341, 36, 25241])).
% 14.40/10.12 tff(25426,plain,
% 14.40/10.12 (xuntil6(s37) | (~until5(s37))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[1348, 294, 25425])).
% 14.40/10.12 tff(25427,plain,
% 14.40/10.12 (xuntil6(s37)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25426, 25424])).
% 14.40/10.12 tff(25428,plain,
% 14.40/10.12 (until5(s38)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2578, 25427])).
% 14.40/10.12 tff(25429,plain,
% 14.40/10.12 (~node4(s38)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2587, 36, 25240])).
% 14.40/10.12 tff(25430,plain,
% 14.40/10.12 (xuntil6(s38) | (~until5(s38))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2628, 294, 25429])).
% 14.40/10.12 tff(25431,plain,
% 14.40/10.12 (xuntil6(s38)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25430, 25428])).
% 14.40/10.12 tff(25432,plain,
% 14.40/10.12 (until5(s39)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2634, 25431])).
% 14.40/10.12 tff(25433,plain,
% 14.40/10.12 (~node4(s39)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2665, 36, 25239])).
% 14.40/10.12 tff(25434,plain,
% 14.40/10.12 (xuntil6(s39) | (~until5(s39))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2672, 294, 25433])).
% 14.40/10.12 tff(25435,plain,
% 14.40/10.12 (xuntil6(s39)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25434, 25432])).
% 14.40/10.12 tff(25436,plain,
% 14.40/10.12 (until5(s40)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2678, 25435])).
% 14.40/10.12 tff(25437,plain,
% 14.40/10.12 (~node4(s40)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2641, 36, 25238])).
% 14.40/10.12 tff(25438,plain,
% 14.40/10.12 (xuntil6(s40) | (~until5(s40))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2648, 294, 25437])).
% 14.40/10.12 tff(25439,plain,
% 14.40/10.12 (xuntil6(s40)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25438, 25436])).
% 14.40/10.12 tff(25440,plain,
% 14.40/10.12 (until5(s41)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2752, 25439])).
% 14.40/10.12 tff(25441,plain,
% 14.40/10.12 (~node4(s41)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2761, 36, 25237])).
% 14.40/10.12 tff(25442,plain,
% 14.40/10.12 (xuntil6(s41) | (~until5(s41))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2802, 294, 25441])).
% 14.40/10.12 tff(25443,plain,
% 14.40/10.12 (xuntil6(s41)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25442, 25440])).
% 14.40/10.12 tff(25444,plain,
% 14.40/10.12 (until5(s42)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2808, 25443])).
% 14.40/10.12 tff(25445,plain,
% 14.40/10.12 (~node4(s42)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2820, 36, 25236])).
% 14.40/10.12 tff(25446,plain,
% 14.40/10.12 (xuntil6(s42) | (~until5(s42))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2861, 294, 25445])).
% 14.40/10.12 tff(25447,plain,
% 14.40/10.12 (xuntil6(s42)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25446, 25444])).
% 14.40/10.12 tff(25448,plain,
% 14.40/10.12 (until5(s43)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2867, 25447])).
% 14.40/10.12 tff(25449,plain,
% 14.40/10.12 (~node4(s43)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2876, 36, 25235])).
% 14.40/10.12 tff(25450,plain,
% 14.40/10.12 (xuntil6(s43) | (~until5(s43))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2917, 294, 25449])).
% 14.40/10.12 tff(25451,plain,
% 14.40/10.12 (xuntil6(s43)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25450, 25448])).
% 14.40/10.12 tff(25452,plain,
% 14.40/10.12 (until5(s44)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2923, 25451])).
% 14.40/10.12 tff(25453,plain,
% 14.40/10.12 (~node4(s44)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2932, 36, 25234])).
% 14.40/10.12 tff(25454,plain,
% 14.40/10.12 (xuntil6(s44) | (~until5(s44))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2973, 294, 25453])).
% 14.40/10.12 tff(25455,plain,
% 14.40/10.12 (xuntil6(s44)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25454, 25452])).
% 14.40/10.12 tff(25456,plain,
% 14.40/10.12 (until5(s45)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2979, 25455])).
% 14.40/10.12 tff(25457,plain,
% 14.40/10.12 (~node4(s45)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[2988, 36, 25233])).
% 14.40/10.12 tff(25458,plain,
% 14.40/10.12 (xuntil6(s45) | (~until5(s45))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3029, 294, 25457])).
% 14.40/10.12 tff(25459,plain,
% 14.40/10.12 (xuntil6(s45)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25458, 25456])).
% 14.40/10.12 tff(25460,plain,
% 14.40/10.12 (until5(s46)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3035, 25459])).
% 14.40/10.12 tff(25461,plain,
% 14.40/10.12 (~node4(s46)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3198, 36, 25232])).
% 14.40/10.12 tff(25462,plain,
% 14.40/10.12 (xuntil6(s46) | (~until5(s46))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3205, 294, 25461])).
% 14.40/10.12 tff(25463,plain,
% 14.40/10.12 (xuntil6(s46)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25462, 25460])).
% 14.40/10.12 tff(25464,plain,
% 14.40/10.12 (until5(s47)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3211, 25463])).
% 14.40/10.12 tff(25465,plain,
% 14.40/10.12 (~node4(s47)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3155, 36, 25231])).
% 14.40/10.12 tff(25466,plain,
% 14.40/10.12 (xuntil6(s47) | (~until5(s47))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3162, 294, 25465])).
% 14.40/10.12 tff(25467,plain,
% 14.40/10.12 (xuntil6(s47)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25466, 25464])).
% 14.40/10.12 tff(25468,plain,
% 14.40/10.12 (until5(s48)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3142, 25467])).
% 14.40/10.12 tff(25469,plain,
% 14.40/10.12 (~node4(s48)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3126, 36, 25230])).
% 14.40/10.12 tff(25470,plain,
% 14.40/10.12 (xuntil6(s48) | (~until5(s48))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3133, 294, 25469])).
% 14.40/10.12 tff(25471,plain,
% 14.40/10.12 (xuntil6(s48)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25470, 25468])).
% 14.40/10.12 tff(25472,plain,
% 14.40/10.12 (until5(s49)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3113, 25471])).
% 14.40/10.12 tff(25473,plain,
% 14.40/10.12 (~node4(s49)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3097, 36, 25229])).
% 14.40/10.12 tff(25474,plain,
% 14.40/10.12 (xuntil6(s49) | (~until5(s49))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3104, 294, 25473])).
% 14.40/10.12 tff(25475,plain,
% 14.40/10.12 (xuntil6(s49)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25474, 25472])).
% 14.40/10.12 tff(25476,plain,
% 14.40/10.12 (until5(s50)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3084, 25475])).
% 14.40/10.12 tff(25477,plain,
% 14.40/10.12 (~node4(s50)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3052, 36, 25228])).
% 14.40/10.12 tff(25478,plain,
% 14.40/10.12 (xuntil6(s50) | (~until5(s50))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3076, 294, 25477])).
% 14.40/10.12 tff(25479,plain,
% 14.40/10.12 (xuntil6(s50)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25478, 25476])).
% 14.40/10.12 tff(25480,plain,
% 14.40/10.12 (until5(s51)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3069, 25479])).
% 14.40/10.12 tff(25481,plain,
% 14.40/10.12 (~node4(s51)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3056, 36, 25227])).
% 14.40/10.12 tff(25482,plain,
% 14.40/10.12 (xuntil6(s51) | (~until5(s51))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3063, 294, 25481])).
% 14.40/10.12 tff(25483,plain,
% 14.40/10.12 (xuntil6(s51)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25482, 25480])).
% 14.40/10.12 tff(25484,plain,
% 14.40/10.12 (until5(s52)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3453, 25483])).
% 14.40/10.12 tff(25485,plain,
% 14.40/10.12 (~node4(s52)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3462, 36, 25226])).
% 14.40/10.12 tff(25486,plain,
% 14.40/10.12 (xuntil6(s52) | (~until5(s52))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3503, 294, 25485])).
% 14.40/10.12 tff(25487,plain,
% 14.40/10.12 (xuntil6(s52)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25486, 25484])).
% 14.40/10.12 tff(25488,plain,
% 14.40/10.12 (until5(s53)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3509, 25487])).
% 14.40/10.12 tff(25489,plain,
% 14.40/10.12 (~node4(s53)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3518, 36, 25225])).
% 14.40/10.12 tff(25490,plain,
% 14.40/10.12 (xuntil6(s53) | (~until5(s53))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3603, 294, 25489])).
% 14.40/10.12 tff(25491,plain,
% 14.40/10.12 (xuntil6(s53)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25490, 25488])).
% 14.40/10.12 tff(25492,plain,
% 14.40/10.12 (until5(s54)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3609, 25491])).
% 14.40/10.12 tff(25493,plain,
% 14.40/10.12 (~node4(s54)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3618, 36, 25224])).
% 14.40/10.12 tff(25494,plain,
% 14.40/10.12 (xuntil6(s54) | (~until5(s54))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3659, 294, 25493])).
% 14.40/10.12 tff(25495,plain,
% 14.40/10.12 (xuntil6(s54)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25494, 25492])).
% 14.40/10.12 tff(25496,plain,
% 14.40/10.12 (until5(s55)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3665, 25495])).
% 14.40/10.12 tff(25497,plain,
% 14.40/10.12 (~node4(s55)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3674, 36, 25223])).
% 14.40/10.12 tff(25498,plain,
% 14.40/10.12 (xuntil6(s55) | (~until5(s55))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3715, 294, 25497])).
% 14.40/10.12 tff(25499,plain,
% 14.40/10.12 (xuntil6(s55)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25498, 25496])).
% 14.40/10.12 tff(25500,plain,
% 14.40/10.12 (until5(s56)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3721, 25499])).
% 14.40/10.12 tff(25501,plain,
% 14.40/10.12 (~node4(s56)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3835, 36, 25222])).
% 14.40/10.12 tff(25502,plain,
% 14.40/10.12 (xuntil6(s56) | (~until5(s56))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3842, 294, 25501])).
% 14.40/10.12 tff(25503,plain,
% 14.40/10.12 (xuntil6(s56)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25502, 25500])).
% 14.40/10.12 tff(25504,plain,
% 14.40/10.12 (until5(s57)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3848, 25503])).
% 14.40/10.12 tff(25505,plain,
% 14.40/10.12 (~node4(s57)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3852, 36, 25221])).
% 14.40/10.12 tff(25506,plain,
% 14.40/10.12 (xuntil6(s57) | (~until5(s57))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3859, 294, 25505])).
% 14.40/10.12 tff(25507,plain,
% 14.40/10.12 (xuntil6(s57)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25506, 25504])).
% 14.40/10.12 tff(25508,plain,
% 14.40/10.12 (until5(s58)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3865, 25507])).
% 14.40/10.12 tff(25509,plain,
% 14.40/10.12 (~node4(s58)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3874, 36, 25220])).
% 14.40/10.12 tff(25510,plain,
% 14.40/10.12 (xuntil6(s58) | (~until5(s58))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3910, 294, 25509])).
% 14.40/10.12 tff(25511,plain,
% 14.40/10.12 (xuntil6(s58)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25510, 25508])).
% 14.40/10.12 tff(25512,plain,
% 14.40/10.12 (until5(s59)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3916, 25511])).
% 14.40/10.12 tff(25513,plain,
% 14.40/10.12 (~node4(s59)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3989, 36, 25219])).
% 14.40/10.12 tff(25514,plain,
% 14.40/10.12 (xuntil6(s59) | (~until5(s59))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3997, 294, 25513])).
% 14.40/10.12 tff(25515,plain,
% 14.40/10.12 (xuntil6(s59)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25514, 25512])).
% 14.40/10.12 tff(25516,plain,
% 14.40/10.12 (until5(s60)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4003, 25515])).
% 14.40/10.12 tff(25517,plain,
% 14.40/10.12 (~node4(s60)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3973, 36, 25218])).
% 14.40/10.12 tff(25518,plain,
% 14.40/10.12 (xuntil6(s60) | (~until5(s60))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4010, 294, 25517])).
% 14.40/10.12 tff(25519,plain,
% 14.40/10.12 (xuntil6(s60)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25518, 25516])).
% 14.40/10.12 tff(25520,plain,
% 14.40/10.12 (until5(s61)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4015, 25519])).
% 14.40/10.12 tff(25521,plain,
% 14.40/10.12 (~node4(s61)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3933, 36, 25217])).
% 14.40/10.12 tff(25522,plain,
% 14.40/10.12 (xuntil6(s61) | (~until5(s61))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3957, 294, 25521])).
% 14.40/10.12 tff(25523,plain,
% 14.40/10.12 (xuntil6(s61)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25522, 25520])).
% 14.40/10.12 tff(25524,plain,
% 14.40/10.12 (until5(s62)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3950, 25523])).
% 14.40/10.12 tff(25525,plain,
% 14.40/10.12 (~node4(s62)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3937, 36, 25216])).
% 14.40/10.12 tff(25526,plain,
% 14.40/10.12 (xuntil6(s62) | (~until5(s62))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[3944, 294, 25525])).
% 14.40/10.12 tff(25527,plain,
% 14.40/10.12 (xuntil6(s62)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25526, 25524])).
% 14.40/10.12 tff(25528,plain,
% 14.40/10.12 (until5(s63)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4514, 25527])).
% 14.40/10.12 tff(25529,plain,
% 14.40/10.12 (~node4(s63)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4532, 36, 25215])).
% 14.40/10.12 tff(25530,plain,
% 14.40/10.12 (xuntil6(s63) | (~until5(s63))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4556, 294, 25529])).
% 14.40/10.12 tff(25531,plain,
% 14.40/10.12 (xuntil6(s63)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25530, 25528])).
% 14.40/10.12 tff(25532,plain,
% 14.40/10.12 (until5(s64)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4549, 25531])).
% 14.40/10.12 tff(25533,plain,
% 14.40/10.12 (~node4(s64)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4536, 36, 25214])).
% 14.40/10.12 tff(25534,plain,
% 14.40/10.12 (xuntil6(s64) | (~until5(s64))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4543, 294, 25533])).
% 14.40/10.12 tff(25535,plain,
% 14.40/10.12 (xuntil6(s64)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25534, 25532])).
% 14.40/10.12 tff(25536,plain,
% 14.40/10.12 (until5(s65)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4786, 25535])).
% 14.40/10.12 tff(25537,plain,
% 14.40/10.12 (~node4(s65)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[39, 36, 25213])).
% 14.40/10.12 tff(25538,plain,
% 14.40/10.12 (xuntil6(s65) | (~until5(s65))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4793, 294, 25537])).
% 14.40/10.12 tff(25539,plain,
% 14.40/10.12 (xuntil6(s65)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25538, 25536])).
% 14.40/10.12 tff(25540,plain,
% 14.40/10.12 (until5(s66)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4799, 25539])).
% 14.40/10.12 tff(25541,plain,
% 14.40/10.12 (~node4(s66)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4805, 36, 25212])).
% 14.40/10.12 tff(25542,plain,
% 14.40/10.12 (xuntil6(s66) | (~until5(s66))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4812, 294, 25541])).
% 14.40/10.12 tff(25543,plain,
% 14.40/10.12 (xuntil6(s66)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25542, 25540])).
% 14.40/10.12 tff(25544,plain,
% 14.40/10.12 (until5(s67)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4878, 25543])).
% 14.40/10.12 tff(25545,plain,
% 14.40/10.12 (~node4(s67)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4887, 36, 25211])).
% 14.40/10.12 tff(25546,plain,
% 14.40/10.12 (xuntil6(s67) | (~until5(s67))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4928, 294, 25545])).
% 14.40/10.12 tff(25547,plain,
% 14.40/10.12 (xuntil6(s67)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25546, 25544])).
% 14.40/10.12 tff(25548,plain,
% 14.40/10.12 (until5(s68)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4934, 25547])).
% 14.40/10.12 tff(25549,plain,
% 14.40/10.12 (~node4(s68)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4943, 36, 25210])).
% 14.40/10.12 tff(25550,plain,
% 14.40/10.12 (xuntil6(s68) | (~until5(s68))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4984, 294, 25549])).
% 14.40/10.12 tff(25551,plain,
% 14.40/10.12 (xuntil6(s68)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25550, 25548])).
% 14.40/10.12 tff(25552,plain,
% 14.40/10.12 (until5(s69)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4990, 25551])).
% 14.40/10.12 tff(25553,plain,
% 14.40/10.12 (~node4(s69)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[4999, 36, 25209])).
% 14.40/10.12 tff(25554,plain,
% 14.40/10.12 (xuntil6(s69) | (~until5(s69))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5040, 294, 25553])).
% 14.40/10.12 tff(25555,plain,
% 14.40/10.12 (xuntil6(s69)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25554, 25552])).
% 14.40/10.12 tff(25556,plain,
% 14.40/10.12 (until5(s70)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5046, 25555])).
% 14.40/10.12 tff(25557,plain,
% 14.40/10.12 (~node4(s70)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5055, 36, 25208])).
% 14.40/10.12 tff(25558,plain,
% 14.40/10.12 (xuntil6(s70) | (~until5(s70))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5096, 294, 25557])).
% 14.40/10.12 tff(25559,plain,
% 14.40/10.12 (xuntil6(s70)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25558, 25556])).
% 14.40/10.12 tff(25560,plain,
% 14.40/10.12 (until5(s71)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5102, 25559])).
% 14.40/10.12 tff(25561,plain,
% 14.40/10.12 (~node4(s71)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5111, 36, 25207])).
% 14.40/10.12 tff(25562,plain,
% 14.40/10.12 (xuntil6(s71) | (~until5(s71))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5152, 294, 25561])).
% 14.40/10.12 tff(25563,plain,
% 14.40/10.12 (xuntil6(s71)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25562, 25560])).
% 14.40/10.12 tff(25564,plain,
% 14.40/10.12 (until5(s72)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5158, 25563])).
% 14.40/10.12 tff(25565,plain,
% 14.40/10.12 (~node4(s72)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5167, 36, 25206])).
% 14.40/10.12 tff(25566,plain,
% 14.40/10.12 (xuntil6(s72) | (~until5(s72))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5208, 294, 25565])).
% 14.40/10.12 tff(25567,plain,
% 14.40/10.12 (xuntil6(s72)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25566, 25564])).
% 14.40/10.12 tff(25568,plain,
% 14.40/10.12 (until5(s73)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5214, 25567])).
% 14.40/10.12 tff(25569,plain,
% 14.40/10.12 (~node4(s73)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5223, 36, 25205])).
% 14.40/10.12 tff(25570,plain,
% 14.40/10.12 (xuntil6(s73) | (~until5(s73))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5264, 294, 25569])).
% 14.40/10.12 tff(25571,plain,
% 14.40/10.12 (xuntil6(s73)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25570, 25568])).
% 14.40/10.12 tff(25572,plain,
% 14.40/10.12 (until5(s74)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5270, 25571])).
% 14.40/10.12 tff(25573,plain,
% 14.40/10.12 (~node4(s74)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5279, 36, 25204])).
% 14.40/10.12 tff(25574,plain,
% 14.40/10.12 (xuntil6(s74) | (~until5(s74))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5320, 294, 25573])).
% 14.40/10.12 tff(25575,plain,
% 14.40/10.12 (xuntil6(s74)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25574, 25572])).
% 14.40/10.12 tff(25576,plain,
% 14.40/10.12 (until5(s75)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5326, 25575])).
% 14.40/10.12 tff(25577,plain,
% 14.40/10.12 (~node4(s75)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5335, 36, 25203])).
% 14.40/10.12 tff(25578,plain,
% 14.40/10.12 (xuntil6(s75) | (~until5(s75))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5376, 294, 25577])).
% 14.40/10.12 tff(25579,plain,
% 14.40/10.12 (xuntil6(s75)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25578, 25576])).
% 14.40/10.12 tff(25580,plain,
% 14.40/10.12 (until5(s76)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5382, 25579])).
% 14.40/10.12 tff(25581,plain,
% 14.40/10.12 (~node4(s76)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5391, 36, 25202])).
% 14.40/10.12 tff(25582,plain,
% 14.40/10.12 (xuntil6(s76) | (~until5(s76))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5432, 294, 25581])).
% 14.40/10.12 tff(25583,plain,
% 14.40/10.12 (xuntil6(s76)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25582, 25580])).
% 14.40/10.12 tff(25584,plain,
% 14.40/10.12 (until5(s77)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5438, 25583])).
% 14.40/10.12 tff(25585,plain,
% 14.40/10.12 (~node4(s77)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5447, 36, 25201])).
% 14.40/10.12 tff(25586,plain,
% 14.40/10.12 (xuntil6(s77) | (~until5(s77))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5488, 294, 25585])).
% 14.40/10.12 tff(25587,plain,
% 14.40/10.12 (xuntil6(s77)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25586, 25584])).
% 14.40/10.12 tff(25588,plain,
% 14.40/10.12 (until5(s78)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5494, 25587])).
% 14.40/10.12 tff(25589,plain,
% 14.40/10.12 (~node4(s78)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5503, 36, 25200])).
% 14.40/10.12 tff(25590,plain,
% 14.40/10.12 (xuntil6(s78) | (~until5(s78))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5544, 294, 25589])).
% 14.40/10.12 tff(25591,plain,
% 14.40/10.12 (xuntil6(s78)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25590, 25588])).
% 14.40/10.12 tff(25592,plain,
% 14.40/10.12 (until5(s79)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5550, 25591])).
% 14.40/10.12 tff(25593,plain,
% 14.40/10.12 (~node4(s79)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5559, 36, 25199])).
% 14.40/10.12 tff(25594,plain,
% 14.40/10.12 (xuntil6(s79) | (~until5(s79))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5600, 294, 25593])).
% 14.40/10.12 tff(25595,plain,
% 14.40/10.12 (xuntil6(s79)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25594, 25592])).
% 14.40/10.12 tff(25596,plain,
% 14.40/10.12 (until5(s80)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5606, 25595])).
% 14.40/10.12 tff(25597,plain,
% 14.40/10.12 (~node4(s80)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5615, 36, 25198])).
% 14.40/10.12 tff(25598,plain,
% 14.40/10.12 (xuntil6(s80) | (~until5(s80))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5656, 294, 25597])).
% 14.40/10.12 tff(25599,plain,
% 14.40/10.12 (xuntil6(s80)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25598, 25596])).
% 14.40/10.12 tff(25600,plain,
% 14.40/10.12 (until5(s81)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5662, 25599])).
% 14.40/10.12 tff(25601,plain,
% 14.40/10.12 (~node4(s81)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6223, 36, 25197])).
% 14.40/10.12 tff(25602,plain,
% 14.40/10.12 (xuntil6(s81) | (~until5(s81))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6230, 294, 25601])).
% 14.40/10.12 tff(25603,plain,
% 14.40/10.12 (xuntil6(s81)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25602, 25600])).
% 14.40/10.12 tff(25604,plain,
% 14.40/10.12 (until5(s82)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6210, 25603])).
% 14.40/10.12 tff(25605,plain,
% 14.40/10.12 (~node4(s82)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5800, 36, 25196])).
% 14.40/10.12 tff(25606,plain,
% 14.40/10.12 (xuntil6(s82) | (~until5(s82))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6202, 294, 25605])).
% 14.40/10.12 tff(25607,plain,
% 14.40/10.12 (xuntil6(s82)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25606, 25604])).
% 14.40/10.12 tff(25608,plain,
% 14.40/10.12 (until5(s83)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6195, 25607])).
% 14.40/10.12 tff(25609,plain,
% 14.40/10.12 (~node4(s83)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6159, 36, 25195])).
% 14.40/10.12 tff(25610,plain,
% 14.40/10.12 (xuntil6(s83) | (~until5(s83))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6189, 294, 25609])).
% 14.40/10.12 tff(25611,plain,
% 14.40/10.12 (xuntil6(s83)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25610, 25608])).
% 14.40/10.12 tff(25612,plain,
% 14.40/10.12 (until5(s84)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6150, 25611])).
% 14.40/10.12 tff(25613,plain,
% 14.40/10.12 (~node4(s84)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6114, 36, 25194])).
% 14.40/10.12 tff(25614,plain,
% 14.40/10.12 (xuntil6(s84) | (~until5(s84))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6144, 294, 25613])).
% 14.40/10.12 tff(25615,plain,
% 14.40/10.12 (xuntil6(s84)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25614, 25612])).
% 14.40/10.12 tff(25616,plain,
% 14.40/10.12 (until5(s85)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6105, 25615])).
% 14.40/10.12 tff(25617,plain,
% 14.40/10.12 (~node4(s85)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6069, 36, 25193])).
% 14.40/10.12 tff(25618,plain,
% 14.40/10.12 (xuntil6(s85) | (~until5(s85))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6099, 294, 25617])).
% 14.40/10.12 tff(25619,plain,
% 14.40/10.12 (xuntil6(s85)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25618, 25616])).
% 14.40/10.12 tff(25620,plain,
% 14.40/10.12 (until5(s86)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6060, 25619])).
% 14.40/10.12 tff(25621,plain,
% 14.40/10.12 (~node4(s86)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5984, 36, 25192])).
% 14.40/10.12 tff(25622,plain,
% 14.40/10.12 (xuntil6(s86) | (~until5(s86))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5991, 294, 25621])).
% 14.40/10.12 tff(25623,plain,
% 14.40/10.12 (xuntil6(s86)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25622, 25620])).
% 14.40/10.12 tff(25624,plain,
% 14.40/10.12 (until5(s87)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5997, 25623])).
% 14.40/10.12 tff(25625,plain,
% 14.40/10.12 (~node4(s87)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5971, 36, 25191])).
% 14.40/10.12 tff(25626,plain,
% 14.40/10.12 (xuntil6(s87) | (~until5(s87))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5978, 294, 25625])).
% 14.40/10.12 tff(25627,plain,
% 14.40/10.12 (xuntil6(s87)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25626, 25624])).
% 14.40/10.12 tff(25628,plain,
% 14.40/10.12 (until5(s88)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5964, 25627])).
% 14.40/10.12 tff(25629,plain,
% 14.40/10.12 (~node4(s88)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5928, 36, 25190])).
% 14.40/10.12 tff(25630,plain,
% 14.40/10.12 (xuntil6(s88) | (~until5(s88))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5958, 294, 25629])).
% 14.40/10.12 tff(25631,plain,
% 14.40/10.12 (xuntil6(s88)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25630, 25628])).
% 14.40/10.12 tff(25632,plain,
% 14.40/10.12 (until5(s89)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5919, 25631])).
% 14.40/10.12 tff(25633,plain,
% 14.40/10.12 (~node4(s89)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5837, 36, 25189])).
% 14.40/10.12 tff(25634,plain,
% 14.40/10.12 (xuntil6(s89) | (~until5(s89))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5844, 294, 25633])).
% 14.40/10.12 tff(25635,plain,
% 14.40/10.12 (xuntil6(s89)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25634, 25632])).
% 14.40/10.12 tff(25636,plain,
% 14.40/10.12 (until5(s90)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5850, 25635])).
% 14.40/10.12 tff(25637,plain,
% 14.40/10.12 (~node4(s90)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5824, 36, 25188])).
% 14.40/10.12 tff(25638,plain,
% 14.40/10.12 (xuntil6(s90) | (~until5(s90))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5831, 294, 25637])).
% 14.40/10.12 tff(25639,plain,
% 14.40/10.12 (xuntil6(s90)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25638, 25636])).
% 14.40/10.12 tff(25640,plain,
% 14.40/10.12 (until5(s91)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5817, 25639])).
% 14.40/10.12 tff(25641,plain,
% 14.40/10.12 (~node4(s91)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5804, 36, 25187])).
% 14.40/10.12 tff(25642,plain,
% 14.40/10.12 (xuntil6(s91) | (~until5(s91))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[5811, 294, 25641])).
% 14.40/10.12 tff(25643,plain,
% 14.40/10.12 (xuntil6(s91)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25642, 25640])).
% 14.40/10.12 tff(25644,plain,
% 14.40/10.12 (until5(s92)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6495, 25643])).
% 14.40/10.12 tff(25645,plain,
% 14.40/10.12 (~node4(s92)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6504, 36, 25186])).
% 14.40/10.12 tff(25646,plain,
% 14.40/10.12 (xuntil6(s92) | (~until5(s92))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6545, 294, 25645])).
% 14.40/10.12 tff(25647,plain,
% 14.40/10.12 (xuntil6(s92)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25646, 25644])).
% 14.40/10.12 tff(25648,plain,
% 14.40/10.12 (until5(s93)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6551, 25647])).
% 14.40/10.12 tff(25649,plain,
% 14.40/10.12 (~node4(s93)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6560, 36, 25185])).
% 14.40/10.12 tff(25650,plain,
% 14.40/10.12 (xuntil6(s93) | (~until5(s93))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6601, 294, 25649])).
% 14.40/10.12 tff(25651,plain,
% 14.40/10.12 (xuntil6(s93)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25650, 25648])).
% 14.40/10.12 tff(25652,plain,
% 14.40/10.12 (until5(s94)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6607, 25651])).
% 14.40/10.12 tff(25653,plain,
% 14.40/10.12 (~node4(s94)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6918, 36, 25184])).
% 14.40/10.12 tff(25654,plain,
% 14.40/10.12 (xuntil6(s94) | (~until5(s94))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6925, 294, 25653])).
% 14.40/10.12 tff(25655,plain,
% 14.40/10.12 (xuntil6(s94)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25654, 25652])).
% 14.40/10.12 tff(25656,plain,
% 14.40/10.12 (until5(s95)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6931, 25655])).
% 14.40/10.12 tff(25657,plain,
% 14.40/10.12 (~node4(s95)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6935, 36, 25183])).
% 14.40/10.12 tff(25658,plain,
% 14.40/10.12 (xuntil6(s95) | (~until5(s95))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6942, 294, 25657])).
% 14.40/10.12 tff(25659,plain,
% 14.40/10.12 (xuntil6(s95)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25658, 25656])).
% 14.40/10.12 tff(25660,plain,
% 14.40/10.12 (until5(s96)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6951, 25659])).
% 14.40/10.12 tff(25661,plain,
% 14.40/10.12 (~node4(s96)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6982, 36, 25182])).
% 14.40/10.12 tff(25662,plain,
% 14.40/10.12 (xuntil6(s96) | (~until5(s96))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6989, 294, 25661])).
% 14.40/10.12 tff(25663,plain,
% 14.40/10.12 (xuntil6(s96)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25662, 25660])).
% 14.40/10.12 tff(25664,plain,
% 14.40/10.12 (until5(s97)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6995, 25663])).
% 14.40/10.12 tff(25665,plain,
% 14.40/10.12 (~node4(s97)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6958, 36, 25181])).
% 14.40/10.12 tff(25666,plain,
% 14.40/10.12 (xuntil6(s97) | (~until5(s97))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[6965, 294, 25665])).
% 14.40/10.12 tff(25667,plain,
% 14.40/10.12 (xuntil6(s97)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25666, 25664])).
% 14.40/10.12 tff(25668,plain,
% 14.40/10.12 (until5(s98)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7075, 25667])).
% 14.40/10.12 tff(25669,plain,
% 14.40/10.12 (~node4(s98)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7224, 36, 25180])).
% 14.40/10.12 tff(25670,plain,
% 14.40/10.12 (xuntil6(s98) | (~until5(s98))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7231, 294, 25669])).
% 14.40/10.12 tff(25671,plain,
% 14.40/10.12 (xuntil6(s98)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25670, 25668])).
% 14.40/10.12 tff(25672,plain,
% 14.40/10.12 (until5(s99)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7211, 25671])).
% 14.40/10.12 tff(25673,plain,
% 14.40/10.12 (~node4(s99)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7195, 36, 25179])).
% 14.40/10.12 tff(25674,plain,
% 14.40/10.12 (xuntil6(s99) | (~until5(s99))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7202, 294, 25673])).
% 14.40/10.12 tff(25675,plain,
% 14.40/10.12 (xuntil6(s99)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25674, 25672])).
% 14.40/10.12 tff(25676,plain,
% 14.40/10.12 (until5(s100)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7182, 25675])).
% 14.40/10.12 tff(25677,plain,
% 14.40/10.12 (~node4(s100)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7166, 36, 25178])).
% 14.40/10.12 tff(25678,plain,
% 14.40/10.12 (xuntil6(s100) | (~until5(s100))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7173, 294, 25677])).
% 14.40/10.12 tff(25679,plain,
% 14.40/10.12 (xuntil6(s100)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25678, 25676])).
% 14.40/10.12 tff(25680,plain,
% 14.40/10.12 (until5(s101)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7153, 25679])).
% 14.40/10.12 tff(25681,plain,
% 14.40/10.12 (~node4(s101)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7137, 36, 25177])).
% 14.40/10.12 tff(25682,plain,
% 14.40/10.12 (xuntil6(s101) | (~until5(s101))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7144, 294, 25681])).
% 14.40/10.12 tff(25683,plain,
% 14.40/10.12 (xuntil6(s101)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25682, 25680])).
% 14.40/10.12 tff(25684,plain,
% 14.40/10.12 (until5(s102)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7124, 25683])).
% 14.40/10.12 tff(25685,plain,
% 14.40/10.12 (~node4(s102)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7092, 36, 25176])).
% 14.40/10.12 tff(25686,plain,
% 14.40/10.12 (xuntil6(s102) | (~until5(s102))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7116, 294, 25685])).
% 14.40/10.12 tff(25687,plain,
% 14.40/10.12 (xuntil6(s102)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25686, 25684])).
% 14.40/10.12 tff(25688,plain,
% 14.40/10.12 (until5(s103)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7109, 25687])).
% 14.40/10.12 tff(25689,plain,
% 14.40/10.12 (~node4(s103)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7096, 36, 25175])).
% 14.40/10.12 tff(25690,plain,
% 14.40/10.12 (xuntil6(s103) | (~until5(s103))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7103, 294, 25689])).
% 14.40/10.12 tff(25691,plain,
% 14.40/10.12 (xuntil6(s103)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25690, 25688])).
% 14.40/10.12 tff(25692,plain,
% 14.40/10.12 (until5(s104)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7740, 25691])).
% 14.40/10.12 tff(25693,plain,
% 14.40/10.12 (~node4(s104)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7787, 36, 25174])).
% 14.40/10.12 tff(25694,plain,
% 14.40/10.12 (xuntil6(s104) | (~until5(s104))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[7794, 294, 25693])).
% 14.40/10.12 tff(25695,plain,
% 14.40/10.12 (xuntil6(s104)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25694, 25692])).
% 14.40/10.12 tff(25696,plain,
% 14.40/10.12 (until5(s105)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8004, 25695])).
% 14.40/10.12 tff(25697,plain,
% 14.40/10.12 (~node4(s105)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8096, 36, 25173])).
% 14.40/10.12 tff(25698,plain,
% 14.40/10.12 (xuntil6(s105) | (~until5(s105))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8103, 294, 25697])).
% 14.40/10.12 tff(25699,plain,
% 14.40/10.12 (xuntil6(s105)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25698, 25696])).
% 14.40/10.12 tff(25700,plain,
% 14.40/10.12 (until5(s106)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8109, 25699])).
% 14.40/10.12 tff(25701,plain,
% 14.40/10.12 (~node4(s106)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8080, 36, 25172])).
% 14.40/10.12 tff(25702,plain,
% 14.40/10.12 (xuntil6(s106) | (~until5(s106))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8116, 294, 25701])).
% 14.40/10.12 tff(25703,plain,
% 14.40/10.12 (xuntil6(s106)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25702, 25700])).
% 14.40/10.12 tff(25704,plain,
% 14.40/10.12 (until5(s107)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8121, 25703])).
% 14.40/10.12 tff(25705,plain,
% 14.40/10.12 (~node4(s107)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8125, 36, 25171])).
% 14.40/10.12 tff(25706,plain,
% 14.40/10.12 (xuntil6(s107) | (~until5(s107))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8132, 294, 25705])).
% 14.40/10.12 tff(25707,plain,
% 14.40/10.12 (xuntil6(s107)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25706, 25704])).
% 14.40/10.12 tff(25708,plain,
% 14.40/10.12 (until5(s108)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8055, 25707])).
% 14.40/10.12 tff(25709,plain,
% 14.40/10.12 (~node4(s108)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8023, 36, 25170])).
% 14.40/10.12 tff(25710,plain,
% 14.40/10.12 (xuntil6(s108) | (~until5(s108))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8047, 294, 25709])).
% 14.40/10.12 tff(25711,plain,
% 14.40/10.12 (xuntil6(s108)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25710, 25708])).
% 14.40/10.12 tff(25712,plain,
% 14.40/10.12 (until5(s109)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8040, 25711])).
% 14.40/10.12 tff(25713,plain,
% 14.40/10.12 (~node4(s109)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8027, 36, 25169])).
% 14.40/10.12 tff(25714,plain,
% 14.40/10.12 (xuntil6(s109) | (~until5(s109))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8034, 294, 25713])).
% 14.40/10.12 tff(25715,plain,
% 14.40/10.12 (xuntil6(s109)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25714, 25712])).
% 14.40/10.12 tff(25716,plain,
% 14.40/10.12 (until5(s110)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8321, 25715])).
% 14.40/10.12 tff(25717,plain,
% 14.40/10.12 (~node4(s110)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8330, 36, 25168])).
% 14.40/10.12 tff(25718,plain,
% 14.40/10.12 (xuntil6(s110) | (~until5(s110))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8371, 294, 25717])).
% 14.40/10.12 tff(25719,plain,
% 14.40/10.12 (xuntil6(s110)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25718, 25716])).
% 14.40/10.12 tff(25720,plain,
% 14.40/10.12 (until5(s111)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8377, 25719])).
% 14.40/10.12 tff(25721,plain,
% 14.40/10.12 (~node4(s111)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8392, 36, 25167])).
% 14.40/10.12 tff(25722,plain,
% 14.40/10.12 (xuntil6(s111) | (~until5(s111))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8399, 294, 25721])).
% 14.40/10.12 tff(25723,plain,
% 14.40/10.12 (xuntil6(s111)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25722, 25720])).
% 14.40/10.12 tff(25724,plain,
% 14.40/10.12 (until5(s112)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8674, 25723])).
% 14.40/10.12 tff(25725,plain,
% 14.40/10.12 (~node4(s112)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8705, 36, 25166])).
% 14.40/10.12 tff(25726,plain,
% 14.40/10.12 (xuntil6(s112) | (~until5(s112))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8712, 294, 25725])).
% 14.40/10.12 tff(25727,plain,
% 14.40/10.12 (xuntil6(s112)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25726, 25724])).
% 14.40/10.12 tff(25728,plain,
% 14.40/10.12 (until5(s113)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8718, 25727])).
% 14.40/10.12 tff(25729,plain,
% 14.40/10.12 (~node4(s113)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8681, 36, 25165])).
% 14.40/10.12 tff(25730,plain,
% 14.40/10.12 (xuntil6(s113) | (~until5(s113))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8688, 294, 25729])).
% 14.40/10.12 tff(25731,plain,
% 14.40/10.12 (xuntil6(s113)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25730, 25728])).
% 14.40/10.12 tff(25732,plain,
% 14.40/10.12 (until5(s114)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8792, 25731])).
% 14.40/10.12 tff(25733,plain,
% 14.40/10.12 (~node4(s114)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8810, 36, 25164])).
% 14.40/10.12 tff(25734,plain,
% 14.40/10.12 (xuntil6(s114) | (~until5(s114))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8834, 294, 25733])).
% 14.40/10.12 tff(25735,plain,
% 14.40/10.12 (xuntil6(s114)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25734, 25732])).
% 14.40/10.12 tff(25736,plain,
% 14.40/10.12 (until5(s115)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8827, 25735])).
% 14.40/10.12 tff(25737,plain,
% 14.40/10.12 (~node4(s115)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8814, 36, 25163])).
% 14.40/10.12 tff(25738,plain,
% 14.40/10.12 (xuntil6(s115) | (~until5(s115))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[8821, 294, 25737])).
% 14.40/10.12 tff(25739,plain,
% 14.40/10.12 (xuntil6(s115)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25738, 25736])).
% 14.40/10.12 tff(25740,plain,
% 14.40/10.12 (until5(s116)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9170, 25739])).
% 14.40/10.12 tff(25741,plain,
% 14.40/10.12 (~node4(s116)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9972, 36, 25162])).
% 14.40/10.12 tff(25742,plain,
% 14.40/10.12 (xuntil6(s116) | (~until5(s116))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9979, 294, 25741])).
% 14.40/10.12 tff(25743,plain,
% 14.40/10.12 (xuntil6(s116)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25742, 25740])).
% 14.40/10.12 tff(25744,plain,
% 14.40/10.12 (until5(s117)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9985, 25743])).
% 14.40/10.12 tff(25745,plain,
% 14.40/10.12 (~node4(s117)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9956, 36, 25161])).
% 14.40/10.12 tff(25746,plain,
% 14.40/10.12 (xuntil6(s117) | (~until5(s117))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9992, 294, 25745])).
% 14.40/10.12 tff(25747,plain,
% 14.40/10.12 (xuntil6(s117)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25746, 25744])).
% 14.40/10.12 tff(25748,plain,
% 14.40/10.12 (until5(s118)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9997, 25747])).
% 14.40/10.12 tff(25749,plain,
% 14.40/10.12 (~node4(s118)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10001, 36, 25160])).
% 14.40/10.12 tff(25750,plain,
% 14.40/10.12 (xuntil6(s118) | (~until5(s118))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10008, 294, 25749])).
% 14.40/10.12 tff(25751,plain,
% 14.40/10.12 (xuntil6(s118)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25750, 25748])).
% 14.40/10.12 tff(25752,plain,
% 14.40/10.12 (until5(s119)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10014, 25751])).
% 14.40/10.12 tff(25753,plain,
% 14.40/10.12 (~node4(s119)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10018, 36, 25159])).
% 14.40/10.12 tff(25754,plain,
% 14.40/10.12 (xuntil6(s119) | (~until5(s119))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10025, 294, 25753])).
% 14.40/10.12 tff(25755,plain,
% 14.40/10.12 (xuntil6(s119)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25754, 25752])).
% 14.40/10.12 tff(25756,plain,
% 14.40/10.12 (until5(s120)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10031, 25755])).
% 14.40/10.12 tff(25757,plain,
% 14.40/10.12 (~node4(s120)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10035, 36, 25158])).
% 14.40/10.12 tff(25758,plain,
% 14.40/10.12 (xuntil6(s120) | (~until5(s120))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10042, 294, 25757])).
% 14.40/10.12 tff(25759,plain,
% 14.40/10.12 (xuntil6(s120)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25758, 25756])).
% 14.40/10.12 tff(25760,plain,
% 14.40/10.12 (until5(s121)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10048, 25759])).
% 14.40/10.12 tff(25761,plain,
% 14.40/10.12 (~node4(s121)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10052, 36, 25157])).
% 14.40/10.12 tff(25762,plain,
% 14.40/10.12 (xuntil6(s121) | (~until5(s121))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10059, 294, 25761])).
% 14.40/10.12 tff(25763,plain,
% 14.40/10.12 (xuntil6(s121)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25762, 25760])).
% 14.40/10.12 tff(25764,plain,
% 14.40/10.12 (until5(s122)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10065, 25763])).
% 14.40/10.12 tff(25765,plain,
% 14.40/10.12 (~node4(s122)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10069, 36, 25156])).
% 14.40/10.12 tff(25766,plain,
% 14.40/10.12 (xuntil6(s122) | (~until5(s122))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10076, 294, 25765])).
% 14.40/10.12 tff(25767,plain,
% 14.40/10.12 (xuntil6(s122)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25766, 25764])).
% 14.40/10.12 tff(25768,plain,
% 14.40/10.12 (until5(s123)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10082, 25767])).
% 14.40/10.12 tff(25769,plain,
% 14.40/10.12 (~node4(s123)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10086, 36, 25155])).
% 14.40/10.12 tff(25770,plain,
% 14.40/10.12 (xuntil6(s123) | (~until5(s123))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10093, 294, 25769])).
% 14.40/10.12 tff(25771,plain,
% 14.40/10.12 (xuntil6(s123)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25770, 25768])).
% 14.40/10.12 tff(25772,plain,
% 14.40/10.12 (until5(s124)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10099, 25771])).
% 14.40/10.12 tff(25773,plain,
% 14.40/10.12 (~node4(s124)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10103, 36, 25154])).
% 14.40/10.12 tff(25774,plain,
% 14.40/10.12 (xuntil6(s124) | (~until5(s124))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10110, 294, 25773])).
% 14.40/10.12 tff(25775,plain,
% 14.40/10.12 (xuntil6(s124)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25774, 25772])).
% 14.40/10.12 tff(25776,plain,
% 14.40/10.12 (until5(s125)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10116, 25775])).
% 14.40/10.12 tff(25777,plain,
% 14.40/10.12 (~node4(s125)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10120, 36, 25153])).
% 14.40/10.12 tff(25778,plain,
% 14.40/10.12 (xuntil6(s125) | (~until5(s125))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10127, 294, 25777])).
% 14.40/10.12 tff(25779,plain,
% 14.40/10.12 (xuntil6(s125)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25778, 25776])).
% 14.40/10.12 tff(25780,plain,
% 14.40/10.12 (until5(s126)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10133, 25779])).
% 14.40/10.12 tff(25781,plain,
% 14.40/10.12 (~node4(s126)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10137, 36, 25152])).
% 14.40/10.12 tff(25782,plain,
% 14.40/10.12 (xuntil6(s126) | (~until5(s126))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10144, 294, 25781])).
% 14.40/10.12 tff(25783,plain,
% 14.40/10.12 (xuntil6(s126)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25782, 25780])).
% 14.40/10.12 tff(25784,plain,
% 14.40/10.12 (until5(s127)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10150, 25783])).
% 14.40/10.12 tff(25785,plain,
% 14.40/10.12 (~node4(s127)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10154, 36, 25151])).
% 14.40/10.12 tff(25786,plain,
% 14.40/10.12 (xuntil6(s127) | (~until5(s127))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10161, 294, 25785])).
% 14.40/10.12 tff(25787,plain,
% 14.40/10.12 (xuntil6(s127)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25786, 25784])).
% 14.40/10.12 tff(25788,plain,
% 14.40/10.12 (until5(s128)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10167, 25787])).
% 14.40/10.12 tff(25789,plain,
% 14.40/10.12 (~node4(s128)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10171, 36, 25150])).
% 14.40/10.12 tff(25790,plain,
% 14.40/10.12 (xuntil6(s128) | (~until5(s128))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10178, 294, 25789])).
% 14.40/10.12 tff(25791,plain,
% 14.40/10.12 (xuntil6(s128)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25790, 25788])).
% 14.40/10.12 tff(25792,plain,
% 14.40/10.12 (until5(s129)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10184, 25791])).
% 14.40/10.12 tff(25793,plain,
% 14.40/10.12 (~node4(s129)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10188, 36, 25149])).
% 14.40/10.12 tff(25794,plain,
% 14.40/10.12 (xuntil6(s129) | (~until5(s129))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10195, 294, 25793])).
% 14.40/10.12 tff(25795,plain,
% 14.40/10.12 (xuntil6(s129)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25794, 25792])).
% 14.40/10.12 tff(25796,plain,
% 14.40/10.12 (until5(s130)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10201, 25795])).
% 14.40/10.12 tff(25797,plain,
% 14.40/10.12 (~node4(s130)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10205, 36, 25148])).
% 14.40/10.12 tff(25798,plain,
% 14.40/10.12 (xuntil6(s130) | (~until5(s130))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10212, 294, 25797])).
% 14.40/10.12 tff(25799,plain,
% 14.40/10.12 (xuntil6(s130)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25798, 25796])).
% 14.40/10.12 tff(25800,plain,
% 14.40/10.12 (until5(s131)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10218, 25799])).
% 14.40/10.12 tff(25801,plain,
% 14.40/10.12 (~node4(s131)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10222, 36, 25147])).
% 14.40/10.12 tff(25802,plain,
% 14.40/10.12 (xuntil6(s131) | (~until5(s131))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10229, 294, 25801])).
% 14.40/10.12 tff(25803,plain,
% 14.40/10.12 (xuntil6(s131)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25802, 25800])).
% 14.40/10.12 tff(25804,plain,
% 14.40/10.12 (until5(s132)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10235, 25803])).
% 14.40/10.12 tff(25805,plain,
% 14.40/10.12 (~node4(s132)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10239, 36, 25146])).
% 14.40/10.12 tff(25806,plain,
% 14.40/10.12 (xuntil6(s132) | (~until5(s132))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10246, 294, 25805])).
% 14.40/10.12 tff(25807,plain,
% 14.40/10.12 (xuntil6(s132)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25806, 25804])).
% 14.40/10.12 tff(25808,plain,
% 14.40/10.12 (until5(s133)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10252, 25807])).
% 14.40/10.12 tff(25809,plain,
% 14.40/10.12 (~node4(s133)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10256, 36, 25145])).
% 14.40/10.12 tff(25810,plain,
% 14.40/10.12 (xuntil6(s133) | (~until5(s133))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[10263, 294, 25809])).
% 14.40/10.12 tff(25811,plain,
% 14.40/10.12 (xuntil6(s133)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25810, 25808])).
% 14.40/10.12 tff(25812,plain,
% 14.40/10.12 (until5(s134)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9751, 25811])).
% 14.40/10.12 tff(25813,plain,
% 14.40/10.12 (~node4(s134)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9735, 36, 25144])).
% 14.40/10.12 tff(25814,plain,
% 14.40/10.12 (xuntil6(s134) | (~until5(s134))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9742, 294, 25813])).
% 14.40/10.12 tff(25815,plain,
% 14.40/10.12 (xuntil6(s134)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25814, 25812])).
% 14.40/10.12 tff(25816,plain,
% 14.40/10.12 (until5(s135)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9722, 25815])).
% 14.40/10.12 tff(25817,plain,
% 14.40/10.12 (~node4(s135)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9706, 36, 25143])).
% 14.40/10.12 tff(25818,plain,
% 14.40/10.12 (xuntil6(s135) | (~until5(s135))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9713, 294, 25817])).
% 14.40/10.12 tff(25819,plain,
% 14.40/10.12 (xuntil6(s135)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25818, 25816])).
% 14.40/10.12 tff(25820,plain,
% 14.40/10.12 (until5(s136)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9693, 25819])).
% 14.40/10.12 tff(25821,plain,
% 14.40/10.12 (~node4(s136)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9677, 36, 25142])).
% 14.40/10.12 tff(25822,plain,
% 14.40/10.12 (xuntil6(s136) | (~until5(s136))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9684, 294, 25821])).
% 14.40/10.12 tff(25823,plain,
% 14.40/10.12 (xuntil6(s136)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25822, 25820])).
% 14.40/10.12 tff(25824,plain,
% 14.40/10.12 (until5(s137)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9664, 25823])).
% 14.40/10.12 tff(25825,plain,
% 14.40/10.12 (~node4(s137)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9648, 36, 25141])).
% 14.40/10.12 tff(25826,plain,
% 14.40/10.12 (xuntil6(s137) | (~until5(s137))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9655, 294, 25825])).
% 14.40/10.12 tff(25827,plain,
% 14.40/10.12 (xuntil6(s137)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25826, 25824])).
% 14.40/10.12 tff(25828,plain,
% 14.40/10.12 (until5(s138)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9635, 25827])).
% 14.40/10.12 tff(25829,plain,
% 14.40/10.12 (~node4(s138)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9619, 36, 25140])).
% 14.40/10.12 tff(25830,plain,
% 14.40/10.12 (xuntil6(s138) | (~until5(s138))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9626, 294, 25829])).
% 14.40/10.12 tff(25831,plain,
% 14.40/10.12 (xuntil6(s138)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25830, 25828])).
% 14.40/10.12 tff(25832,plain,
% 14.40/10.12 (until5(s139)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9606, 25831])).
% 14.40/10.12 tff(25833,plain,
% 14.40/10.12 (~node4(s139)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9590, 36, 25139])).
% 14.40/10.12 tff(25834,plain,
% 14.40/10.12 (xuntil6(s139) | (~until5(s139))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9597, 294, 25833])).
% 14.40/10.12 tff(25835,plain,
% 14.40/10.12 (xuntil6(s139)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25834, 25832])).
% 14.40/10.12 tff(25836,plain,
% 14.40/10.12 (until5(s140)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9577, 25835])).
% 14.40/10.12 tff(25837,plain,
% 14.40/10.12 (~node4(s140)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9561, 36, 25138])).
% 14.40/10.12 tff(25838,plain,
% 14.40/10.12 (xuntil6(s140) | (~until5(s140))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9568, 294, 25837])).
% 14.40/10.12 tff(25839,plain,
% 14.40/10.12 (xuntil6(s140)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25838, 25836])).
% 14.40/10.12 tff(25840,plain,
% 14.40/10.12 (until5(s141)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9548, 25839])).
% 14.40/10.12 tff(25841,plain,
% 14.40/10.12 (~node4(s141)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9260, 36, 25137])).
% 14.40/10.12 tff(25842,plain,
% 14.40/10.12 (xuntil6(s141) | (~until5(s141))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9539, 294, 25841])).
% 14.40/10.12 tff(25843,plain,
% 14.40/10.12 (xuntil6(s141)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25842, 25840])).
% 14.40/10.12 tff(25844,plain,
% 14.40/10.12 (until5(s142)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9530, 25843])).
% 14.40/10.12 tff(25845,plain,
% 14.40/10.12 (~node4(s142)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9517, 36, 25136])).
% 14.40/10.12 tff(25846,plain,
% 14.40/10.12 (xuntil6(s142) | (~until5(s142))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9524, 294, 25845])).
% 14.40/10.12 tff(25847,plain,
% 14.40/10.12 (xuntil6(s142)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25846, 25844])).
% 14.40/10.12 tff(25848,plain,
% 14.40/10.12 (until5(s143)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9508, 25847])).
% 14.40/10.12 tff(25849,plain,
% 14.40/10.12 (~node4(s143)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9179, 36, 25135])).
% 14.40/10.12 tff(25850,plain,
% 14.40/10.12 (xuntil6(s143) | (~until5(s143))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9502, 294, 25849])).
% 14.40/10.12 tff(25851,plain,
% 14.40/10.12 (xuntil6(s143)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25850, 25848])).
% 14.40/10.12 tff(25852,plain,
% 14.40/10.12 (until5(s144)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9493, 25851])).
% 14.40/10.12 tff(25853,plain,
% 14.40/10.12 (~node4(s144)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9480, 36, 25134])).
% 14.40/10.12 tff(25854,plain,
% 14.40/10.12 (xuntil6(s144) | (~until5(s144))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9487, 294, 25853])).
% 14.40/10.12 tff(25855,plain,
% 14.40/10.12 (xuntil6(s144)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25854, 25852])).
% 14.40/10.12 tff(25856,plain,
% 14.40/10.12 (until5(s145)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9467, 25855])).
% 14.40/10.12 tff(25857,plain,
% 14.40/10.12 (~node4(s145)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9451, 36, 25133])).
% 14.40/10.12 tff(25858,plain,
% 14.40/10.12 (xuntil6(s145) | (~until5(s145))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9458, 294, 25857])).
% 14.40/10.12 tff(25859,plain,
% 14.40/10.12 (xuntil6(s145)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25858, 25856])).
% 14.40/10.12 tff(25860,plain,
% 14.40/10.12 (until5(s146)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9438, 25859])).
% 14.40/10.12 tff(25861,plain,
% 14.40/10.12 (~node4(s146)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9422, 36, 25132])).
% 14.40/10.12 tff(25862,plain,
% 14.40/10.12 (xuntil6(s146) | (~until5(s146))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9429, 294, 25861])).
% 14.40/10.12 tff(25863,plain,
% 14.40/10.12 (xuntil6(s146)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25862, 25860])).
% 14.40/10.12 tff(25864,plain,
% 14.40/10.12 (until5(s147)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9409, 25863])).
% 14.40/10.12 tff(25865,plain,
% 14.40/10.12 (~node4(s147)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9393, 36, 25131])).
% 14.40/10.12 tff(25866,plain,
% 14.40/10.12 (xuntil6(s147) | (~until5(s147))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9400, 294, 25865])).
% 14.40/10.12 tff(25867,plain,
% 14.40/10.12 (xuntil6(s147)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25866, 25864])).
% 14.40/10.12 tff(25868,plain,
% 14.40/10.12 (until5(s148)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9380, 25867])).
% 14.40/10.12 tff(25869,plain,
% 14.40/10.12 (~node4(s148)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9364, 36, 25130])).
% 14.40/10.12 tff(25870,plain,
% 14.40/10.12 (xuntil6(s148) | (~until5(s148))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9371, 294, 25869])).
% 14.40/10.12 tff(25871,plain,
% 14.40/10.12 (xuntil6(s148)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25870, 25868])).
% 14.40/10.12 tff(25872,plain,
% 14.40/10.12 (until5(s149)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9351, 25871])).
% 14.40/10.12 tff(25873,plain,
% 14.40/10.12 (~node4(s149)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9319, 36, 25129])).
% 14.40/10.12 tff(25874,plain,
% 14.40/10.12 (xuntil6(s149) | (~until5(s149))),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9343, 294, 25873])).
% 14.40/10.12 tff(25875,plain,
% 14.40/10.12 (xuntil6(s149)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[25874, 25872])).
% 14.40/10.12 tff(25876,plain,
% 14.40/10.12 (until5(s150)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9336, 25875])).
% 14.40/10.12 tff(25877,plain,
% 14.40/10.12 (~node4(s150)),
% 14.40/10.12 inference(unit_resolution,[status(thm)],[9323, 36, 25128])).
% 14.40/10.13 tff(25878,plain,
% 14.40/10.13 (xuntil6(s150) | (~until5(s150))),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[9330, 294, 25877])).
% 14.40/10.13 tff(25879,plain,
% 14.40/10.13 (xuntil6(s150)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25878, 25876])).
% 14.40/10.13 tff(25880,plain,
% 14.40/10.13 (until5(s151)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[12081, 25879])).
% 14.40/10.13 tff(25881,plain,
% 14.40/10.13 (~node4(s151)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[12135, 36, 25127])).
% 14.40/10.13 tff(25882,plain,
% 14.40/10.13 (xuntil6(s151) | (~until5(s151))),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[12130, 294, 25881])).
% 14.40/10.13 tff(25883,plain,
% 14.40/10.13 (xuntil6(s151)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25882, 25880])).
% 14.40/10.13 tff(25884,plain,
% 14.40/10.13 (until5(s152)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[12184, 25883])).
% 14.40/10.13 tff(25885,plain,
% 14.40/10.13 (~node4(s152)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[12194, 36, 25126])).
% 14.40/10.13 tff(25886,plain,
% 14.40/10.13 (xuntil6(s152) | (~until5(s152))),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[12235, 294, 25885])).
% 14.40/10.13 tff(25887,plain,
% 14.40/10.13 ($false),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25886, 25884, 25125])).
% 14.40/10.13 tff(25888,plain,(always3(s304) | xuntil6(s304)), inference(lemma,lemma(discharge,[]))).
% 14.40/10.13 tff(25889,plain,
% 14.40/10.13 (always3(s304)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25888, 24301])).
% 14.40/10.13 tff(25890,plain,
% 14.40/10.13 (succ(s304, s305) <=> succ(s304, s305)),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25891,axiom,(succ(s304, s305)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound305')).
% 14.40/10.13 tff(25892,plain,
% 14.40/10.13 (succ(s304, s305)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25891, 25890])).
% 14.40/10.13 tff(25893,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25894,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25895,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25894, 25893])).
% 14.40/10.13 tff(25896,plain,
% 14.40/10.13 (trans(s304, s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25895, 25892, 52])).
% 14.40/10.13 tff(25897,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s304, s305)) | (~always3(s304)) | always3(s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s304, s305)) | (~always3(s304)) | always3(s305))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25898,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s304, s305)) | (~always3(s304)) | always3(s305))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25899,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s304, s305)) | (~always3(s304)) | always3(s305)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25898, 25897])).
% 14.40/10.13 tff(25900,plain,
% 14.40/10.13 ((~always3(s304)) | always3(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25899, 125, 25896])).
% 14.40/10.13 tff(25901,plain,
% 14.40/10.13 (always3(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25900, 25889])).
% 14.40/10.13 tff(25902,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s305)) | (~m_main_v_state(s305, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s305)) | (~m_main_v_state(s305, c_busy)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25903,plain,
% 14.40/10.13 (((~m_main_v_state(s305, c_busy)) | (~always3(s305))) <=> ((~always3(s305)) | (~m_main_v_state(s305, c_busy)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25904,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s305, c_busy)) | (~always3(s305)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s305)) | (~m_main_v_state(s305, c_busy))))),
% 14.40/10.13 inference(monotonicity,[status(thm)],[25903])).
% 14.40/10.13 tff(25905,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s305, c_busy)) | (~always3(s305)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s305)) | (~m_main_v_state(s305, c_busy)))),
% 14.40/10.13 inference(transitivity,[status(thm)],[25904, 25902])).
% 14.40/10.13 tff(25906,plain,
% 14.40/10.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s305, c_busy)) | (~always3(s305)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25907,plain,
% 14.40/10.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s305)) | (~m_main_v_state(s305, c_busy))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25906, 25905])).
% 14.40/10.13 tff(25908,plain,
% 14.40/10.13 (~m_main_v_state(s305, c_busy)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25907, 85, 25901])).
% 14.40/10.13 tff(25909,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s304, s305)) | node2(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s304, s305)) | node2(s304, s305))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25910,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s304, s305)) | node2(s304, s305))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25911,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s304, s305)) | node2(s304, s305)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25910, 25909])).
% 14.40/10.13 tff(25912,plain,
% 14.40/10.13 (node2(s304, s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25911, 7, 25896])).
% 14.40/10.13 tff(25913,plain,
% 14.40/10.13 (((~![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(s304, c_ready)) | (~node2(s304, s305)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s304, c_ready)) | (~node2(s304, s305)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25914,plain,
% 14.40/10.13 ((~![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(s304, c_ready)) | (~node2(s304, s305)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25915,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s304, c_ready)) | (~node2(s304, s305)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25914, 25913])).
% 14.40/10.13 tff(25916,plain,
% 14.40/10.13 ((~m_main_v_state(s304, c_ready)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304))),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25915, 73, 25912])).
% 14.40/10.13 tff(25917,plain,
% 14.40/10.13 ($false),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25916, 25908, 24315, 24303])).
% 14.40/10.13 tff(25918,plain,(xuntil6(s304) | (~m_main_v_state(s304, c_ready)) | (~until5(s304))), inference(lemma,lemma(discharge,[]))).
% 14.40/10.13 tff(25919,plain,
% 14.40/10.13 (~m_main_v_state(s304, c_ready)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25918, 24301, 24302])).
% 14.40/10.13 tff(25920,plain,
% 14.40/10.13 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s304, c_busy) | m_main_v_state(s304, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s304, c_busy) | m_main_v_state(s304, c_ready))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25921,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s304, c_busy) | m_main_v_state(s304, c_ready))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25922,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s304, c_busy) | m_main_v_state(s304, c_ready)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25921, 25920])).
% 14.40/10.13 tff(25923,plain,
% 14.40/10.13 (m_main_v_state(s304, c_busy)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25922, 102, 25919])).
% 14.40/10.13 tff(25924,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s304)) | (~m_main_v_state(s304, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s304)) | (~m_main_v_state(s304, c_busy)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25925,plain,
% 14.40/10.13 (((~m_main_v_state(s304, c_busy)) | (~always3(s304))) <=> ((~always3(s304)) | (~m_main_v_state(s304, c_busy)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25926,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s304, c_busy)) | (~always3(s304)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s304)) | (~m_main_v_state(s304, c_busy))))),
% 14.40/10.13 inference(monotonicity,[status(thm)],[25925])).
% 14.40/10.13 tff(25927,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s304, c_busy)) | (~always3(s304)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s304)) | (~m_main_v_state(s304, c_busy)))),
% 14.40/10.13 inference(transitivity,[status(thm)],[25926, 25924])).
% 14.40/10.13 tff(25928,plain,
% 14.40/10.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s304, c_busy)) | (~always3(s304)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25929,plain,
% 14.40/10.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s304)) | (~m_main_v_state(s304, c_busy))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 14.40/10.13 tff(25930,plain,
% 14.40/10.13 ($false),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25929, 85, 25889, 25923])).
% 14.40/10.13 tff(25931,plain,(xuntil6(s304) | (~until5(s304))), inference(lemma,lemma(discharge,[]))).
% 14.40/10.13 tff(25932,plain,
% 14.40/10.13 (~until5(s304)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25931, 24301])).
% 14.40/10.13 tff(25933,plain,
% 14.40/10.13 (~xuntil6(s303)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24342, 25932])).
% 14.40/10.13 tff(25934,assumption,(~xuntil6(s303)), introduced(assumption)).
% 14.40/10.13 tff(25935,assumption,(~always3(s303)), introduced(assumption)).
% 14.40/10.13 tff(25936,plain,
% 14.40/10.13 (~always3(s302)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24366, 25935])).
% 14.40/10.13 tff(25937,plain,
% 14.40/10.13 (~node4(s302)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24370, 36, 25936])).
% 14.40/10.13 tff(25938,plain,
% 14.40/10.13 (xuntil6(s302) | node4(s302)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24377, 294, 24300])).
% 14.40/10.13 tff(25939,plain,
% 14.40/10.13 (xuntil6(s302)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25938, 25937])).
% 14.40/10.13 tff(25940,plain,
% 14.40/10.13 (until5(s303)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24357, 25939])).
% 14.40/10.13 tff(25941,plain,
% 14.40/10.13 (node4(s303) | (~until5(s303))),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24349, 294, 25934])).
% 14.40/10.13 tff(25942,plain,
% 14.40/10.13 (node4(s303)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25941, 25940])).
% 14.40/10.13 tff(25943,plain,
% 14.40/10.13 ($false),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24331, 36, 25935, 25942])).
% 14.40/10.13 tff(25944,plain,(always3(s303) | xuntil6(s303) | (~until5(s302))), inference(lemma,lemma(discharge,[]))).
% 14.40/10.13 tff(25945,plain,
% 14.40/10.13 (always3(s303)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25944, 24300, 25934])).
% 14.40/10.13 tff(25946,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s303)) | (~m_main_v_state(s303, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s303)) | (~m_main_v_state(s303, c_busy)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25947,plain,
% 14.40/10.13 (((~m_main_v_state(s303, c_busy)) | (~always3(s303))) <=> ((~always3(s303)) | (~m_main_v_state(s303, c_busy)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25948,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s303, c_busy)) | (~always3(s303)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s303)) | (~m_main_v_state(s303, c_busy))))),
% 14.40/10.13 inference(monotonicity,[status(thm)],[25947])).
% 14.40/10.13 tff(25949,plain,
% 14.40/10.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s303, c_busy)) | (~always3(s303)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s303)) | (~m_main_v_state(s303, c_busy)))),
% 14.40/10.13 inference(transitivity,[status(thm)],[25948, 25946])).
% 14.40/10.13 tff(25950,plain,
% 14.40/10.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s303, c_busy)) | (~always3(s303)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25951,plain,
% 14.40/10.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s303)) | (~m_main_v_state(s303, c_busy))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25950, 25949])).
% 14.40/10.13 tff(25952,plain,
% 14.40/10.13 (~m_main_v_state(s303, c_busy)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25951, 85, 25945])).
% 14.40/10.13 tff(25953,assumption,(~m_main_v_state(s304, c_busy)), introduced(assumption)).
% 14.40/10.13 tff(25954,plain,
% 14.40/10.13 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s303, c_busy) | m_main_v_state(s303, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s303, c_busy) | m_main_v_state(s303, c_ready))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25955,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s303, c_busy) | m_main_v_state(s303, c_ready))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25956,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s303, c_busy) | m_main_v_state(s303, c_ready)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25955, 25954])).
% 14.40/10.13 tff(25957,plain,
% 14.40/10.13 (m_main_v_state(s303, c_ready)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25956, 102, 25952])).
% 14.40/10.13 tff(25958,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s303, s304)) | node2(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s303, s304)) | node2(s303, s304))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25959,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s303, s304)) | node2(s303, s304))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25960,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s303, s304)) | node2(s303, s304)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25959, 25958])).
% 14.40/10.13 tff(25961,plain,
% 14.40/10.13 (node2(s303, s304)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25960, 7, 24323])).
% 14.40/10.13 tff(25962,plain,
% 14.40/10.13 (((~![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(s303, c_ready)) | (~node2(s303, s304)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s303, c_ready)) | (~node2(s303, s304)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25963,plain,
% 14.40/10.13 ((~![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(s303, c_ready)) | (~node2(s303, s304)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25964,plain,
% 14.40/10.13 ((~![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(s303, c_ready)) | (~node2(s303, s304)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25963, 25962])).
% 14.40/10.13 tff(25965,plain,
% 14.40/10.13 ((~m_main_v_state(s303, c_ready)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303))),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25964, 73, 25961])).
% 14.40/10.13 tff(25966,plain,
% 14.40/10.13 (~m_main_v_request(s303)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25965, 25957, 25953])).
% 14.40/10.13 tff(25967,plain,
% 14.40/10.13 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s303) | (~node4(s303)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s303) | (~node4(s303)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25968,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s303) | (~node4(s303)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25969,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s303) | (~node4(s303))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25968, 25967])).
% 14.40/10.13 tff(25970,plain,
% 14.40/10.13 (~node4(s303)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25969, 21, 25966])).
% 14.40/10.13 tff(25971,plain,
% 14.40/10.13 (~until5(s303)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25941, 25970])).
% 14.40/10.13 tff(25972,plain,
% 14.40/10.13 (~xuntil6(s302)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24357, 25971])).
% 14.40/10.13 tff(25973,plain,
% 14.40/10.13 (node4(s302)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25938, 25972])).
% 14.40/10.13 tff(25974,plain,
% 14.40/10.13 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s302) | (~node4(s302)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s302) | (~node4(s302)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25975,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s302) | (~node4(s302)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25976,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s302) | (~node4(s302))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25975, 25974])).
% 14.40/10.13 tff(25977,plain,
% 14.40/10.13 (m_main_v_request(s302)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25976, 21, 25973])).
% 14.40/10.13 tff(25978,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s302, s303)) | node2(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s302, s303)) | node2(s302, s303))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25979,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s302, s303)) | node2(s302, s303))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25980,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s302, s303)) | node2(s302, s303)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25979, 25978])).
% 14.40/10.13 tff(25981,plain,
% 14.40/10.13 (node2(s302, s303)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25980, 7, 24362])).
% 14.40/10.13 tff(25982,plain,
% 14.40/10.13 (((~![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(s302, c_ready)) | (~node2(s302, s303)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s302, c_ready)) | (~node2(s302, s303)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25983,plain,
% 14.40/10.13 ((~![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(s302, c_ready)) | (~node2(s302, s303)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25984,plain,
% 14.40/10.13 ((~![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(s302, c_ready)) | (~node2(s302, s303)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 14.40/10.13 tff(25985,plain,
% 14.40/10.13 ((~m_main_v_state(s302, c_ready)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302))),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25984, 73, 25981])).
% 14.40/10.13 tff(25986,plain,
% 14.40/10.13 (~m_main_v_state(s302, c_ready)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25985, 25977, 25952])).
% 14.40/10.13 tff(25987,plain,
% 14.40/10.13 (always3(s302)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[24370, 36, 25973])).
% 14.40/10.13 tff(25988,plain,
% 14.40/10.13 (~m_main_v_state(s302, c_busy)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[23402, 85, 25987])).
% 14.40/10.13 tff(25989,plain,
% 14.40/10.13 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s302, c_busy) | m_main_v_state(s302, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s302, c_busy) | m_main_v_state(s302, c_ready))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25990,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s302, c_busy) | m_main_v_state(s302, c_ready))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(25991,plain,
% 14.40/10.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s302, c_busy) | m_main_v_state(s302, c_ready)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25990, 25989])).
% 14.40/10.13 tff(25992,plain,
% 14.40/10.13 ($false),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25991, 102, 25988, 25986])).
% 14.40/10.13 tff(25993,plain,((~until5(s302)) | xuntil6(s303) | m_main_v_state(s304, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.40/10.13 tff(25994,plain,
% 14.40/10.13 (m_main_v_state(s304, c_busy)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25993, 25933, 24300])).
% 14.40/10.13 tff(25995,plain,
% 14.40/10.13 ($false),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25929, 85, 25889, 25994])).
% 14.40/10.13 tff(25996,plain,(xuntil6(s304) | (~until5(s302))), inference(lemma,lemma(discharge,[]))).
% 14.40/10.13 tff(25997,plain,
% 14.40/10.13 (xuntil6(s304)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25996, 24299])).
% 14.40/10.13 tff(25998,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(25999,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26000,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[25999, 25998])).
% 14.40/10.13 tff(26001,plain,
% 14.40/10.13 ((~xuntil6(s304)) | until5(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26000, 25892, 312])).
% 14.40/10.13 tff(26002,plain,
% 14.40/10.13 (until5(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26001, 25997])).
% 14.40/10.13 tff(26003,assumption,(until5(s305)), introduced(assumption)).
% 14.40/10.13 tff(26004,assumption,(~xuntil6(s307)), introduced(assumption)).
% 14.40/10.13 tff(26005,assumption,(~always3(s307)), introduced(assumption)).
% 14.40/10.13 tff(26006,plain,
% 14.40/10.13 (succ(s306, s307) <=> succ(s306, s307)),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26007,axiom,(succ(s306, s307)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound307')).
% 14.40/10.13 tff(26008,plain,
% 14.40/10.13 (succ(s306, s307)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26007, 26006])).
% 14.40/10.13 tff(26009,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26010,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26011,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26010, 26009])).
% 14.40/10.13 tff(26012,plain,
% 14.40/10.13 (trans(s306, s307)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26011, 26008, 52])).
% 14.40/10.13 tff(26013,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s306, s307)) | (~always3(s306)) | always3(s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s306, s307)) | (~always3(s306)) | always3(s307))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26014,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s306, s307)) | (~always3(s306)) | always3(s307))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26015,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s306, s307)) | (~always3(s306)) | always3(s307)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26014, 26013])).
% 14.40/10.13 tff(26016,plain,
% 14.40/10.13 ((~always3(s306)) | always3(s307)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26015, 125, 26012])).
% 14.40/10.13 tff(26017,plain,
% 14.40/10.13 (~always3(s306)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26016, 26005])).
% 14.40/10.13 tff(26018,assumption,(~always3(s306)), introduced(assumption)).
% 14.40/10.13 tff(26019,plain,
% 14.40/10.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s306) | (~node4(s306)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s306) | (~node4(s306)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26020,plain,
% 14.40/10.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s306) | (~node4(s306)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26021,plain,
% 14.40/10.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s306) | (~node4(s306))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26020, 26019])).
% 14.40/10.13 tff(26022,plain,
% 14.40/10.13 (~node4(s306)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26021, 36, 26018])).
% 14.40/10.13 tff(26023,assumption,(~xuntil6(s306)), introduced(assumption)).
% 14.40/10.13 tff(26024,plain,
% 14.40/10.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s306) | node4(s306) | (~until5(s306)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s306) | node4(s306) | (~until5(s306)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26025,plain,
% 14.40/10.13 ((node4(s306) | (~until5(s306)) | xuntil6(s306)) <=> (xuntil6(s306) | node4(s306) | (~until5(s306)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26026,plain,
% 14.40/10.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s306) | (~until5(s306)) | xuntil6(s306))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s306) | node4(s306) | (~until5(s306))))),
% 14.40/10.13 inference(monotonicity,[status(thm)],[26025])).
% 14.40/10.13 tff(26027,plain,
% 14.40/10.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s306) | (~until5(s306)) | xuntil6(s306))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s306) | node4(s306) | (~until5(s306)))),
% 14.40/10.13 inference(transitivity,[status(thm)],[26026, 26024])).
% 14.40/10.13 tff(26028,plain,
% 14.40/10.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s306) | (~until5(s306)) | xuntil6(s306))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26029,plain,
% 14.40/10.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s306) | node4(s306) | (~until5(s306))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26028, 26027])).
% 14.40/10.13 tff(26030,plain,
% 14.40/10.13 (node4(s306) | (~until5(s306))),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26029, 294, 26023])).
% 14.40/10.13 tff(26031,plain,
% 14.40/10.13 (~until5(s306)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26030, 26022])).
% 14.40/10.13 tff(26032,plain,
% 14.40/10.13 (succ(s305, s306) <=> succ(s305, s306)),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26033,axiom,(succ(s305, s306)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound306')).
% 14.40/10.13 tff(26034,plain,
% 14.40/10.13 (succ(s305, s306)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26033, 26032])).
% 14.40/10.13 tff(26035,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26036,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26037,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 14.40/10.13 tff(26038,plain,
% 14.40/10.13 (trans(s305, s306)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26037, 26034, 52])).
% 14.40/10.13 tff(26039,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s305, s306)) | (~always3(s305)) | always3(s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s305, s306)) | (~always3(s305)) | always3(s306))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26040,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s305, s306)) | (~always3(s305)) | always3(s306))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26041,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s305, s306)) | (~always3(s305)) | always3(s306)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26040, 26039])).
% 14.40/10.13 tff(26042,plain,
% 14.40/10.13 ((~always3(s305)) | always3(s306)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26041, 125, 26038])).
% 14.40/10.13 tff(26043,plain,
% 14.40/10.13 (~always3(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26042, 26018])).
% 14.40/10.13 tff(26044,plain,
% 14.40/10.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s305) | (~node4(s305)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s305) | (~node4(s305)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26045,plain,
% 14.40/10.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s305) | (~node4(s305)))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26046,plain,
% 14.40/10.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s305) | (~node4(s305))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26045, 26044])).
% 14.40/10.13 tff(26047,plain,
% 14.40/10.13 (~node4(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26046, 36, 26043])).
% 14.40/10.13 tff(26048,plain,
% 14.40/10.13 (~always3(s304)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25900, 26043])).
% 14.40/10.13 tff(26049,plain,
% 14.40/10.13 (xuntil6(s304)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[25888, 26048])).
% 14.40/10.13 tff(26050,plain,
% 14.40/10.13 (until5(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26001, 26049])).
% 14.40/10.13 tff(26051,plain,
% 14.40/10.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s305) | node4(s305) | (~until5(s305)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s305) | node4(s305) | (~until5(s305)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26052,plain,
% 14.40/10.13 ((node4(s305) | (~until5(s305)) | xuntil6(s305)) <=> (xuntil6(s305) | node4(s305) | (~until5(s305)))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26053,plain,
% 14.40/10.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s305) | (~until5(s305)) | xuntil6(s305))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s305) | node4(s305) | (~until5(s305))))),
% 14.40/10.13 inference(monotonicity,[status(thm)],[26052])).
% 14.40/10.13 tff(26054,plain,
% 14.40/10.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s305) | (~until5(s305)) | xuntil6(s305))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s305) | node4(s305) | (~until5(s305)))),
% 14.40/10.13 inference(transitivity,[status(thm)],[26053, 26051])).
% 14.40/10.13 tff(26055,plain,
% 14.40/10.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s305) | (~until5(s305)) | xuntil6(s305))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26056,plain,
% 14.40/10.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s305) | node4(s305) | (~until5(s305))),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26055, 26054])).
% 14.40/10.13 tff(26057,plain,
% 14.40/10.13 (xuntil6(s305) | node4(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26056, 294, 26050])).
% 14.40/10.13 tff(26058,plain,
% 14.40/10.13 (xuntil6(s305)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26057, 26047])).
% 14.40/10.13 tff(26059,plain,
% 14.40/10.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306))),
% 14.40/10.13 inference(rewrite,[status(thm)],[])).
% 14.40/10.13 tff(26060,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306))),
% 14.40/10.13 inference(quant_inst,[status(thm)],[])).
% 14.40/10.13 tff(26061,plain,
% 14.40/10.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306)),
% 14.40/10.13 inference(modus_ponens,[status(thm)],[26060, 26059])).
% 14.40/10.13 tff(26062,plain,
% 14.40/10.13 ((~xuntil6(s305)) | until5(s306)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26061, 26034, 312])).
% 14.40/10.13 tff(26063,plain,
% 14.40/10.13 ($false),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26062, 26058, 26031])).
% 14.40/10.13 tff(26064,plain,(always3(s306) | xuntil6(s306)), inference(lemma,lemma(discharge,[]))).
% 14.40/10.13 tff(26065,plain,
% 14.40/10.13 (xuntil6(s306)),
% 14.40/10.13 inference(unit_resolution,[status(thm)],[26064, 26017])).
% 14.40/10.13 tff(26066,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26067,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26068,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26067, 26066])).
% 14.40/10.14 tff(26069,plain,
% 14.40/10.14 ((~xuntil6(s306)) | until5(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26068, 26008, 312])).
% 14.40/10.14 tff(26070,plain,
% 14.40/10.14 (until5(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26069, 26065])).
% 14.40/10.14 tff(26071,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s307) | node4(s307) | (~until5(s307)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s307) | node4(s307) | (~until5(s307)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26072,plain,
% 14.40/10.14 ((node4(s307) | (~until5(s307)) | xuntil6(s307)) <=> (xuntil6(s307) | node4(s307) | (~until5(s307)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26073,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s307) | (~until5(s307)) | xuntil6(s307))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s307) | node4(s307) | (~until5(s307))))),
% 14.40/10.14 inference(monotonicity,[status(thm)],[26072])).
% 14.40/10.14 tff(26074,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s307) | (~until5(s307)) | xuntil6(s307))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s307) | node4(s307) | (~until5(s307)))),
% 14.40/10.14 inference(transitivity,[status(thm)],[26073, 26071])).
% 14.40/10.14 tff(26075,plain,
% 14.40/10.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s307) | (~until5(s307)) | xuntil6(s307))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26076,plain,
% 14.40/10.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s307) | node4(s307) | (~until5(s307))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26075, 26074])).
% 14.40/10.14 tff(26077,plain,
% 14.40/10.14 (node4(s307) | (~until5(s307))),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26076, 294, 26004])).
% 14.40/10.14 tff(26078,plain,
% 14.40/10.14 (node4(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26077, 26070])).
% 14.40/10.14 tff(26079,plain,
% 14.40/10.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s307) | (~node4(s307)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s307) | (~node4(s307)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26080,plain,
% 14.40/10.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s307) | (~node4(s307)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26081,plain,
% 14.40/10.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s307) | (~node4(s307))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26080, 26079])).
% 14.40/10.14 tff(26082,plain,
% 14.40/10.14 ($false),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26081, 36, 26005, 26078])).
% 14.40/10.14 tff(26083,plain,(always3(s307) | xuntil6(s307)), inference(lemma,lemma(discharge,[]))).
% 14.40/10.14 tff(26084,plain,
% 14.40/10.14 (always3(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26083, 26004])).
% 14.40/10.14 tff(26085,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s307)) | (~m_main_v_state(s307, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s307)) | (~m_main_v_state(s307, c_busy)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26086,plain,
% 14.40/10.14 (((~m_main_v_state(s307, c_busy)) | (~always3(s307))) <=> ((~always3(s307)) | (~m_main_v_state(s307, c_busy)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26087,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s307, c_busy)) | (~always3(s307)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s307)) | (~m_main_v_state(s307, c_busy))))),
% 14.40/10.14 inference(monotonicity,[status(thm)],[26086])).
% 14.40/10.14 tff(26088,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s307, c_busy)) | (~always3(s307)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s307)) | (~m_main_v_state(s307, c_busy)))),
% 14.40/10.14 inference(transitivity,[status(thm)],[26087, 26085])).
% 14.40/10.14 tff(26089,plain,
% 14.40/10.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s307, c_busy)) | (~always3(s307)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26090,plain,
% 14.40/10.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s307)) | (~m_main_v_state(s307, c_busy))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26089, 26088])).
% 14.40/10.14 tff(26091,plain,
% 14.40/10.14 (~m_main_v_state(s307, c_busy)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26090, 85, 26084])).
% 14.40/10.14 tff(26092,assumption,(~node4(s307)), introduced(assumption)).
% 14.40/10.14 tff(26093,plain,
% 14.40/10.14 (~until5(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26076, 294, 26004, 26092])).
% 14.40/10.14 tff(26094,plain,
% 14.40/10.14 (~xuntil6(s306)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26069, 26093])).
% 14.40/10.14 tff(26095,plain,
% 14.40/10.14 (always3(s306)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26064, 26094])).
% 14.40/10.14 tff(26096,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s306)) | (~m_main_v_state(s306, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s306)) | (~m_main_v_state(s306, c_busy)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26097,plain,
% 14.40/10.14 (((~m_main_v_state(s306, c_busy)) | (~always3(s306))) <=> ((~always3(s306)) | (~m_main_v_state(s306, c_busy)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26098,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s306, c_busy)) | (~always3(s306)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s306)) | (~m_main_v_state(s306, c_busy))))),
% 14.40/10.14 inference(monotonicity,[status(thm)],[26097])).
% 14.40/10.14 tff(26099,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s306, c_busy)) | (~always3(s306)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s306)) | (~m_main_v_state(s306, c_busy)))),
% 14.40/10.14 inference(transitivity,[status(thm)],[26098, 26096])).
% 14.40/10.14 tff(26100,plain,
% 14.40/10.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s306, c_busy)) | (~always3(s306)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26101,plain,
% 14.40/10.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s306)) | (~m_main_v_state(s306, c_busy))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26100, 26099])).
% 14.40/10.14 tff(26102,plain,
% 14.40/10.14 (~m_main_v_state(s306, c_busy)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26101, 85, 26095])).
% 14.40/10.14 tff(26103,plain,
% 14.40/10.14 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s306, c_busy) | m_main_v_state(s306, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s306, c_busy) | m_main_v_state(s306, c_ready))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26104,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s306, c_busy) | m_main_v_state(s306, c_ready))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26105,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s306, c_busy) | m_main_v_state(s306, c_ready)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26104, 26103])).
% 14.40/10.14 tff(26106,plain,
% 14.40/10.14 (m_main_v_state(s306, c_ready)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26105, 102, 26102])).
% 14.40/10.14 tff(26107,assumption,(~m_main_v_state(s306, c_busy)), introduced(assumption)).
% 14.40/10.14 tff(26108,assumption,(node4(s305)), introduced(assumption)).
% 14.40/10.14 tff(26109,plain,
% 14.40/10.14 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s305) | (~node4(s305)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s305) | (~node4(s305)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26110,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s305) | (~node4(s305)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26111,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s305) | (~node4(s305))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 14.40/10.14 tff(26112,plain,
% 14.40/10.14 (m_main_v_request(s305)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26111, 21, 26108])).
% 14.40/10.14 tff(26113,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s305, s306)) | node2(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s305, s306)) | node2(s305, s306))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26114,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s305, s306)) | node2(s305, s306))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26115,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s305, s306)) | node2(s305, s306)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26114, 26113])).
% 14.40/10.14 tff(26116,plain,
% 14.40/10.14 (node2(s305, s306)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26115, 7, 26038])).
% 14.40/10.14 tff(26117,plain,
% 14.40/10.14 (((~![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(s305, c_ready)) | (~node2(s305, s306)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s305, c_ready)) | (~node2(s305, s306)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26118,plain,
% 14.40/10.14 ((~![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(s305, c_ready)) | (~node2(s305, s306)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26119,plain,
% 14.40/10.14 ((~![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(s305, c_ready)) | (~node2(s305, s306)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26118, 26117])).
% 14.40/10.14 tff(26120,plain,
% 14.40/10.14 ((~m_main_v_state(s305, c_ready)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305))),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26119, 73, 26116])).
% 14.40/10.14 tff(26121,plain,
% 14.40/10.14 (~m_main_v_state(s305, c_ready)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26120, 26112, 26107])).
% 14.40/10.14 tff(26122,plain,
% 14.40/10.14 (always3(s305)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26046, 36, 26108])).
% 14.40/10.14 tff(26123,plain,
% 14.40/10.14 (~m_main_v_state(s305, c_busy)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[25907, 85, 26122])).
% 14.40/10.14 tff(26124,plain,
% 14.40/10.14 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s305, c_busy) | m_main_v_state(s305, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s305, c_busy) | m_main_v_state(s305, c_ready))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26125,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s305, c_busy) | m_main_v_state(s305, c_ready))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26126,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s305, c_busy) | m_main_v_state(s305, c_ready)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26125, 26124])).
% 14.40/10.14 tff(26127,plain,
% 14.40/10.14 ($false),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26126, 102, 26123, 26121])).
% 14.40/10.14 tff(26128,plain,((~node4(s305)) | m_main_v_state(s306, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.40/10.14 tff(26129,plain,
% 14.40/10.14 (~node4(s305)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26128, 26102])).
% 14.40/10.14 tff(26130,plain,
% 14.40/10.14 (xuntil6(s305) | node4(s305)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26056, 294, 26003])).
% 14.40/10.14 tff(26131,plain,
% 14.40/10.14 (xuntil6(s305)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26130, 26129])).
% 14.40/10.14 tff(26132,plain,
% 14.40/10.14 (until5(s306)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26062, 26131])).
% 14.40/10.14 tff(26133,plain,
% 14.40/10.14 (node4(s306) | (~until5(s306))),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26029, 294, 26094])).
% 14.40/10.14 tff(26134,plain,
% 14.40/10.14 (node4(s306)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26133, 26132])).
% 14.40/10.14 tff(26135,plain,
% 14.40/10.14 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s306) | (~node4(s306)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s306) | (~node4(s306)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26136,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s306) | (~node4(s306)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26137,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s306) | (~node4(s306))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 14.40/10.14 tff(26138,plain,
% 14.40/10.14 (m_main_v_request(s306)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26137, 21, 26134])).
% 14.40/10.14 tff(26139,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s306, s307)) | node2(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s306, s307)) | node2(s306, s307))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26140,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s306, s307)) | node2(s306, s307))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26141,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s306, s307)) | node2(s306, s307)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26140, 26139])).
% 14.40/10.14 tff(26142,plain,
% 14.40/10.14 (node2(s306, s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26141, 7, 26012])).
% 14.40/10.14 tff(26143,plain,
% 14.40/10.14 (((~![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(s306, c_ready)) | (~node2(s306, s307)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s306, c_ready)) | (~node2(s306, s307)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26144,plain,
% 14.40/10.14 ((~![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(s306, c_ready)) | (~node2(s306, s307)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26145,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s306, c_ready)) | (~node2(s306, s307)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26144, 26143])).
% 14.40/10.14 tff(26146,plain,
% 14.40/10.14 ((~m_main_v_state(s306, c_ready)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306))),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26145, 73, 26142])).
% 14.40/10.14 tff(26147,plain,
% 14.40/10.14 ($false),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26146, 26138, 26106, 26091])).
% 14.40/10.14 tff(26148,plain,(xuntil6(s307) | (~until5(s305)) | node4(s307)), inference(lemma,lemma(discharge,[]))).
% 14.40/10.14 tff(26149,plain,
% 14.40/10.14 (node4(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26148, 26004, 26003])).
% 14.40/10.14 tff(26150,assumption,(~m_main_v_state(s308, c_busy)), introduced(assumption)).
% 14.40/10.14 tff(26151,assumption,(node4(s307)), introduced(assumption)).
% 14.40/10.14 tff(26152,plain,
% 14.40/10.14 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s307) | (~node4(s307)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s307) | (~node4(s307)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26153,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s307) | (~node4(s307)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26154,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s307) | (~node4(s307))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26153, 26152])).
% 14.40/10.14 tff(26155,plain,
% 14.40/10.14 (m_main_v_request(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26154, 21, 26151])).
% 14.40/10.14 tff(26156,plain,
% 14.40/10.14 (succ(s307, s308) <=> succ(s307, s308)),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26157,axiom,(succ(s307, s308)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound308')).
% 14.40/10.14 tff(26158,plain,
% 14.40/10.14 (succ(s307, s308)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26157, 26156])).
% 14.40/10.14 tff(26159,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26160,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26161,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 14.40/10.14 tff(26162,plain,
% 14.40/10.14 (trans(s307, s308)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26161, 26158, 52])).
% 14.40/10.14 tff(26163,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s307, s308)) | node2(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s307, s308)) | node2(s307, s308))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26164,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s307, s308)) | node2(s307, s308))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26165,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s307, s308)) | node2(s307, s308)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26164, 26163])).
% 14.40/10.14 tff(26166,plain,
% 14.40/10.14 (node2(s307, s308)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26165, 7, 26162])).
% 14.40/10.14 tff(26167,plain,
% 14.40/10.14 (((~![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(s307, c_ready)) | (~node2(s307, s308)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s307, c_ready)) | (~node2(s307, s308)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26168,plain,
% 14.40/10.14 ((~![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(s307, c_ready)) | (~node2(s307, s308)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26169,plain,
% 14.40/10.14 ((~![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(s307, c_ready)) | (~node2(s307, s308)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26168, 26167])).
% 14.40/10.14 tff(26170,plain,
% 14.40/10.14 ((~m_main_v_state(s307, c_ready)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307))),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26169, 73, 26166])).
% 14.40/10.14 tff(26171,plain,
% 14.40/10.14 (~m_main_v_state(s307, c_ready)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26170, 26155, 26150])).
% 14.40/10.14 tff(26172,plain,
% 14.40/10.14 (always3(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26081, 36, 26151])).
% 14.40/10.14 tff(26173,plain,
% 14.40/10.14 (~m_main_v_state(s307, c_busy)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26090, 85, 26172])).
% 14.40/10.14 tff(26174,plain,
% 14.40/10.14 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s307, c_busy) | m_main_v_state(s307, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s307, c_busy) | m_main_v_state(s307, c_ready))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26175,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s307, c_busy) | m_main_v_state(s307, c_ready))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26176,plain,
% 14.40/10.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s307, c_busy) | m_main_v_state(s307, c_ready)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26175, 26174])).
% 14.40/10.14 tff(26177,plain,
% 14.40/10.14 ($false),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26176, 102, 26173, 26171])).
% 14.40/10.14 tff(26178,plain,((~node4(s307)) | m_main_v_state(s308, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.40/10.14 tff(26179,plain,
% 14.40/10.14 (m_main_v_state(s308, c_busy)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26178, 26149])).
% 14.40/10.14 tff(26180,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s307, s308)) | (~always3(s307)) | always3(s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s307, s308)) | (~always3(s307)) | always3(s308))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26181,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s307, s308)) | (~always3(s307)) | always3(s308))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26182,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s307, s308)) | (~always3(s307)) | always3(s308)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26181, 26180])).
% 14.40/10.14 tff(26183,plain,
% 14.40/10.14 ((~always3(s307)) | always3(s308)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26182, 125, 26162])).
% 14.40/10.14 tff(26184,plain,
% 14.40/10.14 (always3(s308)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26183, 26084])).
% 14.40/10.14 tff(26185,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s308)) | (~m_main_v_state(s308, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s308)) | (~m_main_v_state(s308, c_busy)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26186,plain,
% 14.40/10.14 (((~m_main_v_state(s308, c_busy)) | (~always3(s308))) <=> ((~always3(s308)) | (~m_main_v_state(s308, c_busy)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26187,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s308, c_busy)) | (~always3(s308)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s308)) | (~m_main_v_state(s308, c_busy))))),
% 14.40/10.14 inference(monotonicity,[status(thm)],[26186])).
% 14.40/10.14 tff(26188,plain,
% 14.40/10.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s308, c_busy)) | (~always3(s308)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s308)) | (~m_main_v_state(s308, c_busy)))),
% 14.40/10.14 inference(transitivity,[status(thm)],[26187, 26185])).
% 14.40/10.14 tff(26189,plain,
% 14.40/10.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s308, c_busy)) | (~always3(s308)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26190,plain,
% 14.40/10.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s308)) | (~m_main_v_state(s308, c_busy))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26189, 26188])).
% 14.40/10.14 tff(26191,plain,
% 14.40/10.14 ($false),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26190, 85, 26184, 26179])).
% 14.40/10.14 tff(26192,plain,(xuntil6(s307) | (~until5(s305))), inference(lemma,lemma(discharge,[]))).
% 14.40/10.14 tff(26193,plain,
% 14.40/10.14 (xuntil6(s307)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26192, 26002])).
% 14.40/10.14 tff(26194,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26195,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26196,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26195, 26194])).
% 14.40/10.14 tff(26197,plain,
% 14.40/10.14 ((~xuntil6(s307)) | until5(s308)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26196, 26158, 312])).
% 14.40/10.14 tff(26198,plain,
% 14.40/10.14 (until5(s308)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26197, 26193])).
% 14.40/10.14 tff(26199,assumption,(until5(s308)), introduced(assumption)).
% 14.40/10.14 tff(26200,assumption,(~always3(s396)), introduced(assumption)).
% 14.40/10.14 tff(26201,plain,
% 14.40/10.14 (succ(s395, s396) <=> succ(s395, s396)),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26202,axiom,(succ(s395, s396)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound396')).
% 14.40/10.14 tff(26203,plain,
% 14.40/10.14 (succ(s395, s396)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26202, 26201])).
% 14.40/10.14 tff(26204,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s395, s396)) | trans(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s395, s396)) | trans(s395, s396))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26205,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s395, s396)) | trans(s395, s396))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26206,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s395, s396)) | trans(s395, s396)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26205, 26204])).
% 14.40/10.14 tff(26207,plain,
% 14.40/10.14 (trans(s395, s396)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26206, 26203, 52])).
% 14.40/10.14 tff(26208,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s395, s396)) | (~always3(s395)) | always3(s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s395, s396)) | (~always3(s395)) | always3(s396))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26209,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s395, s396)) | (~always3(s395)) | always3(s396))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26210,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s395, s396)) | (~always3(s395)) | always3(s396)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26209, 26208])).
% 14.40/10.14 tff(26211,plain,
% 14.40/10.14 ((~always3(s395)) | always3(s396)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26210, 125, 26207])).
% 14.40/10.14 tff(26212,plain,
% 14.40/10.14 (~always3(s395)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26211, 26200])).
% 14.40/10.14 tff(26213,plain,
% 14.40/10.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s395) | (~node4(s395)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s395) | (~node4(s395)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26214,plain,
% 14.40/10.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s395) | (~node4(s395)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26215,plain,
% 14.40/10.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s395) | (~node4(s395))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26214, 26213])).
% 14.40/10.14 tff(26216,plain,
% 14.40/10.14 (~node4(s395)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26215, 36, 26212])).
% 14.40/10.14 tff(26217,plain,
% 14.40/10.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s396) | (~node4(s396)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s396) | (~node4(s396)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26218,plain,
% 14.40/10.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s396) | (~node4(s396)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26219,plain,
% 14.40/10.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s396) | (~node4(s396))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26218, 26217])).
% 14.40/10.14 tff(26220,plain,
% 14.40/10.14 (~node4(s396)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26219, 36, 26200])).
% 14.40/10.14 tff(26221,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s396) | node4(s396) | (~until5(s396)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s396) | node4(s396) | (~until5(s396)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26222,plain,
% 14.40/10.14 ((node4(s396) | (~until5(s396)) | xuntil6(s396)) <=> (xuntil6(s396) | node4(s396) | (~until5(s396)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26223,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s396) | (~until5(s396)) | xuntil6(s396))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s396) | node4(s396) | (~until5(s396))))),
% 14.40/10.14 inference(monotonicity,[status(thm)],[26222])).
% 14.40/10.14 tff(26224,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s396) | (~until5(s396)) | xuntil6(s396))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s396) | node4(s396) | (~until5(s396)))),
% 14.40/10.14 inference(transitivity,[status(thm)],[26223, 26221])).
% 14.40/10.14 tff(26225,plain,
% 14.40/10.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s396) | (~until5(s396)) | xuntil6(s396))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26226,plain,
% 14.40/10.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s396) | node4(s396) | (~until5(s396))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 14.40/10.14 tff(26227,plain,
% 14.40/10.14 (node4(s396) | (~until5(s396))),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26226, 294, 28])).
% 14.40/10.14 tff(26228,plain,
% 14.40/10.14 (~until5(s396)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26227, 26220])).
% 14.40/10.14 tff(26229,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s395, s396)) | (~xuntil6(s395)) | until5(s396))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s395, s396)) | (~xuntil6(s395)) | until5(s396))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26230,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s395, s396)) | (~xuntil6(s395)) | until5(s396))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26231,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s395, s396)) | (~xuntil6(s395)) | until5(s396)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26230, 26229])).
% 14.40/10.14 tff(26232,plain,
% 14.40/10.14 ((~xuntil6(s395)) | until5(s396)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26231, 26203, 312])).
% 14.40/10.14 tff(26233,plain,
% 14.40/10.14 (~xuntil6(s395)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26232, 26228])).
% 14.40/10.14 tff(26234,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s395) | node4(s395) | (~until5(s395)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s395) | node4(s395) | (~until5(s395)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26235,plain,
% 14.40/10.14 ((node4(s395) | (~until5(s395)) | xuntil6(s395)) <=> (xuntil6(s395) | node4(s395) | (~until5(s395)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26236,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s395) | (~until5(s395)) | xuntil6(s395))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s395) | node4(s395) | (~until5(s395))))),
% 14.40/10.14 inference(monotonicity,[status(thm)],[26235])).
% 14.40/10.14 tff(26237,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s395) | (~until5(s395)) | xuntil6(s395))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s395) | node4(s395) | (~until5(s395)))),
% 14.40/10.14 inference(transitivity,[status(thm)],[26236, 26234])).
% 14.40/10.14 tff(26238,plain,
% 14.40/10.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s395) | (~until5(s395)) | xuntil6(s395))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26239,plain,
% 14.40/10.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s395) | node4(s395) | (~until5(s395))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26238, 26237])).
% 14.40/10.14 tff(26240,plain,
% 14.40/10.14 (~until5(s395)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26239, 294, 26233, 26216])).
% 14.40/10.14 tff(26241,plain,
% 14.40/10.14 (succ(s394, s395) <=> succ(s394, s395)),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26242,axiom,(succ(s394, s395)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound395')).
% 14.40/10.14 tff(26243,plain,
% 14.40/10.14 (succ(s394, s395)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26242, 26241])).
% 14.40/10.14 tff(26244,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s394, s395)) | (~xuntil6(s394)) | until5(s395))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s394, s395)) | (~xuntil6(s394)) | until5(s395))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26245,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s394, s395)) | (~xuntil6(s394)) | until5(s395))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26246,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s394, s395)) | (~xuntil6(s394)) | until5(s395)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26245, 26244])).
% 14.40/10.14 tff(26247,plain,
% 14.40/10.14 ((~xuntil6(s394)) | until5(s395)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26246, 26243, 312])).
% 14.40/10.14 tff(26248,plain,
% 14.40/10.14 (~xuntil6(s394)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26247, 26240])).
% 14.40/10.14 tff(26249,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s394, s395)) | trans(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s394, s395)) | trans(s394, s395))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26250,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s394, s395)) | trans(s394, s395))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26251,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s394, s395)) | trans(s394, s395)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26250, 26249])).
% 14.40/10.14 tff(26252,plain,
% 14.40/10.14 (trans(s394, s395)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26251, 26243, 52])).
% 14.40/10.14 tff(26253,plain,
% 14.40/10.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s394, s395)) | (~always3(s394)) | always3(s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s394, s395)) | (~always3(s394)) | always3(s395))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26254,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s394, s395)) | (~always3(s394)) | always3(s395))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26255,plain,
% 14.40/10.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s394, s395)) | (~always3(s394)) | always3(s395)),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26254, 26253])).
% 14.40/10.14 tff(26256,plain,
% 14.40/10.14 ((~always3(s394)) | always3(s395)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26255, 125, 26252])).
% 14.40/10.14 tff(26257,plain,
% 14.40/10.14 (~always3(s394)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26256, 26212])).
% 14.40/10.14 tff(26258,plain,
% 14.40/10.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s394) | (~node4(s394)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s394) | (~node4(s394)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26259,plain,
% 14.40/10.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s394) | (~node4(s394)))),
% 14.40/10.14 inference(quant_inst,[status(thm)],[])).
% 14.40/10.14 tff(26260,plain,
% 14.40/10.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s394) | (~node4(s394))),
% 14.40/10.14 inference(modus_ponens,[status(thm)],[26259, 26258])).
% 14.40/10.14 tff(26261,plain,
% 14.40/10.14 (~node4(s394)),
% 14.40/10.14 inference(unit_resolution,[status(thm)],[26260, 36, 26257])).
% 14.40/10.14 tff(26262,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s394) | node4(s394) | (~until5(s394)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s394) | node4(s394) | (~until5(s394)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26263,plain,
% 14.40/10.14 ((node4(s394) | (~until5(s394)) | xuntil6(s394)) <=> (xuntil6(s394) | node4(s394) | (~until5(s394)))),
% 14.40/10.14 inference(rewrite,[status(thm)],[])).
% 14.40/10.14 tff(26264,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s394) | (~until5(s394)) | xuntil6(s394))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s394) | node4(s394) | (~until5(s394))))),
% 14.40/10.14 inference(monotonicity,[status(thm)],[26263])).
% 14.40/10.14 tff(26265,plain,
% 14.40/10.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s394) | (~until5(s394)) | xuntil6(s394))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s394) | node4(s394) | (~until5(s394)))),
% 14.40/10.14 inference(transitivity,[status(thm)],[26264, 26262])).
% 14.40/10.15 tff(26266,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s394) | (~until5(s394)) | xuntil6(s394))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26267,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s394) | node4(s394) | (~until5(s394))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26266, 26265])).
% 14.40/10.15 tff(26268,plain,
% 14.40/10.15 (xuntil6(s394) | (~until5(s394))),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26267, 294, 26261])).
% 14.40/10.15 tff(26269,plain,
% 14.40/10.15 (~until5(s394)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26268, 26248])).
% 14.40/10.15 tff(26270,plain,
% 14.40/10.15 (succ(s393, s394) <=> succ(s393, s394)),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26271,axiom,(succ(s393, s394)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound394')).
% 14.40/10.15 tff(26272,plain,
% 14.40/10.15 (succ(s393, s394)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26271, 26270])).
% 14.40/10.15 tff(26273,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s393, s394)) | (~xuntil6(s393)) | until5(s394))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s393, s394)) | (~xuntil6(s393)) | until5(s394))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26274,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s393, s394)) | (~xuntil6(s393)) | until5(s394))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26275,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s393, s394)) | (~xuntil6(s393)) | until5(s394)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26274, 26273])).
% 14.40/10.15 tff(26276,plain,
% 14.40/10.15 ((~xuntil6(s393)) | until5(s394)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26275, 26272, 312])).
% 14.40/10.15 tff(26277,plain,
% 14.40/10.15 (~xuntil6(s393)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26276, 26269])).
% 14.40/10.15 tff(26278,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s393, s394)) | trans(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s393, s394)) | trans(s393, s394))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26279,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s393, s394)) | trans(s393, s394))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26280,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s393, s394)) | trans(s393, s394)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 14.40/10.15 tff(26281,plain,
% 14.40/10.15 (trans(s393, s394)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26280, 26272, 52])).
% 14.40/10.15 tff(26282,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s393, s394)) | (~always3(s393)) | always3(s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s393, s394)) | (~always3(s393)) | always3(s394))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26283,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s393, s394)) | (~always3(s393)) | always3(s394))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26284,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s393, s394)) | (~always3(s393)) | always3(s394)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26283, 26282])).
% 14.40/10.15 tff(26285,plain,
% 14.40/10.15 ((~always3(s393)) | always3(s394)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26284, 125, 26281])).
% 14.40/10.15 tff(26286,plain,
% 14.40/10.15 (~always3(s393)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26285, 26257])).
% 14.40/10.15 tff(26287,plain,
% 14.40/10.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s393) | (~node4(s393)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s393) | (~node4(s393)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26288,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s393) | (~node4(s393)))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26289,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s393) | (~node4(s393))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26288, 26287])).
% 14.40/10.15 tff(26290,plain,
% 14.40/10.15 (~node4(s393)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26289, 36, 26286])).
% 14.40/10.15 tff(26291,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s393) | node4(s393) | (~until5(s393)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s393) | node4(s393) | (~until5(s393)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26292,plain,
% 14.40/10.15 ((node4(s393) | (~until5(s393)) | xuntil6(s393)) <=> (xuntil6(s393) | node4(s393) | (~until5(s393)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26293,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s393) | (~until5(s393)) | xuntil6(s393))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s393) | node4(s393) | (~until5(s393))))),
% 14.40/10.15 inference(monotonicity,[status(thm)],[26292])).
% 14.40/10.15 tff(26294,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s393) | (~until5(s393)) | xuntil6(s393))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s393) | node4(s393) | (~until5(s393)))),
% 14.40/10.15 inference(transitivity,[status(thm)],[26293, 26291])).
% 14.40/10.15 tff(26295,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s393) | (~until5(s393)) | xuntil6(s393))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26296,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s393) | node4(s393) | (~until5(s393))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 14.40/10.15 tff(26297,plain,
% 14.40/10.15 (xuntil6(s393) | (~until5(s393))),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26296, 294, 26290])).
% 14.40/10.15 tff(26298,plain,
% 14.40/10.15 (~until5(s393)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26297, 26277])).
% 14.40/10.15 tff(26299,plain,
% 14.40/10.15 (succ(s392, s393) <=> succ(s392, s393)),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26300,axiom,(succ(s392, s393)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound393')).
% 14.40/10.15 tff(26301,plain,
% 14.40/10.15 (succ(s392, s393)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26300, 26299])).
% 14.40/10.15 tff(26302,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s392, s393)) | (~xuntil6(s392)) | until5(s393))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s392, s393)) | (~xuntil6(s392)) | until5(s393))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26303,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s392, s393)) | (~xuntil6(s392)) | until5(s393))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26304,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s392, s393)) | (~xuntil6(s392)) | until5(s393)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26303, 26302])).
% 14.40/10.15 tff(26305,plain,
% 14.40/10.15 ((~xuntil6(s392)) | until5(s393)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26304, 26301, 312])).
% 14.40/10.15 tff(26306,plain,
% 14.40/10.15 (~xuntil6(s392)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26305, 26298])).
% 14.40/10.15 tff(26307,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s392, s393)) | trans(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s392, s393)) | trans(s392, s393))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26308,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s392, s393)) | trans(s392, s393))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26309,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s392, s393)) | trans(s392, s393)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26308, 26307])).
% 14.40/10.15 tff(26310,plain,
% 14.40/10.15 (trans(s392, s393)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26309, 26301, 52])).
% 14.40/10.15 tff(26311,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s392, s393)) | (~always3(s392)) | always3(s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s392, s393)) | (~always3(s392)) | always3(s393))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26312,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s392, s393)) | (~always3(s392)) | always3(s393))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26313,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s392, s393)) | (~always3(s392)) | always3(s393)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26312, 26311])).
% 14.40/10.15 tff(26314,plain,
% 14.40/10.15 ((~always3(s392)) | always3(s393)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26313, 125, 26310])).
% 14.40/10.15 tff(26315,plain,
% 14.40/10.15 (~always3(s392)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26314, 26286])).
% 14.40/10.15 tff(26316,plain,
% 14.40/10.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s392) | (~node4(s392)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s392) | (~node4(s392)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26317,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s392) | (~node4(s392)))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26318,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s392) | (~node4(s392))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26317, 26316])).
% 14.40/10.15 tff(26319,plain,
% 14.40/10.15 (~node4(s392)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26318, 36, 26315])).
% 14.40/10.15 tff(26320,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s392) | node4(s392) | (~until5(s392)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s392) | node4(s392) | (~until5(s392)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26321,plain,
% 14.40/10.15 ((node4(s392) | (~until5(s392)) | xuntil6(s392)) <=> (xuntil6(s392) | node4(s392) | (~until5(s392)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26322,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s392) | (~until5(s392)) | xuntil6(s392))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s392) | node4(s392) | (~until5(s392))))),
% 14.40/10.15 inference(monotonicity,[status(thm)],[26321])).
% 14.40/10.15 tff(26323,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s392) | (~until5(s392)) | xuntil6(s392))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s392) | node4(s392) | (~until5(s392)))),
% 14.40/10.15 inference(transitivity,[status(thm)],[26322, 26320])).
% 14.40/10.15 tff(26324,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s392) | (~until5(s392)) | xuntil6(s392))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26325,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s392) | node4(s392) | (~until5(s392))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26324, 26323])).
% 14.40/10.15 tff(26326,plain,
% 14.40/10.15 (xuntil6(s392) | (~until5(s392))),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26325, 294, 26319])).
% 14.40/10.15 tff(26327,plain,
% 14.40/10.15 (~until5(s392)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26326, 26306])).
% 14.40/10.15 tff(26328,plain,
% 14.40/10.15 (succ(s391, s392) <=> succ(s391, s392)),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26329,axiom,(succ(s391, s392)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound392')).
% 14.40/10.15 tff(26330,plain,
% 14.40/10.15 (succ(s391, s392)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26329, 26328])).
% 14.40/10.15 tff(26331,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s391, s392)) | (~xuntil6(s391)) | until5(s392))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s391, s392)) | (~xuntil6(s391)) | until5(s392))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26332,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s391, s392)) | (~xuntil6(s391)) | until5(s392))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26333,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s391, s392)) | (~xuntil6(s391)) | until5(s392)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26332, 26331])).
% 14.40/10.15 tff(26334,plain,
% 14.40/10.15 ((~xuntil6(s391)) | until5(s392)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26333, 26330, 312])).
% 14.40/10.15 tff(26335,plain,
% 14.40/10.15 (~xuntil6(s391)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26334, 26327])).
% 14.40/10.15 tff(26336,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s391, s392)) | trans(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s391, s392)) | trans(s391, s392))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26337,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s391, s392)) | trans(s391, s392))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26338,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s391, s392)) | trans(s391, s392)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26337, 26336])).
% 14.40/10.15 tff(26339,plain,
% 14.40/10.15 (trans(s391, s392)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26338, 26330, 52])).
% 14.40/10.15 tff(26340,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s391, s392)) | (~always3(s391)) | always3(s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s391, s392)) | (~always3(s391)) | always3(s392))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26341,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s391, s392)) | (~always3(s391)) | always3(s392))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26342,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s391, s392)) | (~always3(s391)) | always3(s392)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26341, 26340])).
% 14.40/10.15 tff(26343,plain,
% 14.40/10.15 ((~always3(s391)) | always3(s392)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26342, 125, 26339])).
% 14.40/10.15 tff(26344,plain,
% 14.40/10.15 (~always3(s391)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26343, 26315])).
% 14.40/10.15 tff(26345,plain,
% 14.40/10.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s391) | (~node4(s391)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s391) | (~node4(s391)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26346,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s391) | (~node4(s391)))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26347,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s391) | (~node4(s391))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26346, 26345])).
% 14.40/10.15 tff(26348,plain,
% 14.40/10.15 (~node4(s391)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26347, 36, 26344])).
% 14.40/10.15 tff(26349,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s391) | node4(s391) | (~until5(s391)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s391) | node4(s391) | (~until5(s391)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26350,plain,
% 14.40/10.15 ((node4(s391) | (~until5(s391)) | xuntil6(s391)) <=> (xuntil6(s391) | node4(s391) | (~until5(s391)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26351,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s391) | (~until5(s391)) | xuntil6(s391))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s391) | node4(s391) | (~until5(s391))))),
% 14.40/10.15 inference(monotonicity,[status(thm)],[26350])).
% 14.40/10.15 tff(26352,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s391) | (~until5(s391)) | xuntil6(s391))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s391) | node4(s391) | (~until5(s391)))),
% 14.40/10.15 inference(transitivity,[status(thm)],[26351, 26349])).
% 14.40/10.15 tff(26353,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s391) | (~until5(s391)) | xuntil6(s391))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26354,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s391) | node4(s391) | (~until5(s391))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26353, 26352])).
% 14.40/10.15 tff(26355,plain,
% 14.40/10.15 (xuntil6(s391) | (~until5(s391))),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26354, 294, 26348])).
% 14.40/10.15 tff(26356,plain,
% 14.40/10.15 (~until5(s391)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26355, 26335])).
% 14.40/10.15 tff(26357,plain,
% 14.40/10.15 (succ(s390, s391) <=> succ(s390, s391)),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26358,axiom,(succ(s390, s391)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound391')).
% 14.40/10.15 tff(26359,plain,
% 14.40/10.15 (succ(s390, s391)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26358, 26357])).
% 14.40/10.15 tff(26360,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s390, s391)) | (~xuntil6(s390)) | until5(s391))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s390, s391)) | (~xuntil6(s390)) | until5(s391))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26361,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s390, s391)) | (~xuntil6(s390)) | until5(s391))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26362,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s390, s391)) | (~xuntil6(s390)) | until5(s391)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26361, 26360])).
% 14.40/10.15 tff(26363,plain,
% 14.40/10.15 ((~xuntil6(s390)) | until5(s391)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26362, 26359, 312])).
% 14.40/10.15 tff(26364,plain,
% 14.40/10.15 (~xuntil6(s390)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26363, 26356])).
% 14.40/10.15 tff(26365,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s390, s391)) | trans(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s390, s391)) | trans(s390, s391))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26366,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s390, s391)) | trans(s390, s391))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26367,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s390, s391)) | trans(s390, s391)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26366, 26365])).
% 14.40/10.15 tff(26368,plain,
% 14.40/10.15 (trans(s390, s391)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26367, 26359, 52])).
% 14.40/10.15 tff(26369,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s390, s391)) | (~always3(s390)) | always3(s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s390, s391)) | (~always3(s390)) | always3(s391))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26370,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s390, s391)) | (~always3(s390)) | always3(s391))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26371,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s390, s391)) | (~always3(s390)) | always3(s391)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26370, 26369])).
% 14.40/10.15 tff(26372,plain,
% 14.40/10.15 ((~always3(s390)) | always3(s391)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26371, 125, 26368])).
% 14.40/10.15 tff(26373,plain,
% 14.40/10.15 (~always3(s390)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26372, 26344])).
% 14.40/10.15 tff(26374,plain,
% 14.40/10.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s390) | (~node4(s390)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s390) | (~node4(s390)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26375,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s390) | (~node4(s390)))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26376,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s390) | (~node4(s390))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26375, 26374])).
% 14.40/10.15 tff(26377,plain,
% 14.40/10.15 (~node4(s390)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26376, 36, 26373])).
% 14.40/10.15 tff(26378,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s390) | node4(s390) | (~until5(s390)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s390) | node4(s390) | (~until5(s390)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26379,plain,
% 14.40/10.15 ((node4(s390) | (~until5(s390)) | xuntil6(s390)) <=> (xuntil6(s390) | node4(s390) | (~until5(s390)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26380,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s390) | (~until5(s390)) | xuntil6(s390))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s390) | node4(s390) | (~until5(s390))))),
% 14.40/10.15 inference(monotonicity,[status(thm)],[26379])).
% 14.40/10.15 tff(26381,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s390) | (~until5(s390)) | xuntil6(s390))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s390) | node4(s390) | (~until5(s390)))),
% 14.40/10.15 inference(transitivity,[status(thm)],[26380, 26378])).
% 14.40/10.15 tff(26382,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s390) | (~until5(s390)) | xuntil6(s390))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26383,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s390) | node4(s390) | (~until5(s390))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26382, 26381])).
% 14.40/10.15 tff(26384,plain,
% 14.40/10.15 (xuntil6(s390) | (~until5(s390))),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26383, 294, 26377])).
% 14.40/10.15 tff(26385,plain,
% 14.40/10.15 (~until5(s390)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26384, 26364])).
% 14.40/10.15 tff(26386,plain,
% 14.40/10.15 (succ(s389, s390) <=> succ(s389, s390)),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26387,axiom,(succ(s389, s390)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound390')).
% 14.40/10.15 tff(26388,plain,
% 14.40/10.15 (succ(s389, s390)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26387, 26386])).
% 14.40/10.15 tff(26389,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s389, s390)) | (~xuntil6(s389)) | until5(s390))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s389, s390)) | (~xuntil6(s389)) | until5(s390))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26390,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s389, s390)) | (~xuntil6(s389)) | until5(s390))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26391,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s389, s390)) | (~xuntil6(s389)) | until5(s390)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26390, 26389])).
% 14.40/10.15 tff(26392,plain,
% 14.40/10.15 ((~xuntil6(s389)) | until5(s390)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26391, 26388, 312])).
% 14.40/10.15 tff(26393,plain,
% 14.40/10.15 (~xuntil6(s389)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26392, 26385])).
% 14.40/10.15 tff(26394,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s389, s390)) | trans(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s389, s390)) | trans(s389, s390))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26395,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s389, s390)) | trans(s389, s390))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26396,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s389, s390)) | trans(s389, s390)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26395, 26394])).
% 14.40/10.15 tff(26397,plain,
% 14.40/10.15 (trans(s389, s390)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26396, 26388, 52])).
% 14.40/10.15 tff(26398,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s389, s390)) | (~always3(s389)) | always3(s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s389, s390)) | (~always3(s389)) | always3(s390))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26399,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s389, s390)) | (~always3(s389)) | always3(s390))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26400,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s389, s390)) | (~always3(s389)) | always3(s390)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26399, 26398])).
% 14.40/10.15 tff(26401,plain,
% 14.40/10.15 ((~always3(s389)) | always3(s390)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26400, 125, 26397])).
% 14.40/10.15 tff(26402,plain,
% 14.40/10.15 (~always3(s389)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26401, 26373])).
% 14.40/10.15 tff(26403,plain,
% 14.40/10.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s389) | (~node4(s389)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s389) | (~node4(s389)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26404,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s389) | (~node4(s389)))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26405,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s389) | (~node4(s389))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26404, 26403])).
% 14.40/10.15 tff(26406,plain,
% 14.40/10.15 (~node4(s389)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26405, 36, 26402])).
% 14.40/10.15 tff(26407,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s389) | node4(s389) | (~until5(s389)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s389) | node4(s389) | (~until5(s389)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26408,plain,
% 14.40/10.15 ((node4(s389) | (~until5(s389)) | xuntil6(s389)) <=> (xuntil6(s389) | node4(s389) | (~until5(s389)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26409,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s389) | (~until5(s389)) | xuntil6(s389))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s389) | node4(s389) | (~until5(s389))))),
% 14.40/10.15 inference(monotonicity,[status(thm)],[26408])).
% 14.40/10.15 tff(26410,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s389) | (~until5(s389)) | xuntil6(s389))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s389) | node4(s389) | (~until5(s389)))),
% 14.40/10.15 inference(transitivity,[status(thm)],[26409, 26407])).
% 14.40/10.15 tff(26411,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s389) | (~until5(s389)) | xuntil6(s389))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26412,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s389) | node4(s389) | (~until5(s389))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26411, 26410])).
% 14.40/10.15 tff(26413,plain,
% 14.40/10.15 (xuntil6(s389) | (~until5(s389))),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26412, 294, 26406])).
% 14.40/10.15 tff(26414,plain,
% 14.40/10.15 (~until5(s389)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26413, 26393])).
% 14.40/10.15 tff(26415,plain,
% 14.40/10.15 (succ(s388, s389) <=> succ(s388, s389)),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26416,axiom,(succ(s388, s389)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound389')).
% 14.40/10.15 tff(26417,plain,
% 14.40/10.15 (succ(s388, s389)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 14.40/10.15 tff(26418,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s388, s389)) | (~xuntil6(s388)) | until5(s389))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s388, s389)) | (~xuntil6(s388)) | until5(s389))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26419,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s388, s389)) | (~xuntil6(s388)) | until5(s389))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26420,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s388, s389)) | (~xuntil6(s388)) | until5(s389)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26419, 26418])).
% 14.40/10.15 tff(26421,plain,
% 14.40/10.15 ((~xuntil6(s388)) | until5(s389)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26420, 26417, 312])).
% 14.40/10.15 tff(26422,plain,
% 14.40/10.15 (~xuntil6(s388)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26421, 26414])).
% 14.40/10.15 tff(26423,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s388, s389)) | trans(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s388, s389)) | trans(s388, s389))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26424,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s388, s389)) | trans(s388, s389))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26425,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s388, s389)) | trans(s388, s389)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26424, 26423])).
% 14.40/10.15 tff(26426,plain,
% 14.40/10.15 (trans(s388, s389)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26425, 26417, 52])).
% 14.40/10.15 tff(26427,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s388, s389)) | (~always3(s388)) | always3(s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s388, s389)) | (~always3(s388)) | always3(s389))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26428,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s388, s389)) | (~always3(s388)) | always3(s389))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26429,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s388, s389)) | (~always3(s388)) | always3(s389)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 14.40/10.15 tff(26430,plain,
% 14.40/10.15 ((~always3(s388)) | always3(s389)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26429, 125, 26426])).
% 14.40/10.15 tff(26431,plain,
% 14.40/10.15 (~always3(s388)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26430, 26402])).
% 14.40/10.15 tff(26432,plain,
% 14.40/10.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s388) | (~node4(s388)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s388) | (~node4(s388)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26433,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s388) | (~node4(s388)))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26434,plain,
% 14.40/10.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s388) | (~node4(s388))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26433, 26432])).
% 14.40/10.15 tff(26435,plain,
% 14.40/10.15 (~node4(s388)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26434, 36, 26431])).
% 14.40/10.15 tff(26436,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s388) | node4(s388) | (~until5(s388)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s388) | node4(s388) | (~until5(s388)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26437,plain,
% 14.40/10.15 ((node4(s388) | (~until5(s388)) | xuntil6(s388)) <=> (xuntil6(s388) | node4(s388) | (~until5(s388)))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26438,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s388) | (~until5(s388)) | xuntil6(s388))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s388) | node4(s388) | (~until5(s388))))),
% 14.40/10.15 inference(monotonicity,[status(thm)],[26437])).
% 14.40/10.15 tff(26439,plain,
% 14.40/10.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s388) | (~until5(s388)) | xuntil6(s388))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s388) | node4(s388) | (~until5(s388)))),
% 14.40/10.15 inference(transitivity,[status(thm)],[26438, 26436])).
% 14.40/10.15 tff(26440,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s388) | (~until5(s388)) | xuntil6(s388))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26441,plain,
% 14.40/10.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s388) | node4(s388) | (~until5(s388))),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26440, 26439])).
% 14.40/10.15 tff(26442,plain,
% 14.40/10.15 (xuntil6(s388) | (~until5(s388))),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26441, 294, 26435])).
% 14.40/10.15 tff(26443,plain,
% 14.40/10.15 (~until5(s388)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26442, 26422])).
% 14.40/10.15 tff(26444,plain,
% 14.40/10.15 (succ(s387, s388) <=> succ(s387, s388)),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26445,axiom,(succ(s387, s388)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound388')).
% 14.40/10.15 tff(26446,plain,
% 14.40/10.15 (succ(s387, s388)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26445, 26444])).
% 14.40/10.15 tff(26447,plain,
% 14.40/10.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s387, s388)) | (~xuntil6(s387)) | until5(s388))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s387, s388)) | (~xuntil6(s387)) | until5(s388))),
% 14.40/10.15 inference(rewrite,[status(thm)],[])).
% 14.40/10.15 tff(26448,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s387, s388)) | (~xuntil6(s387)) | until5(s388))),
% 14.40/10.15 inference(quant_inst,[status(thm)],[])).
% 14.40/10.15 tff(26449,plain,
% 14.40/10.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s387, s388)) | (~xuntil6(s387)) | until5(s388)),
% 14.40/10.15 inference(modus_ponens,[status(thm)],[26448, 26447])).
% 14.40/10.15 tff(26450,plain,
% 14.40/10.15 ((~xuntil6(s387)) | until5(s388)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26449, 26446, 312])).
% 14.40/10.15 tff(26451,plain,
% 14.40/10.15 (~xuntil6(s387)),
% 14.40/10.15 inference(unit_resolution,[status(thm)],[26450, 26443])).
% 14.40/10.16 tff(26452,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s387, s388)) | trans(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s387, s388)) | trans(s387, s388))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26453,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s387, s388)) | trans(s387, s388))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26454,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s387, s388)) | trans(s387, s388)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26453, 26452])).
% 14.40/10.16 tff(26455,plain,
% 14.40/10.16 (trans(s387, s388)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26454, 26446, 52])).
% 14.40/10.16 tff(26456,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s387, s388)) | (~always3(s387)) | always3(s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s387, s388)) | (~always3(s387)) | always3(s388))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26457,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s387, s388)) | (~always3(s387)) | always3(s388))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26458,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s387, s388)) | (~always3(s387)) | always3(s388)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26457, 26456])).
% 14.40/10.16 tff(26459,plain,
% 14.40/10.16 ((~always3(s387)) | always3(s388)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26458, 125, 26455])).
% 14.40/10.16 tff(26460,plain,
% 14.40/10.16 (~always3(s387)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26459, 26431])).
% 14.40/10.16 tff(26461,plain,
% 14.40/10.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s387) | (~node4(s387)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s387) | (~node4(s387)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26462,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s387) | (~node4(s387)))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26463,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s387) | (~node4(s387))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26462, 26461])).
% 14.40/10.16 tff(26464,plain,
% 14.40/10.16 (~node4(s387)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26463, 36, 26460])).
% 14.40/10.16 tff(26465,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s387) | node4(s387) | (~until5(s387)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s387) | node4(s387) | (~until5(s387)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26466,plain,
% 14.40/10.16 ((node4(s387) | (~until5(s387)) | xuntil6(s387)) <=> (xuntil6(s387) | node4(s387) | (~until5(s387)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26467,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s387) | (~until5(s387)) | xuntil6(s387))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s387) | node4(s387) | (~until5(s387))))),
% 14.40/10.16 inference(monotonicity,[status(thm)],[26466])).
% 14.40/10.16 tff(26468,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s387) | (~until5(s387)) | xuntil6(s387))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s387) | node4(s387) | (~until5(s387)))),
% 14.40/10.16 inference(transitivity,[status(thm)],[26467, 26465])).
% 14.40/10.16 tff(26469,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s387) | (~until5(s387)) | xuntil6(s387))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26470,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s387) | node4(s387) | (~until5(s387))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 14.40/10.16 tff(26471,plain,
% 14.40/10.16 (xuntil6(s387) | (~until5(s387))),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26470, 294, 26464])).
% 14.40/10.16 tff(26472,plain,
% 14.40/10.16 (~until5(s387)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26471, 26451])).
% 14.40/10.16 tff(26473,plain,
% 14.40/10.16 (succ(s386, s387) <=> succ(s386, s387)),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26474,axiom,(succ(s386, s387)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound387')).
% 14.40/10.16 tff(26475,plain,
% 14.40/10.16 (succ(s386, s387)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26474, 26473])).
% 14.40/10.16 tff(26476,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s386, s387)) | (~xuntil6(s386)) | until5(s387))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s386, s387)) | (~xuntil6(s386)) | until5(s387))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26477,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s386, s387)) | (~xuntil6(s386)) | until5(s387))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26478,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s386, s387)) | (~xuntil6(s386)) | until5(s387)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26477, 26476])).
% 14.40/10.16 tff(26479,plain,
% 14.40/10.16 ((~xuntil6(s386)) | until5(s387)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26478, 26475, 312])).
% 14.40/10.16 tff(26480,plain,
% 14.40/10.16 (~xuntil6(s386)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26479, 26472])).
% 14.40/10.16 tff(26481,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s386, s387)) | trans(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s386, s387)) | trans(s386, s387))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26482,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s386, s387)) | trans(s386, s387))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26483,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s386, s387)) | trans(s386, s387)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26482, 26481])).
% 14.40/10.16 tff(26484,plain,
% 14.40/10.16 (trans(s386, s387)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26483, 26475, 52])).
% 14.40/10.16 tff(26485,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s386, s387)) | (~always3(s386)) | always3(s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s386, s387)) | (~always3(s386)) | always3(s387))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26486,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s386, s387)) | (~always3(s386)) | always3(s387))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26487,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s386, s387)) | (~always3(s386)) | always3(s387)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26486, 26485])).
% 14.40/10.16 tff(26488,plain,
% 14.40/10.16 ((~always3(s386)) | always3(s387)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26487, 125, 26484])).
% 14.40/10.16 tff(26489,plain,
% 14.40/10.16 (~always3(s386)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26488, 26460])).
% 14.40/10.16 tff(26490,plain,
% 14.40/10.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s386) | (~node4(s386)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s386) | (~node4(s386)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26491,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s386) | (~node4(s386)))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26492,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s386) | (~node4(s386))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 14.40/10.16 tff(26493,plain,
% 14.40/10.16 (~node4(s386)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26492, 36, 26489])).
% 14.40/10.16 tff(26494,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s386) | node4(s386) | (~until5(s386)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s386) | node4(s386) | (~until5(s386)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26495,plain,
% 14.40/10.16 ((node4(s386) | (~until5(s386)) | xuntil6(s386)) <=> (xuntil6(s386) | node4(s386) | (~until5(s386)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26496,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s386) | (~until5(s386)) | xuntil6(s386))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s386) | node4(s386) | (~until5(s386))))),
% 14.40/10.16 inference(monotonicity,[status(thm)],[26495])).
% 14.40/10.16 tff(26497,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s386) | (~until5(s386)) | xuntil6(s386))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s386) | node4(s386) | (~until5(s386)))),
% 14.40/10.16 inference(transitivity,[status(thm)],[26496, 26494])).
% 14.40/10.16 tff(26498,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s386) | (~until5(s386)) | xuntil6(s386))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26499,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s386) | node4(s386) | (~until5(s386))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 14.40/10.16 tff(26500,plain,
% 14.40/10.16 (xuntil6(s386) | (~until5(s386))),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26499, 294, 26493])).
% 14.40/10.16 tff(26501,plain,
% 14.40/10.16 (~until5(s386)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26500, 26480])).
% 14.40/10.16 tff(26502,plain,
% 14.40/10.16 (succ(s385, s386) <=> succ(s385, s386)),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26503,axiom,(succ(s385, s386)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound386')).
% 14.40/10.16 tff(26504,plain,
% 14.40/10.16 (succ(s385, s386)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26503, 26502])).
% 14.40/10.16 tff(26505,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s385, s386)) | (~xuntil6(s385)) | until5(s386))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s385, s386)) | (~xuntil6(s385)) | until5(s386))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26506,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s385, s386)) | (~xuntil6(s385)) | until5(s386))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26507,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s385, s386)) | (~xuntil6(s385)) | until5(s386)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26506, 26505])).
% 14.40/10.16 tff(26508,plain,
% 14.40/10.16 ((~xuntil6(s385)) | until5(s386)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26507, 26504, 312])).
% 14.40/10.16 tff(26509,plain,
% 14.40/10.16 (~xuntil6(s385)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26508, 26501])).
% 14.40/10.16 tff(26510,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s385, s386)) | trans(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s385, s386)) | trans(s385, s386))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26511,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s385, s386)) | trans(s385, s386))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26512,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s385, s386)) | trans(s385, s386)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26511, 26510])).
% 14.40/10.16 tff(26513,plain,
% 14.40/10.16 (trans(s385, s386)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26512, 26504, 52])).
% 14.40/10.16 tff(26514,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s385, s386)) | (~always3(s385)) | always3(s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s385, s386)) | (~always3(s385)) | always3(s386))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26515,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s385, s386)) | (~always3(s385)) | always3(s386))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26516,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s385, s386)) | (~always3(s385)) | always3(s386)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 14.40/10.16 tff(26517,plain,
% 14.40/10.16 ((~always3(s385)) | always3(s386)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26516, 125, 26513])).
% 14.40/10.16 tff(26518,plain,
% 14.40/10.16 (~always3(s385)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26517, 26489])).
% 14.40/10.16 tff(26519,plain,
% 14.40/10.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s385) | (~node4(s385)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s385) | (~node4(s385)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26520,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s385) | (~node4(s385)))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26521,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s385) | (~node4(s385))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26520, 26519])).
% 14.40/10.16 tff(26522,plain,
% 14.40/10.16 (~node4(s385)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26521, 36, 26518])).
% 14.40/10.16 tff(26523,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s385) | node4(s385) | (~until5(s385)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s385) | node4(s385) | (~until5(s385)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26524,plain,
% 14.40/10.16 ((node4(s385) | (~until5(s385)) | xuntil6(s385)) <=> (xuntil6(s385) | node4(s385) | (~until5(s385)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26525,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s385) | (~until5(s385)) | xuntil6(s385))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s385) | node4(s385) | (~until5(s385))))),
% 14.40/10.16 inference(monotonicity,[status(thm)],[26524])).
% 14.40/10.16 tff(26526,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s385) | (~until5(s385)) | xuntil6(s385))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s385) | node4(s385) | (~until5(s385)))),
% 14.40/10.16 inference(transitivity,[status(thm)],[26525, 26523])).
% 14.40/10.16 tff(26527,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s385) | (~until5(s385)) | xuntil6(s385))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26528,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s385) | node4(s385) | (~until5(s385))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26527, 26526])).
% 14.40/10.16 tff(26529,plain,
% 14.40/10.16 (xuntil6(s385) | (~until5(s385))),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26528, 294, 26522])).
% 14.40/10.16 tff(26530,plain,
% 14.40/10.16 (~until5(s385)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26529, 26509])).
% 14.40/10.16 tff(26531,plain,
% 14.40/10.16 (succ(s384, s385) <=> succ(s384, s385)),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26532,axiom,(succ(s384, s385)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound385')).
% 14.40/10.16 tff(26533,plain,
% 14.40/10.16 (succ(s384, s385)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26532, 26531])).
% 14.40/10.16 tff(26534,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s384, s385)) | (~xuntil6(s384)) | until5(s385))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s384, s385)) | (~xuntil6(s384)) | until5(s385))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26535,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s384, s385)) | (~xuntil6(s384)) | until5(s385))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26536,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s384, s385)) | (~xuntil6(s384)) | until5(s385)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26535, 26534])).
% 14.40/10.16 tff(26537,plain,
% 14.40/10.16 ((~xuntil6(s384)) | until5(s385)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26536, 26533, 312])).
% 14.40/10.16 tff(26538,plain,
% 14.40/10.16 (~xuntil6(s384)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26537, 26530])).
% 14.40/10.16 tff(26539,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s384, s385)) | trans(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s384, s385)) | trans(s384, s385))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26540,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s384, s385)) | trans(s384, s385))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26541,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s384, s385)) | trans(s384, s385)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26540, 26539])).
% 14.40/10.16 tff(26542,plain,
% 14.40/10.16 (trans(s384, s385)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26541, 26533, 52])).
% 14.40/10.16 tff(26543,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s384, s385)) | (~always3(s384)) | always3(s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s384, s385)) | (~always3(s384)) | always3(s385))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26544,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s384, s385)) | (~always3(s384)) | always3(s385))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26545,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s384, s385)) | (~always3(s384)) | always3(s385)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 14.40/10.16 tff(26546,plain,
% 14.40/10.16 ((~always3(s384)) | always3(s385)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26545, 125, 26542])).
% 14.40/10.16 tff(26547,plain,
% 14.40/10.16 (~always3(s384)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26546, 26518])).
% 14.40/10.16 tff(26548,plain,
% 14.40/10.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s384) | (~node4(s384)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s384) | (~node4(s384)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26549,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s384) | (~node4(s384)))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26550,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s384) | (~node4(s384))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26549, 26548])).
% 14.40/10.16 tff(26551,plain,
% 14.40/10.16 (~node4(s384)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26550, 36, 26547])).
% 14.40/10.16 tff(26552,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s384) | node4(s384) | (~until5(s384)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s384) | node4(s384) | (~until5(s384)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26553,plain,
% 14.40/10.16 ((node4(s384) | (~until5(s384)) | xuntil6(s384)) <=> (xuntil6(s384) | node4(s384) | (~until5(s384)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26554,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s384) | (~until5(s384)) | xuntil6(s384))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s384) | node4(s384) | (~until5(s384))))),
% 14.40/10.16 inference(monotonicity,[status(thm)],[26553])).
% 14.40/10.16 tff(26555,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s384) | (~until5(s384)) | xuntil6(s384))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s384) | node4(s384) | (~until5(s384)))),
% 14.40/10.16 inference(transitivity,[status(thm)],[26554, 26552])).
% 14.40/10.16 tff(26556,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s384) | (~until5(s384)) | xuntil6(s384))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26557,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s384) | node4(s384) | (~until5(s384))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26556, 26555])).
% 14.40/10.16 tff(26558,plain,
% 14.40/10.16 (xuntil6(s384) | (~until5(s384))),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26557, 294, 26551])).
% 14.40/10.16 tff(26559,plain,
% 14.40/10.16 (~until5(s384)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26558, 26538])).
% 14.40/10.16 tff(26560,plain,
% 14.40/10.16 (succ(s383, s384) <=> succ(s383, s384)),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26561,axiom,(succ(s383, s384)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound384')).
% 14.40/10.16 tff(26562,plain,
% 14.40/10.16 (succ(s383, s384)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26561, 26560])).
% 14.40/10.16 tff(26563,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s383, s384)) | (~xuntil6(s383)) | until5(s384))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s383, s384)) | (~xuntil6(s383)) | until5(s384))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26564,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s383, s384)) | (~xuntil6(s383)) | until5(s384))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26565,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s383, s384)) | (~xuntil6(s383)) | until5(s384)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26564, 26563])).
% 14.40/10.16 tff(26566,plain,
% 14.40/10.16 ((~xuntil6(s383)) | until5(s384)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26565, 26562, 312])).
% 14.40/10.16 tff(26567,plain,
% 14.40/10.16 (~xuntil6(s383)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26566, 26559])).
% 14.40/10.16 tff(26568,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s383, s384)) | trans(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s383, s384)) | trans(s383, s384))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26569,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s383, s384)) | trans(s383, s384))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26570,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s383, s384)) | trans(s383, s384)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26569, 26568])).
% 14.40/10.16 tff(26571,plain,
% 14.40/10.16 (trans(s383, s384)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26570, 26562, 52])).
% 14.40/10.16 tff(26572,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s383, s384)) | (~always3(s383)) | always3(s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s383, s384)) | (~always3(s383)) | always3(s384))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26573,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s383, s384)) | (~always3(s383)) | always3(s384))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26574,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s383, s384)) | (~always3(s383)) | always3(s384)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26573, 26572])).
% 14.40/10.16 tff(26575,plain,
% 14.40/10.16 ((~always3(s383)) | always3(s384)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26574, 125, 26571])).
% 14.40/10.16 tff(26576,plain,
% 14.40/10.16 (~always3(s383)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26575, 26547])).
% 14.40/10.16 tff(26577,plain,
% 14.40/10.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s383) | (~node4(s383)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s383) | (~node4(s383)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26578,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s383) | (~node4(s383)))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26579,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s383) | (~node4(s383))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26578, 26577])).
% 14.40/10.16 tff(26580,plain,
% 14.40/10.16 (~node4(s383)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26579, 36, 26576])).
% 14.40/10.16 tff(26581,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s383) | node4(s383) | (~until5(s383)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s383) | node4(s383) | (~until5(s383)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26582,plain,
% 14.40/10.16 ((node4(s383) | (~until5(s383)) | xuntil6(s383)) <=> (xuntil6(s383) | node4(s383) | (~until5(s383)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26583,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s383) | (~until5(s383)) | xuntil6(s383))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s383) | node4(s383) | (~until5(s383))))),
% 14.40/10.16 inference(monotonicity,[status(thm)],[26582])).
% 14.40/10.16 tff(26584,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s383) | (~until5(s383)) | xuntil6(s383))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s383) | node4(s383) | (~until5(s383)))),
% 14.40/10.16 inference(transitivity,[status(thm)],[26583, 26581])).
% 14.40/10.16 tff(26585,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s383) | (~until5(s383)) | xuntil6(s383))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26586,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s383) | node4(s383) | (~until5(s383))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26585, 26584])).
% 14.40/10.16 tff(26587,plain,
% 14.40/10.16 (xuntil6(s383) | (~until5(s383))),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26586, 294, 26580])).
% 14.40/10.16 tff(26588,plain,
% 14.40/10.16 (~until5(s383)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26587, 26567])).
% 14.40/10.16 tff(26589,plain,
% 14.40/10.16 (succ(s382, s383) <=> succ(s382, s383)),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26590,axiom,(succ(s382, s383)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound383')).
% 14.40/10.16 tff(26591,plain,
% 14.40/10.16 (succ(s382, s383)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26590, 26589])).
% 14.40/10.16 tff(26592,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s382, s383)) | (~xuntil6(s382)) | until5(s383))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s382, s383)) | (~xuntil6(s382)) | until5(s383))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26593,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s382, s383)) | (~xuntil6(s382)) | until5(s383))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26594,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s382, s383)) | (~xuntil6(s382)) | until5(s383)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26593, 26592])).
% 14.40/10.16 tff(26595,plain,
% 14.40/10.16 ((~xuntil6(s382)) | until5(s383)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26594, 26591, 312])).
% 14.40/10.16 tff(26596,plain,
% 14.40/10.16 (~xuntil6(s382)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26595, 26588])).
% 14.40/10.16 tff(26597,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s382, s383)) | trans(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s382, s383)) | trans(s382, s383))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26598,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s382, s383)) | trans(s382, s383))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26599,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s382, s383)) | trans(s382, s383)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26598, 26597])).
% 14.40/10.16 tff(26600,plain,
% 14.40/10.16 (trans(s382, s383)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26599, 26591, 52])).
% 14.40/10.16 tff(26601,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s382, s383)) | (~always3(s382)) | always3(s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s382, s383)) | (~always3(s382)) | always3(s383))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26602,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s382, s383)) | (~always3(s382)) | always3(s383))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26603,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s382, s383)) | (~always3(s382)) | always3(s383)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26602, 26601])).
% 14.40/10.16 tff(26604,plain,
% 14.40/10.16 ((~always3(s382)) | always3(s383)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26603, 125, 26600])).
% 14.40/10.16 tff(26605,plain,
% 14.40/10.16 (~always3(s382)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26604, 26576])).
% 14.40/10.16 tff(26606,plain,
% 14.40/10.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s382) | (~node4(s382)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s382) | (~node4(s382)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26607,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s382) | (~node4(s382)))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26608,plain,
% 14.40/10.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s382) | (~node4(s382))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26607, 26606])).
% 14.40/10.16 tff(26609,plain,
% 14.40/10.16 (~node4(s382)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26608, 36, 26605])).
% 14.40/10.16 tff(26610,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s382) | node4(s382) | (~until5(s382)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s382) | node4(s382) | (~until5(s382)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26611,plain,
% 14.40/10.16 ((node4(s382) | (~until5(s382)) | xuntil6(s382)) <=> (xuntil6(s382) | node4(s382) | (~until5(s382)))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26612,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s382) | (~until5(s382)) | xuntil6(s382))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s382) | node4(s382) | (~until5(s382))))),
% 14.40/10.16 inference(monotonicity,[status(thm)],[26611])).
% 14.40/10.16 tff(26613,plain,
% 14.40/10.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s382) | (~until5(s382)) | xuntil6(s382))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s382) | node4(s382) | (~until5(s382)))),
% 14.40/10.16 inference(transitivity,[status(thm)],[26612, 26610])).
% 14.40/10.16 tff(26614,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s382) | (~until5(s382)) | xuntil6(s382))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26615,plain,
% 14.40/10.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s382) | node4(s382) | (~until5(s382))),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26614, 26613])).
% 14.40/10.16 tff(26616,plain,
% 14.40/10.16 (xuntil6(s382) | (~until5(s382))),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26615, 294, 26609])).
% 14.40/10.16 tff(26617,plain,
% 14.40/10.16 (~until5(s382)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26616, 26596])).
% 14.40/10.16 tff(26618,plain,
% 14.40/10.16 (succ(s381, s382) <=> succ(s381, s382)),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26619,axiom,(succ(s381, s382)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound382')).
% 14.40/10.16 tff(26620,plain,
% 14.40/10.16 (succ(s381, s382)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26619, 26618])).
% 14.40/10.16 tff(26621,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s381, s382)) | (~xuntil6(s381)) | until5(s382))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s381, s382)) | (~xuntil6(s381)) | until5(s382))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26622,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s381, s382)) | (~xuntil6(s381)) | until5(s382))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26623,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s381, s382)) | (~xuntil6(s381)) | until5(s382)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26622, 26621])).
% 14.40/10.16 tff(26624,plain,
% 14.40/10.16 ((~xuntil6(s381)) | until5(s382)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26623, 26620, 312])).
% 14.40/10.16 tff(26625,plain,
% 14.40/10.16 (~xuntil6(s381)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26624, 26617])).
% 14.40/10.16 tff(26626,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s381, s382)) | trans(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s381, s382)) | trans(s381, s382))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26627,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s381, s382)) | trans(s381, s382))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26628,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s381, s382)) | trans(s381, s382)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26627, 26626])).
% 14.40/10.16 tff(26629,plain,
% 14.40/10.16 (trans(s381, s382)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26628, 26620, 52])).
% 14.40/10.16 tff(26630,plain,
% 14.40/10.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s381, s382)) | (~always3(s381)) | always3(s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s381, s382)) | (~always3(s381)) | always3(s382))),
% 14.40/10.16 inference(rewrite,[status(thm)],[])).
% 14.40/10.16 tff(26631,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s381, s382)) | (~always3(s381)) | always3(s382))),
% 14.40/10.16 inference(quant_inst,[status(thm)],[])).
% 14.40/10.16 tff(26632,plain,
% 14.40/10.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s381, s382)) | (~always3(s381)) | always3(s382)),
% 14.40/10.16 inference(modus_ponens,[status(thm)],[26631, 26630])).
% 14.40/10.16 tff(26633,plain,
% 14.40/10.16 ((~always3(s381)) | always3(s382)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26632, 125, 26629])).
% 14.40/10.16 tff(26634,plain,
% 14.40/10.16 (~always3(s381)),
% 14.40/10.16 inference(unit_resolution,[status(thm)],[26633, 26605])).
% 14.40/10.16 tff(26635,plain,
% 14.40/10.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s381) | (~node4(s381)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s381) | (~node4(s381)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26636,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s381) | (~node4(s381)))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26637,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s381) | (~node4(s381))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26636, 26635])).
% 14.40/10.17 tff(26638,plain,
% 14.40/10.17 (~node4(s381)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26637, 36, 26634])).
% 14.40/10.17 tff(26639,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s381) | node4(s381) | (~until5(s381)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s381) | node4(s381) | (~until5(s381)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26640,plain,
% 14.40/10.17 ((node4(s381) | (~until5(s381)) | xuntil6(s381)) <=> (xuntil6(s381) | node4(s381) | (~until5(s381)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26641,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s381) | (~until5(s381)) | xuntil6(s381))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s381) | node4(s381) | (~until5(s381))))),
% 14.40/10.17 inference(monotonicity,[status(thm)],[26640])).
% 14.40/10.17 tff(26642,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s381) | (~until5(s381)) | xuntil6(s381))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s381) | node4(s381) | (~until5(s381)))),
% 14.40/10.17 inference(transitivity,[status(thm)],[26641, 26639])).
% 14.40/10.17 tff(26643,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s381) | (~until5(s381)) | xuntil6(s381))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26644,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s381) | node4(s381) | (~until5(s381))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26643, 26642])).
% 14.40/10.17 tff(26645,plain,
% 14.40/10.17 (xuntil6(s381) | (~until5(s381))),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26644, 294, 26638])).
% 14.40/10.17 tff(26646,plain,
% 14.40/10.17 (~until5(s381)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26645, 26625])).
% 14.40/10.17 tff(26647,plain,
% 14.40/10.17 (succ(s380, s381) <=> succ(s380, s381)),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26648,axiom,(succ(s380, s381)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound381')).
% 14.40/10.17 tff(26649,plain,
% 14.40/10.17 (succ(s380, s381)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26648, 26647])).
% 14.40/10.17 tff(26650,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s380, s381)) | (~xuntil6(s380)) | until5(s381))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s380, s381)) | (~xuntil6(s380)) | until5(s381))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26651,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s380, s381)) | (~xuntil6(s380)) | until5(s381))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26652,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s380, s381)) | (~xuntil6(s380)) | until5(s381)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26651, 26650])).
% 14.40/10.17 tff(26653,plain,
% 14.40/10.17 ((~xuntil6(s380)) | until5(s381)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26652, 26649, 312])).
% 14.40/10.17 tff(26654,plain,
% 14.40/10.17 (~xuntil6(s380)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26653, 26646])).
% 14.40/10.17 tff(26655,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s380, s381)) | trans(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s380, s381)) | trans(s380, s381))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26656,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s380, s381)) | trans(s380, s381))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26657,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s380, s381)) | trans(s380, s381)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26656, 26655])).
% 14.40/10.17 tff(26658,plain,
% 14.40/10.17 (trans(s380, s381)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26657, 26649, 52])).
% 14.40/10.17 tff(26659,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s380, s381)) | (~always3(s380)) | always3(s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s380, s381)) | (~always3(s380)) | always3(s381))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26660,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s380, s381)) | (~always3(s380)) | always3(s381))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26661,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s380, s381)) | (~always3(s380)) | always3(s381)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26660, 26659])).
% 14.40/10.17 tff(26662,plain,
% 14.40/10.17 ((~always3(s380)) | always3(s381)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26661, 125, 26658])).
% 14.40/10.17 tff(26663,plain,
% 14.40/10.17 (~always3(s380)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26662, 26634])).
% 14.40/10.17 tff(26664,plain,
% 14.40/10.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s380) | (~node4(s380)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s380) | (~node4(s380)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26665,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s380) | (~node4(s380)))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26666,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s380) | (~node4(s380))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26665, 26664])).
% 14.40/10.17 tff(26667,plain,
% 14.40/10.17 (~node4(s380)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26666, 36, 26663])).
% 14.40/10.17 tff(26668,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s380) | node4(s380) | (~until5(s380)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s380) | node4(s380) | (~until5(s380)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26669,plain,
% 14.40/10.17 ((node4(s380) | (~until5(s380)) | xuntil6(s380)) <=> (xuntil6(s380) | node4(s380) | (~until5(s380)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26670,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s380) | (~until5(s380)) | xuntil6(s380))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s380) | node4(s380) | (~until5(s380))))),
% 14.40/10.17 inference(monotonicity,[status(thm)],[26669])).
% 14.40/10.17 tff(26671,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s380) | (~until5(s380)) | xuntil6(s380))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s380) | node4(s380) | (~until5(s380)))),
% 14.40/10.17 inference(transitivity,[status(thm)],[26670, 26668])).
% 14.40/10.17 tff(26672,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s380) | (~until5(s380)) | xuntil6(s380))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26673,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s380) | node4(s380) | (~until5(s380))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26672, 26671])).
% 14.40/10.17 tff(26674,plain,
% 14.40/10.17 (xuntil6(s380) | (~until5(s380))),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26673, 294, 26667])).
% 14.40/10.17 tff(26675,plain,
% 14.40/10.17 (~until5(s380)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26674, 26654])).
% 14.40/10.17 tff(26676,plain,
% 14.40/10.17 (succ(s379, s380) <=> succ(s379, s380)),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26677,axiom,(succ(s379, s380)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound380')).
% 14.40/10.17 tff(26678,plain,
% 14.40/10.17 (succ(s379, s380)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26677, 26676])).
% 14.40/10.17 tff(26679,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s379, s380)) | (~xuntil6(s379)) | until5(s380))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s379, s380)) | (~xuntil6(s379)) | until5(s380))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26680,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s379, s380)) | (~xuntil6(s379)) | until5(s380))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26681,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s379, s380)) | (~xuntil6(s379)) | until5(s380)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 14.40/10.17 tff(26682,plain,
% 14.40/10.17 ((~xuntil6(s379)) | until5(s380)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26681, 26678, 312])).
% 14.40/10.17 tff(26683,plain,
% 14.40/10.17 (~xuntil6(s379)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26682, 26675])).
% 14.40/10.17 tff(26684,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s379, s380)) | trans(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s379, s380)) | trans(s379, s380))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26685,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s379, s380)) | trans(s379, s380))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26686,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s379, s380)) | trans(s379, s380)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26685, 26684])).
% 14.40/10.17 tff(26687,plain,
% 14.40/10.17 (trans(s379, s380)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26686, 26678, 52])).
% 14.40/10.17 tff(26688,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s379, s380)) | (~always3(s379)) | always3(s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s379, s380)) | (~always3(s379)) | always3(s380))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26689,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s379, s380)) | (~always3(s379)) | always3(s380))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26690,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s379, s380)) | (~always3(s379)) | always3(s380)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26689, 26688])).
% 14.40/10.17 tff(26691,plain,
% 14.40/10.17 ((~always3(s379)) | always3(s380)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26690, 125, 26687])).
% 14.40/10.17 tff(26692,plain,
% 14.40/10.17 (~always3(s379)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26691, 26663])).
% 14.40/10.17 tff(26693,plain,
% 14.40/10.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s379) | (~node4(s379)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s379) | (~node4(s379)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26694,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s379) | (~node4(s379)))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26695,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s379) | (~node4(s379))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26694, 26693])).
% 14.40/10.17 tff(26696,plain,
% 14.40/10.17 (~node4(s379)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26695, 36, 26692])).
% 14.40/10.17 tff(26697,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s379) | node4(s379) | (~until5(s379)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s379) | node4(s379) | (~until5(s379)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26698,plain,
% 14.40/10.17 ((node4(s379) | (~until5(s379)) | xuntil6(s379)) <=> (xuntil6(s379) | node4(s379) | (~until5(s379)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26699,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s379) | (~until5(s379)) | xuntil6(s379))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s379) | node4(s379) | (~until5(s379))))),
% 14.40/10.17 inference(monotonicity,[status(thm)],[26698])).
% 14.40/10.17 tff(26700,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s379) | (~until5(s379)) | xuntil6(s379))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s379) | node4(s379) | (~until5(s379)))),
% 14.40/10.17 inference(transitivity,[status(thm)],[26699, 26697])).
% 14.40/10.17 tff(26701,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s379) | (~until5(s379)) | xuntil6(s379))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26702,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s379) | node4(s379) | (~until5(s379))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26701, 26700])).
% 14.40/10.17 tff(26703,plain,
% 14.40/10.17 (xuntil6(s379) | (~until5(s379))),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26702, 294, 26696])).
% 14.40/10.17 tff(26704,plain,
% 14.40/10.17 (~until5(s379)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26703, 26683])).
% 14.40/10.17 tff(26705,plain,
% 14.40/10.17 (succ(s378, s379) <=> succ(s378, s379)),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26706,axiom,(succ(s378, s379)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound379')).
% 14.40/10.17 tff(26707,plain,
% 14.40/10.17 (succ(s378, s379)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26706, 26705])).
% 14.40/10.17 tff(26708,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s378, s379)) | (~xuntil6(s378)) | until5(s379))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s378, s379)) | (~xuntil6(s378)) | until5(s379))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26709,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s378, s379)) | (~xuntil6(s378)) | until5(s379))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26710,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s378, s379)) | (~xuntil6(s378)) | until5(s379)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26709, 26708])).
% 14.40/10.17 tff(26711,plain,
% 14.40/10.17 ((~xuntil6(s378)) | until5(s379)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26710, 26707, 312])).
% 14.40/10.17 tff(26712,plain,
% 14.40/10.17 (~xuntil6(s378)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26711, 26704])).
% 14.40/10.17 tff(26713,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s378, s379)) | trans(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s378, s379)) | trans(s378, s379))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26714,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s378, s379)) | trans(s378, s379))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26715,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s378, s379)) | trans(s378, s379)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26714, 26713])).
% 14.40/10.17 tff(26716,plain,
% 14.40/10.17 (trans(s378, s379)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26715, 26707, 52])).
% 14.40/10.17 tff(26717,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s378, s379)) | (~always3(s378)) | always3(s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s378, s379)) | (~always3(s378)) | always3(s379))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26718,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s378, s379)) | (~always3(s378)) | always3(s379))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26719,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s378, s379)) | (~always3(s378)) | always3(s379)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26718, 26717])).
% 14.40/10.17 tff(26720,plain,
% 14.40/10.17 ((~always3(s378)) | always3(s379)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26719, 125, 26716])).
% 14.40/10.17 tff(26721,plain,
% 14.40/10.17 (~always3(s378)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26720, 26692])).
% 14.40/10.17 tff(26722,plain,
% 14.40/10.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s378) | (~node4(s378)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s378) | (~node4(s378)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26723,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s378) | (~node4(s378)))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26724,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s378) | (~node4(s378))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 14.40/10.17 tff(26725,plain,
% 14.40/10.17 (~node4(s378)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26724, 36, 26721])).
% 14.40/10.17 tff(26726,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s378) | node4(s378) | (~until5(s378)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s378) | node4(s378) | (~until5(s378)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26727,plain,
% 14.40/10.17 ((node4(s378) | (~until5(s378)) | xuntil6(s378)) <=> (xuntil6(s378) | node4(s378) | (~until5(s378)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26728,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s378) | (~until5(s378)) | xuntil6(s378))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s378) | node4(s378) | (~until5(s378))))),
% 14.40/10.17 inference(monotonicity,[status(thm)],[26727])).
% 14.40/10.17 tff(26729,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s378) | (~until5(s378)) | xuntil6(s378))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s378) | node4(s378) | (~until5(s378)))),
% 14.40/10.17 inference(transitivity,[status(thm)],[26728, 26726])).
% 14.40/10.17 tff(26730,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s378) | (~until5(s378)) | xuntil6(s378))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26731,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s378) | node4(s378) | (~until5(s378))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26730, 26729])).
% 14.40/10.17 tff(26732,plain,
% 14.40/10.17 (xuntil6(s378) | (~until5(s378))),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26731, 294, 26725])).
% 14.40/10.17 tff(26733,plain,
% 14.40/10.17 (~until5(s378)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26732, 26712])).
% 14.40/10.17 tff(26734,plain,
% 14.40/10.17 (succ(s377, s378) <=> succ(s377, s378)),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26735,axiom,(succ(s377, s378)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound378')).
% 14.40/10.17 tff(26736,plain,
% 14.40/10.17 (succ(s377, s378)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26735, 26734])).
% 14.40/10.17 tff(26737,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s377, s378)) | (~xuntil6(s377)) | until5(s378))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s377, s378)) | (~xuntil6(s377)) | until5(s378))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26738,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s377, s378)) | (~xuntil6(s377)) | until5(s378))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26739,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s377, s378)) | (~xuntil6(s377)) | until5(s378)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26738, 26737])).
% 14.40/10.17 tff(26740,plain,
% 14.40/10.17 ((~xuntil6(s377)) | until5(s378)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26739, 26736, 312])).
% 14.40/10.17 tff(26741,plain,
% 14.40/10.17 (~xuntil6(s377)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26740, 26733])).
% 14.40/10.17 tff(26742,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s377, s378)) | trans(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s377, s378)) | trans(s377, s378))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26743,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s377, s378)) | trans(s377, s378))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26744,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s377, s378)) | trans(s377, s378)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26743, 26742])).
% 14.40/10.17 tff(26745,plain,
% 14.40/10.17 (trans(s377, s378)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26744, 26736, 52])).
% 14.40/10.17 tff(26746,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s377, s378)) | (~always3(s377)) | always3(s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s377, s378)) | (~always3(s377)) | always3(s378))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26747,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s377, s378)) | (~always3(s377)) | always3(s378))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26748,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s377, s378)) | (~always3(s377)) | always3(s378)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26747, 26746])).
% 14.40/10.17 tff(26749,plain,
% 14.40/10.17 ((~always3(s377)) | always3(s378)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26748, 125, 26745])).
% 14.40/10.17 tff(26750,plain,
% 14.40/10.17 (~always3(s377)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26749, 26721])).
% 14.40/10.17 tff(26751,plain,
% 14.40/10.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s377) | (~node4(s377)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s377) | (~node4(s377)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26752,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s377) | (~node4(s377)))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26753,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s377) | (~node4(s377))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26752, 26751])).
% 14.40/10.17 tff(26754,plain,
% 14.40/10.17 (~node4(s377)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26753, 36, 26750])).
% 14.40/10.17 tff(26755,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s377) | node4(s377) | (~until5(s377)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s377) | node4(s377) | (~until5(s377)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26756,plain,
% 14.40/10.17 ((node4(s377) | (~until5(s377)) | xuntil6(s377)) <=> (xuntil6(s377) | node4(s377) | (~until5(s377)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26757,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s377) | (~until5(s377)) | xuntil6(s377))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s377) | node4(s377) | (~until5(s377))))),
% 14.40/10.17 inference(monotonicity,[status(thm)],[26756])).
% 14.40/10.17 tff(26758,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s377) | (~until5(s377)) | xuntil6(s377))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s377) | node4(s377) | (~until5(s377)))),
% 14.40/10.17 inference(transitivity,[status(thm)],[26757, 26755])).
% 14.40/10.17 tff(26759,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s377) | (~until5(s377)) | xuntil6(s377))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26760,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s377) | node4(s377) | (~until5(s377))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26759, 26758])).
% 14.40/10.17 tff(26761,plain,
% 14.40/10.17 (xuntil6(s377) | (~until5(s377))),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26760, 294, 26754])).
% 14.40/10.17 tff(26762,plain,
% 14.40/10.17 (~until5(s377)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26761, 26741])).
% 14.40/10.17 tff(26763,plain,
% 14.40/10.17 (succ(s376, s377) <=> succ(s376, s377)),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26764,axiom,(succ(s376, s377)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound377')).
% 14.40/10.17 tff(26765,plain,
% 14.40/10.17 (succ(s376, s377)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26764, 26763])).
% 14.40/10.17 tff(26766,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s376, s377)) | (~xuntil6(s376)) | until5(s377))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s376, s377)) | (~xuntil6(s376)) | until5(s377))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26767,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s376, s377)) | (~xuntil6(s376)) | until5(s377))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26768,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s376, s377)) | (~xuntil6(s376)) | until5(s377)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26767, 26766])).
% 14.40/10.17 tff(26769,plain,
% 14.40/10.17 ((~xuntil6(s376)) | until5(s377)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26768, 26765, 312])).
% 14.40/10.17 tff(26770,plain,
% 14.40/10.17 (~xuntil6(s376)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26769, 26762])).
% 14.40/10.17 tff(26771,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s376, s377)) | trans(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s376, s377)) | trans(s376, s377))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26772,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s376, s377)) | trans(s376, s377))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26773,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s376, s377)) | trans(s376, s377)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26772, 26771])).
% 14.40/10.17 tff(26774,plain,
% 14.40/10.17 (trans(s376, s377)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26773, 26765, 52])).
% 14.40/10.17 tff(26775,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s376, s377)) | (~always3(s376)) | always3(s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s376, s377)) | (~always3(s376)) | always3(s377))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26776,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s376, s377)) | (~always3(s376)) | always3(s377))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26777,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s376, s377)) | (~always3(s376)) | always3(s377)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26776, 26775])).
% 14.40/10.17 tff(26778,plain,
% 14.40/10.17 ((~always3(s376)) | always3(s377)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26777, 125, 26774])).
% 14.40/10.17 tff(26779,plain,
% 14.40/10.17 (~always3(s376)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26778, 26750])).
% 14.40/10.17 tff(26780,plain,
% 14.40/10.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s376) | (~node4(s376)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s376) | (~node4(s376)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26781,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s376) | (~node4(s376)))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26782,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s376) | (~node4(s376))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26781, 26780])).
% 14.40/10.17 tff(26783,plain,
% 14.40/10.17 (~node4(s376)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26782, 36, 26779])).
% 14.40/10.17 tff(26784,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s376) | node4(s376) | (~until5(s376)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s376) | node4(s376) | (~until5(s376)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26785,plain,
% 14.40/10.17 ((node4(s376) | (~until5(s376)) | xuntil6(s376)) <=> (xuntil6(s376) | node4(s376) | (~until5(s376)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26786,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s376) | (~until5(s376)) | xuntil6(s376))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s376) | node4(s376) | (~until5(s376))))),
% 14.40/10.17 inference(monotonicity,[status(thm)],[26785])).
% 14.40/10.17 tff(26787,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s376) | (~until5(s376)) | xuntil6(s376))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s376) | node4(s376) | (~until5(s376)))),
% 14.40/10.17 inference(transitivity,[status(thm)],[26786, 26784])).
% 14.40/10.17 tff(26788,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s376) | (~until5(s376)) | xuntil6(s376))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26789,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s376) | node4(s376) | (~until5(s376))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26788, 26787])).
% 14.40/10.17 tff(26790,plain,
% 14.40/10.17 (xuntil6(s376) | (~until5(s376))),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26789, 294, 26783])).
% 14.40/10.17 tff(26791,plain,
% 14.40/10.17 (~until5(s376)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26790, 26770])).
% 14.40/10.17 tff(26792,plain,
% 14.40/10.17 (succ(s375, s376) <=> succ(s375, s376)),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26793,axiom,(succ(s375, s376)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound376')).
% 14.40/10.17 tff(26794,plain,
% 14.40/10.17 (succ(s375, s376)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26793, 26792])).
% 14.40/10.17 tff(26795,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s375, s376)) | (~xuntil6(s375)) | until5(s376))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s375, s376)) | (~xuntil6(s375)) | until5(s376))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26796,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s375, s376)) | (~xuntil6(s375)) | until5(s376))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26797,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s375, s376)) | (~xuntil6(s375)) | until5(s376)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26796, 26795])).
% 14.40/10.17 tff(26798,plain,
% 14.40/10.17 ((~xuntil6(s375)) | until5(s376)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26797, 26794, 312])).
% 14.40/10.17 tff(26799,plain,
% 14.40/10.17 (~xuntil6(s375)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26798, 26791])).
% 14.40/10.17 tff(26800,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s375, s376)) | trans(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s375, s376)) | trans(s375, s376))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26801,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s375, s376)) | trans(s375, s376))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26802,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s375, s376)) | trans(s375, s376)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26801, 26800])).
% 14.40/10.17 tff(26803,plain,
% 14.40/10.17 (trans(s375, s376)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26802, 26794, 52])).
% 14.40/10.17 tff(26804,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s375, s376)) | (~always3(s375)) | always3(s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s375, s376)) | (~always3(s375)) | always3(s376))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26805,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s375, s376)) | (~always3(s375)) | always3(s376))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26806,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s375, s376)) | (~always3(s375)) | always3(s376)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26805, 26804])).
% 14.40/10.17 tff(26807,plain,
% 14.40/10.17 ((~always3(s375)) | always3(s376)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26806, 125, 26803])).
% 14.40/10.17 tff(26808,plain,
% 14.40/10.17 (~always3(s375)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26807, 26779])).
% 14.40/10.17 tff(26809,plain,
% 14.40/10.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s375) | (~node4(s375)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s375) | (~node4(s375)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26810,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s375) | (~node4(s375)))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26811,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s375) | (~node4(s375))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26810, 26809])).
% 14.40/10.17 tff(26812,plain,
% 14.40/10.17 (~node4(s375)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26811, 36, 26808])).
% 14.40/10.17 tff(26813,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s375) | node4(s375) | (~until5(s375)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s375) | node4(s375) | (~until5(s375)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26814,plain,
% 14.40/10.17 ((node4(s375) | (~until5(s375)) | xuntil6(s375)) <=> (xuntil6(s375) | node4(s375) | (~until5(s375)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26815,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s375) | (~until5(s375)) | xuntil6(s375))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s375) | node4(s375) | (~until5(s375))))),
% 14.40/10.17 inference(monotonicity,[status(thm)],[26814])).
% 14.40/10.17 tff(26816,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s375) | (~until5(s375)) | xuntil6(s375))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s375) | node4(s375) | (~until5(s375)))),
% 14.40/10.17 inference(transitivity,[status(thm)],[26815, 26813])).
% 14.40/10.17 tff(26817,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s375) | (~until5(s375)) | xuntil6(s375))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26818,plain,
% 14.40/10.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s375) | node4(s375) | (~until5(s375))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26817, 26816])).
% 14.40/10.17 tff(26819,plain,
% 14.40/10.17 (xuntil6(s375) | (~until5(s375))),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26818, 294, 26812])).
% 14.40/10.17 tff(26820,plain,
% 14.40/10.17 (~until5(s375)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26819, 26799])).
% 14.40/10.17 tff(26821,plain,
% 14.40/10.17 (succ(s374, s375) <=> succ(s374, s375)),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26822,axiom,(succ(s374, s375)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound375')).
% 14.40/10.17 tff(26823,plain,
% 14.40/10.17 (succ(s374, s375)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26822, 26821])).
% 14.40/10.17 tff(26824,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s374, s375)) | (~xuntil6(s374)) | until5(s375))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s374, s375)) | (~xuntil6(s374)) | until5(s375))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26825,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s374, s375)) | (~xuntil6(s374)) | until5(s375))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26826,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s374, s375)) | (~xuntil6(s374)) | until5(s375)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 14.40/10.17 tff(26827,plain,
% 14.40/10.17 ((~xuntil6(s374)) | until5(s375)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26826, 26823, 312])).
% 14.40/10.17 tff(26828,plain,
% 14.40/10.17 (~xuntil6(s374)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26827, 26820])).
% 14.40/10.17 tff(26829,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s374, s375)) | trans(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s374, s375)) | trans(s374, s375))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26830,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s374, s375)) | trans(s374, s375))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26831,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s374, s375)) | trans(s374, s375)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 14.40/10.17 tff(26832,plain,
% 14.40/10.17 (trans(s374, s375)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26831, 26823, 52])).
% 14.40/10.17 tff(26833,plain,
% 14.40/10.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s374, s375)) | (~always3(s374)) | always3(s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s374, s375)) | (~always3(s374)) | always3(s375))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26834,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s374, s375)) | (~always3(s374)) | always3(s375))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26835,plain,
% 14.40/10.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s374, s375)) | (~always3(s374)) | always3(s375)),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26834, 26833])).
% 14.40/10.17 tff(26836,plain,
% 14.40/10.17 ((~always3(s374)) | always3(s375)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26835, 125, 26832])).
% 14.40/10.17 tff(26837,plain,
% 14.40/10.17 (~always3(s374)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26836, 26808])).
% 14.40/10.17 tff(26838,plain,
% 14.40/10.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s374) | (~node4(s374)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s374) | (~node4(s374)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26839,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s374) | (~node4(s374)))),
% 14.40/10.17 inference(quant_inst,[status(thm)],[])).
% 14.40/10.17 tff(26840,plain,
% 14.40/10.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s374) | (~node4(s374))),
% 14.40/10.17 inference(modus_ponens,[status(thm)],[26839, 26838])).
% 14.40/10.17 tff(26841,plain,
% 14.40/10.17 (~node4(s374)),
% 14.40/10.17 inference(unit_resolution,[status(thm)],[26840, 36, 26837])).
% 14.40/10.17 tff(26842,plain,
% 14.40/10.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s374) | node4(s374) | (~until5(s374)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s374) | node4(s374) | (~until5(s374)))),
% 14.40/10.17 inference(rewrite,[status(thm)],[])).
% 14.40/10.17 tff(26843,plain,
% 14.40/10.17 ((node4(s374) | (~until5(s374)) | xuntil6(s374)) <=> (xuntil6(s374) | node4(s374) | (~until5(s374)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26844,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s374) | (~until5(s374)) | xuntil6(s374))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s374) | node4(s374) | (~until5(s374))))),
% 14.40/10.18 inference(monotonicity,[status(thm)],[26843])).
% 14.40/10.18 tff(26845,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s374) | (~until5(s374)) | xuntil6(s374))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s374) | node4(s374) | (~until5(s374)))),
% 14.40/10.18 inference(transitivity,[status(thm)],[26844, 26842])).
% 14.40/10.18 tff(26846,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s374) | (~until5(s374)) | xuntil6(s374))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26847,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s374) | node4(s374) | (~until5(s374))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26846, 26845])).
% 14.40/10.18 tff(26848,plain,
% 14.40/10.18 (xuntil6(s374) | (~until5(s374))),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26847, 294, 26841])).
% 14.40/10.18 tff(26849,plain,
% 14.40/10.18 (~until5(s374)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26848, 26828])).
% 14.40/10.18 tff(26850,plain,
% 14.40/10.18 (succ(s373, s374) <=> succ(s373, s374)),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26851,axiom,(succ(s373, s374)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound374')).
% 14.40/10.18 tff(26852,plain,
% 14.40/10.18 (succ(s373, s374)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 14.40/10.18 tff(26853,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s373, s374)) | (~xuntil6(s373)) | until5(s374))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s373, s374)) | (~xuntil6(s373)) | until5(s374))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26854,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s373, s374)) | (~xuntil6(s373)) | until5(s374))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26855,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s373, s374)) | (~xuntil6(s373)) | until5(s374)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26854, 26853])).
% 14.40/10.18 tff(26856,plain,
% 14.40/10.18 ((~xuntil6(s373)) | until5(s374)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26855, 26852, 312])).
% 14.40/10.18 tff(26857,plain,
% 14.40/10.18 (~xuntil6(s373)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26856, 26849])).
% 14.40/10.18 tff(26858,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s373, s374)) | trans(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s373, s374)) | trans(s373, s374))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26859,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s373, s374)) | trans(s373, s374))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26860,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s373, s374)) | trans(s373, s374)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26859, 26858])).
% 14.40/10.18 tff(26861,plain,
% 14.40/10.18 (trans(s373, s374)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26860, 26852, 52])).
% 14.40/10.18 tff(26862,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s373, s374)) | (~always3(s373)) | always3(s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s373, s374)) | (~always3(s373)) | always3(s374))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26863,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s373, s374)) | (~always3(s373)) | always3(s374))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26864,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s373, s374)) | (~always3(s373)) | always3(s374)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26863, 26862])).
% 14.40/10.18 tff(26865,plain,
% 14.40/10.18 ((~always3(s373)) | always3(s374)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26864, 125, 26861])).
% 14.40/10.18 tff(26866,plain,
% 14.40/10.18 (~always3(s373)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26865, 26837])).
% 14.40/10.18 tff(26867,plain,
% 14.40/10.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s373) | (~node4(s373)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s373) | (~node4(s373)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26868,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s373) | (~node4(s373)))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26869,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s373) | (~node4(s373))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26868, 26867])).
% 14.40/10.18 tff(26870,plain,
% 14.40/10.18 (~node4(s373)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26869, 36, 26866])).
% 14.40/10.18 tff(26871,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s373) | node4(s373) | (~until5(s373)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s373) | node4(s373) | (~until5(s373)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26872,plain,
% 14.40/10.18 ((node4(s373) | (~until5(s373)) | xuntil6(s373)) <=> (xuntil6(s373) | node4(s373) | (~until5(s373)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26873,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s373) | (~until5(s373)) | xuntil6(s373))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s373) | node4(s373) | (~until5(s373))))),
% 14.40/10.18 inference(monotonicity,[status(thm)],[26872])).
% 14.40/10.18 tff(26874,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s373) | (~until5(s373)) | xuntil6(s373))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s373) | node4(s373) | (~until5(s373)))),
% 14.40/10.18 inference(transitivity,[status(thm)],[26873, 26871])).
% 14.40/10.18 tff(26875,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s373) | (~until5(s373)) | xuntil6(s373))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26876,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s373) | node4(s373) | (~until5(s373))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26875, 26874])).
% 14.40/10.18 tff(26877,plain,
% 14.40/10.18 (xuntil6(s373) | (~until5(s373))),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26876, 294, 26870])).
% 14.40/10.18 tff(26878,plain,
% 14.40/10.18 (~until5(s373)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26877, 26857])).
% 14.40/10.18 tff(26879,plain,
% 14.40/10.18 (succ(s372, s373) <=> succ(s372, s373)),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26880,axiom,(succ(s372, s373)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound373')).
% 14.40/10.18 tff(26881,plain,
% 14.40/10.18 (succ(s372, s373)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26880, 26879])).
% 14.40/10.18 tff(26882,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s372, s373)) | (~xuntil6(s372)) | until5(s373))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s372, s373)) | (~xuntil6(s372)) | until5(s373))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26883,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s372, s373)) | (~xuntil6(s372)) | until5(s373))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26884,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s372, s373)) | (~xuntil6(s372)) | until5(s373)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26883, 26882])).
% 14.40/10.18 tff(26885,plain,
% 14.40/10.18 ((~xuntil6(s372)) | until5(s373)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26884, 26881, 312])).
% 14.40/10.18 tff(26886,plain,
% 14.40/10.18 (~xuntil6(s372)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26885, 26878])).
% 14.40/10.18 tff(26887,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s372, s373)) | trans(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s372, s373)) | trans(s372, s373))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26888,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s372, s373)) | trans(s372, s373))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26889,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s372, s373)) | trans(s372, s373)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26888, 26887])).
% 14.40/10.18 tff(26890,plain,
% 14.40/10.18 (trans(s372, s373)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26889, 26881, 52])).
% 14.40/10.18 tff(26891,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s372, s373)) | (~always3(s372)) | always3(s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s372, s373)) | (~always3(s372)) | always3(s373))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26892,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s372, s373)) | (~always3(s372)) | always3(s373))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26893,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s372, s373)) | (~always3(s372)) | always3(s373)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26892, 26891])).
% 14.40/10.18 tff(26894,plain,
% 14.40/10.18 ((~always3(s372)) | always3(s373)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26893, 125, 26890])).
% 14.40/10.18 tff(26895,plain,
% 14.40/10.18 (~always3(s372)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26894, 26866])).
% 14.40/10.18 tff(26896,plain,
% 14.40/10.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s372) | (~node4(s372)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s372) | (~node4(s372)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26897,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s372) | (~node4(s372)))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26898,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s372) | (~node4(s372))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26897, 26896])).
% 14.40/10.18 tff(26899,plain,
% 14.40/10.18 (~node4(s372)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26898, 36, 26895])).
% 14.40/10.18 tff(26900,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s372) | node4(s372) | (~until5(s372)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s372) | node4(s372) | (~until5(s372)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26901,plain,
% 14.40/10.18 ((node4(s372) | (~until5(s372)) | xuntil6(s372)) <=> (xuntil6(s372) | node4(s372) | (~until5(s372)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26902,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s372) | (~until5(s372)) | xuntil6(s372))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s372) | node4(s372) | (~until5(s372))))),
% 14.40/10.18 inference(monotonicity,[status(thm)],[26901])).
% 14.40/10.18 tff(26903,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s372) | (~until5(s372)) | xuntil6(s372))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s372) | node4(s372) | (~until5(s372)))),
% 14.40/10.18 inference(transitivity,[status(thm)],[26902, 26900])).
% 14.40/10.18 tff(26904,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s372) | (~until5(s372)) | xuntil6(s372))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26905,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s372) | node4(s372) | (~until5(s372))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26904, 26903])).
% 14.40/10.18 tff(26906,plain,
% 14.40/10.18 (xuntil6(s372) | (~until5(s372))),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26905, 294, 26899])).
% 14.40/10.18 tff(26907,plain,
% 14.40/10.18 (~until5(s372)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26906, 26886])).
% 14.40/10.18 tff(26908,plain,
% 14.40/10.18 (succ(s371, s372) <=> succ(s371, s372)),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26909,axiom,(succ(s371, s372)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound372')).
% 14.40/10.18 tff(26910,plain,
% 14.40/10.18 (succ(s371, s372)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26909, 26908])).
% 14.40/10.18 tff(26911,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s371, s372)) | (~xuntil6(s371)) | until5(s372))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s371, s372)) | (~xuntil6(s371)) | until5(s372))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26912,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s371, s372)) | (~xuntil6(s371)) | until5(s372))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26913,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s371, s372)) | (~xuntil6(s371)) | until5(s372)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26912, 26911])).
% 14.40/10.18 tff(26914,plain,
% 14.40/10.18 ((~xuntil6(s371)) | until5(s372)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26913, 26910, 312])).
% 14.40/10.18 tff(26915,plain,
% 14.40/10.18 (~xuntil6(s371)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26914, 26907])).
% 14.40/10.18 tff(26916,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s371, s372)) | trans(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s371, s372)) | trans(s371, s372))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26917,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s371, s372)) | trans(s371, s372))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26918,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s371, s372)) | trans(s371, s372)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26917, 26916])).
% 14.40/10.18 tff(26919,plain,
% 14.40/10.18 (trans(s371, s372)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26918, 26910, 52])).
% 14.40/10.18 tff(26920,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s371, s372)) | (~always3(s371)) | always3(s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s371, s372)) | (~always3(s371)) | always3(s372))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26921,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s371, s372)) | (~always3(s371)) | always3(s372))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26922,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s371, s372)) | (~always3(s371)) | always3(s372)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26921, 26920])).
% 14.40/10.18 tff(26923,plain,
% 14.40/10.18 ((~always3(s371)) | always3(s372)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26922, 125, 26919])).
% 14.40/10.18 tff(26924,plain,
% 14.40/10.18 (~always3(s371)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26923, 26895])).
% 14.40/10.18 tff(26925,plain,
% 14.40/10.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s371) | (~node4(s371)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s371) | (~node4(s371)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26926,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s371) | (~node4(s371)))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26927,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s371) | (~node4(s371))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 14.40/10.18 tff(26928,plain,
% 14.40/10.18 (~node4(s371)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26927, 36, 26924])).
% 14.40/10.18 tff(26929,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s371) | node4(s371) | (~until5(s371)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s371) | node4(s371) | (~until5(s371)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26930,plain,
% 14.40/10.18 ((node4(s371) | (~until5(s371)) | xuntil6(s371)) <=> (xuntil6(s371) | node4(s371) | (~until5(s371)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26931,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s371) | (~until5(s371)) | xuntil6(s371))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s371) | node4(s371) | (~until5(s371))))),
% 14.40/10.18 inference(monotonicity,[status(thm)],[26930])).
% 14.40/10.18 tff(26932,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s371) | (~until5(s371)) | xuntil6(s371))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s371) | node4(s371) | (~until5(s371)))),
% 14.40/10.18 inference(transitivity,[status(thm)],[26931, 26929])).
% 14.40/10.18 tff(26933,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s371) | (~until5(s371)) | xuntil6(s371))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26934,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s371) | node4(s371) | (~until5(s371))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26933, 26932])).
% 14.40/10.18 tff(26935,plain,
% 14.40/10.18 (xuntil6(s371) | (~until5(s371))),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26934, 294, 26928])).
% 14.40/10.18 tff(26936,plain,
% 14.40/10.18 (~until5(s371)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26935, 26915])).
% 14.40/10.18 tff(26937,plain,
% 14.40/10.18 (succ(s370, s371) <=> succ(s370, s371)),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26938,axiom,(succ(s370, s371)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound371')).
% 14.40/10.18 tff(26939,plain,
% 14.40/10.18 (succ(s370, s371)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26938, 26937])).
% 14.40/10.18 tff(26940,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s370, s371)) | (~xuntil6(s370)) | until5(s371))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s370, s371)) | (~xuntil6(s370)) | until5(s371))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26941,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s370, s371)) | (~xuntil6(s370)) | until5(s371))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26942,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s370, s371)) | (~xuntil6(s370)) | until5(s371)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26941, 26940])).
% 14.40/10.18 tff(26943,plain,
% 14.40/10.18 ((~xuntil6(s370)) | until5(s371)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26942, 26939, 312])).
% 14.40/10.18 tff(26944,plain,
% 14.40/10.18 (~xuntil6(s370)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26943, 26936])).
% 14.40/10.18 tff(26945,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s370, s371)) | trans(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s370, s371)) | trans(s370, s371))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26946,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s370, s371)) | trans(s370, s371))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26947,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s370, s371)) | trans(s370, s371)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 14.40/10.18 tff(26948,plain,
% 14.40/10.18 (trans(s370, s371)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26947, 26939, 52])).
% 14.40/10.18 tff(26949,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s370, s371)) | (~always3(s370)) | always3(s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s370, s371)) | (~always3(s370)) | always3(s371))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26950,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s370, s371)) | (~always3(s370)) | always3(s371))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26951,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s370, s371)) | (~always3(s370)) | always3(s371)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26950, 26949])).
% 14.40/10.18 tff(26952,plain,
% 14.40/10.18 ((~always3(s370)) | always3(s371)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26951, 125, 26948])).
% 14.40/10.18 tff(26953,plain,
% 14.40/10.18 (~always3(s370)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26952, 26924])).
% 14.40/10.18 tff(26954,plain,
% 14.40/10.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s370) | (~node4(s370)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s370) | (~node4(s370)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26955,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s370) | (~node4(s370)))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26956,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s370) | (~node4(s370))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26955, 26954])).
% 14.40/10.18 tff(26957,plain,
% 14.40/10.18 (~node4(s370)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26956, 36, 26953])).
% 14.40/10.18 tff(26958,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s370) | node4(s370) | (~until5(s370)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s370) | node4(s370) | (~until5(s370)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26959,plain,
% 14.40/10.18 ((node4(s370) | (~until5(s370)) | xuntil6(s370)) <=> (xuntil6(s370) | node4(s370) | (~until5(s370)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26960,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s370) | (~until5(s370)) | xuntil6(s370))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s370) | node4(s370) | (~until5(s370))))),
% 14.40/10.18 inference(monotonicity,[status(thm)],[26959])).
% 14.40/10.18 tff(26961,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s370) | (~until5(s370)) | xuntil6(s370))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s370) | node4(s370) | (~until5(s370)))),
% 14.40/10.18 inference(transitivity,[status(thm)],[26960, 26958])).
% 14.40/10.18 tff(26962,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s370) | (~until5(s370)) | xuntil6(s370))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26963,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s370) | node4(s370) | (~until5(s370))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26962, 26961])).
% 14.40/10.18 tff(26964,plain,
% 14.40/10.18 (xuntil6(s370) | (~until5(s370))),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26963, 294, 26957])).
% 14.40/10.18 tff(26965,plain,
% 14.40/10.18 (~until5(s370)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26964, 26944])).
% 14.40/10.18 tff(26966,plain,
% 14.40/10.18 (succ(s369, s370) <=> succ(s369, s370)),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26967,axiom,(succ(s369, s370)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound370')).
% 14.40/10.18 tff(26968,plain,
% 14.40/10.18 (succ(s369, s370)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26967, 26966])).
% 14.40/10.18 tff(26969,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s369, s370)) | (~xuntil6(s369)) | until5(s370))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s369, s370)) | (~xuntil6(s369)) | until5(s370))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26970,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s369, s370)) | (~xuntil6(s369)) | until5(s370))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26971,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s369, s370)) | (~xuntil6(s369)) | until5(s370)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 14.40/10.18 tff(26972,plain,
% 14.40/10.18 ((~xuntil6(s369)) | until5(s370)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26971, 26968, 312])).
% 14.40/10.18 tff(26973,plain,
% 14.40/10.18 (~xuntil6(s369)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26972, 26965])).
% 14.40/10.18 tff(26974,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s369, s370)) | trans(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s369, s370)) | trans(s369, s370))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26975,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s369, s370)) | trans(s369, s370))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26976,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s369, s370)) | trans(s369, s370)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26975, 26974])).
% 14.40/10.18 tff(26977,plain,
% 14.40/10.18 (trans(s369, s370)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26976, 26968, 52])).
% 14.40/10.18 tff(26978,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s369, s370)) | (~always3(s369)) | always3(s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s369, s370)) | (~always3(s369)) | always3(s370))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26979,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s369, s370)) | (~always3(s369)) | always3(s370))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26980,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s369, s370)) | (~always3(s369)) | always3(s370)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26979, 26978])).
% 14.40/10.18 tff(26981,plain,
% 14.40/10.18 ((~always3(s369)) | always3(s370)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26980, 125, 26977])).
% 14.40/10.18 tff(26982,plain,
% 14.40/10.18 (~always3(s369)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26981, 26953])).
% 14.40/10.18 tff(26983,plain,
% 14.40/10.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s369) | (~node4(s369)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s369) | (~node4(s369)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26984,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s369) | (~node4(s369)))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26985,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s369) | (~node4(s369))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26984, 26983])).
% 14.40/10.18 tff(26986,plain,
% 14.40/10.18 (~node4(s369)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26985, 36, 26982])).
% 14.40/10.18 tff(26987,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s369) | node4(s369) | (~until5(s369)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s369) | node4(s369) | (~until5(s369)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26988,plain,
% 14.40/10.18 ((node4(s369) | (~until5(s369)) | xuntil6(s369)) <=> (xuntil6(s369) | node4(s369) | (~until5(s369)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26989,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s369) | (~until5(s369)) | xuntil6(s369))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s369) | node4(s369) | (~until5(s369))))),
% 14.40/10.18 inference(monotonicity,[status(thm)],[26988])).
% 14.40/10.18 tff(26990,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s369) | (~until5(s369)) | xuntil6(s369))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s369) | node4(s369) | (~until5(s369)))),
% 14.40/10.18 inference(transitivity,[status(thm)],[26989, 26987])).
% 14.40/10.18 tff(26991,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s369) | (~until5(s369)) | xuntil6(s369))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(26992,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s369) | node4(s369) | (~until5(s369))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26991, 26990])).
% 14.40/10.18 tff(26993,plain,
% 14.40/10.18 (xuntil6(s369) | (~until5(s369))),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26992, 294, 26986])).
% 14.40/10.18 tff(26994,plain,
% 14.40/10.18 (~until5(s369)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[26993, 26973])).
% 14.40/10.18 tff(26995,plain,
% 14.40/10.18 (succ(s368, s369) <=> succ(s368, s369)),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26996,axiom,(succ(s368, s369)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound369')).
% 14.40/10.18 tff(26997,plain,
% 14.40/10.18 (succ(s368, s369)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26996, 26995])).
% 14.40/10.18 tff(26998,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s368, s369)) | (~xuntil6(s368)) | until5(s369))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s368, s369)) | (~xuntil6(s368)) | until5(s369))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(26999,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s368, s369)) | (~xuntil6(s368)) | until5(s369))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(27000,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s368, s369)) | (~xuntil6(s368)) | until5(s369)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[26999, 26998])).
% 14.40/10.18 tff(27001,plain,
% 14.40/10.18 ((~xuntil6(s368)) | until5(s369)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[27000, 26997, 312])).
% 14.40/10.18 tff(27002,plain,
% 14.40/10.18 (~xuntil6(s368)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[27001, 26994])).
% 14.40/10.18 tff(27003,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s368, s369)) | trans(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s368, s369)) | trans(s368, s369))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(27004,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s368, s369)) | trans(s368, s369))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(27005,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s368, s369)) | trans(s368, s369)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[27004, 27003])).
% 14.40/10.18 tff(27006,plain,
% 14.40/10.18 (trans(s368, s369)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[27005, 26997, 52])).
% 14.40/10.18 tff(27007,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s368, s369)) | (~always3(s368)) | always3(s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s368, s369)) | (~always3(s368)) | always3(s369))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(27008,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s368, s369)) | (~always3(s368)) | always3(s369))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(27009,plain,
% 14.40/10.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s368, s369)) | (~always3(s368)) | always3(s369)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[27008, 27007])).
% 14.40/10.18 tff(27010,plain,
% 14.40/10.18 ((~always3(s368)) | always3(s369)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[27009, 125, 27006])).
% 14.40/10.18 tff(27011,plain,
% 14.40/10.18 (~always3(s368)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[27010, 26982])).
% 14.40/10.18 tff(27012,plain,
% 14.40/10.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s368) | (~node4(s368)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s368) | (~node4(s368)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(27013,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s368) | (~node4(s368)))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(27014,plain,
% 14.40/10.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s368) | (~node4(s368))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[27013, 27012])).
% 14.40/10.18 tff(27015,plain,
% 14.40/10.18 (~node4(s368)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[27014, 36, 27011])).
% 14.40/10.18 tff(27016,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s368) | node4(s368) | (~until5(s368)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s368) | node4(s368) | (~until5(s368)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(27017,plain,
% 14.40/10.18 ((node4(s368) | (~until5(s368)) | xuntil6(s368)) <=> (xuntil6(s368) | node4(s368) | (~until5(s368)))),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(27018,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s368) | (~until5(s368)) | xuntil6(s368))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s368) | node4(s368) | (~until5(s368))))),
% 14.40/10.18 inference(monotonicity,[status(thm)],[27017])).
% 14.40/10.18 tff(27019,plain,
% 14.40/10.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s368) | (~until5(s368)) | xuntil6(s368))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s368) | node4(s368) | (~until5(s368)))),
% 14.40/10.18 inference(transitivity,[status(thm)],[27018, 27016])).
% 14.40/10.18 tff(27020,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s368) | (~until5(s368)) | xuntil6(s368))),
% 14.40/10.18 inference(quant_inst,[status(thm)],[])).
% 14.40/10.18 tff(27021,plain,
% 14.40/10.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s368) | node4(s368) | (~until5(s368))),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[27020, 27019])).
% 14.40/10.18 tff(27022,plain,
% 14.40/10.18 (xuntil6(s368) | (~until5(s368))),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[27021, 294, 27015])).
% 14.40/10.18 tff(27023,plain,
% 14.40/10.18 (~until5(s368)),
% 14.40/10.18 inference(unit_resolution,[status(thm)],[27022, 27002])).
% 14.40/10.18 tff(27024,plain,
% 14.40/10.18 (succ(s367, s368) <=> succ(s367, s368)),
% 14.40/10.18 inference(rewrite,[status(thm)],[])).
% 14.40/10.18 tff(27025,axiom,(succ(s367, s368)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound368')).
% 14.40/10.18 tff(27026,plain,
% 14.40/10.18 (succ(s367, s368)),
% 14.40/10.18 inference(modus_ponens,[status(thm)],[27025, 27024])).
% 14.40/10.18 tff(27027,plain,
% 14.40/10.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s367, s368)) | (~xuntil6(s367)) | until5(s368))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s367, s368)) | (~xuntil6(s367)) | until5(s368))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27028,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s367, s368)) | (~xuntil6(s367)) | until5(s368))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27029,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s367, s368)) | (~xuntil6(s367)) | until5(s368)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27028, 27027])).
% 14.40/10.19 tff(27030,plain,
% 14.40/10.19 ((~xuntil6(s367)) | until5(s368)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27029, 27026, 312])).
% 14.40/10.19 tff(27031,plain,
% 14.40/10.19 (~xuntil6(s367)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27030, 27023])).
% 14.40/10.19 tff(27032,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s367, s368)) | trans(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s367, s368)) | trans(s367, s368))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27033,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s367, s368)) | trans(s367, s368))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27034,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s367, s368)) | trans(s367, s368)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27033, 27032])).
% 14.40/10.19 tff(27035,plain,
% 14.40/10.19 (trans(s367, s368)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27034, 27026, 52])).
% 14.40/10.19 tff(27036,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s367, s368)) | (~always3(s367)) | always3(s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s367, s368)) | (~always3(s367)) | always3(s368))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27037,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s367, s368)) | (~always3(s367)) | always3(s368))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27038,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s367, s368)) | (~always3(s367)) | always3(s368)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27037, 27036])).
% 14.40/10.19 tff(27039,plain,
% 14.40/10.19 ((~always3(s367)) | always3(s368)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27038, 125, 27035])).
% 14.40/10.19 tff(27040,plain,
% 14.40/10.19 (~always3(s367)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27039, 27011])).
% 14.40/10.19 tff(27041,plain,
% 14.40/10.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s367) | (~node4(s367)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s367) | (~node4(s367)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27042,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s367) | (~node4(s367)))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27043,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s367) | (~node4(s367))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27042, 27041])).
% 14.40/10.19 tff(27044,plain,
% 14.40/10.19 (~node4(s367)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27043, 36, 27040])).
% 14.40/10.19 tff(27045,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s367) | node4(s367) | (~until5(s367)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s367) | node4(s367) | (~until5(s367)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27046,plain,
% 14.40/10.19 ((node4(s367) | (~until5(s367)) | xuntil6(s367)) <=> (xuntil6(s367) | node4(s367) | (~until5(s367)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27047,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s367) | (~until5(s367)) | xuntil6(s367))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s367) | node4(s367) | (~until5(s367))))),
% 14.40/10.19 inference(monotonicity,[status(thm)],[27046])).
% 14.40/10.19 tff(27048,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s367) | (~until5(s367)) | xuntil6(s367))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s367) | node4(s367) | (~until5(s367)))),
% 14.40/10.19 inference(transitivity,[status(thm)],[27047, 27045])).
% 14.40/10.19 tff(27049,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s367) | (~until5(s367)) | xuntil6(s367))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27050,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s367) | node4(s367) | (~until5(s367))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27049, 27048])).
% 14.40/10.19 tff(27051,plain,
% 14.40/10.19 (xuntil6(s367) | (~until5(s367))),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27050, 294, 27044])).
% 14.40/10.19 tff(27052,plain,
% 14.40/10.19 (~until5(s367)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27051, 27031])).
% 14.40/10.19 tff(27053,plain,
% 14.40/10.19 (succ(s366, s367) <=> succ(s366, s367)),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27054,axiom,(succ(s366, s367)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound367')).
% 14.40/10.19 tff(27055,plain,
% 14.40/10.19 (succ(s366, s367)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27054, 27053])).
% 14.40/10.19 tff(27056,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s366, s367)) | (~xuntil6(s366)) | until5(s367))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s366, s367)) | (~xuntil6(s366)) | until5(s367))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27057,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s366, s367)) | (~xuntil6(s366)) | until5(s367))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27058,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s366, s367)) | (~xuntil6(s366)) | until5(s367)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27057, 27056])).
% 14.40/10.19 tff(27059,plain,
% 14.40/10.19 ((~xuntil6(s366)) | until5(s367)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27058, 27055, 312])).
% 14.40/10.19 tff(27060,plain,
% 14.40/10.19 (~xuntil6(s366)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27059, 27052])).
% 14.40/10.19 tff(27061,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s366, s367)) | trans(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s366, s367)) | trans(s366, s367))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27062,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s366, s367)) | trans(s366, s367))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27063,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s366, s367)) | trans(s366, s367)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27062, 27061])).
% 14.40/10.19 tff(27064,plain,
% 14.40/10.19 (trans(s366, s367)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27063, 27055, 52])).
% 14.40/10.19 tff(27065,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s366, s367)) | (~always3(s366)) | always3(s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s366, s367)) | (~always3(s366)) | always3(s367))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27066,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s366, s367)) | (~always3(s366)) | always3(s367))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27067,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s366, s367)) | (~always3(s366)) | always3(s367)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27066, 27065])).
% 14.40/10.19 tff(27068,plain,
% 14.40/10.19 ((~always3(s366)) | always3(s367)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27067, 125, 27064])).
% 14.40/10.19 tff(27069,plain,
% 14.40/10.19 (~always3(s366)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27068, 27040])).
% 14.40/10.19 tff(27070,plain,
% 14.40/10.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s366) | (~node4(s366)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s366) | (~node4(s366)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27071,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s366) | (~node4(s366)))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27072,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s366) | (~node4(s366))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27071, 27070])).
% 14.40/10.19 tff(27073,plain,
% 14.40/10.19 (~node4(s366)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27072, 36, 27069])).
% 14.40/10.19 tff(27074,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s366) | node4(s366) | (~until5(s366)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s366) | node4(s366) | (~until5(s366)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27075,plain,
% 14.40/10.19 ((node4(s366) | (~until5(s366)) | xuntil6(s366)) <=> (xuntil6(s366) | node4(s366) | (~until5(s366)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27076,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s366) | (~until5(s366)) | xuntil6(s366))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s366) | node4(s366) | (~until5(s366))))),
% 14.40/10.19 inference(monotonicity,[status(thm)],[27075])).
% 14.40/10.19 tff(27077,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s366) | (~until5(s366)) | xuntil6(s366))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s366) | node4(s366) | (~until5(s366)))),
% 14.40/10.19 inference(transitivity,[status(thm)],[27076, 27074])).
% 14.40/10.19 tff(27078,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s366) | (~until5(s366)) | xuntil6(s366))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27079,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s366) | node4(s366) | (~until5(s366))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27078, 27077])).
% 14.40/10.19 tff(27080,plain,
% 14.40/10.19 (xuntil6(s366) | (~until5(s366))),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27079, 294, 27073])).
% 14.40/10.19 tff(27081,plain,
% 14.40/10.19 (~until5(s366)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27080, 27060])).
% 14.40/10.19 tff(27082,plain,
% 14.40/10.19 (succ(s365, s366) <=> succ(s365, s366)),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27083,axiom,(succ(s365, s366)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound366')).
% 14.40/10.19 tff(27084,plain,
% 14.40/10.19 (succ(s365, s366)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27083, 27082])).
% 14.40/10.19 tff(27085,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s365, s366)) | (~xuntil6(s365)) | until5(s366))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s365, s366)) | (~xuntil6(s365)) | until5(s366))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27086,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s365, s366)) | (~xuntil6(s365)) | until5(s366))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27087,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s365, s366)) | (~xuntil6(s365)) | until5(s366)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27086, 27085])).
% 14.40/10.19 tff(27088,plain,
% 14.40/10.19 ((~xuntil6(s365)) | until5(s366)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27087, 27084, 312])).
% 14.40/10.19 tff(27089,plain,
% 14.40/10.19 (~xuntil6(s365)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27088, 27081])).
% 14.40/10.19 tff(27090,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s365, s366)) | trans(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s365, s366)) | trans(s365, s366))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27091,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s365, s366)) | trans(s365, s366))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27092,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s365, s366)) | trans(s365, s366)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27091, 27090])).
% 14.40/10.19 tff(27093,plain,
% 14.40/10.19 (trans(s365, s366)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27092, 27084, 52])).
% 14.40/10.19 tff(27094,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s365, s366)) | (~always3(s365)) | always3(s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s365, s366)) | (~always3(s365)) | always3(s366))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27095,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s365, s366)) | (~always3(s365)) | always3(s366))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27096,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s365, s366)) | (~always3(s365)) | always3(s366)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27095, 27094])).
% 14.40/10.19 tff(27097,plain,
% 14.40/10.19 ((~always3(s365)) | always3(s366)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27096, 125, 27093])).
% 14.40/10.19 tff(27098,plain,
% 14.40/10.19 (~always3(s365)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27097, 27069])).
% 14.40/10.19 tff(27099,plain,
% 14.40/10.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s365) | (~node4(s365)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s365) | (~node4(s365)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27100,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s365) | (~node4(s365)))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27101,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s365) | (~node4(s365))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27100, 27099])).
% 14.40/10.19 tff(27102,plain,
% 14.40/10.19 (~node4(s365)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27101, 36, 27098])).
% 14.40/10.19 tff(27103,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s365) | node4(s365) | (~until5(s365)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s365) | node4(s365) | (~until5(s365)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27104,plain,
% 14.40/10.19 ((node4(s365) | (~until5(s365)) | xuntil6(s365)) <=> (xuntil6(s365) | node4(s365) | (~until5(s365)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27105,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s365) | (~until5(s365)) | xuntil6(s365))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s365) | node4(s365) | (~until5(s365))))),
% 14.40/10.19 inference(monotonicity,[status(thm)],[27104])).
% 14.40/10.19 tff(27106,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s365) | (~until5(s365)) | xuntil6(s365))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s365) | node4(s365) | (~until5(s365)))),
% 14.40/10.19 inference(transitivity,[status(thm)],[27105, 27103])).
% 14.40/10.19 tff(27107,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s365) | (~until5(s365)) | xuntil6(s365))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27108,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s365) | node4(s365) | (~until5(s365))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27107, 27106])).
% 14.40/10.19 tff(27109,plain,
% 14.40/10.19 (xuntil6(s365) | (~until5(s365))),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27108, 294, 27102])).
% 14.40/10.19 tff(27110,plain,
% 14.40/10.19 (~until5(s365)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27109, 27089])).
% 14.40/10.19 tff(27111,plain,
% 14.40/10.19 (succ(s364, s365) <=> succ(s364, s365)),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27112,axiom,(succ(s364, s365)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound365')).
% 14.40/10.19 tff(27113,plain,
% 14.40/10.19 (succ(s364, s365)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27112, 27111])).
% 14.40/10.19 tff(27114,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s364, s365)) | (~xuntil6(s364)) | until5(s365))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s364, s365)) | (~xuntil6(s364)) | until5(s365))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27115,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s364, s365)) | (~xuntil6(s364)) | until5(s365))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27116,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s364, s365)) | (~xuntil6(s364)) | until5(s365)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27115, 27114])).
% 14.40/10.19 tff(27117,plain,
% 14.40/10.19 ((~xuntil6(s364)) | until5(s365)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27116, 27113, 312])).
% 14.40/10.19 tff(27118,plain,
% 14.40/10.19 (~xuntil6(s364)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27117, 27110])).
% 14.40/10.19 tff(27119,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s364, s365)) | trans(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s364, s365)) | trans(s364, s365))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27120,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s364, s365)) | trans(s364, s365))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27121,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s364, s365)) | trans(s364, s365)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 14.40/10.19 tff(27122,plain,
% 14.40/10.19 (trans(s364, s365)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27121, 27113, 52])).
% 14.40/10.19 tff(27123,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s364, s365)) | (~always3(s364)) | always3(s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s364, s365)) | (~always3(s364)) | always3(s365))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27124,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s364, s365)) | (~always3(s364)) | always3(s365))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27125,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s364, s365)) | (~always3(s364)) | always3(s365)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27124, 27123])).
% 14.40/10.19 tff(27126,plain,
% 14.40/10.19 ((~always3(s364)) | always3(s365)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27125, 125, 27122])).
% 14.40/10.19 tff(27127,plain,
% 14.40/10.19 (~always3(s364)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27126, 27098])).
% 14.40/10.19 tff(27128,plain,
% 14.40/10.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s364) | (~node4(s364)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s364) | (~node4(s364)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27129,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s364) | (~node4(s364)))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27130,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s364) | (~node4(s364))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27129, 27128])).
% 14.40/10.19 tff(27131,plain,
% 14.40/10.19 (~node4(s364)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27130, 36, 27127])).
% 14.40/10.19 tff(27132,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s364) | node4(s364) | (~until5(s364)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s364) | node4(s364) | (~until5(s364)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27133,plain,
% 14.40/10.19 ((node4(s364) | (~until5(s364)) | xuntil6(s364)) <=> (xuntil6(s364) | node4(s364) | (~until5(s364)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27134,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s364) | (~until5(s364)) | xuntil6(s364))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s364) | node4(s364) | (~until5(s364))))),
% 14.40/10.19 inference(monotonicity,[status(thm)],[27133])).
% 14.40/10.19 tff(27135,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s364) | (~until5(s364)) | xuntil6(s364))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s364) | node4(s364) | (~until5(s364)))),
% 14.40/10.19 inference(transitivity,[status(thm)],[27134, 27132])).
% 14.40/10.19 tff(27136,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s364) | (~until5(s364)) | xuntil6(s364))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27137,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s364) | node4(s364) | (~until5(s364))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27136, 27135])).
% 14.40/10.19 tff(27138,plain,
% 14.40/10.19 (xuntil6(s364) | (~until5(s364))),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27137, 294, 27131])).
% 14.40/10.19 tff(27139,plain,
% 14.40/10.19 (~until5(s364)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27138, 27118])).
% 14.40/10.19 tff(27140,plain,
% 14.40/10.19 (succ(s363, s364) <=> succ(s363, s364)),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27141,axiom,(succ(s363, s364)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound364')).
% 14.40/10.19 tff(27142,plain,
% 14.40/10.19 (succ(s363, s364)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27141, 27140])).
% 14.40/10.19 tff(27143,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s363, s364)) | (~xuntil6(s363)) | until5(s364))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s363, s364)) | (~xuntil6(s363)) | until5(s364))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27144,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s363, s364)) | (~xuntil6(s363)) | until5(s364))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27145,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s363, s364)) | (~xuntil6(s363)) | until5(s364)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27144, 27143])).
% 14.40/10.19 tff(27146,plain,
% 14.40/10.19 ((~xuntil6(s363)) | until5(s364)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27145, 27142, 312])).
% 14.40/10.19 tff(27147,plain,
% 14.40/10.19 (~xuntil6(s363)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27146, 27139])).
% 14.40/10.19 tff(27148,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s363, s364)) | trans(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s363, s364)) | trans(s363, s364))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27149,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s363, s364)) | trans(s363, s364))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27150,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s363, s364)) | trans(s363, s364)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27149, 27148])).
% 14.40/10.19 tff(27151,plain,
% 14.40/10.19 (trans(s363, s364)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27150, 27142, 52])).
% 14.40/10.19 tff(27152,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s363, s364)) | (~always3(s363)) | always3(s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s363, s364)) | (~always3(s363)) | always3(s364))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27153,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s363, s364)) | (~always3(s363)) | always3(s364))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27154,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s363, s364)) | (~always3(s363)) | always3(s364)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27153, 27152])).
% 14.40/10.19 tff(27155,plain,
% 14.40/10.19 ((~always3(s363)) | always3(s364)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27154, 125, 27151])).
% 14.40/10.19 tff(27156,plain,
% 14.40/10.19 (~always3(s363)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27155, 27127])).
% 14.40/10.19 tff(27157,plain,
% 14.40/10.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s363) | (~node4(s363)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s363) | (~node4(s363)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27158,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s363) | (~node4(s363)))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27159,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s363) | (~node4(s363))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27158, 27157])).
% 14.40/10.19 tff(27160,plain,
% 14.40/10.19 (~node4(s363)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27159, 36, 27156])).
% 14.40/10.19 tff(27161,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s363) | node4(s363) | (~until5(s363)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s363) | node4(s363) | (~until5(s363)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27162,plain,
% 14.40/10.19 ((node4(s363) | (~until5(s363)) | xuntil6(s363)) <=> (xuntil6(s363) | node4(s363) | (~until5(s363)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27163,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s363) | (~until5(s363)) | xuntil6(s363))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s363) | node4(s363) | (~until5(s363))))),
% 14.40/10.19 inference(monotonicity,[status(thm)],[27162])).
% 14.40/10.19 tff(27164,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s363) | (~until5(s363)) | xuntil6(s363))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s363) | node4(s363) | (~until5(s363)))),
% 14.40/10.19 inference(transitivity,[status(thm)],[27163, 27161])).
% 14.40/10.19 tff(27165,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s363) | (~until5(s363)) | xuntil6(s363))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27166,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s363) | node4(s363) | (~until5(s363))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27165, 27164])).
% 14.40/10.19 tff(27167,plain,
% 14.40/10.19 (xuntil6(s363) | (~until5(s363))),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27166, 294, 27160])).
% 14.40/10.19 tff(27168,plain,
% 14.40/10.19 (~until5(s363)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27167, 27147])).
% 14.40/10.19 tff(27169,plain,
% 14.40/10.19 (succ(s362, s363) <=> succ(s362, s363)),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27170,axiom,(succ(s362, s363)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound363')).
% 14.40/10.19 tff(27171,plain,
% 14.40/10.19 (succ(s362, s363)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 14.40/10.19 tff(27172,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s362, s363)) | (~xuntil6(s362)) | until5(s363))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s362, s363)) | (~xuntil6(s362)) | until5(s363))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27173,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s362, s363)) | (~xuntil6(s362)) | until5(s363))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27174,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s362, s363)) | (~xuntil6(s362)) | until5(s363)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27173, 27172])).
% 14.40/10.19 tff(27175,plain,
% 14.40/10.19 ((~xuntil6(s362)) | until5(s363)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27174, 27171, 312])).
% 14.40/10.19 tff(27176,plain,
% 14.40/10.19 (~xuntil6(s362)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27175, 27168])).
% 14.40/10.19 tff(27177,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s362, s363)) | trans(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s362, s363)) | trans(s362, s363))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27178,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s362, s363)) | trans(s362, s363))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27179,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s362, s363)) | trans(s362, s363)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27178, 27177])).
% 14.40/10.19 tff(27180,plain,
% 14.40/10.19 (trans(s362, s363)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27179, 27171, 52])).
% 14.40/10.19 tff(27181,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s362, s363)) | (~always3(s362)) | always3(s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s362, s363)) | (~always3(s362)) | always3(s363))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27182,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s362, s363)) | (~always3(s362)) | always3(s363))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27183,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s362, s363)) | (~always3(s362)) | always3(s363)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27182, 27181])).
% 14.40/10.19 tff(27184,plain,
% 14.40/10.19 ((~always3(s362)) | always3(s363)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27183, 125, 27180])).
% 14.40/10.19 tff(27185,plain,
% 14.40/10.19 (~always3(s362)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27184, 27156])).
% 14.40/10.19 tff(27186,plain,
% 14.40/10.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s362) | (~node4(s362)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s362) | (~node4(s362)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27187,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s362) | (~node4(s362)))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27188,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s362) | (~node4(s362))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27187, 27186])).
% 14.40/10.19 tff(27189,plain,
% 14.40/10.19 (~node4(s362)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27188, 36, 27185])).
% 14.40/10.19 tff(27190,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s362) | node4(s362) | (~until5(s362)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s362) | node4(s362) | (~until5(s362)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27191,plain,
% 14.40/10.19 ((node4(s362) | (~until5(s362)) | xuntil6(s362)) <=> (xuntil6(s362) | node4(s362) | (~until5(s362)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27192,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s362) | (~until5(s362)) | xuntil6(s362))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s362) | node4(s362) | (~until5(s362))))),
% 14.40/10.19 inference(monotonicity,[status(thm)],[27191])).
% 14.40/10.19 tff(27193,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s362) | (~until5(s362)) | xuntil6(s362))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s362) | node4(s362) | (~until5(s362)))),
% 14.40/10.19 inference(transitivity,[status(thm)],[27192, 27190])).
% 14.40/10.19 tff(27194,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s362) | (~until5(s362)) | xuntil6(s362))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27195,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s362) | node4(s362) | (~until5(s362))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27194, 27193])).
% 14.40/10.19 tff(27196,plain,
% 14.40/10.19 (xuntil6(s362) | (~until5(s362))),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27195, 294, 27189])).
% 14.40/10.19 tff(27197,plain,
% 14.40/10.19 (~until5(s362)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27196, 27176])).
% 14.40/10.19 tff(27198,plain,
% 14.40/10.19 (succ(s361, s362) <=> succ(s361, s362)),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27199,axiom,(succ(s361, s362)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound362')).
% 14.40/10.19 tff(27200,plain,
% 14.40/10.19 (succ(s361, s362)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27199, 27198])).
% 14.40/10.19 tff(27201,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s361, s362)) | (~xuntil6(s361)) | until5(s362))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s361, s362)) | (~xuntil6(s361)) | until5(s362))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27202,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s361, s362)) | (~xuntil6(s361)) | until5(s362))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27203,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s361, s362)) | (~xuntil6(s361)) | until5(s362)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27202, 27201])).
% 14.40/10.19 tff(27204,plain,
% 14.40/10.19 ((~xuntil6(s361)) | until5(s362)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27203, 27200, 312])).
% 14.40/10.19 tff(27205,plain,
% 14.40/10.19 (~xuntil6(s361)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27204, 27197])).
% 14.40/10.19 tff(27206,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s361, s362)) | trans(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s361, s362)) | trans(s361, s362))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27207,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s361, s362)) | trans(s361, s362))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27208,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s361, s362)) | trans(s361, s362)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27207, 27206])).
% 14.40/10.19 tff(27209,plain,
% 14.40/10.19 (trans(s361, s362)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27208, 27200, 52])).
% 14.40/10.19 tff(27210,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s361, s362)) | (~always3(s361)) | always3(s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s361, s362)) | (~always3(s361)) | always3(s362))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27211,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s361, s362)) | (~always3(s361)) | always3(s362))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27212,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s361, s362)) | (~always3(s361)) | always3(s362)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 14.40/10.19 tff(27213,plain,
% 14.40/10.19 ((~always3(s361)) | always3(s362)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27212, 125, 27209])).
% 14.40/10.19 tff(27214,plain,
% 14.40/10.19 (~always3(s361)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27213, 27185])).
% 14.40/10.19 tff(27215,plain,
% 14.40/10.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s361) | (~node4(s361)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s361) | (~node4(s361)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27216,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s361) | (~node4(s361)))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27217,plain,
% 14.40/10.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s361) | (~node4(s361))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27216, 27215])).
% 14.40/10.19 tff(27218,plain,
% 14.40/10.19 (~node4(s361)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27217, 36, 27214])).
% 14.40/10.19 tff(27219,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s361) | node4(s361) | (~until5(s361)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s361) | node4(s361) | (~until5(s361)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27220,plain,
% 14.40/10.19 ((node4(s361) | (~until5(s361)) | xuntil6(s361)) <=> (xuntil6(s361) | node4(s361) | (~until5(s361)))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27221,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s361) | (~until5(s361)) | xuntil6(s361))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s361) | node4(s361) | (~until5(s361))))),
% 14.40/10.19 inference(monotonicity,[status(thm)],[27220])).
% 14.40/10.19 tff(27222,plain,
% 14.40/10.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s361) | (~until5(s361)) | xuntil6(s361))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s361) | node4(s361) | (~until5(s361)))),
% 14.40/10.19 inference(transitivity,[status(thm)],[27221, 27219])).
% 14.40/10.19 tff(27223,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s361) | (~until5(s361)) | xuntil6(s361))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27224,plain,
% 14.40/10.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s361) | node4(s361) | (~until5(s361))),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27223, 27222])).
% 14.40/10.19 tff(27225,plain,
% 14.40/10.19 (xuntil6(s361) | (~until5(s361))),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27224, 294, 27218])).
% 14.40/10.19 tff(27226,plain,
% 14.40/10.19 (~until5(s361)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27225, 27205])).
% 14.40/10.19 tff(27227,plain,
% 14.40/10.19 (succ(s360, s361) <=> succ(s360, s361)),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27228,axiom,(succ(s360, s361)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound361')).
% 14.40/10.19 tff(27229,plain,
% 14.40/10.19 (succ(s360, s361)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27228, 27227])).
% 14.40/10.19 tff(27230,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s360, s361)) | (~xuntil6(s360)) | until5(s361))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s360, s361)) | (~xuntil6(s360)) | until5(s361))),
% 14.40/10.19 inference(rewrite,[status(thm)],[])).
% 14.40/10.19 tff(27231,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s360, s361)) | (~xuntil6(s360)) | until5(s361))),
% 14.40/10.19 inference(quant_inst,[status(thm)],[])).
% 14.40/10.19 tff(27232,plain,
% 14.40/10.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s360, s361)) | (~xuntil6(s360)) | until5(s361)),
% 14.40/10.19 inference(modus_ponens,[status(thm)],[27231, 27230])).
% 14.40/10.19 tff(27233,plain,
% 14.40/10.19 ((~xuntil6(s360)) | until5(s361)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27232, 27229, 312])).
% 14.40/10.19 tff(27234,plain,
% 14.40/10.19 (~xuntil6(s360)),
% 14.40/10.19 inference(unit_resolution,[status(thm)],[27233, 27226])).
% 14.40/10.19 tff(27235,plain,
% 14.40/10.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s360, s361)) | trans(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s360, s361)) | trans(s360, s361))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27236,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s360, s361)) | trans(s360, s361))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27237,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s360, s361)) | trans(s360, s361)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27236, 27235])).
% 14.40/10.20 tff(27238,plain,
% 14.40/10.20 (trans(s360, s361)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27237, 27229, 52])).
% 14.40/10.20 tff(27239,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s360, s361)) | (~always3(s360)) | always3(s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s360, s361)) | (~always3(s360)) | always3(s361))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27240,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s360, s361)) | (~always3(s360)) | always3(s361))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27241,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s360, s361)) | (~always3(s360)) | always3(s361)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27240, 27239])).
% 14.40/10.20 tff(27242,plain,
% 14.40/10.20 ((~always3(s360)) | always3(s361)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27241, 125, 27238])).
% 14.40/10.20 tff(27243,plain,
% 14.40/10.20 (~always3(s360)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27242, 27214])).
% 14.40/10.20 tff(27244,plain,
% 14.40/10.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s360) | (~node4(s360)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s360) | (~node4(s360)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27245,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s360) | (~node4(s360)))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27246,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s360) | (~node4(s360))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27245, 27244])).
% 14.40/10.20 tff(27247,plain,
% 14.40/10.20 (~node4(s360)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27246, 36, 27243])).
% 14.40/10.20 tff(27248,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s360) | node4(s360) | (~until5(s360)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s360) | node4(s360) | (~until5(s360)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27249,plain,
% 14.40/10.20 ((node4(s360) | (~until5(s360)) | xuntil6(s360)) <=> (xuntil6(s360) | node4(s360) | (~until5(s360)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27250,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s360) | (~until5(s360)) | xuntil6(s360))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s360) | node4(s360) | (~until5(s360))))),
% 14.40/10.20 inference(monotonicity,[status(thm)],[27249])).
% 14.40/10.20 tff(27251,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s360) | (~until5(s360)) | xuntil6(s360))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s360) | node4(s360) | (~until5(s360)))),
% 14.40/10.20 inference(transitivity,[status(thm)],[27250, 27248])).
% 14.40/10.20 tff(27252,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s360) | (~until5(s360)) | xuntil6(s360))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27253,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s360) | node4(s360) | (~until5(s360))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27252, 27251])).
% 14.40/10.20 tff(27254,plain,
% 14.40/10.20 (xuntil6(s360) | (~until5(s360))),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27253, 294, 27247])).
% 14.40/10.20 tff(27255,plain,
% 14.40/10.20 (~until5(s360)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27254, 27234])).
% 14.40/10.20 tff(27256,plain,
% 14.40/10.20 (succ(s359, s360) <=> succ(s359, s360)),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27257,axiom,(succ(s359, s360)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound360')).
% 14.40/10.20 tff(27258,plain,
% 14.40/10.20 (succ(s359, s360)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27257, 27256])).
% 14.40/10.20 tff(27259,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s359, s360)) | (~xuntil6(s359)) | until5(s360))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s359, s360)) | (~xuntil6(s359)) | until5(s360))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27260,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s359, s360)) | (~xuntil6(s359)) | until5(s360))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27261,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s359, s360)) | (~xuntil6(s359)) | until5(s360)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27260, 27259])).
% 14.40/10.20 tff(27262,plain,
% 14.40/10.20 ((~xuntil6(s359)) | until5(s360)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27261, 27258, 312])).
% 14.40/10.20 tff(27263,plain,
% 14.40/10.20 (~xuntil6(s359)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27262, 27255])).
% 14.40/10.20 tff(27264,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s359, s360)) | trans(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s359, s360)) | trans(s359, s360))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27265,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s359, s360)) | trans(s359, s360))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27266,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s359, s360)) | trans(s359, s360)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27265, 27264])).
% 14.40/10.20 tff(27267,plain,
% 14.40/10.20 (trans(s359, s360)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27266, 27258, 52])).
% 14.40/10.20 tff(27268,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s359, s360)) | (~always3(s359)) | always3(s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s359, s360)) | (~always3(s359)) | always3(s360))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27269,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s359, s360)) | (~always3(s359)) | always3(s360))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27270,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s359, s360)) | (~always3(s359)) | always3(s360)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27269, 27268])).
% 14.40/10.20 tff(27271,plain,
% 14.40/10.20 ((~always3(s359)) | always3(s360)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27270, 125, 27267])).
% 14.40/10.20 tff(27272,plain,
% 14.40/10.20 (~always3(s359)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27271, 27243])).
% 14.40/10.20 tff(27273,plain,
% 14.40/10.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s359) | (~node4(s359)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s359) | (~node4(s359)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27274,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s359) | (~node4(s359)))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27275,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s359) | (~node4(s359))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27274, 27273])).
% 14.40/10.20 tff(27276,plain,
% 14.40/10.20 (~node4(s359)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27275, 36, 27272])).
% 14.40/10.20 tff(27277,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s359) | node4(s359) | (~until5(s359)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s359) | node4(s359) | (~until5(s359)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27278,plain,
% 14.40/10.20 ((node4(s359) | (~until5(s359)) | xuntil6(s359)) <=> (xuntil6(s359) | node4(s359) | (~until5(s359)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27279,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s359) | (~until5(s359)) | xuntil6(s359))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s359) | node4(s359) | (~until5(s359))))),
% 14.40/10.20 inference(monotonicity,[status(thm)],[27278])).
% 14.40/10.20 tff(27280,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s359) | (~until5(s359)) | xuntil6(s359))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s359) | node4(s359) | (~until5(s359)))),
% 14.40/10.20 inference(transitivity,[status(thm)],[27279, 27277])).
% 14.40/10.20 tff(27281,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s359) | (~until5(s359)) | xuntil6(s359))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27282,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s359) | node4(s359) | (~until5(s359))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27281, 27280])).
% 14.40/10.20 tff(27283,plain,
% 14.40/10.20 (xuntil6(s359) | (~until5(s359))),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27282, 294, 27276])).
% 14.40/10.20 tff(27284,plain,
% 14.40/10.20 (~until5(s359)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27283, 27263])).
% 14.40/10.20 tff(27285,plain,
% 14.40/10.20 (succ(s358, s359) <=> succ(s358, s359)),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27286,axiom,(succ(s358, s359)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound359')).
% 14.40/10.20 tff(27287,plain,
% 14.40/10.20 (succ(s358, s359)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27286, 27285])).
% 14.40/10.20 tff(27288,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s358, s359)) | (~xuntil6(s358)) | until5(s359))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s358, s359)) | (~xuntil6(s358)) | until5(s359))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27289,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s358, s359)) | (~xuntil6(s358)) | until5(s359))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27290,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s358, s359)) | (~xuntil6(s358)) | until5(s359)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27289, 27288])).
% 14.40/10.20 tff(27291,plain,
% 14.40/10.20 ((~xuntil6(s358)) | until5(s359)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27290, 27287, 312])).
% 14.40/10.20 tff(27292,plain,
% 14.40/10.20 (~xuntil6(s358)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27291, 27284])).
% 14.40/10.20 tff(27293,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s358, s359)) | trans(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s358, s359)) | trans(s358, s359))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27294,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s358, s359)) | trans(s358, s359))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27295,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s358, s359)) | trans(s358, s359)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27294, 27293])).
% 14.40/10.20 tff(27296,plain,
% 14.40/10.20 (trans(s358, s359)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27295, 27287, 52])).
% 14.40/10.20 tff(27297,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s358, s359)) | (~always3(s358)) | always3(s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s358, s359)) | (~always3(s358)) | always3(s359))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27298,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s358, s359)) | (~always3(s358)) | always3(s359))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27299,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s358, s359)) | (~always3(s358)) | always3(s359)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27298, 27297])).
% 14.40/10.20 tff(27300,plain,
% 14.40/10.20 ((~always3(s358)) | always3(s359)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27299, 125, 27296])).
% 14.40/10.20 tff(27301,plain,
% 14.40/10.20 (~always3(s358)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27300, 27272])).
% 14.40/10.20 tff(27302,plain,
% 14.40/10.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s358) | (~node4(s358)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s358) | (~node4(s358)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27303,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s358) | (~node4(s358)))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27304,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s358) | (~node4(s358))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27303, 27302])).
% 14.40/10.20 tff(27305,plain,
% 14.40/10.20 (~node4(s358)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27304, 36, 27301])).
% 14.40/10.20 tff(27306,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s358) | node4(s358) | (~until5(s358)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s358) | node4(s358) | (~until5(s358)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27307,plain,
% 14.40/10.20 ((node4(s358) | (~until5(s358)) | xuntil6(s358)) <=> (xuntil6(s358) | node4(s358) | (~until5(s358)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27308,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s358) | (~until5(s358)) | xuntil6(s358))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s358) | node4(s358) | (~until5(s358))))),
% 14.40/10.20 inference(monotonicity,[status(thm)],[27307])).
% 14.40/10.20 tff(27309,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s358) | (~until5(s358)) | xuntil6(s358))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s358) | node4(s358) | (~until5(s358)))),
% 14.40/10.20 inference(transitivity,[status(thm)],[27308, 27306])).
% 14.40/10.20 tff(27310,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s358) | (~until5(s358)) | xuntil6(s358))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27311,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s358) | node4(s358) | (~until5(s358))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27310, 27309])).
% 14.40/10.20 tff(27312,plain,
% 14.40/10.20 (xuntil6(s358) | (~until5(s358))),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27311, 294, 27305])).
% 14.40/10.20 tff(27313,plain,
% 14.40/10.20 (~until5(s358)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27312, 27292])).
% 14.40/10.20 tff(27314,plain,
% 14.40/10.20 (succ(s357, s358) <=> succ(s357, s358)),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27315,axiom,(succ(s357, s358)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound358')).
% 14.40/10.20 tff(27316,plain,
% 14.40/10.20 (succ(s357, s358)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27315, 27314])).
% 14.40/10.20 tff(27317,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s357, s358)) | (~xuntil6(s357)) | until5(s358))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s357, s358)) | (~xuntil6(s357)) | until5(s358))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27318,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s357, s358)) | (~xuntil6(s357)) | until5(s358))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27319,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s357, s358)) | (~xuntil6(s357)) | until5(s358)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27318, 27317])).
% 14.40/10.20 tff(27320,plain,
% 14.40/10.20 ((~xuntil6(s357)) | until5(s358)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27319, 27316, 312])).
% 14.40/10.20 tff(27321,plain,
% 14.40/10.20 (~xuntil6(s357)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27320, 27313])).
% 14.40/10.20 tff(27322,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s357, s358)) | trans(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s357, s358)) | trans(s357, s358))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27323,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s357, s358)) | trans(s357, s358))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27324,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s357, s358)) | trans(s357, s358)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27323, 27322])).
% 14.40/10.20 tff(27325,plain,
% 14.40/10.20 (trans(s357, s358)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27324, 27316, 52])).
% 14.40/10.20 tff(27326,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s357, s358)) | (~always3(s357)) | always3(s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s357, s358)) | (~always3(s357)) | always3(s358))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27327,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s357, s358)) | (~always3(s357)) | always3(s358))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27328,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s357, s358)) | (~always3(s357)) | always3(s358)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27327, 27326])).
% 14.40/10.20 tff(27329,plain,
% 14.40/10.20 ((~always3(s357)) | always3(s358)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27328, 125, 27325])).
% 14.40/10.20 tff(27330,plain,
% 14.40/10.20 (~always3(s357)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27329, 27301])).
% 14.40/10.20 tff(27331,plain,
% 14.40/10.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s357) | (~node4(s357)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s357) | (~node4(s357)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27332,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s357) | (~node4(s357)))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27333,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s357) | (~node4(s357))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27332, 27331])).
% 14.40/10.20 tff(27334,plain,
% 14.40/10.20 (~node4(s357)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27333, 36, 27330])).
% 14.40/10.20 tff(27335,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s357) | node4(s357) | (~until5(s357)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s357) | node4(s357) | (~until5(s357)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27336,plain,
% 14.40/10.20 ((node4(s357) | (~until5(s357)) | xuntil6(s357)) <=> (xuntil6(s357) | node4(s357) | (~until5(s357)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27337,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s357) | (~until5(s357)) | xuntil6(s357))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s357) | node4(s357) | (~until5(s357))))),
% 14.40/10.20 inference(monotonicity,[status(thm)],[27336])).
% 14.40/10.20 tff(27338,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s357) | (~until5(s357)) | xuntil6(s357))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s357) | node4(s357) | (~until5(s357)))),
% 14.40/10.20 inference(transitivity,[status(thm)],[27337, 27335])).
% 14.40/10.20 tff(27339,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s357) | (~until5(s357)) | xuntil6(s357))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27340,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s357) | node4(s357) | (~until5(s357))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27339, 27338])).
% 14.40/10.20 tff(27341,plain,
% 14.40/10.20 (xuntil6(s357) | (~until5(s357))),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27340, 294, 27334])).
% 14.40/10.20 tff(27342,plain,
% 14.40/10.20 (~until5(s357)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27341, 27321])).
% 14.40/10.20 tff(27343,plain,
% 14.40/10.20 (succ(s356, s357) <=> succ(s356, s357)),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27344,axiom,(succ(s356, s357)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound357')).
% 14.40/10.20 tff(27345,plain,
% 14.40/10.20 (succ(s356, s357)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27344, 27343])).
% 14.40/10.20 tff(27346,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s356, s357)) | (~xuntil6(s356)) | until5(s357))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s356, s357)) | (~xuntil6(s356)) | until5(s357))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27347,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s356, s357)) | (~xuntil6(s356)) | until5(s357))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27348,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s356, s357)) | (~xuntil6(s356)) | until5(s357)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27347, 27346])).
% 14.40/10.20 tff(27349,plain,
% 14.40/10.20 ((~xuntil6(s356)) | until5(s357)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27348, 27345, 312])).
% 14.40/10.20 tff(27350,plain,
% 14.40/10.20 (~xuntil6(s356)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27349, 27342])).
% 14.40/10.20 tff(27351,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s356, s357)) | trans(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s356, s357)) | trans(s356, s357))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27352,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s356, s357)) | trans(s356, s357))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27353,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s356, s357)) | trans(s356, s357)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27352, 27351])).
% 14.40/10.20 tff(27354,plain,
% 14.40/10.20 (trans(s356, s357)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27353, 27345, 52])).
% 14.40/10.20 tff(27355,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s356, s357)) | (~always3(s356)) | always3(s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s356, s357)) | (~always3(s356)) | always3(s357))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27356,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s356, s357)) | (~always3(s356)) | always3(s357))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27357,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s356, s357)) | (~always3(s356)) | always3(s357)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27356, 27355])).
% 14.40/10.20 tff(27358,plain,
% 14.40/10.20 ((~always3(s356)) | always3(s357)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27357, 125, 27354])).
% 14.40/10.20 tff(27359,plain,
% 14.40/10.20 (~always3(s356)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27358, 27330])).
% 14.40/10.20 tff(27360,plain,
% 14.40/10.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s356) | (~node4(s356)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s356) | (~node4(s356)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27361,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s356) | (~node4(s356)))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27362,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s356) | (~node4(s356))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27361, 27360])).
% 14.40/10.20 tff(27363,plain,
% 14.40/10.20 (~node4(s356)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27362, 36, 27359])).
% 14.40/10.20 tff(27364,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s356) | node4(s356) | (~until5(s356)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s356) | node4(s356) | (~until5(s356)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27365,plain,
% 14.40/10.20 ((node4(s356) | (~until5(s356)) | xuntil6(s356)) <=> (xuntil6(s356) | node4(s356) | (~until5(s356)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27366,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s356) | (~until5(s356)) | xuntil6(s356))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s356) | node4(s356) | (~until5(s356))))),
% 14.40/10.20 inference(monotonicity,[status(thm)],[27365])).
% 14.40/10.20 tff(27367,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s356) | (~until5(s356)) | xuntil6(s356))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s356) | node4(s356) | (~until5(s356)))),
% 14.40/10.20 inference(transitivity,[status(thm)],[27366, 27364])).
% 14.40/10.20 tff(27368,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s356) | (~until5(s356)) | xuntil6(s356))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27369,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s356) | node4(s356) | (~until5(s356))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27368, 27367])).
% 14.40/10.20 tff(27370,plain,
% 14.40/10.20 (xuntil6(s356) | (~until5(s356))),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27369, 294, 27363])).
% 14.40/10.20 tff(27371,plain,
% 14.40/10.20 (~until5(s356)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27370, 27350])).
% 14.40/10.20 tff(27372,plain,
% 14.40/10.20 (succ(s355, s356) <=> succ(s355, s356)),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27373,axiom,(succ(s355, s356)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound356')).
% 14.40/10.20 tff(27374,plain,
% 14.40/10.20 (succ(s355, s356)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27373, 27372])).
% 14.40/10.20 tff(27375,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s355, s356)) | (~xuntil6(s355)) | until5(s356))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s355, s356)) | (~xuntil6(s355)) | until5(s356))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27376,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s355, s356)) | (~xuntil6(s355)) | until5(s356))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27377,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s355, s356)) | (~xuntil6(s355)) | until5(s356)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27376, 27375])).
% 14.40/10.20 tff(27378,plain,
% 14.40/10.20 ((~xuntil6(s355)) | until5(s356)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27377, 27374, 312])).
% 14.40/10.20 tff(27379,plain,
% 14.40/10.20 (~xuntil6(s355)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27378, 27371])).
% 14.40/10.20 tff(27380,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s355, s356)) | trans(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s355, s356)) | trans(s355, s356))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27381,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s355, s356)) | trans(s355, s356))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27382,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s355, s356)) | trans(s355, s356)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27381, 27380])).
% 14.40/10.20 tff(27383,plain,
% 14.40/10.20 (trans(s355, s356)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27382, 27374, 52])).
% 14.40/10.20 tff(27384,plain,
% 14.40/10.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s355, s356)) | (~always3(s355)) | always3(s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s355, s356)) | (~always3(s355)) | always3(s356))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27385,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s355, s356)) | (~always3(s355)) | always3(s356))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27386,plain,
% 14.40/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s355, s356)) | (~always3(s355)) | always3(s356)),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27385, 27384])).
% 14.40/10.20 tff(27387,plain,
% 14.40/10.20 ((~always3(s355)) | always3(s356)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27386, 125, 27383])).
% 14.40/10.20 tff(27388,plain,
% 14.40/10.20 (~always3(s355)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27387, 27359])).
% 14.40/10.20 tff(27389,plain,
% 14.40/10.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s355) | (~node4(s355)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s355) | (~node4(s355)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27390,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s355) | (~node4(s355)))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27391,plain,
% 14.40/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s355) | (~node4(s355))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27390, 27389])).
% 14.40/10.20 tff(27392,plain,
% 14.40/10.20 (~node4(s355)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27391, 36, 27388])).
% 14.40/10.20 tff(27393,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s355) | node4(s355) | (~until5(s355)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s355) | node4(s355) | (~until5(s355)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27394,plain,
% 14.40/10.20 ((node4(s355) | (~until5(s355)) | xuntil6(s355)) <=> (xuntil6(s355) | node4(s355) | (~until5(s355)))),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27395,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s355) | (~until5(s355)) | xuntil6(s355))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s355) | node4(s355) | (~until5(s355))))),
% 14.40/10.20 inference(monotonicity,[status(thm)],[27394])).
% 14.40/10.20 tff(27396,plain,
% 14.40/10.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s355) | (~until5(s355)) | xuntil6(s355))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s355) | node4(s355) | (~until5(s355)))),
% 14.40/10.20 inference(transitivity,[status(thm)],[27395, 27393])).
% 14.40/10.20 tff(27397,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s355) | (~until5(s355)) | xuntil6(s355))),
% 14.40/10.20 inference(quant_inst,[status(thm)],[])).
% 14.40/10.20 tff(27398,plain,
% 14.40/10.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s355) | node4(s355) | (~until5(s355))),
% 14.40/10.20 inference(modus_ponens,[status(thm)],[27397, 27396])).
% 14.40/10.20 tff(27399,plain,
% 14.40/10.20 (xuntil6(s355) | (~until5(s355))),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27398, 294, 27392])).
% 14.40/10.20 tff(27400,plain,
% 14.40/10.20 (~until5(s355)),
% 14.40/10.20 inference(unit_resolution,[status(thm)],[27399, 27379])).
% 14.40/10.20 tff(27401,plain,
% 14.40/10.20 (succ(s354, s355) <=> succ(s354, s355)),
% 14.40/10.20 inference(rewrite,[status(thm)],[])).
% 14.40/10.20 tff(27402,axiom,(succ(s354, s355)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound355')).
% 14.50/10.20 tff(27403,plain,
% 14.50/10.20 (succ(s354, s355)),
% 14.50/10.20 inference(modus_ponens,[status(thm)],[27402, 27401])).
% 14.50/10.20 tff(27404,plain,
% 14.50/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s354, s355)) | (~xuntil6(s354)) | until5(s355))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s354, s355)) | (~xuntil6(s354)) | until5(s355))),
% 14.50/10.20 inference(rewrite,[status(thm)],[])).
% 14.50/10.20 tff(27405,plain,
% 14.50/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s354, s355)) | (~xuntil6(s354)) | until5(s355))),
% 14.50/10.20 inference(quant_inst,[status(thm)],[])).
% 14.50/10.20 tff(27406,plain,
% 14.50/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s354, s355)) | (~xuntil6(s354)) | until5(s355)),
% 14.50/10.20 inference(modus_ponens,[status(thm)],[27405, 27404])).
% 14.50/10.20 tff(27407,plain,
% 14.50/10.20 ((~xuntil6(s354)) | until5(s355)),
% 14.50/10.20 inference(unit_resolution,[status(thm)],[27406, 27403, 312])).
% 14.50/10.20 tff(27408,plain,
% 14.50/10.20 (~xuntil6(s354)),
% 14.50/10.20 inference(unit_resolution,[status(thm)],[27407, 27400])).
% 14.50/10.20 tff(27409,plain,
% 14.50/10.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s354, s355)) | trans(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s354, s355)) | trans(s354, s355))),
% 14.50/10.20 inference(rewrite,[status(thm)],[])).
% 14.50/10.20 tff(27410,plain,
% 14.50/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s354, s355)) | trans(s354, s355))),
% 14.50/10.20 inference(quant_inst,[status(thm)],[])).
% 14.50/10.20 tff(27411,plain,
% 14.50/10.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s354, s355)) | trans(s354, s355)),
% 14.50/10.20 inference(modus_ponens,[status(thm)],[27410, 27409])).
% 14.50/10.20 tff(27412,plain,
% 14.50/10.20 (trans(s354, s355)),
% 14.50/10.20 inference(unit_resolution,[status(thm)],[27411, 27403, 52])).
% 14.50/10.20 tff(27413,plain,
% 14.50/10.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s354, s355)) | (~always3(s354)) | always3(s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s354, s355)) | (~always3(s354)) | always3(s355))),
% 14.50/10.20 inference(rewrite,[status(thm)],[])).
% 14.50/10.20 tff(27414,plain,
% 14.50/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s354, s355)) | (~always3(s354)) | always3(s355))),
% 14.50/10.20 inference(quant_inst,[status(thm)],[])).
% 14.50/10.20 tff(27415,plain,
% 14.50/10.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s354, s355)) | (~always3(s354)) | always3(s355)),
% 14.50/10.20 inference(modus_ponens,[status(thm)],[27414, 27413])).
% 14.50/10.20 tff(27416,plain,
% 14.50/10.20 ((~always3(s354)) | always3(s355)),
% 14.50/10.20 inference(unit_resolution,[status(thm)],[27415, 125, 27412])).
% 14.50/10.20 tff(27417,plain,
% 14.50/10.20 (~always3(s354)),
% 14.50/10.20 inference(unit_resolution,[status(thm)],[27416, 27388])).
% 14.50/10.20 tff(27418,plain,
% 14.50/10.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s354) | (~node4(s354)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s354) | (~node4(s354)))),
% 14.50/10.20 inference(rewrite,[status(thm)],[])).
% 14.50/10.20 tff(27419,plain,
% 14.50/10.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s354) | (~node4(s354)))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27420,plain,
% 14.50/10.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s354) | (~node4(s354))),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 14.50/10.21 tff(27421,plain,
% 14.50/10.21 (~node4(s354)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27420, 36, 27417])).
% 14.50/10.21 tff(27422,plain,
% 14.50/10.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s354) | node4(s354) | (~until5(s354)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s354) | node4(s354) | (~until5(s354)))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27423,plain,
% 14.50/10.21 ((node4(s354) | (~until5(s354)) | xuntil6(s354)) <=> (xuntil6(s354) | node4(s354) | (~until5(s354)))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27424,plain,
% 14.50/10.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s354) | (~until5(s354)) | xuntil6(s354))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s354) | node4(s354) | (~until5(s354))))),
% 14.50/10.21 inference(monotonicity,[status(thm)],[27423])).
% 14.50/10.21 tff(27425,plain,
% 14.50/10.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s354) | (~until5(s354)) | xuntil6(s354))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s354) | node4(s354) | (~until5(s354)))),
% 14.50/10.21 inference(transitivity,[status(thm)],[27424, 27422])).
% 14.50/10.21 tff(27426,plain,
% 14.50/10.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s354) | (~until5(s354)) | xuntil6(s354))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27427,plain,
% 14.50/10.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s354) | node4(s354) | (~until5(s354))),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27426, 27425])).
% 14.50/10.21 tff(27428,plain,
% 14.50/10.21 (xuntil6(s354) | (~until5(s354))),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27427, 294, 27421])).
% 14.50/10.21 tff(27429,plain,
% 14.50/10.21 (~until5(s354)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27428, 27408])).
% 14.50/10.21 tff(27430,plain,
% 14.50/10.21 (succ(s353, s354) <=> succ(s353, s354)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27431,axiom,(succ(s353, s354)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound354')).
% 14.50/10.21 tff(27432,plain,
% 14.50/10.21 (succ(s353, s354)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27431, 27430])).
% 14.50/10.21 tff(27433,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s353, s354)) | (~xuntil6(s353)) | until5(s354))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s353, s354)) | (~xuntil6(s353)) | until5(s354))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27434,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s353, s354)) | (~xuntil6(s353)) | until5(s354))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27435,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s353, s354)) | (~xuntil6(s353)) | until5(s354)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27434, 27433])).
% 14.50/10.21 tff(27436,plain,
% 14.50/10.21 ((~xuntil6(s353)) | until5(s354)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27435, 27432, 312])).
% 14.50/10.21 tff(27437,plain,
% 14.50/10.21 (~xuntil6(s353)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27436, 27429])).
% 14.50/10.21 tff(27438,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s353, s354)) | trans(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s353, s354)) | trans(s353, s354))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27439,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s353, s354)) | trans(s353, s354))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27440,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s353, s354)) | trans(s353, s354)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27439, 27438])).
% 14.50/10.21 tff(27441,plain,
% 14.50/10.21 (trans(s353, s354)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27440, 27432, 52])).
% 14.50/10.21 tff(27442,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s353, s354)) | (~always3(s353)) | always3(s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s353, s354)) | (~always3(s353)) | always3(s354))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27443,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s353, s354)) | (~always3(s353)) | always3(s354))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27444,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s353, s354)) | (~always3(s353)) | always3(s354)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27443, 27442])).
% 14.50/10.21 tff(27445,plain,
% 14.50/10.21 ((~always3(s353)) | always3(s354)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27444, 125, 27441])).
% 14.50/10.21 tff(27446,plain,
% 14.50/10.21 (~always3(s353)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27445, 27417])).
% 14.50/10.21 tff(27447,plain,
% 14.50/10.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s353) | (~node4(s353)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s353) | (~node4(s353)))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27448,plain,
% 14.50/10.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s353) | (~node4(s353)))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27449,plain,
% 14.50/10.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s353) | (~node4(s353))),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27448, 27447])).
% 14.50/10.21 tff(27450,plain,
% 14.50/10.21 (~node4(s353)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27449, 36, 27446])).
% 14.50/10.21 tff(27451,plain,
% 14.50/10.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s353) | node4(s353) | (~until5(s353)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s353) | node4(s353) | (~until5(s353)))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27452,plain,
% 14.50/10.21 ((node4(s353) | (~until5(s353)) | xuntil6(s353)) <=> (xuntil6(s353) | node4(s353) | (~until5(s353)))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27453,plain,
% 14.50/10.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s353) | (~until5(s353)) | xuntil6(s353))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s353) | node4(s353) | (~until5(s353))))),
% 14.50/10.21 inference(monotonicity,[status(thm)],[27452])).
% 14.50/10.21 tff(27454,plain,
% 14.50/10.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s353) | (~until5(s353)) | xuntil6(s353))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s353) | node4(s353) | (~until5(s353)))),
% 14.50/10.21 inference(transitivity,[status(thm)],[27453, 27451])).
% 14.50/10.21 tff(27455,plain,
% 14.50/10.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s353) | (~until5(s353)) | xuntil6(s353))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27456,plain,
% 14.50/10.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s353) | node4(s353) | (~until5(s353))),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27455, 27454])).
% 14.50/10.21 tff(27457,plain,
% 14.50/10.21 (xuntil6(s353) | (~until5(s353))),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27456, 294, 27450])).
% 14.50/10.21 tff(27458,plain,
% 14.50/10.21 (~until5(s353)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27457, 27437])).
% 14.50/10.21 tff(27459,plain,
% 14.50/10.21 (succ(s352, s353) <=> succ(s352, s353)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27460,axiom,(succ(s352, s353)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound353')).
% 14.50/10.21 tff(27461,plain,
% 14.50/10.21 (succ(s352, s353)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27460, 27459])).
% 14.50/10.21 tff(27462,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s352, s353)) | (~xuntil6(s352)) | until5(s353))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s352, s353)) | (~xuntil6(s352)) | until5(s353))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27463,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s352, s353)) | (~xuntil6(s352)) | until5(s353))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27464,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s352, s353)) | (~xuntil6(s352)) | until5(s353)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27463, 27462])).
% 14.50/10.21 tff(27465,plain,
% 14.50/10.21 ((~xuntil6(s352)) | until5(s353)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27464, 27461, 312])).
% 14.50/10.21 tff(27466,plain,
% 14.50/10.21 (~xuntil6(s352)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27465, 27458])).
% 14.50/10.21 tff(27467,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s352, s353)) | trans(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s352, s353)) | trans(s352, s353))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27468,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s352, s353)) | trans(s352, s353))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27469,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s352, s353)) | trans(s352, s353)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27468, 27467])).
% 14.50/10.21 tff(27470,plain,
% 14.50/10.21 (trans(s352, s353)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27469, 27461, 52])).
% 14.50/10.21 tff(27471,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s352, s353)) | (~always3(s352)) | always3(s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s352, s353)) | (~always3(s352)) | always3(s353))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27472,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s352, s353)) | (~always3(s352)) | always3(s353))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27473,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s352, s353)) | (~always3(s352)) | always3(s353)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27472, 27471])).
% 14.50/10.21 tff(27474,plain,
% 14.50/10.21 ((~always3(s352)) | always3(s353)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27473, 125, 27470])).
% 14.50/10.21 tff(27475,plain,
% 14.50/10.21 (~always3(s352)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27474, 27446])).
% 14.50/10.21 tff(27476,plain,
% 14.50/10.21 (succ(s351, s352) <=> succ(s351, s352)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27477,axiom,(succ(s351, s352)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound352')).
% 14.50/10.21 tff(27478,plain,
% 14.50/10.21 (succ(s351, s352)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27477, 27476])).
% 14.50/10.21 tff(27479,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s351, s352)) | trans(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s351, s352)) | trans(s351, s352))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27480,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s351, s352)) | trans(s351, s352))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27481,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s351, s352)) | trans(s351, s352)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27480, 27479])).
% 14.50/10.21 tff(27482,plain,
% 14.50/10.21 (trans(s351, s352)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27481, 27478, 52])).
% 14.50/10.21 tff(27483,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s351, s352)) | (~always3(s351)) | always3(s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s351, s352)) | (~always3(s351)) | always3(s352))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27484,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s351, s352)) | (~always3(s351)) | always3(s352))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27485,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s351, s352)) | (~always3(s351)) | always3(s352)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27484, 27483])).
% 14.50/10.21 tff(27486,plain,
% 14.50/10.21 ((~always3(s351)) | always3(s352)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27485, 125, 27482])).
% 14.50/10.21 tff(27487,plain,
% 14.50/10.21 (~always3(s351)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27486, 27475])).
% 14.50/10.21 tff(27488,plain,
% 14.50/10.21 (succ(s350, s351) <=> succ(s350, s351)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27489,axiom,(succ(s350, s351)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound351')).
% 14.50/10.21 tff(27490,plain,
% 14.50/10.21 (succ(s350, s351)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27489, 27488])).
% 14.50/10.21 tff(27491,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s350, s351)) | trans(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s350, s351)) | trans(s350, s351))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27492,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s350, s351)) | trans(s350, s351))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27493,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s350, s351)) | trans(s350, s351)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27492, 27491])).
% 14.50/10.21 tff(27494,plain,
% 14.50/10.21 (trans(s350, s351)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27493, 27490, 52])).
% 14.50/10.21 tff(27495,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s350, s351)) | (~always3(s350)) | always3(s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s350, s351)) | (~always3(s350)) | always3(s351))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27496,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s350, s351)) | (~always3(s350)) | always3(s351))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27497,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s350, s351)) | (~always3(s350)) | always3(s351)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27496, 27495])).
% 14.50/10.21 tff(27498,plain,
% 14.50/10.21 ((~always3(s350)) | always3(s351)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27497, 125, 27494])).
% 14.50/10.21 tff(27499,plain,
% 14.50/10.21 (~always3(s350)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27498, 27487])).
% 14.50/10.21 tff(27500,plain,
% 14.50/10.21 (succ(s349, s350) <=> succ(s349, s350)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27501,axiom,(succ(s349, s350)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound350')).
% 14.50/10.21 tff(27502,plain,
% 14.50/10.21 (succ(s349, s350)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27501, 27500])).
% 14.50/10.21 tff(27503,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s349, s350)) | trans(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s349, s350)) | trans(s349, s350))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27504,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s349, s350)) | trans(s349, s350))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27505,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s349, s350)) | trans(s349, s350)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27504, 27503])).
% 14.50/10.21 tff(27506,plain,
% 14.50/10.21 (trans(s349, s350)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27505, 27502, 52])).
% 14.50/10.21 tff(27507,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s349, s350)) | (~always3(s349)) | always3(s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s349, s350)) | (~always3(s349)) | always3(s350))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27508,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s349, s350)) | (~always3(s349)) | always3(s350))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27509,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s349, s350)) | (~always3(s349)) | always3(s350)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27508, 27507])).
% 14.50/10.21 tff(27510,plain,
% 14.50/10.21 ((~always3(s349)) | always3(s350)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27509, 125, 27506])).
% 14.50/10.21 tff(27511,plain,
% 14.50/10.21 (~always3(s349)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27510, 27499])).
% 14.50/10.21 tff(27512,plain,
% 14.50/10.21 (succ(s348, s349) <=> succ(s348, s349)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27513,axiom,(succ(s348, s349)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound349')).
% 14.50/10.21 tff(27514,plain,
% 14.50/10.21 (succ(s348, s349)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27513, 27512])).
% 14.50/10.21 tff(27515,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27516,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27517,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27516, 27515])).
% 14.50/10.21 tff(27518,plain,
% 14.50/10.21 (trans(s348, s349)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27517, 27514, 52])).
% 14.50/10.21 tff(27519,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s348, s349)) | (~always3(s348)) | always3(s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s348, s349)) | (~always3(s348)) | always3(s349))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27520,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s348, s349)) | (~always3(s348)) | always3(s349))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27521,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s348, s349)) | (~always3(s348)) | always3(s349)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27520, 27519])).
% 14.50/10.21 tff(27522,plain,
% 14.50/10.21 ((~always3(s348)) | always3(s349)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27521, 125, 27518])).
% 14.50/10.21 tff(27523,plain,
% 14.50/10.21 (~always3(s348)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27522, 27511])).
% 14.50/10.21 tff(27524,plain,
% 14.50/10.21 (succ(s347, s348) <=> succ(s347, s348)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27525,axiom,(succ(s347, s348)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound348')).
% 14.50/10.21 tff(27526,plain,
% 14.50/10.21 (succ(s347, s348)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27525, 27524])).
% 14.50/10.21 tff(27527,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27528,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27529,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27528, 27527])).
% 14.50/10.21 tff(27530,plain,
% 14.50/10.21 (trans(s347, s348)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27529, 27526, 52])).
% 14.50/10.21 tff(27531,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s347, s348)) | (~always3(s347)) | always3(s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s347, s348)) | (~always3(s347)) | always3(s348))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27532,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s347, s348)) | (~always3(s347)) | always3(s348))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27533,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s347, s348)) | (~always3(s347)) | always3(s348)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27532, 27531])).
% 14.50/10.21 tff(27534,plain,
% 14.50/10.21 ((~always3(s347)) | always3(s348)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27533, 125, 27530])).
% 14.50/10.21 tff(27535,plain,
% 14.50/10.21 (~always3(s347)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27534, 27523])).
% 14.50/10.21 tff(27536,plain,
% 14.50/10.21 (succ(s346, s347) <=> succ(s346, s347)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27537,axiom,(succ(s346, s347)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound347')).
% 14.50/10.21 tff(27538,plain,
% 14.50/10.21 (succ(s346, s347)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27537, 27536])).
% 14.50/10.21 tff(27539,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27540,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27541,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27540, 27539])).
% 14.50/10.21 tff(27542,plain,
% 14.50/10.21 (trans(s346, s347)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27541, 27538, 52])).
% 14.50/10.21 tff(27543,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s346, s347)) | (~always3(s346)) | always3(s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s346, s347)) | (~always3(s346)) | always3(s347))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27544,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s346, s347)) | (~always3(s346)) | always3(s347))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27545,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s346, s347)) | (~always3(s346)) | always3(s347)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27544, 27543])).
% 14.50/10.21 tff(27546,plain,
% 14.50/10.21 ((~always3(s346)) | always3(s347)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27545, 125, 27542])).
% 14.50/10.21 tff(27547,plain,
% 14.50/10.21 (~always3(s346)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27546, 27535])).
% 14.50/10.21 tff(27548,plain,
% 14.50/10.21 (succ(s345, s346) <=> succ(s345, s346)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27549,axiom,(succ(s345, s346)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound346')).
% 14.50/10.21 tff(27550,plain,
% 14.50/10.21 (succ(s345, s346)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27549, 27548])).
% 14.50/10.21 tff(27551,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27552,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27553,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27552, 27551])).
% 14.50/10.21 tff(27554,plain,
% 14.50/10.21 (trans(s345, s346)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27553, 27550, 52])).
% 14.50/10.21 tff(27555,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s345, s346)) | (~always3(s345)) | always3(s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s345, s346)) | (~always3(s345)) | always3(s346))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27556,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s345, s346)) | (~always3(s345)) | always3(s346))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27557,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s345, s346)) | (~always3(s345)) | always3(s346)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27556, 27555])).
% 14.50/10.21 tff(27558,plain,
% 14.50/10.21 ((~always3(s345)) | always3(s346)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27557, 125, 27554])).
% 14.50/10.21 tff(27559,plain,
% 14.50/10.21 (~always3(s345)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27558, 27547])).
% 14.50/10.21 tff(27560,plain,
% 14.50/10.21 (succ(s344, s345) <=> succ(s344, s345)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27561,axiom,(succ(s344, s345)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound345')).
% 14.50/10.21 tff(27562,plain,
% 14.50/10.21 (succ(s344, s345)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27561, 27560])).
% 14.50/10.21 tff(27563,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27564,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27565,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27564, 27563])).
% 14.50/10.21 tff(27566,plain,
% 14.50/10.21 (trans(s344, s345)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27565, 27562, 52])).
% 14.50/10.21 tff(27567,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s344, s345)) | (~always3(s344)) | always3(s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s344, s345)) | (~always3(s344)) | always3(s345))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27568,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s344, s345)) | (~always3(s344)) | always3(s345))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27569,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s344, s345)) | (~always3(s344)) | always3(s345)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27568, 27567])).
% 14.50/10.21 tff(27570,plain,
% 14.50/10.21 ((~always3(s344)) | always3(s345)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27569, 125, 27566])).
% 14.50/10.21 tff(27571,plain,
% 14.50/10.21 (~always3(s344)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27570, 27559])).
% 14.50/10.21 tff(27572,plain,
% 14.50/10.21 (succ(s343, s344) <=> succ(s343, s344)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27573,axiom,(succ(s343, s344)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound344')).
% 14.50/10.21 tff(27574,plain,
% 14.50/10.21 (succ(s343, s344)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27573, 27572])).
% 14.50/10.21 tff(27575,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27576,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27577,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27576, 27575])).
% 14.50/10.21 tff(27578,plain,
% 14.50/10.21 (trans(s343, s344)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27577, 27574, 52])).
% 14.50/10.21 tff(27579,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s343, s344)) | (~always3(s343)) | always3(s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s343, s344)) | (~always3(s343)) | always3(s344))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27580,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s343, s344)) | (~always3(s343)) | always3(s344))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27581,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s343, s344)) | (~always3(s343)) | always3(s344)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27580, 27579])).
% 14.50/10.21 tff(27582,plain,
% 14.50/10.21 ((~always3(s343)) | always3(s344)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27581, 125, 27578])).
% 14.50/10.21 tff(27583,plain,
% 14.50/10.21 (~always3(s343)),
% 14.50/10.21 inference(unit_resolution,[status(thm)],[27582, 27571])).
% 14.50/10.21 tff(27584,plain,
% 14.50/10.21 (succ(s342, s343) <=> succ(s342, s343)),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27585,axiom,(succ(s342, s343)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound343')).
% 14.50/10.21 tff(27586,plain,
% 14.50/10.21 (succ(s342, s343)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27585, 27584])).
% 14.50/10.21 tff(27587,plain,
% 14.50/10.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343))),
% 14.50/10.21 inference(rewrite,[status(thm)],[])).
% 14.50/10.21 tff(27588,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))),
% 14.50/10.21 inference(quant_inst,[status(thm)],[])).
% 14.50/10.21 tff(27589,plain,
% 14.50/10.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343)),
% 14.50/10.21 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 14.50/10.22 tff(27590,plain,
% 14.50/10.22 (trans(s342, s343)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27589, 27586, 52])).
% 14.50/10.22 tff(27591,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s342, s343)) | (~always3(s342)) | always3(s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s342, s343)) | (~always3(s342)) | always3(s343))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27592,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s342, s343)) | (~always3(s342)) | always3(s343))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27593,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s342, s343)) | (~always3(s342)) | always3(s343)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27592, 27591])).
% 14.50/10.22 tff(27594,plain,
% 14.50/10.22 ((~always3(s342)) | always3(s343)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27593, 125, 27590])).
% 14.50/10.22 tff(27595,plain,
% 14.50/10.22 (~always3(s342)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27594, 27583])).
% 14.50/10.22 tff(27596,plain,
% 14.50/10.22 (succ(s341, s342) <=> succ(s341, s342)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27597,axiom,(succ(s341, s342)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound342')).
% 14.50/10.22 tff(27598,plain,
% 14.50/10.22 (succ(s341, s342)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27597, 27596])).
% 14.50/10.22 tff(27599,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27600,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27601,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27600, 27599])).
% 14.50/10.22 tff(27602,plain,
% 14.50/10.22 (trans(s341, s342)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27601, 27598, 52])).
% 14.50/10.22 tff(27603,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s341, s342)) | (~always3(s341)) | always3(s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s341, s342)) | (~always3(s341)) | always3(s342))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27604,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s341, s342)) | (~always3(s341)) | always3(s342))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27605,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s341, s342)) | (~always3(s341)) | always3(s342)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27604, 27603])).
% 14.50/10.22 tff(27606,plain,
% 14.50/10.22 ((~always3(s341)) | always3(s342)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27605, 125, 27602])).
% 14.50/10.22 tff(27607,plain,
% 14.50/10.22 (~always3(s341)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27606, 27595])).
% 14.50/10.22 tff(27608,plain,
% 14.50/10.22 (succ(s340, s341) <=> succ(s340, s341)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27609,axiom,(succ(s340, s341)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound341')).
% 14.50/10.22 tff(27610,plain,
% 14.50/10.22 (succ(s340, s341)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27609, 27608])).
% 14.50/10.22 tff(27611,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27612,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27613,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27612, 27611])).
% 14.50/10.22 tff(27614,plain,
% 14.50/10.22 (trans(s340, s341)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27613, 27610, 52])).
% 14.50/10.22 tff(27615,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s340, s341)) | (~always3(s340)) | always3(s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s340, s341)) | (~always3(s340)) | always3(s341))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27616,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s340, s341)) | (~always3(s340)) | always3(s341))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27617,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s340, s341)) | (~always3(s340)) | always3(s341)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27616, 27615])).
% 14.50/10.22 tff(27618,plain,
% 14.50/10.22 ((~always3(s340)) | always3(s341)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27617, 125, 27614])).
% 14.50/10.22 tff(27619,plain,
% 14.50/10.22 (~always3(s340)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27618, 27607])).
% 14.50/10.22 tff(27620,plain,
% 14.50/10.22 (succ(s339, s340) <=> succ(s339, s340)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27621,axiom,(succ(s339, s340)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound340')).
% 14.50/10.22 tff(27622,plain,
% 14.50/10.22 (succ(s339, s340)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27621, 27620])).
% 14.50/10.22 tff(27623,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27624,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27625,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27624, 27623])).
% 14.50/10.22 tff(27626,plain,
% 14.50/10.22 (trans(s339, s340)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27625, 27622, 52])).
% 14.50/10.22 tff(27627,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s339, s340)) | (~always3(s339)) | always3(s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s339, s340)) | (~always3(s339)) | always3(s340))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27628,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s339, s340)) | (~always3(s339)) | always3(s340))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27629,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s339, s340)) | (~always3(s339)) | always3(s340)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27628, 27627])).
% 14.50/10.22 tff(27630,plain,
% 14.50/10.22 ((~always3(s339)) | always3(s340)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27629, 125, 27626])).
% 14.50/10.22 tff(27631,plain,
% 14.50/10.22 (~always3(s339)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27630, 27619])).
% 14.50/10.22 tff(27632,plain,
% 14.50/10.22 (succ(s338, s339) <=> succ(s338, s339)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27633,axiom,(succ(s338, s339)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound339')).
% 14.50/10.22 tff(27634,plain,
% 14.50/10.22 (succ(s338, s339)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27633, 27632])).
% 14.50/10.22 tff(27635,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27636,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27637,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27636, 27635])).
% 14.50/10.22 tff(27638,plain,
% 14.50/10.22 (trans(s338, s339)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27637, 27634, 52])).
% 14.50/10.22 tff(27639,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s338, s339)) | (~always3(s338)) | always3(s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s338, s339)) | (~always3(s338)) | always3(s339))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27640,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s338, s339)) | (~always3(s338)) | always3(s339))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27641,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s338, s339)) | (~always3(s338)) | always3(s339)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27640, 27639])).
% 14.50/10.22 tff(27642,plain,
% 14.50/10.22 ((~always3(s338)) | always3(s339)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27641, 125, 27638])).
% 14.50/10.22 tff(27643,plain,
% 14.50/10.22 (~always3(s338)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27642, 27631])).
% 14.50/10.22 tff(27644,plain,
% 14.50/10.22 (succ(s337, s338) <=> succ(s337, s338)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27645,axiom,(succ(s337, s338)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound338')).
% 14.50/10.22 tff(27646,plain,
% 14.50/10.22 (succ(s337, s338)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27645, 27644])).
% 14.50/10.22 tff(27647,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27648,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27649,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27648, 27647])).
% 14.50/10.22 tff(27650,plain,
% 14.50/10.22 (trans(s337, s338)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27649, 27646, 52])).
% 14.50/10.22 tff(27651,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s337, s338)) | (~always3(s337)) | always3(s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s337, s338)) | (~always3(s337)) | always3(s338))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27652,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s337, s338)) | (~always3(s337)) | always3(s338))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27653,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s337, s338)) | (~always3(s337)) | always3(s338)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27652, 27651])).
% 14.50/10.22 tff(27654,plain,
% 14.50/10.22 ((~always3(s337)) | always3(s338)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27653, 125, 27650])).
% 14.50/10.22 tff(27655,plain,
% 14.50/10.22 (~always3(s337)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27654, 27643])).
% 14.50/10.22 tff(27656,plain,
% 14.50/10.22 (succ(s336, s337) <=> succ(s336, s337)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27657,axiom,(succ(s336, s337)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound337')).
% 14.50/10.22 tff(27658,plain,
% 14.50/10.22 (succ(s336, s337)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27657, 27656])).
% 14.50/10.22 tff(27659,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27660,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27661,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27660, 27659])).
% 14.50/10.22 tff(27662,plain,
% 14.50/10.22 (trans(s336, s337)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27661, 27658, 52])).
% 14.50/10.22 tff(27663,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s336, s337)) | (~always3(s336)) | always3(s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s336, s337)) | (~always3(s336)) | always3(s337))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27664,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s336, s337)) | (~always3(s336)) | always3(s337))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27665,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s336, s337)) | (~always3(s336)) | always3(s337)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27664, 27663])).
% 14.50/10.22 tff(27666,plain,
% 14.50/10.22 ((~always3(s336)) | always3(s337)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27665, 125, 27662])).
% 14.50/10.22 tff(27667,plain,
% 14.50/10.22 (~always3(s336)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27666, 27655])).
% 14.50/10.22 tff(27668,plain,
% 14.50/10.22 (succ(s335, s336) <=> succ(s335, s336)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27669,axiom,(succ(s335, s336)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound336')).
% 14.50/10.22 tff(27670,plain,
% 14.50/10.22 (succ(s335, s336)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27669, 27668])).
% 14.50/10.22 tff(27671,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27672,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27673,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27672, 27671])).
% 14.50/10.22 tff(27674,plain,
% 14.50/10.22 (trans(s335, s336)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27673, 27670, 52])).
% 14.50/10.22 tff(27675,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s335, s336)) | (~always3(s335)) | always3(s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s335, s336)) | (~always3(s335)) | always3(s336))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27676,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s335, s336)) | (~always3(s335)) | always3(s336))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27677,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s335, s336)) | (~always3(s335)) | always3(s336)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27676, 27675])).
% 14.50/10.22 tff(27678,plain,
% 14.50/10.22 ((~always3(s335)) | always3(s336)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27677, 125, 27674])).
% 14.50/10.22 tff(27679,plain,
% 14.50/10.22 (~always3(s335)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27678, 27667])).
% 14.50/10.22 tff(27680,plain,
% 14.50/10.22 (succ(s334, s335) <=> succ(s334, s335)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27681,axiom,(succ(s334, s335)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound335')).
% 14.50/10.22 tff(27682,plain,
% 14.50/10.22 (succ(s334, s335)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27681, 27680])).
% 14.50/10.22 tff(27683,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27684,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27685,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27684, 27683])).
% 14.50/10.22 tff(27686,plain,
% 14.50/10.22 (trans(s334, s335)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27685, 27682, 52])).
% 14.50/10.22 tff(27687,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s334, s335)) | (~always3(s334)) | always3(s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s334, s335)) | (~always3(s334)) | always3(s335))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27688,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s334, s335)) | (~always3(s334)) | always3(s335))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27689,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s334, s335)) | (~always3(s334)) | always3(s335)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27688, 27687])).
% 14.50/10.22 tff(27690,plain,
% 14.50/10.22 ((~always3(s334)) | always3(s335)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27689, 125, 27686])).
% 14.50/10.22 tff(27691,plain,
% 14.50/10.22 (~always3(s334)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27690, 27679])).
% 14.50/10.22 tff(27692,plain,
% 14.50/10.22 (succ(s333, s334) <=> succ(s333, s334)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27693,axiom,(succ(s333, s334)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound334')).
% 14.50/10.22 tff(27694,plain,
% 14.50/10.22 (succ(s333, s334)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27693, 27692])).
% 14.50/10.22 tff(27695,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27696,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27697,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27696, 27695])).
% 14.50/10.22 tff(27698,plain,
% 14.50/10.22 (trans(s333, s334)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27697, 27694, 52])).
% 14.50/10.22 tff(27699,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s333, s334)) | (~always3(s333)) | always3(s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s333, s334)) | (~always3(s333)) | always3(s334))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27700,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s333, s334)) | (~always3(s333)) | always3(s334))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27701,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s333, s334)) | (~always3(s333)) | always3(s334)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 14.50/10.22 tff(27702,plain,
% 14.50/10.22 ((~always3(s333)) | always3(s334)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27701, 125, 27698])).
% 14.50/10.22 tff(27703,plain,
% 14.50/10.22 (~always3(s333)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27702, 27691])).
% 14.50/10.22 tff(27704,plain,
% 14.50/10.22 (succ(s332, s333) <=> succ(s332, s333)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27705,axiom,(succ(s332, s333)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound333')).
% 14.50/10.22 tff(27706,plain,
% 14.50/10.22 (succ(s332, s333)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27705, 27704])).
% 14.50/10.22 tff(27707,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27708,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27709,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27708, 27707])).
% 14.50/10.22 tff(27710,plain,
% 14.50/10.22 (trans(s332, s333)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27709, 27706, 52])).
% 14.50/10.22 tff(27711,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s332, s333)) | (~always3(s332)) | always3(s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s332, s333)) | (~always3(s332)) | always3(s333))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27712,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s332, s333)) | (~always3(s332)) | always3(s333))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27713,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s332, s333)) | (~always3(s332)) | always3(s333)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27712, 27711])).
% 14.50/10.22 tff(27714,plain,
% 14.50/10.22 ((~always3(s332)) | always3(s333)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27713, 125, 27710])).
% 14.50/10.22 tff(27715,plain,
% 14.50/10.22 (~always3(s332)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27714, 27703])).
% 14.50/10.22 tff(27716,plain,
% 14.50/10.22 (succ(s331, s332) <=> succ(s331, s332)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27717,axiom,(succ(s331, s332)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound332')).
% 14.50/10.22 tff(27718,plain,
% 14.50/10.22 (succ(s331, s332)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27717, 27716])).
% 14.50/10.22 tff(27719,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27720,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27721,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27720, 27719])).
% 14.50/10.22 tff(27722,plain,
% 14.50/10.22 (trans(s331, s332)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27721, 27718, 52])).
% 14.50/10.22 tff(27723,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s331, s332)) | (~always3(s331)) | always3(s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s331, s332)) | (~always3(s331)) | always3(s332))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27724,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s331, s332)) | (~always3(s331)) | always3(s332))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27725,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s331, s332)) | (~always3(s331)) | always3(s332)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27724, 27723])).
% 14.50/10.22 tff(27726,plain,
% 14.50/10.22 ((~always3(s331)) | always3(s332)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27725, 125, 27722])).
% 14.50/10.22 tff(27727,plain,
% 14.50/10.22 (~always3(s331)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27726, 27715])).
% 14.50/10.22 tff(27728,plain,
% 14.50/10.22 (succ(s330, s331) <=> succ(s330, s331)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27729,axiom,(succ(s330, s331)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound331')).
% 14.50/10.22 tff(27730,plain,
% 14.50/10.22 (succ(s330, s331)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27729, 27728])).
% 14.50/10.22 tff(27731,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27732,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27733,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27732, 27731])).
% 14.50/10.22 tff(27734,plain,
% 14.50/10.22 (trans(s330, s331)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27733, 27730, 52])).
% 14.50/10.22 tff(27735,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s330, s331)) | (~always3(s330)) | always3(s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s330, s331)) | (~always3(s330)) | always3(s331))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27736,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s330, s331)) | (~always3(s330)) | always3(s331))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27737,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s330, s331)) | (~always3(s330)) | always3(s331)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27736, 27735])).
% 14.50/10.22 tff(27738,plain,
% 14.50/10.22 ((~always3(s330)) | always3(s331)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27737, 125, 27734])).
% 14.50/10.22 tff(27739,plain,
% 14.50/10.22 (~always3(s330)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27738, 27727])).
% 14.50/10.22 tff(27740,plain,
% 14.50/10.22 (succ(s329, s330) <=> succ(s329, s330)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27741,axiom,(succ(s329, s330)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound330')).
% 14.50/10.22 tff(27742,plain,
% 14.50/10.22 (succ(s329, s330)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27741, 27740])).
% 14.50/10.22 tff(27743,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27744,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27745,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27744, 27743])).
% 14.50/10.22 tff(27746,plain,
% 14.50/10.22 (trans(s329, s330)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27745, 27742, 52])).
% 14.50/10.22 tff(27747,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s329, s330)) | (~always3(s329)) | always3(s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s329, s330)) | (~always3(s329)) | always3(s330))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27748,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s329, s330)) | (~always3(s329)) | always3(s330))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27749,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s329, s330)) | (~always3(s329)) | always3(s330)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27748, 27747])).
% 14.50/10.22 tff(27750,plain,
% 14.50/10.22 ((~always3(s329)) | always3(s330)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27749, 125, 27746])).
% 14.50/10.22 tff(27751,plain,
% 14.50/10.22 (~always3(s329)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27750, 27739])).
% 14.50/10.22 tff(27752,plain,
% 14.50/10.22 (succ(s328, s329) <=> succ(s328, s329)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27753,axiom,(succ(s328, s329)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound329')).
% 14.50/10.22 tff(27754,plain,
% 14.50/10.22 (succ(s328, s329)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27753, 27752])).
% 14.50/10.22 tff(27755,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27756,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27757,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27756, 27755])).
% 14.50/10.22 tff(27758,plain,
% 14.50/10.22 (trans(s328, s329)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27757, 27754, 52])).
% 14.50/10.22 tff(27759,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s328, s329)) | (~always3(s328)) | always3(s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s328, s329)) | (~always3(s328)) | always3(s329))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27760,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s328, s329)) | (~always3(s328)) | always3(s329))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27761,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s328, s329)) | (~always3(s328)) | always3(s329)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27760, 27759])).
% 14.50/10.22 tff(27762,plain,
% 14.50/10.22 ((~always3(s328)) | always3(s329)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27761, 125, 27758])).
% 14.50/10.22 tff(27763,plain,
% 14.50/10.22 (~always3(s328)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27762, 27751])).
% 14.50/10.22 tff(27764,plain,
% 14.50/10.22 (succ(s327, s328) <=> succ(s327, s328)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27765,axiom,(succ(s327, s328)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound328')).
% 14.50/10.22 tff(27766,plain,
% 14.50/10.22 (succ(s327, s328)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27765, 27764])).
% 14.50/10.22 tff(27767,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27768,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27769,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27768, 27767])).
% 14.50/10.22 tff(27770,plain,
% 14.50/10.22 (trans(s327, s328)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27769, 27766, 52])).
% 14.50/10.22 tff(27771,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s327, s328)) | (~always3(s327)) | always3(s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s327, s328)) | (~always3(s327)) | always3(s328))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27772,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s327, s328)) | (~always3(s327)) | always3(s328))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27773,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s327, s328)) | (~always3(s327)) | always3(s328)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27772, 27771])).
% 14.50/10.22 tff(27774,plain,
% 14.50/10.22 ((~always3(s327)) | always3(s328)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27773, 125, 27770])).
% 14.50/10.22 tff(27775,plain,
% 14.50/10.22 (~always3(s327)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27774, 27763])).
% 14.50/10.22 tff(27776,plain,
% 14.50/10.22 (succ(s326, s327) <=> succ(s326, s327)),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27777,axiom,(succ(s326, s327)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound327')).
% 14.50/10.22 tff(27778,plain,
% 14.50/10.22 (succ(s326, s327)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27777, 27776])).
% 14.50/10.22 tff(27779,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27780,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27781,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 14.50/10.22 tff(27782,plain,
% 14.50/10.22 (trans(s326, s327)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27781, 27778, 52])).
% 14.50/10.22 tff(27783,plain,
% 14.50/10.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s326, s327)) | (~always3(s326)) | always3(s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s326, s327)) | (~always3(s326)) | always3(s327))),
% 14.50/10.22 inference(rewrite,[status(thm)],[])).
% 14.50/10.22 tff(27784,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s326, s327)) | (~always3(s326)) | always3(s327))),
% 14.50/10.22 inference(quant_inst,[status(thm)],[])).
% 14.50/10.22 tff(27785,plain,
% 14.50/10.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s326, s327)) | (~always3(s326)) | always3(s327)),
% 14.50/10.22 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 14.50/10.22 tff(27786,plain,
% 14.50/10.22 ((~always3(s326)) | always3(s327)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27785, 125, 27782])).
% 14.50/10.22 tff(27787,plain,
% 14.50/10.22 (~always3(s326)),
% 14.50/10.22 inference(unit_resolution,[status(thm)],[27786, 27775])).
% 14.50/10.22 tff(27788,plain,
% 14.50/10.22 (succ(s325, s326) <=> succ(s325, s326)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27789,axiom,(succ(s325, s326)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound326')).
% 14.50/10.23 tff(27790,plain,
% 14.50/10.23 (succ(s325, s326)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27789, 27788])).
% 14.50/10.23 tff(27791,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27792,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27793,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27792, 27791])).
% 14.50/10.23 tff(27794,plain,
% 14.50/10.23 (trans(s325, s326)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27793, 27790, 52])).
% 14.50/10.23 tff(27795,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s325, s326)) | (~always3(s325)) | always3(s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s325, s326)) | (~always3(s325)) | always3(s326))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27796,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s325, s326)) | (~always3(s325)) | always3(s326))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27797,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s325, s326)) | (~always3(s325)) | always3(s326)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27796, 27795])).
% 14.50/10.23 tff(27798,plain,
% 14.50/10.23 ((~always3(s325)) | always3(s326)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27797, 125, 27794])).
% 14.50/10.23 tff(27799,plain,
% 14.50/10.23 (~always3(s325)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27798, 27787])).
% 14.50/10.23 tff(27800,plain,
% 14.50/10.23 (succ(s324, s325) <=> succ(s324, s325)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27801,axiom,(succ(s324, s325)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound325')).
% 14.50/10.23 tff(27802,plain,
% 14.50/10.23 (succ(s324, s325)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27801, 27800])).
% 14.50/10.23 tff(27803,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27804,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27805,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 14.50/10.23 tff(27806,plain,
% 14.50/10.23 (trans(s324, s325)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27805, 27802, 52])).
% 14.50/10.23 tff(27807,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s324, s325)) | (~always3(s324)) | always3(s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s324, s325)) | (~always3(s324)) | always3(s325))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27808,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s324, s325)) | (~always3(s324)) | always3(s325))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27809,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s324, s325)) | (~always3(s324)) | always3(s325)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27808, 27807])).
% 14.50/10.23 tff(27810,plain,
% 14.50/10.23 ((~always3(s324)) | always3(s325)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27809, 125, 27806])).
% 14.50/10.23 tff(27811,plain,
% 14.50/10.23 (~always3(s324)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27810, 27799])).
% 14.50/10.23 tff(27812,plain,
% 14.50/10.23 (succ(s323, s324) <=> succ(s323, s324)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27813,axiom,(succ(s323, s324)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound324')).
% 14.50/10.23 tff(27814,plain,
% 14.50/10.23 (succ(s323, s324)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27813, 27812])).
% 14.50/10.23 tff(27815,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27816,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27817,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27816, 27815])).
% 14.50/10.23 tff(27818,plain,
% 14.50/10.23 (trans(s323, s324)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27817, 27814, 52])).
% 14.50/10.23 tff(27819,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s323, s324)) | (~always3(s323)) | always3(s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s323, s324)) | (~always3(s323)) | always3(s324))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27820,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s323, s324)) | (~always3(s323)) | always3(s324))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27821,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s323, s324)) | (~always3(s323)) | always3(s324)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27820, 27819])).
% 14.50/10.23 tff(27822,plain,
% 14.50/10.23 ((~always3(s323)) | always3(s324)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27821, 125, 27818])).
% 14.50/10.23 tff(27823,plain,
% 14.50/10.23 (~always3(s323)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27822, 27811])).
% 14.50/10.23 tff(27824,plain,
% 14.50/10.23 (succ(s322, s323) <=> succ(s322, s323)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27825,axiom,(succ(s322, s323)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound323')).
% 14.50/10.23 tff(27826,plain,
% 14.50/10.23 (succ(s322, s323)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27825, 27824])).
% 14.50/10.23 tff(27827,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27828,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27829,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27828, 27827])).
% 14.50/10.23 tff(27830,plain,
% 14.50/10.23 (trans(s322, s323)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27829, 27826, 52])).
% 14.50/10.23 tff(27831,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s322, s323)) | (~always3(s322)) | always3(s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s322, s323)) | (~always3(s322)) | always3(s323))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27832,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s322, s323)) | (~always3(s322)) | always3(s323))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27833,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s322, s323)) | (~always3(s322)) | always3(s323)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27832, 27831])).
% 14.50/10.23 tff(27834,plain,
% 14.50/10.23 ((~always3(s322)) | always3(s323)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27833, 125, 27830])).
% 14.50/10.23 tff(27835,plain,
% 14.50/10.23 (~always3(s322)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27834, 27823])).
% 14.50/10.23 tff(27836,plain,
% 14.50/10.23 (succ(s321, s322) <=> succ(s321, s322)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27837,axiom,(succ(s321, s322)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound322')).
% 14.50/10.23 tff(27838,plain,
% 14.50/10.23 (succ(s321, s322)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27837, 27836])).
% 14.50/10.23 tff(27839,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27840,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27841,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27840, 27839])).
% 14.50/10.23 tff(27842,plain,
% 14.50/10.23 (trans(s321, s322)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27841, 27838, 52])).
% 14.50/10.23 tff(27843,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s321, s322)) | (~always3(s321)) | always3(s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s321, s322)) | (~always3(s321)) | always3(s322))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27844,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s321, s322)) | (~always3(s321)) | always3(s322))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27845,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s321, s322)) | (~always3(s321)) | always3(s322)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27844, 27843])).
% 14.50/10.23 tff(27846,plain,
% 14.50/10.23 ((~always3(s321)) | always3(s322)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27845, 125, 27842])).
% 14.50/10.23 tff(27847,plain,
% 14.50/10.23 (~always3(s321)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27846, 27835])).
% 14.50/10.23 tff(27848,plain,
% 14.50/10.23 (succ(s320, s321) <=> succ(s320, s321)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27849,axiom,(succ(s320, s321)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound321')).
% 14.50/10.23 tff(27850,plain,
% 14.50/10.23 (succ(s320, s321)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27849, 27848])).
% 14.50/10.23 tff(27851,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27852,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27853,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27852, 27851])).
% 14.50/10.23 tff(27854,plain,
% 14.50/10.23 (trans(s320, s321)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27853, 27850, 52])).
% 14.50/10.23 tff(27855,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s320, s321)) | (~always3(s320)) | always3(s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s320, s321)) | (~always3(s320)) | always3(s321))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27856,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s320, s321)) | (~always3(s320)) | always3(s321))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27857,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s320, s321)) | (~always3(s320)) | always3(s321)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27856, 27855])).
% 14.50/10.23 tff(27858,plain,
% 14.50/10.23 ((~always3(s320)) | always3(s321)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27857, 125, 27854])).
% 14.50/10.23 tff(27859,plain,
% 14.50/10.23 (~always3(s320)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27858, 27847])).
% 14.50/10.23 tff(27860,plain,
% 14.50/10.23 (succ(s319, s320) <=> succ(s319, s320)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27861,axiom,(succ(s319, s320)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound320')).
% 14.50/10.23 tff(27862,plain,
% 14.50/10.23 (succ(s319, s320)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 14.50/10.23 tff(27863,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27864,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27865,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27864, 27863])).
% 14.50/10.23 tff(27866,plain,
% 14.50/10.23 (trans(s319, s320)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27865, 27862, 52])).
% 14.50/10.23 tff(27867,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s319, s320)) | (~always3(s319)) | always3(s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s319, s320)) | (~always3(s319)) | always3(s320))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27868,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s319, s320)) | (~always3(s319)) | always3(s320))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27869,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s319, s320)) | (~always3(s319)) | always3(s320)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27868, 27867])).
% 14.50/10.23 tff(27870,plain,
% 14.50/10.23 ((~always3(s319)) | always3(s320)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27869, 125, 27866])).
% 14.50/10.23 tff(27871,plain,
% 14.50/10.23 (~always3(s319)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27870, 27859])).
% 14.50/10.23 tff(27872,plain,
% 14.50/10.23 (succ(s318, s319) <=> succ(s318, s319)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27873,axiom,(succ(s318, s319)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound319')).
% 14.50/10.23 tff(27874,plain,
% 14.50/10.23 (succ(s318, s319)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27873, 27872])).
% 14.50/10.23 tff(27875,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27876,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27877,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 14.50/10.23 tff(27878,plain,
% 14.50/10.23 (trans(s318, s319)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27877, 27874, 52])).
% 14.50/10.23 tff(27879,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s318, s319)) | (~always3(s318)) | always3(s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s318, s319)) | (~always3(s318)) | always3(s319))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27880,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s318, s319)) | (~always3(s318)) | always3(s319))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27881,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s318, s319)) | (~always3(s318)) | always3(s319)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27880, 27879])).
% 14.50/10.23 tff(27882,plain,
% 14.50/10.23 ((~always3(s318)) | always3(s319)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27881, 125, 27878])).
% 14.50/10.23 tff(27883,plain,
% 14.50/10.23 (~always3(s318)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27882, 27871])).
% 14.50/10.23 tff(27884,plain,
% 14.50/10.23 (succ(s317, s318) <=> succ(s317, s318)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27885,axiom,(succ(s317, s318)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound318')).
% 14.50/10.23 tff(27886,plain,
% 14.50/10.23 (succ(s317, s318)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27885, 27884])).
% 14.50/10.23 tff(27887,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27888,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27889,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 14.50/10.23 tff(27890,plain,
% 14.50/10.23 (trans(s317, s318)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27889, 27886, 52])).
% 14.50/10.23 tff(27891,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s317, s318)) | (~always3(s317)) | always3(s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s317, s318)) | (~always3(s317)) | always3(s318))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27892,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s317, s318)) | (~always3(s317)) | always3(s318))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27893,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s317, s318)) | (~always3(s317)) | always3(s318)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27892, 27891])).
% 14.50/10.23 tff(27894,plain,
% 14.50/10.23 ((~always3(s317)) | always3(s318)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27893, 125, 27890])).
% 14.50/10.23 tff(27895,plain,
% 14.50/10.23 (~always3(s317)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27894, 27883])).
% 14.50/10.23 tff(27896,plain,
% 14.50/10.23 (succ(s316, s317) <=> succ(s316, s317)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27897,axiom,(succ(s316, s317)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound317')).
% 14.50/10.23 tff(27898,plain,
% 14.50/10.23 (succ(s316, s317)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27897, 27896])).
% 14.50/10.23 tff(27899,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27900,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27901,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27900, 27899])).
% 14.50/10.23 tff(27902,plain,
% 14.50/10.23 (trans(s316, s317)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27901, 27898, 52])).
% 14.50/10.23 tff(27903,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s316, s317)) | (~always3(s316)) | always3(s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s316, s317)) | (~always3(s316)) | always3(s317))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27904,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s316, s317)) | (~always3(s316)) | always3(s317))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27905,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s316, s317)) | (~always3(s316)) | always3(s317)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27904, 27903])).
% 14.50/10.23 tff(27906,plain,
% 14.50/10.23 ((~always3(s316)) | always3(s317)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27905, 125, 27902])).
% 14.50/10.23 tff(27907,plain,
% 14.50/10.23 (~always3(s316)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27906, 27895])).
% 14.50/10.23 tff(27908,plain,
% 14.50/10.23 (succ(s315, s316) <=> succ(s315, s316)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27909,axiom,(succ(s315, s316)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound316')).
% 14.50/10.23 tff(27910,plain,
% 14.50/10.23 (succ(s315, s316)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27909, 27908])).
% 14.50/10.23 tff(27911,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27912,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27913,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27912, 27911])).
% 14.50/10.23 tff(27914,plain,
% 14.50/10.23 (trans(s315, s316)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27913, 27910, 52])).
% 14.50/10.23 tff(27915,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s315, s316)) | (~always3(s315)) | always3(s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s315, s316)) | (~always3(s315)) | always3(s316))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27916,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s315, s316)) | (~always3(s315)) | always3(s316))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27917,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s315, s316)) | (~always3(s315)) | always3(s316)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27916, 27915])).
% 14.50/10.23 tff(27918,plain,
% 14.50/10.23 ((~always3(s315)) | always3(s316)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27917, 125, 27914])).
% 14.50/10.23 tff(27919,plain,
% 14.50/10.23 (~always3(s315)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27918, 27907])).
% 14.50/10.23 tff(27920,plain,
% 14.50/10.23 (succ(s314, s315) <=> succ(s314, s315)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27921,axiom,(succ(s314, s315)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound315')).
% 14.50/10.23 tff(27922,plain,
% 14.50/10.23 (succ(s314, s315)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27921, 27920])).
% 14.50/10.23 tff(27923,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27924,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27925,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27924, 27923])).
% 14.50/10.23 tff(27926,plain,
% 14.50/10.23 (trans(s314, s315)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27925, 27922, 52])).
% 14.50/10.23 tff(27927,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s314, s315)) | (~always3(s314)) | always3(s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s314, s315)) | (~always3(s314)) | always3(s315))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27928,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s314, s315)) | (~always3(s314)) | always3(s315))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27929,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s314, s315)) | (~always3(s314)) | always3(s315)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27928, 27927])).
% 14.50/10.23 tff(27930,plain,
% 14.50/10.23 ((~always3(s314)) | always3(s315)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27929, 125, 27926])).
% 14.50/10.23 tff(27931,plain,
% 14.50/10.23 (~always3(s314)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27930, 27919])).
% 14.50/10.23 tff(27932,plain,
% 14.50/10.23 (succ(s313, s314) <=> succ(s313, s314)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27933,axiom,(succ(s313, s314)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound314')).
% 14.50/10.23 tff(27934,plain,
% 14.50/10.23 (succ(s313, s314)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27933, 27932])).
% 14.50/10.23 tff(27935,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27936,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27937,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27936, 27935])).
% 14.50/10.23 tff(27938,plain,
% 14.50/10.23 (trans(s313, s314)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27937, 27934, 52])).
% 14.50/10.23 tff(27939,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s313, s314)) | (~always3(s313)) | always3(s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s313, s314)) | (~always3(s313)) | always3(s314))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27940,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s313, s314)) | (~always3(s313)) | always3(s314))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27941,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s313, s314)) | (~always3(s313)) | always3(s314)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27940, 27939])).
% 14.50/10.23 tff(27942,plain,
% 14.50/10.23 ((~always3(s313)) | always3(s314)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27941, 125, 27938])).
% 14.50/10.23 tff(27943,plain,
% 14.50/10.23 (~always3(s313)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27942, 27931])).
% 14.50/10.23 tff(27944,plain,
% 14.50/10.23 (succ(s312, s313) <=> succ(s312, s313)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27945,axiom,(succ(s312, s313)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound313')).
% 14.50/10.23 tff(27946,plain,
% 14.50/10.23 (succ(s312, s313)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27945, 27944])).
% 14.50/10.23 tff(27947,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27948,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27949,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 14.50/10.23 tff(27950,plain,
% 14.50/10.23 (trans(s312, s313)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27949, 27946, 52])).
% 14.50/10.23 tff(27951,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s312, s313)) | (~always3(s312)) | always3(s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s312, s313)) | (~always3(s312)) | always3(s313))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27952,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s312, s313)) | (~always3(s312)) | always3(s313))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27953,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s312, s313)) | (~always3(s312)) | always3(s313)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27952, 27951])).
% 14.50/10.23 tff(27954,plain,
% 14.50/10.23 ((~always3(s312)) | always3(s313)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27953, 125, 27950])).
% 14.50/10.23 tff(27955,plain,
% 14.50/10.23 (~always3(s312)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27954, 27943])).
% 14.50/10.23 tff(27956,plain,
% 14.50/10.23 (succ(s311, s312) <=> succ(s311, s312)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27957,axiom,(succ(s311, s312)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound312')).
% 14.50/10.23 tff(27958,plain,
% 14.50/10.23 (succ(s311, s312)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27957, 27956])).
% 14.50/10.23 tff(27959,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27960,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27961,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27960, 27959])).
% 14.50/10.23 tff(27962,plain,
% 14.50/10.23 (trans(s311, s312)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27961, 27958, 52])).
% 14.50/10.23 tff(27963,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s311, s312)) | (~always3(s311)) | always3(s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s311, s312)) | (~always3(s311)) | always3(s312))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27964,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s311, s312)) | (~always3(s311)) | always3(s312))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27965,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s311, s312)) | (~always3(s311)) | always3(s312)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27964, 27963])).
% 14.50/10.23 tff(27966,plain,
% 14.50/10.23 ((~always3(s311)) | always3(s312)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27965, 125, 27962])).
% 14.50/10.23 tff(27967,plain,
% 14.50/10.23 (~always3(s311)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27966, 27955])).
% 14.50/10.23 tff(27968,plain,
% 14.50/10.23 (succ(s310, s311) <=> succ(s310, s311)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27969,axiom,(succ(s310, s311)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound311')).
% 14.50/10.23 tff(27970,plain,
% 14.50/10.23 (succ(s310, s311)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 14.50/10.23 tff(27971,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27972,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27973,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 14.50/10.23 tff(27974,plain,
% 14.50/10.23 (trans(s310, s311)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27973, 27970, 52])).
% 14.50/10.23 tff(27975,plain,
% 14.50/10.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s310, s311)) | (~always3(s310)) | always3(s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s310, s311)) | (~always3(s310)) | always3(s311))),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27976,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s310, s311)) | (~always3(s310)) | always3(s311))),
% 14.50/10.23 inference(quant_inst,[status(thm)],[])).
% 14.50/10.23 tff(27977,plain,
% 14.50/10.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s310, s311)) | (~always3(s310)) | always3(s311)),
% 14.50/10.23 inference(modus_ponens,[status(thm)],[27976, 27975])).
% 14.50/10.23 tff(27978,plain,
% 14.50/10.23 ((~always3(s310)) | always3(s311)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27977, 125, 27974])).
% 14.50/10.23 tff(27979,plain,
% 14.50/10.23 (~always3(s310)),
% 14.50/10.23 inference(unit_resolution,[status(thm)],[27978, 27967])).
% 14.50/10.23 tff(27980,plain,
% 14.50/10.23 (succ(s309, s310) <=> succ(s309, s310)),
% 14.50/10.23 inference(rewrite,[status(thm)],[])).
% 14.50/10.23 tff(27981,axiom,(succ(s309, s310)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound310')).
% 14.50/10.24 tff(27982,plain,
% 14.50/10.24 (succ(s309, s310)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[27981, 27980])).
% 14.50/10.24 tff(27983,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(27984,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(27985,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[27984, 27983])).
% 14.50/10.24 tff(27986,plain,
% 14.50/10.24 (trans(s309, s310)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[27985, 27982, 52])).
% 14.50/10.24 tff(27987,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s309, s310)) | (~always3(s309)) | always3(s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s309, s310)) | (~always3(s309)) | always3(s310))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(27988,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s309, s310)) | (~always3(s309)) | always3(s310))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(27989,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s309, s310)) | (~always3(s309)) | always3(s310)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[27988, 27987])).
% 14.50/10.24 tff(27990,plain,
% 14.50/10.24 ((~always3(s309)) | always3(s310)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[27989, 125, 27986])).
% 14.50/10.24 tff(27991,plain,
% 14.50/10.24 (~always3(s309)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[27990, 27979])).
% 14.50/10.24 tff(27992,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s309) | (~node4(s309)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s309) | (~node4(s309)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(27993,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s309) | (~node4(s309)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(27994,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s309) | (~node4(s309))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[27993, 27992])).
% 14.50/10.24 tff(27995,plain,
% 14.50/10.24 (~node4(s309)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[27994, 36, 27991])).
% 14.50/10.24 tff(27996,plain,
% 14.50/10.24 (succ(s308, s309) <=> succ(s308, s309)),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(27997,axiom,(succ(s308, s309)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound309')).
% 14.50/10.24 tff(27998,plain,
% 14.50/10.24 (succ(s308, s309)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[27997, 27996])).
% 14.50/10.24 tff(27999,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28000,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28001,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28000, 27999])).
% 14.50/10.24 tff(28002,plain,
% 14.50/10.24 (trans(s308, s309)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28001, 27998, 52])).
% 14.50/10.24 tff(28003,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s308, s309)) | (~always3(s308)) | always3(s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s308, s309)) | (~always3(s308)) | always3(s309))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28004,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s308, s309)) | (~always3(s308)) | always3(s309))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28005,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s308, s309)) | (~always3(s308)) | always3(s309)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28004, 28003])).
% 14.50/10.24 tff(28006,plain,
% 14.50/10.24 ((~always3(s308)) | always3(s309)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28005, 125, 28002])).
% 14.50/10.24 tff(28007,plain,
% 14.50/10.24 (~always3(s308)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28006, 27991])).
% 14.50/10.24 tff(28008,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s308) | (~node4(s308)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s308) | (~node4(s308)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28009,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s308) | (~node4(s308)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28010,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s308) | (~node4(s308))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28009, 28008])).
% 14.50/10.24 tff(28011,plain,
% 14.50/10.24 (~node4(s308)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28010, 36, 28007])).
% 14.50/10.24 tff(28012,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s308) | node4(s308) | (~until5(s308)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s308) | node4(s308) | (~until5(s308)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28013,plain,
% 14.50/10.24 ((node4(s308) | (~until5(s308)) | xuntil6(s308)) <=> (xuntil6(s308) | node4(s308) | (~until5(s308)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28014,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s308) | (~until5(s308)) | xuntil6(s308))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s308) | node4(s308) | (~until5(s308))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28013])).
% 14.50/10.24 tff(28015,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s308) | (~until5(s308)) | xuntil6(s308))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s308) | node4(s308) | (~until5(s308)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28014, 28012])).
% 14.50/10.24 tff(28016,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s308) | (~until5(s308)) | xuntil6(s308))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28017,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s308) | node4(s308) | (~until5(s308))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28016, 28015])).
% 14.50/10.24 tff(28018,plain,
% 14.50/10.24 (xuntil6(s308) | node4(s308)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28017, 294, 26199])).
% 14.50/10.24 tff(28019,plain,
% 14.50/10.24 (xuntil6(s308)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28018, 28011])).
% 14.50/10.24 tff(28020,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28021,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28022,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28021, 28020])).
% 14.50/10.24 tff(28023,plain,
% 14.50/10.24 ((~xuntil6(s308)) | until5(s309)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28022, 27998, 312])).
% 14.50/10.24 tff(28024,plain,
% 14.50/10.24 (until5(s309)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28023, 28019])).
% 14.50/10.24 tff(28025,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s309) | node4(s309) | (~until5(s309)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s309) | node4(s309) | (~until5(s309)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28026,plain,
% 14.50/10.24 ((node4(s309) | (~until5(s309)) | xuntil6(s309)) <=> (xuntil6(s309) | node4(s309) | (~until5(s309)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28027,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s309) | (~until5(s309)) | xuntil6(s309))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s309) | node4(s309) | (~until5(s309))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28026])).
% 14.50/10.24 tff(28028,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s309) | (~until5(s309)) | xuntil6(s309))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s309) | node4(s309) | (~until5(s309)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28027, 28025])).
% 14.50/10.24 tff(28029,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s309) | (~until5(s309)) | xuntil6(s309))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28030,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s309) | node4(s309) | (~until5(s309))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28029, 28028])).
% 14.50/10.24 tff(28031,plain,
% 14.50/10.24 (xuntil6(s309)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28030, 294, 28024, 27995])).
% 14.50/10.24 tff(28032,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28033,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28034,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28033, 28032])).
% 14.50/10.24 tff(28035,plain,
% 14.50/10.24 ((~xuntil6(s309)) | until5(s310)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28034, 27982, 312])).
% 14.50/10.24 tff(28036,plain,
% 14.50/10.24 (until5(s310)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28035, 28031])).
% 14.50/10.24 tff(28037,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s310) | (~node4(s310)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s310) | (~node4(s310)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28038,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s310) | (~node4(s310)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28039,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s310) | (~node4(s310))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28038, 28037])).
% 14.50/10.24 tff(28040,plain,
% 14.50/10.24 (~node4(s310)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28039, 36, 27979])).
% 14.50/10.24 tff(28041,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s310) | node4(s310) | (~until5(s310)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s310) | node4(s310) | (~until5(s310)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28042,plain,
% 14.50/10.24 ((node4(s310) | (~until5(s310)) | xuntil6(s310)) <=> (xuntil6(s310) | node4(s310) | (~until5(s310)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28043,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s310) | (~until5(s310)) | xuntil6(s310))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s310) | node4(s310) | (~until5(s310))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28042])).
% 14.50/10.24 tff(28044,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s310) | (~until5(s310)) | xuntil6(s310))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s310) | node4(s310) | (~until5(s310)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28043, 28041])).
% 14.50/10.24 tff(28045,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s310) | (~until5(s310)) | xuntil6(s310))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28046,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s310) | node4(s310) | (~until5(s310))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28045, 28044])).
% 14.50/10.24 tff(28047,plain,
% 14.50/10.24 (xuntil6(s310) | (~until5(s310))),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28046, 294, 28040])).
% 14.50/10.24 tff(28048,plain,
% 14.50/10.24 (xuntil6(s310)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28047, 28036])).
% 14.50/10.24 tff(28049,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28050,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28051,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28050, 28049])).
% 14.50/10.24 tff(28052,plain,
% 14.50/10.24 ((~xuntil6(s310)) | until5(s311)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28051, 27970, 312])).
% 14.50/10.24 tff(28053,plain,
% 14.50/10.24 (until5(s311)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28052, 28048])).
% 14.50/10.24 tff(28054,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s311) | (~node4(s311)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s311) | (~node4(s311)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28055,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s311) | (~node4(s311)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28056,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s311) | (~node4(s311))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28055, 28054])).
% 14.50/10.24 tff(28057,plain,
% 14.50/10.24 (~node4(s311)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28056, 36, 27967])).
% 14.50/10.24 tff(28058,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s311) | node4(s311) | (~until5(s311)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s311) | node4(s311) | (~until5(s311)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28059,plain,
% 14.50/10.24 ((node4(s311) | (~until5(s311)) | xuntil6(s311)) <=> (xuntil6(s311) | node4(s311) | (~until5(s311)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28060,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s311) | (~until5(s311)) | xuntil6(s311))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s311) | node4(s311) | (~until5(s311))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28059])).
% 14.50/10.24 tff(28061,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s311) | (~until5(s311)) | xuntil6(s311))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s311) | node4(s311) | (~until5(s311)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28060, 28058])).
% 14.50/10.24 tff(28062,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s311) | (~until5(s311)) | xuntil6(s311))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28063,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s311) | node4(s311) | (~until5(s311))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28062, 28061])).
% 14.50/10.24 tff(28064,plain,
% 14.50/10.24 (xuntil6(s311) | (~until5(s311))),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28063, 294, 28057])).
% 14.50/10.24 tff(28065,plain,
% 14.50/10.24 (xuntil6(s311)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28064, 28053])).
% 14.50/10.24 tff(28066,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28067,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28068,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28067, 28066])).
% 14.50/10.24 tff(28069,plain,
% 14.50/10.24 ((~xuntil6(s311)) | until5(s312)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28068, 27958, 312])).
% 14.50/10.24 tff(28070,plain,
% 14.50/10.24 (until5(s312)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28069, 28065])).
% 14.50/10.24 tff(28071,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s312) | (~node4(s312)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s312) | (~node4(s312)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28072,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s312) | (~node4(s312)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28073,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s312) | (~node4(s312))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28072, 28071])).
% 14.50/10.24 tff(28074,plain,
% 14.50/10.24 (~node4(s312)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28073, 36, 27955])).
% 14.50/10.24 tff(28075,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s312) | node4(s312) | (~until5(s312)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s312) | node4(s312) | (~until5(s312)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28076,plain,
% 14.50/10.24 ((node4(s312) | (~until5(s312)) | xuntil6(s312)) <=> (xuntil6(s312) | node4(s312) | (~until5(s312)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28077,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s312) | (~until5(s312)) | xuntil6(s312))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s312) | node4(s312) | (~until5(s312))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28076])).
% 14.50/10.24 tff(28078,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s312) | (~until5(s312)) | xuntil6(s312))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s312) | node4(s312) | (~until5(s312)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28077, 28075])).
% 14.50/10.24 tff(28079,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s312) | (~until5(s312)) | xuntil6(s312))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28080,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s312) | node4(s312) | (~until5(s312))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28079, 28078])).
% 14.50/10.24 tff(28081,plain,
% 14.50/10.24 (xuntil6(s312) | (~until5(s312))),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28080, 294, 28074])).
% 14.50/10.24 tff(28082,plain,
% 14.50/10.24 (xuntil6(s312)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28081, 28070])).
% 14.50/10.24 tff(28083,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s312, s313)) | (~xuntil6(s312)) | until5(s313))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s312, s313)) | (~xuntil6(s312)) | until5(s313))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28084,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s312, s313)) | (~xuntil6(s312)) | until5(s313))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28085,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s312, s313)) | (~xuntil6(s312)) | until5(s313)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28084, 28083])).
% 14.50/10.24 tff(28086,plain,
% 14.50/10.24 ((~xuntil6(s312)) | until5(s313)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28085, 27946, 312])).
% 14.50/10.24 tff(28087,plain,
% 14.50/10.24 (until5(s313)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28086, 28082])).
% 14.50/10.24 tff(28088,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s313) | (~node4(s313)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s313) | (~node4(s313)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28089,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s313) | (~node4(s313)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28090,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s313) | (~node4(s313))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28089, 28088])).
% 14.50/10.24 tff(28091,plain,
% 14.50/10.24 (~node4(s313)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28090, 36, 27943])).
% 14.50/10.24 tff(28092,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s313) | node4(s313) | (~until5(s313)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s313) | node4(s313) | (~until5(s313)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28093,plain,
% 14.50/10.24 ((node4(s313) | (~until5(s313)) | xuntil6(s313)) <=> (xuntil6(s313) | node4(s313) | (~until5(s313)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28094,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s313) | (~until5(s313)) | xuntil6(s313))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s313) | node4(s313) | (~until5(s313))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28093])).
% 14.50/10.24 tff(28095,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s313) | (~until5(s313)) | xuntil6(s313))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s313) | node4(s313) | (~until5(s313)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28094, 28092])).
% 14.50/10.24 tff(28096,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s313) | (~until5(s313)) | xuntil6(s313))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28097,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s313) | node4(s313) | (~until5(s313))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28096, 28095])).
% 14.50/10.24 tff(28098,plain,
% 14.50/10.24 (xuntil6(s313) | (~until5(s313))),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28097, 294, 28091])).
% 14.50/10.24 tff(28099,plain,
% 14.50/10.24 (xuntil6(s313)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28098, 28087])).
% 14.50/10.24 tff(28100,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28101,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28102,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28101, 28100])).
% 14.50/10.24 tff(28103,plain,
% 14.50/10.24 ((~xuntil6(s313)) | until5(s314)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28102, 27934, 312])).
% 14.50/10.24 tff(28104,plain,
% 14.50/10.24 (until5(s314)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28103, 28099])).
% 14.50/10.24 tff(28105,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s314) | (~node4(s314)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s314) | (~node4(s314)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28106,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s314) | (~node4(s314)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28107,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s314) | (~node4(s314))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 14.50/10.24 tff(28108,plain,
% 14.50/10.24 (~node4(s314)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28107, 36, 27931])).
% 14.50/10.24 tff(28109,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s314) | node4(s314) | (~until5(s314)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s314) | node4(s314) | (~until5(s314)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28110,plain,
% 14.50/10.24 ((node4(s314) | (~until5(s314)) | xuntil6(s314)) <=> (xuntil6(s314) | node4(s314) | (~until5(s314)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28111,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s314) | (~until5(s314)) | xuntil6(s314))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s314) | node4(s314) | (~until5(s314))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28110])).
% 14.50/10.24 tff(28112,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s314) | (~until5(s314)) | xuntil6(s314))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s314) | node4(s314) | (~until5(s314)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28111, 28109])).
% 14.50/10.24 tff(28113,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s314) | (~until5(s314)) | xuntil6(s314))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28114,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s314) | node4(s314) | (~until5(s314))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28113, 28112])).
% 14.50/10.24 tff(28115,plain,
% 14.50/10.24 (xuntil6(s314) | (~until5(s314))),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28114, 294, 28108])).
% 14.50/10.24 tff(28116,plain,
% 14.50/10.24 (xuntil6(s314)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28115, 28104])).
% 14.50/10.24 tff(28117,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28118,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28119,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28118, 28117])).
% 14.50/10.24 tff(28120,plain,
% 14.50/10.24 ((~xuntil6(s314)) | until5(s315)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28119, 27922, 312])).
% 14.50/10.24 tff(28121,plain,
% 14.50/10.24 (until5(s315)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28120, 28116])).
% 14.50/10.24 tff(28122,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s315) | (~node4(s315)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s315) | (~node4(s315)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28123,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s315) | (~node4(s315)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28124,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s315) | (~node4(s315))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28123, 28122])).
% 14.50/10.24 tff(28125,plain,
% 14.50/10.24 (~node4(s315)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28124, 36, 27919])).
% 14.50/10.24 tff(28126,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s315) | node4(s315) | (~until5(s315)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s315) | node4(s315) | (~until5(s315)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28127,plain,
% 14.50/10.24 ((node4(s315) | (~until5(s315)) | xuntil6(s315)) <=> (xuntil6(s315) | node4(s315) | (~until5(s315)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28128,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s315) | (~until5(s315)) | xuntil6(s315))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s315) | node4(s315) | (~until5(s315))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28127])).
% 14.50/10.24 tff(28129,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s315) | (~until5(s315)) | xuntil6(s315))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s315) | node4(s315) | (~until5(s315)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28128, 28126])).
% 14.50/10.24 tff(28130,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s315) | (~until5(s315)) | xuntil6(s315))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28131,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s315) | node4(s315) | (~until5(s315))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28130, 28129])).
% 14.50/10.24 tff(28132,plain,
% 14.50/10.24 (xuntil6(s315) | (~until5(s315))),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28131, 294, 28125])).
% 14.50/10.24 tff(28133,plain,
% 14.50/10.24 (xuntil6(s315)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28132, 28121])).
% 14.50/10.24 tff(28134,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28135,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28136,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28135, 28134])).
% 14.50/10.24 tff(28137,plain,
% 14.50/10.24 ((~xuntil6(s315)) | until5(s316)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28136, 27910, 312])).
% 14.50/10.24 tff(28138,plain,
% 14.50/10.24 (until5(s316)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28137, 28133])).
% 14.50/10.24 tff(28139,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s316) | (~node4(s316)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s316) | (~node4(s316)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28140,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s316) | (~node4(s316)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28141,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s316) | (~node4(s316))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28140, 28139])).
% 14.50/10.24 tff(28142,plain,
% 14.50/10.24 (~node4(s316)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28141, 36, 27907])).
% 14.50/10.24 tff(28143,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s316) | node4(s316) | (~until5(s316)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s316) | node4(s316) | (~until5(s316)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28144,plain,
% 14.50/10.24 ((node4(s316) | (~until5(s316)) | xuntil6(s316)) <=> (xuntil6(s316) | node4(s316) | (~until5(s316)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28145,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s316) | (~until5(s316)) | xuntil6(s316))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s316) | node4(s316) | (~until5(s316))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28144])).
% 14.50/10.24 tff(28146,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s316) | (~until5(s316)) | xuntil6(s316))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s316) | node4(s316) | (~until5(s316)))),
% 14.50/10.24 inference(transitivity,[status(thm)],[28145, 28143])).
% 14.50/10.24 tff(28147,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s316) | (~until5(s316)) | xuntil6(s316))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28148,plain,
% 14.50/10.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s316) | node4(s316) | (~until5(s316))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28147, 28146])).
% 14.50/10.24 tff(28149,plain,
% 14.50/10.24 (xuntil6(s316) | (~until5(s316))),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28148, 294, 28142])).
% 14.50/10.24 tff(28150,plain,
% 14.50/10.24 (xuntil6(s316)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28149, 28138])).
% 14.50/10.24 tff(28151,plain,
% 14.50/10.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28152,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28153,plain,
% 14.50/10.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317)),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28152, 28151])).
% 14.50/10.24 tff(28154,plain,
% 14.50/10.24 ((~xuntil6(s316)) | until5(s317)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28153, 27898, 312])).
% 14.50/10.24 tff(28155,plain,
% 14.50/10.24 (until5(s317)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28154, 28150])).
% 14.50/10.24 tff(28156,plain,
% 14.50/10.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s317) | (~node4(s317)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s317) | (~node4(s317)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28157,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s317) | (~node4(s317)))),
% 14.50/10.24 inference(quant_inst,[status(thm)],[])).
% 14.50/10.24 tff(28158,plain,
% 14.50/10.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s317) | (~node4(s317))),
% 14.50/10.24 inference(modus_ponens,[status(thm)],[28157, 28156])).
% 14.50/10.24 tff(28159,plain,
% 14.50/10.24 (~node4(s317)),
% 14.50/10.24 inference(unit_resolution,[status(thm)],[28158, 36, 27895])).
% 14.50/10.24 tff(28160,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s317) | node4(s317) | (~until5(s317)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s317) | node4(s317) | (~until5(s317)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28161,plain,
% 14.50/10.24 ((node4(s317) | (~until5(s317)) | xuntil6(s317)) <=> (xuntil6(s317) | node4(s317) | (~until5(s317)))),
% 14.50/10.24 inference(rewrite,[status(thm)],[])).
% 14.50/10.24 tff(28162,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s317) | (~until5(s317)) | xuntil6(s317))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s317) | node4(s317) | (~until5(s317))))),
% 14.50/10.24 inference(monotonicity,[status(thm)],[28161])).
% 14.50/10.24 tff(28163,plain,
% 14.50/10.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s317) | (~until5(s317)) | xuntil6(s317))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s317) | node4(s317) | (~until5(s317)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28162, 28160])).
% 14.50/10.25 tff(28164,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s317) | (~until5(s317)) | xuntil6(s317))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28165,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s317) | node4(s317) | (~until5(s317))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28164, 28163])).
% 14.50/10.25 tff(28166,plain,
% 14.50/10.25 (xuntil6(s317) | (~until5(s317))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28165, 294, 28159])).
% 14.50/10.25 tff(28167,plain,
% 14.50/10.25 (xuntil6(s317)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28166, 28155])).
% 14.50/10.25 tff(28168,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s317, s318)) | (~xuntil6(s317)) | until5(s318))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s317, s318)) | (~xuntil6(s317)) | until5(s318))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28169,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s317, s318)) | (~xuntil6(s317)) | until5(s318))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28170,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s317, s318)) | (~xuntil6(s317)) | until5(s318)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28169, 28168])).
% 14.50/10.25 tff(28171,plain,
% 14.50/10.25 ((~xuntil6(s317)) | until5(s318)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28170, 27886, 312])).
% 14.50/10.25 tff(28172,plain,
% 14.50/10.25 (until5(s318)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28171, 28167])).
% 14.50/10.25 tff(28173,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s318) | (~node4(s318)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s318) | (~node4(s318)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28174,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s318) | (~node4(s318)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28175,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s318) | (~node4(s318))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28174, 28173])).
% 14.50/10.25 tff(28176,plain,
% 14.50/10.25 (~node4(s318)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28175, 36, 27883])).
% 14.50/10.25 tff(28177,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s318) | node4(s318) | (~until5(s318)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s318) | node4(s318) | (~until5(s318)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28178,plain,
% 14.50/10.25 ((node4(s318) | (~until5(s318)) | xuntil6(s318)) <=> (xuntil6(s318) | node4(s318) | (~until5(s318)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28179,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s318) | (~until5(s318)) | xuntil6(s318))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s318) | node4(s318) | (~until5(s318))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28178])).
% 14.50/10.25 tff(28180,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s318) | (~until5(s318)) | xuntil6(s318))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s318) | node4(s318) | (~until5(s318)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28179, 28177])).
% 14.50/10.25 tff(28181,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s318) | (~until5(s318)) | xuntil6(s318))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28182,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s318) | node4(s318) | (~until5(s318))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28181, 28180])).
% 14.50/10.25 tff(28183,plain,
% 14.50/10.25 (xuntil6(s318) | (~until5(s318))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28182, 294, 28176])).
% 14.50/10.25 tff(28184,plain,
% 14.50/10.25 (xuntil6(s318)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28183, 28172])).
% 14.50/10.25 tff(28185,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s318, s319)) | (~xuntil6(s318)) | until5(s319))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s318, s319)) | (~xuntil6(s318)) | until5(s319))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28186,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s318, s319)) | (~xuntil6(s318)) | until5(s319))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28187,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s318, s319)) | (~xuntil6(s318)) | until5(s319)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28186, 28185])).
% 14.50/10.25 tff(28188,plain,
% 14.50/10.25 ((~xuntil6(s318)) | until5(s319)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28187, 27874, 312])).
% 14.50/10.25 tff(28189,plain,
% 14.50/10.25 (until5(s319)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28188, 28184])).
% 14.50/10.25 tff(28190,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s319) | (~node4(s319)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s319) | (~node4(s319)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28191,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s319) | (~node4(s319)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28192,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s319) | (~node4(s319))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28191, 28190])).
% 14.50/10.25 tff(28193,plain,
% 14.50/10.25 (~node4(s319)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28192, 36, 27871])).
% 14.50/10.25 tff(28194,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s319) | node4(s319) | (~until5(s319)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s319) | node4(s319) | (~until5(s319)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28195,plain,
% 14.50/10.25 ((node4(s319) | (~until5(s319)) | xuntil6(s319)) <=> (xuntil6(s319) | node4(s319) | (~until5(s319)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28196,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s319) | (~until5(s319)) | xuntil6(s319))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s319) | node4(s319) | (~until5(s319))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28195])).
% 14.50/10.25 tff(28197,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s319) | (~until5(s319)) | xuntil6(s319))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s319) | node4(s319) | (~until5(s319)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28196, 28194])).
% 14.50/10.25 tff(28198,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s319) | (~until5(s319)) | xuntil6(s319))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28199,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s319) | node4(s319) | (~until5(s319))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 14.50/10.25 tff(28200,plain,
% 14.50/10.25 (xuntil6(s319) | (~until5(s319))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28199, 294, 28193])).
% 14.50/10.25 tff(28201,plain,
% 14.50/10.25 (xuntil6(s319)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28200, 28189])).
% 14.50/10.25 tff(28202,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s319, s320)) | (~xuntil6(s319)) | until5(s320))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s319, s320)) | (~xuntil6(s319)) | until5(s320))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28203,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s319, s320)) | (~xuntil6(s319)) | until5(s320))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28204,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s319, s320)) | (~xuntil6(s319)) | until5(s320)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28203, 28202])).
% 14.50/10.25 tff(28205,plain,
% 14.50/10.25 ((~xuntil6(s319)) | until5(s320)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28204, 27862, 312])).
% 14.50/10.25 tff(28206,plain,
% 14.50/10.25 (until5(s320)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28205, 28201])).
% 14.50/10.25 tff(28207,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s320) | (~node4(s320)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s320) | (~node4(s320)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28208,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s320) | (~node4(s320)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28209,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s320) | (~node4(s320))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28208, 28207])).
% 14.50/10.25 tff(28210,plain,
% 14.50/10.25 (~node4(s320)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28209, 36, 27859])).
% 14.50/10.25 tff(28211,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s320) | node4(s320) | (~until5(s320)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s320) | node4(s320) | (~until5(s320)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28212,plain,
% 14.50/10.25 ((node4(s320) | (~until5(s320)) | xuntil6(s320)) <=> (xuntil6(s320) | node4(s320) | (~until5(s320)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28213,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s320) | (~until5(s320)) | xuntil6(s320))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s320) | node4(s320) | (~until5(s320))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28212])).
% 14.50/10.25 tff(28214,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s320) | (~until5(s320)) | xuntil6(s320))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s320) | node4(s320) | (~until5(s320)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28213, 28211])).
% 14.50/10.25 tff(28215,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s320) | (~until5(s320)) | xuntil6(s320))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28216,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s320) | node4(s320) | (~until5(s320))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28215, 28214])).
% 14.50/10.25 tff(28217,plain,
% 14.50/10.25 (xuntil6(s320) | (~until5(s320))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28216, 294, 28210])).
% 14.50/10.25 tff(28218,plain,
% 14.50/10.25 (xuntil6(s320)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28217, 28206])).
% 14.50/10.25 tff(28219,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s320, s321)) | (~xuntil6(s320)) | until5(s321))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s320, s321)) | (~xuntil6(s320)) | until5(s321))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28220,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s320, s321)) | (~xuntil6(s320)) | until5(s321))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28221,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s320, s321)) | (~xuntil6(s320)) | until5(s321)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28220, 28219])).
% 14.50/10.25 tff(28222,plain,
% 14.50/10.25 ((~xuntil6(s320)) | until5(s321)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28221, 27850, 312])).
% 14.50/10.25 tff(28223,plain,
% 14.50/10.25 (until5(s321)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28222, 28218])).
% 14.50/10.25 tff(28224,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s321) | (~node4(s321)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s321) | (~node4(s321)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28225,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s321) | (~node4(s321)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28226,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s321) | (~node4(s321))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28225, 28224])).
% 14.50/10.25 tff(28227,plain,
% 14.50/10.25 (~node4(s321)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28226, 36, 27847])).
% 14.50/10.25 tff(28228,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s321) | node4(s321) | (~until5(s321)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s321) | node4(s321) | (~until5(s321)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28229,plain,
% 14.50/10.25 ((node4(s321) | (~until5(s321)) | xuntil6(s321)) <=> (xuntil6(s321) | node4(s321) | (~until5(s321)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28230,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s321) | (~until5(s321)) | xuntil6(s321))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s321) | node4(s321) | (~until5(s321))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28229])).
% 14.50/10.25 tff(28231,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s321) | (~until5(s321)) | xuntil6(s321))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s321) | node4(s321) | (~until5(s321)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28230, 28228])).
% 14.50/10.25 tff(28232,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s321) | (~until5(s321)) | xuntil6(s321))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28233,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s321) | node4(s321) | (~until5(s321))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28232, 28231])).
% 14.50/10.25 tff(28234,plain,
% 14.50/10.25 (xuntil6(s321) | (~until5(s321))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28233, 294, 28227])).
% 14.50/10.25 tff(28235,plain,
% 14.50/10.25 (xuntil6(s321)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28234, 28223])).
% 14.50/10.25 tff(28236,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s321, s322)) | (~xuntil6(s321)) | until5(s322))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s321, s322)) | (~xuntil6(s321)) | until5(s322))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28237,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s321, s322)) | (~xuntil6(s321)) | until5(s322))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28238,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s321, s322)) | (~xuntil6(s321)) | until5(s322)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28237, 28236])).
% 14.50/10.25 tff(28239,plain,
% 14.50/10.25 ((~xuntil6(s321)) | until5(s322)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28238, 27838, 312])).
% 14.50/10.25 tff(28240,plain,
% 14.50/10.25 (until5(s322)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28239, 28235])).
% 14.50/10.25 tff(28241,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s322) | (~node4(s322)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s322) | (~node4(s322)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28242,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s322) | (~node4(s322)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28243,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s322) | (~node4(s322))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28242, 28241])).
% 14.50/10.25 tff(28244,plain,
% 14.50/10.25 (~node4(s322)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28243, 36, 27835])).
% 14.50/10.25 tff(28245,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s322) | node4(s322) | (~until5(s322)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s322) | node4(s322) | (~until5(s322)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28246,plain,
% 14.50/10.25 ((node4(s322) | (~until5(s322)) | xuntil6(s322)) <=> (xuntil6(s322) | node4(s322) | (~until5(s322)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28247,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s322) | (~until5(s322)) | xuntil6(s322))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s322) | node4(s322) | (~until5(s322))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28246])).
% 14.50/10.25 tff(28248,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s322) | (~until5(s322)) | xuntil6(s322))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s322) | node4(s322) | (~until5(s322)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28247, 28245])).
% 14.50/10.25 tff(28249,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s322) | (~until5(s322)) | xuntil6(s322))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28250,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s322) | node4(s322) | (~until5(s322))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28249, 28248])).
% 14.50/10.25 tff(28251,plain,
% 14.50/10.25 (xuntil6(s322) | (~until5(s322))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28250, 294, 28244])).
% 14.50/10.25 tff(28252,plain,
% 14.50/10.25 (xuntil6(s322)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28251, 28240])).
% 14.50/10.25 tff(28253,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s322, s323)) | (~xuntil6(s322)) | until5(s323))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s322, s323)) | (~xuntil6(s322)) | until5(s323))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28254,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s322, s323)) | (~xuntil6(s322)) | until5(s323))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28255,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s322, s323)) | (~xuntil6(s322)) | until5(s323)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28254, 28253])).
% 14.50/10.25 tff(28256,plain,
% 14.50/10.25 ((~xuntil6(s322)) | until5(s323)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28255, 27826, 312])).
% 14.50/10.25 tff(28257,plain,
% 14.50/10.25 (until5(s323)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28256, 28252])).
% 14.50/10.25 tff(28258,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s323) | (~node4(s323)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s323) | (~node4(s323)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28259,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s323) | (~node4(s323)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28260,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s323) | (~node4(s323))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28259, 28258])).
% 14.50/10.25 tff(28261,plain,
% 14.50/10.25 (~node4(s323)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28260, 36, 27823])).
% 14.50/10.25 tff(28262,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s323) | node4(s323) | (~until5(s323)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s323) | node4(s323) | (~until5(s323)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28263,plain,
% 14.50/10.25 ((node4(s323) | (~until5(s323)) | xuntil6(s323)) <=> (xuntil6(s323) | node4(s323) | (~until5(s323)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28264,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s323) | (~until5(s323)) | xuntil6(s323))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s323) | node4(s323) | (~until5(s323))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28263])).
% 14.50/10.25 tff(28265,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s323) | (~until5(s323)) | xuntil6(s323))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s323) | node4(s323) | (~until5(s323)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28264, 28262])).
% 14.50/10.25 tff(28266,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s323) | (~until5(s323)) | xuntil6(s323))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28267,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s323) | node4(s323) | (~until5(s323))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 14.50/10.25 tff(28268,plain,
% 14.50/10.25 (xuntil6(s323) | (~until5(s323))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28267, 294, 28261])).
% 14.50/10.25 tff(28269,plain,
% 14.50/10.25 (xuntil6(s323)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28268, 28257])).
% 14.50/10.25 tff(28270,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s323, s324)) | (~xuntil6(s323)) | until5(s324))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s323, s324)) | (~xuntil6(s323)) | until5(s324))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28271,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s323, s324)) | (~xuntil6(s323)) | until5(s324))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28272,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s323, s324)) | (~xuntil6(s323)) | until5(s324)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28271, 28270])).
% 14.50/10.25 tff(28273,plain,
% 14.50/10.25 ((~xuntil6(s323)) | until5(s324)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28272, 27814, 312])).
% 14.50/10.25 tff(28274,plain,
% 14.50/10.25 (until5(s324)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28273, 28269])).
% 14.50/10.25 tff(28275,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s324) | (~node4(s324)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s324) | (~node4(s324)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28276,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s324) | (~node4(s324)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28277,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s324) | (~node4(s324))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28276, 28275])).
% 14.50/10.25 tff(28278,plain,
% 14.50/10.25 (~node4(s324)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28277, 36, 27811])).
% 14.50/10.25 tff(28279,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s324) | node4(s324) | (~until5(s324)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s324) | node4(s324) | (~until5(s324)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28280,plain,
% 14.50/10.25 ((node4(s324) | (~until5(s324)) | xuntil6(s324)) <=> (xuntil6(s324) | node4(s324) | (~until5(s324)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28281,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s324) | (~until5(s324)) | xuntil6(s324))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s324) | node4(s324) | (~until5(s324))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28280])).
% 14.50/10.25 tff(28282,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s324) | (~until5(s324)) | xuntil6(s324))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s324) | node4(s324) | (~until5(s324)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28281, 28279])).
% 14.50/10.25 tff(28283,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s324) | (~until5(s324)) | xuntil6(s324))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28284,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s324) | node4(s324) | (~until5(s324))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28283, 28282])).
% 14.50/10.25 tff(28285,plain,
% 14.50/10.25 (xuntil6(s324) | (~until5(s324))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28284, 294, 28278])).
% 14.50/10.25 tff(28286,plain,
% 14.50/10.25 (xuntil6(s324)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28285, 28274])).
% 14.50/10.25 tff(28287,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s324, s325)) | (~xuntil6(s324)) | until5(s325))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s324, s325)) | (~xuntil6(s324)) | until5(s325))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28288,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s324, s325)) | (~xuntil6(s324)) | until5(s325))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28289,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s324, s325)) | (~xuntil6(s324)) | until5(s325)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28288, 28287])).
% 14.50/10.25 tff(28290,plain,
% 14.50/10.25 ((~xuntil6(s324)) | until5(s325)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28289, 27802, 312])).
% 14.50/10.25 tff(28291,plain,
% 14.50/10.25 (until5(s325)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28290, 28286])).
% 14.50/10.25 tff(28292,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s325) | (~node4(s325)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s325) | (~node4(s325)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28293,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s325) | (~node4(s325)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28294,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s325) | (~node4(s325))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28293, 28292])).
% 14.50/10.25 tff(28295,plain,
% 14.50/10.25 (~node4(s325)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28294, 36, 27799])).
% 14.50/10.25 tff(28296,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s325) | node4(s325) | (~until5(s325)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s325) | node4(s325) | (~until5(s325)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28297,plain,
% 14.50/10.25 ((node4(s325) | (~until5(s325)) | xuntil6(s325)) <=> (xuntil6(s325) | node4(s325) | (~until5(s325)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28298,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s325) | (~until5(s325)) | xuntil6(s325))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s325) | node4(s325) | (~until5(s325))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28297])).
% 14.50/10.25 tff(28299,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s325) | (~until5(s325)) | xuntil6(s325))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s325) | node4(s325) | (~until5(s325)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28298, 28296])).
% 14.50/10.25 tff(28300,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s325) | (~until5(s325)) | xuntil6(s325))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28301,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s325) | node4(s325) | (~until5(s325))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28300, 28299])).
% 14.50/10.25 tff(28302,plain,
% 14.50/10.25 (xuntil6(s325) | (~until5(s325))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28301, 294, 28295])).
% 14.50/10.25 tff(28303,plain,
% 14.50/10.25 (xuntil6(s325)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28302, 28291])).
% 14.50/10.25 tff(28304,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s325, s326)) | (~xuntil6(s325)) | until5(s326))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s325, s326)) | (~xuntil6(s325)) | until5(s326))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28305,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s325, s326)) | (~xuntil6(s325)) | until5(s326))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28306,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s325, s326)) | (~xuntil6(s325)) | until5(s326)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28305, 28304])).
% 14.50/10.25 tff(28307,plain,
% 14.50/10.25 ((~xuntil6(s325)) | until5(s326)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28306, 27790, 312])).
% 14.50/10.25 tff(28308,plain,
% 14.50/10.25 (until5(s326)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28307, 28303])).
% 14.50/10.25 tff(28309,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s326) | (~node4(s326)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s326) | (~node4(s326)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28310,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s326) | (~node4(s326)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28311,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s326) | (~node4(s326))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28310, 28309])).
% 14.50/10.25 tff(28312,plain,
% 14.50/10.25 (~node4(s326)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28311, 36, 27787])).
% 14.50/10.25 tff(28313,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s326) | node4(s326) | (~until5(s326)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s326) | node4(s326) | (~until5(s326)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28314,plain,
% 14.50/10.25 ((node4(s326) | (~until5(s326)) | xuntil6(s326)) <=> (xuntil6(s326) | node4(s326) | (~until5(s326)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28315,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s326) | (~until5(s326)) | xuntil6(s326))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s326) | node4(s326) | (~until5(s326))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28314])).
% 14.50/10.25 tff(28316,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s326) | (~until5(s326)) | xuntil6(s326))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s326) | node4(s326) | (~until5(s326)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28315, 28313])).
% 14.50/10.25 tff(28317,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s326) | (~until5(s326)) | xuntil6(s326))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28318,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s326) | node4(s326) | (~until5(s326))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28317, 28316])).
% 14.50/10.25 tff(28319,plain,
% 14.50/10.25 (xuntil6(s326) | (~until5(s326))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28318, 294, 28312])).
% 14.50/10.25 tff(28320,plain,
% 14.50/10.25 (xuntil6(s326)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28319, 28308])).
% 14.50/10.25 tff(28321,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28322,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28323,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28322, 28321])).
% 14.50/10.25 tff(28324,plain,
% 14.50/10.25 ((~xuntil6(s326)) | until5(s327)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28323, 27778, 312])).
% 14.50/10.25 tff(28325,plain,
% 14.50/10.25 (until5(s327)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28324, 28320])).
% 14.50/10.25 tff(28326,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s327) | (~node4(s327)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s327) | (~node4(s327)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28327,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s327) | (~node4(s327)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28328,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s327) | (~node4(s327))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28327, 28326])).
% 14.50/10.25 tff(28329,plain,
% 14.50/10.25 (~node4(s327)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28328, 36, 27775])).
% 14.50/10.25 tff(28330,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s327) | node4(s327) | (~until5(s327)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s327) | node4(s327) | (~until5(s327)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28331,plain,
% 14.50/10.25 ((node4(s327) | (~until5(s327)) | xuntil6(s327)) <=> (xuntil6(s327) | node4(s327) | (~until5(s327)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28332,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s327) | (~until5(s327)) | xuntil6(s327))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s327) | node4(s327) | (~until5(s327))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28331])).
% 14.50/10.25 tff(28333,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s327) | (~until5(s327)) | xuntil6(s327))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s327) | node4(s327) | (~until5(s327)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28332, 28330])).
% 14.50/10.25 tff(28334,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s327) | (~until5(s327)) | xuntil6(s327))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28335,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s327) | node4(s327) | (~until5(s327))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28334, 28333])).
% 14.50/10.25 tff(28336,plain,
% 14.50/10.25 (xuntil6(s327) | (~until5(s327))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28335, 294, 28329])).
% 14.50/10.25 tff(28337,plain,
% 14.50/10.25 (xuntil6(s327)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28336, 28325])).
% 14.50/10.25 tff(28338,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s327, s328)) | (~xuntil6(s327)) | until5(s328))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s327, s328)) | (~xuntil6(s327)) | until5(s328))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28339,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s327, s328)) | (~xuntil6(s327)) | until5(s328))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28340,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s327, s328)) | (~xuntil6(s327)) | until5(s328)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28339, 28338])).
% 14.50/10.25 tff(28341,plain,
% 14.50/10.25 ((~xuntil6(s327)) | until5(s328)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28340, 27766, 312])).
% 14.50/10.25 tff(28342,plain,
% 14.50/10.25 (until5(s328)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28341, 28337])).
% 14.50/10.25 tff(28343,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s328) | (~node4(s328)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s328) | (~node4(s328)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28344,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s328) | (~node4(s328)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28345,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s328) | (~node4(s328))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28344, 28343])).
% 14.50/10.25 tff(28346,plain,
% 14.50/10.25 (~node4(s328)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28345, 36, 27763])).
% 14.50/10.25 tff(28347,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s328) | node4(s328) | (~until5(s328)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s328) | node4(s328) | (~until5(s328)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28348,plain,
% 14.50/10.25 ((node4(s328) | (~until5(s328)) | xuntil6(s328)) <=> (xuntil6(s328) | node4(s328) | (~until5(s328)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28349,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s328) | (~until5(s328)) | xuntil6(s328))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s328) | node4(s328) | (~until5(s328))))),
% 14.50/10.25 inference(monotonicity,[status(thm)],[28348])).
% 14.50/10.25 tff(28350,plain,
% 14.50/10.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s328) | (~until5(s328)) | xuntil6(s328))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s328) | node4(s328) | (~until5(s328)))),
% 14.50/10.25 inference(transitivity,[status(thm)],[28349, 28347])).
% 14.50/10.25 tff(28351,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s328) | (~until5(s328)) | xuntil6(s328))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28352,plain,
% 14.50/10.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s328) | node4(s328) | (~until5(s328))),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28351, 28350])).
% 14.50/10.25 tff(28353,plain,
% 14.50/10.25 (xuntil6(s328) | (~until5(s328))),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28352, 294, 28346])).
% 14.50/10.25 tff(28354,plain,
% 14.50/10.25 (xuntil6(s328)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28353, 28342])).
% 14.50/10.25 tff(28355,plain,
% 14.50/10.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s328, s329)) | (~xuntil6(s328)) | until5(s329))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s328, s329)) | (~xuntil6(s328)) | until5(s329))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28356,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s328, s329)) | (~xuntil6(s328)) | until5(s329))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.25 tff(28357,plain,
% 14.50/10.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s328, s329)) | (~xuntil6(s328)) | until5(s329)),
% 14.50/10.25 inference(modus_ponens,[status(thm)],[28356, 28355])).
% 14.50/10.25 tff(28358,plain,
% 14.50/10.25 ((~xuntil6(s328)) | until5(s329)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28357, 27754, 312])).
% 14.50/10.25 tff(28359,plain,
% 14.50/10.25 (until5(s329)),
% 14.50/10.25 inference(unit_resolution,[status(thm)],[28358, 28354])).
% 14.50/10.25 tff(28360,plain,
% 14.50/10.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s329) | (~node4(s329)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s329) | (~node4(s329)))),
% 14.50/10.25 inference(rewrite,[status(thm)],[])).
% 14.50/10.25 tff(28361,plain,
% 14.50/10.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s329) | (~node4(s329)))),
% 14.50/10.25 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28362,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s329) | (~node4(s329))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28361, 28360])).
% 14.50/10.26 tff(28363,plain,
% 14.50/10.26 (~node4(s329)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28362, 36, 27751])).
% 14.50/10.26 tff(28364,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s329) | node4(s329) | (~until5(s329)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s329) | node4(s329) | (~until5(s329)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28365,plain,
% 14.50/10.26 ((node4(s329) | (~until5(s329)) | xuntil6(s329)) <=> (xuntil6(s329) | node4(s329) | (~until5(s329)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28366,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s329) | (~until5(s329)) | xuntil6(s329))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s329) | node4(s329) | (~until5(s329))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28365])).
% 14.50/10.26 tff(28367,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s329) | (~until5(s329)) | xuntil6(s329))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s329) | node4(s329) | (~until5(s329)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28366, 28364])).
% 14.50/10.26 tff(28368,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s329) | (~until5(s329)) | xuntil6(s329))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28369,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s329) | node4(s329) | (~until5(s329))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28368, 28367])).
% 14.50/10.26 tff(28370,plain,
% 14.50/10.26 (xuntil6(s329) | (~until5(s329))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28369, 294, 28363])).
% 14.50/10.26 tff(28371,plain,
% 14.50/10.26 (xuntil6(s329)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28370, 28359])).
% 14.50/10.26 tff(28372,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s329, s330)) | (~xuntil6(s329)) | until5(s330))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s329, s330)) | (~xuntil6(s329)) | until5(s330))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28373,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s329, s330)) | (~xuntil6(s329)) | until5(s330))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28374,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s329, s330)) | (~xuntil6(s329)) | until5(s330)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28373, 28372])).
% 14.50/10.26 tff(28375,plain,
% 14.50/10.26 ((~xuntil6(s329)) | until5(s330)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28374, 27742, 312])).
% 14.50/10.26 tff(28376,plain,
% 14.50/10.26 (until5(s330)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28375, 28371])).
% 14.50/10.26 tff(28377,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s330) | (~node4(s330)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s330) | (~node4(s330)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28378,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s330) | (~node4(s330)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28379,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s330) | (~node4(s330))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28378, 28377])).
% 14.50/10.26 tff(28380,plain,
% 14.50/10.26 (~node4(s330)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28379, 36, 27739])).
% 14.50/10.26 tff(28381,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s330) | node4(s330) | (~until5(s330)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s330) | node4(s330) | (~until5(s330)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28382,plain,
% 14.50/10.26 ((node4(s330) | (~until5(s330)) | xuntil6(s330)) <=> (xuntil6(s330) | node4(s330) | (~until5(s330)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28383,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s330) | (~until5(s330)) | xuntil6(s330))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s330) | node4(s330) | (~until5(s330))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28382])).
% 14.50/10.26 tff(28384,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s330) | (~until5(s330)) | xuntil6(s330))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s330) | node4(s330) | (~until5(s330)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28383, 28381])).
% 14.50/10.26 tff(28385,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s330) | (~until5(s330)) | xuntil6(s330))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28386,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s330) | node4(s330) | (~until5(s330))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28385, 28384])).
% 14.50/10.26 tff(28387,plain,
% 14.50/10.26 (xuntil6(s330) | (~until5(s330))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28386, 294, 28380])).
% 14.50/10.26 tff(28388,plain,
% 14.50/10.26 (xuntil6(s330)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28387, 28376])).
% 14.50/10.26 tff(28389,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28390,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28391,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28390, 28389])).
% 14.50/10.26 tff(28392,plain,
% 14.50/10.26 ((~xuntil6(s330)) | until5(s331)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28391, 27730, 312])).
% 14.50/10.26 tff(28393,plain,
% 14.50/10.26 (until5(s331)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28392, 28388])).
% 14.50/10.26 tff(28394,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s331) | (~node4(s331)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s331) | (~node4(s331)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28395,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s331) | (~node4(s331)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28396,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s331) | (~node4(s331))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28395, 28394])).
% 14.50/10.26 tff(28397,plain,
% 14.50/10.26 (~node4(s331)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28396, 36, 27727])).
% 14.50/10.26 tff(28398,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s331) | node4(s331) | (~until5(s331)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s331) | node4(s331) | (~until5(s331)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28399,plain,
% 14.50/10.26 ((node4(s331) | (~until5(s331)) | xuntil6(s331)) <=> (xuntil6(s331) | node4(s331) | (~until5(s331)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28400,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s331) | (~until5(s331)) | xuntil6(s331))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s331) | node4(s331) | (~until5(s331))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28399])).
% 14.50/10.26 tff(28401,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s331) | (~until5(s331)) | xuntil6(s331))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s331) | node4(s331) | (~until5(s331)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28400, 28398])).
% 14.50/10.26 tff(28402,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s331) | (~until5(s331)) | xuntil6(s331))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28403,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s331) | node4(s331) | (~until5(s331))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28402, 28401])).
% 14.50/10.26 tff(28404,plain,
% 14.50/10.26 (xuntil6(s331) | (~until5(s331))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28403, 294, 28397])).
% 14.50/10.26 tff(28405,plain,
% 14.50/10.26 (xuntil6(s331)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28404, 28393])).
% 14.50/10.26 tff(28406,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28407,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28408,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 14.50/10.26 tff(28409,plain,
% 14.50/10.26 ((~xuntil6(s331)) | until5(s332)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28408, 27718, 312])).
% 14.50/10.26 tff(28410,plain,
% 14.50/10.26 (until5(s332)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28409, 28405])).
% 14.50/10.26 tff(28411,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s332) | (~node4(s332)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s332) | (~node4(s332)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28412,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s332) | (~node4(s332)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28413,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s332) | (~node4(s332))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 14.50/10.26 tff(28414,plain,
% 14.50/10.26 (~node4(s332)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28413, 36, 27715])).
% 14.50/10.26 tff(28415,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s332) | node4(s332) | (~until5(s332)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s332) | node4(s332) | (~until5(s332)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28416,plain,
% 14.50/10.26 ((node4(s332) | (~until5(s332)) | xuntil6(s332)) <=> (xuntil6(s332) | node4(s332) | (~until5(s332)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28417,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s332) | (~until5(s332)) | xuntil6(s332))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s332) | node4(s332) | (~until5(s332))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28416])).
% 14.50/10.26 tff(28418,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s332) | (~until5(s332)) | xuntil6(s332))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s332) | node4(s332) | (~until5(s332)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28417, 28415])).
% 14.50/10.26 tff(28419,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s332) | (~until5(s332)) | xuntil6(s332))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28420,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s332) | node4(s332) | (~until5(s332))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28419, 28418])).
% 14.50/10.26 tff(28421,plain,
% 14.50/10.26 (xuntil6(s332) | (~until5(s332))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28420, 294, 28414])).
% 14.50/10.26 tff(28422,plain,
% 14.50/10.26 (xuntil6(s332)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28421, 28410])).
% 14.50/10.26 tff(28423,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28424,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28425,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 14.50/10.26 tff(28426,plain,
% 14.50/10.26 ((~xuntil6(s332)) | until5(s333)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28425, 27706, 312])).
% 14.50/10.26 tff(28427,plain,
% 14.50/10.26 (until5(s333)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28426, 28422])).
% 14.50/10.26 tff(28428,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s333) | (~node4(s333)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s333) | (~node4(s333)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28429,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s333) | (~node4(s333)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28430,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s333) | (~node4(s333))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28429, 28428])).
% 14.50/10.26 tff(28431,plain,
% 14.50/10.26 (~node4(s333)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28430, 36, 27703])).
% 14.50/10.26 tff(28432,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s333) | node4(s333) | (~until5(s333)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s333) | node4(s333) | (~until5(s333)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28433,plain,
% 14.50/10.26 ((node4(s333) | (~until5(s333)) | xuntil6(s333)) <=> (xuntil6(s333) | node4(s333) | (~until5(s333)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28434,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s333) | (~until5(s333)) | xuntil6(s333))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s333) | node4(s333) | (~until5(s333))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28433])).
% 14.50/10.26 tff(28435,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s333) | (~until5(s333)) | xuntil6(s333))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s333) | node4(s333) | (~until5(s333)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28434, 28432])).
% 14.50/10.26 tff(28436,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s333) | (~until5(s333)) | xuntil6(s333))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28437,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s333) | node4(s333) | (~until5(s333))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28436, 28435])).
% 14.50/10.26 tff(28438,plain,
% 14.50/10.26 (xuntil6(s333) | (~until5(s333))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28437, 294, 28431])).
% 14.50/10.26 tff(28439,plain,
% 14.50/10.26 (xuntil6(s333)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28438, 28427])).
% 14.50/10.26 tff(28440,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28441,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28442,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28441, 28440])).
% 14.50/10.26 tff(28443,plain,
% 14.50/10.26 ((~xuntil6(s333)) | until5(s334)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28442, 27694, 312])).
% 14.50/10.26 tff(28444,plain,
% 14.50/10.26 (until5(s334)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28443, 28439])).
% 14.50/10.26 tff(28445,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s334) | (~node4(s334)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s334) | (~node4(s334)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28446,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s334) | (~node4(s334)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28447,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s334) | (~node4(s334))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28446, 28445])).
% 14.50/10.26 tff(28448,plain,
% 14.50/10.26 (~node4(s334)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28447, 36, 27691])).
% 14.50/10.26 tff(28449,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s334) | node4(s334) | (~until5(s334)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s334) | node4(s334) | (~until5(s334)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28450,plain,
% 14.50/10.26 ((node4(s334) | (~until5(s334)) | xuntil6(s334)) <=> (xuntil6(s334) | node4(s334) | (~until5(s334)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28451,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s334) | (~until5(s334)) | xuntil6(s334))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s334) | node4(s334) | (~until5(s334))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28450])).
% 14.50/10.26 tff(28452,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s334) | (~until5(s334)) | xuntil6(s334))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s334) | node4(s334) | (~until5(s334)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28451, 28449])).
% 14.50/10.26 tff(28453,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s334) | (~until5(s334)) | xuntil6(s334))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28454,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s334) | node4(s334) | (~until5(s334))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28453, 28452])).
% 14.50/10.26 tff(28455,plain,
% 14.50/10.26 (xuntil6(s334) | (~until5(s334))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28454, 294, 28448])).
% 14.50/10.26 tff(28456,plain,
% 14.50/10.26 (xuntil6(s334)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28455, 28444])).
% 14.50/10.26 tff(28457,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28458,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28459,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28458, 28457])).
% 14.50/10.26 tff(28460,plain,
% 14.50/10.26 ((~xuntil6(s334)) | until5(s335)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28459, 27682, 312])).
% 14.50/10.26 tff(28461,plain,
% 14.50/10.26 (until5(s335)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28460, 28456])).
% 14.50/10.26 tff(28462,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s335) | (~node4(s335)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s335) | (~node4(s335)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28463,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s335) | (~node4(s335)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28464,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s335) | (~node4(s335))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 14.50/10.26 tff(28465,plain,
% 14.50/10.26 (~node4(s335)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28464, 36, 27679])).
% 14.50/10.26 tff(28466,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s335) | node4(s335) | (~until5(s335)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s335) | node4(s335) | (~until5(s335)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28467,plain,
% 14.50/10.26 ((node4(s335) | (~until5(s335)) | xuntil6(s335)) <=> (xuntil6(s335) | node4(s335) | (~until5(s335)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28468,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s335) | (~until5(s335)) | xuntil6(s335))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s335) | node4(s335) | (~until5(s335))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28467])).
% 14.50/10.26 tff(28469,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s335) | (~until5(s335)) | xuntil6(s335))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s335) | node4(s335) | (~until5(s335)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28468, 28466])).
% 14.50/10.26 tff(28470,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s335) | (~until5(s335)) | xuntil6(s335))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28471,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s335) | node4(s335) | (~until5(s335))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28470, 28469])).
% 14.50/10.26 tff(28472,plain,
% 14.50/10.26 (xuntil6(s335) | (~until5(s335))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28471, 294, 28465])).
% 14.50/10.26 tff(28473,plain,
% 14.50/10.26 (xuntil6(s335)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28472, 28461])).
% 14.50/10.26 tff(28474,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28475,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28476,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28475, 28474])).
% 14.50/10.26 tff(28477,plain,
% 14.50/10.26 ((~xuntil6(s335)) | until5(s336)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28476, 27670, 312])).
% 14.50/10.26 tff(28478,plain,
% 14.50/10.26 (until5(s336)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28477, 28473])).
% 14.50/10.26 tff(28479,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s336) | (~node4(s336)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s336) | (~node4(s336)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28480,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s336) | (~node4(s336)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28481,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s336) | (~node4(s336))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28480, 28479])).
% 14.50/10.26 tff(28482,plain,
% 14.50/10.26 (~node4(s336)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28481, 36, 27667])).
% 14.50/10.26 tff(28483,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s336) | node4(s336) | (~until5(s336)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s336) | node4(s336) | (~until5(s336)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28484,plain,
% 14.50/10.26 ((node4(s336) | (~until5(s336)) | xuntil6(s336)) <=> (xuntil6(s336) | node4(s336) | (~until5(s336)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28485,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s336) | (~until5(s336)) | xuntil6(s336))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s336) | node4(s336) | (~until5(s336))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28484])).
% 14.50/10.26 tff(28486,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s336) | (~until5(s336)) | xuntil6(s336))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s336) | node4(s336) | (~until5(s336)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28485, 28483])).
% 14.50/10.26 tff(28487,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s336) | (~until5(s336)) | xuntil6(s336))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28488,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s336) | node4(s336) | (~until5(s336))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28487, 28486])).
% 14.50/10.26 tff(28489,plain,
% 14.50/10.26 (xuntil6(s336) | (~until5(s336))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28488, 294, 28482])).
% 14.50/10.26 tff(28490,plain,
% 14.50/10.26 (xuntil6(s336)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28489, 28478])).
% 14.50/10.26 tff(28491,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28492,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28493,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28492, 28491])).
% 14.50/10.26 tff(28494,plain,
% 14.50/10.26 ((~xuntil6(s336)) | until5(s337)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28493, 27658, 312])).
% 14.50/10.26 tff(28495,plain,
% 14.50/10.26 (until5(s337)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28494, 28490])).
% 14.50/10.26 tff(28496,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s337) | (~node4(s337)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s337) | (~node4(s337)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28497,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s337) | (~node4(s337)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28498,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s337) | (~node4(s337))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28497, 28496])).
% 14.50/10.26 tff(28499,plain,
% 14.50/10.26 (~node4(s337)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28498, 36, 27655])).
% 14.50/10.26 tff(28500,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s337) | node4(s337) | (~until5(s337)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s337) | node4(s337) | (~until5(s337)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28501,plain,
% 14.50/10.26 ((node4(s337) | (~until5(s337)) | xuntil6(s337)) <=> (xuntil6(s337) | node4(s337) | (~until5(s337)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28502,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s337) | (~until5(s337)) | xuntil6(s337))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s337) | node4(s337) | (~until5(s337))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28501])).
% 14.50/10.26 tff(28503,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s337) | (~until5(s337)) | xuntil6(s337))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s337) | node4(s337) | (~until5(s337)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28502, 28500])).
% 14.50/10.26 tff(28504,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s337) | (~until5(s337)) | xuntil6(s337))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28505,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s337) | node4(s337) | (~until5(s337))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28504, 28503])).
% 14.50/10.26 tff(28506,plain,
% 14.50/10.26 (xuntil6(s337) | (~until5(s337))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28505, 294, 28499])).
% 14.50/10.26 tff(28507,plain,
% 14.50/10.26 (xuntil6(s337)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28506, 28495])).
% 14.50/10.26 tff(28508,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s337, s338)) | (~xuntil6(s337)) | until5(s338))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s337, s338)) | (~xuntil6(s337)) | until5(s338))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28509,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s337, s338)) | (~xuntil6(s337)) | until5(s338))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28510,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s337, s338)) | (~xuntil6(s337)) | until5(s338)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28509, 28508])).
% 14.50/10.26 tff(28511,plain,
% 14.50/10.26 ((~xuntil6(s337)) | until5(s338)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28510, 27646, 312])).
% 14.50/10.26 tff(28512,plain,
% 14.50/10.26 (until5(s338)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28511, 28507])).
% 14.50/10.26 tff(28513,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s338) | (~node4(s338)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s338) | (~node4(s338)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28514,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s338) | (~node4(s338)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28515,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s338) | (~node4(s338))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28514, 28513])).
% 14.50/10.26 tff(28516,plain,
% 14.50/10.26 (~node4(s338)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28515, 36, 27643])).
% 14.50/10.26 tff(28517,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s338) | node4(s338) | (~until5(s338)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s338) | node4(s338) | (~until5(s338)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28518,plain,
% 14.50/10.26 ((node4(s338) | (~until5(s338)) | xuntil6(s338)) <=> (xuntil6(s338) | node4(s338) | (~until5(s338)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28519,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s338) | (~until5(s338)) | xuntil6(s338))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s338) | node4(s338) | (~until5(s338))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28518])).
% 14.50/10.26 tff(28520,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s338) | (~until5(s338)) | xuntil6(s338))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s338) | node4(s338) | (~until5(s338)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28519, 28517])).
% 14.50/10.26 tff(28521,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s338) | (~until5(s338)) | xuntil6(s338))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28522,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s338) | node4(s338) | (~until5(s338))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28521, 28520])).
% 14.50/10.26 tff(28523,plain,
% 14.50/10.26 (xuntil6(s338) | (~until5(s338))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28522, 294, 28516])).
% 14.50/10.26 tff(28524,plain,
% 14.50/10.26 (xuntil6(s338)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28523, 28512])).
% 14.50/10.26 tff(28525,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s338, s339)) | (~xuntil6(s338)) | until5(s339))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s338, s339)) | (~xuntil6(s338)) | until5(s339))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28526,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s338, s339)) | (~xuntil6(s338)) | until5(s339))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28527,plain,
% 14.50/10.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s338, s339)) | (~xuntil6(s338)) | until5(s339)),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28526, 28525])).
% 14.50/10.26 tff(28528,plain,
% 14.50/10.26 ((~xuntil6(s338)) | until5(s339)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28527, 27634, 312])).
% 14.50/10.26 tff(28529,plain,
% 14.50/10.26 (until5(s339)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28528, 28524])).
% 14.50/10.26 tff(28530,plain,
% 14.50/10.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s339) | (~node4(s339)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s339) | (~node4(s339)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28531,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s339) | (~node4(s339)))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28532,plain,
% 14.50/10.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s339) | (~node4(s339))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28531, 28530])).
% 14.50/10.26 tff(28533,plain,
% 14.50/10.26 (~node4(s339)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28532, 36, 27631])).
% 14.50/10.26 tff(28534,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s339) | node4(s339) | (~until5(s339)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s339) | node4(s339) | (~until5(s339)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28535,plain,
% 14.50/10.26 ((node4(s339) | (~until5(s339)) | xuntil6(s339)) <=> (xuntil6(s339) | node4(s339) | (~until5(s339)))),
% 14.50/10.26 inference(rewrite,[status(thm)],[])).
% 14.50/10.26 tff(28536,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s339) | (~until5(s339)) | xuntil6(s339))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s339) | node4(s339) | (~until5(s339))))),
% 14.50/10.26 inference(monotonicity,[status(thm)],[28535])).
% 14.50/10.26 tff(28537,plain,
% 14.50/10.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s339) | (~until5(s339)) | xuntil6(s339))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s339) | node4(s339) | (~until5(s339)))),
% 14.50/10.26 inference(transitivity,[status(thm)],[28536, 28534])).
% 14.50/10.26 tff(28538,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s339) | (~until5(s339)) | xuntil6(s339))),
% 14.50/10.26 inference(quant_inst,[status(thm)],[])).
% 14.50/10.26 tff(28539,plain,
% 14.50/10.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s339) | node4(s339) | (~until5(s339))),
% 14.50/10.26 inference(modus_ponens,[status(thm)],[28538, 28537])).
% 14.50/10.26 tff(28540,plain,
% 14.50/10.26 (xuntil6(s339) | (~until5(s339))),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28539, 294, 28533])).
% 14.50/10.26 tff(28541,plain,
% 14.50/10.26 (xuntil6(s339)),
% 14.50/10.26 inference(unit_resolution,[status(thm)],[28540, 28529])).
% 14.50/10.26 tff(28542,plain,
% 14.50/10.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28543,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28544,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28543, 28542])).
% 14.50/10.27 tff(28545,plain,
% 14.50/10.27 ((~xuntil6(s339)) | until5(s340)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28544, 27622, 312])).
% 14.50/10.27 tff(28546,plain,
% 14.50/10.27 (until5(s340)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28545, 28541])).
% 14.50/10.27 tff(28547,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s340) | (~node4(s340)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s340) | (~node4(s340)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28548,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s340) | (~node4(s340)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28549,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s340) | (~node4(s340))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28548, 28547])).
% 14.50/10.27 tff(28550,plain,
% 14.50/10.27 (~node4(s340)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28549, 36, 27619])).
% 14.50/10.27 tff(28551,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s340) | node4(s340) | (~until5(s340)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s340) | node4(s340) | (~until5(s340)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28552,plain,
% 14.50/10.27 ((node4(s340) | (~until5(s340)) | xuntil6(s340)) <=> (xuntil6(s340) | node4(s340) | (~until5(s340)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28553,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s340) | (~until5(s340)) | xuntil6(s340))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s340) | node4(s340) | (~until5(s340))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28552])).
% 14.50/10.27 tff(28554,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s340) | (~until5(s340)) | xuntil6(s340))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s340) | node4(s340) | (~until5(s340)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28553, 28551])).
% 14.50/10.27 tff(28555,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s340) | (~until5(s340)) | xuntil6(s340))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28556,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s340) | node4(s340) | (~until5(s340))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28555, 28554])).
% 14.50/10.27 tff(28557,plain,
% 14.50/10.27 (xuntil6(s340) | (~until5(s340))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28556, 294, 28550])).
% 14.50/10.27 tff(28558,plain,
% 14.50/10.27 (xuntil6(s340)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28557, 28546])).
% 14.50/10.27 tff(28559,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28560,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28561,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28560, 28559])).
% 14.50/10.27 tff(28562,plain,
% 14.50/10.27 ((~xuntil6(s340)) | until5(s341)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28561, 27610, 312])).
% 14.50/10.27 tff(28563,plain,
% 14.50/10.27 (until5(s341)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28562, 28558])).
% 14.50/10.27 tff(28564,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s341) | (~node4(s341)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s341) | (~node4(s341)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28565,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s341) | (~node4(s341)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28566,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s341) | (~node4(s341))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28565, 28564])).
% 14.50/10.27 tff(28567,plain,
% 14.50/10.27 (~node4(s341)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28566, 36, 27607])).
% 14.50/10.27 tff(28568,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s341) | node4(s341) | (~until5(s341)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s341) | node4(s341) | (~until5(s341)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28569,plain,
% 14.50/10.27 ((node4(s341) | (~until5(s341)) | xuntil6(s341)) <=> (xuntil6(s341) | node4(s341) | (~until5(s341)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28570,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s341) | (~until5(s341)) | xuntil6(s341))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s341) | node4(s341) | (~until5(s341))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28569])).
% 14.50/10.27 tff(28571,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s341) | (~until5(s341)) | xuntil6(s341))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s341) | node4(s341) | (~until5(s341)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28570, 28568])).
% 14.50/10.27 tff(28572,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s341) | (~until5(s341)) | xuntil6(s341))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28573,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s341) | node4(s341) | (~until5(s341))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28572, 28571])).
% 14.50/10.27 tff(28574,plain,
% 14.50/10.27 (xuntil6(s341) | (~until5(s341))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28573, 294, 28567])).
% 14.50/10.27 tff(28575,plain,
% 14.50/10.27 (xuntil6(s341)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28574, 28563])).
% 14.50/10.27 tff(28576,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28577,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28578,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28577, 28576])).
% 14.50/10.27 tff(28579,plain,
% 14.50/10.27 ((~xuntil6(s341)) | until5(s342)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28578, 27598, 312])).
% 14.50/10.27 tff(28580,plain,
% 14.50/10.27 (until5(s342)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28579, 28575])).
% 14.50/10.27 tff(28581,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s342) | (~node4(s342)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s342) | (~node4(s342)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28582,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s342) | (~node4(s342)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28583,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s342) | (~node4(s342))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28582, 28581])).
% 14.50/10.27 tff(28584,plain,
% 14.50/10.27 (~node4(s342)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28583, 36, 27595])).
% 14.50/10.27 tff(28585,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s342) | node4(s342) | (~until5(s342)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s342) | node4(s342) | (~until5(s342)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28586,plain,
% 14.50/10.27 ((node4(s342) | (~until5(s342)) | xuntil6(s342)) <=> (xuntil6(s342) | node4(s342) | (~until5(s342)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28587,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s342) | (~until5(s342)) | xuntil6(s342))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s342) | node4(s342) | (~until5(s342))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28586])).
% 14.50/10.27 tff(28588,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s342) | (~until5(s342)) | xuntil6(s342))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s342) | node4(s342) | (~until5(s342)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28587, 28585])).
% 14.50/10.27 tff(28589,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s342) | (~until5(s342)) | xuntil6(s342))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28590,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s342) | node4(s342) | (~until5(s342))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28589, 28588])).
% 14.50/10.27 tff(28591,plain,
% 14.50/10.27 (xuntil6(s342) | (~until5(s342))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28590, 294, 28584])).
% 14.50/10.27 tff(28592,plain,
% 14.50/10.27 (xuntil6(s342)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28591, 28580])).
% 14.50/10.27 tff(28593,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28594,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28595,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28594, 28593])).
% 14.50/10.27 tff(28596,plain,
% 14.50/10.27 ((~xuntil6(s342)) | until5(s343)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28595, 27586, 312])).
% 14.50/10.27 tff(28597,plain,
% 14.50/10.27 (until5(s343)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28596, 28592])).
% 14.50/10.27 tff(28598,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s343) | (~node4(s343)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s343) | (~node4(s343)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28599,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s343) | (~node4(s343)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28600,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s343) | (~node4(s343))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28599, 28598])).
% 14.50/10.27 tff(28601,plain,
% 14.50/10.27 (~node4(s343)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28600, 36, 27583])).
% 14.50/10.27 tff(28602,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s343) | node4(s343) | (~until5(s343)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s343) | node4(s343) | (~until5(s343)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28603,plain,
% 14.50/10.27 ((node4(s343) | (~until5(s343)) | xuntil6(s343)) <=> (xuntil6(s343) | node4(s343) | (~until5(s343)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28604,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s343) | (~until5(s343)) | xuntil6(s343))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s343) | node4(s343) | (~until5(s343))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28603])).
% 14.50/10.27 tff(28605,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s343) | (~until5(s343)) | xuntil6(s343))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s343) | node4(s343) | (~until5(s343)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28604, 28602])).
% 14.50/10.27 tff(28606,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s343) | (~until5(s343)) | xuntil6(s343))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28607,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s343) | node4(s343) | (~until5(s343))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28606, 28605])).
% 14.50/10.27 tff(28608,plain,
% 14.50/10.27 (xuntil6(s343) | (~until5(s343))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28607, 294, 28601])).
% 14.50/10.27 tff(28609,plain,
% 14.50/10.27 (xuntil6(s343)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28608, 28597])).
% 14.50/10.27 tff(28610,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28611,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28612,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28611, 28610])).
% 14.50/10.27 tff(28613,plain,
% 14.50/10.27 ((~xuntil6(s343)) | until5(s344)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28612, 27574, 312])).
% 14.50/10.27 tff(28614,plain,
% 14.50/10.27 (until5(s344)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28613, 28609])).
% 14.50/10.27 tff(28615,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s344) | (~node4(s344)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s344) | (~node4(s344)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28616,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s344) | (~node4(s344)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28617,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s344) | (~node4(s344))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28616, 28615])).
% 14.50/10.27 tff(28618,plain,
% 14.50/10.27 (~node4(s344)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28617, 36, 27571])).
% 14.50/10.27 tff(28619,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s344) | node4(s344) | (~until5(s344)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s344) | node4(s344) | (~until5(s344)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28620,plain,
% 14.50/10.27 ((node4(s344) | (~until5(s344)) | xuntil6(s344)) <=> (xuntil6(s344) | node4(s344) | (~until5(s344)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28621,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s344) | (~until5(s344)) | xuntil6(s344))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s344) | node4(s344) | (~until5(s344))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28620])).
% 14.50/10.27 tff(28622,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s344) | (~until5(s344)) | xuntil6(s344))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s344) | node4(s344) | (~until5(s344)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28621, 28619])).
% 14.50/10.27 tff(28623,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s344) | (~until5(s344)) | xuntil6(s344))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28624,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s344) | node4(s344) | (~until5(s344))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28623, 28622])).
% 14.50/10.27 tff(28625,plain,
% 14.50/10.27 (xuntil6(s344) | (~until5(s344))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28624, 294, 28618])).
% 14.50/10.27 tff(28626,plain,
% 14.50/10.27 (xuntil6(s344)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28625, 28614])).
% 14.50/10.27 tff(28627,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28628,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28629,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28628, 28627])).
% 14.50/10.27 tff(28630,plain,
% 14.50/10.27 ((~xuntil6(s344)) | until5(s345)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28629, 27562, 312])).
% 14.50/10.27 tff(28631,plain,
% 14.50/10.27 (until5(s345)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28630, 28626])).
% 14.50/10.27 tff(28632,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s345) | (~node4(s345)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s345) | (~node4(s345)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28633,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s345) | (~node4(s345)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28634,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s345) | (~node4(s345))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28633, 28632])).
% 14.50/10.27 tff(28635,plain,
% 14.50/10.27 (~node4(s345)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28634, 36, 27559])).
% 14.50/10.27 tff(28636,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s345) | node4(s345) | (~until5(s345)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s345) | node4(s345) | (~until5(s345)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28637,plain,
% 14.50/10.27 ((node4(s345) | (~until5(s345)) | xuntil6(s345)) <=> (xuntil6(s345) | node4(s345) | (~until5(s345)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28638,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s345) | (~until5(s345)) | xuntil6(s345))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s345) | node4(s345) | (~until5(s345))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28637])).
% 14.50/10.27 tff(28639,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s345) | (~until5(s345)) | xuntil6(s345))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s345) | node4(s345) | (~until5(s345)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28638, 28636])).
% 14.50/10.27 tff(28640,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s345) | (~until5(s345)) | xuntil6(s345))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28641,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s345) | node4(s345) | (~until5(s345))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28640, 28639])).
% 14.50/10.27 tff(28642,plain,
% 14.50/10.27 (xuntil6(s345) | (~until5(s345))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28641, 294, 28635])).
% 14.50/10.27 tff(28643,plain,
% 14.50/10.27 (xuntil6(s345)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28642, 28631])).
% 14.50/10.27 tff(28644,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28645,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28646,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28645, 28644])).
% 14.50/10.27 tff(28647,plain,
% 14.50/10.27 ((~xuntil6(s345)) | until5(s346)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28646, 27550, 312])).
% 14.50/10.27 tff(28648,plain,
% 14.50/10.27 (until5(s346)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28647, 28643])).
% 14.50/10.27 tff(28649,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s346) | (~node4(s346)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s346) | (~node4(s346)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28650,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s346) | (~node4(s346)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28651,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s346) | (~node4(s346))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28650, 28649])).
% 14.50/10.27 tff(28652,plain,
% 14.50/10.27 (~node4(s346)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28651, 36, 27547])).
% 14.50/10.27 tff(28653,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s346) | node4(s346) | (~until5(s346)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s346) | node4(s346) | (~until5(s346)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28654,plain,
% 14.50/10.27 ((node4(s346) | (~until5(s346)) | xuntil6(s346)) <=> (xuntil6(s346) | node4(s346) | (~until5(s346)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28655,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s346) | (~until5(s346)) | xuntil6(s346))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s346) | node4(s346) | (~until5(s346))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28654])).
% 14.50/10.27 tff(28656,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s346) | (~until5(s346)) | xuntil6(s346))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s346) | node4(s346) | (~until5(s346)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28655, 28653])).
% 14.50/10.27 tff(28657,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s346) | (~until5(s346)) | xuntil6(s346))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28658,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s346) | node4(s346) | (~until5(s346))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28657, 28656])).
% 14.50/10.27 tff(28659,plain,
% 14.50/10.27 (xuntil6(s346) | (~until5(s346))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28658, 294, 28652])).
% 14.50/10.27 tff(28660,plain,
% 14.50/10.27 (xuntil6(s346)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28659, 28648])).
% 14.50/10.27 tff(28661,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28662,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28663,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28662, 28661])).
% 14.50/10.27 tff(28664,plain,
% 14.50/10.27 ((~xuntil6(s346)) | until5(s347)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28663, 27538, 312])).
% 14.50/10.27 tff(28665,plain,
% 14.50/10.27 (until5(s347)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28664, 28660])).
% 14.50/10.27 tff(28666,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s347) | (~node4(s347)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s347) | (~node4(s347)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28667,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s347) | (~node4(s347)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28668,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s347) | (~node4(s347))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28667, 28666])).
% 14.50/10.27 tff(28669,plain,
% 14.50/10.27 (~node4(s347)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28668, 36, 27535])).
% 14.50/10.27 tff(28670,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s347) | node4(s347) | (~until5(s347)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s347) | node4(s347) | (~until5(s347)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28671,plain,
% 14.50/10.27 ((node4(s347) | (~until5(s347)) | xuntil6(s347)) <=> (xuntil6(s347) | node4(s347) | (~until5(s347)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28672,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s347) | (~until5(s347)) | xuntil6(s347))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s347) | node4(s347) | (~until5(s347))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28671])).
% 14.50/10.27 tff(28673,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s347) | (~until5(s347)) | xuntil6(s347))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s347) | node4(s347) | (~until5(s347)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28672, 28670])).
% 14.50/10.27 tff(28674,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s347) | (~until5(s347)) | xuntil6(s347))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28675,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s347) | node4(s347) | (~until5(s347))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28674, 28673])).
% 14.50/10.27 tff(28676,plain,
% 14.50/10.27 (xuntil6(s347) | (~until5(s347))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28675, 294, 28669])).
% 14.50/10.27 tff(28677,plain,
% 14.50/10.27 (xuntil6(s347)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28676, 28665])).
% 14.50/10.27 tff(28678,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28679,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28680,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28679, 28678])).
% 14.50/10.27 tff(28681,plain,
% 14.50/10.27 ((~xuntil6(s347)) | until5(s348)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28680, 27526, 312])).
% 14.50/10.27 tff(28682,plain,
% 14.50/10.27 (until5(s348)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28681, 28677])).
% 14.50/10.27 tff(28683,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s348) | (~node4(s348)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s348) | (~node4(s348)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28684,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s348) | (~node4(s348)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28685,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s348) | (~node4(s348))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28684, 28683])).
% 14.50/10.27 tff(28686,plain,
% 14.50/10.27 (~node4(s348)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28685, 36, 27523])).
% 14.50/10.27 tff(28687,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s348) | node4(s348) | (~until5(s348)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s348) | node4(s348) | (~until5(s348)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28688,plain,
% 14.50/10.27 ((node4(s348) | (~until5(s348)) | xuntil6(s348)) <=> (xuntil6(s348) | node4(s348) | (~until5(s348)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28689,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s348) | (~until5(s348)) | xuntil6(s348))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s348) | node4(s348) | (~until5(s348))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28688])).
% 14.50/10.27 tff(28690,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s348) | (~until5(s348)) | xuntil6(s348))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s348) | node4(s348) | (~until5(s348)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28689, 28687])).
% 14.50/10.27 tff(28691,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s348) | (~until5(s348)) | xuntil6(s348))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28692,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s348) | node4(s348) | (~until5(s348))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28691, 28690])).
% 14.50/10.27 tff(28693,plain,
% 14.50/10.27 (xuntil6(s348) | (~until5(s348))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28692, 294, 28686])).
% 14.50/10.27 tff(28694,plain,
% 14.50/10.27 (xuntil6(s348)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28693, 28682])).
% 14.50/10.27 tff(28695,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28696,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28697,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28696, 28695])).
% 14.50/10.27 tff(28698,plain,
% 14.50/10.27 ((~xuntil6(s348)) | until5(s349)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28697, 27514, 312])).
% 14.50/10.27 tff(28699,plain,
% 14.50/10.27 (until5(s349)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28698, 28694])).
% 14.50/10.27 tff(28700,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s349) | (~node4(s349)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s349) | (~node4(s349)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28701,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s349) | (~node4(s349)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28702,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s349) | (~node4(s349))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28701, 28700])).
% 14.50/10.27 tff(28703,plain,
% 14.50/10.27 (~node4(s349)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28702, 36, 27511])).
% 14.50/10.27 tff(28704,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s349) | node4(s349) | (~until5(s349)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s349) | node4(s349) | (~until5(s349)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28705,plain,
% 14.50/10.27 ((node4(s349) | (~until5(s349)) | xuntil6(s349)) <=> (xuntil6(s349) | node4(s349) | (~until5(s349)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28706,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s349) | (~until5(s349)) | xuntil6(s349))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s349) | node4(s349) | (~until5(s349))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28705])).
% 14.50/10.27 tff(28707,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s349) | (~until5(s349)) | xuntil6(s349))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s349) | node4(s349) | (~until5(s349)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28706, 28704])).
% 14.50/10.27 tff(28708,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s349) | (~until5(s349)) | xuntil6(s349))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28709,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s349) | node4(s349) | (~until5(s349))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28708, 28707])).
% 14.50/10.27 tff(28710,plain,
% 14.50/10.27 (xuntil6(s349) | (~until5(s349))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28709, 294, 28703])).
% 14.50/10.27 tff(28711,plain,
% 14.50/10.27 (xuntil6(s349)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28710, 28699])).
% 14.50/10.27 tff(28712,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s349, s350)) | (~xuntil6(s349)) | until5(s350))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s349, s350)) | (~xuntil6(s349)) | until5(s350))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28713,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s349, s350)) | (~xuntil6(s349)) | until5(s350))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28714,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s349, s350)) | (~xuntil6(s349)) | until5(s350)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28713, 28712])).
% 14.50/10.27 tff(28715,plain,
% 14.50/10.27 ((~xuntil6(s349)) | until5(s350)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28714, 27502, 312])).
% 14.50/10.27 tff(28716,plain,
% 14.50/10.27 (until5(s350)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28715, 28711])).
% 14.50/10.27 tff(28717,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s350) | (~node4(s350)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s350) | (~node4(s350)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28718,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s350) | (~node4(s350)))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28719,plain,
% 14.50/10.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s350) | (~node4(s350))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28718, 28717])).
% 14.50/10.27 tff(28720,plain,
% 14.50/10.27 (~node4(s350)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28719, 36, 27499])).
% 14.50/10.27 tff(28721,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s350) | node4(s350) | (~until5(s350)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s350) | node4(s350) | (~until5(s350)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28722,plain,
% 14.50/10.27 ((node4(s350) | (~until5(s350)) | xuntil6(s350)) <=> (xuntil6(s350) | node4(s350) | (~until5(s350)))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28723,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s350) | (~until5(s350)) | xuntil6(s350))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s350) | node4(s350) | (~until5(s350))))),
% 14.50/10.27 inference(monotonicity,[status(thm)],[28722])).
% 14.50/10.27 tff(28724,plain,
% 14.50/10.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s350) | (~until5(s350)) | xuntil6(s350))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s350) | node4(s350) | (~until5(s350)))),
% 14.50/10.27 inference(transitivity,[status(thm)],[28723, 28721])).
% 14.50/10.27 tff(28725,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s350) | (~until5(s350)) | xuntil6(s350))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28726,plain,
% 14.50/10.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s350) | node4(s350) | (~until5(s350))),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28725, 28724])).
% 14.50/10.27 tff(28727,plain,
% 14.50/10.27 (xuntil6(s350) | (~until5(s350))),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28726, 294, 28720])).
% 14.50/10.27 tff(28728,plain,
% 14.50/10.27 (xuntil6(s350)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28727, 28716])).
% 14.50/10.27 tff(28729,plain,
% 14.50/10.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s350, s351)) | (~xuntil6(s350)) | until5(s351))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s350, s351)) | (~xuntil6(s350)) | until5(s351))),
% 14.50/10.27 inference(rewrite,[status(thm)],[])).
% 14.50/10.27 tff(28730,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s350, s351)) | (~xuntil6(s350)) | until5(s351))),
% 14.50/10.27 inference(quant_inst,[status(thm)],[])).
% 14.50/10.27 tff(28731,plain,
% 14.50/10.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s350, s351)) | (~xuntil6(s350)) | until5(s351)),
% 14.50/10.27 inference(modus_ponens,[status(thm)],[28730, 28729])).
% 14.50/10.27 tff(28732,plain,
% 14.50/10.27 ((~xuntil6(s350)) | until5(s351)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28731, 27490, 312])).
% 14.50/10.27 tff(28733,plain,
% 14.50/10.27 (until5(s351)),
% 14.50/10.27 inference(unit_resolution,[status(thm)],[28732, 28728])).
% 14.50/10.27 tff(28734,plain,
% 14.50/10.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s351) | (~node4(s351)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s351) | (~node4(s351)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28735,plain,
% 14.50/10.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s351) | (~node4(s351)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28736,plain,
% 14.50/10.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s351) | (~node4(s351))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28735, 28734])).
% 14.50/10.28 tff(28737,plain,
% 14.50/10.28 (~node4(s351)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28736, 36, 27487])).
% 14.50/10.28 tff(28738,plain,
% 14.50/10.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s351) | node4(s351) | (~until5(s351)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s351) | node4(s351) | (~until5(s351)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28739,plain,
% 14.50/10.28 ((node4(s351) | (~until5(s351)) | xuntil6(s351)) <=> (xuntil6(s351) | node4(s351) | (~until5(s351)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28740,plain,
% 14.50/10.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s351) | (~until5(s351)) | xuntil6(s351))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s351) | node4(s351) | (~until5(s351))))),
% 14.50/10.28 inference(monotonicity,[status(thm)],[28739])).
% 14.50/10.28 tff(28741,plain,
% 14.50/10.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s351) | (~until5(s351)) | xuntil6(s351))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s351) | node4(s351) | (~until5(s351)))),
% 14.50/10.28 inference(transitivity,[status(thm)],[28740, 28738])).
% 14.50/10.28 tff(28742,plain,
% 14.50/10.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s351) | (~until5(s351)) | xuntil6(s351))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28743,plain,
% 14.50/10.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s351) | node4(s351) | (~until5(s351))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28742, 28741])).
% 14.50/10.28 tff(28744,plain,
% 14.50/10.28 (xuntil6(s351) | (~until5(s351))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28743, 294, 28737])).
% 14.50/10.28 tff(28745,plain,
% 14.50/10.28 (xuntil6(s351)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28744, 28733])).
% 14.50/10.28 tff(28746,plain,
% 14.50/10.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s351, s352)) | (~xuntil6(s351)) | until5(s352))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s351, s352)) | (~xuntil6(s351)) | until5(s352))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28747,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s351, s352)) | (~xuntil6(s351)) | until5(s352))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28748,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s351, s352)) | (~xuntil6(s351)) | until5(s352)),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28747, 28746])).
% 14.50/10.28 tff(28749,plain,
% 14.50/10.28 ((~xuntil6(s351)) | until5(s352)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28748, 27478, 312])).
% 14.50/10.28 tff(28750,plain,
% 14.50/10.28 (until5(s352)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28749, 28745])).
% 14.50/10.28 tff(28751,plain,
% 14.50/10.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s352) | (~node4(s352)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s352) | (~node4(s352)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28752,plain,
% 14.50/10.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s352) | (~node4(s352)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28753,plain,
% 14.50/10.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s352) | (~node4(s352))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28752, 28751])).
% 14.50/10.28 tff(28754,plain,
% 14.50/10.28 (~node4(s352)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28753, 36, 27475])).
% 14.50/10.28 tff(28755,plain,
% 14.50/10.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s352) | node4(s352) | (~until5(s352)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s352) | node4(s352) | (~until5(s352)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28756,plain,
% 14.50/10.28 ((node4(s352) | (~until5(s352)) | xuntil6(s352)) <=> (xuntil6(s352) | node4(s352) | (~until5(s352)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28757,plain,
% 14.50/10.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s352) | (~until5(s352)) | xuntil6(s352))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s352) | node4(s352) | (~until5(s352))))),
% 14.50/10.28 inference(monotonicity,[status(thm)],[28756])).
% 14.50/10.28 tff(28758,plain,
% 14.50/10.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s352) | (~until5(s352)) | xuntil6(s352))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s352) | node4(s352) | (~until5(s352)))),
% 14.50/10.28 inference(transitivity,[status(thm)],[28757, 28755])).
% 14.50/10.28 tff(28759,plain,
% 14.50/10.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s352) | (~until5(s352)) | xuntil6(s352))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28760,plain,
% 14.50/10.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s352) | node4(s352) | (~until5(s352))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28759, 28758])).
% 14.50/10.28 tff(28761,plain,
% 14.50/10.28 (xuntil6(s352) | (~until5(s352))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28760, 294, 28754])).
% 14.50/10.28 tff(28762,plain,
% 14.50/10.28 ($false),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28761, 28750, 27466])).
% 14.50/10.28 tff(28763,plain,(always3(s396) | (~until5(s308)) | xuntil6(s396)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.28 tff(28764,plain,
% 14.50/10.28 (always3(s396)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28763, 28, 26199])).
% 14.50/10.28 tff(28765,plain,
% 14.50/10.28 (succ(s396, s397) <=> succ(s396, s397)),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28766,axiom,(succ(s396, s397)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound397')).
% 14.50/10.28 tff(28767,plain,
% 14.50/10.28 (succ(s396, s397)),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28766, 28765])).
% 14.50/10.28 tff(28768,plain,
% 14.50/10.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s396, s397)) | trans(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s396, s397)) | trans(s396, s397))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28769,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s396, s397)) | trans(s396, s397))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28770,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s396, s397)) | trans(s396, s397)),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28769, 28768])).
% 14.50/10.28 tff(28771,plain,
% 14.50/10.28 (trans(s396, s397)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28770, 28767, 52])).
% 14.50/10.28 tff(28772,plain,
% 14.50/10.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s396, s397)) | (~always3(s396)) | always3(s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s396, s397)) | (~always3(s396)) | always3(s397))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28773,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s396, s397)) | (~always3(s396)) | always3(s397))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28774,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s396, s397)) | (~always3(s396)) | always3(s397)),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28773, 28772])).
% 14.50/10.28 tff(28775,plain,
% 14.50/10.28 ((~always3(s396)) | always3(s397)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28774, 125, 28771])).
% 14.50/10.28 tff(28776,plain,
% 14.50/10.28 (always3(s397)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28775, 28764])).
% 14.50/10.28 tff(28777,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s397)) | (~m_main_v_state(s397, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s397)) | (~m_main_v_state(s397, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28778,plain,
% 14.50/10.28 (((~m_main_v_state(s397, c_busy)) | (~always3(s397))) <=> ((~always3(s397)) | (~m_main_v_state(s397, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28779,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s397, c_busy)) | (~always3(s397)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s397)) | (~m_main_v_state(s397, c_busy))))),
% 14.50/10.28 inference(monotonicity,[status(thm)],[28778])).
% 14.50/10.28 tff(28780,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s397, c_busy)) | (~always3(s397)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s397)) | (~m_main_v_state(s397, c_busy)))),
% 14.50/10.28 inference(transitivity,[status(thm)],[28779, 28777])).
% 14.50/10.28 tff(28781,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s397, c_busy)) | (~always3(s397)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28782,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s397)) | (~m_main_v_state(s397, c_busy))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28781, 28780])).
% 14.50/10.28 tff(28783,plain,
% 14.50/10.28 (~m_main_v_state(s397, c_busy)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28782, 85, 28776])).
% 14.50/10.28 tff(28784,assumption,(until5(s396)), introduced(assumption)).
% 14.50/10.28 tff(28785,plain,
% 14.50/10.28 (xuntil6(s396) | node4(s396)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[26226, 294, 28784])).
% 14.50/10.28 tff(28786,plain,
% 14.50/10.28 (node4(s396)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28785, 28])).
% 14.50/10.28 tff(28787,plain,
% 14.50/10.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s396) | (~node4(s396)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s396) | (~node4(s396)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28788,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s396) | (~node4(s396)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28789,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s396) | (~node4(s396))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28788, 28787])).
% 14.50/10.28 tff(28790,plain,
% 14.50/10.28 (m_main_v_request(s396)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28789, 21, 28786])).
% 14.50/10.28 tff(28791,plain,
% 14.50/10.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s396, s397)) | node2(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s396, s397)) | node2(s396, s397))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28792,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s396, s397)) | node2(s396, s397))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28793,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s396, s397)) | node2(s396, s397)),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28792, 28791])).
% 14.50/10.28 tff(28794,plain,
% 14.50/10.28 (node2(s396, s397)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28793, 7, 28771])).
% 14.50/10.28 tff(28795,plain,
% 14.50/10.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s396, c_ready)) | (~node2(s396, s397)) | m_main_v_state(s397, c_busy) | (~m_main_v_request(s396)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s396, c_ready)) | (~node2(s396, s397)) | m_main_v_state(s397, c_busy) | (~m_main_v_request(s396)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28796,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s396, c_ready)) | (~node2(s396, s397)) | m_main_v_state(s397, c_busy) | (~m_main_v_request(s396)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28797,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s396, c_ready)) | (~node2(s396, s397)) | m_main_v_state(s397, c_busy) | (~m_main_v_request(s396))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28796, 28795])).
% 14.50/10.28 tff(28798,plain,
% 14.50/10.28 ((~m_main_v_state(s396, c_ready)) | m_main_v_state(s397, c_busy) | (~m_main_v_request(s396))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28797, 73, 28794])).
% 14.50/10.28 tff(28799,plain,
% 14.50/10.28 (~m_main_v_state(s396, c_ready)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28798, 28790, 28783])).
% 14.50/10.28 tff(28800,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s396)) | (~m_main_v_state(s396, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s396)) | (~m_main_v_state(s396, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28801,plain,
% 14.50/10.28 (((~m_main_v_state(s396, c_busy)) | (~always3(s396))) <=> ((~always3(s396)) | (~m_main_v_state(s396, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28802,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s396, c_busy)) | (~always3(s396)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s396)) | (~m_main_v_state(s396, c_busy))))),
% 14.50/10.28 inference(monotonicity,[status(thm)],[28801])).
% 14.50/10.28 tff(28803,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s396, c_busy)) | (~always3(s396)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s396)) | (~m_main_v_state(s396, c_busy)))),
% 14.50/10.28 inference(transitivity,[status(thm)],[28802, 28800])).
% 14.50/10.28 tff(28804,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s396, c_busy)) | (~always3(s396)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28805,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s396)) | (~m_main_v_state(s396, c_busy))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28804, 28803])).
% 14.50/10.28 tff(28806,plain,
% 14.50/10.28 (~m_main_v_state(s396, c_busy)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28805, 85, 28764])).
% 14.50/10.28 tff(28807,plain,
% 14.50/10.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s396, c_busy) | m_main_v_state(s396, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s396, c_busy) | m_main_v_state(s396, c_ready))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28808,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s396, c_busy) | m_main_v_state(s396, c_ready))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28809,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s396, c_busy) | m_main_v_state(s396, c_ready)),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28808, 28807])).
% 14.50/10.28 tff(28810,plain,
% 14.50/10.28 ($false),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28809, 102, 28806, 28799])).
% 14.50/10.28 tff(28811,plain,(xuntil6(s396) | (~until5(s396)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.50/10.28 tff(28812,plain,
% 14.50/10.28 (xuntil6(s396) | (~until5(s396))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28811, 26198])).
% 14.50/10.28 tff(28813,plain,
% 14.50/10.28 (~until5(s396)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28812, 28])).
% 14.50/10.28 tff(28814,plain,
% 14.50/10.28 (~xuntil6(s395)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[26232, 28813])).
% 14.50/10.28 tff(28815,assumption,(~xuntil6(s394)), introduced(assumption)).
% 14.50/10.28 tff(28816,assumption,(~always3(s366)), introduced(assumption)).
% 14.50/10.28 tff(28817,plain,
% 14.50/10.28 (~always3(s365)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27097, 28816])).
% 14.50/10.28 tff(28818,plain,
% 14.50/10.28 (~always3(s364)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27126, 28817])).
% 14.50/10.28 tff(28819,plain,
% 14.50/10.28 (~always3(s363)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27155, 28818])).
% 14.50/10.28 tff(28820,plain,
% 14.50/10.28 (~always3(s362)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27184, 28819])).
% 14.50/10.28 tff(28821,plain,
% 14.50/10.28 (~always3(s361)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27213, 28820])).
% 14.50/10.28 tff(28822,plain,
% 14.50/10.28 (~always3(s360)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27242, 28821])).
% 14.50/10.28 tff(28823,plain,
% 14.50/10.28 (~always3(s359)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27271, 28822])).
% 14.50/10.28 tff(28824,plain,
% 14.50/10.28 (~always3(s358)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27300, 28823])).
% 14.50/10.28 tff(28825,plain,
% 14.50/10.28 (~always3(s357)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27329, 28824])).
% 14.50/10.28 tff(28826,plain,
% 14.50/10.28 (~always3(s356)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27358, 28825])).
% 14.50/10.28 tff(28827,plain,
% 14.50/10.28 (~always3(s355)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27387, 28826])).
% 14.50/10.28 tff(28828,plain,
% 14.50/10.28 (~always3(s354)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27416, 28827])).
% 14.50/10.28 tff(28829,plain,
% 14.50/10.28 (~always3(s353)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27445, 28828])).
% 14.50/10.28 tff(28830,plain,
% 14.50/10.28 (~always3(s352)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27474, 28829])).
% 14.50/10.28 tff(28831,plain,
% 14.50/10.28 (~always3(s351)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27486, 28830])).
% 14.50/10.28 tff(28832,plain,
% 14.50/10.28 (~always3(s350)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27498, 28831])).
% 14.50/10.28 tff(28833,plain,
% 14.50/10.28 (~always3(s349)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27510, 28832])).
% 14.50/10.28 tff(28834,plain,
% 14.50/10.28 (~always3(s348)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27522, 28833])).
% 14.50/10.28 tff(28835,plain,
% 14.50/10.28 (~always3(s347)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27534, 28834])).
% 14.50/10.28 tff(28836,plain,
% 14.50/10.28 (~always3(s346)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27546, 28835])).
% 14.50/10.28 tff(28837,plain,
% 14.50/10.28 (~always3(s345)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27558, 28836])).
% 14.50/10.28 tff(28838,plain,
% 14.50/10.28 (~always3(s344)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27570, 28837])).
% 14.50/10.28 tff(28839,plain,
% 14.50/10.28 (~always3(s343)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27582, 28838])).
% 14.50/10.28 tff(28840,plain,
% 14.50/10.28 (~always3(s342)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27594, 28839])).
% 14.50/10.28 tff(28841,plain,
% 14.50/10.28 (~always3(s341)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27606, 28840])).
% 14.50/10.28 tff(28842,plain,
% 14.50/10.28 (~always3(s340)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27618, 28841])).
% 14.50/10.28 tff(28843,plain,
% 14.50/10.28 (~always3(s339)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27630, 28842])).
% 14.50/10.28 tff(28844,plain,
% 14.50/10.28 (~always3(s338)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27642, 28843])).
% 14.50/10.28 tff(28845,plain,
% 14.50/10.28 (~always3(s337)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27654, 28844])).
% 14.50/10.28 tff(28846,plain,
% 14.50/10.28 (~always3(s336)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27666, 28845])).
% 14.50/10.28 tff(28847,plain,
% 14.50/10.28 (~always3(s335)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27678, 28846])).
% 14.50/10.28 tff(28848,plain,
% 14.50/10.28 (~always3(s334)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27690, 28847])).
% 14.50/10.28 tff(28849,plain,
% 14.50/10.28 (~always3(s333)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27702, 28848])).
% 14.50/10.28 tff(28850,plain,
% 14.50/10.28 (~always3(s332)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27714, 28849])).
% 14.50/10.28 tff(28851,plain,
% 14.50/10.28 (~always3(s331)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27726, 28850])).
% 14.50/10.28 tff(28852,plain,
% 14.50/10.28 (~always3(s330)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27738, 28851])).
% 14.50/10.28 tff(28853,plain,
% 14.50/10.28 (~always3(s329)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27750, 28852])).
% 14.50/10.28 tff(28854,plain,
% 14.50/10.28 (~always3(s328)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27762, 28853])).
% 14.50/10.28 tff(28855,plain,
% 14.50/10.28 (~always3(s327)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27774, 28854])).
% 14.50/10.28 tff(28856,plain,
% 14.50/10.28 (~always3(s326)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27786, 28855])).
% 14.50/10.28 tff(28857,plain,
% 14.50/10.28 (~always3(s325)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27798, 28856])).
% 14.50/10.28 tff(28858,plain,
% 14.50/10.28 (~always3(s324)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27810, 28857])).
% 14.50/10.28 tff(28859,plain,
% 14.50/10.28 (~always3(s323)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27822, 28858])).
% 14.50/10.28 tff(28860,plain,
% 14.50/10.28 (~always3(s322)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27834, 28859])).
% 14.50/10.28 tff(28861,plain,
% 14.50/10.28 (~always3(s321)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27846, 28860])).
% 14.50/10.28 tff(28862,plain,
% 14.50/10.28 (~always3(s320)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27858, 28861])).
% 14.50/10.28 tff(28863,plain,
% 14.50/10.28 (~always3(s319)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27870, 28862])).
% 14.50/10.28 tff(28864,plain,
% 14.50/10.28 (~always3(s318)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27882, 28863])).
% 14.50/10.28 tff(28865,plain,
% 14.50/10.28 (~always3(s317)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27894, 28864])).
% 14.50/10.28 tff(28866,plain,
% 14.50/10.28 (~always3(s316)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27906, 28865])).
% 14.50/10.28 tff(28867,plain,
% 14.50/10.28 (~always3(s315)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27918, 28866])).
% 14.50/10.28 tff(28868,plain,
% 14.50/10.28 (~always3(s314)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27930, 28867])).
% 14.50/10.28 tff(28869,plain,
% 14.50/10.28 (~always3(s313)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27942, 28868])).
% 14.50/10.28 tff(28870,plain,
% 14.50/10.28 (~always3(s312)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27954, 28869])).
% 14.50/10.28 tff(28871,plain,
% 14.50/10.28 (~always3(s311)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27966, 28870])).
% 14.50/10.28 tff(28872,plain,
% 14.50/10.28 (~always3(s310)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27978, 28871])).
% 14.50/10.28 tff(28873,plain,
% 14.50/10.28 (~always3(s309)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27990, 28872])).
% 14.50/10.28 tff(28874,plain,
% 14.50/10.28 (~always3(s308)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28006, 28873])).
% 14.50/10.28 tff(28875,plain,
% 14.50/10.28 (~always3(s307)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[26183, 28874])).
% 14.50/10.28 tff(28876,plain,
% 14.50/10.28 (xuntil6(s307)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[26083, 28875])).
% 14.50/10.28 tff(28877,plain,
% 14.50/10.28 (until5(s308)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[26197, 28876])).
% 14.50/10.28 tff(28878,assumption,(~node4(s393)), introduced(assumption)).
% 14.50/10.28 tff(28879,plain,
% 14.50/10.28 (~node4(s308)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28010, 36, 28874])).
% 14.50/10.28 tff(28880,plain,
% 14.50/10.28 (xuntil6(s308) | node4(s308)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28017, 294, 28877])).
% 14.50/10.28 tff(28881,plain,
% 14.50/10.28 (xuntil6(s308)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28880, 28879])).
% 14.50/10.28 tff(28882,plain,
% 14.50/10.28 (until5(s309)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28023, 28881])).
% 14.50/10.28 tff(28883,assumption,(node4(s309)), introduced(assumption)).
% 14.50/10.28 tff(28884,plain,
% 14.50/10.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s309) | (~node4(s309)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s309) | (~node4(s309)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28885,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s309) | (~node4(s309)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28886,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s309) | (~node4(s309))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28885, 28884])).
% 14.50/10.28 tff(28887,plain,
% 14.50/10.28 (m_main_v_request(s309)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28886, 21, 28883])).
% 14.50/10.28 tff(28888,plain,
% 14.50/10.28 (always3(s309)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27994, 36, 28883])).
% 14.50/10.28 tff(28889,plain,
% 14.50/10.28 (always3(s310)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27990, 28888])).
% 14.50/10.28 tff(28890,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s310)) | (~m_main_v_state(s310, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s310)) | (~m_main_v_state(s310, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28891,plain,
% 14.50/10.28 (((~m_main_v_state(s310, c_busy)) | (~always3(s310))) <=> ((~always3(s310)) | (~m_main_v_state(s310, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28892,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s310, c_busy)) | (~always3(s310)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s310)) | (~m_main_v_state(s310, c_busy))))),
% 14.50/10.28 inference(monotonicity,[status(thm)],[28891])).
% 14.50/10.28 tff(28893,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s310, c_busy)) | (~always3(s310)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s310)) | (~m_main_v_state(s310, c_busy)))),
% 14.50/10.28 inference(transitivity,[status(thm)],[28892, 28890])).
% 14.50/10.28 tff(28894,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s310, c_busy)) | (~always3(s310)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28895,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s310)) | (~m_main_v_state(s310, c_busy))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28894, 28893])).
% 14.50/10.28 tff(28896,plain,
% 14.50/10.28 (~m_main_v_state(s310, c_busy)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28895, 85, 28889])).
% 14.50/10.28 tff(28897,plain,
% 14.50/10.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s309, s310)) | node2(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s309, s310)) | node2(s309, s310))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28898,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s309, s310)) | node2(s309, s310))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28899,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s309, s310)) | node2(s309, s310)),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 14.50/10.28 tff(28900,plain,
% 14.50/10.28 (node2(s309, s310)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28899, 7, 27986])).
% 14.50/10.28 tff(28901,plain,
% 14.50/10.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s309, c_ready)) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s309, c_ready)) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28902,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s309, c_ready)) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28903,plain,
% 14.50/10.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s309, c_ready)) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28902, 28901])).
% 14.50/10.28 tff(28904,plain,
% 14.50/10.28 ((~m_main_v_state(s309, c_ready)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28903, 73, 28900])).
% 14.50/10.28 tff(28905,plain,
% 14.50/10.28 (~m_main_v_state(s309, c_ready)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28904, 28896, 28887])).
% 14.50/10.28 tff(28906,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s309)) | (~m_main_v_state(s309, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s309)) | (~m_main_v_state(s309, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28907,plain,
% 14.50/10.28 (((~m_main_v_state(s309, c_busy)) | (~always3(s309))) <=> ((~always3(s309)) | (~m_main_v_state(s309, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28908,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s309, c_busy)) | (~always3(s309)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s309)) | (~m_main_v_state(s309, c_busy))))),
% 14.50/10.28 inference(monotonicity,[status(thm)],[28907])).
% 14.50/10.28 tff(28909,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s309, c_busy)) | (~always3(s309)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s309)) | (~m_main_v_state(s309, c_busy)))),
% 14.50/10.28 inference(transitivity,[status(thm)],[28908, 28906])).
% 14.50/10.28 tff(28910,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s309, c_busy)) | (~always3(s309)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28911,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s309)) | (~m_main_v_state(s309, c_busy))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28910, 28909])).
% 14.50/10.28 tff(28912,plain,
% 14.50/10.28 (~m_main_v_state(s309, c_busy)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28911, 85, 28888])).
% 14.50/10.28 tff(28913,plain,
% 14.50/10.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s309, c_busy) | m_main_v_state(s309, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s309, c_busy) | m_main_v_state(s309, c_ready))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28914,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s309, c_busy) | m_main_v_state(s309, c_ready))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28915,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s309, c_busy) | m_main_v_state(s309, c_ready)),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28914, 28913])).
% 14.50/10.28 tff(28916,plain,
% 14.50/10.28 ($false),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28915, 102, 28912, 28905])).
% 14.50/10.28 tff(28917,plain,(~node4(s309)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.28 tff(28918,plain,
% 14.50/10.28 (xuntil6(s309) | (~until5(s309))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28030, 294, 28917])).
% 14.50/10.28 tff(28919,plain,
% 14.50/10.28 (xuntil6(s309)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28918, 28882])).
% 14.50/10.28 tff(28920,plain,
% 14.50/10.28 (until5(s310)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28035, 28919])).
% 14.50/10.28 tff(28921,plain,
% 14.50/10.28 (~node4(s365)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27101, 36, 28817])).
% 14.50/10.28 tff(28922,plain,
% 14.50/10.28 (~node4(s366)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27072, 36, 28816])).
% 14.50/10.28 tff(28923,assumption,(~xuntil6(s366)), introduced(assumption)).
% 14.50/10.28 tff(28924,plain,
% 14.50/10.28 (node4(s366) | (~until5(s366))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27079, 294, 28923])).
% 14.50/10.28 tff(28925,plain,
% 14.50/10.28 (~until5(s366)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28924, 28922])).
% 14.50/10.28 tff(28926,plain,
% 14.50/10.28 (~xuntil6(s365)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27088, 28925])).
% 14.50/10.28 tff(28927,plain,
% 14.50/10.28 (~until5(s365)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27108, 294, 28926, 28921])).
% 14.50/10.28 tff(28928,plain,
% 14.50/10.28 (~xuntil6(s364)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27117, 28927])).
% 14.50/10.28 tff(28929,plain,
% 14.50/10.28 (~node4(s364)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27130, 36, 28818])).
% 14.50/10.28 tff(28930,plain,
% 14.50/10.28 (xuntil6(s364) | (~until5(s364))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27137, 294, 28929])).
% 14.50/10.28 tff(28931,plain,
% 14.50/10.28 (~until5(s364)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28930, 28928])).
% 14.50/10.28 tff(28932,plain,
% 14.50/10.28 (~xuntil6(s363)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27146, 28931])).
% 14.50/10.28 tff(28933,plain,
% 14.50/10.28 (~node4(s363)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27159, 36, 28819])).
% 14.50/10.28 tff(28934,plain,
% 14.50/10.28 (xuntil6(s363) | (~until5(s363))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27166, 294, 28933])).
% 14.50/10.28 tff(28935,plain,
% 14.50/10.28 (~until5(s363)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28934, 28932])).
% 14.50/10.28 tff(28936,plain,
% 14.50/10.28 (~xuntil6(s362)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27175, 28935])).
% 14.50/10.28 tff(28937,plain,
% 14.50/10.28 (~node4(s362)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27188, 36, 28820])).
% 14.50/10.28 tff(28938,plain,
% 14.50/10.28 (xuntil6(s362) | (~until5(s362))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27195, 294, 28937])).
% 14.50/10.28 tff(28939,plain,
% 14.50/10.28 (~until5(s362)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28938, 28936])).
% 14.50/10.28 tff(28940,plain,
% 14.50/10.28 (~xuntil6(s361)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27204, 28939])).
% 14.50/10.28 tff(28941,plain,
% 14.50/10.28 (~node4(s361)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27217, 36, 28821])).
% 14.50/10.28 tff(28942,plain,
% 14.50/10.28 (xuntil6(s361) | (~until5(s361))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27224, 294, 28941])).
% 14.50/10.28 tff(28943,plain,
% 14.50/10.28 (~until5(s361)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28942, 28940])).
% 14.50/10.28 tff(28944,plain,
% 14.50/10.28 (~xuntil6(s360)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27233, 28943])).
% 14.50/10.28 tff(28945,plain,
% 14.50/10.28 (~node4(s360)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27246, 36, 28822])).
% 14.50/10.28 tff(28946,plain,
% 14.50/10.28 (xuntil6(s360) | (~until5(s360))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27253, 294, 28945])).
% 14.50/10.28 tff(28947,plain,
% 14.50/10.28 (~until5(s360)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28946, 28944])).
% 14.50/10.28 tff(28948,plain,
% 14.50/10.28 (~xuntil6(s359)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27262, 28947])).
% 14.50/10.28 tff(28949,plain,
% 14.50/10.28 (~node4(s359)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27275, 36, 28823])).
% 14.50/10.28 tff(28950,plain,
% 14.50/10.28 (xuntil6(s359) | (~until5(s359))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27282, 294, 28949])).
% 14.50/10.28 tff(28951,plain,
% 14.50/10.28 (~until5(s359)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28950, 28948])).
% 14.50/10.28 tff(28952,plain,
% 14.50/10.28 (~xuntil6(s358)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27291, 28951])).
% 14.50/10.28 tff(28953,plain,
% 14.50/10.28 (~node4(s358)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27304, 36, 28824])).
% 14.50/10.28 tff(28954,plain,
% 14.50/10.28 (xuntil6(s358) | (~until5(s358))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27311, 294, 28953])).
% 14.50/10.28 tff(28955,plain,
% 14.50/10.28 (~until5(s358)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28954, 28952])).
% 14.50/10.28 tff(28956,plain,
% 14.50/10.28 (~xuntil6(s357)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27320, 28955])).
% 14.50/10.28 tff(28957,plain,
% 14.50/10.28 (~node4(s357)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27333, 36, 28825])).
% 14.50/10.28 tff(28958,plain,
% 14.50/10.28 (xuntil6(s357) | (~until5(s357))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27340, 294, 28957])).
% 14.50/10.28 tff(28959,plain,
% 14.50/10.28 (~until5(s357)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28958, 28956])).
% 14.50/10.28 tff(28960,plain,
% 14.50/10.28 (~xuntil6(s356)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27349, 28959])).
% 14.50/10.28 tff(28961,plain,
% 14.50/10.28 (~node4(s356)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27362, 36, 28826])).
% 14.50/10.28 tff(28962,plain,
% 14.50/10.28 (xuntil6(s356) | (~until5(s356))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27369, 294, 28961])).
% 14.50/10.28 tff(28963,plain,
% 14.50/10.28 (~until5(s356)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28962, 28960])).
% 14.50/10.28 tff(28964,plain,
% 14.50/10.28 (~xuntil6(s355)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27378, 28963])).
% 14.50/10.28 tff(28965,plain,
% 14.50/10.28 (~node4(s355)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27391, 36, 28827])).
% 14.50/10.28 tff(28966,plain,
% 14.50/10.28 (xuntil6(s355) | (~until5(s355))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27398, 294, 28965])).
% 14.50/10.28 tff(28967,plain,
% 14.50/10.28 (~until5(s355)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28966, 28964])).
% 14.50/10.28 tff(28968,plain,
% 14.50/10.28 (~xuntil6(s354)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27407, 28967])).
% 14.50/10.28 tff(28969,plain,
% 14.50/10.28 (~node4(s354)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27420, 36, 28828])).
% 14.50/10.28 tff(28970,plain,
% 14.50/10.28 (xuntil6(s354) | (~until5(s354))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27427, 294, 28969])).
% 14.50/10.28 tff(28971,plain,
% 14.50/10.28 (~until5(s354)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28970, 28968])).
% 14.50/10.28 tff(28972,plain,
% 14.50/10.28 (~xuntil6(s353)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27436, 28971])).
% 14.50/10.28 tff(28973,plain,
% 14.50/10.28 (~node4(s353)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27449, 36, 28829])).
% 14.50/10.28 tff(28974,plain,
% 14.50/10.28 (xuntil6(s353) | (~until5(s353))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27456, 294, 28973])).
% 14.50/10.28 tff(28975,plain,
% 14.50/10.28 (~until5(s353)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28974, 28972])).
% 14.50/10.28 tff(28976,plain,
% 14.50/10.28 (~xuntil6(s352)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27465, 28975])).
% 14.50/10.28 tff(28977,plain,
% 14.50/10.28 (~node4(s352)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28753, 36, 28830])).
% 14.50/10.28 tff(28978,plain,
% 14.50/10.28 (xuntil6(s352) | (~until5(s352))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28760, 294, 28977])).
% 14.50/10.28 tff(28979,plain,
% 14.50/10.28 (~until5(s352)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28978, 28976])).
% 14.50/10.28 tff(28980,plain,
% 14.50/10.28 (~xuntil6(s351)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28749, 28979])).
% 14.50/10.28 tff(28981,plain,
% 14.50/10.28 (~node4(s351)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28736, 36, 28831])).
% 14.50/10.28 tff(28982,plain,
% 14.50/10.28 (xuntil6(s351) | (~until5(s351))),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28743, 294, 28981])).
% 14.50/10.28 tff(28983,plain,
% 14.50/10.28 (~until5(s351)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28982, 28980])).
% 14.50/10.28 tff(28984,plain,
% 14.50/10.28 (~xuntil6(s350)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28732, 28983])).
% 14.50/10.28 tff(28985,assumption,(node4(s350)), introduced(assumption)).
% 14.50/10.28 tff(28986,plain,
% 14.50/10.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s350) | (~node4(s350)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s350) | (~node4(s350)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28987,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s350) | (~node4(s350)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28988,plain,
% 14.50/10.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s350) | (~node4(s350))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 14.50/10.28 tff(28989,plain,
% 14.50/10.28 (m_main_v_request(s350)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28988, 21, 28985])).
% 14.50/10.28 tff(28990,plain,
% 14.50/10.28 (always3(s350)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28719, 36, 28985])).
% 14.50/10.28 tff(28991,plain,
% 14.50/10.28 (always3(s351)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[27498, 28990])).
% 14.50/10.28 tff(28992,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s351)) | (~m_main_v_state(s351, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s351)) | (~m_main_v_state(s351, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28993,plain,
% 14.50/10.28 (((~m_main_v_state(s351, c_busy)) | (~always3(s351))) <=> ((~always3(s351)) | (~m_main_v_state(s351, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(28994,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s351, c_busy)) | (~always3(s351)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s351)) | (~m_main_v_state(s351, c_busy))))),
% 14.50/10.28 inference(monotonicity,[status(thm)],[28993])).
% 14.50/10.28 tff(28995,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s351, c_busy)) | (~always3(s351)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s351)) | (~m_main_v_state(s351, c_busy)))),
% 14.50/10.28 inference(transitivity,[status(thm)],[28994, 28992])).
% 14.50/10.28 tff(28996,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s351, c_busy)) | (~always3(s351)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(28997,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s351)) | (~m_main_v_state(s351, c_busy))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[28996, 28995])).
% 14.50/10.28 tff(28998,plain,
% 14.50/10.28 (~m_main_v_state(s351, c_busy)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[28997, 85, 28991])).
% 14.50/10.28 tff(28999,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s350)) | (~m_main_v_state(s350, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s350)) | (~m_main_v_state(s350, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(29000,plain,
% 14.50/10.28 (((~m_main_v_state(s350, c_busy)) | (~always3(s350))) <=> ((~always3(s350)) | (~m_main_v_state(s350, c_busy)))),
% 14.50/10.28 inference(rewrite,[status(thm)],[])).
% 14.50/10.28 tff(29001,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s350, c_busy)) | (~always3(s350)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s350)) | (~m_main_v_state(s350, c_busy))))),
% 14.50/10.28 inference(monotonicity,[status(thm)],[29000])).
% 14.50/10.28 tff(29002,plain,
% 14.50/10.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s350, c_busy)) | (~always3(s350)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s350)) | (~m_main_v_state(s350, c_busy)))),
% 14.50/10.28 inference(transitivity,[status(thm)],[29001, 28999])).
% 14.50/10.28 tff(29003,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s350, c_busy)) | (~always3(s350)))),
% 14.50/10.28 inference(quant_inst,[status(thm)],[])).
% 14.50/10.28 tff(29004,plain,
% 14.50/10.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s350)) | (~m_main_v_state(s350, c_busy))),
% 14.50/10.28 inference(modus_ponens,[status(thm)],[29003, 29002])).
% 14.50/10.28 tff(29005,plain,
% 14.50/10.28 (~m_main_v_state(s350, c_busy)),
% 14.50/10.28 inference(unit_resolution,[status(thm)],[29004, 85, 28990])).
% 14.50/10.28 tff(29006,assumption,(~m_main_v_state(s350, c_ready)), introduced(assumption)).
% 14.50/10.28 tff(29007,assumption,(~m_main_v_state(s350, c_busy)), introduced(assumption)).
% 14.50/10.28 tff(29008,plain,
% 14.50/10.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s350, c_busy) | m_main_v_state(s350, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s350, c_busy) | m_main_v_state(s350, c_ready))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29009,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s350, c_busy) | m_main_v_state(s350, c_ready))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29010,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s350, c_busy) | m_main_v_state(s350, c_ready)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29009, 29008])).
% 14.50/10.29 tff(29011,plain,
% 14.50/10.29 ($false),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29010, 102, 29007, 29006])).
% 14.50/10.29 tff(29012,plain,(m_main_v_state(s350, c_ready) | m_main_v_state(s350, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.29 tff(29013,plain,
% 14.50/10.29 (m_main_v_state(s350, c_ready)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29012, 29005])).
% 14.50/10.29 tff(29014,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s350, s351)) | node2(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s350, s351)) | node2(s350, s351))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29015,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s350, s351)) | node2(s350, s351))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29016,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s350, s351)) | node2(s350, s351)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 14.50/10.29 tff(29017,plain,
% 14.50/10.29 (node2(s350, s351)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29016, 7, 27494])).
% 14.50/10.29 tff(29018,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s350, c_ready)) | (~node2(s350, s351)) | m_main_v_state(s351, c_busy) | (~m_main_v_request(s350)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s350, c_ready)) | (~node2(s350, s351)) | m_main_v_state(s351, c_busy) | (~m_main_v_request(s350)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29019,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s350, c_ready)) | (~node2(s350, s351)) | m_main_v_state(s351, c_busy) | (~m_main_v_request(s350)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29020,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s350, c_ready)) | (~node2(s350, s351)) | m_main_v_state(s351, c_busy) | (~m_main_v_request(s350))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29019, 29018])).
% 14.50/10.29 tff(29021,plain,
% 14.50/10.29 ((~m_main_v_state(s350, c_ready)) | m_main_v_state(s351, c_busy) | (~m_main_v_request(s350))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29020, 73, 29017])).
% 14.50/10.29 tff(29022,plain,
% 14.50/10.29 ($false),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29021, 29013, 28998, 28989])).
% 14.50/10.29 tff(29023,plain,(~node4(s350)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.29 tff(29024,plain,
% 14.50/10.29 (xuntil6(s350) | (~until5(s350))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28726, 294, 29023])).
% 14.50/10.29 tff(29025,plain,
% 14.50/10.29 (~until5(s350)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29024, 28984])).
% 14.50/10.29 tff(29026,plain,
% 14.50/10.29 (~xuntil6(s349)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28715, 29025])).
% 14.50/10.29 tff(29027,plain,
% 14.50/10.29 (~node4(s349)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28702, 36, 28833])).
% 14.50/10.29 tff(29028,plain,
% 14.50/10.29 (xuntil6(s349) | (~until5(s349))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28709, 294, 29027])).
% 14.50/10.29 tff(29029,plain,
% 14.50/10.29 (~until5(s349)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29028, 29026])).
% 14.50/10.29 tff(29030,plain,
% 14.50/10.29 (~xuntil6(s348)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28698, 29029])).
% 14.50/10.29 tff(29031,plain,
% 14.50/10.29 (~node4(s348)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28685, 36, 28834])).
% 14.50/10.29 tff(29032,plain,
% 14.50/10.29 (xuntil6(s348) | (~until5(s348))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28692, 294, 29031])).
% 14.50/10.29 tff(29033,plain,
% 14.50/10.29 (~until5(s348)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29032, 29030])).
% 14.50/10.29 tff(29034,plain,
% 14.50/10.29 (~xuntil6(s347)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28681, 29033])).
% 14.50/10.29 tff(29035,plain,
% 14.50/10.29 (~node4(s347)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28668, 36, 28835])).
% 14.50/10.29 tff(29036,plain,
% 14.50/10.29 (xuntil6(s347) | (~until5(s347))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28675, 294, 29035])).
% 14.50/10.29 tff(29037,plain,
% 14.50/10.29 (~until5(s347)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29036, 29034])).
% 14.50/10.29 tff(29038,plain,
% 14.50/10.29 (~xuntil6(s346)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28664, 29037])).
% 14.50/10.29 tff(29039,plain,
% 14.50/10.29 (~node4(s346)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28651, 36, 28836])).
% 14.50/10.29 tff(29040,plain,
% 14.50/10.29 (xuntil6(s346) | (~until5(s346))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28658, 294, 29039])).
% 14.50/10.29 tff(29041,plain,
% 14.50/10.29 (~until5(s346)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29040, 29038])).
% 14.50/10.29 tff(29042,plain,
% 14.50/10.29 (~xuntil6(s345)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28647, 29041])).
% 14.50/10.29 tff(29043,plain,
% 14.50/10.29 (~node4(s345)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28634, 36, 28837])).
% 14.50/10.29 tff(29044,plain,
% 14.50/10.29 (xuntil6(s345) | (~until5(s345))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28641, 294, 29043])).
% 14.50/10.29 tff(29045,plain,
% 14.50/10.29 (~until5(s345)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29044, 29042])).
% 14.50/10.29 tff(29046,plain,
% 14.50/10.29 (~xuntil6(s344)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28630, 29045])).
% 14.50/10.29 tff(29047,assumption,(node4(s344)), introduced(assumption)).
% 14.50/10.29 tff(29048,plain,
% 14.50/10.29 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s344) | (~node4(s344)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s344) | (~node4(s344)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29049,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s344) | (~node4(s344)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29050,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s344) | (~node4(s344))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29049, 29048])).
% 14.50/10.29 tff(29051,plain,
% 14.50/10.29 (m_main_v_request(s344)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29050, 21, 29047])).
% 14.50/10.29 tff(29052,plain,
% 14.50/10.29 (always3(s344)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28617, 36, 29047])).
% 14.50/10.29 tff(29053,plain,
% 14.50/10.29 (always3(s345)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[27570, 29052])).
% 14.50/10.29 tff(29054,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s345)) | (~m_main_v_state(s345, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s345)) | (~m_main_v_state(s345, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29055,plain,
% 14.50/10.29 (((~m_main_v_state(s345, c_busy)) | (~always3(s345))) <=> ((~always3(s345)) | (~m_main_v_state(s345, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29056,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s345, c_busy)) | (~always3(s345)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s345)) | (~m_main_v_state(s345, c_busy))))),
% 14.50/10.29 inference(monotonicity,[status(thm)],[29055])).
% 14.50/10.29 tff(29057,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s345, c_busy)) | (~always3(s345)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s345)) | (~m_main_v_state(s345, c_busy)))),
% 14.50/10.29 inference(transitivity,[status(thm)],[29056, 29054])).
% 14.50/10.29 tff(29058,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s345, c_busy)) | (~always3(s345)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29059,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s345)) | (~m_main_v_state(s345, c_busy))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29058, 29057])).
% 14.50/10.29 tff(29060,plain,
% 14.50/10.29 (~m_main_v_state(s345, c_busy)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29059, 85, 29053])).
% 14.50/10.29 tff(29061,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s344)) | (~m_main_v_state(s344, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s344)) | (~m_main_v_state(s344, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29062,plain,
% 14.50/10.29 (((~m_main_v_state(s344, c_busy)) | (~always3(s344))) <=> ((~always3(s344)) | (~m_main_v_state(s344, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29063,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s344, c_busy)) | (~always3(s344)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s344)) | (~m_main_v_state(s344, c_busy))))),
% 14.50/10.29 inference(monotonicity,[status(thm)],[29062])).
% 14.50/10.29 tff(29064,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s344, c_busy)) | (~always3(s344)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s344)) | (~m_main_v_state(s344, c_busy)))),
% 14.50/10.29 inference(transitivity,[status(thm)],[29063, 29061])).
% 14.50/10.29 tff(29065,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s344, c_busy)) | (~always3(s344)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29066,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s344)) | (~m_main_v_state(s344, c_busy))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29065, 29064])).
% 14.50/10.29 tff(29067,plain,
% 14.50/10.29 (~m_main_v_state(s344, c_busy)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29066, 85, 29052])).
% 14.50/10.29 tff(29068,assumption,(~m_main_v_state(s344, c_ready)), introduced(assumption)).
% 14.50/10.29 tff(29069,assumption,(~m_main_v_state(s344, c_busy)), introduced(assumption)).
% 14.50/10.29 tff(29070,plain,
% 14.50/10.29 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s344, c_busy) | m_main_v_state(s344, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s344, c_busy) | m_main_v_state(s344, c_ready))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29071,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s344, c_busy) | m_main_v_state(s344, c_ready))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29072,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s344, c_busy) | m_main_v_state(s344, c_ready)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29071, 29070])).
% 14.50/10.29 tff(29073,plain,
% 14.50/10.29 ($false),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29072, 102, 29069, 29068])).
% 14.50/10.29 tff(29074,plain,(m_main_v_state(s344, c_ready) | m_main_v_state(s344, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.29 tff(29075,plain,
% 14.50/10.29 (m_main_v_state(s344, c_ready)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29074, 29067])).
% 14.50/10.29 tff(29076,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s344, s345)) | node2(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s344, s345)) | node2(s344, s345))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29077,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s344, s345)) | node2(s344, s345))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29078,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s344, s345)) | node2(s344, s345)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29077, 29076])).
% 14.50/10.29 tff(29079,plain,
% 14.50/10.29 (node2(s344, s345)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29078, 7, 27566])).
% 14.50/10.29 tff(29080,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s344, c_ready)) | (~node2(s344, s345)) | m_main_v_state(s345, c_busy) | (~m_main_v_request(s344)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s344, c_ready)) | (~node2(s344, s345)) | m_main_v_state(s345, c_busy) | (~m_main_v_request(s344)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29081,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s344, c_ready)) | (~node2(s344, s345)) | m_main_v_state(s345, c_busy) | (~m_main_v_request(s344)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29082,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s344, c_ready)) | (~node2(s344, s345)) | m_main_v_state(s345, c_busy) | (~m_main_v_request(s344))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29081, 29080])).
% 14.50/10.29 tff(29083,plain,
% 14.50/10.29 ((~m_main_v_state(s344, c_ready)) | m_main_v_state(s345, c_busy) | (~m_main_v_request(s344))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29082, 73, 29079])).
% 14.50/10.29 tff(29084,plain,
% 14.50/10.29 ($false),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29083, 29075, 29060, 29051])).
% 14.50/10.29 tff(29085,plain,(~node4(s344)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.29 tff(29086,plain,
% 14.50/10.29 (xuntil6(s344) | (~until5(s344))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28624, 294, 29085])).
% 14.50/10.29 tff(29087,plain,
% 14.50/10.29 (~until5(s344)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29086, 29046])).
% 14.50/10.29 tff(29088,plain,
% 14.50/10.29 (~xuntil6(s343)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28613, 29087])).
% 14.50/10.29 tff(29089,plain,
% 14.50/10.29 (~node4(s343)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28600, 36, 28839])).
% 14.50/10.29 tff(29090,plain,
% 14.50/10.29 (xuntil6(s343) | (~until5(s343))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28607, 294, 29089])).
% 14.50/10.29 tff(29091,plain,
% 14.50/10.29 (~until5(s343)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29090, 29088])).
% 14.50/10.29 tff(29092,plain,
% 14.50/10.29 (~xuntil6(s342)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28596, 29091])).
% 14.50/10.29 tff(29093,plain,
% 14.50/10.29 (~node4(s342)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28583, 36, 28840])).
% 14.50/10.29 tff(29094,plain,
% 14.50/10.29 (xuntil6(s342) | (~until5(s342))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28590, 294, 29093])).
% 14.50/10.29 tff(29095,plain,
% 14.50/10.29 (~until5(s342)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29094, 29092])).
% 14.50/10.29 tff(29096,plain,
% 14.50/10.29 (~xuntil6(s341)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28579, 29095])).
% 14.50/10.29 tff(29097,plain,
% 14.50/10.29 (~node4(s341)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28566, 36, 28841])).
% 14.50/10.29 tff(29098,plain,
% 14.50/10.29 (xuntil6(s341) | (~until5(s341))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28573, 294, 29097])).
% 14.50/10.29 tff(29099,plain,
% 14.50/10.29 (~until5(s341)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29098, 29096])).
% 14.50/10.29 tff(29100,plain,
% 14.50/10.29 (~xuntil6(s340)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28562, 29099])).
% 14.50/10.29 tff(29101,assumption,(node4(s340)), introduced(assumption)).
% 14.50/10.29 tff(29102,plain,
% 14.50/10.29 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s340) | (~node4(s340)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s340) | (~node4(s340)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29103,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s340) | (~node4(s340)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29104,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s340) | (~node4(s340))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29103, 29102])).
% 14.50/10.29 tff(29105,plain,
% 14.50/10.29 (m_main_v_request(s340)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29104, 21, 29101])).
% 14.50/10.29 tff(29106,plain,
% 14.50/10.29 (always3(s340)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28549, 36, 29101])).
% 14.50/10.29 tff(29107,plain,
% 14.50/10.29 (always3(s341)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[27618, 29106])).
% 14.50/10.29 tff(29108,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s341)) | (~m_main_v_state(s341, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s341)) | (~m_main_v_state(s341, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29109,plain,
% 14.50/10.29 (((~m_main_v_state(s341, c_busy)) | (~always3(s341))) <=> ((~always3(s341)) | (~m_main_v_state(s341, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29110,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s341, c_busy)) | (~always3(s341)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s341)) | (~m_main_v_state(s341, c_busy))))),
% 14.50/10.29 inference(monotonicity,[status(thm)],[29109])).
% 14.50/10.29 tff(29111,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s341, c_busy)) | (~always3(s341)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s341)) | (~m_main_v_state(s341, c_busy)))),
% 14.50/10.29 inference(transitivity,[status(thm)],[29110, 29108])).
% 14.50/10.29 tff(29112,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s341, c_busy)) | (~always3(s341)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29113,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s341)) | (~m_main_v_state(s341, c_busy))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29112, 29111])).
% 14.50/10.29 tff(29114,plain,
% 14.50/10.29 (~m_main_v_state(s341, c_busy)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29113, 85, 29107])).
% 14.50/10.29 tff(29115,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s340, s341)) | node2(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s340, s341)) | node2(s340, s341))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29116,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s340, s341)) | node2(s340, s341))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29117,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s340, s341)) | node2(s340, s341)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29116, 29115])).
% 14.50/10.29 tff(29118,plain,
% 14.50/10.29 (node2(s340, s341)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29117, 7, 27614])).
% 14.50/10.29 tff(29119,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s340, c_ready)) | (~node2(s340, s341)) | m_main_v_state(s341, c_busy) | (~m_main_v_request(s340)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s340, c_ready)) | (~node2(s340, s341)) | m_main_v_state(s341, c_busy) | (~m_main_v_request(s340)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29120,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s340, c_ready)) | (~node2(s340, s341)) | m_main_v_state(s341, c_busy) | (~m_main_v_request(s340)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29121,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s340, c_ready)) | (~node2(s340, s341)) | m_main_v_state(s341, c_busy) | (~m_main_v_request(s340))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29120, 29119])).
% 14.50/10.29 tff(29122,plain,
% 14.50/10.29 ((~m_main_v_state(s340, c_ready)) | m_main_v_state(s341, c_busy) | (~m_main_v_request(s340))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29121, 73, 29118])).
% 14.50/10.29 tff(29123,plain,
% 14.50/10.29 (~m_main_v_state(s340, c_ready)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29122, 29114, 29105])).
% 14.50/10.29 tff(29124,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s340)) | (~m_main_v_state(s340, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s340)) | (~m_main_v_state(s340, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29125,plain,
% 14.50/10.29 (((~m_main_v_state(s340, c_busy)) | (~always3(s340))) <=> ((~always3(s340)) | (~m_main_v_state(s340, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29126,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s340, c_busy)) | (~always3(s340)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s340)) | (~m_main_v_state(s340, c_busy))))),
% 14.50/10.29 inference(monotonicity,[status(thm)],[29125])).
% 14.50/10.29 tff(29127,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s340, c_busy)) | (~always3(s340)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s340)) | (~m_main_v_state(s340, c_busy)))),
% 14.50/10.29 inference(transitivity,[status(thm)],[29126, 29124])).
% 14.50/10.29 tff(29128,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s340, c_busy)) | (~always3(s340)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29129,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s340)) | (~m_main_v_state(s340, c_busy))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29128, 29127])).
% 14.50/10.29 tff(29130,plain,
% 14.50/10.29 (~m_main_v_state(s340, c_busy)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29129, 85, 29106])).
% 14.50/10.29 tff(29131,plain,
% 14.50/10.29 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s340, c_busy) | m_main_v_state(s340, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s340, c_busy) | m_main_v_state(s340, c_ready))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29132,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s340, c_busy) | m_main_v_state(s340, c_ready))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29133,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s340, c_busy) | m_main_v_state(s340, c_ready)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29132, 29131])).
% 14.50/10.29 tff(29134,plain,
% 14.50/10.29 ($false),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29133, 102, 29130, 29123])).
% 14.50/10.29 tff(29135,plain,(~node4(s340)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.29 tff(29136,plain,
% 14.50/10.29 (xuntil6(s340) | (~until5(s340))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28556, 294, 29135])).
% 14.50/10.29 tff(29137,plain,
% 14.50/10.29 (~until5(s340)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29136, 29100])).
% 14.50/10.29 tff(29138,plain,
% 14.50/10.29 (~xuntil6(s339)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28545, 29137])).
% 14.50/10.29 tff(29139,assumption,(node4(s339)), introduced(assumption)).
% 14.50/10.29 tff(29140,plain,
% 14.50/10.29 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s339) | (~node4(s339)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s339) | (~node4(s339)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29141,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s339) | (~node4(s339)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29142,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s339) | (~node4(s339))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29141, 29140])).
% 14.50/10.29 tff(29143,plain,
% 14.50/10.29 (m_main_v_request(s339)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29142, 21, 29139])).
% 14.50/10.29 tff(29144,plain,
% 14.50/10.29 (always3(s339)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28532, 36, 29139])).
% 14.50/10.29 tff(29145,plain,
% 14.50/10.29 (always3(s340)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[27630, 29144])).
% 14.50/10.29 tff(29146,plain,
% 14.50/10.29 (~m_main_v_state(s340, c_busy)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29129, 85, 29145])).
% 14.50/10.29 tff(29147,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s339)) | (~m_main_v_state(s339, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s339)) | (~m_main_v_state(s339, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29148,plain,
% 14.50/10.29 (((~m_main_v_state(s339, c_busy)) | (~always3(s339))) <=> ((~always3(s339)) | (~m_main_v_state(s339, c_busy)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29149,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s339, c_busy)) | (~always3(s339)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s339)) | (~m_main_v_state(s339, c_busy))))),
% 14.50/10.29 inference(monotonicity,[status(thm)],[29148])).
% 14.50/10.29 tff(29150,plain,
% 14.50/10.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s339, c_busy)) | (~always3(s339)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s339)) | (~m_main_v_state(s339, c_busy)))),
% 14.50/10.29 inference(transitivity,[status(thm)],[29149, 29147])).
% 14.50/10.29 tff(29151,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s339, c_busy)) | (~always3(s339)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29152,plain,
% 14.50/10.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s339)) | (~m_main_v_state(s339, c_busy))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29151, 29150])).
% 14.50/10.29 tff(29153,plain,
% 14.50/10.29 (~m_main_v_state(s339, c_busy)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29152, 85, 29144])).
% 14.50/10.29 tff(29154,assumption,(~m_main_v_state(s339, c_busy)), introduced(assumption)).
% 14.50/10.29 tff(29155,assumption,(~m_main_v_state(s339, c_ready)), introduced(assumption)).
% 14.50/10.29 tff(29156,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s338, s339)) | node2(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s338, s339)) | node2(s338, s339))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29157,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s338, s339)) | node2(s338, s339))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29158,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s338, s339)) | node2(s338, s339)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29157, 29156])).
% 14.50/10.29 tff(29159,plain,
% 14.50/10.29 (node2(s338, s339)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29158, 7, 27638])).
% 14.50/10.29 tff(29160,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s338, s339)) | m_main_v_state(s339, c_busy) | node1(s338) | m_main_v_state(s339, 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(s338, s339)) | m_main_v_state(s339, c_busy) | node1(s338) | m_main_v_state(s339, c_ready))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29161,plain,
% 14.50/10.29 ((node1(s338) | m_main_v_state(s339, c_ready) | (~node2(s338, s339)) | m_main_v_state(s339, c_busy)) <=> ((~node2(s338, s339)) | m_main_v_state(s339, c_busy) | node1(s338) | m_main_v_state(s339, c_ready))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29162,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s338) | m_main_v_state(s339, c_ready) | (~node2(s338, s339)) | m_main_v_state(s339, 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(s338, s339)) | m_main_v_state(s339, c_busy) | node1(s338) | m_main_v_state(s339, c_ready)))),
% 14.50/10.29 inference(monotonicity,[status(thm)],[29161])).
% 14.50/10.29 tff(29163,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s338) | m_main_v_state(s339, c_ready) | (~node2(s338, s339)) | m_main_v_state(s339, 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(s338, s339)) | m_main_v_state(s339, c_busy) | node1(s338) | m_main_v_state(s339, c_ready))),
% 14.50/10.29 inference(transitivity,[status(thm)],[29162, 29160])).
% 14.50/10.29 tff(29164,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s338) | m_main_v_state(s339, c_ready) | (~node2(s338, s339)) | m_main_v_state(s339, c_busy))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29165,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s338, s339)) | m_main_v_state(s339, c_busy) | node1(s338) | m_main_v_state(s339, c_ready)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29164, 29163])).
% 14.50/10.29 tff(29166,plain,
% 14.50/10.29 (m_main_v_state(s339, c_busy) | node1(s338) | m_main_v_state(s339, c_ready)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29165, 3551, 29159])).
% 14.50/10.29 tff(29167,plain,
% 14.50/10.29 (node1(s338)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29166, 29154, 29155])).
% 14.50/10.29 tff(29168,plain,
% 14.50/10.29 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s338, c_ready) | (~node1(s338)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s338, c_ready) | (~node1(s338)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29169,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s338, c_ready) | (~node1(s338)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29170,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s338, c_ready) | (~node1(s338))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29169, 29168])).
% 14.50/10.29 tff(29171,plain,
% 14.50/10.29 (m_main_v_state(s338, c_ready)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29170, 3581, 29167])).
% 14.50/10.29 tff(29172,plain,
% 14.50/10.29 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s338) | (~node1(s338)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s338) | (~node1(s338)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29173,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s338) | (~node1(s338)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29174,plain,
% 14.50/10.29 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s338) | (~node1(s338))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29173, 29172])).
% 14.50/10.29 tff(29175,plain,
% 14.50/10.29 (m_main_v_request(s338)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29174, 3568, 29167])).
% 14.50/10.29 tff(29176,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s338, c_ready)) | (~node2(s338, s339)) | m_main_v_state(s339, c_busy) | (~m_main_v_request(s338)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s338, c_ready)) | (~node2(s338, s339)) | m_main_v_state(s339, c_busy) | (~m_main_v_request(s338)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29177,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s338, c_ready)) | (~node2(s338, s339)) | m_main_v_state(s339, c_busy) | (~m_main_v_request(s338)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29178,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s338, c_ready)) | (~node2(s338, s339)) | m_main_v_state(s339, c_busy) | (~m_main_v_request(s338))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29177, 29176])).
% 14.50/10.29 tff(29179,plain,
% 14.50/10.29 ((~m_main_v_state(s338, c_ready)) | m_main_v_state(s339, c_busy) | (~m_main_v_request(s338))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29178, 73, 29159])).
% 14.50/10.29 tff(29180,plain,
% 14.50/10.29 ($false),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29179, 29175, 29171, 29154])).
% 14.50/10.29 tff(29181,plain,(m_main_v_state(s339, c_busy) | m_main_v_state(s339, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.29 tff(29182,plain,
% 14.50/10.29 (m_main_v_state(s339, c_ready)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29181, 29153])).
% 14.50/10.29 tff(29183,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s339, s340)) | node2(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s339, s340)) | node2(s339, s340))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29184,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s339, s340)) | node2(s339, s340))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29185,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s339, s340)) | node2(s339, s340)),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29184, 29183])).
% 14.50/10.29 tff(29186,plain,
% 14.50/10.29 (node2(s339, s340)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29185, 7, 27626])).
% 14.50/10.29 tff(29187,plain,
% 14.50/10.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s339, c_ready)) | (~node2(s339, s340)) | m_main_v_state(s340, c_busy) | (~m_main_v_request(s339)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s339, c_ready)) | (~node2(s339, s340)) | m_main_v_state(s340, c_busy) | (~m_main_v_request(s339)))),
% 14.50/10.29 inference(rewrite,[status(thm)],[])).
% 14.50/10.29 tff(29188,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s339, c_ready)) | (~node2(s339, s340)) | m_main_v_state(s340, c_busy) | (~m_main_v_request(s339)))),
% 14.50/10.29 inference(quant_inst,[status(thm)],[])).
% 14.50/10.29 tff(29189,plain,
% 14.50/10.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s339, c_ready)) | (~node2(s339, s340)) | m_main_v_state(s340, c_busy) | (~m_main_v_request(s339))),
% 14.50/10.29 inference(modus_ponens,[status(thm)],[29188, 29187])).
% 14.50/10.29 tff(29190,plain,
% 14.50/10.29 ((~m_main_v_state(s339, c_ready)) | m_main_v_state(s340, c_busy) | (~m_main_v_request(s339))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29189, 73, 29186])).
% 14.50/10.29 tff(29191,plain,
% 14.50/10.29 ($false),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29190, 29182, 29146, 29143])).
% 14.50/10.29 tff(29192,plain,(~node4(s339)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.29 tff(29193,plain,
% 14.50/10.29 (xuntil6(s339) | (~until5(s339))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28539, 294, 29192])).
% 14.50/10.29 tff(29194,plain,
% 14.50/10.29 (~until5(s339)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29193, 29138])).
% 14.50/10.29 tff(29195,plain,
% 14.50/10.29 (~xuntil6(s338)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28528, 29194])).
% 14.50/10.29 tff(29196,plain,
% 14.50/10.29 (~node4(s311)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28056, 36, 28871])).
% 14.50/10.29 tff(29197,plain,
% 14.50/10.29 (~node4(s310)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28039, 36, 28872])).
% 14.50/10.29 tff(29198,assumption,(until5(s310)), introduced(assumption)).
% 14.50/10.29 tff(29199,plain,
% 14.50/10.29 (xuntil6(s310) | node4(s310)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28046, 294, 29198])).
% 14.50/10.29 tff(29200,plain,
% 14.50/10.29 (xuntil6(s310)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29199, 29197])).
% 14.50/10.29 tff(29201,plain,
% 14.50/10.29 (until5(s311)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28052, 29200])).
% 14.50/10.29 tff(29202,plain,
% 14.50/10.29 (xuntil6(s311)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28063, 294, 29201, 29196])).
% 14.50/10.29 tff(29203,plain,
% 14.50/10.29 (until5(s312)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28069, 29202])).
% 14.50/10.29 tff(29204,plain,
% 14.50/10.29 (~node4(s312)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28073, 36, 28870])).
% 14.50/10.29 tff(29205,plain,
% 14.50/10.29 (xuntil6(s312) | (~until5(s312))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28080, 294, 29204])).
% 14.50/10.29 tff(29206,plain,
% 14.50/10.29 (xuntil6(s312)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29205, 29203])).
% 14.50/10.29 tff(29207,plain,
% 14.50/10.29 (until5(s313)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28086, 29206])).
% 14.50/10.29 tff(29208,plain,
% 14.50/10.29 (~node4(s313)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28090, 36, 28869])).
% 14.50/10.29 tff(29209,plain,
% 14.50/10.29 (xuntil6(s313) | (~until5(s313))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28097, 294, 29208])).
% 14.50/10.29 tff(29210,plain,
% 14.50/10.29 (xuntil6(s313)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29209, 29207])).
% 14.50/10.29 tff(29211,plain,
% 14.50/10.29 (until5(s314)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28103, 29210])).
% 14.50/10.29 tff(29212,plain,
% 14.50/10.29 (~node4(s314)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28107, 36, 28868])).
% 14.50/10.29 tff(29213,plain,
% 14.50/10.29 (xuntil6(s314) | (~until5(s314))),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28114, 294, 29212])).
% 14.50/10.29 tff(29214,plain,
% 14.50/10.29 (xuntil6(s314)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[29213, 29211])).
% 14.50/10.29 tff(29215,plain,
% 14.50/10.29 (until5(s315)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28120, 29214])).
% 14.50/10.29 tff(29216,plain,
% 14.50/10.29 (~node4(s315)),
% 14.50/10.29 inference(unit_resolution,[status(thm)],[28124, 36, 28867])).
% 14.50/10.29 tff(29217,plain,
% 14.50/10.29 (xuntil6(s315) | (~until5(s315))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28131, 294, 29216])).
% 14.50/10.30 tff(29218,plain,
% 14.50/10.30 (xuntil6(s315)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29217, 29215])).
% 14.50/10.30 tff(29219,plain,
% 14.50/10.30 (until5(s316)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28137, 29218])).
% 14.50/10.30 tff(29220,plain,
% 14.50/10.30 (~node4(s316)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28141, 36, 28866])).
% 14.50/10.30 tff(29221,plain,
% 14.50/10.30 (xuntil6(s316) | (~until5(s316))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28148, 294, 29220])).
% 14.50/10.30 tff(29222,plain,
% 14.50/10.30 (xuntil6(s316)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29221, 29219])).
% 14.50/10.30 tff(29223,plain,
% 14.50/10.30 (until5(s317)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28154, 29222])).
% 14.50/10.30 tff(29224,plain,
% 14.50/10.30 (~node4(s317)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28158, 36, 28865])).
% 14.50/10.30 tff(29225,plain,
% 14.50/10.30 (xuntil6(s317) | (~until5(s317))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28165, 294, 29224])).
% 14.50/10.30 tff(29226,plain,
% 14.50/10.30 (xuntil6(s317)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29225, 29223])).
% 14.50/10.30 tff(29227,plain,
% 14.50/10.30 (until5(s318)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28171, 29226])).
% 14.50/10.30 tff(29228,plain,
% 14.50/10.30 (~node4(s318)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28175, 36, 28864])).
% 14.50/10.30 tff(29229,plain,
% 14.50/10.30 (xuntil6(s318) | (~until5(s318))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28182, 294, 29228])).
% 14.50/10.30 tff(29230,plain,
% 14.50/10.30 (xuntil6(s318)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29229, 29227])).
% 14.50/10.30 tff(29231,plain,
% 14.50/10.30 (until5(s319)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28188, 29230])).
% 14.50/10.30 tff(29232,plain,
% 14.50/10.30 (~node4(s319)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28192, 36, 28863])).
% 14.50/10.30 tff(29233,plain,
% 14.50/10.30 (xuntil6(s319) | (~until5(s319))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28199, 294, 29232])).
% 14.50/10.30 tff(29234,plain,
% 14.50/10.30 (xuntil6(s319)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29233, 29231])).
% 14.50/10.30 tff(29235,plain,
% 14.50/10.30 (until5(s320)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28205, 29234])).
% 14.50/10.30 tff(29236,plain,
% 14.50/10.30 (~node4(s320)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28209, 36, 28862])).
% 14.50/10.30 tff(29237,plain,
% 14.50/10.30 (xuntil6(s320) | (~until5(s320))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28216, 294, 29236])).
% 14.50/10.30 tff(29238,plain,
% 14.50/10.30 (xuntil6(s320)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29237, 29235])).
% 14.50/10.30 tff(29239,plain,
% 14.50/10.30 (until5(s321)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28222, 29238])).
% 14.50/10.30 tff(29240,plain,
% 14.50/10.30 (~node4(s321)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28226, 36, 28861])).
% 14.50/10.30 tff(29241,plain,
% 14.50/10.30 (xuntil6(s321) | (~until5(s321))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28233, 294, 29240])).
% 14.50/10.30 tff(29242,plain,
% 14.50/10.30 (xuntil6(s321)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29241, 29239])).
% 14.50/10.30 tff(29243,plain,
% 14.50/10.30 (until5(s322)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28239, 29242])).
% 14.50/10.30 tff(29244,plain,
% 14.50/10.30 (~node4(s322)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28243, 36, 28860])).
% 14.50/10.30 tff(29245,plain,
% 14.50/10.30 (xuntil6(s322) | (~until5(s322))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28250, 294, 29244])).
% 14.50/10.30 tff(29246,plain,
% 14.50/10.30 (xuntil6(s322)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29245, 29243])).
% 14.50/10.30 tff(29247,plain,
% 14.50/10.30 (until5(s323)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28256, 29246])).
% 14.50/10.30 tff(29248,plain,
% 14.50/10.30 (~node4(s323)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28260, 36, 28859])).
% 14.50/10.30 tff(29249,plain,
% 14.50/10.30 (xuntil6(s323) | (~until5(s323))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28267, 294, 29248])).
% 14.50/10.30 tff(29250,plain,
% 14.50/10.30 (xuntil6(s323)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29249, 29247])).
% 14.50/10.30 tff(29251,plain,
% 14.50/10.30 (until5(s324)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28273, 29250])).
% 14.50/10.30 tff(29252,plain,
% 14.50/10.30 (~node4(s324)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28277, 36, 28858])).
% 14.50/10.30 tff(29253,plain,
% 14.50/10.30 (xuntil6(s324) | (~until5(s324))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28284, 294, 29252])).
% 14.50/10.30 tff(29254,plain,
% 14.50/10.30 (xuntil6(s324)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29253, 29251])).
% 14.50/10.30 tff(29255,plain,
% 14.50/10.30 (until5(s325)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28290, 29254])).
% 14.50/10.30 tff(29256,plain,
% 14.50/10.30 (~node4(s325)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28294, 36, 28857])).
% 14.50/10.30 tff(29257,plain,
% 14.50/10.30 (xuntil6(s325) | (~until5(s325))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28301, 294, 29256])).
% 14.50/10.30 tff(29258,plain,
% 14.50/10.30 (xuntil6(s325)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29257, 29255])).
% 14.50/10.30 tff(29259,plain,
% 14.50/10.30 (until5(s326)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28307, 29258])).
% 14.50/10.30 tff(29260,plain,
% 14.50/10.30 (~node4(s326)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28311, 36, 28856])).
% 14.50/10.30 tff(29261,plain,
% 14.50/10.30 (xuntil6(s326) | (~until5(s326))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28318, 294, 29260])).
% 14.50/10.30 tff(29262,plain,
% 14.50/10.30 (xuntil6(s326)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29261, 29259])).
% 14.50/10.30 tff(29263,plain,
% 14.50/10.30 (until5(s327)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28324, 29262])).
% 14.50/10.30 tff(29264,plain,
% 14.50/10.30 (~node4(s327)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28328, 36, 28855])).
% 14.50/10.30 tff(29265,plain,
% 14.50/10.30 (xuntil6(s327) | (~until5(s327))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28335, 294, 29264])).
% 14.50/10.30 tff(29266,plain,
% 14.50/10.30 (xuntil6(s327)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29265, 29263])).
% 14.50/10.30 tff(29267,plain,
% 14.50/10.30 (until5(s328)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28341, 29266])).
% 14.50/10.30 tff(29268,plain,
% 14.50/10.30 (~node4(s328)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28345, 36, 28854])).
% 14.50/10.30 tff(29269,plain,
% 14.50/10.30 (xuntil6(s328) | (~until5(s328))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28352, 294, 29268])).
% 14.50/10.30 tff(29270,plain,
% 14.50/10.30 (xuntil6(s328)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29269, 29267])).
% 14.50/10.30 tff(29271,plain,
% 14.50/10.30 (until5(s329)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28358, 29270])).
% 14.50/10.30 tff(29272,plain,
% 14.50/10.30 (~node4(s329)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28362, 36, 28853])).
% 14.50/10.30 tff(29273,plain,
% 14.50/10.30 (xuntil6(s329) | (~until5(s329))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28369, 294, 29272])).
% 14.50/10.30 tff(29274,plain,
% 14.50/10.30 (xuntil6(s329)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29273, 29271])).
% 14.50/10.30 tff(29275,plain,
% 14.50/10.30 (until5(s330)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28375, 29274])).
% 14.50/10.30 tff(29276,plain,
% 14.50/10.30 (~node4(s330)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28379, 36, 28852])).
% 14.50/10.30 tff(29277,plain,
% 14.50/10.30 (xuntil6(s330) | (~until5(s330))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28386, 294, 29276])).
% 14.50/10.30 tff(29278,plain,
% 14.50/10.30 (xuntil6(s330)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29277, 29275])).
% 14.50/10.30 tff(29279,plain,
% 14.50/10.30 (until5(s331)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28392, 29278])).
% 14.50/10.30 tff(29280,plain,
% 14.50/10.30 (~node4(s331)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28396, 36, 28851])).
% 14.50/10.30 tff(29281,plain,
% 14.50/10.30 (xuntil6(s331) | (~until5(s331))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28403, 294, 29280])).
% 14.50/10.30 tff(29282,plain,
% 14.50/10.30 (xuntil6(s331)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29281, 29279])).
% 14.50/10.30 tff(29283,plain,
% 14.50/10.30 (until5(s332)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28409, 29282])).
% 14.50/10.30 tff(29284,plain,
% 14.50/10.30 (~node4(s332)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28413, 36, 28850])).
% 14.50/10.30 tff(29285,plain,
% 14.50/10.30 (xuntil6(s332) | (~until5(s332))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28420, 294, 29284])).
% 14.50/10.30 tff(29286,plain,
% 14.50/10.30 (xuntil6(s332)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29285, 29283])).
% 14.50/10.30 tff(29287,plain,
% 14.50/10.30 (until5(s333)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28426, 29286])).
% 14.50/10.30 tff(29288,plain,
% 14.50/10.30 (~node4(s333)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28430, 36, 28849])).
% 14.50/10.30 tff(29289,plain,
% 14.50/10.30 (xuntil6(s333) | (~until5(s333))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28437, 294, 29288])).
% 14.50/10.30 tff(29290,plain,
% 14.50/10.30 (xuntil6(s333)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29289, 29287])).
% 14.50/10.30 tff(29291,plain,
% 14.50/10.30 (until5(s334)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28443, 29290])).
% 14.50/10.30 tff(29292,plain,
% 14.50/10.30 (~node4(s334)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28447, 36, 28848])).
% 14.50/10.30 tff(29293,plain,
% 14.50/10.30 (xuntil6(s334) | (~until5(s334))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28454, 294, 29292])).
% 14.50/10.30 tff(29294,plain,
% 14.50/10.30 (xuntil6(s334)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29293, 29291])).
% 14.50/10.30 tff(29295,plain,
% 14.50/10.30 (until5(s335)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28460, 29294])).
% 14.50/10.30 tff(29296,plain,
% 14.50/10.30 (~node4(s335)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28464, 36, 28847])).
% 14.50/10.30 tff(29297,plain,
% 14.50/10.30 (xuntil6(s335) | (~until5(s335))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28471, 294, 29296])).
% 14.50/10.30 tff(29298,plain,
% 14.50/10.30 (xuntil6(s335)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29297, 29295])).
% 14.50/10.30 tff(29299,plain,
% 14.50/10.30 (until5(s336)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28477, 29298])).
% 14.50/10.30 tff(29300,plain,
% 14.50/10.30 (~node4(s336)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28481, 36, 28846])).
% 14.50/10.30 tff(29301,plain,
% 14.50/10.30 (xuntil6(s336) | (~until5(s336))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28488, 294, 29300])).
% 14.50/10.30 tff(29302,plain,
% 14.50/10.30 (xuntil6(s336)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29301, 29299])).
% 14.50/10.30 tff(29303,plain,
% 14.50/10.30 (until5(s337)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28494, 29302])).
% 14.50/10.30 tff(29304,plain,
% 14.50/10.30 (~node4(s337)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28498, 36, 28845])).
% 14.50/10.30 tff(29305,plain,
% 14.50/10.30 (xuntil6(s337) | (~until5(s337))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28505, 294, 29304])).
% 14.50/10.30 tff(29306,plain,
% 14.50/10.30 (xuntil6(s337)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29305, 29303])).
% 14.50/10.30 tff(29307,plain,
% 14.50/10.30 (until5(s338)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28511, 29306])).
% 14.50/10.30 tff(29308,plain,
% 14.50/10.30 (~node4(s338)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28515, 36, 28844])).
% 14.50/10.30 tff(29309,plain,
% 14.50/10.30 (xuntil6(s338) | (~until5(s338))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[28522, 294, 29308])).
% 14.50/10.30 tff(29310,plain,
% 14.50/10.30 ($false),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29309, 29307, 29195])).
% 14.50/10.30 tff(29311,plain,(always3(s366) | (~until5(s310)) | xuntil6(s366)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.30 tff(29312,plain,
% 14.50/10.30 (xuntil6(s366)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29311, 28920, 28816])).
% 14.50/10.30 tff(29313,plain,
% 14.50/10.30 (until5(s367)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[27059, 29312])).
% 14.50/10.30 tff(29314,assumption,(node4(s367)), introduced(assumption)).
% 14.50/10.30 tff(29315,plain,
% 14.50/10.30 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s367) | (~node4(s367)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s367) | (~node4(s367)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29316,plain,
% 14.50/10.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s367) | (~node4(s367)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29317,plain,
% 14.50/10.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s367) | (~node4(s367))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 14.50/10.30 tff(29318,plain,
% 14.50/10.30 (m_main_v_request(s367)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29317, 21, 29314])).
% 14.50/10.30 tff(29319,plain,
% 14.50/10.30 (always3(s367)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[27043, 36, 29314])).
% 14.50/10.30 tff(29320,plain,
% 14.50/10.30 (always3(s368)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[27039, 29319])).
% 14.50/10.30 tff(29321,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s368)) | (~m_main_v_state(s368, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s368)) | (~m_main_v_state(s368, c_busy)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29322,plain,
% 14.50/10.30 (((~m_main_v_state(s368, c_busy)) | (~always3(s368))) <=> ((~always3(s368)) | (~m_main_v_state(s368, c_busy)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29323,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s368, c_busy)) | (~always3(s368)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s368)) | (~m_main_v_state(s368, c_busy))))),
% 14.50/10.30 inference(monotonicity,[status(thm)],[29322])).
% 14.50/10.30 tff(29324,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s368, c_busy)) | (~always3(s368)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s368)) | (~m_main_v_state(s368, c_busy)))),
% 14.50/10.30 inference(transitivity,[status(thm)],[29323, 29321])).
% 14.50/10.30 tff(29325,plain,
% 14.50/10.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s368, c_busy)) | (~always3(s368)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29326,plain,
% 14.50/10.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s368)) | (~m_main_v_state(s368, c_busy))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29325, 29324])).
% 14.50/10.30 tff(29327,plain,
% 14.50/10.30 (~m_main_v_state(s368, c_busy)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29326, 85, 29320])).
% 14.50/10.30 tff(29328,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s367)) | (~m_main_v_state(s367, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s367)) | (~m_main_v_state(s367, c_busy)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29329,plain,
% 14.50/10.30 (((~m_main_v_state(s367, c_busy)) | (~always3(s367))) <=> ((~always3(s367)) | (~m_main_v_state(s367, c_busy)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29330,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s367, c_busy)) | (~always3(s367)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s367)) | (~m_main_v_state(s367, c_busy))))),
% 14.50/10.30 inference(monotonicity,[status(thm)],[29329])).
% 14.50/10.30 tff(29331,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s367, c_busy)) | (~always3(s367)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s367)) | (~m_main_v_state(s367, c_busy)))),
% 14.50/10.30 inference(transitivity,[status(thm)],[29330, 29328])).
% 14.50/10.30 tff(29332,plain,
% 14.50/10.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s367, c_busy)) | (~always3(s367)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29333,plain,
% 14.50/10.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s367)) | (~m_main_v_state(s367, c_busy))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29332, 29331])).
% 14.50/10.30 tff(29334,plain,
% 14.50/10.30 (~m_main_v_state(s367, c_busy)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29333, 85, 29319])).
% 14.50/10.30 tff(29335,assumption,(~m_main_v_state(s367, c_busy)), introduced(assumption)).
% 14.50/10.30 tff(29336,assumption,(~m_main_v_state(s367, c_ready)), introduced(assumption)).
% 14.50/10.30 tff(29337,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s366, s367)) | node2(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s366, s367)) | node2(s366, s367))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29338,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s366, s367)) | node2(s366, s367))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29339,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s366, s367)) | node2(s366, s367)),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 14.50/10.30 tff(29340,plain,
% 14.50/10.30 (node2(s366, s367)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29339, 7, 27064])).
% 14.50/10.30 tff(29341,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s366, s367)) | m_main_v_state(s367, c_busy) | node1(s366) | m_main_v_state(s367, 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(s366, s367)) | m_main_v_state(s367, c_busy) | node1(s366) | m_main_v_state(s367, c_ready))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29342,plain,
% 14.50/10.30 ((node1(s366) | m_main_v_state(s367, c_ready) | (~node2(s366, s367)) | m_main_v_state(s367, c_busy)) <=> ((~node2(s366, s367)) | m_main_v_state(s367, c_busy) | node1(s366) | m_main_v_state(s367, c_ready))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29343,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s366) | m_main_v_state(s367, c_ready) | (~node2(s366, s367)) | m_main_v_state(s367, 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(s366, s367)) | m_main_v_state(s367, c_busy) | node1(s366) | m_main_v_state(s367, c_ready)))),
% 14.50/10.30 inference(monotonicity,[status(thm)],[29342])).
% 14.50/10.30 tff(29344,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s366) | m_main_v_state(s367, c_ready) | (~node2(s366, s367)) | m_main_v_state(s367, 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(s366, s367)) | m_main_v_state(s367, c_busy) | node1(s366) | m_main_v_state(s367, c_ready))),
% 14.50/10.30 inference(transitivity,[status(thm)],[29343, 29341])).
% 14.50/10.30 tff(29345,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s366) | m_main_v_state(s367, c_ready) | (~node2(s366, s367)) | m_main_v_state(s367, c_busy))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29346,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s366, s367)) | m_main_v_state(s367, c_busy) | node1(s366) | m_main_v_state(s367, c_ready)),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29345, 29344])).
% 14.50/10.30 tff(29347,plain,
% 14.50/10.30 (m_main_v_state(s367, c_busy) | node1(s366) | m_main_v_state(s367, c_ready)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29346, 3551, 29340])).
% 14.50/10.30 tff(29348,plain,
% 14.50/10.30 (node1(s366)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29347, 29336, 29335])).
% 14.50/10.30 tff(29349,plain,
% 14.50/10.30 (node1(s366)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29347, 29335, 29336])).
% 14.50/10.30 tff(29350,assumption,(m_main_v_state(s366, c_ready)), introduced(assumption)).
% 14.50/10.30 tff(29351,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s366, c_ready)) | (~node2(s366, s367)) | m_main_v_state(s367, c_busy) | (~m_main_v_request(s366)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s366, c_ready)) | (~node2(s366, s367)) | m_main_v_state(s367, c_busy) | (~m_main_v_request(s366)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29352,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s366, c_ready)) | (~node2(s366, s367)) | m_main_v_state(s367, c_busy) | (~m_main_v_request(s366)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29353,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s366, c_ready)) | (~node2(s366, s367)) | m_main_v_state(s367, c_busy) | (~m_main_v_request(s366))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 14.50/10.30 tff(29354,plain,
% 14.50/10.30 ((~m_main_v_state(s366, c_ready)) | m_main_v_state(s367, c_busy) | (~m_main_v_request(s366))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29353, 73, 29340])).
% 14.50/10.30 tff(29355,plain,
% 14.50/10.30 (~m_main_v_request(s366)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29354, 29335, 29350])).
% 14.50/10.30 tff(29356,plain,
% 14.50/10.30 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s366) | (~node1(s366)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s366) | (~node1(s366)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29357,plain,
% 14.50/10.30 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s366) | (~node1(s366)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29358,plain,
% 14.50/10.30 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s366) | (~node1(s366))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29357, 29356])).
% 14.50/10.30 tff(29359,plain,
% 14.50/10.30 ($false),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29358, 3568, 29355, 29349])).
% 14.50/10.30 tff(29360,plain,(m_main_v_state(s367, c_busy) | (~m_main_v_state(s366, c_ready)) | m_main_v_state(s367, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.30 tff(29361,plain,
% 14.50/10.30 (~m_main_v_state(s366, c_ready)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29360, 29336, 29335])).
% 14.50/10.30 tff(29362,plain,
% 14.50/10.30 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s366, c_ready) | (~node1(s366)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s366, c_ready) | (~node1(s366)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29363,plain,
% 14.50/10.30 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s366, c_ready) | (~node1(s366)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29364,plain,
% 14.50/10.30 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s366, c_ready) | (~node1(s366))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29363, 29362])).
% 14.50/10.30 tff(29365,plain,
% 14.50/10.30 ($false),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29364, 3581, 29361, 29348])).
% 14.50/10.30 tff(29366,plain,(m_main_v_state(s367, c_ready) | m_main_v_state(s367, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.30 tff(29367,plain,
% 14.50/10.30 (m_main_v_state(s367, c_ready)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29366, 29334])).
% 14.50/10.30 tff(29368,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s367, s368)) | node2(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s367, s368)) | node2(s367, s368))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29369,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s367, s368)) | node2(s367, s368))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29370,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s367, s368)) | node2(s367, s368)),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29369, 29368])).
% 14.50/10.30 tff(29371,plain,
% 14.50/10.30 (node2(s367, s368)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29370, 7, 27035])).
% 14.50/10.30 tff(29372,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s367, c_ready)) | (~node2(s367, s368)) | m_main_v_state(s368, c_busy) | (~m_main_v_request(s367)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s367, c_ready)) | (~node2(s367, s368)) | m_main_v_state(s368, c_busy) | (~m_main_v_request(s367)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29373,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s367, c_ready)) | (~node2(s367, s368)) | m_main_v_state(s368, c_busy) | (~m_main_v_request(s367)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29374,plain,
% 14.50/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s367, c_ready)) | (~node2(s367, s368)) | m_main_v_state(s368, c_busy) | (~m_main_v_request(s367))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29373, 29372])).
% 14.50/10.30 tff(29375,plain,
% 14.50/10.30 ((~m_main_v_state(s367, c_ready)) | m_main_v_state(s368, c_busy) | (~m_main_v_request(s367))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29374, 73, 29371])).
% 14.50/10.30 tff(29376,plain,
% 14.50/10.30 ($false),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29375, 29367, 29327, 29318])).
% 14.50/10.30 tff(29377,plain,(~node4(s367)), inference(lemma,lemma(discharge,[]))).
% 14.50/10.30 tff(29378,plain,
% 14.50/10.30 (xuntil6(s367) | (~until5(s367))),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[27050, 294, 29377])).
% 14.50/10.30 tff(29379,plain,
% 14.50/10.30 (xuntil6(s367)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29378, 29313])).
% 14.50/10.30 tff(29380,plain,
% 14.50/10.30 (until5(s368)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[27030, 29379])).
% 14.50/10.30 tff(29381,assumption,(node4(s368)), introduced(assumption)).
% 14.50/10.30 tff(29382,plain,
% 14.50/10.30 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s368) | (~node4(s368)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s368) | (~node4(s368)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29383,plain,
% 14.50/10.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s368) | (~node4(s368)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29384,plain,
% 14.50/10.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s368) | (~node4(s368))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29383, 29382])).
% 14.50/10.30 tff(29385,plain,
% 14.50/10.30 (m_main_v_request(s368)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29384, 21, 29381])).
% 14.50/10.30 tff(29386,plain,
% 14.50/10.30 (always3(s368)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[27014, 36, 29381])).
% 14.50/10.30 tff(29387,plain,
% 14.50/10.30 (always3(s369)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[27010, 29386])).
% 14.50/10.30 tff(29388,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s369)) | (~m_main_v_state(s369, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s369)) | (~m_main_v_state(s369, c_busy)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29389,plain,
% 14.50/10.30 (((~m_main_v_state(s369, c_busy)) | (~always3(s369))) <=> ((~always3(s369)) | (~m_main_v_state(s369, c_busy)))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29390,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s369, c_busy)) | (~always3(s369)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s369)) | (~m_main_v_state(s369, c_busy))))),
% 14.50/10.30 inference(monotonicity,[status(thm)],[29389])).
% 14.50/10.30 tff(29391,plain,
% 14.50/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s369, c_busy)) | (~always3(s369)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s369)) | (~m_main_v_state(s369, c_busy)))),
% 14.50/10.30 inference(transitivity,[status(thm)],[29390, 29388])).
% 14.50/10.30 tff(29392,plain,
% 14.50/10.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s369, c_busy)) | (~always3(s369)))),
% 14.50/10.30 inference(quant_inst,[status(thm)],[])).
% 14.50/10.30 tff(29393,plain,
% 14.50/10.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s369)) | (~m_main_v_state(s369, c_busy))),
% 14.50/10.30 inference(modus_ponens,[status(thm)],[29392, 29391])).
% 14.50/10.30 tff(29394,plain,
% 14.50/10.30 (~m_main_v_state(s369, c_busy)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29393, 85, 29387])).
% 14.50/10.30 tff(29395,plain,
% 14.50/10.30 (~m_main_v_state(s368, c_busy)),
% 14.50/10.30 inference(unit_resolution,[status(thm)],[29326, 85, 29386])).
% 14.50/10.30 tff(29396,assumption,(~m_main_v_state(s368, c_busy)), introduced(assumption)).
% 14.50/10.30 tff(29397,assumption,(~m_main_v_state(s368, c_ready)), introduced(assumption)).
% 14.50/10.30 tff(29398,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s367, s368)) | m_main_v_state(s368, c_busy) | node1(s367) | m_main_v_state(s368, 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(s367, s368)) | m_main_v_state(s368, c_busy) | node1(s367) | m_main_v_state(s368, c_ready))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29399,plain,
% 14.50/10.30 ((node1(s367) | m_main_v_state(s368, c_ready) | (~node2(s367, s368)) | m_main_v_state(s368, c_busy)) <=> ((~node2(s367, s368)) | m_main_v_state(s368, c_busy) | node1(s367) | m_main_v_state(s368, c_ready))),
% 14.50/10.30 inference(rewrite,[status(thm)],[])).
% 14.50/10.30 tff(29400,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s367) | m_main_v_state(s368, c_ready) | (~node2(s367, s368)) | m_main_v_state(s368, 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(s367, s368)) | m_main_v_state(s368, c_busy) | node1(s367) | m_main_v_state(s368, c_ready)))),
% 14.50/10.30 inference(monotonicity,[status(thm)],[29399])).
% 14.50/10.30 tff(29401,plain,
% 14.50/10.30 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s367) | m_main_v_state(s368, c_ready) | (~node2(s367, s368)) | m_main_v_state(s368, 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(s367, s368)) | m_main_v_state(s368, c_busy) | node1(s367) | m_main_v_state(s368, c_ready))),
% 14.60/10.30 inference(transitivity,[status(thm)],[29400, 29398])).
% 14.60/10.30 tff(29402,plain,
% 14.60/10.30 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s367) | m_main_v_state(s368, c_ready) | (~node2(s367, s368)) | m_main_v_state(s368, c_busy))),
% 14.60/10.30 inference(quant_inst,[status(thm)],[])).
% 14.60/10.30 tff(29403,plain,
% 14.60/10.30 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s367, s368)) | m_main_v_state(s368, c_busy) | node1(s367) | m_main_v_state(s368, c_ready)),
% 14.60/10.30 inference(modus_ponens,[status(thm)],[29402, 29401])).
% 14.60/10.30 tff(29404,plain,
% 14.60/10.30 (m_main_v_state(s368, c_busy) | node1(s367) | m_main_v_state(s368, c_ready)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29403, 3551, 29371])).
% 14.60/10.30 tff(29405,plain,
% 14.60/10.30 (node1(s367)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29404, 29396, 29397])).
% 14.60/10.30 tff(29406,plain,
% 14.60/10.30 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s367, c_ready) | (~node1(s367)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s367, c_ready) | (~node1(s367)))),
% 14.60/10.30 inference(rewrite,[status(thm)],[])).
% 14.60/10.30 tff(29407,plain,
% 14.60/10.30 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s367, c_ready) | (~node1(s367)))),
% 14.60/10.30 inference(quant_inst,[status(thm)],[])).
% 14.60/10.30 tff(29408,plain,
% 14.60/10.30 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s367, c_ready) | (~node1(s367))),
% 14.60/10.30 inference(modus_ponens,[status(thm)],[29407, 29406])).
% 14.60/10.30 tff(29409,plain,
% 14.60/10.30 (m_main_v_state(s367, c_ready)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29408, 3581, 29405])).
% 14.60/10.30 tff(29410,plain,
% 14.60/10.30 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s367) | (~node1(s367)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s367) | (~node1(s367)))),
% 14.60/10.30 inference(rewrite,[status(thm)],[])).
% 14.60/10.30 tff(29411,plain,
% 14.60/10.30 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s367) | (~node1(s367)))),
% 14.60/10.30 inference(quant_inst,[status(thm)],[])).
% 14.60/10.30 tff(29412,plain,
% 14.60/10.30 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s367) | (~node1(s367))),
% 14.60/10.30 inference(modus_ponens,[status(thm)],[29411, 29410])).
% 14.60/10.30 tff(29413,plain,
% 14.60/10.30 (m_main_v_request(s367)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29412, 3568, 29405])).
% 14.60/10.30 tff(29414,plain,
% 14.60/10.30 ($false),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29375, 29413, 29409, 29396])).
% 14.60/10.30 tff(29415,plain,(m_main_v_state(s368, c_busy) | m_main_v_state(s368, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.30 tff(29416,plain,
% 14.60/10.30 (m_main_v_state(s368, c_ready)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29415, 29395])).
% 14.60/10.30 tff(29417,plain,
% 14.60/10.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s368, s369)) | node2(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s368, s369)) | node2(s368, s369))),
% 14.60/10.30 inference(rewrite,[status(thm)],[])).
% 14.60/10.30 tff(29418,plain,
% 14.60/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s368, s369)) | node2(s368, s369))),
% 14.60/10.30 inference(quant_inst,[status(thm)],[])).
% 14.60/10.30 tff(29419,plain,
% 14.60/10.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s368, s369)) | node2(s368, s369)),
% 14.60/10.30 inference(modus_ponens,[status(thm)],[29418, 29417])).
% 14.60/10.30 tff(29420,plain,
% 14.60/10.30 (node2(s368, s369)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29419, 7, 27006])).
% 14.60/10.30 tff(29421,plain,
% 14.60/10.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s368, c_ready)) | (~node2(s368, s369)) | m_main_v_state(s369, c_busy) | (~m_main_v_request(s368)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s368, c_ready)) | (~node2(s368, s369)) | m_main_v_state(s369, c_busy) | (~m_main_v_request(s368)))),
% 14.60/10.30 inference(rewrite,[status(thm)],[])).
% 14.60/10.30 tff(29422,plain,
% 14.60/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s368, c_ready)) | (~node2(s368, s369)) | m_main_v_state(s369, c_busy) | (~m_main_v_request(s368)))),
% 14.60/10.30 inference(quant_inst,[status(thm)],[])).
% 14.60/10.30 tff(29423,plain,
% 14.60/10.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s368, c_ready)) | (~node2(s368, s369)) | m_main_v_state(s369, c_busy) | (~m_main_v_request(s368))),
% 14.60/10.30 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 14.60/10.30 tff(29424,plain,
% 14.60/10.30 ((~m_main_v_state(s368, c_ready)) | m_main_v_state(s369, c_busy) | (~m_main_v_request(s368))),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29423, 73, 29420])).
% 14.60/10.30 tff(29425,plain,
% 14.60/10.30 ($false),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29424, 29416, 29394, 29385])).
% 14.60/10.30 tff(29426,plain,(~node4(s368)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.30 tff(29427,plain,
% 14.60/10.30 (xuntil6(s368) | (~until5(s368))),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[27021, 294, 29426])).
% 14.60/10.30 tff(29428,plain,
% 14.60/10.30 (xuntil6(s368)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29427, 29380])).
% 14.60/10.30 tff(29429,plain,
% 14.60/10.30 (until5(s369)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[27001, 29428])).
% 14.60/10.30 tff(29430,assumption,(until5(s369)), introduced(assumption)).
% 14.60/10.30 tff(29431,assumption,(~xuntil6(s371)), introduced(assumption)).
% 14.60/10.30 tff(29432,assumption,(~node4(s370)), introduced(assumption)).
% 14.60/10.30 tff(29433,assumption,(~always3(s371)), introduced(assumption)).
% 14.60/10.30 tff(29434,plain,
% 14.60/10.30 (~always3(s370)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26952, 29433])).
% 14.60/10.30 tff(29435,plain,
% 14.60/10.30 (~node4(s370)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26956, 36, 29434])).
% 14.60/10.30 tff(29436,plain,
% 14.60/10.30 (~node4(s371)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26927, 36, 29433])).
% 14.60/10.30 tff(29437,plain,
% 14.60/10.30 (node4(s371) | (~until5(s371))),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26934, 294, 29431])).
% 14.60/10.30 tff(29438,plain,
% 14.60/10.30 (~until5(s371)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29437, 29436])).
% 14.60/10.30 tff(29439,plain,
% 14.60/10.30 (~xuntil6(s370)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26943, 29438])).
% 14.60/10.30 tff(29440,plain,
% 14.60/10.30 (~always3(s369)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26981, 29434])).
% 14.60/10.30 tff(29441,plain,
% 14.60/10.30 (~node4(s369)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26985, 36, 29440])).
% 14.60/10.30 tff(29442,plain,
% 14.60/10.30 (xuntil6(s369) | node4(s369)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26992, 294, 29430])).
% 14.60/10.30 tff(29443,plain,
% 14.60/10.30 (xuntil6(s369)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29442, 29441])).
% 14.60/10.30 tff(29444,plain,
% 14.60/10.30 (until5(s370)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26972, 29443])).
% 14.60/10.30 tff(29445,plain,
% 14.60/10.30 ($false),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26963, 294, 29444, 29439, 29435])).
% 14.60/10.30 tff(29446,plain,(always3(s371) | (~until5(s369)) | xuntil6(s371)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.30 tff(29447,plain,
% 14.60/10.30 (always3(s371)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[29446, 29431, 29430])).
% 14.60/10.30 tff(29448,plain,
% 14.60/10.30 (always3(s372)),
% 14.60/10.30 inference(unit_resolution,[status(thm)],[26923, 29447])).
% 14.60/10.30 tff(29449,plain,
% 14.60/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s372)) | (~m_main_v_state(s372, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s372)) | (~m_main_v_state(s372, c_busy)))),
% 14.60/10.30 inference(rewrite,[status(thm)],[])).
% 14.60/10.30 tff(29450,plain,
% 14.60/10.30 (((~m_main_v_state(s372, c_busy)) | (~always3(s372))) <=> ((~always3(s372)) | (~m_main_v_state(s372, c_busy)))),
% 14.60/10.30 inference(rewrite,[status(thm)],[])).
% 14.60/10.30 tff(29451,plain,
% 14.60/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s372, c_busy)) | (~always3(s372)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s372)) | (~m_main_v_state(s372, c_busy))))),
% 14.60/10.30 inference(monotonicity,[status(thm)],[29450])).
% 14.60/10.30 tff(29452,plain,
% 14.60/10.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s372, c_busy)) | (~always3(s372)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s372)) | (~m_main_v_state(s372, c_busy)))),
% 14.60/10.31 inference(transitivity,[status(thm)],[29451, 29449])).
% 14.60/10.31 tff(29453,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s372, c_busy)) | (~always3(s372)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29454,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s372)) | (~m_main_v_state(s372, c_busy))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29453, 29452])).
% 14.60/10.31 tff(29455,plain,
% 14.60/10.31 (~m_main_v_state(s372, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29454, 85, 29448])).
% 14.60/10.31 tff(29456,assumption,(until5(s371)), introduced(assumption)).
% 14.60/10.31 tff(29457,plain,
% 14.60/10.31 (xuntil6(s371) | node4(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26934, 294, 29456])).
% 14.60/10.31 tff(29458,plain,
% 14.60/10.31 (node4(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29457, 29431])).
% 14.60/10.31 tff(29459,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s371) | (~node4(s371)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s371) | (~node4(s371)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29460,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s371) | (~node4(s371)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29461,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s371) | (~node4(s371))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29460, 29459])).
% 14.60/10.31 tff(29462,plain,
% 14.60/10.31 (m_main_v_request(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29461, 21, 29458])).
% 14.60/10.31 tff(29463,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s371, s372)) | node2(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s371, s372)) | node2(s371, s372))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29464,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s371, s372)) | node2(s371, s372))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29465,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s371, s372)) | node2(s371, s372)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29464, 29463])).
% 14.60/10.31 tff(29466,plain,
% 14.60/10.31 (node2(s371, s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29465, 7, 26919])).
% 14.60/10.31 tff(29467,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s371, c_ready)) | (~node2(s371, s372)) | m_main_v_state(s372, c_busy) | (~m_main_v_request(s371)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s371, c_ready)) | (~node2(s371, s372)) | m_main_v_state(s372, c_busy) | (~m_main_v_request(s371)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29468,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s371, c_ready)) | (~node2(s371, s372)) | m_main_v_state(s372, c_busy) | (~m_main_v_request(s371)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29469,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s371, c_ready)) | (~node2(s371, s372)) | m_main_v_state(s372, c_busy) | (~m_main_v_request(s371))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29468, 29467])).
% 14.60/10.31 tff(29470,plain,
% 14.60/10.31 ((~m_main_v_state(s371, c_ready)) | m_main_v_state(s372, c_busy) | (~m_main_v_request(s371))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29469, 73, 29466])).
% 14.60/10.31 tff(29471,plain,
% 14.60/10.31 (~m_main_v_state(s371, c_ready)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29470, 29462, 29455])).
% 14.60/10.31 tff(29472,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s371)) | (~m_main_v_state(s371, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s371)) | (~m_main_v_state(s371, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29473,plain,
% 14.60/10.31 (((~m_main_v_state(s371, c_busy)) | (~always3(s371))) <=> ((~always3(s371)) | (~m_main_v_state(s371, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29474,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s371, c_busy)) | (~always3(s371)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s371)) | (~m_main_v_state(s371, c_busy))))),
% 14.60/10.31 inference(monotonicity,[status(thm)],[29473])).
% 14.60/10.31 tff(29475,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s371, c_busy)) | (~always3(s371)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s371)) | (~m_main_v_state(s371, c_busy)))),
% 14.60/10.31 inference(transitivity,[status(thm)],[29474, 29472])).
% 14.60/10.31 tff(29476,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s371, c_busy)) | (~always3(s371)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29477,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s371)) | (~m_main_v_state(s371, c_busy))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29476, 29475])).
% 14.60/10.31 tff(29478,plain,
% 14.60/10.31 (~m_main_v_state(s371, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29477, 85, 29447])).
% 14.60/10.31 tff(29479,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s371, c_busy) | m_main_v_state(s371, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s371, c_busy) | m_main_v_state(s371, c_ready))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29480,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s371, c_busy) | m_main_v_state(s371, c_ready))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29481,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s371, c_busy) | m_main_v_state(s371, c_ready)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29480, 29479])).
% 14.60/10.31 tff(29482,plain,
% 14.60/10.31 ($false),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29481, 102, 29478, 29471])).
% 14.60/10.31 tff(29483,plain,(xuntil6(s371) | (~until5(s371)) | (~until5(s369))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.31 tff(29484,plain,
% 14.60/10.31 (~until5(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29483, 29430, 29431])).
% 14.60/10.31 tff(29485,plain,
% 14.60/10.31 (~xuntil6(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26943, 29484])).
% 14.60/10.31 tff(29486,assumption,(node4(s369)), introduced(assumption)).
% 14.60/10.31 tff(29487,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s369) | (~node4(s369)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s369) | (~node4(s369)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29488,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s369) | (~node4(s369)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29489,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s369) | (~node4(s369))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29488, 29487])).
% 14.60/10.31 tff(29490,plain,
% 14.60/10.31 (m_main_v_request(s369)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29489, 21, 29486])).
% 14.60/10.31 tff(29491,plain,
% 14.60/10.31 (always3(s369)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26985, 36, 29486])).
% 14.60/10.31 tff(29492,plain,
% 14.60/10.31 (always3(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26981, 29491])).
% 14.60/10.31 tff(29493,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s370)) | (~m_main_v_state(s370, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s370)) | (~m_main_v_state(s370, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29494,plain,
% 14.60/10.31 (((~m_main_v_state(s370, c_busy)) | (~always3(s370))) <=> ((~always3(s370)) | (~m_main_v_state(s370, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29495,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s370, c_busy)) | (~always3(s370)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s370)) | (~m_main_v_state(s370, c_busy))))),
% 14.60/10.31 inference(monotonicity,[status(thm)],[29494])).
% 14.60/10.31 tff(29496,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s370, c_busy)) | (~always3(s370)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s370)) | (~m_main_v_state(s370, c_busy)))),
% 14.60/10.31 inference(transitivity,[status(thm)],[29495, 29493])).
% 14.60/10.31 tff(29497,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s370, c_busy)) | (~always3(s370)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29498,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s370)) | (~m_main_v_state(s370, c_busy))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29497, 29496])).
% 14.60/10.31 tff(29499,plain,
% 14.60/10.31 (~m_main_v_state(s370, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29498, 85, 29492])).
% 14.60/10.31 tff(29500,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s369, s370)) | node2(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s369, s370)) | node2(s369, s370))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29501,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s369, s370)) | node2(s369, s370))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29502,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s369, s370)) | node2(s369, s370)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29501, 29500])).
% 14.60/10.31 tff(29503,plain,
% 14.60/10.31 (node2(s369, s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29502, 7, 26977])).
% 14.60/10.31 tff(29504,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s369, c_ready)) | (~node2(s369, s370)) | m_main_v_state(s370, c_busy) | (~m_main_v_request(s369)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s369, c_ready)) | (~node2(s369, s370)) | m_main_v_state(s370, c_busy) | (~m_main_v_request(s369)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29505,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s369, c_ready)) | (~node2(s369, s370)) | m_main_v_state(s370, c_busy) | (~m_main_v_request(s369)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29506,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s369, c_ready)) | (~node2(s369, s370)) | m_main_v_state(s370, c_busy) | (~m_main_v_request(s369))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29505, 29504])).
% 14.60/10.31 tff(29507,plain,
% 14.60/10.31 ((~m_main_v_state(s369, c_ready)) | m_main_v_state(s370, c_busy) | (~m_main_v_request(s369))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29506, 73, 29503])).
% 14.60/10.31 tff(29508,plain,
% 14.60/10.31 (~m_main_v_state(s369, c_ready)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29507, 29499, 29490])).
% 14.60/10.31 tff(29509,plain,
% 14.60/10.31 (~m_main_v_state(s369, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29393, 85, 29491])).
% 14.60/10.31 tff(29510,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s369, c_busy) | m_main_v_state(s369, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s369, c_busy) | m_main_v_state(s369, c_ready))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29511,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s369, c_busy) | m_main_v_state(s369, c_ready))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29512,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s369, c_busy) | m_main_v_state(s369, c_ready)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29511, 29510])).
% 14.60/10.31 tff(29513,plain,
% 14.60/10.31 ($false),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29512, 102, 29509, 29508])).
% 14.60/10.31 tff(29514,plain,(~node4(s369)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.31 tff(29515,plain,
% 14.60/10.31 (xuntil6(s369) | (~until5(s369))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26992, 294, 29514])).
% 14.60/10.31 tff(29516,plain,
% 14.60/10.31 (xuntil6(s369)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29515, 29430])).
% 14.60/10.31 tff(29517,plain,
% 14.60/10.31 (until5(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26972, 29516])).
% 14.60/10.31 tff(29518,plain,
% 14.60/10.31 ($false),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26963, 294, 29517, 29485, 29432])).
% 14.60/10.31 tff(29519,plain,((~until5(s369)) | node4(s370) | xuntil6(s371)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.31 tff(29520,plain,
% 14.60/10.31 (node4(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29519, 29431, 29430])).
% 14.60/10.31 tff(29521,assumption,(~m_main_v_state(s371, c_busy)), introduced(assumption)).
% 14.60/10.31 tff(29522,assumption,(node4(s370)), introduced(assumption)).
% 14.60/10.31 tff(29523,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s370) | (~node4(s370)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s370) | (~node4(s370)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29524,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s370) | (~node4(s370)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29525,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s370) | (~node4(s370))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29524, 29523])).
% 14.60/10.31 tff(29526,plain,
% 14.60/10.31 (m_main_v_request(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29525, 21, 29522])).
% 14.60/10.31 tff(29527,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s370, s371)) | node2(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s370, s371)) | node2(s370, s371))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29528,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s370, s371)) | node2(s370, s371))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29529,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s370, s371)) | node2(s370, s371)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29528, 29527])).
% 14.60/10.31 tff(29530,plain,
% 14.60/10.31 (node2(s370, s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29529, 7, 26948])).
% 14.60/10.31 tff(29531,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s370, c_ready)) | (~node2(s370, s371)) | m_main_v_state(s371, c_busy) | (~m_main_v_request(s370)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s370, c_ready)) | (~node2(s370, s371)) | m_main_v_state(s371, c_busy) | (~m_main_v_request(s370)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29532,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s370, c_ready)) | (~node2(s370, s371)) | m_main_v_state(s371, c_busy) | (~m_main_v_request(s370)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29533,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s370, c_ready)) | (~node2(s370, s371)) | m_main_v_state(s371, c_busy) | (~m_main_v_request(s370))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29532, 29531])).
% 14.60/10.31 tff(29534,plain,
% 14.60/10.31 ((~m_main_v_state(s370, c_ready)) | m_main_v_state(s371, c_busy) | (~m_main_v_request(s370))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29533, 73, 29530])).
% 14.60/10.31 tff(29535,plain,
% 14.60/10.31 (~m_main_v_state(s370, c_ready)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29534, 29526, 29521])).
% 14.60/10.31 tff(29536,plain,
% 14.60/10.31 (always3(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26956, 36, 29522])).
% 14.60/10.31 tff(29537,plain,
% 14.60/10.31 (~m_main_v_state(s370, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29498, 85, 29536])).
% 14.60/10.31 tff(29538,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s370, c_busy) | m_main_v_state(s370, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s370, c_busy) | m_main_v_state(s370, c_ready))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29539,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s370, c_busy) | m_main_v_state(s370, c_ready))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29540,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s370, c_busy) | m_main_v_state(s370, c_ready)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 14.60/10.31 tff(29541,plain,
% 14.60/10.31 ($false),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29540, 102, 29537, 29535])).
% 14.60/10.31 tff(29542,plain,((~node4(s370)) | m_main_v_state(s371, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.31 tff(29543,plain,
% 14.60/10.31 (m_main_v_state(s371, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29542, 29520])).
% 14.60/10.31 tff(29544,plain,
% 14.60/10.31 ($false),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29477, 85, 29447, 29543])).
% 14.60/10.31 tff(29545,plain,(xuntil6(s371) | (~until5(s369))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.31 tff(29546,plain,
% 14.60/10.31 (xuntil6(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29545, 29429])).
% 14.60/10.31 tff(29547,plain,
% 14.60/10.31 (until5(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26914, 29546])).
% 14.60/10.31 tff(29548,assumption,(~xuntil6(s375)), introduced(assumption)).
% 14.60/10.31 tff(29549,assumption,(~always3(s375)), introduced(assumption)).
% 14.60/10.31 tff(29550,plain,
% 14.60/10.31 (~always3(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26836, 29549])).
% 14.60/10.31 tff(29551,plain,
% 14.60/10.31 (~node4(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26840, 36, 29550])).
% 14.60/10.31 tff(29552,plain,
% 14.60/10.31 (~node4(s375)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26811, 36, 29549])).
% 14.60/10.31 tff(29553,plain,
% 14.60/10.31 (node4(s375) | (~until5(s375))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26818, 294, 29548])).
% 14.60/10.31 tff(29554,plain,
% 14.60/10.31 (~until5(s375)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29553, 29552])).
% 14.60/10.31 tff(29555,plain,
% 14.60/10.31 (~xuntil6(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26827, 29554])).
% 14.60/10.31 tff(29556,plain,
% 14.60/10.31 (~until5(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26847, 294, 29555, 29551])).
% 14.60/10.31 tff(29557,plain,
% 14.60/10.31 (~xuntil6(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26856, 29556])).
% 14.60/10.31 tff(29558,plain,
% 14.60/10.31 (~always3(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26865, 29550])).
% 14.60/10.31 tff(29559,plain,
% 14.60/10.31 (~node4(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26869, 36, 29558])).
% 14.60/10.31 tff(29560,plain,
% 14.60/10.31 (xuntil6(s373) | (~until5(s373))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26876, 294, 29559])).
% 14.60/10.31 tff(29561,plain,
% 14.60/10.31 (~until5(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29560, 29557])).
% 14.60/10.31 tff(29562,plain,
% 14.60/10.31 (~xuntil6(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26885, 29561])).
% 14.60/10.31 tff(29563,plain,
% 14.60/10.31 (~always3(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26894, 29558])).
% 14.60/10.31 tff(29564,plain,
% 14.60/10.31 (~always3(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26923, 29563])).
% 14.60/10.31 tff(29565,plain,
% 14.60/10.31 (~always3(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26952, 29564])).
% 14.60/10.31 tff(29566,plain,
% 14.60/10.31 (~node4(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26956, 36, 29565])).
% 14.60/10.31 tff(29567,plain,
% 14.60/10.31 (~always3(s369)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26981, 29565])).
% 14.60/10.31 tff(29568,plain,
% 14.60/10.31 (~node4(s369)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26985, 36, 29567])).
% 14.60/10.31 tff(29569,plain,
% 14.60/10.31 (xuntil6(s369)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29442, 29568])).
% 14.60/10.31 tff(29570,plain,
% 14.60/10.31 (until5(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26972, 29569])).
% 14.60/10.31 tff(29571,plain,
% 14.60/10.31 (xuntil6(s370)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26963, 294, 29570, 29566])).
% 14.60/10.31 tff(29572,plain,
% 14.60/10.31 (until5(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26943, 29571])).
% 14.60/10.31 tff(29573,plain,
% 14.60/10.31 (~node4(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26927, 36, 29564])).
% 14.60/10.31 tff(29574,plain,
% 14.60/10.31 (xuntil6(s371) | (~until5(s371))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26934, 294, 29573])).
% 14.60/10.31 tff(29575,plain,
% 14.60/10.31 (xuntil6(s371)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29574, 29572])).
% 14.60/10.31 tff(29576,plain,
% 14.60/10.31 (until5(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26914, 29575])).
% 14.60/10.31 tff(29577,plain,
% 14.60/10.31 (~node4(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26898, 36, 29563])).
% 14.60/10.31 tff(29578,plain,
% 14.60/10.31 (xuntil6(s372) | (~until5(s372))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26905, 294, 29577])).
% 14.60/10.31 tff(29579,plain,
% 14.60/10.31 ($false),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29578, 29576, 29562])).
% 14.60/10.31 tff(29580,plain,(always3(s375) | (~until5(s369)) | xuntil6(s375)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.31 tff(29581,plain,
% 14.60/10.31 (always3(s375)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29580, 29548, 29430])).
% 14.60/10.31 tff(29582,plain,
% 14.60/10.31 (always3(s376)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26807, 29581])).
% 14.60/10.31 tff(29583,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s376)) | (~m_main_v_state(s376, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s376)) | (~m_main_v_state(s376, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29584,plain,
% 14.60/10.31 (((~m_main_v_state(s376, c_busy)) | (~always3(s376))) <=> ((~always3(s376)) | (~m_main_v_state(s376, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29585,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s376, c_busy)) | (~always3(s376)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s376)) | (~m_main_v_state(s376, c_busy))))),
% 14.60/10.31 inference(monotonicity,[status(thm)],[29584])).
% 14.60/10.31 tff(29586,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s376, c_busy)) | (~always3(s376)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s376)) | (~m_main_v_state(s376, c_busy)))),
% 14.60/10.31 inference(transitivity,[status(thm)],[29585, 29583])).
% 14.60/10.31 tff(29587,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s376, c_busy)) | (~always3(s376)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29588,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s376)) | (~m_main_v_state(s376, c_busy))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29587, 29586])).
% 14.60/10.31 tff(29589,plain,
% 14.60/10.31 (~m_main_v_state(s376, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29588, 85, 29582])).
% 14.60/10.31 tff(29590,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s375)) | (~m_main_v_state(s375, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s375)) | (~m_main_v_state(s375, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29591,plain,
% 14.60/10.31 (((~m_main_v_state(s375, c_busy)) | (~always3(s375))) <=> ((~always3(s375)) | (~m_main_v_state(s375, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29592,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s375, c_busy)) | (~always3(s375)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s375)) | (~m_main_v_state(s375, c_busy))))),
% 14.60/10.31 inference(monotonicity,[status(thm)],[29591])).
% 14.60/10.31 tff(29593,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s375, c_busy)) | (~always3(s375)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s375)) | (~m_main_v_state(s375, c_busy)))),
% 14.60/10.31 inference(transitivity,[status(thm)],[29592, 29590])).
% 14.60/10.31 tff(29594,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s375, c_busy)) | (~always3(s375)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29595,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s375)) | (~m_main_v_state(s375, c_busy))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29594, 29593])).
% 14.60/10.31 tff(29596,plain,
% 14.60/10.31 (~m_main_v_state(s375, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29595, 85, 29581])).
% 14.60/10.31 tff(29597,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s375, c_busy) | m_main_v_state(s375, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s375, c_busy) | m_main_v_state(s375, c_ready))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29598,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s375, c_busy) | m_main_v_state(s375, c_ready))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29599,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s375, c_busy) | m_main_v_state(s375, c_ready)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29598, 29597])).
% 14.60/10.31 tff(29600,plain,
% 14.60/10.31 (m_main_v_state(s375, c_ready)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29599, 102, 29596])).
% 14.60/10.31 tff(29601,assumption,(until5(s372)), introduced(assumption)).
% 14.60/10.31 tff(29602,assumption,(~m_main_v_state(s375, c_busy)), introduced(assumption)).
% 14.60/10.31 tff(29603,assumption,(~xuntil6(s374)), introduced(assumption)).
% 14.60/10.31 tff(29604,assumption,(~always3(s374)), introduced(assumption)).
% 14.60/10.31 tff(29605,plain,
% 14.60/10.31 (~always3(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26865, 29604])).
% 14.60/10.31 tff(29606,plain,
% 14.60/10.31 (~node4(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26869, 36, 29605])).
% 14.60/10.31 tff(29607,plain,
% 14.60/10.31 (~always3(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26894, 29605])).
% 14.60/10.31 tff(29608,plain,
% 14.60/10.31 (~node4(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26898, 36, 29607])).
% 14.60/10.31 tff(29609,plain,
% 14.60/10.31 (xuntil6(s372) | node4(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26905, 294, 29601])).
% 14.60/10.31 tff(29610,plain,
% 14.60/10.31 (xuntil6(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29609, 29608])).
% 14.60/10.31 tff(29611,plain,
% 14.60/10.31 (until5(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26885, 29610])).
% 14.60/10.31 tff(29612,plain,
% 14.60/10.31 (xuntil6(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26876, 294, 29611, 29606])).
% 14.60/10.31 tff(29613,plain,
% 14.60/10.31 (until5(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26856, 29612])).
% 14.60/10.31 tff(29614,plain,
% 14.60/10.31 (node4(s374) | (~until5(s374))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26847, 294, 29603])).
% 14.60/10.31 tff(29615,plain,
% 14.60/10.31 (node4(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29614, 29613])).
% 14.60/10.31 tff(29616,plain,
% 14.60/10.31 ($false),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26840, 36, 29604, 29615])).
% 14.60/10.31 tff(29617,plain,(always3(s374) | xuntil6(s374) | (~until5(s372))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.31 tff(29618,plain,
% 14.60/10.31 (always3(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29617, 29601, 29603])).
% 14.60/10.31 tff(29619,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s374)) | (~m_main_v_state(s374, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s374)) | (~m_main_v_state(s374, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29620,plain,
% 14.60/10.31 (((~m_main_v_state(s374, c_busy)) | (~always3(s374))) <=> ((~always3(s374)) | (~m_main_v_state(s374, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29621,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s374, c_busy)) | (~always3(s374)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s374)) | (~m_main_v_state(s374, c_busy))))),
% 14.60/10.31 inference(monotonicity,[status(thm)],[29620])).
% 14.60/10.31 tff(29622,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s374, c_busy)) | (~always3(s374)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s374)) | (~m_main_v_state(s374, c_busy)))),
% 14.60/10.31 inference(transitivity,[status(thm)],[29621, 29619])).
% 14.60/10.31 tff(29623,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s374, c_busy)) | (~always3(s374)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29624,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s374)) | (~m_main_v_state(s374, c_busy))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29623, 29622])).
% 14.60/10.31 tff(29625,plain,
% 14.60/10.31 (~m_main_v_state(s374, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29624, 85, 29618])).
% 14.60/10.31 tff(29626,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s374, c_busy) | m_main_v_state(s374, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s374, c_busy) | m_main_v_state(s374, c_ready))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29627,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s374, c_busy) | m_main_v_state(s374, c_ready))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29628,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s374, c_busy) | m_main_v_state(s374, c_ready)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29627, 29626])).
% 14.60/10.31 tff(29629,plain,
% 14.60/10.31 (m_main_v_state(s374, c_ready)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29628, 102, 29625])).
% 14.60/10.31 tff(29630,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s374, s375)) | node2(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s374, s375)) | node2(s374, s375))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29631,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s374, s375)) | node2(s374, s375))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29632,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s374, s375)) | node2(s374, s375)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29631, 29630])).
% 14.60/10.31 tff(29633,plain,
% 14.60/10.31 (node2(s374, s375)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29632, 7, 26832])).
% 14.60/10.31 tff(29634,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s374, c_ready)) | (~node2(s374, s375)) | m_main_v_state(s375, c_busy) | (~m_main_v_request(s374)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s374, c_ready)) | (~node2(s374, s375)) | m_main_v_state(s375, c_busy) | (~m_main_v_request(s374)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29635,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s374, c_ready)) | (~node2(s374, s375)) | m_main_v_state(s375, c_busy) | (~m_main_v_request(s374)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29636,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s374, c_ready)) | (~node2(s374, s375)) | m_main_v_state(s375, c_busy) | (~m_main_v_request(s374))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29635, 29634])).
% 14.60/10.31 tff(29637,plain,
% 14.60/10.31 ((~m_main_v_state(s374, c_ready)) | m_main_v_state(s375, c_busy) | (~m_main_v_request(s374))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29636, 73, 29633])).
% 14.60/10.31 tff(29638,plain,
% 14.60/10.31 (~m_main_v_request(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29637, 29629, 29602])).
% 14.60/10.31 tff(29639,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s374) | (~node4(s374)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s374) | (~node4(s374)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29640,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s374) | (~node4(s374)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29641,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s374) | (~node4(s374))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29640, 29639])).
% 14.60/10.31 tff(29642,plain,
% 14.60/10.31 (~node4(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29641, 21, 29638])).
% 14.60/10.31 tff(29643,plain,
% 14.60/10.31 (~until5(s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29614, 29642])).
% 14.60/10.31 tff(29644,plain,
% 14.60/10.31 (~xuntil6(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26856, 29643])).
% 14.60/10.31 tff(29645,assumption,(~always3(s373)), introduced(assumption)).
% 14.60/10.31 tff(29646,plain,
% 14.60/10.31 (~always3(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26894, 29645])).
% 14.60/10.31 tff(29647,plain,
% 14.60/10.31 (~node4(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26898, 36, 29646])).
% 14.60/10.31 tff(29648,plain,
% 14.60/10.31 (xuntil6(s372)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29609, 29647])).
% 14.60/10.31 tff(29649,plain,
% 14.60/10.31 (until5(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26885, 29648])).
% 14.60/10.31 tff(29650,assumption,(~xuntil6(s373)), introduced(assumption)).
% 14.60/10.31 tff(29651,plain,
% 14.60/10.31 (node4(s373) | (~until5(s373))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26876, 294, 29650])).
% 14.60/10.31 tff(29652,plain,
% 14.60/10.31 (node4(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29651, 29649])).
% 14.60/10.31 tff(29653,plain,
% 14.60/10.31 ($false),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[26869, 36, 29645, 29652])).
% 14.60/10.31 tff(29654,plain,(always3(s373) | xuntil6(s373) | (~until5(s372))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.31 tff(29655,plain,
% 14.60/10.31 (always3(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29654, 29644, 29601])).
% 14.60/10.31 tff(29656,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s373)) | (~m_main_v_state(s373, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s373)) | (~m_main_v_state(s373, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29657,plain,
% 14.60/10.31 (((~m_main_v_state(s373, c_busy)) | (~always3(s373))) <=> ((~always3(s373)) | (~m_main_v_state(s373, c_busy)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29658,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s373, c_busy)) | (~always3(s373)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s373)) | (~m_main_v_state(s373, c_busy))))),
% 14.60/10.31 inference(monotonicity,[status(thm)],[29657])).
% 14.60/10.31 tff(29659,plain,
% 14.60/10.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s373, c_busy)) | (~always3(s373)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s373)) | (~m_main_v_state(s373, c_busy)))),
% 14.60/10.31 inference(transitivity,[status(thm)],[29658, 29656])).
% 14.60/10.31 tff(29660,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s373, c_busy)) | (~always3(s373)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29661,plain,
% 14.60/10.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s373)) | (~m_main_v_state(s373, c_busy))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29660, 29659])).
% 14.60/10.31 tff(29662,plain,
% 14.60/10.31 (~m_main_v_state(s373, c_busy)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29661, 85, 29655])).
% 14.60/10.31 tff(29663,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s373, c_busy) | m_main_v_state(s373, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s373, c_busy) | m_main_v_state(s373, c_ready))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29664,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s373, c_busy) | m_main_v_state(s373, c_ready))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29665,plain,
% 14.60/10.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s373, c_busy) | m_main_v_state(s373, c_ready)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29664, 29663])).
% 14.60/10.31 tff(29666,plain,
% 14.60/10.31 (m_main_v_state(s373, c_ready)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29665, 102, 29662])).
% 14.60/10.31 tff(29667,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s373, s374)) | node2(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s373, s374)) | node2(s373, s374))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29668,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s373, s374)) | node2(s373, s374))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29669,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s373, s374)) | node2(s373, s374)),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29668, 29667])).
% 14.60/10.31 tff(29670,plain,
% 14.60/10.31 (node2(s373, s374)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29669, 7, 26861])).
% 14.60/10.31 tff(29671,plain,
% 14.60/10.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s373, c_ready)) | (~node2(s373, s374)) | m_main_v_state(s374, c_busy) | (~m_main_v_request(s373)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s373, c_ready)) | (~node2(s373, s374)) | m_main_v_state(s374, c_busy) | (~m_main_v_request(s373)))),
% 14.60/10.31 inference(rewrite,[status(thm)],[])).
% 14.60/10.31 tff(29672,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s373, c_ready)) | (~node2(s373, s374)) | m_main_v_state(s374, c_busy) | (~m_main_v_request(s373)))),
% 14.60/10.31 inference(quant_inst,[status(thm)],[])).
% 14.60/10.31 tff(29673,plain,
% 14.60/10.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s373, c_ready)) | (~node2(s373, s374)) | m_main_v_state(s374, c_busy) | (~m_main_v_request(s373))),
% 14.60/10.31 inference(modus_ponens,[status(thm)],[29672, 29671])).
% 14.60/10.31 tff(29674,plain,
% 14.60/10.31 ((~m_main_v_state(s373, c_ready)) | m_main_v_state(s374, c_busy) | (~m_main_v_request(s373))),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29673, 73, 29670])).
% 14.60/10.31 tff(29675,plain,
% 14.60/10.31 (~m_main_v_request(s373)),
% 14.60/10.31 inference(unit_resolution,[status(thm)],[29674, 29666, 29625])).
% 14.60/10.31 tff(29676,plain,
% 14.60/10.31 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s373) | (~node4(s373)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s373) | (~node4(s373)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29677,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s373) | (~node4(s373)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29678,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s373) | (~node4(s373))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29677, 29676])).
% 14.60/10.32 tff(29679,plain,
% 14.60/10.32 (~node4(s373)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29678, 21, 29675])).
% 14.60/10.32 tff(29680,plain,
% 14.60/10.32 (node4(s373) | (~until5(s373))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26876, 294, 29644])).
% 14.60/10.32 tff(29681,plain,
% 14.60/10.32 (~until5(s373)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29680, 29679])).
% 14.60/10.32 tff(29682,plain,
% 14.60/10.32 (~xuntil6(s372)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26885, 29681])).
% 14.60/10.32 tff(29683,plain,
% 14.60/10.32 (node4(s372)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29609, 29682])).
% 14.60/10.32 tff(29684,plain,
% 14.60/10.32 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s372) | (~node4(s372)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s372) | (~node4(s372)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29685,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s372) | (~node4(s372)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29686,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s372) | (~node4(s372))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29685, 29684])).
% 14.60/10.32 tff(29687,plain,
% 14.60/10.32 (m_main_v_request(s372)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29686, 21, 29683])).
% 14.60/10.32 tff(29688,plain,
% 14.60/10.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s372, s373)) | node2(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s372, s373)) | node2(s372, s373))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29689,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s372, s373)) | node2(s372, s373))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29690,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s372, s373)) | node2(s372, s373)),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29689, 29688])).
% 14.60/10.32 tff(29691,plain,
% 14.60/10.32 (node2(s372, s373)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29690, 7, 26890])).
% 14.60/10.32 tff(29692,plain,
% 14.60/10.32 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s372, c_ready)) | (~node2(s372, s373)) | m_main_v_state(s373, c_busy) | (~m_main_v_request(s372)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s372, c_ready)) | (~node2(s372, s373)) | m_main_v_state(s373, c_busy) | (~m_main_v_request(s372)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29693,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s372, c_ready)) | (~node2(s372, s373)) | m_main_v_state(s373, c_busy) | (~m_main_v_request(s372)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29694,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s372, c_ready)) | (~node2(s372, s373)) | m_main_v_state(s373, c_busy) | (~m_main_v_request(s372))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29693, 29692])).
% 14.60/10.32 tff(29695,plain,
% 14.60/10.32 ((~m_main_v_state(s372, c_ready)) | m_main_v_state(s373, c_busy) | (~m_main_v_request(s372))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29694, 73, 29691])).
% 14.60/10.32 tff(29696,plain,
% 14.60/10.32 (~m_main_v_state(s372, c_ready)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29695, 29687, 29662])).
% 14.60/10.32 tff(29697,plain,
% 14.60/10.32 (always3(s372)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26898, 36, 29683])).
% 14.60/10.32 tff(29698,plain,
% 14.60/10.32 (~m_main_v_state(s372, c_busy)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29454, 85, 29697])).
% 14.60/10.32 tff(29699,plain,
% 14.60/10.32 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s372, c_busy) | m_main_v_state(s372, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s372, c_busy) | m_main_v_state(s372, c_ready))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29700,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s372, c_busy) | m_main_v_state(s372, c_ready))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29701,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s372, c_busy) | m_main_v_state(s372, c_ready)),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 14.60/10.32 tff(29702,plain,
% 14.60/10.32 ($false),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29701, 102, 29698, 29696])).
% 14.60/10.32 tff(29703,plain,((~until5(s372)) | xuntil6(s374) | m_main_v_state(s375, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.32 tff(29704,plain,
% 14.60/10.32 (xuntil6(s374)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29703, 29596, 29601])).
% 14.60/10.32 tff(29705,plain,
% 14.60/10.32 (until5(s375)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26827, 29704])).
% 14.60/10.32 tff(29706,plain,
% 14.60/10.32 (node4(s375)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29553, 29705])).
% 14.60/10.32 tff(29707,plain,
% 14.60/10.32 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s375) | (~node4(s375)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s375) | (~node4(s375)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29708,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s375) | (~node4(s375)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29709,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s375) | (~node4(s375))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 14.60/10.32 tff(29710,plain,
% 14.60/10.32 (m_main_v_request(s375)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29709, 21, 29706])).
% 14.60/10.32 tff(29711,plain,
% 14.60/10.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s375, s376)) | node2(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s375, s376)) | node2(s375, s376))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29712,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s375, s376)) | node2(s375, s376))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29713,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s375, s376)) | node2(s375, s376)),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29712, 29711])).
% 14.60/10.32 tff(29714,plain,
% 14.60/10.32 (node2(s375, s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29713, 7, 26803])).
% 14.60/10.32 tff(29715,plain,
% 14.60/10.32 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s375, c_ready)) | (~node2(s375, s376)) | m_main_v_state(s376, c_busy) | (~m_main_v_request(s375)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s375, c_ready)) | (~node2(s375, s376)) | m_main_v_state(s376, c_busy) | (~m_main_v_request(s375)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29716,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s375, c_ready)) | (~node2(s375, s376)) | m_main_v_state(s376, c_busy) | (~m_main_v_request(s375)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29717,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s375, c_ready)) | (~node2(s375, s376)) | m_main_v_state(s376, c_busy) | (~m_main_v_request(s375))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 14.60/10.32 tff(29718,plain,
% 14.60/10.32 ((~m_main_v_state(s375, c_ready)) | m_main_v_state(s376, c_busy) | (~m_main_v_request(s375))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29717, 73, 29714])).
% 14.60/10.32 tff(29719,plain,
% 14.60/10.32 ($false),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29718, 29710, 29600, 29589])).
% 14.60/10.32 tff(29720,plain,(xuntil6(s375) | (~until5(s372)) | (~until5(s369))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.32 tff(29721,plain,
% 14.60/10.32 (xuntil6(s375)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29720, 29547, 29429])).
% 14.60/10.32 tff(29722,plain,
% 14.60/10.32 (until5(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26798, 29721])).
% 14.60/10.32 tff(29723,assumption,(until5(s376)), introduced(assumption)).
% 14.60/10.32 tff(29724,assumption,(~xuntil6(s377)), introduced(assumption)).
% 14.60/10.32 tff(29725,assumption,(~always3(s377)), introduced(assumption)).
% 14.60/10.32 tff(29726,plain,
% 14.60/10.32 (~node4(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26753, 36, 29725])).
% 14.60/10.32 tff(29727,plain,
% 14.60/10.32 (node4(s377) | (~until5(s377))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26760, 294, 29724])).
% 14.60/10.32 tff(29728,plain,
% 14.60/10.32 (~until5(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29727, 29726])).
% 14.60/10.32 tff(29729,plain,
% 14.60/10.32 (~always3(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26778, 29725])).
% 14.60/10.32 tff(29730,plain,
% 14.60/10.32 (~node4(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26782, 36, 29729])).
% 14.60/10.32 tff(29731,plain,
% 14.60/10.32 (xuntil6(s376) | node4(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26789, 294, 29723])).
% 14.60/10.32 tff(29732,plain,
% 14.60/10.32 (xuntil6(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29731, 29730])).
% 14.60/10.32 tff(29733,plain,
% 14.60/10.32 ($false),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26769, 29732, 29728])).
% 14.60/10.32 tff(29734,plain,(always3(s377) | (~until5(s376)) | xuntil6(s377)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.32 tff(29735,plain,
% 14.60/10.32 (always3(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29734, 29724, 29723])).
% 14.60/10.32 tff(29736,plain,
% 14.60/10.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s377)) | (~m_main_v_state(s377, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s377)) | (~m_main_v_state(s377, c_busy)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29737,plain,
% 14.60/10.32 (((~m_main_v_state(s377, c_busy)) | (~always3(s377))) <=> ((~always3(s377)) | (~m_main_v_state(s377, c_busy)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29738,plain,
% 14.60/10.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s377, c_busy)) | (~always3(s377)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s377)) | (~m_main_v_state(s377, c_busy))))),
% 14.60/10.32 inference(monotonicity,[status(thm)],[29737])).
% 14.60/10.32 tff(29739,plain,
% 14.60/10.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s377, c_busy)) | (~always3(s377)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s377)) | (~m_main_v_state(s377, c_busy)))),
% 14.60/10.32 inference(transitivity,[status(thm)],[29738, 29736])).
% 14.60/10.32 tff(29740,plain,
% 14.60/10.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s377, c_busy)) | (~always3(s377)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29741,plain,
% 14.60/10.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s377)) | (~m_main_v_state(s377, c_busy))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29740, 29739])).
% 14.60/10.32 tff(29742,plain,
% 14.60/10.32 (~m_main_v_state(s377, c_busy)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29741, 85, 29735])).
% 14.60/10.32 tff(29743,plain,
% 14.60/10.32 (always3(s378)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26749, 29735])).
% 14.60/10.32 tff(29744,plain,
% 14.60/10.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s378)) | (~m_main_v_state(s378, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s378)) | (~m_main_v_state(s378, c_busy)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29745,plain,
% 14.60/10.32 (((~m_main_v_state(s378, c_busy)) | (~always3(s378))) <=> ((~always3(s378)) | (~m_main_v_state(s378, c_busy)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29746,plain,
% 14.60/10.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s378, c_busy)) | (~always3(s378)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s378)) | (~m_main_v_state(s378, c_busy))))),
% 14.60/10.32 inference(monotonicity,[status(thm)],[29745])).
% 14.60/10.32 tff(29747,plain,
% 14.60/10.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s378, c_busy)) | (~always3(s378)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s378)) | (~m_main_v_state(s378, c_busy)))),
% 14.60/10.32 inference(transitivity,[status(thm)],[29746, 29744])).
% 14.60/10.32 tff(29748,plain,
% 14.60/10.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s378, c_busy)) | (~always3(s378)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29749,plain,
% 14.60/10.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s378)) | (~m_main_v_state(s378, c_busy))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29748, 29747])).
% 14.60/10.32 tff(29750,plain,
% 14.60/10.32 (~m_main_v_state(s378, c_busy)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29749, 85, 29743])).
% 14.60/10.32 tff(29751,plain,
% 14.60/10.32 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s377, c_busy) | m_main_v_state(s377, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s377, c_busy) | m_main_v_state(s377, c_ready))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29752,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s377, c_busy) | m_main_v_state(s377, c_ready))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29753,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s377, c_busy) | m_main_v_state(s377, c_ready)),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29752, 29751])).
% 14.60/10.32 tff(29754,plain,
% 14.60/10.32 (m_main_v_state(s377, c_ready)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29753, 102, 29742])).
% 14.60/10.32 tff(29755,plain,
% 14.60/10.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s377, s378)) | node2(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s377, s378)) | node2(s377, s378))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29756,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s377, s378)) | node2(s377, s378))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29757,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s377, s378)) | node2(s377, s378)),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29756, 29755])).
% 14.60/10.32 tff(29758,plain,
% 14.60/10.32 (node2(s377, s378)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29757, 7, 26745])).
% 14.60/10.32 tff(29759,plain,
% 14.60/10.32 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s377, c_ready)) | (~node2(s377, s378)) | m_main_v_state(s378, c_busy) | (~m_main_v_request(s377)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s377, c_ready)) | (~node2(s377, s378)) | m_main_v_state(s378, c_busy) | (~m_main_v_request(s377)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29760,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s377, c_ready)) | (~node2(s377, s378)) | m_main_v_state(s378, c_busy) | (~m_main_v_request(s377)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29761,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s377, c_ready)) | (~node2(s377, s378)) | m_main_v_state(s378, c_busy) | (~m_main_v_request(s377))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29760, 29759])).
% 14.60/10.32 tff(29762,plain,
% 14.60/10.32 ((~m_main_v_state(s377, c_ready)) | m_main_v_state(s378, c_busy) | (~m_main_v_request(s377))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29761, 73, 29758])).
% 14.60/10.32 tff(29763,plain,
% 14.60/10.32 (~m_main_v_request(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29762, 29754, 29750])).
% 14.60/10.32 tff(29764,plain,
% 14.60/10.32 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s377) | (~node4(s377)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s377) | (~node4(s377)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29765,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s377) | (~node4(s377)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29766,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s377) | (~node4(s377))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29765, 29764])).
% 14.60/10.32 tff(29767,plain,
% 14.60/10.32 (~node4(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29766, 21, 29763])).
% 14.60/10.32 tff(29768,plain,
% 14.60/10.32 (~until5(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29727, 29767])).
% 14.60/10.32 tff(29769,plain,
% 14.60/10.32 (~xuntil6(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26769, 29768])).
% 14.60/10.32 tff(29770,plain,
% 14.60/10.32 (node4(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29731, 29769])).
% 14.60/10.32 tff(29771,plain,
% 14.60/10.32 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s376) | (~node4(s376)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s376) | (~node4(s376)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29772,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s376) | (~node4(s376)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29773,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s376) | (~node4(s376))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29772, 29771])).
% 14.60/10.32 tff(29774,plain,
% 14.60/10.32 (m_main_v_request(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29773, 21, 29770])).
% 14.60/10.32 tff(29775,plain,
% 14.60/10.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s376, s377)) | node2(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s376, s377)) | node2(s376, s377))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29776,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s376, s377)) | node2(s376, s377))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29777,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s376, s377)) | node2(s376, s377)),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29776, 29775])).
% 14.60/10.32 tff(29778,plain,
% 14.60/10.32 (node2(s376, s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29777, 7, 26774])).
% 14.60/10.32 tff(29779,plain,
% 14.60/10.32 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s376, c_ready)) | (~node2(s376, s377)) | m_main_v_state(s377, c_busy) | (~m_main_v_request(s376)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s376, c_ready)) | (~node2(s376, s377)) | m_main_v_state(s377, c_busy) | (~m_main_v_request(s376)))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29780,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s376, c_ready)) | (~node2(s376, s377)) | m_main_v_state(s377, c_busy) | (~m_main_v_request(s376)))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29781,plain,
% 14.60/10.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s376, c_ready)) | (~node2(s376, s377)) | m_main_v_state(s377, c_busy) | (~m_main_v_request(s376))),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29780, 29779])).
% 14.60/10.32 tff(29782,plain,
% 14.60/10.32 ((~m_main_v_state(s376, c_ready)) | m_main_v_state(s377, c_busy) | (~m_main_v_request(s376))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29781, 73, 29778])).
% 14.60/10.32 tff(29783,plain,
% 14.60/10.32 (~m_main_v_state(s376, c_ready)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29782, 29774, 29742])).
% 14.60/10.32 tff(29784,plain,
% 14.60/10.32 (always3(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26782, 36, 29770])).
% 14.60/10.32 tff(29785,plain,
% 14.60/10.32 (~m_main_v_state(s376, c_busy)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29588, 85, 29784])).
% 14.60/10.32 tff(29786,plain,
% 14.60/10.32 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s376, c_busy) | m_main_v_state(s376, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s376, c_busy) | m_main_v_state(s376, c_ready))),
% 14.60/10.32 inference(rewrite,[status(thm)],[])).
% 14.60/10.32 tff(29787,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s376, c_busy) | m_main_v_state(s376, c_ready))),
% 14.60/10.32 inference(quant_inst,[status(thm)],[])).
% 14.60/10.32 tff(29788,plain,
% 14.60/10.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s376, c_busy) | m_main_v_state(s376, c_ready)),
% 14.60/10.32 inference(modus_ponens,[status(thm)],[29787, 29786])).
% 14.60/10.32 tff(29789,plain,
% 14.60/10.32 ($false),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29788, 102, 29785, 29783])).
% 14.60/10.32 tff(29790,plain,(xuntil6(s377) | (~until5(s376))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.32 tff(29791,plain,
% 14.60/10.32 (xuntil6(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29790, 29722])).
% 14.60/10.32 tff(29792,plain,
% 14.60/10.32 (until5(s378)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26740, 29791])).
% 14.60/10.32 tff(29793,assumption,(~xuntil6(s388)), introduced(assumption)).
% 14.60/10.32 tff(29794,assumption,(~always3(s388)), introduced(assumption)).
% 14.60/10.32 tff(29795,plain,
% 14.60/10.32 (~always3(s387)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26459, 29794])).
% 14.60/10.32 tff(29796,plain,
% 14.60/10.32 (~node4(s387)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26463, 36, 29795])).
% 14.60/10.32 tff(29797,plain,
% 14.60/10.32 (~node4(s388)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26434, 36, 29794])).
% 14.60/10.32 tff(29798,plain,
% 14.60/10.32 (node4(s388) | (~until5(s388))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26441, 294, 29793])).
% 14.60/10.32 tff(29799,plain,
% 14.60/10.32 (~until5(s388)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29798, 29797])).
% 14.60/10.32 tff(29800,plain,
% 14.60/10.32 (~xuntil6(s387)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26450, 29799])).
% 14.60/10.32 tff(29801,plain,
% 14.60/10.32 (~until5(s387)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26470, 294, 29800, 29796])).
% 14.60/10.32 tff(29802,plain,
% 14.60/10.32 (~xuntil6(s386)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26479, 29801])).
% 14.60/10.32 tff(29803,plain,
% 14.60/10.32 (~always3(s386)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26488, 29795])).
% 14.60/10.32 tff(29804,plain,
% 14.60/10.32 (~node4(s386)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26492, 36, 29803])).
% 14.60/10.32 tff(29805,plain,
% 14.60/10.32 (xuntil6(s386) | (~until5(s386))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26499, 294, 29804])).
% 14.60/10.32 tff(29806,plain,
% 14.60/10.32 (~until5(s386)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29805, 29802])).
% 14.60/10.32 tff(29807,plain,
% 14.60/10.32 (~xuntil6(s385)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26508, 29806])).
% 14.60/10.32 tff(29808,plain,
% 14.60/10.32 (~always3(s385)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26517, 29803])).
% 14.60/10.32 tff(29809,plain,
% 14.60/10.32 (~node4(s385)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26521, 36, 29808])).
% 14.60/10.32 tff(29810,plain,
% 14.60/10.32 (xuntil6(s385) | (~until5(s385))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26528, 294, 29809])).
% 14.60/10.32 tff(29811,plain,
% 14.60/10.32 (~until5(s385)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29810, 29807])).
% 14.60/10.32 tff(29812,plain,
% 14.60/10.32 (~xuntil6(s384)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26537, 29811])).
% 14.60/10.32 tff(29813,plain,
% 14.60/10.32 (~always3(s384)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26546, 29808])).
% 14.60/10.32 tff(29814,plain,
% 14.60/10.32 (~node4(s384)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26550, 36, 29813])).
% 14.60/10.32 tff(29815,plain,
% 14.60/10.32 (xuntil6(s384) | (~until5(s384))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26557, 294, 29814])).
% 14.60/10.32 tff(29816,plain,
% 14.60/10.32 (~until5(s384)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29815, 29812])).
% 14.60/10.32 tff(29817,plain,
% 14.60/10.32 (~xuntil6(s383)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26566, 29816])).
% 14.60/10.32 tff(29818,plain,
% 14.60/10.32 (~always3(s383)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26575, 29813])).
% 14.60/10.32 tff(29819,plain,
% 14.60/10.32 (~node4(s383)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26579, 36, 29818])).
% 14.60/10.32 tff(29820,plain,
% 14.60/10.32 (xuntil6(s383) | (~until5(s383))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26586, 294, 29819])).
% 14.60/10.32 tff(29821,plain,
% 14.60/10.32 (~until5(s383)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29820, 29817])).
% 14.60/10.32 tff(29822,plain,
% 14.60/10.32 (~xuntil6(s382)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26595, 29821])).
% 14.60/10.32 tff(29823,plain,
% 14.60/10.32 (~always3(s382)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26604, 29818])).
% 14.60/10.32 tff(29824,plain,
% 14.60/10.32 (~node4(s382)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26608, 36, 29823])).
% 14.60/10.32 tff(29825,plain,
% 14.60/10.32 (xuntil6(s382) | (~until5(s382))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26615, 294, 29824])).
% 14.60/10.32 tff(29826,plain,
% 14.60/10.32 (~until5(s382)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29825, 29822])).
% 14.60/10.32 tff(29827,plain,
% 14.60/10.32 (~xuntil6(s381)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26624, 29826])).
% 14.60/10.32 tff(29828,plain,
% 14.60/10.32 (~always3(s381)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26633, 29823])).
% 14.60/10.32 tff(29829,plain,
% 14.60/10.32 (~node4(s381)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26637, 36, 29828])).
% 14.60/10.32 tff(29830,plain,
% 14.60/10.32 (xuntil6(s381) | (~until5(s381))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26644, 294, 29829])).
% 14.60/10.32 tff(29831,plain,
% 14.60/10.32 (~until5(s381)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29830, 29827])).
% 14.60/10.32 tff(29832,plain,
% 14.60/10.32 (~xuntil6(s380)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26653, 29831])).
% 14.60/10.32 tff(29833,plain,
% 14.60/10.32 (~always3(s380)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26662, 29828])).
% 14.60/10.32 tff(29834,plain,
% 14.60/10.32 (~node4(s380)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26666, 36, 29833])).
% 14.60/10.32 tff(29835,plain,
% 14.60/10.32 (xuntil6(s380) | (~until5(s380))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26673, 294, 29834])).
% 14.60/10.32 tff(29836,plain,
% 14.60/10.32 (~until5(s380)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29835, 29832])).
% 14.60/10.32 tff(29837,plain,
% 14.60/10.32 (~xuntil6(s379)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26682, 29836])).
% 14.60/10.32 tff(29838,plain,
% 14.60/10.32 (~always3(s379)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26691, 29833])).
% 14.60/10.32 tff(29839,plain,
% 14.60/10.32 (~node4(s379)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26695, 36, 29838])).
% 14.60/10.32 tff(29840,plain,
% 14.60/10.32 (xuntil6(s379) | (~until5(s379))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26702, 294, 29839])).
% 14.60/10.32 tff(29841,plain,
% 14.60/10.32 (~until5(s379)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29840, 29837])).
% 14.60/10.32 tff(29842,plain,
% 14.60/10.32 (~xuntil6(s378)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26711, 29841])).
% 14.60/10.32 tff(29843,plain,
% 14.60/10.32 (~always3(s378)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26720, 29838])).
% 14.60/10.32 tff(29844,plain,
% 14.60/10.32 (~node4(s378)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26724, 36, 29843])).
% 14.60/10.32 tff(29845,plain,
% 14.60/10.32 (xuntil6(s378) | (~until5(s378))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26731, 294, 29844])).
% 14.60/10.32 tff(29846,plain,
% 14.60/10.32 (~until5(s378)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29845, 29842])).
% 14.60/10.32 tff(29847,plain,
% 14.60/10.32 (~xuntil6(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26740, 29846])).
% 14.60/10.32 tff(29848,plain,
% 14.60/10.32 (~always3(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26749, 29843])).
% 14.60/10.32 tff(29849,plain,
% 14.60/10.32 (~node4(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26753, 36, 29848])).
% 14.60/10.32 tff(29850,plain,
% 14.60/10.32 (xuntil6(s377) | (~until5(s377))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26760, 294, 29849])).
% 14.60/10.32 tff(29851,plain,
% 14.60/10.32 (~until5(s377)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29850, 29847])).
% 14.60/10.32 tff(29852,plain,
% 14.60/10.32 (~xuntil6(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26769, 29851])).
% 14.60/10.32 tff(29853,plain,
% 14.60/10.32 (~always3(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26778, 29848])).
% 14.60/10.32 tff(29854,plain,
% 14.60/10.32 (~node4(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26782, 36, 29853])).
% 14.60/10.32 tff(29855,plain,
% 14.60/10.32 (xuntil6(s376) | (~until5(s376))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26789, 294, 29854])).
% 14.60/10.32 tff(29856,plain,
% 14.60/10.32 (~until5(s376)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29855, 29852])).
% 14.60/10.32 tff(29857,plain,
% 14.60/10.32 (~xuntil6(s375)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26798, 29856])).
% 14.60/10.32 tff(29858,plain,
% 14.60/10.32 (~always3(s375)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26807, 29853])).
% 14.60/10.32 tff(29859,plain,
% 14.60/10.32 (~node4(s375)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26811, 36, 29858])).
% 14.60/10.32 tff(29860,plain,
% 14.60/10.32 (xuntil6(s375) | (~until5(s375))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26818, 294, 29859])).
% 14.60/10.32 tff(29861,plain,
% 14.60/10.32 (~until5(s375)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29860, 29857])).
% 14.60/10.32 tff(29862,plain,
% 14.60/10.32 (~xuntil6(s374)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26827, 29861])).
% 14.60/10.32 tff(29863,plain,
% 14.60/10.32 (~always3(s374)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26836, 29858])).
% 14.60/10.32 tff(29864,plain,
% 14.60/10.32 (~node4(s374)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26840, 36, 29863])).
% 14.60/10.32 tff(29865,plain,
% 14.60/10.32 (xuntil6(s374) | (~until5(s374))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26847, 294, 29864])).
% 14.60/10.32 tff(29866,plain,
% 14.60/10.32 (~until5(s374)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29865, 29862])).
% 14.60/10.32 tff(29867,plain,
% 14.60/10.32 (~xuntil6(s373)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26856, 29866])).
% 14.60/10.32 tff(29868,plain,
% 14.60/10.32 (~always3(s373)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26865, 29863])).
% 14.60/10.32 tff(29869,plain,
% 14.60/10.32 (~node4(s373)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26869, 36, 29868])).
% 14.60/10.32 tff(29870,plain,
% 14.60/10.32 (xuntil6(s373) | (~until5(s373))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26876, 294, 29869])).
% 14.60/10.32 tff(29871,plain,
% 14.60/10.32 (~until5(s373)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29870, 29867])).
% 14.60/10.32 tff(29872,plain,
% 14.60/10.32 (~xuntil6(s372)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26885, 29871])).
% 14.60/10.32 tff(29873,plain,
% 14.60/10.32 (~always3(s372)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26894, 29868])).
% 14.60/10.32 tff(29874,plain,
% 14.60/10.32 (~node4(s372)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26898, 36, 29873])).
% 14.60/10.32 tff(29875,plain,
% 14.60/10.32 (xuntil6(s372) | (~until5(s372))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26905, 294, 29874])).
% 14.60/10.32 tff(29876,plain,
% 14.60/10.32 (~until5(s372)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29875, 29872])).
% 14.60/10.32 tff(29877,plain,
% 14.60/10.32 (~xuntil6(s371)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26914, 29876])).
% 14.60/10.32 tff(29878,plain,
% 14.60/10.32 (~always3(s371)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26923, 29873])).
% 14.60/10.32 tff(29879,plain,
% 14.60/10.32 (~node4(s371)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26927, 36, 29878])).
% 14.60/10.32 tff(29880,plain,
% 14.60/10.32 (xuntil6(s371) | (~until5(s371))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26934, 294, 29879])).
% 14.60/10.32 tff(29881,plain,
% 14.60/10.32 (~until5(s371)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29880, 29877])).
% 14.60/10.32 tff(29882,plain,
% 14.60/10.32 (~xuntil6(s370)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26943, 29881])).
% 14.60/10.32 tff(29883,plain,
% 14.60/10.32 (~always3(s370)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26952, 29878])).
% 14.60/10.32 tff(29884,plain,
% 14.60/10.32 (~node4(s370)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26956, 36, 29883])).
% 14.60/10.32 tff(29885,plain,
% 14.60/10.32 (xuntil6(s370) | (~until5(s370))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26963, 294, 29884])).
% 14.60/10.32 tff(29886,plain,
% 14.60/10.32 (~until5(s370)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29885, 29882])).
% 14.60/10.32 tff(29887,plain,
% 14.60/10.32 (~xuntil6(s369)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26972, 29886])).
% 14.60/10.32 tff(29888,plain,
% 14.60/10.32 (~always3(s369)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26981, 29883])).
% 14.60/10.32 tff(29889,plain,
% 14.60/10.32 (~node4(s369)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26985, 36, 29888])).
% 14.60/10.32 tff(29890,plain,
% 14.60/10.32 (xuntil6(s369) | (~until5(s369))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[26992, 294, 29889])).
% 14.60/10.32 tff(29891,plain,
% 14.60/10.32 (~until5(s369)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29890, 29887])).
% 14.60/10.32 tff(29892,plain,
% 14.60/10.32 (~xuntil6(s368)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27001, 29891])).
% 14.60/10.32 tff(29893,plain,
% 14.60/10.32 (~always3(s368)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27010, 29888])).
% 14.60/10.32 tff(29894,plain,
% 14.60/10.32 (~node4(s368)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27014, 36, 29893])).
% 14.60/10.32 tff(29895,plain,
% 14.60/10.32 (xuntil6(s368) | (~until5(s368))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27021, 294, 29894])).
% 14.60/10.32 tff(29896,plain,
% 14.60/10.32 (~until5(s368)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29895, 29892])).
% 14.60/10.32 tff(29897,plain,
% 14.60/10.32 (~xuntil6(s367)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27030, 29896])).
% 14.60/10.32 tff(29898,plain,
% 14.60/10.32 (~always3(s367)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27039, 29893])).
% 14.60/10.32 tff(29899,plain,
% 14.60/10.32 (~node4(s367)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27043, 36, 29898])).
% 14.60/10.32 tff(29900,plain,
% 14.60/10.32 (xuntil6(s367) | (~until5(s367))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27050, 294, 29899])).
% 14.60/10.32 tff(29901,plain,
% 14.60/10.32 (~until5(s367)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29900, 29897])).
% 14.60/10.32 tff(29902,plain,
% 14.60/10.32 (~xuntil6(s366)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27059, 29901])).
% 14.60/10.32 tff(29903,plain,
% 14.60/10.32 (~always3(s366)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27068, 29898])).
% 14.60/10.32 tff(29904,plain,
% 14.60/10.32 (~node4(s366)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27072, 36, 29903])).
% 14.60/10.32 tff(29905,plain,
% 14.60/10.32 (xuntil6(s366) | (~until5(s366))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27079, 294, 29904])).
% 14.60/10.32 tff(29906,plain,
% 14.60/10.32 (~until5(s366)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29905, 29902])).
% 14.60/10.32 tff(29907,plain,
% 14.60/10.32 (~xuntil6(s365)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27088, 29906])).
% 14.60/10.32 tff(29908,plain,
% 14.60/10.32 (~always3(s365)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27097, 29903])).
% 14.60/10.32 tff(29909,plain,
% 14.60/10.32 (~node4(s365)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27101, 36, 29908])).
% 14.60/10.32 tff(29910,plain,
% 14.60/10.32 (xuntil6(s365) | (~until5(s365))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27108, 294, 29909])).
% 14.60/10.32 tff(29911,plain,
% 14.60/10.32 (~until5(s365)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29910, 29907])).
% 14.60/10.32 tff(29912,plain,
% 14.60/10.32 (~xuntil6(s364)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27117, 29911])).
% 14.60/10.32 tff(29913,plain,
% 14.60/10.32 (~always3(s364)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27126, 29908])).
% 14.60/10.32 tff(29914,plain,
% 14.60/10.32 (~node4(s364)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27130, 36, 29913])).
% 14.60/10.32 tff(29915,plain,
% 14.60/10.32 (xuntil6(s364) | (~until5(s364))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27137, 294, 29914])).
% 14.60/10.32 tff(29916,plain,
% 14.60/10.32 (~until5(s364)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29915, 29912])).
% 14.60/10.32 tff(29917,plain,
% 14.60/10.32 (~xuntil6(s363)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27146, 29916])).
% 14.60/10.32 tff(29918,plain,
% 14.60/10.32 (~always3(s363)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27155, 29913])).
% 14.60/10.32 tff(29919,plain,
% 14.60/10.32 (~node4(s363)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27159, 36, 29918])).
% 14.60/10.32 tff(29920,plain,
% 14.60/10.32 (xuntil6(s363) | (~until5(s363))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27166, 294, 29919])).
% 14.60/10.32 tff(29921,plain,
% 14.60/10.32 (~until5(s363)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29920, 29917])).
% 14.60/10.32 tff(29922,plain,
% 14.60/10.32 (~xuntil6(s362)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27175, 29921])).
% 14.60/10.32 tff(29923,plain,
% 14.60/10.32 (~always3(s362)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27184, 29918])).
% 14.60/10.32 tff(29924,plain,
% 14.60/10.32 (~node4(s362)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27188, 36, 29923])).
% 14.60/10.32 tff(29925,plain,
% 14.60/10.32 (xuntil6(s362) | (~until5(s362))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27195, 294, 29924])).
% 14.60/10.32 tff(29926,plain,
% 14.60/10.32 (~until5(s362)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29925, 29922])).
% 14.60/10.32 tff(29927,plain,
% 14.60/10.32 (~xuntil6(s361)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27204, 29926])).
% 14.60/10.32 tff(29928,plain,
% 14.60/10.32 (~always3(s361)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27213, 29923])).
% 14.60/10.32 tff(29929,plain,
% 14.60/10.32 (~node4(s361)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27217, 36, 29928])).
% 14.60/10.32 tff(29930,plain,
% 14.60/10.32 (xuntil6(s361) | (~until5(s361))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27224, 294, 29929])).
% 14.60/10.32 tff(29931,plain,
% 14.60/10.32 (~until5(s361)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29930, 29927])).
% 14.60/10.32 tff(29932,plain,
% 14.60/10.32 (~xuntil6(s360)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27233, 29931])).
% 14.60/10.32 tff(29933,plain,
% 14.60/10.32 (~always3(s360)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27242, 29928])).
% 14.60/10.32 tff(29934,plain,
% 14.60/10.32 (~node4(s360)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27246, 36, 29933])).
% 14.60/10.32 tff(29935,plain,
% 14.60/10.32 (xuntil6(s360) | (~until5(s360))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27253, 294, 29934])).
% 14.60/10.32 tff(29936,plain,
% 14.60/10.32 (~until5(s360)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29935, 29932])).
% 14.60/10.32 tff(29937,plain,
% 14.60/10.32 (~xuntil6(s359)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27262, 29936])).
% 14.60/10.32 tff(29938,plain,
% 14.60/10.32 (~always3(s359)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27271, 29933])).
% 14.60/10.32 tff(29939,plain,
% 14.60/10.32 (~node4(s359)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27275, 36, 29938])).
% 14.60/10.32 tff(29940,plain,
% 14.60/10.32 (xuntil6(s359) | (~until5(s359))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27282, 294, 29939])).
% 14.60/10.32 tff(29941,plain,
% 14.60/10.32 (~until5(s359)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29940, 29937])).
% 14.60/10.32 tff(29942,plain,
% 14.60/10.32 (~xuntil6(s358)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27291, 29941])).
% 14.60/10.32 tff(29943,plain,
% 14.60/10.32 (~always3(s358)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27300, 29938])).
% 14.60/10.32 tff(29944,plain,
% 14.60/10.32 (~node4(s358)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27304, 36, 29943])).
% 14.60/10.32 tff(29945,plain,
% 14.60/10.32 (xuntil6(s358) | (~until5(s358))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27311, 294, 29944])).
% 14.60/10.32 tff(29946,plain,
% 14.60/10.32 (~until5(s358)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29945, 29942])).
% 14.60/10.32 tff(29947,plain,
% 14.60/10.32 (~xuntil6(s357)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27320, 29946])).
% 14.60/10.32 tff(29948,plain,
% 14.60/10.32 (~always3(s357)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27329, 29943])).
% 14.60/10.32 tff(29949,plain,
% 14.60/10.32 (~node4(s357)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27333, 36, 29948])).
% 14.60/10.32 tff(29950,plain,
% 14.60/10.32 (xuntil6(s357) | (~until5(s357))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27340, 294, 29949])).
% 14.60/10.32 tff(29951,plain,
% 14.60/10.32 (~until5(s357)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29950, 29947])).
% 14.60/10.32 tff(29952,plain,
% 14.60/10.32 (~xuntil6(s356)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27349, 29951])).
% 14.60/10.32 tff(29953,plain,
% 14.60/10.32 (~always3(s356)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27358, 29948])).
% 14.60/10.32 tff(29954,plain,
% 14.60/10.32 (~node4(s356)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27362, 36, 29953])).
% 14.60/10.32 tff(29955,plain,
% 14.60/10.32 (xuntil6(s356) | (~until5(s356))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27369, 294, 29954])).
% 14.60/10.32 tff(29956,plain,
% 14.60/10.32 (~until5(s356)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29955, 29952])).
% 14.60/10.32 tff(29957,plain,
% 14.60/10.32 (~xuntil6(s355)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27378, 29956])).
% 14.60/10.32 tff(29958,plain,
% 14.60/10.32 (~always3(s355)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27387, 29953])).
% 14.60/10.32 tff(29959,plain,
% 14.60/10.32 (~node4(s355)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27391, 36, 29958])).
% 14.60/10.32 tff(29960,plain,
% 14.60/10.32 (xuntil6(s355) | (~until5(s355))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27398, 294, 29959])).
% 14.60/10.32 tff(29961,plain,
% 14.60/10.32 (~until5(s355)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29960, 29957])).
% 14.60/10.32 tff(29962,plain,
% 14.60/10.32 (~xuntil6(s354)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27407, 29961])).
% 14.60/10.32 tff(29963,plain,
% 14.60/10.32 (~always3(s354)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27416, 29958])).
% 14.60/10.32 tff(29964,plain,
% 14.60/10.32 (~node4(s354)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27420, 36, 29963])).
% 14.60/10.32 tff(29965,plain,
% 14.60/10.32 (xuntil6(s354) | (~until5(s354))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27427, 294, 29964])).
% 14.60/10.32 tff(29966,plain,
% 14.60/10.32 (~until5(s354)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29965, 29962])).
% 14.60/10.32 tff(29967,plain,
% 14.60/10.32 (~xuntil6(s353)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27436, 29966])).
% 14.60/10.32 tff(29968,plain,
% 14.60/10.32 (~always3(s353)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27445, 29963])).
% 14.60/10.32 tff(29969,plain,
% 14.60/10.32 (~node4(s353)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27449, 36, 29968])).
% 14.60/10.32 tff(29970,plain,
% 14.60/10.32 (xuntil6(s353) | (~until5(s353))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27456, 294, 29969])).
% 14.60/10.32 tff(29971,plain,
% 14.60/10.32 (~until5(s353)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29970, 29967])).
% 14.60/10.32 tff(29972,plain,
% 14.60/10.32 (~xuntil6(s352)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27465, 29971])).
% 14.60/10.32 tff(29973,plain,
% 14.60/10.32 (~always3(s352)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27474, 29968])).
% 14.60/10.32 tff(29974,plain,
% 14.60/10.32 (~node4(s352)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28753, 36, 29973])).
% 14.60/10.32 tff(29975,plain,
% 14.60/10.32 (xuntil6(s352) | (~until5(s352))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28760, 294, 29974])).
% 14.60/10.32 tff(29976,plain,
% 14.60/10.32 (~until5(s352)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29975, 29972])).
% 14.60/10.32 tff(29977,plain,
% 14.60/10.32 (~xuntil6(s351)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28749, 29976])).
% 14.60/10.32 tff(29978,plain,
% 14.60/10.32 (~always3(s351)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27486, 29973])).
% 14.60/10.32 tff(29979,plain,
% 14.60/10.32 (~node4(s351)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28736, 36, 29978])).
% 14.60/10.32 tff(29980,plain,
% 14.60/10.32 (xuntil6(s351) | (~until5(s351))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28743, 294, 29979])).
% 14.60/10.32 tff(29981,plain,
% 14.60/10.32 (~until5(s351)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29980, 29977])).
% 14.60/10.32 tff(29982,plain,
% 14.60/10.32 (~xuntil6(s350)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28732, 29981])).
% 14.60/10.32 tff(29983,plain,
% 14.60/10.32 (~always3(s350)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27498, 29978])).
% 14.60/10.32 tff(29984,plain,
% 14.60/10.32 (~node4(s350)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28719, 36, 29983])).
% 14.60/10.32 tff(29985,plain,
% 14.60/10.32 (xuntil6(s350) | (~until5(s350))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28726, 294, 29984])).
% 14.60/10.32 tff(29986,plain,
% 14.60/10.32 (~until5(s350)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29985, 29982])).
% 14.60/10.32 tff(29987,plain,
% 14.60/10.32 (~xuntil6(s349)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28715, 29986])).
% 14.60/10.32 tff(29988,plain,
% 14.60/10.32 (~always3(s349)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27510, 29983])).
% 14.60/10.32 tff(29989,plain,
% 14.60/10.32 (~node4(s349)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28702, 36, 29988])).
% 14.60/10.32 tff(29990,plain,
% 14.60/10.32 (xuntil6(s349) | (~until5(s349))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28709, 294, 29989])).
% 14.60/10.32 tff(29991,plain,
% 14.60/10.32 (~until5(s349)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[29990, 29987])).
% 14.60/10.32 tff(29992,plain,
% 14.60/10.32 (~xuntil6(s348)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28698, 29991])).
% 14.60/10.32 tff(29993,plain,
% 14.60/10.32 (~always3(s348)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27522, 29988])).
% 14.60/10.32 tff(29994,plain,
% 14.60/10.32 (~always3(s347)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27534, 29993])).
% 14.60/10.32 tff(29995,plain,
% 14.60/10.32 (~always3(s346)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27546, 29994])).
% 14.60/10.32 tff(29996,plain,
% 14.60/10.32 (~always3(s345)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27558, 29995])).
% 14.60/10.32 tff(29997,plain,
% 14.60/10.32 (~always3(s344)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27570, 29996])).
% 14.60/10.32 tff(29998,plain,
% 14.60/10.32 (~always3(s343)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27582, 29997])).
% 14.60/10.32 tff(29999,plain,
% 14.60/10.32 (~always3(s342)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27594, 29998])).
% 14.60/10.32 tff(30000,plain,
% 14.60/10.32 (~always3(s341)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27606, 29999])).
% 14.60/10.32 tff(30001,plain,
% 14.60/10.32 (~always3(s340)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27618, 30000])).
% 14.60/10.32 tff(30002,plain,
% 14.60/10.32 (~always3(s339)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27630, 30001])).
% 14.60/10.32 tff(30003,plain,
% 14.60/10.32 (~always3(s338)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27642, 30002])).
% 14.60/10.32 tff(30004,plain,
% 14.60/10.32 (~always3(s337)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27654, 30003])).
% 14.60/10.32 tff(30005,plain,
% 14.60/10.32 (~always3(s336)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27666, 30004])).
% 14.60/10.32 tff(30006,plain,
% 14.60/10.32 (~always3(s335)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27678, 30005])).
% 14.60/10.32 tff(30007,plain,
% 14.60/10.32 (~always3(s334)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27690, 30006])).
% 14.60/10.32 tff(30008,plain,
% 14.60/10.32 (~always3(s333)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27702, 30007])).
% 14.60/10.32 tff(30009,plain,
% 14.60/10.32 (~always3(s332)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27714, 30008])).
% 14.60/10.32 tff(30010,plain,
% 14.60/10.32 (~always3(s331)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27726, 30009])).
% 14.60/10.32 tff(30011,plain,
% 14.60/10.32 (~always3(s330)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27738, 30010])).
% 14.60/10.32 tff(30012,plain,
% 14.60/10.32 (~always3(s329)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27750, 30011])).
% 14.60/10.32 tff(30013,plain,
% 14.60/10.32 (~always3(s328)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27762, 30012])).
% 14.60/10.32 tff(30014,plain,
% 14.60/10.32 (~always3(s327)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27774, 30013])).
% 14.60/10.32 tff(30015,plain,
% 14.60/10.32 (~always3(s326)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27786, 30014])).
% 14.60/10.32 tff(30016,plain,
% 14.60/10.32 (~always3(s325)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27798, 30015])).
% 14.60/10.32 tff(30017,plain,
% 14.60/10.32 (~always3(s324)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27810, 30016])).
% 14.60/10.32 tff(30018,plain,
% 14.60/10.32 (~always3(s323)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27822, 30017])).
% 14.60/10.32 tff(30019,plain,
% 14.60/10.32 (~always3(s322)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27834, 30018])).
% 14.60/10.32 tff(30020,plain,
% 14.60/10.32 (~always3(s321)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27846, 30019])).
% 14.60/10.32 tff(30021,plain,
% 14.60/10.32 (~always3(s320)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27858, 30020])).
% 14.60/10.32 tff(30022,plain,
% 14.60/10.32 (~always3(s319)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27870, 30021])).
% 14.60/10.32 tff(30023,plain,
% 14.60/10.32 (~always3(s318)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27882, 30022])).
% 14.60/10.32 tff(30024,plain,
% 14.60/10.32 (~always3(s317)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27894, 30023])).
% 14.60/10.32 tff(30025,plain,
% 14.60/10.32 (~always3(s316)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27906, 30024])).
% 14.60/10.32 tff(30026,plain,
% 14.60/10.32 (~always3(s315)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27918, 30025])).
% 14.60/10.32 tff(30027,plain,
% 14.60/10.32 (~always3(s314)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27930, 30026])).
% 14.60/10.32 tff(30028,plain,
% 14.60/10.32 (~always3(s313)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27942, 30027])).
% 14.60/10.32 tff(30029,plain,
% 14.60/10.32 (~always3(s312)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27954, 30028])).
% 14.60/10.32 tff(30030,plain,
% 14.60/10.32 (~always3(s311)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27966, 30029])).
% 14.60/10.32 tff(30031,plain,
% 14.60/10.32 (~always3(s310)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27978, 30030])).
% 14.60/10.32 tff(30032,plain,
% 14.60/10.32 (~always3(s309)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27990, 30031])).
% 14.60/10.32 tff(30033,plain,
% 14.60/10.32 (~node4(s309)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[27994, 36, 30032])).
% 14.60/10.32 tff(30034,plain,
% 14.60/10.32 (~always3(s308)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28006, 30032])).
% 14.60/10.32 tff(30035,plain,
% 14.60/10.32 (~node4(s308)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28010, 36, 30034])).
% 14.60/10.32 tff(30036,plain,
% 14.60/10.32 (xuntil6(s308)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28018, 30035])).
% 14.60/10.32 tff(30037,plain,
% 14.60/10.32 (until5(s309)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28023, 30036])).
% 14.60/10.32 tff(30038,plain,
% 14.60/10.32 (xuntil6(s309)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28030, 294, 30037, 30033])).
% 14.60/10.32 tff(30039,plain,
% 14.60/10.32 (until5(s310)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28035, 30038])).
% 14.60/10.32 tff(30040,plain,
% 14.60/10.32 (~node4(s310)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28039, 36, 30031])).
% 14.60/10.32 tff(30041,plain,
% 14.60/10.32 (xuntil6(s310) | (~until5(s310))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28046, 294, 30040])).
% 14.60/10.32 tff(30042,plain,
% 14.60/10.32 (xuntil6(s310)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30041, 30039])).
% 14.60/10.32 tff(30043,plain,
% 14.60/10.32 (until5(s311)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28052, 30042])).
% 14.60/10.32 tff(30044,plain,
% 14.60/10.32 (~node4(s311)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28056, 36, 30030])).
% 14.60/10.32 tff(30045,plain,
% 14.60/10.32 (xuntil6(s311) | (~until5(s311))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28063, 294, 30044])).
% 14.60/10.32 tff(30046,plain,
% 14.60/10.32 (xuntil6(s311)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30045, 30043])).
% 14.60/10.32 tff(30047,plain,
% 14.60/10.32 (until5(s312)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28069, 30046])).
% 14.60/10.32 tff(30048,plain,
% 14.60/10.32 (~node4(s312)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28073, 36, 30029])).
% 14.60/10.32 tff(30049,plain,
% 14.60/10.32 (xuntil6(s312) | (~until5(s312))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28080, 294, 30048])).
% 14.60/10.32 tff(30050,plain,
% 14.60/10.32 (xuntil6(s312)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30049, 30047])).
% 14.60/10.32 tff(30051,plain,
% 14.60/10.32 (until5(s313)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28086, 30050])).
% 14.60/10.32 tff(30052,plain,
% 14.60/10.32 (~node4(s313)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28090, 36, 30028])).
% 14.60/10.32 tff(30053,plain,
% 14.60/10.32 (xuntil6(s313) | (~until5(s313))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28097, 294, 30052])).
% 14.60/10.32 tff(30054,plain,
% 14.60/10.32 (xuntil6(s313)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30053, 30051])).
% 14.60/10.32 tff(30055,plain,
% 14.60/10.32 (until5(s314)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28103, 30054])).
% 14.60/10.32 tff(30056,plain,
% 14.60/10.32 (~node4(s314)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28107, 36, 30027])).
% 14.60/10.32 tff(30057,plain,
% 14.60/10.32 (xuntil6(s314) | (~until5(s314))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28114, 294, 30056])).
% 14.60/10.32 tff(30058,plain,
% 14.60/10.32 (xuntil6(s314)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30057, 30055])).
% 14.60/10.32 tff(30059,plain,
% 14.60/10.32 (until5(s315)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28120, 30058])).
% 14.60/10.32 tff(30060,plain,
% 14.60/10.32 (~node4(s315)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28124, 36, 30026])).
% 14.60/10.32 tff(30061,plain,
% 14.60/10.32 (xuntil6(s315) | (~until5(s315))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28131, 294, 30060])).
% 14.60/10.32 tff(30062,plain,
% 14.60/10.32 (xuntil6(s315)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30061, 30059])).
% 14.60/10.32 tff(30063,plain,
% 14.60/10.32 (until5(s316)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28137, 30062])).
% 14.60/10.32 tff(30064,plain,
% 14.60/10.32 (~node4(s316)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28141, 36, 30025])).
% 14.60/10.32 tff(30065,plain,
% 14.60/10.32 (xuntil6(s316) | (~until5(s316))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28148, 294, 30064])).
% 14.60/10.32 tff(30066,plain,
% 14.60/10.32 (xuntil6(s316)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30065, 30063])).
% 14.60/10.32 tff(30067,plain,
% 14.60/10.32 (until5(s317)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28154, 30066])).
% 14.60/10.32 tff(30068,plain,
% 14.60/10.32 (~node4(s317)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28158, 36, 30024])).
% 14.60/10.32 tff(30069,plain,
% 14.60/10.32 (xuntil6(s317) | (~until5(s317))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28165, 294, 30068])).
% 14.60/10.32 tff(30070,plain,
% 14.60/10.32 (xuntil6(s317)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30069, 30067])).
% 14.60/10.32 tff(30071,plain,
% 14.60/10.32 (until5(s318)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28171, 30070])).
% 14.60/10.32 tff(30072,plain,
% 14.60/10.32 (~node4(s318)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28175, 36, 30023])).
% 14.60/10.32 tff(30073,plain,
% 14.60/10.32 (xuntil6(s318) | (~until5(s318))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28182, 294, 30072])).
% 14.60/10.32 tff(30074,plain,
% 14.60/10.32 (xuntil6(s318)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30073, 30071])).
% 14.60/10.32 tff(30075,plain,
% 14.60/10.32 (until5(s319)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28188, 30074])).
% 14.60/10.32 tff(30076,plain,
% 14.60/10.32 (~node4(s319)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28192, 36, 30022])).
% 14.60/10.32 tff(30077,plain,
% 14.60/10.32 (xuntil6(s319) | (~until5(s319))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28199, 294, 30076])).
% 14.60/10.32 tff(30078,plain,
% 14.60/10.32 (xuntil6(s319)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30077, 30075])).
% 14.60/10.32 tff(30079,plain,
% 14.60/10.32 (until5(s320)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28205, 30078])).
% 14.60/10.32 tff(30080,plain,
% 14.60/10.32 (~node4(s320)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28209, 36, 30021])).
% 14.60/10.32 tff(30081,plain,
% 14.60/10.32 (xuntil6(s320) | (~until5(s320))),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28216, 294, 30080])).
% 14.60/10.32 tff(30082,plain,
% 14.60/10.32 (xuntil6(s320)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[30081, 30079])).
% 14.60/10.32 tff(30083,plain,
% 14.60/10.32 (until5(s321)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28222, 30082])).
% 14.60/10.32 tff(30084,plain,
% 14.60/10.32 (~node4(s321)),
% 14.60/10.32 inference(unit_resolution,[status(thm)],[28226, 36, 30020])).
% 14.60/10.33 tff(30085,plain,
% 14.60/10.33 (xuntil6(s321) | (~until5(s321))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28233, 294, 30084])).
% 14.60/10.33 tff(30086,plain,
% 14.60/10.33 (xuntil6(s321)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30085, 30083])).
% 14.60/10.33 tff(30087,plain,
% 14.60/10.33 (until5(s322)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28239, 30086])).
% 14.60/10.33 tff(30088,plain,
% 14.60/10.33 (~node4(s322)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28243, 36, 30019])).
% 14.60/10.33 tff(30089,plain,
% 14.60/10.33 (xuntil6(s322) | (~until5(s322))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28250, 294, 30088])).
% 14.60/10.33 tff(30090,plain,
% 14.60/10.33 (xuntil6(s322)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30089, 30087])).
% 14.60/10.33 tff(30091,plain,
% 14.60/10.33 (until5(s323)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28256, 30090])).
% 14.60/10.33 tff(30092,plain,
% 14.60/10.33 (~node4(s323)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28260, 36, 30018])).
% 14.60/10.33 tff(30093,plain,
% 14.60/10.33 (xuntil6(s323) | (~until5(s323))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28267, 294, 30092])).
% 14.60/10.33 tff(30094,plain,
% 14.60/10.33 (xuntil6(s323)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30093, 30091])).
% 14.60/10.33 tff(30095,plain,
% 14.60/10.33 (until5(s324)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28273, 30094])).
% 14.60/10.33 tff(30096,plain,
% 14.60/10.33 (~node4(s324)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28277, 36, 30017])).
% 14.60/10.33 tff(30097,plain,
% 14.60/10.33 (xuntil6(s324) | (~until5(s324))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28284, 294, 30096])).
% 14.60/10.33 tff(30098,plain,
% 14.60/10.33 (xuntil6(s324)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30097, 30095])).
% 14.60/10.33 tff(30099,plain,
% 14.60/10.33 (until5(s325)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28290, 30098])).
% 14.60/10.33 tff(30100,plain,
% 14.60/10.33 (~node4(s325)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28294, 36, 30016])).
% 14.60/10.33 tff(30101,plain,
% 14.60/10.33 (xuntil6(s325) | (~until5(s325))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28301, 294, 30100])).
% 14.60/10.33 tff(30102,plain,
% 14.60/10.33 (xuntil6(s325)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30101, 30099])).
% 14.60/10.33 tff(30103,plain,
% 14.60/10.33 (until5(s326)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28307, 30102])).
% 14.60/10.33 tff(30104,plain,
% 14.60/10.33 (~node4(s326)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28311, 36, 30015])).
% 14.60/10.33 tff(30105,plain,
% 14.60/10.33 (xuntil6(s326) | (~until5(s326))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28318, 294, 30104])).
% 14.60/10.33 tff(30106,plain,
% 14.60/10.33 (xuntil6(s326)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30105, 30103])).
% 14.60/10.33 tff(30107,plain,
% 14.60/10.33 (until5(s327)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28324, 30106])).
% 14.60/10.33 tff(30108,plain,
% 14.60/10.33 (~node4(s327)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28328, 36, 30014])).
% 14.60/10.33 tff(30109,plain,
% 14.60/10.33 (xuntil6(s327) | (~until5(s327))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28335, 294, 30108])).
% 14.60/10.33 tff(30110,plain,
% 14.60/10.33 (xuntil6(s327)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30109, 30107])).
% 14.60/10.33 tff(30111,plain,
% 14.60/10.33 (until5(s328)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28341, 30110])).
% 14.60/10.33 tff(30112,plain,
% 14.60/10.33 (~node4(s328)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28345, 36, 30013])).
% 14.60/10.33 tff(30113,plain,
% 14.60/10.33 (xuntil6(s328) | (~until5(s328))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28352, 294, 30112])).
% 14.60/10.33 tff(30114,plain,
% 14.60/10.33 (xuntil6(s328)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30113, 30111])).
% 14.60/10.33 tff(30115,plain,
% 14.60/10.33 (until5(s329)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28358, 30114])).
% 14.60/10.33 tff(30116,plain,
% 14.60/10.33 (~node4(s329)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28362, 36, 30012])).
% 14.60/10.33 tff(30117,plain,
% 14.60/10.33 (xuntil6(s329) | (~until5(s329))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28369, 294, 30116])).
% 14.60/10.33 tff(30118,plain,
% 14.60/10.33 (xuntil6(s329)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30117, 30115])).
% 14.60/10.33 tff(30119,plain,
% 14.60/10.33 (until5(s330)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28375, 30118])).
% 14.60/10.33 tff(30120,plain,
% 14.60/10.33 (~node4(s330)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28379, 36, 30011])).
% 14.60/10.33 tff(30121,plain,
% 14.60/10.33 (xuntil6(s330) | (~until5(s330))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28386, 294, 30120])).
% 14.60/10.33 tff(30122,plain,
% 14.60/10.33 (xuntil6(s330)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30121, 30119])).
% 14.60/10.33 tff(30123,plain,
% 14.60/10.33 (until5(s331)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28392, 30122])).
% 14.60/10.33 tff(30124,plain,
% 14.60/10.33 (~node4(s331)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28396, 36, 30010])).
% 14.60/10.33 tff(30125,plain,
% 14.60/10.33 (xuntil6(s331) | (~until5(s331))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28403, 294, 30124])).
% 14.60/10.33 tff(30126,plain,
% 14.60/10.33 (xuntil6(s331)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30125, 30123])).
% 14.60/10.33 tff(30127,plain,
% 14.60/10.33 (until5(s332)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28409, 30126])).
% 14.60/10.33 tff(30128,plain,
% 14.60/10.33 (~node4(s332)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28413, 36, 30009])).
% 14.60/10.33 tff(30129,plain,
% 14.60/10.33 (xuntil6(s332) | (~until5(s332))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28420, 294, 30128])).
% 14.60/10.33 tff(30130,plain,
% 14.60/10.33 (xuntil6(s332)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30129, 30127])).
% 14.60/10.33 tff(30131,plain,
% 14.60/10.33 (until5(s333)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28426, 30130])).
% 14.60/10.33 tff(30132,plain,
% 14.60/10.33 (~node4(s333)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28430, 36, 30008])).
% 14.60/10.33 tff(30133,plain,
% 14.60/10.33 (xuntil6(s333) | (~until5(s333))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28437, 294, 30132])).
% 14.60/10.33 tff(30134,plain,
% 14.60/10.33 (xuntil6(s333)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30133, 30131])).
% 14.60/10.33 tff(30135,plain,
% 14.60/10.33 (until5(s334)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28443, 30134])).
% 14.60/10.33 tff(30136,plain,
% 14.60/10.33 (~node4(s334)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28447, 36, 30007])).
% 14.60/10.33 tff(30137,plain,
% 14.60/10.33 (xuntil6(s334) | (~until5(s334))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28454, 294, 30136])).
% 14.60/10.33 tff(30138,plain,
% 14.60/10.33 (xuntil6(s334)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30137, 30135])).
% 14.60/10.33 tff(30139,plain,
% 14.60/10.33 (until5(s335)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28460, 30138])).
% 14.60/10.33 tff(30140,plain,
% 14.60/10.33 (~node4(s335)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28464, 36, 30006])).
% 14.60/10.33 tff(30141,plain,
% 14.60/10.33 (xuntil6(s335) | (~until5(s335))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28471, 294, 30140])).
% 14.60/10.33 tff(30142,plain,
% 14.60/10.33 (xuntil6(s335)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30141, 30139])).
% 14.60/10.33 tff(30143,plain,
% 14.60/10.33 (until5(s336)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28477, 30142])).
% 14.60/10.33 tff(30144,plain,
% 14.60/10.33 (~node4(s336)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28481, 36, 30005])).
% 14.60/10.33 tff(30145,plain,
% 14.60/10.33 (xuntil6(s336) | (~until5(s336))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28488, 294, 30144])).
% 14.60/10.33 tff(30146,plain,
% 14.60/10.33 (xuntil6(s336)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30145, 30143])).
% 14.60/10.33 tff(30147,plain,
% 14.60/10.33 (until5(s337)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28494, 30146])).
% 14.60/10.33 tff(30148,plain,
% 14.60/10.33 (~node4(s337)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28498, 36, 30004])).
% 14.60/10.33 tff(30149,plain,
% 14.60/10.33 (xuntil6(s337) | (~until5(s337))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28505, 294, 30148])).
% 14.60/10.33 tff(30150,plain,
% 14.60/10.33 (xuntil6(s337)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30149, 30147])).
% 14.60/10.33 tff(30151,plain,
% 14.60/10.33 (until5(s338)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28511, 30150])).
% 14.60/10.33 tff(30152,plain,
% 14.60/10.33 (~node4(s338)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28515, 36, 30003])).
% 14.60/10.33 tff(30153,plain,
% 14.60/10.33 (xuntil6(s338) | (~until5(s338))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28522, 294, 30152])).
% 14.60/10.33 tff(30154,plain,
% 14.60/10.33 (xuntil6(s338)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30153, 30151])).
% 14.60/10.33 tff(30155,plain,
% 14.60/10.33 (until5(s339)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28528, 30154])).
% 14.60/10.33 tff(30156,plain,
% 14.60/10.33 (~node4(s339)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28532, 36, 30002])).
% 14.60/10.33 tff(30157,plain,
% 14.60/10.33 (xuntil6(s339) | (~until5(s339))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28539, 294, 30156])).
% 14.60/10.33 tff(30158,plain,
% 14.60/10.33 (xuntil6(s339)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30157, 30155])).
% 14.60/10.33 tff(30159,plain,
% 14.60/10.33 (until5(s340)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28545, 30158])).
% 14.60/10.33 tff(30160,plain,
% 14.60/10.33 (~node4(s340)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28549, 36, 30001])).
% 14.60/10.33 tff(30161,plain,
% 14.60/10.33 (xuntil6(s340) | (~until5(s340))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28556, 294, 30160])).
% 14.60/10.33 tff(30162,plain,
% 14.60/10.33 (xuntil6(s340)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30161, 30159])).
% 14.60/10.33 tff(30163,plain,
% 14.60/10.33 (until5(s341)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28562, 30162])).
% 14.60/10.33 tff(30164,plain,
% 14.60/10.33 (~node4(s341)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28566, 36, 30000])).
% 14.60/10.33 tff(30165,plain,
% 14.60/10.33 (xuntil6(s341) | (~until5(s341))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28573, 294, 30164])).
% 14.60/10.33 tff(30166,plain,
% 14.60/10.33 (xuntil6(s341)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30165, 30163])).
% 14.60/10.33 tff(30167,plain,
% 14.60/10.33 (until5(s342)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28579, 30166])).
% 14.60/10.33 tff(30168,plain,
% 14.60/10.33 (~node4(s342)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28583, 36, 29999])).
% 14.60/10.33 tff(30169,plain,
% 14.60/10.33 (xuntil6(s342) | (~until5(s342))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28590, 294, 30168])).
% 14.60/10.33 tff(30170,plain,
% 14.60/10.33 (xuntil6(s342)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30169, 30167])).
% 14.60/10.33 tff(30171,plain,
% 14.60/10.33 (until5(s343)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28596, 30170])).
% 14.60/10.33 tff(30172,plain,
% 14.60/10.33 (~node4(s343)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28600, 36, 29998])).
% 14.60/10.33 tff(30173,plain,
% 14.60/10.33 (xuntil6(s343) | (~until5(s343))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28607, 294, 30172])).
% 14.60/10.33 tff(30174,plain,
% 14.60/10.33 (xuntil6(s343)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30173, 30171])).
% 14.60/10.33 tff(30175,plain,
% 14.60/10.33 (until5(s344)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28613, 30174])).
% 14.60/10.33 tff(30176,plain,
% 14.60/10.33 (~node4(s344)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28617, 36, 29997])).
% 14.60/10.33 tff(30177,plain,
% 14.60/10.33 (xuntil6(s344) | (~until5(s344))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28624, 294, 30176])).
% 14.60/10.33 tff(30178,plain,
% 14.60/10.33 (xuntil6(s344)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30177, 30175])).
% 14.60/10.33 tff(30179,plain,
% 14.60/10.33 (until5(s345)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28630, 30178])).
% 14.60/10.33 tff(30180,plain,
% 14.60/10.33 (~node4(s345)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28634, 36, 29996])).
% 14.60/10.33 tff(30181,plain,
% 14.60/10.33 (xuntil6(s345) | (~until5(s345))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28641, 294, 30180])).
% 14.60/10.33 tff(30182,plain,
% 14.60/10.33 (xuntil6(s345)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30181, 30179])).
% 14.60/10.33 tff(30183,plain,
% 14.60/10.33 (until5(s346)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28647, 30182])).
% 14.60/10.33 tff(30184,plain,
% 14.60/10.33 (~node4(s346)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28651, 36, 29995])).
% 14.60/10.33 tff(30185,plain,
% 14.60/10.33 (xuntil6(s346) | (~until5(s346))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28658, 294, 30184])).
% 14.60/10.33 tff(30186,plain,
% 14.60/10.33 (xuntil6(s346)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30185, 30183])).
% 14.60/10.33 tff(30187,plain,
% 14.60/10.33 (until5(s347)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28664, 30186])).
% 14.60/10.33 tff(30188,plain,
% 14.60/10.33 (~node4(s347)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28668, 36, 29994])).
% 14.60/10.33 tff(30189,plain,
% 14.60/10.33 (xuntil6(s347) | (~until5(s347))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28675, 294, 30188])).
% 14.60/10.33 tff(30190,plain,
% 14.60/10.33 (xuntil6(s347)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30189, 30187])).
% 14.60/10.33 tff(30191,plain,
% 14.60/10.33 (until5(s348)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28681, 30190])).
% 14.60/10.33 tff(30192,plain,
% 14.60/10.33 (~node4(s348)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28685, 36, 29993])).
% 14.60/10.33 tff(30193,plain,
% 14.60/10.33 (xuntil6(s348) | (~until5(s348))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[28692, 294, 30192])).
% 14.60/10.33 tff(30194,plain,
% 14.60/10.33 ($false),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30193, 30191, 29992])).
% 14.60/10.33 tff(30195,plain,(always3(s388) | (~until5(s308)) | xuntil6(s388)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.33 tff(30196,plain,
% 14.60/10.33 (always3(s388)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30195, 29793, 26199])).
% 14.60/10.33 tff(30197,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s388)) | (~m_main_v_state(s388, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s388)) | (~m_main_v_state(s388, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30198,plain,
% 14.60/10.33 (((~m_main_v_state(s388, c_busy)) | (~always3(s388))) <=> ((~always3(s388)) | (~m_main_v_state(s388, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30199,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s388, c_busy)) | (~always3(s388)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s388)) | (~m_main_v_state(s388, c_busy))))),
% 14.60/10.33 inference(monotonicity,[status(thm)],[30198])).
% 14.60/10.33 tff(30200,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s388, c_busy)) | (~always3(s388)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s388)) | (~m_main_v_state(s388, c_busy)))),
% 14.60/10.33 inference(transitivity,[status(thm)],[30199, 30197])).
% 14.60/10.33 tff(30201,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s388, c_busy)) | (~always3(s388)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30202,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s388)) | (~m_main_v_state(s388, c_busy))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 14.60/10.33 tff(30203,plain,
% 14.60/10.33 (~m_main_v_state(s388, c_busy)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30202, 85, 30196])).
% 14.60/10.33 tff(30204,plain,
% 14.60/10.33 (always3(s389)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26430, 30196])).
% 14.60/10.33 tff(30205,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s389)) | (~m_main_v_state(s389, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s389)) | (~m_main_v_state(s389, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30206,plain,
% 14.60/10.33 (((~m_main_v_state(s389, c_busy)) | (~always3(s389))) <=> ((~always3(s389)) | (~m_main_v_state(s389, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30207,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s389, c_busy)) | (~always3(s389)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s389)) | (~m_main_v_state(s389, c_busy))))),
% 14.60/10.33 inference(monotonicity,[status(thm)],[30206])).
% 14.60/10.33 tff(30208,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s389, c_busy)) | (~always3(s389)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s389)) | (~m_main_v_state(s389, c_busy)))),
% 14.60/10.33 inference(transitivity,[status(thm)],[30207, 30205])).
% 14.60/10.33 tff(30209,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s389, c_busy)) | (~always3(s389)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30210,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s389)) | (~m_main_v_state(s389, c_busy))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30209, 30208])).
% 14.60/10.33 tff(30211,plain,
% 14.60/10.33 (~m_main_v_state(s389, c_busy)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30210, 85, 30204])).
% 14.60/10.33 tff(30212,plain,
% 14.60/10.33 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s388, c_busy) | m_main_v_state(s388, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s388, c_busy) | m_main_v_state(s388, c_ready))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30213,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s388, c_busy) | m_main_v_state(s388, c_ready))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30214,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s388, c_busy) | m_main_v_state(s388, c_ready)),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30213, 30212])).
% 14.60/10.33 tff(30215,plain,
% 14.60/10.33 (m_main_v_state(s388, c_ready)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30214, 102, 30203])).
% 14.60/10.33 tff(30216,plain,
% 14.60/10.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s388, s389)) | node2(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s388, s389)) | node2(s388, s389))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30217,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s388, s389)) | node2(s388, s389))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30218,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s388, s389)) | node2(s388, s389)),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30217, 30216])).
% 14.60/10.33 tff(30219,plain,
% 14.60/10.33 (node2(s388, s389)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30218, 7, 26426])).
% 14.60/10.33 tff(30220,plain,
% 14.60/10.33 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s388, c_ready)) | (~node2(s388, s389)) | m_main_v_state(s389, c_busy) | (~m_main_v_request(s388)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s388, c_ready)) | (~node2(s388, s389)) | m_main_v_state(s389, c_busy) | (~m_main_v_request(s388)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30221,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s388, c_ready)) | (~node2(s388, s389)) | m_main_v_state(s389, c_busy) | (~m_main_v_request(s388)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30222,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s388, c_ready)) | (~node2(s388, s389)) | m_main_v_state(s389, c_busy) | (~m_main_v_request(s388))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30221, 30220])).
% 14.60/10.33 tff(30223,plain,
% 14.60/10.33 ((~m_main_v_state(s388, c_ready)) | m_main_v_state(s389, c_busy) | (~m_main_v_request(s388))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30222, 73, 30219])).
% 14.60/10.33 tff(30224,plain,
% 14.60/10.33 (~m_main_v_request(s388)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30223, 30215, 30211])).
% 14.60/10.33 tff(30225,plain,
% 14.60/10.33 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s388) | (~node4(s388)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s388) | (~node4(s388)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30226,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s388) | (~node4(s388)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30227,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s388) | (~node4(s388))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 14.60/10.33 tff(30228,plain,
% 14.60/10.33 (~node4(s388)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30227, 21, 30224])).
% 14.60/10.33 tff(30229,plain,
% 14.60/10.33 (~until5(s388)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[29798, 30228])).
% 14.60/10.33 tff(30230,plain,
% 14.60/10.33 (~xuntil6(s387)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26450, 30229])).
% 14.60/10.33 tff(30231,assumption,(until5(s387)), introduced(assumption)).
% 14.60/10.33 tff(30232,plain,
% 14.60/10.33 (xuntil6(s387) | node4(s387)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26470, 294, 30231])).
% 14.60/10.33 tff(30233,plain,
% 14.60/10.33 (node4(s387)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30232, 30230])).
% 14.60/10.33 tff(30234,plain,
% 14.60/10.33 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s387) | (~node4(s387)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s387) | (~node4(s387)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30235,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s387) | (~node4(s387)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30236,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s387) | (~node4(s387))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30235, 30234])).
% 14.60/10.33 tff(30237,plain,
% 14.60/10.33 (m_main_v_request(s387)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30236, 21, 30233])).
% 14.60/10.33 tff(30238,plain,
% 14.60/10.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s387, s388)) | node2(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s387, s388)) | node2(s387, s388))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30239,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s387, s388)) | node2(s387, s388))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30240,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s387, s388)) | node2(s387, s388)),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30239, 30238])).
% 14.60/10.33 tff(30241,plain,
% 14.60/10.33 (node2(s387, s388)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30240, 7, 26455])).
% 14.60/10.33 tff(30242,plain,
% 14.60/10.33 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s387, c_ready)) | (~node2(s387, s388)) | m_main_v_state(s388, c_busy) | (~m_main_v_request(s387)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s387, c_ready)) | (~node2(s387, s388)) | m_main_v_state(s388, c_busy) | (~m_main_v_request(s387)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30243,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s387, c_ready)) | (~node2(s387, s388)) | m_main_v_state(s388, c_busy) | (~m_main_v_request(s387)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30244,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s387, c_ready)) | (~node2(s387, s388)) | m_main_v_state(s388, c_busy) | (~m_main_v_request(s387))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30243, 30242])).
% 14.60/10.33 tff(30245,plain,
% 14.60/10.33 ((~m_main_v_state(s387, c_ready)) | m_main_v_state(s388, c_busy) | (~m_main_v_request(s387))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30244, 73, 30241])).
% 14.60/10.33 tff(30246,plain,
% 14.60/10.33 (~m_main_v_state(s387, c_ready)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30245, 30237, 30203])).
% 14.60/10.33 tff(30247,assumption,(~always3(s387)), introduced(assumption)).
% 14.60/10.33 tff(30248,plain,
% 14.60/10.33 (~always3(s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26488, 30247])).
% 14.60/10.33 tff(30249,plain,
% 14.60/10.33 (~always3(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26517, 30248])).
% 14.60/10.33 tff(30250,plain,
% 14.60/10.33 (~always3(s384)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26546, 30249])).
% 14.60/10.33 tff(30251,plain,
% 14.60/10.33 (~always3(s383)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26575, 30250])).
% 14.60/10.33 tff(30252,plain,
% 14.60/10.33 (~always3(s382)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26604, 30251])).
% 14.60/10.33 tff(30253,plain,
% 14.60/10.33 (~always3(s381)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26633, 30252])).
% 14.60/10.33 tff(30254,plain,
% 14.60/10.33 (~always3(s380)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26662, 30253])).
% 14.60/10.33 tff(30255,plain,
% 14.60/10.33 (~always3(s379)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26691, 30254])).
% 14.60/10.33 tff(30256,plain,
% 14.60/10.33 (~always3(s378)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26720, 30255])).
% 14.60/10.33 tff(30257,plain,
% 14.60/10.33 (~always3(s377)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26749, 30256])).
% 14.60/10.33 tff(30258,plain,
% 14.60/10.33 (~always3(s376)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26778, 30257])).
% 14.60/10.33 tff(30259,plain,
% 14.60/10.33 (~always3(s375)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26807, 30258])).
% 14.60/10.33 tff(30260,plain,
% 14.60/10.33 (~always3(s374)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26836, 30259])).
% 14.60/10.33 tff(30261,plain,
% 14.60/10.33 (~always3(s373)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26865, 30260])).
% 14.60/10.33 tff(30262,plain,
% 14.60/10.33 (~always3(s372)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26894, 30261])).
% 14.60/10.33 tff(30263,plain,
% 14.60/10.33 (~always3(s371)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26923, 30262])).
% 14.60/10.33 tff(30264,plain,
% 14.60/10.33 (~always3(s370)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26952, 30263])).
% 14.60/10.33 tff(30265,plain,
% 14.60/10.33 (~node4(s370)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26956, 36, 30264])).
% 14.60/10.33 tff(30266,plain,
% 14.60/10.33 (~always3(s369)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26981, 30264])).
% 14.60/10.33 tff(30267,plain,
% 14.60/10.33 (~node4(s369)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26985, 36, 30266])).
% 14.60/10.33 tff(30268,plain,
% 14.60/10.33 (xuntil6(s369)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[29442, 30267])).
% 14.60/10.33 tff(30269,plain,
% 14.60/10.33 (until5(s370)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26972, 30268])).
% 14.60/10.33 tff(30270,plain,
% 14.60/10.33 (xuntil6(s370)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26963, 294, 30269, 30265])).
% 14.60/10.33 tff(30271,plain,
% 14.60/10.33 (until5(s371)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26943, 30270])).
% 14.60/10.33 tff(30272,plain,
% 14.60/10.33 (~node4(s371)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26927, 36, 30263])).
% 14.60/10.33 tff(30273,plain,
% 14.60/10.33 (xuntil6(s371) | (~until5(s371))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26934, 294, 30272])).
% 14.60/10.33 tff(30274,plain,
% 14.60/10.33 (xuntil6(s371)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30273, 30271])).
% 14.60/10.33 tff(30275,plain,
% 14.60/10.33 (until5(s372)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26914, 30274])).
% 14.60/10.33 tff(30276,plain,
% 14.60/10.33 (~node4(s372)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26898, 36, 30262])).
% 14.60/10.33 tff(30277,plain,
% 14.60/10.33 (xuntil6(s372) | (~until5(s372))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26905, 294, 30276])).
% 14.60/10.33 tff(30278,plain,
% 14.60/10.33 (xuntil6(s372)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30277, 30275])).
% 14.60/10.33 tff(30279,plain,
% 14.60/10.33 (until5(s373)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26885, 30278])).
% 14.60/10.33 tff(30280,plain,
% 14.60/10.33 (~node4(s373)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26869, 36, 30261])).
% 14.60/10.33 tff(30281,plain,
% 14.60/10.33 (xuntil6(s373) | (~until5(s373))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26876, 294, 30280])).
% 14.60/10.33 tff(30282,plain,
% 14.60/10.33 (xuntil6(s373)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30281, 30279])).
% 14.60/10.33 tff(30283,plain,
% 14.60/10.33 (until5(s374)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26856, 30282])).
% 14.60/10.33 tff(30284,plain,
% 14.60/10.33 (~node4(s374)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26840, 36, 30260])).
% 14.60/10.33 tff(30285,plain,
% 14.60/10.33 (xuntil6(s374) | (~until5(s374))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26847, 294, 30284])).
% 14.60/10.33 tff(30286,plain,
% 14.60/10.33 (xuntil6(s374)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30285, 30283])).
% 14.60/10.33 tff(30287,plain,
% 14.60/10.33 (until5(s375)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26827, 30286])).
% 14.60/10.33 tff(30288,plain,
% 14.60/10.33 (~node4(s375)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26811, 36, 30259])).
% 14.60/10.33 tff(30289,plain,
% 14.60/10.33 (xuntil6(s375) | (~until5(s375))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26818, 294, 30288])).
% 14.60/10.33 tff(30290,plain,
% 14.60/10.33 (xuntil6(s375)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30289, 30287])).
% 14.60/10.33 tff(30291,plain,
% 14.60/10.33 (until5(s376)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26798, 30290])).
% 14.60/10.33 tff(30292,plain,
% 14.60/10.33 (~node4(s376)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26782, 36, 30258])).
% 14.60/10.33 tff(30293,plain,
% 14.60/10.33 (xuntil6(s376) | (~until5(s376))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26789, 294, 30292])).
% 14.60/10.33 tff(30294,plain,
% 14.60/10.33 (xuntil6(s376)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30293, 30291])).
% 14.60/10.33 tff(30295,plain,
% 14.60/10.33 (until5(s377)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26769, 30294])).
% 14.60/10.33 tff(30296,plain,
% 14.60/10.33 (~node4(s377)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26753, 36, 30257])).
% 14.60/10.33 tff(30297,plain,
% 14.60/10.33 (xuntil6(s377) | (~until5(s377))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26760, 294, 30296])).
% 14.60/10.33 tff(30298,plain,
% 14.60/10.33 (xuntil6(s377)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30297, 30295])).
% 14.60/10.33 tff(30299,plain,
% 14.60/10.33 (until5(s378)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26740, 30298])).
% 14.60/10.33 tff(30300,plain,
% 14.60/10.33 (~node4(s378)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26724, 36, 30256])).
% 14.60/10.33 tff(30301,plain,
% 14.60/10.33 (xuntil6(s378) | (~until5(s378))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26731, 294, 30300])).
% 14.60/10.33 tff(30302,plain,
% 14.60/10.33 (xuntil6(s378)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30301, 30299])).
% 14.60/10.33 tff(30303,plain,
% 14.60/10.33 (until5(s379)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26711, 30302])).
% 14.60/10.33 tff(30304,plain,
% 14.60/10.33 (~node4(s379)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26695, 36, 30255])).
% 14.60/10.33 tff(30305,plain,
% 14.60/10.33 (xuntil6(s379) | (~until5(s379))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26702, 294, 30304])).
% 14.60/10.33 tff(30306,plain,
% 14.60/10.33 (xuntil6(s379)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30305, 30303])).
% 14.60/10.33 tff(30307,plain,
% 14.60/10.33 (until5(s380)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26682, 30306])).
% 14.60/10.33 tff(30308,plain,
% 14.60/10.33 (~node4(s380)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26666, 36, 30254])).
% 14.60/10.33 tff(30309,plain,
% 14.60/10.33 (xuntil6(s380) | (~until5(s380))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26673, 294, 30308])).
% 14.60/10.33 tff(30310,plain,
% 14.60/10.33 (xuntil6(s380)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30309, 30307])).
% 14.60/10.33 tff(30311,plain,
% 14.60/10.33 (until5(s381)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26653, 30310])).
% 14.60/10.33 tff(30312,plain,
% 14.60/10.33 (~node4(s381)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26637, 36, 30253])).
% 14.60/10.33 tff(30313,plain,
% 14.60/10.33 (xuntil6(s381) | (~until5(s381))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26644, 294, 30312])).
% 14.60/10.33 tff(30314,plain,
% 14.60/10.33 (xuntil6(s381)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30313, 30311])).
% 14.60/10.33 tff(30315,plain,
% 14.60/10.33 (until5(s382)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26624, 30314])).
% 14.60/10.33 tff(30316,plain,
% 14.60/10.33 (~node4(s382)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26608, 36, 30252])).
% 14.60/10.33 tff(30317,plain,
% 14.60/10.33 (xuntil6(s382) | (~until5(s382))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26615, 294, 30316])).
% 14.60/10.33 tff(30318,plain,
% 14.60/10.33 (xuntil6(s382)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30317, 30315])).
% 14.60/10.33 tff(30319,plain,
% 14.60/10.33 (until5(s383)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26595, 30318])).
% 14.60/10.33 tff(30320,plain,
% 14.60/10.33 (~node4(s383)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26579, 36, 30251])).
% 14.60/10.33 tff(30321,plain,
% 14.60/10.33 (xuntil6(s383) | (~until5(s383))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26586, 294, 30320])).
% 14.60/10.33 tff(30322,plain,
% 14.60/10.33 (xuntil6(s383)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30321, 30319])).
% 14.60/10.33 tff(30323,plain,
% 14.60/10.33 (until5(s384)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26566, 30322])).
% 14.60/10.33 tff(30324,plain,
% 14.60/10.33 (~node4(s384)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26550, 36, 30250])).
% 14.60/10.33 tff(30325,plain,
% 14.60/10.33 (xuntil6(s384) | (~until5(s384))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26557, 294, 30324])).
% 14.60/10.33 tff(30326,plain,
% 14.60/10.33 (xuntil6(s384)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30325, 30323])).
% 14.60/10.33 tff(30327,plain,
% 14.60/10.33 (until5(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26537, 30326])).
% 14.60/10.33 tff(30328,plain,
% 14.60/10.33 (~node4(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26521, 36, 30249])).
% 14.60/10.33 tff(30329,plain,
% 14.60/10.33 (xuntil6(s385) | (~until5(s385))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26528, 294, 30328])).
% 14.60/10.33 tff(30330,plain,
% 14.60/10.33 (xuntil6(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30329, 30327])).
% 14.60/10.33 tff(30331,plain,
% 14.60/10.33 (until5(s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26508, 30330])).
% 14.60/10.33 tff(30332,plain,
% 14.60/10.33 (~node4(s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26492, 36, 30248])).
% 14.60/10.33 tff(30333,plain,
% 14.60/10.33 (xuntil6(s386) | (~until5(s386))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26499, 294, 30332])).
% 14.60/10.33 tff(30334,plain,
% 14.60/10.33 (xuntil6(s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30333, 30331])).
% 14.60/10.33 tff(30335,plain,
% 14.60/10.33 (until5(s387)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26479, 30334])).
% 14.60/10.33 tff(30336,assumption,(~xuntil6(s387)), introduced(assumption)).
% 14.60/10.33 tff(30337,plain,
% 14.60/10.33 (node4(s387) | (~until5(s387))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26470, 294, 30336])).
% 14.60/10.33 tff(30338,plain,
% 14.60/10.33 (node4(s387)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30337, 30335])).
% 14.60/10.33 tff(30339,plain,
% 14.60/10.33 ($false),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26463, 36, 30247, 30338])).
% 14.60/10.33 tff(30340,plain,(always3(s387) | xuntil6(s387) | (~until5(s369))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.33 tff(30341,plain,
% 14.60/10.33 (always3(s387)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30340, 30230, 29430])).
% 14.60/10.33 tff(30342,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s387)) | (~m_main_v_state(s387, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s387)) | (~m_main_v_state(s387, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30343,plain,
% 14.60/10.33 (((~m_main_v_state(s387, c_busy)) | (~always3(s387))) <=> ((~always3(s387)) | (~m_main_v_state(s387, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30344,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s387, c_busy)) | (~always3(s387)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s387)) | (~m_main_v_state(s387, c_busy))))),
% 14.60/10.33 inference(monotonicity,[status(thm)],[30343])).
% 14.60/10.33 tff(30345,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s387, c_busy)) | (~always3(s387)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s387)) | (~m_main_v_state(s387, c_busy)))),
% 14.60/10.33 inference(transitivity,[status(thm)],[30344, 30342])).
% 14.60/10.33 tff(30346,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s387, c_busy)) | (~always3(s387)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30347,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s387)) | (~m_main_v_state(s387, c_busy))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30346, 30345])).
% 14.60/10.33 tff(30348,plain,
% 14.60/10.33 (~m_main_v_state(s387, c_busy)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30347, 85, 30341])).
% 14.60/10.33 tff(30349,plain,
% 14.60/10.33 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s387, c_busy) | m_main_v_state(s387, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s387, c_busy) | m_main_v_state(s387, c_ready))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30350,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s387, c_busy) | m_main_v_state(s387, c_ready))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30351,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s387, c_busy) | m_main_v_state(s387, c_ready)),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30350, 30349])).
% 14.60/10.33 tff(30352,plain,
% 14.60/10.33 ($false),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30351, 102, 30348, 30246])).
% 14.60/10.33 tff(30353,plain,(xuntil6(s388) | (~until5(s387)) | (~until5(s369)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.33 tff(30354,plain,
% 14.60/10.33 (~until5(s387)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30353, 29429, 29793, 28877])).
% 14.60/10.33 tff(30355,plain,
% 14.60/10.33 (~xuntil6(s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26479, 30354])).
% 14.60/10.33 tff(30356,assumption,(until5(s382)), introduced(assumption)).
% 14.60/10.33 tff(30357,assumption,(~xuntil6(s386)), introduced(assumption)).
% 14.60/10.33 tff(30358,assumption,(~always3(s386)), introduced(assumption)).
% 14.60/10.33 tff(30359,plain,
% 14.60/10.33 (~always3(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26517, 30358])).
% 14.60/10.33 tff(30360,plain,
% 14.60/10.33 (~always3(s384)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26546, 30359])).
% 14.60/10.33 tff(30361,plain,
% 14.60/10.33 (~always3(s383)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26575, 30360])).
% 14.60/10.33 tff(30362,plain,
% 14.60/10.33 (~node4(s383)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26579, 36, 30361])).
% 14.60/10.33 tff(30363,plain,
% 14.60/10.33 (~always3(s382)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26604, 30361])).
% 14.60/10.33 tff(30364,plain,
% 14.60/10.33 (~node4(s382)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26608, 36, 30363])).
% 14.60/10.33 tff(30365,plain,
% 14.60/10.33 (xuntil6(s382) | node4(s382)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26615, 294, 30356])).
% 14.60/10.33 tff(30366,plain,
% 14.60/10.33 (xuntil6(s382)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30365, 30364])).
% 14.60/10.33 tff(30367,plain,
% 14.60/10.33 (until5(s383)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26595, 30366])).
% 14.60/10.33 tff(30368,plain,
% 14.60/10.33 (xuntil6(s383)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26586, 294, 30367, 30362])).
% 14.60/10.33 tff(30369,plain,
% 14.60/10.33 (until5(s384)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26566, 30368])).
% 14.60/10.33 tff(30370,plain,
% 14.60/10.33 (~node4(s384)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26550, 36, 30360])).
% 14.60/10.33 tff(30371,plain,
% 14.60/10.33 (xuntil6(s384) | (~until5(s384))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26557, 294, 30370])).
% 14.60/10.33 tff(30372,plain,
% 14.60/10.33 (xuntil6(s384)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30371, 30369])).
% 14.60/10.33 tff(30373,plain,
% 14.60/10.33 (until5(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26537, 30372])).
% 14.60/10.33 tff(30374,plain,
% 14.60/10.33 (~node4(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26521, 36, 30359])).
% 14.60/10.33 tff(30375,plain,
% 14.60/10.33 (xuntil6(s385) | (~until5(s385))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26528, 294, 30374])).
% 14.60/10.33 tff(30376,plain,
% 14.60/10.33 (xuntil6(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30375, 30373])).
% 14.60/10.33 tff(30377,plain,
% 14.60/10.33 (until5(s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26508, 30376])).
% 14.60/10.33 tff(30378,plain,
% 14.60/10.33 (node4(s386) | (~until5(s386))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26499, 294, 30357])).
% 14.60/10.33 tff(30379,plain,
% 14.60/10.33 (node4(s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30378, 30377])).
% 14.60/10.33 tff(30380,plain,
% 14.60/10.33 ($false),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26492, 36, 30358, 30379])).
% 14.60/10.33 tff(30381,plain,(always3(s386) | xuntil6(s386) | (~until5(s382))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.33 tff(30382,plain,
% 14.60/10.33 (always3(s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30381, 30356, 30357])).
% 14.60/10.33 tff(30383,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s386)) | (~m_main_v_state(s386, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s386)) | (~m_main_v_state(s386, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30384,plain,
% 14.60/10.33 (((~m_main_v_state(s386, c_busy)) | (~always3(s386))) <=> ((~always3(s386)) | (~m_main_v_state(s386, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30385,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s386, c_busy)) | (~always3(s386)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s386)) | (~m_main_v_state(s386, c_busy))))),
% 14.60/10.33 inference(monotonicity,[status(thm)],[30384])).
% 14.60/10.33 tff(30386,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s386, c_busy)) | (~always3(s386)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s386)) | (~m_main_v_state(s386, c_busy)))),
% 14.60/10.33 inference(transitivity,[status(thm)],[30385, 30383])).
% 14.60/10.33 tff(30387,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s386, c_busy)) | (~always3(s386)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30388,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s386)) | (~m_main_v_state(s386, c_busy))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30387, 30386])).
% 14.60/10.33 tff(30389,plain,
% 14.60/10.33 (~m_main_v_state(s386, c_busy)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30388, 85, 30382])).
% 14.60/10.33 tff(30390,assumption,(~m_main_v_state(s386, c_busy)), introduced(assumption)).
% 14.60/10.33 tff(30391,assumption,(node4(s385)), introduced(assumption)).
% 14.60/10.33 tff(30392,plain,
% 14.60/10.33 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s385) | (~node4(s385)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s385) | (~node4(s385)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30393,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s385) | (~node4(s385)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30394,plain,
% 14.60/10.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s385) | (~node4(s385))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30393, 30392])).
% 14.60/10.33 tff(30395,plain,
% 14.60/10.33 (m_main_v_request(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30394, 21, 30391])).
% 14.60/10.33 tff(30396,plain,
% 14.60/10.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s385, s386)) | node2(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s385, s386)) | node2(s385, s386))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30397,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s385, s386)) | node2(s385, s386))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30398,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s385, s386)) | node2(s385, s386)),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 14.60/10.33 tff(30399,plain,
% 14.60/10.33 (node2(s385, s386)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30398, 7, 26513])).
% 14.60/10.33 tff(30400,plain,
% 14.60/10.33 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s385, c_ready)) | (~node2(s385, s386)) | m_main_v_state(s386, c_busy) | (~m_main_v_request(s385)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s385, c_ready)) | (~node2(s385, s386)) | m_main_v_state(s386, c_busy) | (~m_main_v_request(s385)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30401,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s385, c_ready)) | (~node2(s385, s386)) | m_main_v_state(s386, c_busy) | (~m_main_v_request(s385)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30402,plain,
% 14.60/10.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s385, c_ready)) | (~node2(s385, s386)) | m_main_v_state(s386, c_busy) | (~m_main_v_request(s385))),
% 14.60/10.33 inference(modus_ponens,[status(thm)],[30401, 30400])).
% 14.60/10.33 tff(30403,plain,
% 14.60/10.33 ((~m_main_v_state(s385, c_ready)) | m_main_v_state(s386, c_busy) | (~m_main_v_request(s385))),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30402, 73, 30399])).
% 14.60/10.33 tff(30404,plain,
% 14.60/10.33 (~m_main_v_state(s385, c_ready)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[30403, 30395, 30390])).
% 14.60/10.33 tff(30405,plain,
% 14.60/10.33 (always3(s385)),
% 14.60/10.33 inference(unit_resolution,[status(thm)],[26521, 36, 30391])).
% 14.60/10.33 tff(30406,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s385)) | (~m_main_v_state(s385, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s385)) | (~m_main_v_state(s385, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30407,plain,
% 14.60/10.33 (((~m_main_v_state(s385, c_busy)) | (~always3(s385))) <=> ((~always3(s385)) | (~m_main_v_state(s385, c_busy)))),
% 14.60/10.33 inference(rewrite,[status(thm)],[])).
% 14.60/10.33 tff(30408,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s385, c_busy)) | (~always3(s385)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s385)) | (~m_main_v_state(s385, c_busy))))),
% 14.60/10.33 inference(monotonicity,[status(thm)],[30407])).
% 14.60/10.33 tff(30409,plain,
% 14.60/10.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s385, c_busy)) | (~always3(s385)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s385)) | (~m_main_v_state(s385, c_busy)))),
% 14.60/10.33 inference(transitivity,[status(thm)],[30408, 30406])).
% 14.60/10.33 tff(30410,plain,
% 14.60/10.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s385, c_busy)) | (~always3(s385)))),
% 14.60/10.33 inference(quant_inst,[status(thm)],[])).
% 14.60/10.33 tff(30411,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s385)) | (~m_main_v_state(s385, c_busy))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30410, 30409])).
% 14.60/10.34 tff(30412,plain,
% 14.60/10.34 (~m_main_v_state(s385, c_busy)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30411, 85, 30405])).
% 14.60/10.34 tff(30413,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s385, c_busy) | m_main_v_state(s385, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s385, c_busy) | m_main_v_state(s385, c_ready))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30414,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s385, c_busy) | m_main_v_state(s385, c_ready))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30415,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s385, c_busy) | m_main_v_state(s385, c_ready)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30414, 30413])).
% 14.60/10.34 tff(30416,plain,
% 14.60/10.34 ($false),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30415, 102, 30412, 30404])).
% 14.60/10.34 tff(30417,plain,((~node4(s385)) | m_main_v_state(s386, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.34 tff(30418,plain,
% 14.60/10.34 (~node4(s385)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30417, 30389])).
% 14.60/10.34 tff(30419,assumption,(~m_main_v_state(s387, c_busy)), introduced(assumption)).
% 14.60/10.34 tff(30420,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s386, c_busy) | m_main_v_state(s386, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s386, c_busy) | m_main_v_state(s386, c_ready))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30421,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s386, c_busy) | m_main_v_state(s386, c_ready))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30422,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s386, c_busy) | m_main_v_state(s386, c_ready)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30421, 30420])).
% 14.60/10.34 tff(30423,plain,
% 14.60/10.34 (m_main_v_state(s386, c_ready)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30422, 102, 30389])).
% 14.60/10.34 tff(30424,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s386, s387)) | node2(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s386, s387)) | node2(s386, s387))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30425,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s386, s387)) | node2(s386, s387))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30426,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s386, s387)) | node2(s386, s387)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30425, 30424])).
% 14.60/10.34 tff(30427,plain,
% 14.60/10.34 (node2(s386, s387)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30426, 7, 26484])).
% 14.60/10.34 tff(30428,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s386, c_ready)) | (~node2(s386, s387)) | m_main_v_state(s387, c_busy) | (~m_main_v_request(s386)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s386, c_ready)) | (~node2(s386, s387)) | m_main_v_state(s387, c_busy) | (~m_main_v_request(s386)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30429,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s386, c_ready)) | (~node2(s386, s387)) | m_main_v_state(s387, c_busy) | (~m_main_v_request(s386)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30430,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s386, c_ready)) | (~node2(s386, s387)) | m_main_v_state(s387, c_busy) | (~m_main_v_request(s386))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30429, 30428])).
% 14.60/10.34 tff(30431,plain,
% 14.60/10.34 ((~m_main_v_state(s386, c_ready)) | m_main_v_state(s387, c_busy) | (~m_main_v_request(s386))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30430, 73, 30427])).
% 14.60/10.34 tff(30432,plain,
% 14.60/10.34 (~m_main_v_request(s386)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30431, 30423, 30419])).
% 14.60/10.34 tff(30433,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s386) | (~node4(s386)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s386) | (~node4(s386)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30434,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s386) | (~node4(s386)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30435,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s386) | (~node4(s386))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30434, 30433])).
% 14.60/10.34 tff(30436,plain,
% 14.60/10.34 (~node4(s386)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30435, 21, 30432])).
% 14.60/10.34 tff(30437,plain,
% 14.60/10.34 (~until5(s386)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30378, 30436])).
% 14.60/10.34 tff(30438,plain,
% 14.60/10.34 (~xuntil6(s385)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26508, 30437])).
% 14.60/10.34 tff(30439,plain,
% 14.60/10.34 (node4(s385) | (~until5(s385))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26528, 294, 30438])).
% 14.60/10.34 tff(30440,plain,
% 14.60/10.34 (~until5(s385)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30439, 30418])).
% 14.60/10.34 tff(30441,plain,
% 14.60/10.34 (~xuntil6(s384)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26537, 30440])).
% 14.60/10.34 tff(30442,assumption,(~always3(s384)), introduced(assumption)).
% 14.60/10.34 tff(30443,plain,
% 14.60/10.34 (~always3(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26575, 30442])).
% 14.60/10.34 tff(30444,plain,
% 14.60/10.34 (~node4(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26579, 36, 30443])).
% 14.60/10.34 tff(30445,plain,
% 14.60/10.34 (~node4(s384)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26550, 36, 30442])).
% 14.60/10.34 tff(30446,assumption,(~xuntil6(s384)), introduced(assumption)).
% 14.60/10.34 tff(30447,plain,
% 14.60/10.34 (node4(s384) | (~until5(s384))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26557, 294, 30446])).
% 14.60/10.34 tff(30448,plain,
% 14.60/10.34 (~until5(s384)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30447, 30445])).
% 14.60/10.34 tff(30449,plain,
% 14.60/10.34 (~xuntil6(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26566, 30448])).
% 14.60/10.34 tff(30450,plain,
% 14.60/10.34 (~always3(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26604, 30443])).
% 14.60/10.34 tff(30451,plain,
% 14.60/10.34 (~node4(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26608, 36, 30450])).
% 14.60/10.34 tff(30452,plain,
% 14.60/10.34 (xuntil6(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30365, 30451])).
% 14.60/10.34 tff(30453,plain,
% 14.60/10.34 (until5(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26595, 30452])).
% 14.60/10.34 tff(30454,plain,
% 14.60/10.34 ($false),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26586, 294, 30453, 30449, 30444])).
% 14.60/10.34 tff(30455,plain,(always3(s384) | (~until5(s382)) | xuntil6(s384)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.34 tff(30456,plain,
% 14.60/10.34 (always3(s384)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30455, 30356, 30441])).
% 14.60/10.34 tff(30457,plain,
% 14.60/10.34 (always3(s385)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26546, 30456])).
% 14.60/10.34 tff(30458,plain,
% 14.60/10.34 (~m_main_v_state(s385, c_busy)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30411, 85, 30457])).
% 14.60/10.34 tff(30459,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s384)) | (~m_main_v_state(s384, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s384)) | (~m_main_v_state(s384, c_busy)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30460,plain,
% 14.60/10.34 (((~m_main_v_state(s384, c_busy)) | (~always3(s384))) <=> ((~always3(s384)) | (~m_main_v_state(s384, c_busy)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30461,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s384, c_busy)) | (~always3(s384)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s384)) | (~m_main_v_state(s384, c_busy))))),
% 14.60/10.34 inference(monotonicity,[status(thm)],[30460])).
% 14.60/10.34 tff(30462,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s384, c_busy)) | (~always3(s384)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s384)) | (~m_main_v_state(s384, c_busy)))),
% 14.60/10.34 inference(transitivity,[status(thm)],[30461, 30459])).
% 14.60/10.34 tff(30463,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s384, c_busy)) | (~always3(s384)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30464,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s384)) | (~m_main_v_state(s384, c_busy))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30463, 30462])).
% 14.60/10.34 tff(30465,plain,
% 14.60/10.34 (~m_main_v_state(s384, c_busy)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30464, 85, 30456])).
% 14.60/10.34 tff(30466,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s384, c_busy) | m_main_v_state(s384, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s384, c_busy) | m_main_v_state(s384, c_ready))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30467,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s384, c_busy) | m_main_v_state(s384, c_ready))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30468,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s384, c_busy) | m_main_v_state(s384, c_ready)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30467, 30466])).
% 14.60/10.34 tff(30469,plain,
% 14.60/10.34 (m_main_v_state(s384, c_ready)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30468, 102, 30465])).
% 14.60/10.34 tff(30470,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s384, s385)) | node2(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s384, s385)) | node2(s384, s385))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30471,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s384, s385)) | node2(s384, s385))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30472,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s384, s385)) | node2(s384, s385)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 14.60/10.34 tff(30473,plain,
% 14.60/10.34 (node2(s384, s385)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30472, 7, 26542])).
% 14.60/10.34 tff(30474,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s384, c_ready)) | (~node2(s384, s385)) | m_main_v_state(s385, c_busy) | (~m_main_v_request(s384)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s384, c_ready)) | (~node2(s384, s385)) | m_main_v_state(s385, c_busy) | (~m_main_v_request(s384)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30475,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s384, c_ready)) | (~node2(s384, s385)) | m_main_v_state(s385, c_busy) | (~m_main_v_request(s384)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30476,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s384, c_ready)) | (~node2(s384, s385)) | m_main_v_state(s385, c_busy) | (~m_main_v_request(s384))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30475, 30474])).
% 14.60/10.34 tff(30477,plain,
% 14.60/10.34 ((~m_main_v_state(s384, c_ready)) | m_main_v_state(s385, c_busy) | (~m_main_v_request(s384))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30476, 73, 30473])).
% 14.60/10.34 tff(30478,plain,
% 14.60/10.34 (~m_main_v_request(s384)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30477, 30469, 30458])).
% 14.60/10.34 tff(30479,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s384) | (~node4(s384)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s384) | (~node4(s384)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30480,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s384) | (~node4(s384)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30481,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s384) | (~node4(s384))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30480, 30479])).
% 14.60/10.34 tff(30482,plain,
% 14.60/10.34 (~node4(s384)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30481, 21, 30478])).
% 14.60/10.34 tff(30483,plain,
% 14.60/10.34 (node4(s384) | (~until5(s384))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26557, 294, 30441])).
% 14.60/10.34 tff(30484,plain,
% 14.60/10.34 (~until5(s384)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30483, 30482])).
% 14.60/10.34 tff(30485,plain,
% 14.60/10.34 (~xuntil6(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26566, 30484])).
% 14.60/10.34 tff(30486,assumption,(~always3(s383)), introduced(assumption)).
% 14.60/10.34 tff(30487,plain,
% 14.60/10.34 (~always3(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26604, 30486])).
% 14.60/10.34 tff(30488,plain,
% 14.60/10.34 (~node4(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26608, 36, 30487])).
% 14.60/10.34 tff(30489,plain,
% 14.60/10.34 (xuntil6(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30365, 30488])).
% 14.60/10.34 tff(30490,plain,
% 14.60/10.34 (until5(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26595, 30489])).
% 14.60/10.34 tff(30491,assumption,(~xuntil6(s383)), introduced(assumption)).
% 14.60/10.34 tff(30492,plain,
% 14.60/10.34 (node4(s383) | (~until5(s383))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26586, 294, 30491])).
% 14.60/10.34 tff(30493,plain,
% 14.60/10.34 (node4(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30492, 30490])).
% 14.60/10.34 tff(30494,plain,
% 14.60/10.34 ($false),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26579, 36, 30486, 30493])).
% 14.60/10.34 tff(30495,plain,(always3(s383) | xuntil6(s383) | (~until5(s382))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.34 tff(30496,plain,
% 14.60/10.34 (always3(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30495, 30485, 30356])).
% 14.60/10.34 tff(30497,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s383)) | (~m_main_v_state(s383, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s383)) | (~m_main_v_state(s383, c_busy)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30498,plain,
% 14.60/10.34 (((~m_main_v_state(s383, c_busy)) | (~always3(s383))) <=> ((~always3(s383)) | (~m_main_v_state(s383, c_busy)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30499,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s383, c_busy)) | (~always3(s383)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s383)) | (~m_main_v_state(s383, c_busy))))),
% 14.60/10.34 inference(monotonicity,[status(thm)],[30498])).
% 14.60/10.34 tff(30500,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s383, c_busy)) | (~always3(s383)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s383)) | (~m_main_v_state(s383, c_busy)))),
% 14.60/10.34 inference(transitivity,[status(thm)],[30499, 30497])).
% 14.60/10.34 tff(30501,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s383, c_busy)) | (~always3(s383)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30502,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s383)) | (~m_main_v_state(s383, c_busy))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30501, 30500])).
% 14.60/10.34 tff(30503,plain,
% 14.60/10.34 (~m_main_v_state(s383, c_busy)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30502, 85, 30496])).
% 14.60/10.34 tff(30504,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s383, c_busy) | m_main_v_state(s383, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s383, c_busy) | m_main_v_state(s383, c_ready))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30505,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s383, c_busy) | m_main_v_state(s383, c_ready))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30506,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s383, c_busy) | m_main_v_state(s383, c_ready)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30505, 30504])).
% 14.60/10.34 tff(30507,plain,
% 14.60/10.34 (m_main_v_state(s383, c_ready)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30506, 102, 30503])).
% 14.60/10.34 tff(30508,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s383, s384)) | node2(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s383, s384)) | node2(s383, s384))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30509,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s383, s384)) | node2(s383, s384))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30510,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s383, s384)) | node2(s383, s384)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30509, 30508])).
% 14.60/10.34 tff(30511,plain,
% 14.60/10.34 (node2(s383, s384)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30510, 7, 26571])).
% 14.60/10.34 tff(30512,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s383, c_ready)) | (~node2(s383, s384)) | m_main_v_state(s384, c_busy) | (~m_main_v_request(s383)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s383, c_ready)) | (~node2(s383, s384)) | m_main_v_state(s384, c_busy) | (~m_main_v_request(s383)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30513,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s383, c_ready)) | (~node2(s383, s384)) | m_main_v_state(s384, c_busy) | (~m_main_v_request(s383)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30514,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s383, c_ready)) | (~node2(s383, s384)) | m_main_v_state(s384, c_busy) | (~m_main_v_request(s383))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30513, 30512])).
% 14.60/10.34 tff(30515,plain,
% 14.60/10.34 ((~m_main_v_state(s383, c_ready)) | m_main_v_state(s384, c_busy) | (~m_main_v_request(s383))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30514, 73, 30511])).
% 14.60/10.34 tff(30516,plain,
% 14.60/10.34 (~m_main_v_request(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30515, 30507, 30465])).
% 14.60/10.34 tff(30517,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s383) | (~node4(s383)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s383) | (~node4(s383)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30518,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s383) | (~node4(s383)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30519,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s383) | (~node4(s383))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30518, 30517])).
% 14.60/10.34 tff(30520,plain,
% 14.60/10.34 (~node4(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30519, 21, 30516])).
% 14.60/10.34 tff(30521,plain,
% 14.60/10.34 (node4(s383) | (~until5(s383))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26586, 294, 30485])).
% 14.60/10.34 tff(30522,plain,
% 14.60/10.34 (~until5(s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30521, 30520])).
% 14.60/10.34 tff(30523,plain,
% 14.60/10.34 (~xuntil6(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26595, 30522])).
% 14.60/10.34 tff(30524,plain,
% 14.60/10.34 (node4(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30365, 30523])).
% 14.60/10.34 tff(30525,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s382) | (~node4(s382)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s382) | (~node4(s382)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30526,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s382) | (~node4(s382)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30527,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s382) | (~node4(s382))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30526, 30525])).
% 14.60/10.34 tff(30528,plain,
% 14.60/10.34 (m_main_v_request(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30527, 21, 30524])).
% 14.60/10.34 tff(30529,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s382, s383)) | node2(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s382, s383)) | node2(s382, s383))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30530,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s382, s383)) | node2(s382, s383))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30531,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s382, s383)) | node2(s382, s383)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30530, 30529])).
% 14.60/10.34 tff(30532,plain,
% 14.60/10.34 (node2(s382, s383)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30531, 7, 26600])).
% 14.60/10.34 tff(30533,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s382, c_ready)) | (~node2(s382, s383)) | m_main_v_state(s383, c_busy) | (~m_main_v_request(s382)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s382, c_ready)) | (~node2(s382, s383)) | m_main_v_state(s383, c_busy) | (~m_main_v_request(s382)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30534,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s382, c_ready)) | (~node2(s382, s383)) | m_main_v_state(s383, c_busy) | (~m_main_v_request(s382)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30535,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s382, c_ready)) | (~node2(s382, s383)) | m_main_v_state(s383, c_busy) | (~m_main_v_request(s382))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30534, 30533])).
% 14.60/10.34 tff(30536,plain,
% 14.60/10.34 ((~m_main_v_state(s382, c_ready)) | m_main_v_state(s383, c_busy) | (~m_main_v_request(s382))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30535, 73, 30532])).
% 14.60/10.34 tff(30537,plain,
% 14.60/10.34 (~m_main_v_state(s382, c_ready)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30536, 30528, 30503])).
% 14.60/10.34 tff(30538,plain,
% 14.60/10.34 (always3(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26608, 36, 30524])).
% 14.60/10.34 tff(30539,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s382)) | (~m_main_v_state(s382, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s382)) | (~m_main_v_state(s382, c_busy)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30540,plain,
% 14.60/10.34 (((~m_main_v_state(s382, c_busy)) | (~always3(s382))) <=> ((~always3(s382)) | (~m_main_v_state(s382, c_busy)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30541,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s382, c_busy)) | (~always3(s382)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s382)) | (~m_main_v_state(s382, c_busy))))),
% 14.60/10.34 inference(monotonicity,[status(thm)],[30540])).
% 14.60/10.34 tff(30542,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s382, c_busy)) | (~always3(s382)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s382)) | (~m_main_v_state(s382, c_busy)))),
% 14.60/10.34 inference(transitivity,[status(thm)],[30541, 30539])).
% 14.60/10.34 tff(30543,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s382, c_busy)) | (~always3(s382)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30544,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s382)) | (~m_main_v_state(s382, c_busy))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30543, 30542])).
% 14.60/10.34 tff(30545,plain,
% 14.60/10.34 (~m_main_v_state(s382, c_busy)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30544, 85, 30538])).
% 14.60/10.34 tff(30546,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s382, c_busy) | m_main_v_state(s382, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s382, c_busy) | m_main_v_state(s382, c_ready))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30547,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s382, c_busy) | m_main_v_state(s382, c_ready))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30548,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s382, c_busy) | m_main_v_state(s382, c_ready)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30547, 30546])).
% 14.60/10.34 tff(30549,plain,
% 14.60/10.34 ($false),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30548, 102, 30545, 30537])).
% 14.60/10.34 tff(30550,plain,((~until5(s382)) | xuntil6(s386) | m_main_v_state(s387, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.34 tff(30551,plain,
% 14.60/10.34 (m_main_v_state(s387, c_busy)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30550, 30357, 30356])).
% 14.60/10.34 tff(30552,plain,
% 14.60/10.34 (always3(s386)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30381, 30357, 30356])).
% 14.60/10.34 tff(30553,plain,
% 14.60/10.34 (always3(s387)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26488, 30552])).
% 14.60/10.34 tff(30554,plain,
% 14.60/10.34 ($false),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30347, 85, 30553, 30551])).
% 14.60/10.34 tff(30555,plain,(xuntil6(s386) | (~until5(s382))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.34 tff(30556,plain,
% 14.60/10.34 (~until5(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30555, 30355])).
% 14.60/10.34 tff(30557,plain,
% 14.60/10.34 (~xuntil6(s381)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26624, 30556])).
% 14.60/10.34 tff(30558,assumption,(~xuntil6(s381)), introduced(assumption)).
% 14.60/10.34 tff(30559,assumption,(~always3(s381)), introduced(assumption)).
% 14.60/10.34 tff(30560,plain,
% 14.60/10.34 (~always3(s380)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26662, 30559])).
% 14.60/10.34 tff(30561,plain,
% 14.60/10.34 (~node4(s380)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26666, 36, 30560])).
% 14.60/10.34 tff(30562,plain,
% 14.60/10.34 (~node4(s381)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26637, 36, 30559])).
% 14.60/10.34 tff(30563,plain,
% 14.60/10.34 (node4(s381) | (~until5(s381))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26644, 294, 30558])).
% 14.60/10.34 tff(30564,plain,
% 14.60/10.34 (~until5(s381)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30563, 30562])).
% 14.60/10.34 tff(30565,plain,
% 14.60/10.34 (~xuntil6(s380)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26653, 30564])).
% 14.60/10.34 tff(30566,plain,
% 14.60/10.34 (~until5(s380)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26673, 294, 30565, 30561])).
% 14.60/10.34 tff(30567,plain,
% 14.60/10.34 (~xuntil6(s379)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26682, 30566])).
% 14.60/10.34 tff(30568,plain,
% 14.60/10.34 (~always3(s379)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26691, 30560])).
% 14.60/10.34 tff(30569,plain,
% 14.60/10.34 (~node4(s379)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26695, 36, 30568])).
% 14.60/10.34 tff(30570,plain,
% 14.60/10.34 (xuntil6(s379) | (~until5(s379))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26702, 294, 30569])).
% 14.60/10.34 tff(30571,plain,
% 14.60/10.34 (~until5(s379)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30570, 30567])).
% 14.60/10.34 tff(30572,plain,
% 14.60/10.34 (~xuntil6(s378)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26711, 30571])).
% 14.60/10.34 tff(30573,plain,
% 14.60/10.34 (~always3(s378)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26720, 30568])).
% 14.60/10.34 tff(30574,plain,
% 14.60/10.34 (~node4(s378)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26724, 36, 30573])).
% 14.60/10.34 tff(30575,plain,
% 14.60/10.34 (xuntil6(s378) | (~until5(s378))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26731, 294, 30574])).
% 14.60/10.34 tff(30576,plain,
% 14.60/10.34 (~until5(s378)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30575, 30572])).
% 14.60/10.34 tff(30577,plain,
% 14.60/10.34 (~xuntil6(s377)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26740, 30576])).
% 14.60/10.34 tff(30578,plain,
% 14.60/10.34 (~always3(s377)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26749, 30573])).
% 14.60/10.34 tff(30579,plain,
% 14.60/10.34 (~node4(s377)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26753, 36, 30578])).
% 14.60/10.34 tff(30580,plain,
% 14.60/10.34 (xuntil6(s377) | (~until5(s377))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26760, 294, 30579])).
% 14.60/10.34 tff(30581,plain,
% 14.60/10.34 (~until5(s377)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30580, 30577])).
% 14.60/10.34 tff(30582,plain,
% 14.60/10.34 (~xuntil6(s376)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26769, 30581])).
% 14.60/10.34 tff(30583,plain,
% 14.60/10.34 (~always3(s376)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26778, 30578])).
% 14.60/10.34 tff(30584,plain,
% 14.60/10.34 (~node4(s376)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26782, 36, 30583])).
% 14.60/10.34 tff(30585,plain,
% 14.60/10.34 (xuntil6(s376) | (~until5(s376))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26789, 294, 30584])).
% 14.60/10.34 tff(30586,plain,
% 14.60/10.34 (~until5(s376)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30585, 30582])).
% 14.60/10.34 tff(30587,plain,
% 14.60/10.34 (~xuntil6(s375)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26798, 30586])).
% 14.60/10.34 tff(30588,plain,
% 14.60/10.34 (~always3(s375)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26807, 30583])).
% 14.60/10.34 tff(30589,plain,
% 14.60/10.34 (~always3(s374)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26836, 30588])).
% 14.60/10.34 tff(30590,plain,
% 14.60/10.34 (~always3(s373)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26865, 30589])).
% 14.60/10.34 tff(30591,plain,
% 14.60/10.34 (~always3(s372)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26894, 30590])).
% 14.60/10.34 tff(30592,plain,
% 14.60/10.34 (~always3(s371)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26923, 30591])).
% 14.60/10.34 tff(30593,plain,
% 14.60/10.34 (~always3(s370)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26952, 30592])).
% 14.60/10.34 tff(30594,plain,
% 14.60/10.34 (~node4(s370)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26956, 36, 30593])).
% 14.60/10.34 tff(30595,plain,
% 14.60/10.34 (~always3(s369)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26981, 30593])).
% 14.60/10.34 tff(30596,plain,
% 14.60/10.34 (~node4(s369)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26985, 36, 30595])).
% 14.60/10.34 tff(30597,plain,
% 14.60/10.34 (xuntil6(s369)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[29442, 30596])).
% 14.60/10.34 tff(30598,plain,
% 14.60/10.34 (until5(s370)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26972, 30597])).
% 14.60/10.34 tff(30599,plain,
% 14.60/10.34 (xuntil6(s370)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26963, 294, 30598, 30594])).
% 14.60/10.34 tff(30600,plain,
% 14.60/10.34 (until5(s371)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26943, 30599])).
% 14.60/10.34 tff(30601,plain,
% 14.60/10.34 (~node4(s371)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26927, 36, 30592])).
% 14.60/10.34 tff(30602,plain,
% 14.60/10.34 (xuntil6(s371) | (~until5(s371))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26934, 294, 30601])).
% 14.60/10.34 tff(30603,plain,
% 14.60/10.34 (xuntil6(s371)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30602, 30600])).
% 14.60/10.34 tff(30604,plain,
% 14.60/10.34 (until5(s372)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26914, 30603])).
% 14.60/10.34 tff(30605,plain,
% 14.60/10.34 (~node4(s372)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26898, 36, 30591])).
% 14.60/10.34 tff(30606,plain,
% 14.60/10.34 (xuntil6(s372) | (~until5(s372))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26905, 294, 30605])).
% 14.60/10.34 tff(30607,plain,
% 14.60/10.34 (xuntil6(s372)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30606, 30604])).
% 14.60/10.34 tff(30608,plain,
% 14.60/10.34 (until5(s373)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26885, 30607])).
% 14.60/10.34 tff(30609,plain,
% 14.60/10.34 (~node4(s373)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26869, 36, 30590])).
% 14.60/10.34 tff(30610,plain,
% 14.60/10.34 (xuntil6(s373) | (~until5(s373))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26876, 294, 30609])).
% 14.60/10.34 tff(30611,plain,
% 14.60/10.34 (xuntil6(s373)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30610, 30608])).
% 14.60/10.34 tff(30612,plain,
% 14.60/10.34 (until5(s374)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26856, 30611])).
% 14.60/10.34 tff(30613,plain,
% 14.60/10.34 (~node4(s374)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26840, 36, 30589])).
% 14.60/10.34 tff(30614,plain,
% 14.60/10.34 (xuntil6(s374) | (~until5(s374))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26847, 294, 30613])).
% 14.60/10.34 tff(30615,plain,
% 14.60/10.34 (xuntil6(s374)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30614, 30612])).
% 14.60/10.34 tff(30616,plain,
% 14.60/10.34 (until5(s375)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26827, 30615])).
% 14.60/10.34 tff(30617,plain,
% 14.60/10.34 (~node4(s375)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26811, 36, 30588])).
% 14.60/10.34 tff(30618,plain,
% 14.60/10.34 (xuntil6(s375) | (~until5(s375))),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26818, 294, 30617])).
% 14.60/10.34 tff(30619,plain,
% 14.60/10.34 ($false),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30618, 30616, 30587])).
% 14.60/10.34 tff(30620,plain,(always3(s381) | (~until5(s369)) | xuntil6(s381)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.34 tff(30621,plain,
% 14.60/10.34 (always3(s381)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30620, 30558, 29430])).
% 14.60/10.34 tff(30622,plain,
% 14.60/10.34 (always3(s382)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[26633, 30621])).
% 14.60/10.34 tff(30623,plain,
% 14.60/10.34 (~m_main_v_state(s382, c_busy)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30544, 85, 30622])).
% 14.60/10.34 tff(30624,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s381)) | (~m_main_v_state(s381, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s381)) | (~m_main_v_state(s381, c_busy)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30625,plain,
% 14.60/10.34 (((~m_main_v_state(s381, c_busy)) | (~always3(s381))) <=> ((~always3(s381)) | (~m_main_v_state(s381, c_busy)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30626,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s381, c_busy)) | (~always3(s381)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s381)) | (~m_main_v_state(s381, c_busy))))),
% 14.60/10.34 inference(monotonicity,[status(thm)],[30625])).
% 14.60/10.34 tff(30627,plain,
% 14.60/10.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s381, c_busy)) | (~always3(s381)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s381)) | (~m_main_v_state(s381, c_busy)))),
% 14.60/10.34 inference(transitivity,[status(thm)],[30626, 30624])).
% 14.60/10.34 tff(30628,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s381, c_busy)) | (~always3(s381)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30629,plain,
% 14.60/10.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s381)) | (~m_main_v_state(s381, c_busy))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30628, 30627])).
% 14.60/10.34 tff(30630,plain,
% 14.60/10.34 (~m_main_v_state(s381, c_busy)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30629, 85, 30621])).
% 14.60/10.34 tff(30631,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s381, c_busy) | m_main_v_state(s381, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s381, c_busy) | m_main_v_state(s381, c_ready))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30632,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s381, c_busy) | m_main_v_state(s381, c_ready))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30633,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s381, c_busy) | m_main_v_state(s381, c_ready)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30632, 30631])).
% 14.60/10.34 tff(30634,plain,
% 14.60/10.34 (m_main_v_state(s381, c_ready)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30633, 102, 30630])).
% 14.60/10.34 tff(30635,assumption,(~m_main_v_state(s381, c_busy)), introduced(assumption)).
% 14.60/10.34 tff(30636,assumption,(node4(s380)), introduced(assumption)).
% 14.60/10.34 tff(30637,plain,
% 14.60/10.34 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s380) | (~node4(s380)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s380) | (~node4(s380)))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30638,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s380) | (~node4(s380)))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30639,plain,
% 14.60/10.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s380) | (~node4(s380))),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30638, 30637])).
% 14.60/10.34 tff(30640,plain,
% 14.60/10.34 (m_main_v_request(s380)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30639, 21, 30636])).
% 14.60/10.34 tff(30641,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s380, s381)) | node2(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s380, s381)) | node2(s380, s381))),
% 14.60/10.34 inference(rewrite,[status(thm)],[])).
% 14.60/10.34 tff(30642,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s380, s381)) | node2(s380, s381))),
% 14.60/10.34 inference(quant_inst,[status(thm)],[])).
% 14.60/10.34 tff(30643,plain,
% 14.60/10.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s380, s381)) | node2(s380, s381)),
% 14.60/10.34 inference(modus_ponens,[status(thm)],[30642, 30641])).
% 14.60/10.34 tff(30644,plain,
% 14.60/10.34 (node2(s380, s381)),
% 14.60/10.34 inference(unit_resolution,[status(thm)],[30643, 7, 26658])).
% 14.60/10.34 tff(30645,plain,
% 14.60/10.34 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s380, c_ready)) | (~node2(s380, s381)) | m_main_v_state(s381, c_busy) | (~m_main_v_request(s380)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s380, c_ready)) | (~node2(s380, s381)) | m_main_v_state(s381, c_busy) | (~m_main_v_request(s380)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30646,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s380, c_ready)) | (~node2(s380, s381)) | m_main_v_state(s381, c_busy) | (~m_main_v_request(s380)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30647,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s380, c_ready)) | (~node2(s380, s381)) | m_main_v_state(s381, c_busy) | (~m_main_v_request(s380))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30646, 30645])).
% 14.60/10.35 tff(30648,plain,
% 14.60/10.35 ((~m_main_v_state(s380, c_ready)) | m_main_v_state(s381, c_busy) | (~m_main_v_request(s380))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30647, 73, 30644])).
% 14.60/10.35 tff(30649,plain,
% 14.60/10.35 (~m_main_v_state(s380, c_ready)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30648, 30640, 30635])).
% 14.60/10.35 tff(30650,plain,
% 14.60/10.35 (always3(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26666, 36, 30636])).
% 14.60/10.35 tff(30651,plain,
% 14.60/10.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s380)) | (~m_main_v_state(s380, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s380)) | (~m_main_v_state(s380, c_busy)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30652,plain,
% 14.60/10.35 (((~m_main_v_state(s380, c_busy)) | (~always3(s380))) <=> ((~always3(s380)) | (~m_main_v_state(s380, c_busy)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30653,plain,
% 14.60/10.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s380, c_busy)) | (~always3(s380)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s380)) | (~m_main_v_state(s380, c_busy))))),
% 14.60/10.35 inference(monotonicity,[status(thm)],[30652])).
% 14.60/10.35 tff(30654,plain,
% 14.60/10.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s380, c_busy)) | (~always3(s380)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s380)) | (~m_main_v_state(s380, c_busy)))),
% 14.60/10.35 inference(transitivity,[status(thm)],[30653, 30651])).
% 14.60/10.35 tff(30655,plain,
% 14.60/10.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s380, c_busy)) | (~always3(s380)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30656,plain,
% 14.60/10.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s380)) | (~m_main_v_state(s380, c_busy))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30655, 30654])).
% 14.60/10.35 tff(30657,plain,
% 14.60/10.35 (~m_main_v_state(s380, c_busy)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30656, 85, 30650])).
% 14.60/10.35 tff(30658,plain,
% 14.60/10.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s380, c_busy) | m_main_v_state(s380, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s380, c_busy) | m_main_v_state(s380, c_ready))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30659,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s380, c_busy) | m_main_v_state(s380, c_ready))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30660,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s380, c_busy) | m_main_v_state(s380, c_ready)),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 14.60/10.35 tff(30661,plain,
% 14.60/10.35 ($false),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30660, 102, 30657, 30649])).
% 14.60/10.35 tff(30662,plain,((~node4(s380)) | m_main_v_state(s381, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.35 tff(30663,plain,
% 14.60/10.35 (~node4(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30662, 30630])).
% 14.60/10.35 tff(30664,assumption,(until5(s380)), introduced(assumption)).
% 14.60/10.35 tff(30665,plain,
% 14.60/10.35 (xuntil6(s380) | node4(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26673, 294, 30664])).
% 14.60/10.35 tff(30666,plain,
% 14.60/10.35 (xuntil6(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30665, 30663])).
% 14.60/10.35 tff(30667,plain,
% 14.60/10.35 (until5(s381)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26653, 30666])).
% 14.60/10.35 tff(30668,plain,
% 14.60/10.35 (node4(s381)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30563, 30667])).
% 14.60/10.35 tff(30669,plain,
% 14.60/10.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s381) | (~node4(s381)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s381) | (~node4(s381)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30670,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s381) | (~node4(s381)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30671,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s381) | (~node4(s381))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30670, 30669])).
% 14.60/10.35 tff(30672,plain,
% 14.60/10.35 (m_main_v_request(s381)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30671, 21, 30668])).
% 14.60/10.35 tff(30673,plain,
% 14.60/10.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s381, s382)) | node2(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s381, s382)) | node2(s381, s382))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30674,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s381, s382)) | node2(s381, s382))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30675,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s381, s382)) | node2(s381, s382)),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30674, 30673])).
% 14.60/10.35 tff(30676,plain,
% 14.60/10.35 (node2(s381, s382)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30675, 7, 26629])).
% 14.60/10.35 tff(30677,plain,
% 14.60/10.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s381, c_ready)) | (~node2(s381, s382)) | m_main_v_state(s382, c_busy) | (~m_main_v_request(s381)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s381, c_ready)) | (~node2(s381, s382)) | m_main_v_state(s382, c_busy) | (~m_main_v_request(s381)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30678,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s381, c_ready)) | (~node2(s381, s382)) | m_main_v_state(s382, c_busy) | (~m_main_v_request(s381)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30679,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s381, c_ready)) | (~node2(s381, s382)) | m_main_v_state(s382, c_busy) | (~m_main_v_request(s381))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30678, 30677])).
% 14.60/10.35 tff(30680,plain,
% 14.60/10.35 ((~m_main_v_state(s381, c_ready)) | m_main_v_state(s382, c_busy) | (~m_main_v_request(s381))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30679, 73, 30676])).
% 14.60/10.35 tff(30681,plain,
% 14.60/10.35 ($false),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30680, 30672, 30634, 30623])).
% 14.60/10.35 tff(30682,plain,(xuntil6(s381) | (~until5(s380)) | (~until5(s369))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.35 tff(30683,plain,
% 14.60/10.35 (~until5(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30682, 30557, 29429])).
% 14.60/10.35 tff(30684,plain,
% 14.60/10.35 (~xuntil6(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26682, 30683])).
% 14.60/10.35 tff(30685,assumption,(~xuntil6(s379)), introduced(assumption)).
% 14.60/10.35 tff(30686,assumption,(~always3(s379)), introduced(assumption)).
% 14.60/10.35 tff(30687,plain,
% 14.60/10.35 (~always3(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26720, 30686])).
% 14.60/10.35 tff(30688,plain,
% 14.60/10.35 (~node4(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26724, 36, 30687])).
% 14.60/10.35 tff(30689,plain,
% 14.60/10.35 (~node4(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26695, 36, 30686])).
% 14.60/10.35 tff(30690,plain,
% 14.60/10.35 (node4(s379) | (~until5(s379))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26702, 294, 30685])).
% 14.60/10.35 tff(30691,plain,
% 14.60/10.35 (~until5(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30690, 30689])).
% 14.60/10.35 tff(30692,plain,
% 14.60/10.35 (~xuntil6(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26711, 30691])).
% 14.60/10.35 tff(30693,plain,
% 14.60/10.35 (~until5(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26731, 294, 30692, 30688])).
% 14.60/10.35 tff(30694,plain,
% 14.60/10.35 (~xuntil6(s377)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26740, 30693])).
% 14.60/10.35 tff(30695,plain,
% 14.60/10.35 (~always3(s377)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26749, 30687])).
% 14.60/10.35 tff(30696,plain,
% 14.60/10.35 (~node4(s377)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26753, 36, 30695])).
% 14.60/10.35 tff(30697,plain,
% 14.60/10.35 (xuntil6(s377) | (~until5(s377))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26760, 294, 30696])).
% 14.60/10.35 tff(30698,plain,
% 14.60/10.35 (~until5(s377)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30697, 30694])).
% 14.60/10.35 tff(30699,plain,
% 14.60/10.35 (~xuntil6(s376)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26769, 30698])).
% 14.60/10.35 tff(30700,plain,
% 14.60/10.35 (~always3(s376)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26778, 30695])).
% 14.60/10.35 tff(30701,plain,
% 14.60/10.35 (~node4(s376)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26782, 36, 30700])).
% 14.60/10.35 tff(30702,plain,
% 14.60/10.35 (xuntil6(s376) | (~until5(s376))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26789, 294, 30701])).
% 14.60/10.35 tff(30703,plain,
% 14.60/10.35 (~until5(s376)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30702, 30699])).
% 14.60/10.35 tff(30704,plain,
% 14.60/10.35 (~xuntil6(s375)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26798, 30703])).
% 14.60/10.35 tff(30705,plain,
% 14.60/10.35 (~always3(s375)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26807, 30700])).
% 14.60/10.35 tff(30706,plain,
% 14.60/10.35 (~node4(s375)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26811, 36, 30705])).
% 14.60/10.35 tff(30707,plain,
% 14.60/10.35 (xuntil6(s375) | (~until5(s375))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26818, 294, 30706])).
% 14.60/10.35 tff(30708,plain,
% 14.60/10.35 (~until5(s375)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30707, 30704])).
% 14.60/10.35 tff(30709,plain,
% 14.60/10.35 (~xuntil6(s374)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26827, 30708])).
% 14.60/10.35 tff(30710,plain,
% 14.60/10.35 (~always3(s374)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26836, 30705])).
% 14.60/10.35 tff(30711,plain,
% 14.60/10.35 (~always3(s373)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26865, 30710])).
% 14.60/10.35 tff(30712,plain,
% 14.60/10.35 (~always3(s372)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26894, 30711])).
% 14.60/10.35 tff(30713,plain,
% 14.60/10.35 (~always3(s371)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26923, 30712])).
% 14.60/10.35 tff(30714,plain,
% 14.60/10.35 (~always3(s370)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26952, 30713])).
% 14.60/10.35 tff(30715,plain,
% 14.60/10.35 (~node4(s370)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26956, 36, 30714])).
% 14.60/10.35 tff(30716,plain,
% 14.60/10.35 (~always3(s369)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26981, 30714])).
% 14.60/10.35 tff(30717,plain,
% 14.60/10.35 (~node4(s369)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26985, 36, 30716])).
% 14.60/10.35 tff(30718,plain,
% 14.60/10.35 (xuntil6(s369)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[29442, 30717])).
% 14.60/10.35 tff(30719,plain,
% 14.60/10.35 (until5(s370)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26972, 30718])).
% 14.60/10.35 tff(30720,plain,
% 14.60/10.35 (xuntil6(s370)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26963, 294, 30719, 30715])).
% 14.60/10.35 tff(30721,plain,
% 14.60/10.35 (until5(s371)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26943, 30720])).
% 14.60/10.35 tff(30722,plain,
% 14.60/10.35 (~node4(s371)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26927, 36, 30713])).
% 14.60/10.35 tff(30723,plain,
% 14.60/10.35 (xuntil6(s371) | (~until5(s371))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26934, 294, 30722])).
% 14.60/10.35 tff(30724,plain,
% 14.60/10.35 (xuntil6(s371)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30723, 30721])).
% 14.60/10.35 tff(30725,plain,
% 14.60/10.35 (until5(s372)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26914, 30724])).
% 14.60/10.35 tff(30726,plain,
% 14.60/10.35 (~node4(s372)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26898, 36, 30712])).
% 14.60/10.35 tff(30727,plain,
% 14.60/10.35 (xuntil6(s372) | (~until5(s372))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26905, 294, 30726])).
% 14.60/10.35 tff(30728,plain,
% 14.60/10.35 (xuntil6(s372)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30727, 30725])).
% 14.60/10.35 tff(30729,plain,
% 14.60/10.35 (until5(s373)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26885, 30728])).
% 14.60/10.35 tff(30730,plain,
% 14.60/10.35 (~node4(s373)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26869, 36, 30711])).
% 14.60/10.35 tff(30731,plain,
% 14.60/10.35 (xuntil6(s373) | (~until5(s373))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26876, 294, 30730])).
% 14.60/10.35 tff(30732,plain,
% 14.60/10.35 (xuntil6(s373)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30731, 30729])).
% 14.60/10.35 tff(30733,plain,
% 14.60/10.35 (until5(s374)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26856, 30732])).
% 14.60/10.35 tff(30734,plain,
% 14.60/10.35 (~node4(s374)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26840, 36, 30710])).
% 14.60/10.35 tff(30735,plain,
% 14.60/10.35 (xuntil6(s374) | (~until5(s374))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26847, 294, 30734])).
% 14.60/10.35 tff(30736,plain,
% 14.60/10.35 ($false),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30735, 30733, 30709])).
% 14.60/10.35 tff(30737,plain,(always3(s379) | (~until5(s369)) | xuntil6(s379)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.35 tff(30738,plain,
% 14.60/10.35 (always3(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30737, 30685, 29430])).
% 14.60/10.35 tff(30739,plain,
% 14.60/10.35 (always3(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26691, 30738])).
% 14.60/10.35 tff(30740,plain,
% 14.60/10.35 (~m_main_v_state(s380, c_busy)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30656, 85, 30739])).
% 14.60/10.35 tff(30741,assumption,(until5(s379)), introduced(assumption)).
% 14.60/10.35 tff(30742,plain,
% 14.60/10.35 (xuntil6(s379) | node4(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26702, 294, 30741])).
% 14.60/10.35 tff(30743,plain,
% 14.60/10.35 (node4(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30742, 30685])).
% 14.60/10.35 tff(30744,plain,
% 14.60/10.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s379) | (~node4(s379)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s379) | (~node4(s379)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30745,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s379) | (~node4(s379)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30746,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s379) | (~node4(s379))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30745, 30744])).
% 14.60/10.35 tff(30747,plain,
% 14.60/10.35 (m_main_v_request(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30746, 21, 30743])).
% 14.60/10.35 tff(30748,plain,
% 14.60/10.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s379, s380)) | node2(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s379, s380)) | node2(s379, s380))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30749,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s379, s380)) | node2(s379, s380))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30750,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s379, s380)) | node2(s379, s380)),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30749, 30748])).
% 14.60/10.35 tff(30751,plain,
% 14.60/10.35 (node2(s379, s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30750, 7, 26687])).
% 14.60/10.35 tff(30752,plain,
% 14.60/10.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s379, c_ready)) | (~node2(s379, s380)) | m_main_v_state(s380, c_busy) | (~m_main_v_request(s379)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s379, c_ready)) | (~node2(s379, s380)) | m_main_v_state(s380, c_busy) | (~m_main_v_request(s379)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30753,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s379, c_ready)) | (~node2(s379, s380)) | m_main_v_state(s380, c_busy) | (~m_main_v_request(s379)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30754,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s379, c_ready)) | (~node2(s379, s380)) | m_main_v_state(s380, c_busy) | (~m_main_v_request(s379))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 14.60/10.35 tff(30755,plain,
% 14.60/10.35 ((~m_main_v_state(s379, c_ready)) | m_main_v_state(s380, c_busy) | (~m_main_v_request(s379))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30754, 73, 30751])).
% 14.60/10.35 tff(30756,plain,
% 14.60/10.35 (~m_main_v_state(s379, c_ready)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30755, 30747, 30740])).
% 14.60/10.35 tff(30757,plain,
% 14.60/10.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s379)) | (~m_main_v_state(s379, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s379)) | (~m_main_v_state(s379, c_busy)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30758,plain,
% 14.60/10.35 (((~m_main_v_state(s379, c_busy)) | (~always3(s379))) <=> ((~always3(s379)) | (~m_main_v_state(s379, c_busy)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30759,plain,
% 14.60/10.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s379, c_busy)) | (~always3(s379)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s379)) | (~m_main_v_state(s379, c_busy))))),
% 14.60/10.35 inference(monotonicity,[status(thm)],[30758])).
% 14.60/10.35 tff(30760,plain,
% 14.60/10.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s379, c_busy)) | (~always3(s379)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s379)) | (~m_main_v_state(s379, c_busy)))),
% 14.60/10.35 inference(transitivity,[status(thm)],[30759, 30757])).
% 14.60/10.35 tff(30761,plain,
% 14.60/10.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s379, c_busy)) | (~always3(s379)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30762,plain,
% 14.60/10.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s379)) | (~m_main_v_state(s379, c_busy))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 14.60/10.35 tff(30763,plain,
% 14.60/10.35 (~m_main_v_state(s379, c_busy)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30762, 85, 30738])).
% 14.60/10.35 tff(30764,plain,
% 14.60/10.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s379, c_busy) | m_main_v_state(s379, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s379, c_busy) | m_main_v_state(s379, c_ready))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30765,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s379, c_busy) | m_main_v_state(s379, c_ready))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30766,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s379, c_busy) | m_main_v_state(s379, c_ready)),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30765, 30764])).
% 14.60/10.35 tff(30767,plain,
% 14.60/10.35 ($false),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30766, 102, 30763, 30756])).
% 14.60/10.35 tff(30768,plain,(xuntil6(s379) | (~until5(s379)) | (~until5(s369))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.35 tff(30769,plain,
% 14.60/10.35 (~until5(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30768, 30685, 29430])).
% 14.60/10.35 tff(30770,plain,
% 14.60/10.35 (~xuntil6(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26711, 30769])).
% 14.60/10.35 tff(30771,assumption,(until5(s378)), introduced(assumption)).
% 14.60/10.35 tff(30772,plain,
% 14.60/10.35 (xuntil6(s378) | node4(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26731, 294, 30771])).
% 14.60/10.35 tff(30773,plain,
% 14.60/10.35 (node4(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30772, 30770])).
% 14.60/10.35 tff(30774,assumption,(~m_main_v_state(s379, c_busy)), introduced(assumption)).
% 14.60/10.35 tff(30775,assumption,(node4(s378)), introduced(assumption)).
% 14.60/10.35 tff(30776,plain,
% 14.60/10.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s378) | (~node4(s378)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s378) | (~node4(s378)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30777,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s378) | (~node4(s378)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30778,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s378) | (~node4(s378))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30777, 30776])).
% 14.60/10.35 tff(30779,plain,
% 14.60/10.35 (m_main_v_request(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30778, 21, 30775])).
% 14.60/10.35 tff(30780,plain,
% 14.60/10.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s378, s379)) | node2(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s378, s379)) | node2(s378, s379))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30781,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s378, s379)) | node2(s378, s379))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30782,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s378, s379)) | node2(s378, s379)),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30781, 30780])).
% 14.60/10.35 tff(30783,plain,
% 14.60/10.35 (node2(s378, s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30782, 7, 26716])).
% 14.60/10.35 tff(30784,plain,
% 14.60/10.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s378, c_ready)) | (~node2(s378, s379)) | m_main_v_state(s379, c_busy) | (~m_main_v_request(s378)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s378, c_ready)) | (~node2(s378, s379)) | m_main_v_state(s379, c_busy) | (~m_main_v_request(s378)))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30785,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s378, c_ready)) | (~node2(s378, s379)) | m_main_v_state(s379, c_busy) | (~m_main_v_request(s378)))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30786,plain,
% 14.60/10.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s378, c_ready)) | (~node2(s378, s379)) | m_main_v_state(s379, c_busy) | (~m_main_v_request(s378))),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30785, 30784])).
% 14.60/10.35 tff(30787,plain,
% 14.60/10.35 ((~m_main_v_state(s378, c_ready)) | m_main_v_state(s379, c_busy) | (~m_main_v_request(s378))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30786, 73, 30783])).
% 14.60/10.35 tff(30788,plain,
% 14.60/10.35 (~m_main_v_state(s378, c_ready)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30787, 30779, 30774])).
% 14.60/10.35 tff(30789,plain,
% 14.60/10.35 (always3(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26724, 36, 30775])).
% 14.60/10.35 tff(30790,plain,
% 14.60/10.35 (~m_main_v_state(s378, c_busy)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[29749, 85, 30789])).
% 14.60/10.35 tff(30791,plain,
% 14.60/10.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s378, c_busy) | m_main_v_state(s378, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s378, c_busy) | m_main_v_state(s378, c_ready))),
% 14.60/10.35 inference(rewrite,[status(thm)],[])).
% 14.60/10.35 tff(30792,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s378, c_busy) | m_main_v_state(s378, c_ready))),
% 14.60/10.35 inference(quant_inst,[status(thm)],[])).
% 14.60/10.35 tff(30793,plain,
% 14.60/10.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s378, c_busy) | m_main_v_state(s378, c_ready)),
% 14.60/10.35 inference(modus_ponens,[status(thm)],[30792, 30791])).
% 14.60/10.35 tff(30794,plain,
% 14.60/10.35 ($false),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30793, 102, 30790, 30788])).
% 14.60/10.35 tff(30795,plain,((~node4(s378)) | m_main_v_state(s379, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.35 tff(30796,plain,
% 14.60/10.35 (m_main_v_state(s379, c_busy)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30795, 30773])).
% 14.60/10.35 tff(30797,plain,
% 14.60/10.35 ($false),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30762, 85, 30738, 30796])).
% 14.60/10.35 tff(30798,plain,(xuntil6(s379) | (~until5(s378)) | (~until5(s369))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.35 tff(30799,plain,
% 14.60/10.35 ($false),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30798, 30684, 29792, 29429])).
% 14.60/10.35 tff(30800,plain,(always3(s366) | xuntil6(s388)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.35 tff(30801,plain,
% 14.60/10.35 (xuntil6(s388)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30800, 28816])).
% 14.60/10.35 tff(30802,plain,
% 14.60/10.35 (until5(s389)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26421, 30801])).
% 14.60/10.35 tff(30803,assumption,(until5(s389)), introduced(assumption)).
% 14.60/10.35 tff(30804,assumption,(~xuntil6(s392)), introduced(assumption)).
% 14.60/10.35 tff(30805,assumption,(~always3(s392)), introduced(assumption)).
% 14.60/10.35 tff(30806,plain,
% 14.60/10.35 (~always3(s391)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26343, 30805])).
% 14.60/10.35 tff(30807,plain,
% 14.60/10.35 (~node4(s391)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26347, 36, 30806])).
% 14.60/10.35 tff(30808,plain,
% 14.60/10.35 (~node4(s392)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26318, 36, 30805])).
% 14.60/10.35 tff(30809,plain,
% 14.60/10.35 (node4(s392) | (~until5(s392))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26325, 294, 30804])).
% 14.60/10.35 tff(30810,plain,
% 14.60/10.35 (~until5(s392)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30809, 30808])).
% 14.60/10.35 tff(30811,plain,
% 14.60/10.35 (~xuntil6(s391)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26334, 30810])).
% 14.60/10.35 tff(30812,plain,
% 14.60/10.35 (~until5(s391)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26354, 294, 30811, 30807])).
% 14.60/10.35 tff(30813,plain,
% 14.60/10.35 (~xuntil6(s390)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26363, 30812])).
% 14.60/10.35 tff(30814,plain,
% 14.60/10.35 (~always3(s390)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26372, 30806])).
% 14.60/10.35 tff(30815,plain,
% 14.60/10.35 (~node4(s390)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26376, 36, 30814])).
% 14.60/10.35 tff(30816,plain,
% 14.60/10.35 (xuntil6(s390) | (~until5(s390))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26383, 294, 30815])).
% 14.60/10.35 tff(30817,plain,
% 14.60/10.35 (~until5(s390)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30816, 30813])).
% 14.60/10.35 tff(30818,plain,
% 14.60/10.35 (~xuntil6(s389)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26392, 30817])).
% 14.60/10.35 tff(30819,plain,
% 14.60/10.35 (~always3(s389)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26401, 30814])).
% 14.60/10.35 tff(30820,plain,
% 14.60/10.35 (~node4(s389)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26405, 36, 30819])).
% 14.60/10.35 tff(30821,plain,
% 14.60/10.35 (xuntil6(s389) | (~until5(s389))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26412, 294, 30820])).
% 14.60/10.35 tff(30822,plain,
% 14.60/10.35 (~until5(s389)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30821, 30818])).
% 14.60/10.35 tff(30823,plain,
% 14.60/10.35 (~xuntil6(s388)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26421, 30822])).
% 14.60/10.35 tff(30824,plain,
% 14.60/10.35 (~always3(s388)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26430, 30819])).
% 14.60/10.35 tff(30825,plain,
% 14.60/10.35 (~node4(s388)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26434, 36, 30824])).
% 14.60/10.35 tff(30826,plain,
% 14.60/10.35 (xuntil6(s388) | (~until5(s388))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26441, 294, 30825])).
% 14.60/10.35 tff(30827,plain,
% 14.60/10.35 (~until5(s388)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30826, 30823])).
% 14.60/10.35 tff(30828,plain,
% 14.60/10.35 (~xuntil6(s387)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26450, 30827])).
% 14.60/10.35 tff(30829,plain,
% 14.60/10.35 (~always3(s387)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26459, 30824])).
% 14.60/10.35 tff(30830,plain,
% 14.60/10.35 (~node4(s387)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26463, 36, 30829])).
% 14.60/10.35 tff(30831,plain,
% 14.60/10.35 (xuntil6(s387) | (~until5(s387))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26470, 294, 30830])).
% 14.60/10.35 tff(30832,plain,
% 14.60/10.35 (~until5(s387)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30831, 30828])).
% 14.60/10.35 tff(30833,plain,
% 14.60/10.35 (~xuntil6(s386)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26479, 30832])).
% 14.60/10.35 tff(30834,plain,
% 14.60/10.35 (~always3(s386)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26488, 30829])).
% 14.60/10.35 tff(30835,plain,
% 14.60/10.35 (~node4(s386)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26492, 36, 30834])).
% 14.60/10.35 tff(30836,plain,
% 14.60/10.35 (xuntil6(s386) | (~until5(s386))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26499, 294, 30835])).
% 14.60/10.35 tff(30837,plain,
% 14.60/10.35 (~until5(s386)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30836, 30833])).
% 14.60/10.35 tff(30838,plain,
% 14.60/10.35 (~xuntil6(s385)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26508, 30837])).
% 14.60/10.35 tff(30839,plain,
% 14.60/10.35 (~always3(s385)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26517, 30834])).
% 14.60/10.35 tff(30840,plain,
% 14.60/10.35 (~node4(s385)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26521, 36, 30839])).
% 14.60/10.35 tff(30841,plain,
% 14.60/10.35 (xuntil6(s385) | (~until5(s385))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26528, 294, 30840])).
% 14.60/10.35 tff(30842,plain,
% 14.60/10.35 (~until5(s385)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30841, 30838])).
% 14.60/10.35 tff(30843,plain,
% 14.60/10.35 (~xuntil6(s384)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26537, 30842])).
% 14.60/10.35 tff(30844,plain,
% 14.60/10.35 (~always3(s384)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26546, 30839])).
% 14.60/10.35 tff(30845,plain,
% 14.60/10.35 (~node4(s384)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26550, 36, 30844])).
% 14.60/10.35 tff(30846,plain,
% 14.60/10.35 (xuntil6(s384) | (~until5(s384))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26557, 294, 30845])).
% 14.60/10.35 tff(30847,plain,
% 14.60/10.35 (~until5(s384)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30846, 30843])).
% 14.60/10.35 tff(30848,plain,
% 14.60/10.35 (~xuntil6(s383)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26566, 30847])).
% 14.60/10.35 tff(30849,plain,
% 14.60/10.35 (~always3(s383)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26575, 30844])).
% 14.60/10.35 tff(30850,plain,
% 14.60/10.35 (~node4(s383)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26579, 36, 30849])).
% 14.60/10.35 tff(30851,plain,
% 14.60/10.35 (xuntil6(s383) | (~until5(s383))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26586, 294, 30850])).
% 14.60/10.35 tff(30852,plain,
% 14.60/10.35 (~until5(s383)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30851, 30848])).
% 14.60/10.35 tff(30853,plain,
% 14.60/10.35 (~xuntil6(s382)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26595, 30852])).
% 14.60/10.35 tff(30854,plain,
% 14.60/10.35 (~always3(s382)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26604, 30849])).
% 14.60/10.35 tff(30855,plain,
% 14.60/10.35 (~node4(s382)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26608, 36, 30854])).
% 14.60/10.35 tff(30856,plain,
% 14.60/10.35 (xuntil6(s382) | (~until5(s382))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26615, 294, 30855])).
% 14.60/10.35 tff(30857,plain,
% 14.60/10.35 (~until5(s382)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30856, 30853])).
% 14.60/10.35 tff(30858,plain,
% 14.60/10.35 (~xuntil6(s381)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26624, 30857])).
% 14.60/10.35 tff(30859,plain,
% 14.60/10.35 (~always3(s381)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26633, 30854])).
% 14.60/10.35 tff(30860,plain,
% 14.60/10.35 (~node4(s381)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26637, 36, 30859])).
% 14.60/10.35 tff(30861,plain,
% 14.60/10.35 (xuntil6(s381) | (~until5(s381))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26644, 294, 30860])).
% 14.60/10.35 tff(30862,plain,
% 14.60/10.35 (~until5(s381)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30861, 30858])).
% 14.60/10.35 tff(30863,plain,
% 14.60/10.35 (~xuntil6(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26653, 30862])).
% 14.60/10.35 tff(30864,plain,
% 14.60/10.35 (~always3(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26662, 30859])).
% 14.60/10.35 tff(30865,plain,
% 14.60/10.35 (~node4(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26666, 36, 30864])).
% 14.60/10.35 tff(30866,plain,
% 14.60/10.35 (xuntil6(s380) | (~until5(s380))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26673, 294, 30865])).
% 14.60/10.35 tff(30867,plain,
% 14.60/10.35 (~until5(s380)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30866, 30863])).
% 14.60/10.35 tff(30868,plain,
% 14.60/10.35 (~xuntil6(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26682, 30867])).
% 14.60/10.35 tff(30869,plain,
% 14.60/10.35 (~always3(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26691, 30864])).
% 14.60/10.35 tff(30870,plain,
% 14.60/10.35 (~node4(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26695, 36, 30869])).
% 14.60/10.35 tff(30871,plain,
% 14.60/10.35 (xuntil6(s379) | (~until5(s379))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26702, 294, 30870])).
% 14.60/10.35 tff(30872,plain,
% 14.60/10.35 (~until5(s379)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30871, 30868])).
% 14.60/10.35 tff(30873,plain,
% 14.60/10.35 (~xuntil6(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26711, 30872])).
% 14.60/10.35 tff(30874,plain,
% 14.60/10.35 (~always3(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26720, 30869])).
% 14.60/10.35 tff(30875,plain,
% 14.60/10.35 (~node4(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26724, 36, 30874])).
% 14.60/10.35 tff(30876,plain,
% 14.60/10.35 (xuntil6(s378) | (~until5(s378))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26731, 294, 30875])).
% 14.60/10.35 tff(30877,plain,
% 14.60/10.35 (~until5(s378)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30876, 30873])).
% 14.60/10.35 tff(30878,plain,
% 14.60/10.35 (~xuntil6(s377)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26740, 30877])).
% 14.60/10.35 tff(30879,plain,
% 14.60/10.35 (~always3(s377)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26749, 30874])).
% 14.60/10.35 tff(30880,plain,
% 14.60/10.35 (~node4(s377)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26753, 36, 30879])).
% 14.60/10.35 tff(30881,plain,
% 14.60/10.35 (xuntil6(s377) | (~until5(s377))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26760, 294, 30880])).
% 14.60/10.35 tff(30882,plain,
% 14.60/10.35 (~until5(s377)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30881, 30878])).
% 14.60/10.35 tff(30883,plain,
% 14.60/10.35 (~xuntil6(s376)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26769, 30882])).
% 14.60/10.35 tff(30884,plain,
% 14.60/10.35 (~always3(s376)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26778, 30879])).
% 14.60/10.35 tff(30885,plain,
% 14.60/10.35 (~node4(s376)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26782, 36, 30884])).
% 14.60/10.35 tff(30886,plain,
% 14.60/10.35 (xuntil6(s376) | (~until5(s376))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26789, 294, 30885])).
% 14.60/10.35 tff(30887,plain,
% 14.60/10.35 (~until5(s376)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30886, 30883])).
% 14.60/10.35 tff(30888,plain,
% 14.60/10.35 (~xuntil6(s375)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26798, 30887])).
% 14.60/10.35 tff(30889,plain,
% 14.60/10.35 (~always3(s375)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26807, 30884])).
% 14.60/10.35 tff(30890,plain,
% 14.60/10.35 (~node4(s375)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26811, 36, 30889])).
% 14.60/10.35 tff(30891,plain,
% 14.60/10.35 (xuntil6(s375) | (~until5(s375))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26818, 294, 30890])).
% 14.60/10.35 tff(30892,plain,
% 14.60/10.35 (~until5(s375)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30891, 30888])).
% 14.60/10.35 tff(30893,plain,
% 14.60/10.35 (~xuntil6(s374)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26827, 30892])).
% 14.60/10.35 tff(30894,plain,
% 14.60/10.35 (~always3(s374)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26836, 30889])).
% 14.60/10.35 tff(30895,plain,
% 14.60/10.35 (~node4(s374)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26840, 36, 30894])).
% 14.60/10.35 tff(30896,plain,
% 14.60/10.35 (xuntil6(s374) | (~until5(s374))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26847, 294, 30895])).
% 14.60/10.35 tff(30897,plain,
% 14.60/10.35 (~until5(s374)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30896, 30893])).
% 14.60/10.35 tff(30898,plain,
% 14.60/10.35 (~xuntil6(s373)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26856, 30897])).
% 14.60/10.35 tff(30899,plain,
% 14.60/10.35 (~always3(s373)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26865, 30894])).
% 14.60/10.35 tff(30900,plain,
% 14.60/10.35 (~node4(s373)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26869, 36, 30899])).
% 14.60/10.35 tff(30901,plain,
% 14.60/10.35 (xuntil6(s373) | (~until5(s373))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26876, 294, 30900])).
% 14.60/10.35 tff(30902,plain,
% 14.60/10.35 (~until5(s373)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30901, 30898])).
% 14.60/10.35 tff(30903,plain,
% 14.60/10.35 (~xuntil6(s372)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26885, 30902])).
% 14.60/10.35 tff(30904,plain,
% 14.60/10.35 (~always3(s372)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26894, 30899])).
% 14.60/10.35 tff(30905,plain,
% 14.60/10.35 (~node4(s372)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26898, 36, 30904])).
% 14.60/10.35 tff(30906,plain,
% 14.60/10.35 (xuntil6(s372) | (~until5(s372))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26905, 294, 30905])).
% 14.60/10.35 tff(30907,plain,
% 14.60/10.35 (~until5(s372)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30906, 30903])).
% 14.60/10.35 tff(30908,plain,
% 14.60/10.35 (~xuntil6(s371)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26914, 30907])).
% 14.60/10.35 tff(30909,plain,
% 14.60/10.35 (~always3(s371)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26923, 30904])).
% 14.60/10.35 tff(30910,plain,
% 14.60/10.35 (~node4(s371)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26927, 36, 30909])).
% 14.60/10.35 tff(30911,plain,
% 14.60/10.35 (xuntil6(s371) | (~until5(s371))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26934, 294, 30910])).
% 14.60/10.35 tff(30912,plain,
% 14.60/10.35 (~until5(s371)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30911, 30908])).
% 14.60/10.35 tff(30913,plain,
% 14.60/10.35 (~xuntil6(s370)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26943, 30912])).
% 14.60/10.35 tff(30914,plain,
% 14.60/10.35 (~always3(s370)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26952, 30909])).
% 14.60/10.35 tff(30915,plain,
% 14.60/10.35 (~node4(s370)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26956, 36, 30914])).
% 14.60/10.35 tff(30916,plain,
% 14.60/10.35 (xuntil6(s370) | (~until5(s370))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26963, 294, 30915])).
% 14.60/10.35 tff(30917,plain,
% 14.60/10.35 (~until5(s370)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30916, 30913])).
% 14.60/10.35 tff(30918,plain,
% 14.60/10.35 (~xuntil6(s369)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26972, 30917])).
% 14.60/10.35 tff(30919,plain,
% 14.60/10.35 (~always3(s369)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26981, 30914])).
% 14.60/10.35 tff(30920,plain,
% 14.60/10.35 (~node4(s369)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26985, 36, 30919])).
% 14.60/10.35 tff(30921,plain,
% 14.60/10.35 (xuntil6(s369) | (~until5(s369))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[26992, 294, 30920])).
% 14.60/10.35 tff(30922,plain,
% 14.60/10.35 (~until5(s369)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30921, 30918])).
% 14.60/10.35 tff(30923,plain,
% 14.60/10.35 (~xuntil6(s368)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27001, 30922])).
% 14.60/10.35 tff(30924,plain,
% 14.60/10.35 (~always3(s368)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27010, 30919])).
% 14.60/10.35 tff(30925,plain,
% 14.60/10.35 (~node4(s368)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27014, 36, 30924])).
% 14.60/10.35 tff(30926,plain,
% 14.60/10.35 (xuntil6(s368) | (~until5(s368))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27021, 294, 30925])).
% 14.60/10.35 tff(30927,plain,
% 14.60/10.35 (~until5(s368)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30926, 30923])).
% 14.60/10.35 tff(30928,plain,
% 14.60/10.35 (~xuntil6(s367)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27030, 30927])).
% 14.60/10.35 tff(30929,plain,
% 14.60/10.35 (~always3(s367)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27039, 30924])).
% 14.60/10.35 tff(30930,plain,
% 14.60/10.35 (~node4(s367)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27043, 36, 30929])).
% 14.60/10.35 tff(30931,plain,
% 14.60/10.35 (xuntil6(s367) | (~until5(s367))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27050, 294, 30930])).
% 14.60/10.35 tff(30932,plain,
% 14.60/10.35 (~until5(s367)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30931, 30928])).
% 14.60/10.35 tff(30933,plain,
% 14.60/10.35 (~xuntil6(s366)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27059, 30932])).
% 14.60/10.35 tff(30934,plain,
% 14.60/10.35 (~always3(s366)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27068, 30929])).
% 14.60/10.35 tff(30935,plain,
% 14.60/10.35 (~node4(s366)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27072, 36, 30934])).
% 14.60/10.35 tff(30936,plain,
% 14.60/10.35 (xuntil6(s366) | (~until5(s366))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27079, 294, 30935])).
% 14.60/10.35 tff(30937,plain,
% 14.60/10.35 (~until5(s366)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30936, 30933])).
% 14.60/10.35 tff(30938,plain,
% 14.60/10.35 (~xuntil6(s365)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27088, 30937])).
% 14.60/10.35 tff(30939,plain,
% 14.60/10.35 (~always3(s365)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27097, 30934])).
% 14.60/10.35 tff(30940,plain,
% 14.60/10.35 (~node4(s365)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27101, 36, 30939])).
% 14.60/10.35 tff(30941,plain,
% 14.60/10.35 (xuntil6(s365) | (~until5(s365))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27108, 294, 30940])).
% 14.60/10.35 tff(30942,plain,
% 14.60/10.35 (~until5(s365)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30941, 30938])).
% 14.60/10.35 tff(30943,plain,
% 14.60/10.35 (~xuntil6(s364)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27117, 30942])).
% 14.60/10.35 tff(30944,plain,
% 14.60/10.35 (~always3(s364)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27126, 30939])).
% 14.60/10.35 tff(30945,plain,
% 14.60/10.35 (~node4(s364)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27130, 36, 30944])).
% 14.60/10.35 tff(30946,plain,
% 14.60/10.35 (xuntil6(s364) | (~until5(s364))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27137, 294, 30945])).
% 14.60/10.35 tff(30947,plain,
% 14.60/10.35 (~until5(s364)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30946, 30943])).
% 14.60/10.35 tff(30948,plain,
% 14.60/10.35 (~xuntil6(s363)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27146, 30947])).
% 14.60/10.35 tff(30949,plain,
% 14.60/10.35 (~always3(s363)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27155, 30944])).
% 14.60/10.35 tff(30950,plain,
% 14.60/10.35 (~node4(s363)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27159, 36, 30949])).
% 14.60/10.35 tff(30951,plain,
% 14.60/10.35 (xuntil6(s363) | (~until5(s363))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27166, 294, 30950])).
% 14.60/10.35 tff(30952,plain,
% 14.60/10.35 (~until5(s363)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30951, 30948])).
% 14.60/10.35 tff(30953,plain,
% 14.60/10.35 (~xuntil6(s362)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27175, 30952])).
% 14.60/10.35 tff(30954,plain,
% 14.60/10.35 (~always3(s362)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27184, 30949])).
% 14.60/10.35 tff(30955,plain,
% 14.60/10.35 (~node4(s362)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27188, 36, 30954])).
% 14.60/10.35 tff(30956,plain,
% 14.60/10.35 (xuntil6(s362) | (~until5(s362))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27195, 294, 30955])).
% 14.60/10.35 tff(30957,plain,
% 14.60/10.35 (~until5(s362)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30956, 30953])).
% 14.60/10.35 tff(30958,plain,
% 14.60/10.35 (~xuntil6(s361)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27204, 30957])).
% 14.60/10.35 tff(30959,plain,
% 14.60/10.35 (~always3(s361)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27213, 30954])).
% 14.60/10.35 tff(30960,plain,
% 14.60/10.35 (~node4(s361)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27217, 36, 30959])).
% 14.60/10.35 tff(30961,plain,
% 14.60/10.35 (xuntil6(s361) | (~until5(s361))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27224, 294, 30960])).
% 14.60/10.35 tff(30962,plain,
% 14.60/10.35 (~until5(s361)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30961, 30958])).
% 14.60/10.35 tff(30963,plain,
% 14.60/10.35 (~xuntil6(s360)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27233, 30962])).
% 14.60/10.35 tff(30964,plain,
% 14.60/10.35 (~always3(s360)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27242, 30959])).
% 14.60/10.35 tff(30965,plain,
% 14.60/10.35 (~node4(s360)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27246, 36, 30964])).
% 14.60/10.35 tff(30966,plain,
% 14.60/10.35 (xuntil6(s360) | (~until5(s360))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27253, 294, 30965])).
% 14.60/10.35 tff(30967,plain,
% 14.60/10.35 (~until5(s360)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30966, 30963])).
% 14.60/10.35 tff(30968,plain,
% 14.60/10.35 (~xuntil6(s359)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27262, 30967])).
% 14.60/10.35 tff(30969,plain,
% 14.60/10.35 (~always3(s359)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27271, 30964])).
% 14.60/10.35 tff(30970,plain,
% 14.60/10.35 (~node4(s359)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27275, 36, 30969])).
% 14.60/10.35 tff(30971,plain,
% 14.60/10.35 (xuntil6(s359) | (~until5(s359))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27282, 294, 30970])).
% 14.60/10.35 tff(30972,plain,
% 14.60/10.35 (~until5(s359)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30971, 30968])).
% 14.60/10.35 tff(30973,plain,
% 14.60/10.35 (~xuntil6(s358)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27291, 30972])).
% 14.60/10.35 tff(30974,plain,
% 14.60/10.35 (~always3(s358)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27300, 30969])).
% 14.60/10.35 tff(30975,plain,
% 14.60/10.35 (~node4(s358)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27304, 36, 30974])).
% 14.60/10.35 tff(30976,plain,
% 14.60/10.35 (xuntil6(s358) | (~until5(s358))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27311, 294, 30975])).
% 14.60/10.35 tff(30977,plain,
% 14.60/10.35 (~until5(s358)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30976, 30973])).
% 14.60/10.35 tff(30978,plain,
% 14.60/10.35 (~xuntil6(s357)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27320, 30977])).
% 14.60/10.35 tff(30979,plain,
% 14.60/10.35 (~always3(s357)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27329, 30974])).
% 14.60/10.35 tff(30980,plain,
% 14.60/10.35 (~node4(s357)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27333, 36, 30979])).
% 14.60/10.35 tff(30981,plain,
% 14.60/10.35 (xuntil6(s357) | (~until5(s357))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27340, 294, 30980])).
% 14.60/10.35 tff(30982,plain,
% 14.60/10.35 (~until5(s357)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30981, 30978])).
% 14.60/10.35 tff(30983,plain,
% 14.60/10.35 (~xuntil6(s356)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27349, 30982])).
% 14.60/10.35 tff(30984,plain,
% 14.60/10.35 (~always3(s356)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27358, 30979])).
% 14.60/10.35 tff(30985,plain,
% 14.60/10.35 (~node4(s356)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27362, 36, 30984])).
% 14.60/10.35 tff(30986,plain,
% 14.60/10.35 (xuntil6(s356) | (~until5(s356))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27369, 294, 30985])).
% 14.60/10.35 tff(30987,plain,
% 14.60/10.35 (~until5(s356)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30986, 30983])).
% 14.60/10.35 tff(30988,plain,
% 14.60/10.35 (~xuntil6(s355)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27378, 30987])).
% 14.60/10.35 tff(30989,plain,
% 14.60/10.35 (~always3(s355)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27387, 30984])).
% 14.60/10.35 tff(30990,plain,
% 14.60/10.35 (~node4(s355)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27391, 36, 30989])).
% 14.60/10.35 tff(30991,plain,
% 14.60/10.35 (xuntil6(s355) | (~until5(s355))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27398, 294, 30990])).
% 14.60/10.35 tff(30992,plain,
% 14.60/10.35 (~until5(s355)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30991, 30988])).
% 14.60/10.35 tff(30993,plain,
% 14.60/10.35 (~xuntil6(s354)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27407, 30992])).
% 14.60/10.35 tff(30994,plain,
% 14.60/10.35 (~always3(s354)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27416, 30989])).
% 14.60/10.35 tff(30995,plain,
% 14.60/10.35 (~node4(s354)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27420, 36, 30994])).
% 14.60/10.35 tff(30996,plain,
% 14.60/10.35 (xuntil6(s354) | (~until5(s354))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27427, 294, 30995])).
% 14.60/10.35 tff(30997,plain,
% 14.60/10.35 (~until5(s354)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[30996, 30993])).
% 14.60/10.35 tff(30998,plain,
% 14.60/10.35 (~xuntil6(s353)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27436, 30997])).
% 14.60/10.35 tff(30999,plain,
% 14.60/10.35 (~always3(s353)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27445, 30994])).
% 14.60/10.35 tff(31000,plain,
% 14.60/10.35 (~node4(s353)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27449, 36, 30999])).
% 14.60/10.35 tff(31001,plain,
% 14.60/10.35 (xuntil6(s353) | (~until5(s353))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27456, 294, 31000])).
% 14.60/10.35 tff(31002,plain,
% 14.60/10.35 (~until5(s353)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31001, 30998])).
% 14.60/10.35 tff(31003,plain,
% 14.60/10.35 (~xuntil6(s352)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27465, 31002])).
% 14.60/10.35 tff(31004,plain,
% 14.60/10.35 (~always3(s352)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27474, 30999])).
% 14.60/10.35 tff(31005,plain,
% 14.60/10.35 (~node4(s352)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28753, 36, 31004])).
% 14.60/10.35 tff(31006,plain,
% 14.60/10.35 (xuntil6(s352) | (~until5(s352))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28760, 294, 31005])).
% 14.60/10.35 tff(31007,plain,
% 14.60/10.35 (~until5(s352)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31006, 31003])).
% 14.60/10.35 tff(31008,plain,
% 14.60/10.35 (~xuntil6(s351)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28749, 31007])).
% 14.60/10.35 tff(31009,plain,
% 14.60/10.35 (~always3(s351)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27486, 31004])).
% 14.60/10.35 tff(31010,plain,
% 14.60/10.35 (~node4(s351)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28736, 36, 31009])).
% 14.60/10.35 tff(31011,plain,
% 14.60/10.35 (xuntil6(s351) | (~until5(s351))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28743, 294, 31010])).
% 14.60/10.35 tff(31012,plain,
% 14.60/10.35 (~until5(s351)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31011, 31008])).
% 14.60/10.35 tff(31013,plain,
% 14.60/10.35 (~xuntil6(s350)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28732, 31012])).
% 14.60/10.35 tff(31014,plain,
% 14.60/10.35 (~always3(s350)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27498, 31009])).
% 14.60/10.35 tff(31015,plain,
% 14.60/10.35 (~always3(s349)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27510, 31014])).
% 14.60/10.35 tff(31016,plain,
% 14.60/10.35 (~always3(s348)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27522, 31015])).
% 14.60/10.35 tff(31017,plain,
% 14.60/10.35 (~always3(s347)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27534, 31016])).
% 14.60/10.35 tff(31018,plain,
% 14.60/10.35 (~always3(s346)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27546, 31017])).
% 14.60/10.35 tff(31019,plain,
% 14.60/10.35 (~always3(s345)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27558, 31018])).
% 14.60/10.35 tff(31020,plain,
% 14.60/10.35 (~always3(s344)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27570, 31019])).
% 14.60/10.35 tff(31021,plain,
% 14.60/10.35 (~always3(s343)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27582, 31020])).
% 14.60/10.35 tff(31022,plain,
% 14.60/10.35 (~always3(s342)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27594, 31021])).
% 14.60/10.35 tff(31023,plain,
% 14.60/10.35 (~always3(s341)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27606, 31022])).
% 14.60/10.35 tff(31024,plain,
% 14.60/10.35 (~always3(s340)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27618, 31023])).
% 14.60/10.35 tff(31025,plain,
% 14.60/10.35 (~always3(s339)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27630, 31024])).
% 14.60/10.35 tff(31026,plain,
% 14.60/10.35 (~always3(s338)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27642, 31025])).
% 14.60/10.35 tff(31027,plain,
% 14.60/10.35 (~always3(s337)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27654, 31026])).
% 14.60/10.35 tff(31028,plain,
% 14.60/10.35 (~always3(s336)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27666, 31027])).
% 14.60/10.35 tff(31029,plain,
% 14.60/10.35 (~always3(s335)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27678, 31028])).
% 14.60/10.35 tff(31030,plain,
% 14.60/10.35 (~always3(s334)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27690, 31029])).
% 14.60/10.35 tff(31031,plain,
% 14.60/10.35 (~always3(s333)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27702, 31030])).
% 14.60/10.35 tff(31032,plain,
% 14.60/10.35 (~always3(s332)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27714, 31031])).
% 14.60/10.35 tff(31033,plain,
% 14.60/10.35 (~always3(s331)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27726, 31032])).
% 14.60/10.35 tff(31034,plain,
% 14.60/10.35 (~always3(s330)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27738, 31033])).
% 14.60/10.35 tff(31035,plain,
% 14.60/10.35 (~always3(s329)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27750, 31034])).
% 14.60/10.35 tff(31036,plain,
% 14.60/10.35 (~always3(s328)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27762, 31035])).
% 14.60/10.35 tff(31037,plain,
% 14.60/10.35 (~always3(s327)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27774, 31036])).
% 14.60/10.35 tff(31038,plain,
% 14.60/10.35 (~always3(s326)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27786, 31037])).
% 14.60/10.35 tff(31039,plain,
% 14.60/10.35 (~always3(s325)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27798, 31038])).
% 14.60/10.35 tff(31040,plain,
% 14.60/10.35 (~always3(s324)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27810, 31039])).
% 14.60/10.35 tff(31041,plain,
% 14.60/10.35 (~always3(s323)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27822, 31040])).
% 14.60/10.35 tff(31042,plain,
% 14.60/10.35 (~always3(s322)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27834, 31041])).
% 14.60/10.35 tff(31043,plain,
% 14.60/10.35 (~always3(s321)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27846, 31042])).
% 14.60/10.35 tff(31044,plain,
% 14.60/10.35 (~always3(s320)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27858, 31043])).
% 14.60/10.35 tff(31045,plain,
% 14.60/10.35 (~always3(s319)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27870, 31044])).
% 14.60/10.35 tff(31046,plain,
% 14.60/10.35 (~always3(s318)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27882, 31045])).
% 14.60/10.35 tff(31047,plain,
% 14.60/10.35 (~always3(s317)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27894, 31046])).
% 14.60/10.35 tff(31048,plain,
% 14.60/10.35 (~always3(s316)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27906, 31047])).
% 14.60/10.35 tff(31049,plain,
% 14.60/10.35 (~always3(s315)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27918, 31048])).
% 14.60/10.35 tff(31050,plain,
% 14.60/10.35 (~always3(s314)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27930, 31049])).
% 14.60/10.35 tff(31051,plain,
% 14.60/10.35 (~always3(s313)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27942, 31050])).
% 14.60/10.35 tff(31052,plain,
% 14.60/10.35 (~always3(s312)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27954, 31051])).
% 14.60/10.35 tff(31053,plain,
% 14.60/10.35 (~always3(s311)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27966, 31052])).
% 14.60/10.35 tff(31054,plain,
% 14.60/10.35 (~always3(s310)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27978, 31053])).
% 14.60/10.35 tff(31055,plain,
% 14.60/10.35 (~always3(s309)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27990, 31054])).
% 14.60/10.35 tff(31056,plain,
% 14.60/10.35 (~node4(s309)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[27994, 36, 31055])).
% 14.60/10.35 tff(31057,plain,
% 14.60/10.35 (~always3(s308)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28006, 31055])).
% 14.60/10.35 tff(31058,plain,
% 14.60/10.35 (~node4(s308)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28010, 36, 31057])).
% 14.60/10.35 tff(31059,plain,
% 14.60/10.35 (xuntil6(s308)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28018, 31058])).
% 14.60/10.35 tff(31060,plain,
% 14.60/10.35 (until5(s309)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28023, 31059])).
% 14.60/10.35 tff(31061,plain,
% 14.60/10.35 (xuntil6(s309)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28030, 294, 31060, 31056])).
% 14.60/10.35 tff(31062,plain,
% 14.60/10.35 (until5(s310)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28035, 31061])).
% 14.60/10.35 tff(31063,plain,
% 14.60/10.35 (~node4(s310)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28039, 36, 31054])).
% 14.60/10.35 tff(31064,plain,
% 14.60/10.35 (xuntil6(s310) | (~until5(s310))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28046, 294, 31063])).
% 14.60/10.35 tff(31065,plain,
% 14.60/10.35 (xuntil6(s310)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31064, 31062])).
% 14.60/10.35 tff(31066,plain,
% 14.60/10.35 (until5(s311)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28052, 31065])).
% 14.60/10.35 tff(31067,plain,
% 14.60/10.35 (~node4(s311)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28056, 36, 31053])).
% 14.60/10.35 tff(31068,plain,
% 14.60/10.35 (xuntil6(s311) | (~until5(s311))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28063, 294, 31067])).
% 14.60/10.35 tff(31069,plain,
% 14.60/10.35 (xuntil6(s311)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31068, 31066])).
% 14.60/10.35 tff(31070,plain,
% 14.60/10.35 (until5(s312)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28069, 31069])).
% 14.60/10.35 tff(31071,plain,
% 14.60/10.35 (~node4(s312)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28073, 36, 31052])).
% 14.60/10.35 tff(31072,plain,
% 14.60/10.35 (xuntil6(s312) | (~until5(s312))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28080, 294, 31071])).
% 14.60/10.35 tff(31073,plain,
% 14.60/10.35 (xuntil6(s312)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31072, 31070])).
% 14.60/10.35 tff(31074,plain,
% 14.60/10.35 (until5(s313)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28086, 31073])).
% 14.60/10.35 tff(31075,plain,
% 14.60/10.35 (~node4(s313)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28090, 36, 31051])).
% 14.60/10.35 tff(31076,plain,
% 14.60/10.35 (xuntil6(s313) | (~until5(s313))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28097, 294, 31075])).
% 14.60/10.35 tff(31077,plain,
% 14.60/10.35 (xuntil6(s313)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31076, 31074])).
% 14.60/10.35 tff(31078,plain,
% 14.60/10.35 (until5(s314)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28103, 31077])).
% 14.60/10.35 tff(31079,plain,
% 14.60/10.35 (~node4(s314)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28107, 36, 31050])).
% 14.60/10.35 tff(31080,plain,
% 14.60/10.35 (xuntil6(s314) | (~until5(s314))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28114, 294, 31079])).
% 14.60/10.35 tff(31081,plain,
% 14.60/10.35 (xuntil6(s314)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31080, 31078])).
% 14.60/10.35 tff(31082,plain,
% 14.60/10.35 (until5(s315)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28120, 31081])).
% 14.60/10.35 tff(31083,plain,
% 14.60/10.35 (~node4(s315)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28124, 36, 31049])).
% 14.60/10.35 tff(31084,plain,
% 14.60/10.35 (xuntil6(s315) | (~until5(s315))),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28131, 294, 31083])).
% 14.60/10.35 tff(31085,plain,
% 14.60/10.35 (xuntil6(s315)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[31084, 31082])).
% 14.60/10.35 tff(31086,plain,
% 14.60/10.35 (until5(s316)),
% 14.60/10.35 inference(unit_resolution,[status(thm)],[28137, 31085])).
% 14.60/10.35 tff(31087,plain,
% 14.60/10.36 (~node4(s316)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28141, 36, 31048])).
% 14.60/10.36 tff(31088,plain,
% 14.60/10.36 (xuntil6(s316) | (~until5(s316))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28148, 294, 31087])).
% 14.60/10.36 tff(31089,plain,
% 14.60/10.36 (xuntil6(s316)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31088, 31086])).
% 14.60/10.36 tff(31090,plain,
% 14.60/10.36 (until5(s317)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28154, 31089])).
% 14.60/10.36 tff(31091,plain,
% 14.60/10.36 (~node4(s317)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28158, 36, 31047])).
% 14.60/10.36 tff(31092,plain,
% 14.60/10.36 (xuntil6(s317) | (~until5(s317))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28165, 294, 31091])).
% 14.60/10.36 tff(31093,plain,
% 14.60/10.36 (xuntil6(s317)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31092, 31090])).
% 14.60/10.36 tff(31094,plain,
% 14.60/10.36 (until5(s318)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28171, 31093])).
% 14.60/10.36 tff(31095,plain,
% 14.60/10.36 (~node4(s318)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28175, 36, 31046])).
% 14.60/10.36 tff(31096,plain,
% 14.60/10.36 (xuntil6(s318) | (~until5(s318))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28182, 294, 31095])).
% 14.60/10.36 tff(31097,plain,
% 14.60/10.36 (xuntil6(s318)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31096, 31094])).
% 14.60/10.36 tff(31098,plain,
% 14.60/10.36 (until5(s319)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28188, 31097])).
% 14.60/10.36 tff(31099,plain,
% 14.60/10.36 (~node4(s319)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28192, 36, 31045])).
% 14.60/10.36 tff(31100,plain,
% 14.60/10.36 (xuntil6(s319) | (~until5(s319))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28199, 294, 31099])).
% 14.60/10.36 tff(31101,plain,
% 14.60/10.36 (xuntil6(s319)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31100, 31098])).
% 14.60/10.36 tff(31102,plain,
% 14.60/10.36 (until5(s320)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28205, 31101])).
% 14.60/10.36 tff(31103,plain,
% 14.60/10.36 (~node4(s320)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28209, 36, 31044])).
% 14.60/10.36 tff(31104,plain,
% 14.60/10.36 (xuntil6(s320) | (~until5(s320))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28216, 294, 31103])).
% 14.60/10.36 tff(31105,plain,
% 14.60/10.36 (xuntil6(s320)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31104, 31102])).
% 14.60/10.36 tff(31106,plain,
% 14.60/10.36 (until5(s321)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28222, 31105])).
% 14.60/10.36 tff(31107,plain,
% 14.60/10.36 (~node4(s321)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28226, 36, 31043])).
% 14.60/10.36 tff(31108,plain,
% 14.60/10.36 (xuntil6(s321) | (~until5(s321))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28233, 294, 31107])).
% 14.60/10.36 tff(31109,plain,
% 14.60/10.36 (xuntil6(s321)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31108, 31106])).
% 14.60/10.36 tff(31110,plain,
% 14.60/10.36 (until5(s322)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28239, 31109])).
% 14.60/10.36 tff(31111,plain,
% 14.60/10.36 (~node4(s322)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28243, 36, 31042])).
% 14.60/10.36 tff(31112,plain,
% 14.60/10.36 (xuntil6(s322) | (~until5(s322))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28250, 294, 31111])).
% 14.60/10.36 tff(31113,plain,
% 14.60/10.36 (xuntil6(s322)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31112, 31110])).
% 14.60/10.36 tff(31114,plain,
% 14.60/10.36 (until5(s323)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28256, 31113])).
% 14.60/10.36 tff(31115,plain,
% 14.60/10.36 (~node4(s323)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28260, 36, 31041])).
% 14.60/10.36 tff(31116,plain,
% 14.60/10.36 (xuntil6(s323) | (~until5(s323))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28267, 294, 31115])).
% 14.60/10.36 tff(31117,plain,
% 14.60/10.36 (xuntil6(s323)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31116, 31114])).
% 14.60/10.36 tff(31118,plain,
% 14.60/10.36 (until5(s324)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28273, 31117])).
% 14.60/10.36 tff(31119,plain,
% 14.60/10.36 (~node4(s324)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28277, 36, 31040])).
% 14.60/10.36 tff(31120,plain,
% 14.60/10.36 (xuntil6(s324) | (~until5(s324))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28284, 294, 31119])).
% 14.60/10.36 tff(31121,plain,
% 14.60/10.36 (xuntil6(s324)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31120, 31118])).
% 14.60/10.36 tff(31122,plain,
% 14.60/10.36 (until5(s325)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28290, 31121])).
% 14.60/10.36 tff(31123,plain,
% 14.60/10.36 (~node4(s325)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28294, 36, 31039])).
% 14.60/10.36 tff(31124,plain,
% 14.60/10.36 (xuntil6(s325) | (~until5(s325))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28301, 294, 31123])).
% 14.60/10.36 tff(31125,plain,
% 14.60/10.36 (xuntil6(s325)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31124, 31122])).
% 14.60/10.36 tff(31126,plain,
% 14.60/10.36 (until5(s326)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28307, 31125])).
% 14.60/10.36 tff(31127,plain,
% 14.60/10.36 (~node4(s326)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28311, 36, 31038])).
% 14.60/10.36 tff(31128,plain,
% 14.60/10.36 (xuntil6(s326) | (~until5(s326))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28318, 294, 31127])).
% 14.60/10.36 tff(31129,plain,
% 14.60/10.36 (xuntil6(s326)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31128, 31126])).
% 14.60/10.36 tff(31130,plain,
% 14.60/10.36 (until5(s327)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28324, 31129])).
% 14.60/10.36 tff(31131,plain,
% 14.60/10.36 (~node4(s327)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28328, 36, 31037])).
% 14.60/10.36 tff(31132,plain,
% 14.60/10.36 (xuntil6(s327) | (~until5(s327))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28335, 294, 31131])).
% 14.60/10.36 tff(31133,plain,
% 14.60/10.36 (xuntil6(s327)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31132, 31130])).
% 14.60/10.36 tff(31134,plain,
% 14.60/10.36 (until5(s328)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28341, 31133])).
% 14.60/10.36 tff(31135,plain,
% 14.60/10.36 (~node4(s328)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28345, 36, 31036])).
% 14.60/10.36 tff(31136,plain,
% 14.60/10.36 (xuntil6(s328) | (~until5(s328))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28352, 294, 31135])).
% 14.60/10.36 tff(31137,plain,
% 14.60/10.36 (xuntil6(s328)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31136, 31134])).
% 14.60/10.36 tff(31138,plain,
% 14.60/10.36 (until5(s329)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28358, 31137])).
% 14.60/10.36 tff(31139,plain,
% 14.60/10.36 (~node4(s329)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28362, 36, 31035])).
% 14.60/10.36 tff(31140,plain,
% 14.60/10.36 (xuntil6(s329) | (~until5(s329))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28369, 294, 31139])).
% 14.60/10.36 tff(31141,plain,
% 14.60/10.36 (xuntil6(s329)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31140, 31138])).
% 14.60/10.36 tff(31142,plain,
% 14.60/10.36 (until5(s330)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28375, 31141])).
% 14.60/10.36 tff(31143,plain,
% 14.60/10.36 (~node4(s330)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28379, 36, 31034])).
% 14.60/10.36 tff(31144,plain,
% 14.60/10.36 (xuntil6(s330) | (~until5(s330))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28386, 294, 31143])).
% 14.60/10.36 tff(31145,plain,
% 14.60/10.36 (xuntil6(s330)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31144, 31142])).
% 14.60/10.36 tff(31146,plain,
% 14.60/10.36 (until5(s331)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28392, 31145])).
% 14.60/10.36 tff(31147,plain,
% 14.60/10.36 (~node4(s331)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28396, 36, 31033])).
% 14.60/10.36 tff(31148,plain,
% 14.60/10.36 (xuntil6(s331) | (~until5(s331))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28403, 294, 31147])).
% 14.60/10.36 tff(31149,plain,
% 14.60/10.36 (xuntil6(s331)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31148, 31146])).
% 14.60/10.36 tff(31150,plain,
% 14.60/10.36 (until5(s332)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28409, 31149])).
% 14.60/10.36 tff(31151,plain,
% 14.60/10.36 (~node4(s332)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28413, 36, 31032])).
% 14.60/10.36 tff(31152,plain,
% 14.60/10.36 (xuntil6(s332) | (~until5(s332))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28420, 294, 31151])).
% 14.60/10.36 tff(31153,plain,
% 14.60/10.36 (xuntil6(s332)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31152, 31150])).
% 14.60/10.36 tff(31154,plain,
% 14.60/10.36 (until5(s333)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28426, 31153])).
% 14.60/10.36 tff(31155,plain,
% 14.60/10.36 (~node4(s333)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28430, 36, 31031])).
% 14.60/10.36 tff(31156,plain,
% 14.60/10.36 (xuntil6(s333) | (~until5(s333))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28437, 294, 31155])).
% 14.60/10.36 tff(31157,plain,
% 14.60/10.36 (xuntil6(s333)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31156, 31154])).
% 14.60/10.36 tff(31158,plain,
% 14.60/10.36 (until5(s334)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28443, 31157])).
% 14.60/10.36 tff(31159,plain,
% 14.60/10.36 (~node4(s334)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28447, 36, 31030])).
% 14.60/10.36 tff(31160,plain,
% 14.60/10.36 (xuntil6(s334) | (~until5(s334))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28454, 294, 31159])).
% 14.60/10.36 tff(31161,plain,
% 14.60/10.36 (xuntil6(s334)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31160, 31158])).
% 14.60/10.36 tff(31162,plain,
% 14.60/10.36 (until5(s335)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28460, 31161])).
% 14.60/10.36 tff(31163,plain,
% 14.60/10.36 (~node4(s335)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28464, 36, 31029])).
% 14.60/10.36 tff(31164,plain,
% 14.60/10.36 (xuntil6(s335) | (~until5(s335))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28471, 294, 31163])).
% 14.60/10.36 tff(31165,plain,
% 14.60/10.36 (xuntil6(s335)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31164, 31162])).
% 14.60/10.36 tff(31166,plain,
% 14.60/10.36 (until5(s336)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28477, 31165])).
% 14.60/10.36 tff(31167,plain,
% 14.60/10.36 (~node4(s336)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28481, 36, 31028])).
% 14.60/10.36 tff(31168,plain,
% 14.60/10.36 (xuntil6(s336) | (~until5(s336))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28488, 294, 31167])).
% 14.60/10.36 tff(31169,plain,
% 14.60/10.36 (xuntil6(s336)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31168, 31166])).
% 14.60/10.36 tff(31170,plain,
% 14.60/10.36 (until5(s337)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28494, 31169])).
% 14.60/10.36 tff(31171,plain,
% 14.60/10.36 (~node4(s337)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28498, 36, 31027])).
% 14.60/10.36 tff(31172,plain,
% 14.60/10.36 (xuntil6(s337) | (~until5(s337))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28505, 294, 31171])).
% 14.60/10.36 tff(31173,plain,
% 14.60/10.36 (xuntil6(s337)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31172, 31170])).
% 14.60/10.36 tff(31174,plain,
% 14.60/10.36 (until5(s338)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28511, 31173])).
% 14.60/10.36 tff(31175,plain,
% 14.60/10.36 (~node4(s338)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28515, 36, 31026])).
% 14.60/10.36 tff(31176,plain,
% 14.60/10.36 (xuntil6(s338) | (~until5(s338))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28522, 294, 31175])).
% 14.60/10.36 tff(31177,plain,
% 14.60/10.36 (xuntil6(s338)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31176, 31174])).
% 14.60/10.36 tff(31178,plain,
% 14.60/10.36 (until5(s339)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28528, 31177])).
% 14.60/10.36 tff(31179,plain,
% 14.60/10.36 (~node4(s339)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28532, 36, 31025])).
% 14.60/10.36 tff(31180,plain,
% 14.60/10.36 (xuntil6(s339) | (~until5(s339))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28539, 294, 31179])).
% 14.60/10.36 tff(31181,plain,
% 14.60/10.36 (xuntil6(s339)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31180, 31178])).
% 14.60/10.36 tff(31182,plain,
% 14.60/10.36 (until5(s340)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28545, 31181])).
% 14.60/10.36 tff(31183,plain,
% 14.60/10.36 (~node4(s340)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28549, 36, 31024])).
% 14.60/10.36 tff(31184,plain,
% 14.60/10.36 (xuntil6(s340) | (~until5(s340))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28556, 294, 31183])).
% 14.60/10.36 tff(31185,plain,
% 14.60/10.36 (xuntil6(s340)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31184, 31182])).
% 14.60/10.36 tff(31186,plain,
% 14.60/10.36 (until5(s341)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28562, 31185])).
% 14.60/10.36 tff(31187,plain,
% 14.60/10.36 (~node4(s341)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28566, 36, 31023])).
% 14.60/10.36 tff(31188,plain,
% 14.60/10.36 (xuntil6(s341) | (~until5(s341))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28573, 294, 31187])).
% 14.60/10.36 tff(31189,plain,
% 14.60/10.36 (xuntil6(s341)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31188, 31186])).
% 14.60/10.36 tff(31190,plain,
% 14.60/10.36 (until5(s342)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28579, 31189])).
% 14.60/10.36 tff(31191,plain,
% 14.60/10.36 (~node4(s342)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28583, 36, 31022])).
% 14.60/10.36 tff(31192,plain,
% 14.60/10.36 (xuntil6(s342) | (~until5(s342))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28590, 294, 31191])).
% 14.60/10.36 tff(31193,plain,
% 14.60/10.36 (xuntil6(s342)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31192, 31190])).
% 14.60/10.36 tff(31194,plain,
% 14.60/10.36 (until5(s343)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28596, 31193])).
% 14.60/10.36 tff(31195,plain,
% 14.60/10.36 (~node4(s343)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28600, 36, 31021])).
% 14.60/10.36 tff(31196,plain,
% 14.60/10.36 (xuntil6(s343) | (~until5(s343))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28607, 294, 31195])).
% 14.60/10.36 tff(31197,plain,
% 14.60/10.36 (xuntil6(s343)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31196, 31194])).
% 14.60/10.36 tff(31198,plain,
% 14.60/10.36 (until5(s344)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28613, 31197])).
% 14.60/10.36 tff(31199,plain,
% 14.60/10.36 (~node4(s344)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28617, 36, 31020])).
% 14.60/10.36 tff(31200,plain,
% 14.60/10.36 (xuntil6(s344) | (~until5(s344))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28624, 294, 31199])).
% 14.60/10.36 tff(31201,plain,
% 14.60/10.36 (xuntil6(s344)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31200, 31198])).
% 14.60/10.36 tff(31202,plain,
% 14.60/10.36 (until5(s345)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28630, 31201])).
% 14.60/10.36 tff(31203,plain,
% 14.60/10.36 (~node4(s345)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28634, 36, 31019])).
% 14.60/10.36 tff(31204,plain,
% 14.60/10.36 (xuntil6(s345) | (~until5(s345))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28641, 294, 31203])).
% 14.60/10.36 tff(31205,plain,
% 14.60/10.36 (xuntil6(s345)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31204, 31202])).
% 14.60/10.36 tff(31206,plain,
% 14.60/10.36 (until5(s346)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28647, 31205])).
% 14.60/10.36 tff(31207,plain,
% 14.60/10.36 (~node4(s346)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28651, 36, 31018])).
% 14.60/10.36 tff(31208,plain,
% 14.60/10.36 (xuntil6(s346) | (~until5(s346))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28658, 294, 31207])).
% 14.60/10.36 tff(31209,plain,
% 14.60/10.36 (xuntil6(s346)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31208, 31206])).
% 14.60/10.36 tff(31210,plain,
% 14.60/10.36 (until5(s347)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28664, 31209])).
% 14.60/10.36 tff(31211,plain,
% 14.60/10.36 (~node4(s347)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28668, 36, 31017])).
% 14.60/10.36 tff(31212,plain,
% 14.60/10.36 (xuntil6(s347) | (~until5(s347))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28675, 294, 31211])).
% 14.60/10.36 tff(31213,plain,
% 14.60/10.36 (xuntil6(s347)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31212, 31210])).
% 14.60/10.36 tff(31214,plain,
% 14.60/10.36 (until5(s348)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28681, 31213])).
% 14.60/10.36 tff(31215,plain,
% 14.60/10.36 (~node4(s348)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28685, 36, 31016])).
% 14.60/10.36 tff(31216,plain,
% 14.60/10.36 (xuntil6(s348) | (~until5(s348))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28692, 294, 31215])).
% 14.60/10.36 tff(31217,plain,
% 14.60/10.36 (xuntil6(s348)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31216, 31214])).
% 14.60/10.36 tff(31218,plain,
% 14.60/10.36 (until5(s349)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28698, 31217])).
% 14.60/10.36 tff(31219,plain,
% 14.60/10.36 (~node4(s349)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28702, 36, 31015])).
% 14.60/10.36 tff(31220,plain,
% 14.60/10.36 (xuntil6(s349) | (~until5(s349))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28709, 294, 31219])).
% 14.60/10.36 tff(31221,plain,
% 14.60/10.36 (xuntil6(s349)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31220, 31218])).
% 14.60/10.36 tff(31222,plain,
% 14.60/10.36 (until5(s350)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28715, 31221])).
% 14.60/10.36 tff(31223,plain,
% 14.60/10.36 (~node4(s350)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28719, 36, 31014])).
% 14.60/10.36 tff(31224,plain,
% 14.60/10.36 (xuntil6(s350) | (~until5(s350))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[28726, 294, 31223])).
% 14.60/10.36 tff(31225,plain,
% 14.60/10.36 ($false),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31224, 31222, 31013])).
% 14.60/10.36 tff(31226,plain,(always3(s392) | (~until5(s308)) | xuntil6(s392)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.36 tff(31227,plain,
% 14.60/10.36 (always3(s392)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31226, 30804, 26199])).
% 14.60/10.36 tff(31228,plain,
% 14.60/10.36 (always3(s393)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26314, 31227])).
% 14.60/10.36 tff(31229,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s393)) | (~m_main_v_state(s393, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s393)) | (~m_main_v_state(s393, c_busy)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31230,plain,
% 14.60/10.36 (((~m_main_v_state(s393, c_busy)) | (~always3(s393))) <=> ((~always3(s393)) | (~m_main_v_state(s393, c_busy)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31231,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s393, c_busy)) | (~always3(s393)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s393)) | (~m_main_v_state(s393, c_busy))))),
% 14.60/10.36 inference(monotonicity,[status(thm)],[31230])).
% 14.60/10.36 tff(31232,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s393, c_busy)) | (~always3(s393)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s393)) | (~m_main_v_state(s393, c_busy)))),
% 14.60/10.36 inference(transitivity,[status(thm)],[31231, 31229])).
% 14.60/10.36 tff(31233,plain,
% 14.60/10.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s393, c_busy)) | (~always3(s393)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31234,plain,
% 14.60/10.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s393)) | (~m_main_v_state(s393, c_busy))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31233, 31232])).
% 14.60/10.36 tff(31235,plain,
% 14.60/10.36 (~m_main_v_state(s393, c_busy)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31234, 85, 31228])).
% 14.60/10.36 tff(31236,assumption,(until5(s392)), introduced(assumption)).
% 14.60/10.36 tff(31237,plain,
% 14.60/10.36 (xuntil6(s392) | node4(s392)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26325, 294, 31236])).
% 14.60/10.36 tff(31238,plain,
% 14.60/10.36 (node4(s392)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31237, 30804])).
% 14.60/10.36 tff(31239,plain,
% 14.60/10.36 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s392) | (~node4(s392)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s392) | (~node4(s392)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31240,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s392) | (~node4(s392)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31241,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s392) | (~node4(s392))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31240, 31239])).
% 14.60/10.36 tff(31242,plain,
% 14.60/10.36 (m_main_v_request(s392)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31241, 21, 31238])).
% 14.60/10.36 tff(31243,plain,
% 14.60/10.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s392, s393)) | node2(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s392, s393)) | node2(s392, s393))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31244,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s392, s393)) | node2(s392, s393))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31245,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s392, s393)) | node2(s392, s393)),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31244, 31243])).
% 14.60/10.36 tff(31246,plain,
% 14.60/10.36 (node2(s392, s393)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31245, 7, 26310])).
% 14.60/10.36 tff(31247,plain,
% 14.60/10.36 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s392, c_ready)) | (~node2(s392, s393)) | m_main_v_state(s393, c_busy) | (~m_main_v_request(s392)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s392, c_ready)) | (~node2(s392, s393)) | m_main_v_state(s393, c_busy) | (~m_main_v_request(s392)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31248,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s392, c_ready)) | (~node2(s392, s393)) | m_main_v_state(s393, c_busy) | (~m_main_v_request(s392)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31249,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s392, c_ready)) | (~node2(s392, s393)) | m_main_v_state(s393, c_busy) | (~m_main_v_request(s392))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31248, 31247])).
% 14.60/10.36 tff(31250,plain,
% 14.60/10.36 ((~m_main_v_state(s392, c_ready)) | m_main_v_state(s393, c_busy) | (~m_main_v_request(s392))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31249, 73, 31246])).
% 14.60/10.36 tff(31251,plain,
% 14.60/10.36 (~m_main_v_state(s392, c_ready)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31250, 31242, 31235])).
% 14.60/10.36 tff(31252,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s392)) | (~m_main_v_state(s392, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s392)) | (~m_main_v_state(s392, c_busy)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31253,plain,
% 14.60/10.36 (((~m_main_v_state(s392, c_busy)) | (~always3(s392))) <=> ((~always3(s392)) | (~m_main_v_state(s392, c_busy)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31254,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s392, c_busy)) | (~always3(s392)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s392)) | (~m_main_v_state(s392, c_busy))))),
% 14.60/10.36 inference(monotonicity,[status(thm)],[31253])).
% 14.60/10.36 tff(31255,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s392, c_busy)) | (~always3(s392)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s392)) | (~m_main_v_state(s392, c_busy)))),
% 14.60/10.36 inference(transitivity,[status(thm)],[31254, 31252])).
% 14.60/10.36 tff(31256,plain,
% 14.60/10.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s392, c_busy)) | (~always3(s392)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31257,plain,
% 14.60/10.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s392)) | (~m_main_v_state(s392, c_busy))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31256, 31255])).
% 14.60/10.36 tff(31258,plain,
% 14.60/10.36 (~m_main_v_state(s392, c_busy)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31257, 85, 31227])).
% 14.60/10.36 tff(31259,plain,
% 14.60/10.36 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s392, c_busy) | m_main_v_state(s392, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s392, c_busy) | m_main_v_state(s392, c_ready))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31260,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s392, c_busy) | m_main_v_state(s392, c_ready))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31261,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s392, c_busy) | m_main_v_state(s392, c_ready)),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31260, 31259])).
% 14.60/10.36 tff(31262,plain,
% 14.60/10.36 ($false),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31261, 102, 31258, 31251])).
% 14.60/10.36 tff(31263,plain,(xuntil6(s392) | (~until5(s392)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.36 tff(31264,plain,
% 14.60/10.36 (~until5(s392)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31263, 30804, 26199])).
% 14.60/10.36 tff(31265,plain,
% 14.60/10.36 (~xuntil6(s391)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26334, 31264])).
% 14.60/10.36 tff(31266,assumption,(~m_main_v_state(s392, c_busy)), introduced(assumption)).
% 14.60/10.36 tff(31267,assumption,(~xuntil6(s391)), introduced(assumption)).
% 14.60/10.36 tff(31268,assumption,(~always3(s391)), introduced(assumption)).
% 14.60/10.36 tff(31269,plain,
% 14.60/10.36 (~always3(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26372, 31268])).
% 14.60/10.36 tff(31270,plain,
% 14.60/10.36 (~node4(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26376, 36, 31269])).
% 14.60/10.36 tff(31271,plain,
% 14.60/10.36 (~always3(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26401, 31269])).
% 14.60/10.36 tff(31272,plain,
% 14.60/10.36 (~node4(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26405, 36, 31271])).
% 14.60/10.36 tff(31273,plain,
% 14.60/10.36 (xuntil6(s389) | node4(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26412, 294, 30803])).
% 14.60/10.36 tff(31274,plain,
% 14.60/10.36 (xuntil6(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31273, 31272])).
% 14.60/10.36 tff(31275,plain,
% 14.60/10.36 (until5(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26392, 31274])).
% 14.60/10.36 tff(31276,plain,
% 14.60/10.36 (xuntil6(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26383, 294, 31275, 31270])).
% 14.60/10.36 tff(31277,plain,
% 14.60/10.36 (until5(s391)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26363, 31276])).
% 14.60/10.36 tff(31278,plain,
% 14.60/10.36 (node4(s391) | (~until5(s391))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26354, 294, 31267])).
% 14.60/10.36 tff(31279,plain,
% 14.60/10.36 (node4(s391)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31278, 31277])).
% 14.60/10.36 tff(31280,plain,
% 14.60/10.36 ($false),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26347, 36, 31268, 31279])).
% 14.60/10.36 tff(31281,plain,(always3(s391) | xuntil6(s391) | (~until5(s389))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.36 tff(31282,plain,
% 14.60/10.36 (always3(s391)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31281, 30803, 31267])).
% 14.60/10.36 tff(31283,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s391)) | (~m_main_v_state(s391, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s391)) | (~m_main_v_state(s391, c_busy)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31284,plain,
% 14.60/10.36 (((~m_main_v_state(s391, c_busy)) | (~always3(s391))) <=> ((~always3(s391)) | (~m_main_v_state(s391, c_busy)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31285,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s391, c_busy)) | (~always3(s391)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s391)) | (~m_main_v_state(s391, c_busy))))),
% 14.60/10.36 inference(monotonicity,[status(thm)],[31284])).
% 14.60/10.36 tff(31286,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s391, c_busy)) | (~always3(s391)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s391)) | (~m_main_v_state(s391, c_busy)))),
% 14.60/10.36 inference(transitivity,[status(thm)],[31285, 31283])).
% 14.60/10.36 tff(31287,plain,
% 14.60/10.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s391, c_busy)) | (~always3(s391)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31288,plain,
% 14.60/10.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s391)) | (~m_main_v_state(s391, c_busy))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31287, 31286])).
% 14.60/10.36 tff(31289,plain,
% 14.60/10.36 (~m_main_v_state(s391, c_busy)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31288, 85, 31282])).
% 14.60/10.36 tff(31290,plain,
% 14.60/10.36 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s391, c_busy) | m_main_v_state(s391, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s391, c_busy) | m_main_v_state(s391, c_ready))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31291,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s391, c_busy) | m_main_v_state(s391, c_ready))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31292,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s391, c_busy) | m_main_v_state(s391, c_ready)),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31291, 31290])).
% 14.60/10.36 tff(31293,plain,
% 14.60/10.36 (m_main_v_state(s391, c_ready)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31292, 102, 31289])).
% 14.60/10.36 tff(31294,plain,
% 14.60/10.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s391, s392)) | node2(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s391, s392)) | node2(s391, s392))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31295,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s391, s392)) | node2(s391, s392))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31296,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s391, s392)) | node2(s391, s392)),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31295, 31294])).
% 14.60/10.36 tff(31297,plain,
% 14.60/10.36 (node2(s391, s392)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31296, 7, 26339])).
% 14.60/10.36 tff(31298,plain,
% 14.60/10.36 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s391, c_ready)) | (~node2(s391, s392)) | m_main_v_state(s392, c_busy) | (~m_main_v_request(s391)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s391, c_ready)) | (~node2(s391, s392)) | m_main_v_state(s392, c_busy) | (~m_main_v_request(s391)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31299,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s391, c_ready)) | (~node2(s391, s392)) | m_main_v_state(s392, c_busy) | (~m_main_v_request(s391)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31300,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s391, c_ready)) | (~node2(s391, s392)) | m_main_v_state(s392, c_busy) | (~m_main_v_request(s391))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31299, 31298])).
% 14.60/10.36 tff(31301,plain,
% 14.60/10.36 ((~m_main_v_state(s391, c_ready)) | m_main_v_state(s392, c_busy) | (~m_main_v_request(s391))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31300, 73, 31297])).
% 14.60/10.36 tff(31302,plain,
% 14.60/10.36 (~m_main_v_request(s391)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31301, 31293, 31266])).
% 14.60/10.36 tff(31303,plain,
% 14.60/10.36 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s391) | (~node4(s391)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s391) | (~node4(s391)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31304,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s391) | (~node4(s391)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31305,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s391) | (~node4(s391))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31304, 31303])).
% 14.60/10.36 tff(31306,plain,
% 14.60/10.36 (~node4(s391)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31305, 21, 31302])).
% 14.60/10.36 tff(31307,plain,
% 14.60/10.36 (~until5(s391)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31278, 31306])).
% 14.60/10.36 tff(31308,plain,
% 14.60/10.36 (~xuntil6(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26363, 31307])).
% 14.60/10.36 tff(31309,assumption,(~always3(s390)), introduced(assumption)).
% 14.60/10.36 tff(31310,plain,
% 14.60/10.36 (~always3(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26401, 31309])).
% 14.60/10.36 tff(31311,plain,
% 14.60/10.36 (~node4(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26405, 36, 31310])).
% 14.60/10.36 tff(31312,plain,
% 14.60/10.36 (xuntil6(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31273, 31311])).
% 14.60/10.36 tff(31313,plain,
% 14.60/10.36 (until5(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26392, 31312])).
% 14.60/10.36 tff(31314,assumption,(~xuntil6(s390)), introduced(assumption)).
% 14.60/10.36 tff(31315,plain,
% 14.60/10.36 (node4(s390) | (~until5(s390))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26383, 294, 31314])).
% 14.60/10.36 tff(31316,plain,
% 14.60/10.36 (node4(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31315, 31313])).
% 14.60/10.36 tff(31317,plain,
% 14.60/10.36 ($false),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26376, 36, 31309, 31316])).
% 14.60/10.36 tff(31318,plain,(always3(s390) | xuntil6(s390) | (~until5(s389))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.36 tff(31319,plain,
% 14.60/10.36 (always3(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31318, 31308, 30803])).
% 14.60/10.36 tff(31320,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s390)) | (~m_main_v_state(s390, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s390)) | (~m_main_v_state(s390, c_busy)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31321,plain,
% 14.60/10.36 (((~m_main_v_state(s390, c_busy)) | (~always3(s390))) <=> ((~always3(s390)) | (~m_main_v_state(s390, c_busy)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31322,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s390, c_busy)) | (~always3(s390)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s390)) | (~m_main_v_state(s390, c_busy))))),
% 14.60/10.36 inference(monotonicity,[status(thm)],[31321])).
% 14.60/10.36 tff(31323,plain,
% 14.60/10.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s390, c_busy)) | (~always3(s390)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s390)) | (~m_main_v_state(s390, c_busy)))),
% 14.60/10.36 inference(transitivity,[status(thm)],[31322, 31320])).
% 14.60/10.36 tff(31324,plain,
% 14.60/10.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s390, c_busy)) | (~always3(s390)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31325,plain,
% 14.60/10.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s390)) | (~m_main_v_state(s390, c_busy))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31324, 31323])).
% 14.60/10.36 tff(31326,plain,
% 14.60/10.36 (~m_main_v_state(s390, c_busy)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31325, 85, 31319])).
% 14.60/10.36 tff(31327,plain,
% 14.60/10.36 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s390, c_busy) | m_main_v_state(s390, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s390, c_busy) | m_main_v_state(s390, c_ready))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31328,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s390, c_busy) | m_main_v_state(s390, c_ready))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31329,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s390, c_busy) | m_main_v_state(s390, c_ready)),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 14.60/10.36 tff(31330,plain,
% 14.60/10.36 (m_main_v_state(s390, c_ready)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31329, 102, 31326])).
% 14.60/10.36 tff(31331,plain,
% 14.60/10.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s390, s391)) | node2(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s390, s391)) | node2(s390, s391))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31332,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s390, s391)) | node2(s390, s391))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31333,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s390, s391)) | node2(s390, s391)),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 14.60/10.36 tff(31334,plain,
% 14.60/10.36 (node2(s390, s391)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31333, 7, 26368])).
% 14.60/10.36 tff(31335,plain,
% 14.60/10.36 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s390, c_ready)) | (~node2(s390, s391)) | m_main_v_state(s391, c_busy) | (~m_main_v_request(s390)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s390, c_ready)) | (~node2(s390, s391)) | m_main_v_state(s391, c_busy) | (~m_main_v_request(s390)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31336,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s390, c_ready)) | (~node2(s390, s391)) | m_main_v_state(s391, c_busy) | (~m_main_v_request(s390)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31337,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s390, c_ready)) | (~node2(s390, s391)) | m_main_v_state(s391, c_busy) | (~m_main_v_request(s390))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31336, 31335])).
% 14.60/10.36 tff(31338,plain,
% 14.60/10.36 ((~m_main_v_state(s390, c_ready)) | m_main_v_state(s391, c_busy) | (~m_main_v_request(s390))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31337, 73, 31334])).
% 14.60/10.36 tff(31339,plain,
% 14.60/10.36 (~m_main_v_request(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31338, 31330, 31289])).
% 14.60/10.36 tff(31340,plain,
% 14.60/10.36 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s390) | (~node4(s390)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s390) | (~node4(s390)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31341,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s390) | (~node4(s390)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31342,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s390) | (~node4(s390))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 14.60/10.36 tff(31343,plain,
% 14.60/10.36 (~node4(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31342, 21, 31339])).
% 14.60/10.36 tff(31344,plain,
% 14.60/10.36 (node4(s390) | (~until5(s390))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26383, 294, 31308])).
% 14.60/10.36 tff(31345,plain,
% 14.60/10.36 (~until5(s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31344, 31343])).
% 14.60/10.36 tff(31346,plain,
% 14.60/10.36 (~xuntil6(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26392, 31345])).
% 14.60/10.36 tff(31347,plain,
% 14.60/10.36 (node4(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31273, 31346])).
% 14.60/10.36 tff(31348,plain,
% 14.60/10.36 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s389) | (~node4(s389)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s389) | (~node4(s389)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31349,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s389) | (~node4(s389)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31350,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s389) | (~node4(s389))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31349, 31348])).
% 14.60/10.36 tff(31351,plain,
% 14.60/10.36 (m_main_v_request(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31350, 21, 31347])).
% 14.60/10.36 tff(31352,plain,
% 14.60/10.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s389, s390)) | node2(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s389, s390)) | node2(s389, s390))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31353,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s389, s390)) | node2(s389, s390))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31354,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s389, s390)) | node2(s389, s390)),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31353, 31352])).
% 14.60/10.36 tff(31355,plain,
% 14.60/10.36 (node2(s389, s390)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31354, 7, 26397])).
% 14.60/10.36 tff(31356,plain,
% 14.60/10.36 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s389, c_ready)) | (~node2(s389, s390)) | m_main_v_state(s390, c_busy) | (~m_main_v_request(s389)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s389, c_ready)) | (~node2(s389, s390)) | m_main_v_state(s390, c_busy) | (~m_main_v_request(s389)))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31357,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s389, c_ready)) | (~node2(s389, s390)) | m_main_v_state(s390, c_busy) | (~m_main_v_request(s389)))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31358,plain,
% 14.60/10.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s389, c_ready)) | (~node2(s389, s390)) | m_main_v_state(s390, c_busy) | (~m_main_v_request(s389))),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31357, 31356])).
% 14.60/10.36 tff(31359,plain,
% 14.60/10.36 ((~m_main_v_state(s389, c_ready)) | m_main_v_state(s390, c_busy) | (~m_main_v_request(s389))),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31358, 73, 31355])).
% 14.60/10.36 tff(31360,plain,
% 14.60/10.36 (~m_main_v_state(s389, c_ready)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31359, 31351, 31326])).
% 14.60/10.36 tff(31361,plain,
% 14.60/10.36 (always3(s389)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26405, 36, 31347])).
% 14.60/10.36 tff(31362,plain,
% 14.60/10.36 (~m_main_v_state(s389, c_busy)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[30210, 85, 31361])).
% 14.60/10.36 tff(31363,plain,
% 14.60/10.36 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s389, c_busy) | m_main_v_state(s389, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s389, c_busy) | m_main_v_state(s389, c_ready))),
% 14.60/10.36 inference(rewrite,[status(thm)],[])).
% 14.60/10.36 tff(31364,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s389, c_busy) | m_main_v_state(s389, c_ready))),
% 14.60/10.36 inference(quant_inst,[status(thm)],[])).
% 14.60/10.36 tff(31365,plain,
% 14.60/10.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s389, c_busy) | m_main_v_state(s389, c_ready)),
% 14.60/10.36 inference(modus_ponens,[status(thm)],[31364, 31363])).
% 14.60/10.36 tff(31366,plain,
% 14.60/10.36 ($false),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31365, 102, 31362, 31360])).
% 14.60/10.36 tff(31367,plain,((~until5(s389)) | xuntil6(s391) | m_main_v_state(s392, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.36 tff(31368,plain,
% 14.60/10.36 (m_main_v_state(s392, c_busy)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31367, 31265, 30803])).
% 14.60/10.36 tff(31369,plain,
% 14.60/10.36 ($false),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31257, 85, 31227, 31368])).
% 14.60/10.36 tff(31370,plain,(xuntil6(s392) | (~until5(s389)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.36 tff(31371,plain,
% 14.60/10.36 (xuntil6(s392)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[31370, 28877, 30802])).
% 14.60/10.36 tff(31372,plain,
% 14.60/10.36 (until5(s393)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26305, 31371])).
% 14.60/10.36 tff(31373,plain,
% 14.60/10.36 (xuntil6(s393)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26296, 294, 31372, 28878])).
% 14.60/10.36 tff(31374,plain,
% 14.60/10.36 (until5(s394)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26276, 31373])).
% 14.60/10.36 tff(31375,assumption,(~node1(s393)), introduced(assumption)).
% 14.60/10.36 tff(31376,assumption,(~always3(s394)), introduced(assumption)).
% 14.60/10.36 tff(31377,plain,
% 14.60/10.36 (~always3(s393)),
% 14.60/10.36 inference(unit_resolution,[status(thm)],[26285, 31376])).
% 14.60/10.37 tff(31378,plain,
% 14.60/10.37 (~node4(s393)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26289, 36, 31377])).
% 14.60/10.37 tff(31379,plain,
% 14.60/10.37 (~node4(s394)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26260, 36, 31376])).
% 14.60/10.37 tff(31380,plain,
% 14.60/10.37 (node4(s394) | (~until5(s394))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26267, 294, 28815])).
% 14.60/10.37 tff(31381,plain,
% 14.60/10.37 (~until5(s394)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31380, 31379])).
% 14.60/10.37 tff(31382,plain,
% 14.60/10.37 (~xuntil6(s393)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26276, 31381])).
% 14.60/10.37 tff(31383,plain,
% 14.60/10.37 (~until5(s393)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26296, 294, 31382, 31378])).
% 14.60/10.37 tff(31384,plain,
% 14.60/10.37 (~xuntil6(s392)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26305, 31383])).
% 14.60/10.37 tff(31385,plain,
% 14.60/10.37 (~always3(s392)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26314, 31377])).
% 14.60/10.37 tff(31386,plain,
% 14.60/10.37 (~node4(s392)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26318, 36, 31385])).
% 14.60/10.37 tff(31387,plain,
% 14.60/10.37 (xuntil6(s392) | (~until5(s392))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26325, 294, 31386])).
% 14.60/10.37 tff(31388,plain,
% 14.60/10.37 (~until5(s392)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31387, 31384])).
% 14.60/10.37 tff(31389,plain,
% 14.60/10.37 (~xuntil6(s391)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26334, 31388])).
% 14.60/10.37 tff(31390,plain,
% 14.60/10.37 (~always3(s391)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26343, 31385])).
% 14.60/10.37 tff(31391,plain,
% 14.60/10.37 (~node4(s391)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26347, 36, 31390])).
% 14.60/10.37 tff(31392,plain,
% 14.60/10.37 (xuntil6(s391) | (~until5(s391))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26354, 294, 31391])).
% 14.60/10.37 tff(31393,plain,
% 14.60/10.37 (~until5(s391)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31392, 31389])).
% 14.60/10.37 tff(31394,plain,
% 14.60/10.37 (~xuntil6(s390)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26363, 31393])).
% 14.60/10.37 tff(31395,plain,
% 14.60/10.37 (~always3(s390)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26372, 31390])).
% 14.60/10.37 tff(31396,plain,
% 14.60/10.37 (~node4(s390)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26376, 36, 31395])).
% 14.60/10.37 tff(31397,plain,
% 14.60/10.37 (xuntil6(s390) | (~until5(s390))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26383, 294, 31396])).
% 14.60/10.37 tff(31398,plain,
% 14.60/10.37 (~until5(s390)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31397, 31394])).
% 14.60/10.37 tff(31399,plain,
% 14.60/10.37 (~xuntil6(s389)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26392, 31398])).
% 14.60/10.37 tff(31400,plain,
% 14.60/10.37 (~always3(s389)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26401, 31395])).
% 14.60/10.37 tff(31401,plain,
% 14.60/10.37 (~node4(s389)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26405, 36, 31400])).
% 14.60/10.37 tff(31402,plain,
% 14.60/10.37 (xuntil6(s389) | (~until5(s389))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26412, 294, 31401])).
% 14.60/10.37 tff(31403,plain,
% 14.60/10.37 (~until5(s389)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31402, 31399])).
% 14.60/10.37 tff(31404,plain,
% 14.60/10.37 (~xuntil6(s388)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26421, 31403])).
% 14.60/10.37 tff(31405,plain,
% 14.60/10.37 (~always3(s388)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26430, 31400])).
% 14.60/10.37 tff(31406,plain,
% 14.60/10.37 (~node4(s388)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26434, 36, 31405])).
% 14.60/10.37 tff(31407,plain,
% 14.60/10.37 (xuntil6(s388) | (~until5(s388))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26441, 294, 31406])).
% 14.60/10.37 tff(31408,plain,
% 14.60/10.37 (~until5(s388)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31407, 31404])).
% 14.60/10.37 tff(31409,plain,
% 14.60/10.37 (~xuntil6(s387)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26450, 31408])).
% 14.60/10.37 tff(31410,plain,
% 14.60/10.37 (~always3(s387)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26459, 31405])).
% 14.60/10.37 tff(31411,plain,
% 14.60/10.37 (~node4(s387)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26463, 36, 31410])).
% 14.60/10.37 tff(31412,plain,
% 14.60/10.37 (xuntil6(s387) | (~until5(s387))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26470, 294, 31411])).
% 14.60/10.37 tff(31413,plain,
% 14.60/10.37 (~until5(s387)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31412, 31409])).
% 14.60/10.37 tff(31414,plain,
% 14.60/10.37 (~xuntil6(s386)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26479, 31413])).
% 14.60/10.37 tff(31415,plain,
% 14.60/10.37 (~always3(s386)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26488, 31410])).
% 14.60/10.37 tff(31416,plain,
% 14.60/10.37 (~node4(s386)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26492, 36, 31415])).
% 14.60/10.37 tff(31417,plain,
% 14.60/10.37 (xuntil6(s386) | (~until5(s386))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26499, 294, 31416])).
% 14.60/10.37 tff(31418,plain,
% 14.60/10.37 (~until5(s386)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31417, 31414])).
% 14.60/10.37 tff(31419,plain,
% 14.60/10.37 (~xuntil6(s385)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26508, 31418])).
% 14.60/10.37 tff(31420,plain,
% 14.60/10.37 (~always3(s385)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26517, 31415])).
% 14.60/10.37 tff(31421,plain,
% 14.60/10.37 (~node4(s385)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26521, 36, 31420])).
% 14.60/10.37 tff(31422,plain,
% 14.60/10.37 (xuntil6(s385) | (~until5(s385))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26528, 294, 31421])).
% 14.60/10.37 tff(31423,plain,
% 14.60/10.37 (~until5(s385)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31422, 31419])).
% 14.60/10.37 tff(31424,plain,
% 14.60/10.37 (~xuntil6(s384)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26537, 31423])).
% 14.60/10.37 tff(31425,plain,
% 14.60/10.37 (~always3(s384)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26546, 31420])).
% 14.60/10.37 tff(31426,plain,
% 14.60/10.37 (~node4(s384)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26550, 36, 31425])).
% 14.60/10.37 tff(31427,plain,
% 14.60/10.37 (xuntil6(s384) | (~until5(s384))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26557, 294, 31426])).
% 14.60/10.37 tff(31428,plain,
% 14.60/10.37 (~until5(s384)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31427, 31424])).
% 14.60/10.37 tff(31429,plain,
% 14.60/10.37 (~xuntil6(s383)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26566, 31428])).
% 14.60/10.37 tff(31430,plain,
% 14.60/10.37 (~always3(s383)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26575, 31425])).
% 14.60/10.37 tff(31431,plain,
% 14.60/10.37 (~node4(s383)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26579, 36, 31430])).
% 14.60/10.37 tff(31432,plain,
% 14.60/10.37 (xuntil6(s383) | (~until5(s383))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26586, 294, 31431])).
% 14.60/10.37 tff(31433,plain,
% 14.60/10.37 (~until5(s383)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31432, 31429])).
% 14.60/10.37 tff(31434,plain,
% 14.60/10.37 (~xuntil6(s382)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26595, 31433])).
% 14.60/10.37 tff(31435,plain,
% 14.60/10.37 (~always3(s382)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26604, 31430])).
% 14.60/10.37 tff(31436,plain,
% 14.60/10.37 (~node4(s382)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26608, 36, 31435])).
% 14.60/10.37 tff(31437,plain,
% 14.60/10.37 (xuntil6(s382) | (~until5(s382))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26615, 294, 31436])).
% 14.60/10.37 tff(31438,plain,
% 14.60/10.37 (~until5(s382)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31437, 31434])).
% 14.60/10.37 tff(31439,plain,
% 14.60/10.37 (~xuntil6(s381)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26624, 31438])).
% 14.60/10.37 tff(31440,plain,
% 14.60/10.37 (~always3(s381)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26633, 31435])).
% 14.60/10.37 tff(31441,plain,
% 14.60/10.37 (~node4(s381)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26637, 36, 31440])).
% 14.60/10.37 tff(31442,plain,
% 14.60/10.37 (xuntil6(s381) | (~until5(s381))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26644, 294, 31441])).
% 14.60/10.37 tff(31443,plain,
% 14.60/10.37 (~until5(s381)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31442, 31439])).
% 14.60/10.37 tff(31444,plain,
% 14.60/10.37 (~xuntil6(s380)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26653, 31443])).
% 14.60/10.37 tff(31445,plain,
% 14.60/10.37 (~always3(s380)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26662, 31440])).
% 14.60/10.37 tff(31446,plain,
% 14.60/10.37 (~node4(s380)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26666, 36, 31445])).
% 14.60/10.37 tff(31447,plain,
% 14.60/10.37 (xuntil6(s380) | (~until5(s380))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26673, 294, 31446])).
% 14.60/10.37 tff(31448,plain,
% 14.60/10.37 (~until5(s380)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31447, 31444])).
% 14.60/10.37 tff(31449,plain,
% 14.60/10.37 (~xuntil6(s379)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26682, 31448])).
% 14.60/10.37 tff(31450,plain,
% 14.60/10.37 (~always3(s379)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26691, 31445])).
% 14.60/10.37 tff(31451,plain,
% 14.60/10.37 (~node4(s379)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26695, 36, 31450])).
% 14.60/10.37 tff(31452,plain,
% 14.60/10.37 (xuntil6(s379) | (~until5(s379))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26702, 294, 31451])).
% 14.60/10.37 tff(31453,plain,
% 14.60/10.37 (~until5(s379)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31452, 31449])).
% 14.60/10.37 tff(31454,plain,
% 14.60/10.37 (~xuntil6(s378)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26711, 31453])).
% 14.60/10.37 tff(31455,plain,
% 14.60/10.37 (~always3(s378)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26720, 31450])).
% 14.60/10.37 tff(31456,plain,
% 14.60/10.37 (~node4(s378)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26724, 36, 31455])).
% 14.60/10.37 tff(31457,plain,
% 14.60/10.37 (xuntil6(s378) | (~until5(s378))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26731, 294, 31456])).
% 14.60/10.37 tff(31458,plain,
% 14.60/10.37 (~until5(s378)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31457, 31454])).
% 14.60/10.37 tff(31459,plain,
% 14.60/10.37 (~xuntil6(s377)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26740, 31458])).
% 14.60/10.37 tff(31460,plain,
% 14.60/10.37 (~always3(s377)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26749, 31455])).
% 14.60/10.37 tff(31461,plain,
% 14.60/10.37 (~node4(s377)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26753, 36, 31460])).
% 14.60/10.37 tff(31462,plain,
% 14.60/10.37 (xuntil6(s377) | (~until5(s377))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26760, 294, 31461])).
% 14.60/10.37 tff(31463,plain,
% 14.60/10.37 (~until5(s377)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31462, 31459])).
% 14.60/10.37 tff(31464,plain,
% 14.60/10.37 (~xuntil6(s376)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26769, 31463])).
% 14.60/10.37 tff(31465,plain,
% 14.60/10.37 (~always3(s376)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26778, 31460])).
% 14.60/10.37 tff(31466,plain,
% 14.60/10.37 (~node4(s376)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26782, 36, 31465])).
% 14.60/10.37 tff(31467,plain,
% 14.60/10.37 (xuntil6(s376) | (~until5(s376))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26789, 294, 31466])).
% 14.60/10.37 tff(31468,plain,
% 14.60/10.37 (~until5(s376)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31467, 31464])).
% 14.60/10.37 tff(31469,plain,
% 14.60/10.37 (~xuntil6(s375)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26798, 31468])).
% 14.60/10.37 tff(31470,plain,
% 14.60/10.37 (~always3(s375)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26807, 31465])).
% 14.60/10.37 tff(31471,plain,
% 14.60/10.37 (~node4(s375)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26811, 36, 31470])).
% 14.60/10.37 tff(31472,plain,
% 14.60/10.37 (xuntil6(s375) | (~until5(s375))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26818, 294, 31471])).
% 14.60/10.37 tff(31473,plain,
% 14.60/10.37 (~until5(s375)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31472, 31469])).
% 14.60/10.37 tff(31474,plain,
% 14.60/10.37 (~xuntil6(s374)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26827, 31473])).
% 14.60/10.37 tff(31475,plain,
% 14.60/10.37 (~always3(s374)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26836, 31470])).
% 14.60/10.37 tff(31476,plain,
% 14.60/10.37 (~node4(s374)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26840, 36, 31475])).
% 14.60/10.37 tff(31477,plain,
% 14.60/10.37 (xuntil6(s374) | (~until5(s374))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26847, 294, 31476])).
% 14.60/10.37 tff(31478,plain,
% 14.60/10.37 (~until5(s374)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31477, 31474])).
% 14.60/10.37 tff(31479,plain,
% 14.60/10.37 (~xuntil6(s373)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26856, 31478])).
% 14.60/10.37 tff(31480,plain,
% 14.60/10.37 (~always3(s373)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26865, 31475])).
% 14.60/10.37 tff(31481,plain,
% 14.60/10.37 (~node4(s373)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26869, 36, 31480])).
% 14.60/10.37 tff(31482,plain,
% 14.60/10.37 (xuntil6(s373) | (~until5(s373))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26876, 294, 31481])).
% 14.60/10.37 tff(31483,plain,
% 14.60/10.37 (~until5(s373)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31482, 31479])).
% 14.60/10.37 tff(31484,plain,
% 14.60/10.37 (~xuntil6(s372)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26885, 31483])).
% 14.60/10.37 tff(31485,plain,
% 14.60/10.37 (~always3(s372)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26894, 31480])).
% 14.60/10.37 tff(31486,plain,
% 14.60/10.37 (~node4(s372)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26898, 36, 31485])).
% 14.60/10.37 tff(31487,plain,
% 14.60/10.37 (xuntil6(s372) | (~until5(s372))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26905, 294, 31486])).
% 14.60/10.37 tff(31488,plain,
% 14.60/10.37 (~until5(s372)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31487, 31484])).
% 14.60/10.37 tff(31489,plain,
% 14.60/10.37 (~xuntil6(s371)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26914, 31488])).
% 14.60/10.37 tff(31490,plain,
% 14.60/10.37 (~always3(s371)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26923, 31485])).
% 14.60/10.37 tff(31491,plain,
% 14.60/10.37 (~node4(s371)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26927, 36, 31490])).
% 14.60/10.37 tff(31492,plain,
% 14.60/10.37 (xuntil6(s371) | (~until5(s371))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26934, 294, 31491])).
% 14.60/10.37 tff(31493,plain,
% 14.60/10.37 (~until5(s371)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31492, 31489])).
% 14.60/10.37 tff(31494,plain,
% 14.60/10.37 (~xuntil6(s370)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26943, 31493])).
% 14.60/10.37 tff(31495,plain,
% 14.60/10.37 (~always3(s370)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26952, 31490])).
% 14.60/10.37 tff(31496,plain,
% 14.60/10.37 (~node4(s370)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26956, 36, 31495])).
% 14.60/10.37 tff(31497,plain,
% 14.60/10.37 (xuntil6(s370) | (~until5(s370))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26963, 294, 31496])).
% 14.60/10.37 tff(31498,plain,
% 14.60/10.37 (~until5(s370)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31497, 31494])).
% 14.60/10.37 tff(31499,plain,
% 14.60/10.37 (~xuntil6(s369)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26972, 31498])).
% 14.60/10.37 tff(31500,plain,
% 14.60/10.37 (~always3(s369)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26981, 31495])).
% 14.60/10.37 tff(31501,plain,
% 14.60/10.37 (~node4(s369)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26985, 36, 31500])).
% 14.60/10.37 tff(31502,plain,
% 14.60/10.37 (xuntil6(s369) | (~until5(s369))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26992, 294, 31501])).
% 14.60/10.37 tff(31503,plain,
% 14.60/10.37 (~until5(s369)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31502, 31499])).
% 14.60/10.37 tff(31504,plain,
% 14.60/10.37 (~xuntil6(s368)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27001, 31503])).
% 14.60/10.37 tff(31505,plain,
% 14.60/10.37 (~always3(s368)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27010, 31500])).
% 14.60/10.37 tff(31506,plain,
% 14.60/10.37 (~node4(s368)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27014, 36, 31505])).
% 14.60/10.37 tff(31507,plain,
% 14.60/10.37 (xuntil6(s368) | (~until5(s368))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27021, 294, 31506])).
% 14.60/10.37 tff(31508,plain,
% 14.60/10.37 (~until5(s368)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31507, 31504])).
% 14.60/10.37 tff(31509,plain,
% 14.60/10.37 (~xuntil6(s367)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27030, 31508])).
% 14.60/10.37 tff(31510,plain,
% 14.60/10.37 (~always3(s367)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27039, 31505])).
% 14.60/10.37 tff(31511,plain,
% 14.60/10.37 (~node4(s367)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27043, 36, 31510])).
% 14.60/10.37 tff(31512,plain,
% 14.60/10.37 (xuntil6(s367) | (~until5(s367))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27050, 294, 31511])).
% 14.60/10.37 tff(31513,plain,
% 14.60/10.37 (~until5(s367)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31512, 31509])).
% 14.60/10.37 tff(31514,plain,
% 14.60/10.37 (~xuntil6(s366)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27059, 31513])).
% 14.60/10.37 tff(31515,plain,
% 14.60/10.37 (~always3(s366)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27068, 31510])).
% 14.60/10.37 tff(31516,plain,
% 14.60/10.37 (~node4(s366)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27072, 36, 31515])).
% 14.60/10.37 tff(31517,plain,
% 14.60/10.37 (xuntil6(s366) | (~until5(s366))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27079, 294, 31516])).
% 14.60/10.37 tff(31518,plain,
% 14.60/10.37 (~until5(s366)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31517, 31514])).
% 14.60/10.37 tff(31519,plain,
% 14.60/10.37 (~xuntil6(s365)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27088, 31518])).
% 14.60/10.37 tff(31520,plain,
% 14.60/10.37 (~always3(s365)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27097, 31515])).
% 14.60/10.37 tff(31521,plain,
% 14.60/10.37 (~node4(s365)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27101, 36, 31520])).
% 14.60/10.37 tff(31522,plain,
% 14.60/10.37 (xuntil6(s365) | (~until5(s365))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27108, 294, 31521])).
% 14.60/10.37 tff(31523,plain,
% 14.60/10.37 (~until5(s365)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31522, 31519])).
% 14.60/10.37 tff(31524,plain,
% 14.60/10.37 (~xuntil6(s364)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27117, 31523])).
% 14.60/10.37 tff(31525,plain,
% 14.60/10.37 (~always3(s364)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27126, 31520])).
% 14.60/10.37 tff(31526,plain,
% 14.60/10.37 (~node4(s364)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27130, 36, 31525])).
% 14.60/10.37 tff(31527,plain,
% 14.60/10.37 (xuntil6(s364) | (~until5(s364))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27137, 294, 31526])).
% 14.60/10.37 tff(31528,plain,
% 14.60/10.37 (~until5(s364)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31527, 31524])).
% 14.60/10.37 tff(31529,plain,
% 14.60/10.37 (~xuntil6(s363)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27146, 31528])).
% 14.60/10.37 tff(31530,plain,
% 14.60/10.37 (~always3(s363)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27155, 31525])).
% 14.60/10.37 tff(31531,plain,
% 14.60/10.37 (~node4(s363)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27159, 36, 31530])).
% 14.60/10.37 tff(31532,plain,
% 14.60/10.37 (xuntil6(s363) | (~until5(s363))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27166, 294, 31531])).
% 14.60/10.37 tff(31533,plain,
% 14.60/10.37 (~until5(s363)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31532, 31529])).
% 14.60/10.37 tff(31534,plain,
% 14.60/10.37 (~xuntil6(s362)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27175, 31533])).
% 14.60/10.37 tff(31535,plain,
% 14.60/10.37 (~always3(s362)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27184, 31530])).
% 14.60/10.37 tff(31536,plain,
% 14.60/10.37 (~node4(s362)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27188, 36, 31535])).
% 14.60/10.37 tff(31537,plain,
% 14.60/10.37 (xuntil6(s362) | (~until5(s362))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27195, 294, 31536])).
% 14.60/10.37 tff(31538,plain,
% 14.60/10.37 (~until5(s362)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31537, 31534])).
% 14.60/10.37 tff(31539,plain,
% 14.60/10.37 (~xuntil6(s361)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27204, 31538])).
% 14.60/10.37 tff(31540,plain,
% 14.60/10.37 (~always3(s361)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27213, 31535])).
% 14.60/10.37 tff(31541,plain,
% 14.60/10.37 (~node4(s361)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27217, 36, 31540])).
% 14.60/10.37 tff(31542,plain,
% 14.60/10.37 (xuntil6(s361) | (~until5(s361))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27224, 294, 31541])).
% 14.60/10.37 tff(31543,plain,
% 14.60/10.37 (~until5(s361)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31542, 31539])).
% 14.60/10.37 tff(31544,plain,
% 14.60/10.37 (~xuntil6(s360)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27233, 31543])).
% 14.60/10.37 tff(31545,plain,
% 14.60/10.37 (~always3(s360)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27242, 31540])).
% 14.60/10.37 tff(31546,plain,
% 14.60/10.37 (~node4(s360)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27246, 36, 31545])).
% 14.60/10.37 tff(31547,plain,
% 14.60/10.37 (xuntil6(s360) | (~until5(s360))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27253, 294, 31546])).
% 14.60/10.37 tff(31548,plain,
% 14.60/10.37 (~until5(s360)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31547, 31544])).
% 14.60/10.37 tff(31549,plain,
% 14.60/10.37 (~xuntil6(s359)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27262, 31548])).
% 14.60/10.37 tff(31550,plain,
% 14.60/10.37 (~always3(s359)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27271, 31545])).
% 14.60/10.37 tff(31551,plain,
% 14.60/10.37 (~node4(s359)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27275, 36, 31550])).
% 14.60/10.37 tff(31552,plain,
% 14.60/10.37 (xuntil6(s359) | (~until5(s359))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27282, 294, 31551])).
% 14.60/10.37 tff(31553,plain,
% 14.60/10.37 (~until5(s359)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31552, 31549])).
% 14.60/10.37 tff(31554,plain,
% 14.60/10.37 (~xuntil6(s358)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27291, 31553])).
% 14.60/10.37 tff(31555,plain,
% 14.60/10.37 (~always3(s358)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27300, 31550])).
% 14.60/10.37 tff(31556,plain,
% 14.60/10.37 (~node4(s358)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27304, 36, 31555])).
% 14.60/10.37 tff(31557,plain,
% 14.60/10.37 (xuntil6(s358) | (~until5(s358))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27311, 294, 31556])).
% 14.60/10.37 tff(31558,plain,
% 14.60/10.37 (~until5(s358)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31557, 31554])).
% 14.60/10.37 tff(31559,plain,
% 14.60/10.37 (~xuntil6(s357)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27320, 31558])).
% 14.60/10.37 tff(31560,plain,
% 14.60/10.37 (~always3(s357)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27329, 31555])).
% 14.60/10.37 tff(31561,plain,
% 14.60/10.37 (~node4(s357)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27333, 36, 31560])).
% 14.60/10.37 tff(31562,plain,
% 14.60/10.37 (xuntil6(s357) | (~until5(s357))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27340, 294, 31561])).
% 14.60/10.37 tff(31563,plain,
% 14.60/10.37 (~until5(s357)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31562, 31559])).
% 14.60/10.37 tff(31564,plain,
% 14.60/10.37 (~xuntil6(s356)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27349, 31563])).
% 14.60/10.37 tff(31565,plain,
% 14.60/10.37 (~always3(s356)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27358, 31560])).
% 14.60/10.37 tff(31566,plain,
% 14.60/10.37 (~node4(s356)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27362, 36, 31565])).
% 14.60/10.37 tff(31567,plain,
% 14.60/10.37 (xuntil6(s356) | (~until5(s356))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27369, 294, 31566])).
% 14.60/10.37 tff(31568,plain,
% 14.60/10.37 (~until5(s356)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31567, 31564])).
% 14.60/10.37 tff(31569,plain,
% 14.60/10.37 (~xuntil6(s355)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27378, 31568])).
% 14.60/10.37 tff(31570,plain,
% 14.60/10.37 (~always3(s355)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27387, 31565])).
% 14.60/10.37 tff(31571,plain,
% 14.60/10.37 (~node4(s355)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27391, 36, 31570])).
% 14.60/10.37 tff(31572,plain,
% 14.60/10.37 (xuntil6(s355) | (~until5(s355))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27398, 294, 31571])).
% 14.60/10.37 tff(31573,plain,
% 14.60/10.37 (~until5(s355)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31572, 31569])).
% 14.60/10.37 tff(31574,plain,
% 14.60/10.37 (~xuntil6(s354)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27407, 31573])).
% 14.60/10.37 tff(31575,plain,
% 14.60/10.37 (~always3(s354)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27416, 31570])).
% 14.60/10.37 tff(31576,plain,
% 14.60/10.37 (~node4(s354)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27420, 36, 31575])).
% 14.60/10.37 tff(31577,plain,
% 14.60/10.37 (xuntil6(s354) | (~until5(s354))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27427, 294, 31576])).
% 14.60/10.37 tff(31578,plain,
% 14.60/10.37 (~until5(s354)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31577, 31574])).
% 14.60/10.37 tff(31579,plain,
% 14.60/10.37 (~xuntil6(s353)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27436, 31578])).
% 14.60/10.37 tff(31580,plain,
% 14.60/10.37 (~always3(s353)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27445, 31575])).
% 14.60/10.37 tff(31581,plain,
% 14.60/10.37 (~node4(s353)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27449, 36, 31580])).
% 14.60/10.37 tff(31582,plain,
% 14.60/10.37 (xuntil6(s353) | (~until5(s353))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27456, 294, 31581])).
% 14.60/10.37 tff(31583,plain,
% 14.60/10.37 (~until5(s353)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31582, 31579])).
% 14.60/10.37 tff(31584,plain,
% 14.60/10.37 (~xuntil6(s352)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27465, 31583])).
% 14.60/10.37 tff(31585,plain,
% 14.60/10.37 (~always3(s352)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27474, 31580])).
% 14.60/10.37 tff(31586,plain,
% 14.60/10.37 (~node4(s352)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28753, 36, 31585])).
% 14.60/10.37 tff(31587,plain,
% 14.60/10.37 (xuntil6(s352) | (~until5(s352))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28760, 294, 31586])).
% 14.60/10.37 tff(31588,plain,
% 14.60/10.37 (~until5(s352)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31587, 31584])).
% 14.60/10.37 tff(31589,plain,
% 14.60/10.37 (~xuntil6(s351)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28749, 31588])).
% 14.60/10.37 tff(31590,plain,
% 14.60/10.37 (~always3(s351)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27486, 31585])).
% 14.60/10.37 tff(31591,plain,
% 14.60/10.37 (~always3(s350)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27498, 31590])).
% 14.60/10.37 tff(31592,plain,
% 14.60/10.37 (~always3(s349)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27510, 31591])).
% 14.60/10.37 tff(31593,plain,
% 14.60/10.37 (~always3(s348)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27522, 31592])).
% 14.60/10.37 tff(31594,plain,
% 14.60/10.37 (~always3(s347)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27534, 31593])).
% 14.60/10.37 tff(31595,plain,
% 14.60/10.37 (~always3(s346)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27546, 31594])).
% 14.60/10.37 tff(31596,plain,
% 14.60/10.37 (~always3(s345)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27558, 31595])).
% 14.60/10.37 tff(31597,plain,
% 14.60/10.37 (~always3(s344)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27570, 31596])).
% 14.60/10.37 tff(31598,plain,
% 14.60/10.37 (~always3(s343)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27582, 31597])).
% 14.60/10.37 tff(31599,plain,
% 14.60/10.37 (~always3(s342)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27594, 31598])).
% 14.60/10.37 tff(31600,plain,
% 14.60/10.37 (~always3(s341)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27606, 31599])).
% 14.60/10.37 tff(31601,plain,
% 14.60/10.37 (~always3(s340)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27618, 31600])).
% 14.60/10.37 tff(31602,plain,
% 14.60/10.37 (~always3(s339)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27630, 31601])).
% 14.60/10.37 tff(31603,plain,
% 14.60/10.37 (~always3(s338)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27642, 31602])).
% 14.60/10.37 tff(31604,plain,
% 14.60/10.37 (~always3(s337)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27654, 31603])).
% 14.60/10.37 tff(31605,plain,
% 14.60/10.37 (~always3(s336)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27666, 31604])).
% 14.60/10.37 tff(31606,plain,
% 14.60/10.37 (~always3(s335)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27678, 31605])).
% 14.60/10.37 tff(31607,plain,
% 14.60/10.37 (~always3(s334)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27690, 31606])).
% 14.60/10.37 tff(31608,plain,
% 14.60/10.37 (~always3(s333)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27702, 31607])).
% 14.60/10.37 tff(31609,plain,
% 14.60/10.37 (~always3(s332)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27714, 31608])).
% 14.60/10.37 tff(31610,plain,
% 14.60/10.37 (~always3(s331)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27726, 31609])).
% 14.60/10.37 tff(31611,plain,
% 14.60/10.37 (~always3(s330)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27738, 31610])).
% 14.60/10.37 tff(31612,plain,
% 14.60/10.37 (~always3(s329)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27750, 31611])).
% 14.60/10.37 tff(31613,plain,
% 14.60/10.37 (~always3(s328)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27762, 31612])).
% 14.60/10.37 tff(31614,plain,
% 14.60/10.37 (~always3(s327)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27774, 31613])).
% 14.60/10.37 tff(31615,plain,
% 14.60/10.37 (~always3(s326)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27786, 31614])).
% 14.60/10.37 tff(31616,plain,
% 14.60/10.37 (~always3(s325)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27798, 31615])).
% 14.60/10.37 tff(31617,plain,
% 14.60/10.37 (~always3(s324)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27810, 31616])).
% 14.60/10.37 tff(31618,plain,
% 14.60/10.37 (~always3(s323)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27822, 31617])).
% 14.60/10.37 tff(31619,plain,
% 14.60/10.37 (~always3(s322)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27834, 31618])).
% 14.60/10.37 tff(31620,plain,
% 14.60/10.37 (~always3(s321)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27846, 31619])).
% 14.60/10.37 tff(31621,plain,
% 14.60/10.37 (~always3(s320)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27858, 31620])).
% 14.60/10.37 tff(31622,plain,
% 14.60/10.37 (~always3(s319)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27870, 31621])).
% 14.60/10.37 tff(31623,plain,
% 14.60/10.37 (~always3(s318)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27882, 31622])).
% 14.60/10.37 tff(31624,plain,
% 14.60/10.37 (~always3(s317)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27894, 31623])).
% 14.60/10.37 tff(31625,plain,
% 14.60/10.37 (~always3(s316)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27906, 31624])).
% 14.60/10.37 tff(31626,plain,
% 14.60/10.37 (~always3(s315)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27918, 31625])).
% 14.60/10.37 tff(31627,plain,
% 14.60/10.37 (~always3(s314)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27930, 31626])).
% 14.60/10.37 tff(31628,plain,
% 14.60/10.37 (~always3(s313)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27942, 31627])).
% 14.60/10.37 tff(31629,plain,
% 14.60/10.37 (~always3(s312)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27954, 31628])).
% 14.60/10.37 tff(31630,plain,
% 14.60/10.37 (~always3(s311)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27966, 31629])).
% 14.60/10.37 tff(31631,plain,
% 14.60/10.37 (~always3(s310)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27978, 31630])).
% 14.60/10.37 tff(31632,plain,
% 14.60/10.37 (~always3(s309)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27990, 31631])).
% 14.60/10.37 tff(31633,plain,
% 14.60/10.37 (~node4(s309)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[27994, 36, 31632])).
% 14.60/10.37 tff(31634,plain,
% 14.60/10.37 (~always3(s308)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28006, 31632])).
% 14.60/10.37 tff(31635,plain,
% 14.60/10.37 (~node4(s308)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28010, 36, 31634])).
% 14.60/10.37 tff(31636,plain,
% 14.60/10.37 (xuntil6(s308)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28018, 31635])).
% 14.60/10.37 tff(31637,plain,
% 14.60/10.37 (until5(s309)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28023, 31636])).
% 14.60/10.37 tff(31638,plain,
% 14.60/10.37 (xuntil6(s309)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28030, 294, 31637, 31633])).
% 14.60/10.37 tff(31639,plain,
% 14.60/10.37 (until5(s310)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28035, 31638])).
% 14.60/10.37 tff(31640,plain,
% 14.60/10.37 (~node4(s310)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28039, 36, 31631])).
% 14.60/10.37 tff(31641,plain,
% 14.60/10.37 (xuntil6(s310) | (~until5(s310))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28046, 294, 31640])).
% 14.60/10.37 tff(31642,plain,
% 14.60/10.37 (xuntil6(s310)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31641, 31639])).
% 14.60/10.37 tff(31643,plain,
% 14.60/10.37 (until5(s311)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28052, 31642])).
% 14.60/10.37 tff(31644,plain,
% 14.60/10.37 (~node4(s311)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28056, 36, 31630])).
% 14.60/10.37 tff(31645,plain,
% 14.60/10.37 (xuntil6(s311) | (~until5(s311))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28063, 294, 31644])).
% 14.60/10.37 tff(31646,plain,
% 14.60/10.37 (xuntil6(s311)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31645, 31643])).
% 14.60/10.37 tff(31647,plain,
% 14.60/10.37 (until5(s312)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28069, 31646])).
% 14.60/10.37 tff(31648,plain,
% 14.60/10.37 (~node4(s312)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28073, 36, 31629])).
% 14.60/10.37 tff(31649,plain,
% 14.60/10.37 (xuntil6(s312) | (~until5(s312))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28080, 294, 31648])).
% 14.60/10.37 tff(31650,plain,
% 14.60/10.37 (xuntil6(s312)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31649, 31647])).
% 14.60/10.37 tff(31651,plain,
% 14.60/10.37 (until5(s313)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28086, 31650])).
% 14.60/10.37 tff(31652,plain,
% 14.60/10.37 (~node4(s313)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28090, 36, 31628])).
% 14.60/10.37 tff(31653,plain,
% 14.60/10.37 (xuntil6(s313) | (~until5(s313))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28097, 294, 31652])).
% 14.60/10.37 tff(31654,plain,
% 14.60/10.37 (xuntil6(s313)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31653, 31651])).
% 14.60/10.37 tff(31655,plain,
% 14.60/10.37 (until5(s314)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28103, 31654])).
% 14.60/10.37 tff(31656,plain,
% 14.60/10.37 (~node4(s314)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28107, 36, 31627])).
% 14.60/10.37 tff(31657,plain,
% 14.60/10.37 (xuntil6(s314) | (~until5(s314))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28114, 294, 31656])).
% 14.60/10.37 tff(31658,plain,
% 14.60/10.37 (xuntil6(s314)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31657, 31655])).
% 14.60/10.37 tff(31659,plain,
% 14.60/10.37 (until5(s315)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28120, 31658])).
% 14.60/10.37 tff(31660,plain,
% 14.60/10.37 (~node4(s315)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28124, 36, 31626])).
% 14.60/10.37 tff(31661,plain,
% 14.60/10.37 (xuntil6(s315) | (~until5(s315))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28131, 294, 31660])).
% 14.60/10.37 tff(31662,plain,
% 14.60/10.37 (xuntil6(s315)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31661, 31659])).
% 14.60/10.37 tff(31663,plain,
% 14.60/10.37 (until5(s316)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28137, 31662])).
% 14.60/10.37 tff(31664,plain,
% 14.60/10.37 (~node4(s316)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28141, 36, 31625])).
% 14.60/10.37 tff(31665,plain,
% 14.60/10.37 (xuntil6(s316) | (~until5(s316))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28148, 294, 31664])).
% 14.60/10.37 tff(31666,plain,
% 14.60/10.37 (xuntil6(s316)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31665, 31663])).
% 14.60/10.37 tff(31667,plain,
% 14.60/10.37 (until5(s317)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28154, 31666])).
% 14.60/10.37 tff(31668,plain,
% 14.60/10.37 (~node4(s317)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28158, 36, 31624])).
% 14.60/10.37 tff(31669,plain,
% 14.60/10.37 (xuntil6(s317) | (~until5(s317))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28165, 294, 31668])).
% 14.60/10.37 tff(31670,plain,
% 14.60/10.37 (xuntil6(s317)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31669, 31667])).
% 14.60/10.37 tff(31671,plain,
% 14.60/10.37 (until5(s318)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28171, 31670])).
% 14.60/10.37 tff(31672,plain,
% 14.60/10.37 (~node4(s318)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28175, 36, 31623])).
% 14.60/10.37 tff(31673,plain,
% 14.60/10.37 (xuntil6(s318) | (~until5(s318))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28182, 294, 31672])).
% 14.60/10.37 tff(31674,plain,
% 14.60/10.37 (xuntil6(s318)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31673, 31671])).
% 14.60/10.37 tff(31675,plain,
% 14.60/10.37 (until5(s319)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28188, 31674])).
% 14.60/10.37 tff(31676,plain,
% 14.60/10.37 (~node4(s319)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28192, 36, 31622])).
% 14.60/10.37 tff(31677,plain,
% 14.60/10.37 (xuntil6(s319) | (~until5(s319))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28199, 294, 31676])).
% 14.60/10.37 tff(31678,plain,
% 14.60/10.37 (xuntil6(s319)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31677, 31675])).
% 14.60/10.37 tff(31679,plain,
% 14.60/10.37 (until5(s320)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28205, 31678])).
% 14.60/10.37 tff(31680,plain,
% 14.60/10.37 (~node4(s320)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28209, 36, 31621])).
% 14.60/10.37 tff(31681,plain,
% 14.60/10.37 (xuntil6(s320) | (~until5(s320))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28216, 294, 31680])).
% 14.60/10.37 tff(31682,plain,
% 14.60/10.37 (xuntil6(s320)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31681, 31679])).
% 14.60/10.37 tff(31683,plain,
% 14.60/10.37 (until5(s321)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28222, 31682])).
% 14.60/10.37 tff(31684,plain,
% 14.60/10.37 (~node4(s321)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28226, 36, 31620])).
% 14.60/10.37 tff(31685,plain,
% 14.60/10.37 (xuntil6(s321) | (~until5(s321))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28233, 294, 31684])).
% 14.60/10.37 tff(31686,plain,
% 14.60/10.37 (xuntil6(s321)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31685, 31683])).
% 14.60/10.37 tff(31687,plain,
% 14.60/10.37 (until5(s322)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28239, 31686])).
% 14.60/10.37 tff(31688,plain,
% 14.60/10.37 (~node4(s322)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28243, 36, 31619])).
% 14.60/10.37 tff(31689,plain,
% 14.60/10.37 (xuntil6(s322) | (~until5(s322))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28250, 294, 31688])).
% 14.60/10.37 tff(31690,plain,
% 14.60/10.37 (xuntil6(s322)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31689, 31687])).
% 14.60/10.37 tff(31691,plain,
% 14.60/10.37 (until5(s323)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28256, 31690])).
% 14.60/10.37 tff(31692,plain,
% 14.60/10.37 (~node4(s323)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28260, 36, 31618])).
% 14.60/10.37 tff(31693,plain,
% 14.60/10.37 (xuntil6(s323) | (~until5(s323))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28267, 294, 31692])).
% 14.60/10.37 tff(31694,plain,
% 14.60/10.37 (xuntil6(s323)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31693, 31691])).
% 14.60/10.37 tff(31695,plain,
% 14.60/10.37 (until5(s324)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28273, 31694])).
% 14.60/10.37 tff(31696,plain,
% 14.60/10.37 (~node4(s324)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28277, 36, 31617])).
% 14.60/10.37 tff(31697,plain,
% 14.60/10.37 (xuntil6(s324) | (~until5(s324))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28284, 294, 31696])).
% 14.60/10.37 tff(31698,plain,
% 14.60/10.37 (xuntil6(s324)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31697, 31695])).
% 14.60/10.37 tff(31699,plain,
% 14.60/10.37 (until5(s325)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28290, 31698])).
% 14.60/10.37 tff(31700,plain,
% 14.60/10.37 (~node4(s325)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28294, 36, 31616])).
% 14.60/10.37 tff(31701,plain,
% 14.60/10.37 (xuntil6(s325) | (~until5(s325))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28301, 294, 31700])).
% 14.60/10.37 tff(31702,plain,
% 14.60/10.37 (xuntil6(s325)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31701, 31699])).
% 14.60/10.37 tff(31703,plain,
% 14.60/10.37 (until5(s326)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28307, 31702])).
% 14.60/10.37 tff(31704,plain,
% 14.60/10.37 (~node4(s326)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28311, 36, 31615])).
% 14.60/10.37 tff(31705,plain,
% 14.60/10.37 (xuntil6(s326) | (~until5(s326))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28318, 294, 31704])).
% 14.60/10.37 tff(31706,plain,
% 14.60/10.37 (xuntil6(s326)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31705, 31703])).
% 14.60/10.37 tff(31707,plain,
% 14.60/10.37 (until5(s327)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28324, 31706])).
% 14.60/10.37 tff(31708,plain,
% 14.60/10.37 (~node4(s327)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28328, 36, 31614])).
% 14.60/10.37 tff(31709,plain,
% 14.60/10.37 (xuntil6(s327) | (~until5(s327))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28335, 294, 31708])).
% 14.60/10.37 tff(31710,plain,
% 14.60/10.37 (xuntil6(s327)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31709, 31707])).
% 14.60/10.37 tff(31711,plain,
% 14.60/10.37 (until5(s328)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28341, 31710])).
% 14.60/10.37 tff(31712,plain,
% 14.60/10.37 (~node4(s328)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28345, 36, 31613])).
% 14.60/10.37 tff(31713,plain,
% 14.60/10.37 (xuntil6(s328) | (~until5(s328))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28352, 294, 31712])).
% 14.60/10.37 tff(31714,plain,
% 14.60/10.37 (xuntil6(s328)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31713, 31711])).
% 14.60/10.37 tff(31715,plain,
% 14.60/10.37 (until5(s329)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28358, 31714])).
% 14.60/10.37 tff(31716,plain,
% 14.60/10.37 (~node4(s329)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28362, 36, 31612])).
% 14.60/10.37 tff(31717,plain,
% 14.60/10.37 (xuntil6(s329) | (~until5(s329))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28369, 294, 31716])).
% 14.60/10.37 tff(31718,plain,
% 14.60/10.37 (xuntil6(s329)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31717, 31715])).
% 14.60/10.37 tff(31719,plain,
% 14.60/10.37 (until5(s330)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28375, 31718])).
% 14.60/10.37 tff(31720,plain,
% 14.60/10.37 (~node4(s330)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28379, 36, 31611])).
% 14.60/10.37 tff(31721,plain,
% 14.60/10.37 (xuntil6(s330) | (~until5(s330))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28386, 294, 31720])).
% 14.60/10.37 tff(31722,plain,
% 14.60/10.37 (xuntil6(s330)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31721, 31719])).
% 14.60/10.37 tff(31723,plain,
% 14.60/10.37 (until5(s331)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28392, 31722])).
% 14.60/10.37 tff(31724,plain,
% 14.60/10.37 (~node4(s331)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28396, 36, 31610])).
% 14.60/10.37 tff(31725,plain,
% 14.60/10.37 (xuntil6(s331) | (~until5(s331))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28403, 294, 31724])).
% 14.60/10.37 tff(31726,plain,
% 14.60/10.37 (xuntil6(s331)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31725, 31723])).
% 14.60/10.37 tff(31727,plain,
% 14.60/10.37 (until5(s332)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28409, 31726])).
% 14.60/10.37 tff(31728,plain,
% 14.60/10.37 (~node4(s332)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28413, 36, 31609])).
% 14.60/10.37 tff(31729,plain,
% 14.60/10.37 (xuntil6(s332) | (~until5(s332))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28420, 294, 31728])).
% 14.60/10.37 tff(31730,plain,
% 14.60/10.37 (xuntil6(s332)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31729, 31727])).
% 14.60/10.37 tff(31731,plain,
% 14.60/10.37 (until5(s333)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28426, 31730])).
% 14.60/10.37 tff(31732,plain,
% 14.60/10.37 (~node4(s333)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28430, 36, 31608])).
% 14.60/10.37 tff(31733,plain,
% 14.60/10.37 (xuntil6(s333) | (~until5(s333))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28437, 294, 31732])).
% 14.60/10.37 tff(31734,plain,
% 14.60/10.37 (xuntil6(s333)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31733, 31731])).
% 14.60/10.37 tff(31735,plain,
% 14.60/10.37 (until5(s334)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28443, 31734])).
% 14.60/10.37 tff(31736,plain,
% 14.60/10.37 (~node4(s334)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28447, 36, 31607])).
% 14.60/10.37 tff(31737,plain,
% 14.60/10.37 (xuntil6(s334) | (~until5(s334))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28454, 294, 31736])).
% 14.60/10.37 tff(31738,plain,
% 14.60/10.37 (xuntil6(s334)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31737, 31735])).
% 14.60/10.37 tff(31739,plain,
% 14.60/10.37 (until5(s335)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28460, 31738])).
% 14.60/10.37 tff(31740,plain,
% 14.60/10.37 (~node4(s335)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28464, 36, 31606])).
% 14.60/10.37 tff(31741,plain,
% 14.60/10.37 (xuntil6(s335) | (~until5(s335))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28471, 294, 31740])).
% 14.60/10.37 tff(31742,plain,
% 14.60/10.37 (xuntil6(s335)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31741, 31739])).
% 14.60/10.37 tff(31743,plain,
% 14.60/10.37 (until5(s336)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28477, 31742])).
% 14.60/10.37 tff(31744,plain,
% 14.60/10.37 (~node4(s336)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28481, 36, 31605])).
% 14.60/10.37 tff(31745,plain,
% 14.60/10.37 (xuntil6(s336) | (~until5(s336))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28488, 294, 31744])).
% 14.60/10.37 tff(31746,plain,
% 14.60/10.37 (xuntil6(s336)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31745, 31743])).
% 14.60/10.37 tff(31747,plain,
% 14.60/10.37 (until5(s337)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28494, 31746])).
% 14.60/10.37 tff(31748,plain,
% 14.60/10.37 (~node4(s337)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28498, 36, 31604])).
% 14.60/10.37 tff(31749,plain,
% 14.60/10.37 (xuntil6(s337) | (~until5(s337))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28505, 294, 31748])).
% 14.60/10.37 tff(31750,plain,
% 14.60/10.37 (xuntil6(s337)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31749, 31747])).
% 14.60/10.37 tff(31751,plain,
% 14.60/10.37 (until5(s338)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28511, 31750])).
% 14.60/10.37 tff(31752,plain,
% 14.60/10.37 (~node4(s338)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28515, 36, 31603])).
% 14.60/10.37 tff(31753,plain,
% 14.60/10.37 (xuntil6(s338) | (~until5(s338))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28522, 294, 31752])).
% 14.60/10.37 tff(31754,plain,
% 14.60/10.37 (xuntil6(s338)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31753, 31751])).
% 14.60/10.37 tff(31755,plain,
% 14.60/10.37 (until5(s339)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28528, 31754])).
% 14.60/10.37 tff(31756,plain,
% 14.60/10.37 (~node4(s339)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28532, 36, 31602])).
% 14.60/10.37 tff(31757,plain,
% 14.60/10.37 (xuntil6(s339) | (~until5(s339))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28539, 294, 31756])).
% 14.60/10.37 tff(31758,plain,
% 14.60/10.37 (xuntil6(s339)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31757, 31755])).
% 14.60/10.37 tff(31759,plain,
% 14.60/10.37 (until5(s340)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28545, 31758])).
% 14.60/10.37 tff(31760,plain,
% 14.60/10.37 (~node4(s340)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28549, 36, 31601])).
% 14.60/10.37 tff(31761,plain,
% 14.60/10.37 (xuntil6(s340) | (~until5(s340))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28556, 294, 31760])).
% 14.60/10.37 tff(31762,plain,
% 14.60/10.37 (xuntil6(s340)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31761, 31759])).
% 14.60/10.37 tff(31763,plain,
% 14.60/10.37 (until5(s341)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28562, 31762])).
% 14.60/10.37 tff(31764,plain,
% 14.60/10.37 (~node4(s341)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28566, 36, 31600])).
% 14.60/10.37 tff(31765,plain,
% 14.60/10.37 (xuntil6(s341) | (~until5(s341))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28573, 294, 31764])).
% 14.60/10.37 tff(31766,plain,
% 14.60/10.37 (xuntil6(s341)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31765, 31763])).
% 14.60/10.37 tff(31767,plain,
% 14.60/10.37 (until5(s342)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28579, 31766])).
% 14.60/10.37 tff(31768,plain,
% 14.60/10.37 (~node4(s342)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28583, 36, 31599])).
% 14.60/10.37 tff(31769,plain,
% 14.60/10.37 (xuntil6(s342) | (~until5(s342))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28590, 294, 31768])).
% 14.60/10.37 tff(31770,plain,
% 14.60/10.37 (xuntil6(s342)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31769, 31767])).
% 14.60/10.37 tff(31771,plain,
% 14.60/10.37 (until5(s343)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28596, 31770])).
% 14.60/10.37 tff(31772,plain,
% 14.60/10.37 (~node4(s343)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28600, 36, 31598])).
% 14.60/10.37 tff(31773,plain,
% 14.60/10.37 (xuntil6(s343) | (~until5(s343))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28607, 294, 31772])).
% 14.60/10.37 tff(31774,plain,
% 14.60/10.37 (xuntil6(s343)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31773, 31771])).
% 14.60/10.37 tff(31775,plain,
% 14.60/10.37 (until5(s344)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28613, 31774])).
% 14.60/10.37 tff(31776,plain,
% 14.60/10.37 (~node4(s344)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28617, 36, 31597])).
% 14.60/10.37 tff(31777,plain,
% 14.60/10.37 (xuntil6(s344) | (~until5(s344))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28624, 294, 31776])).
% 14.60/10.37 tff(31778,plain,
% 14.60/10.37 (xuntil6(s344)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31777, 31775])).
% 14.60/10.37 tff(31779,plain,
% 14.60/10.37 (until5(s345)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28630, 31778])).
% 14.60/10.37 tff(31780,plain,
% 14.60/10.37 (~node4(s345)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28634, 36, 31596])).
% 14.60/10.37 tff(31781,plain,
% 14.60/10.37 (xuntil6(s345) | (~until5(s345))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28641, 294, 31780])).
% 14.60/10.37 tff(31782,plain,
% 14.60/10.37 (xuntil6(s345)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31781, 31779])).
% 14.60/10.37 tff(31783,plain,
% 14.60/10.37 (until5(s346)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28647, 31782])).
% 14.60/10.37 tff(31784,plain,
% 14.60/10.37 (~node4(s346)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28651, 36, 31595])).
% 14.60/10.37 tff(31785,plain,
% 14.60/10.37 (xuntil6(s346) | (~until5(s346))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28658, 294, 31784])).
% 14.60/10.37 tff(31786,plain,
% 14.60/10.37 (xuntil6(s346)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31785, 31783])).
% 14.60/10.37 tff(31787,plain,
% 14.60/10.37 (until5(s347)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28664, 31786])).
% 14.60/10.37 tff(31788,plain,
% 14.60/10.37 (~node4(s347)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28668, 36, 31594])).
% 14.60/10.37 tff(31789,plain,
% 14.60/10.37 (xuntil6(s347) | (~until5(s347))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28675, 294, 31788])).
% 14.60/10.37 tff(31790,plain,
% 14.60/10.37 (xuntil6(s347)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31789, 31787])).
% 14.60/10.37 tff(31791,plain,
% 14.60/10.37 (until5(s348)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28681, 31790])).
% 14.60/10.37 tff(31792,plain,
% 14.60/10.37 (~node4(s348)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28685, 36, 31593])).
% 14.60/10.37 tff(31793,plain,
% 14.60/10.37 (xuntil6(s348) | (~until5(s348))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28692, 294, 31792])).
% 14.60/10.37 tff(31794,plain,
% 14.60/10.37 (xuntil6(s348)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31793, 31791])).
% 14.60/10.37 tff(31795,plain,
% 14.60/10.37 (until5(s349)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28698, 31794])).
% 14.60/10.37 tff(31796,plain,
% 14.60/10.37 (~node4(s349)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28702, 36, 31592])).
% 14.60/10.37 tff(31797,plain,
% 14.60/10.37 (xuntil6(s349) | (~until5(s349))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28709, 294, 31796])).
% 14.60/10.37 tff(31798,plain,
% 14.60/10.37 (xuntil6(s349)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31797, 31795])).
% 14.60/10.37 tff(31799,plain,
% 14.60/10.37 (until5(s350)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28715, 31798])).
% 14.60/10.37 tff(31800,plain,
% 14.60/10.37 (~node4(s350)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28719, 36, 31591])).
% 14.60/10.37 tff(31801,plain,
% 14.60/10.37 (xuntil6(s350) | (~until5(s350))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28726, 294, 31800])).
% 14.60/10.37 tff(31802,plain,
% 14.60/10.37 (xuntil6(s350)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31801, 31799])).
% 14.60/10.37 tff(31803,plain,
% 14.60/10.37 (until5(s351)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28732, 31802])).
% 14.60/10.37 tff(31804,plain,
% 14.60/10.37 (~node4(s351)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28736, 36, 31590])).
% 14.60/10.37 tff(31805,plain,
% 14.60/10.37 (xuntil6(s351) | (~until5(s351))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[28743, 294, 31804])).
% 14.60/10.37 tff(31806,plain,
% 14.60/10.37 ($false),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31805, 31803, 31589])).
% 14.60/10.37 tff(31807,plain,(always3(s394) | (~until5(s308)) | xuntil6(s394)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.37 tff(31808,plain,
% 14.60/10.37 (always3(s394)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31807, 28815, 26199])).
% 14.60/10.37 tff(31809,plain,
% 14.60/10.37 (always3(s395)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26256, 31808])).
% 14.60/10.37 tff(31810,plain,
% 14.60/10.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s395)) | (~m_main_v_state(s395, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s395)) | (~m_main_v_state(s395, c_busy)))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31811,plain,
% 14.60/10.37 (((~m_main_v_state(s395, c_busy)) | (~always3(s395))) <=> ((~always3(s395)) | (~m_main_v_state(s395, c_busy)))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31812,plain,
% 14.60/10.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s395, c_busy)) | (~always3(s395)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s395)) | (~m_main_v_state(s395, c_busy))))),
% 14.60/10.37 inference(monotonicity,[status(thm)],[31811])).
% 14.60/10.37 tff(31813,plain,
% 14.60/10.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s395, c_busy)) | (~always3(s395)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s395)) | (~m_main_v_state(s395, c_busy)))),
% 14.60/10.37 inference(transitivity,[status(thm)],[31812, 31810])).
% 14.60/10.37 tff(31814,plain,
% 14.60/10.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s395, c_busy)) | (~always3(s395)))),
% 14.60/10.37 inference(quant_inst,[status(thm)],[])).
% 14.60/10.37 tff(31815,plain,
% 14.60/10.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s395)) | (~m_main_v_state(s395, c_busy))),
% 14.60/10.37 inference(modus_ponens,[status(thm)],[31814, 31813])).
% 14.60/10.37 tff(31816,plain,
% 14.60/10.37 (~m_main_v_state(s395, c_busy)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31815, 85, 31809])).
% 14.60/10.37 tff(31817,assumption,(until5(s394)), introduced(assumption)).
% 14.60/10.37 tff(31818,plain,
% 14.60/10.37 (xuntil6(s394) | node4(s394)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[26267, 294, 31817])).
% 14.60/10.37 tff(31819,plain,
% 14.60/10.37 (node4(s394)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31818, 28815])).
% 14.60/10.37 tff(31820,plain,
% 14.60/10.37 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s394) | (~node4(s394)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s394) | (~node4(s394)))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31821,plain,
% 14.60/10.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s394) | (~node4(s394)))),
% 14.60/10.37 inference(quant_inst,[status(thm)],[])).
% 14.60/10.37 tff(31822,plain,
% 14.60/10.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s394) | (~node4(s394))),
% 14.60/10.37 inference(modus_ponens,[status(thm)],[31821, 31820])).
% 14.60/10.37 tff(31823,plain,
% 14.60/10.37 (m_main_v_request(s394)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31822, 21, 31819])).
% 14.60/10.37 tff(31824,plain,
% 14.60/10.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s394, s395)) | node2(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s394, s395)) | node2(s394, s395))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31825,plain,
% 14.60/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s394, s395)) | node2(s394, s395))),
% 14.60/10.37 inference(quant_inst,[status(thm)],[])).
% 14.60/10.37 tff(31826,plain,
% 14.60/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s394, s395)) | node2(s394, s395)),
% 14.60/10.37 inference(modus_ponens,[status(thm)],[31825, 31824])).
% 14.60/10.37 tff(31827,plain,
% 14.60/10.37 (node2(s394, s395)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31826, 7, 26252])).
% 14.60/10.37 tff(31828,plain,
% 14.60/10.37 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s394, c_ready)) | (~node2(s394, s395)) | m_main_v_state(s395, c_busy) | (~m_main_v_request(s394)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s394, c_ready)) | (~node2(s394, s395)) | m_main_v_state(s395, c_busy) | (~m_main_v_request(s394)))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31829,plain,
% 14.60/10.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s394, c_ready)) | (~node2(s394, s395)) | m_main_v_state(s395, c_busy) | (~m_main_v_request(s394)))),
% 14.60/10.37 inference(quant_inst,[status(thm)],[])).
% 14.60/10.37 tff(31830,plain,
% 14.60/10.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s394, c_ready)) | (~node2(s394, s395)) | m_main_v_state(s395, c_busy) | (~m_main_v_request(s394))),
% 14.60/10.37 inference(modus_ponens,[status(thm)],[31829, 31828])).
% 14.60/10.37 tff(31831,plain,
% 14.60/10.37 ((~m_main_v_state(s394, c_ready)) | m_main_v_state(s395, c_busy) | (~m_main_v_request(s394))),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31830, 73, 31827])).
% 14.60/10.37 tff(31832,plain,
% 14.60/10.37 (~m_main_v_state(s394, c_ready)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31831, 31823, 31816])).
% 14.60/10.37 tff(31833,plain,
% 14.60/10.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s393, s394)) | node2(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s393, s394)) | node2(s393, s394))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31834,plain,
% 14.60/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s393, s394)) | node2(s393, s394))),
% 14.60/10.37 inference(quant_inst,[status(thm)],[])).
% 14.60/10.37 tff(31835,plain,
% 14.60/10.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s393, s394)) | node2(s393, s394)),
% 14.60/10.37 inference(modus_ponens,[status(thm)],[31834, 31833])).
% 14.60/10.37 tff(31836,plain,
% 14.60/10.37 (node2(s393, s394)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31835, 7, 26281])).
% 14.60/10.37 tff(31837,plain,
% 14.60/10.37 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s393, s394)) | m_main_v_state(s394, c_busy) | node1(s393) | m_main_v_state(s394, 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(s393, s394)) | m_main_v_state(s394, c_busy) | node1(s393) | m_main_v_state(s394, c_ready))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31838,plain,
% 14.60/10.37 ((node1(s393) | m_main_v_state(s394, c_ready) | (~node2(s393, s394)) | m_main_v_state(s394, c_busy)) <=> ((~node2(s393, s394)) | m_main_v_state(s394, c_busy) | node1(s393) | m_main_v_state(s394, c_ready))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31839,plain,
% 14.60/10.37 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s393) | m_main_v_state(s394, c_ready) | (~node2(s393, s394)) | m_main_v_state(s394, 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(s393, s394)) | m_main_v_state(s394, c_busy) | node1(s393) | m_main_v_state(s394, c_ready)))),
% 14.60/10.37 inference(monotonicity,[status(thm)],[31838])).
% 14.60/10.37 tff(31840,plain,
% 14.60/10.37 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s393) | m_main_v_state(s394, c_ready) | (~node2(s393, s394)) | m_main_v_state(s394, 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(s393, s394)) | m_main_v_state(s394, c_busy) | node1(s393) | m_main_v_state(s394, c_ready))),
% 14.60/10.37 inference(transitivity,[status(thm)],[31839, 31837])).
% 14.60/10.37 tff(31841,plain,
% 14.60/10.37 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s393) | m_main_v_state(s394, c_ready) | (~node2(s393, s394)) | m_main_v_state(s394, c_busy))),
% 14.60/10.37 inference(quant_inst,[status(thm)],[])).
% 14.60/10.37 tff(31842,plain,
% 14.60/10.37 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s393, s394)) | m_main_v_state(s394, c_busy) | node1(s393) | m_main_v_state(s394, c_ready)),
% 14.60/10.37 inference(modus_ponens,[status(thm)],[31841, 31840])).
% 14.60/10.37 tff(31843,plain,
% 14.60/10.37 (m_main_v_state(s394, c_busy) | node1(s393) | m_main_v_state(s394, c_ready)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31842, 3551, 31836])).
% 14.60/10.37 tff(31844,plain,
% 14.60/10.37 (m_main_v_state(s394, c_busy)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31843, 31832, 31375])).
% 14.60/10.37 tff(31845,plain,
% 14.60/10.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s394)) | (~m_main_v_state(s394, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s394)) | (~m_main_v_state(s394, c_busy)))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31846,plain,
% 14.60/10.37 (((~m_main_v_state(s394, c_busy)) | (~always3(s394))) <=> ((~always3(s394)) | (~m_main_v_state(s394, c_busy)))),
% 14.60/10.37 inference(rewrite,[status(thm)],[])).
% 14.60/10.37 tff(31847,plain,
% 14.60/10.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s394, c_busy)) | (~always3(s394)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s394)) | (~m_main_v_state(s394, c_busy))))),
% 14.60/10.37 inference(monotonicity,[status(thm)],[31846])).
% 14.60/10.37 tff(31848,plain,
% 14.60/10.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s394, c_busy)) | (~always3(s394)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s394)) | (~m_main_v_state(s394, c_busy)))),
% 14.60/10.37 inference(transitivity,[status(thm)],[31847, 31845])).
% 14.60/10.37 tff(31849,plain,
% 14.60/10.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s394, c_busy)) | (~always3(s394)))),
% 14.60/10.37 inference(quant_inst,[status(thm)],[])).
% 14.60/10.37 tff(31850,plain,
% 14.60/10.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s394)) | (~m_main_v_state(s394, c_busy))),
% 14.60/10.37 inference(modus_ponens,[status(thm)],[31849, 31848])).
% 14.60/10.37 tff(31851,plain,
% 14.60/10.37 ($false),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31850, 85, 31808, 31844])).
% 14.60/10.37 tff(31852,plain,(xuntil6(s394) | node1(s393) | (~until5(s394)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.37 tff(31853,plain,
% 14.60/10.37 (node1(s393)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31852, 31374, 28815, 28877])).
% 14.60/10.37 tff(31854,assumption,(m_main_v_state(s393, c_ready)), introduced(assumption)).
% 14.60/10.37 tff(31855,assumption,(~m_main_v_state(s394, c_ready)), introduced(assumption)).
% 14.60/10.37 tff(31856,assumption,(~m_main_v_state(s394, c_busy)), introduced(assumption)).
% 14.60/10.37 tff(31857,plain,
% 14.60/10.37 (node1(s393)),
% 14.60/10.37 inference(unit_resolution,[status(thm)],[31843, 31856, 31855])).
% 14.60/10.37 tff(31858,plain,
% 14.60/10.37 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s393, c_ready)) | (~node2(s393, s394)) | m_main_v_state(s394, c_busy) | (~m_main_v_request(s393)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s393, c_ready)) | (~node2(s393, s394)) | m_main_v_state(s394, c_busy) | (~m_main_v_request(s393)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31859,plain,
% 14.60/10.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s393, c_ready)) | (~node2(s393, s394)) | m_main_v_state(s394, c_busy) | (~m_main_v_request(s393)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31860,plain,
% 14.60/10.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s393, c_ready)) | (~node2(s393, s394)) | m_main_v_state(s394, c_busy) | (~m_main_v_request(s393))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 14.60/10.38 tff(31861,plain,
% 14.60/10.38 ((~m_main_v_state(s393, c_ready)) | m_main_v_state(s394, c_busy) | (~m_main_v_request(s393))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31860, 73, 31836])).
% 14.60/10.38 tff(31862,plain,
% 14.60/10.38 (~m_main_v_request(s393)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31861, 31856, 31854])).
% 14.60/10.38 tff(31863,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s393) | (~node1(s393)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s393) | (~node1(s393)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31864,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s393) | (~node1(s393)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31865,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s393) | (~node1(s393))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31864, 31863])).
% 14.60/10.38 tff(31866,plain,
% 14.60/10.38 ($false),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31865, 3568, 31862, 31857])).
% 14.60/10.38 tff(31867,plain,(m_main_v_state(s394, c_busy) | (~m_main_v_state(s393, c_ready)) | m_main_v_state(s394, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.38 tff(31868,plain,
% 14.60/10.38 (m_main_v_state(s394, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31867, 31832, 31854])).
% 14.60/10.38 tff(31869,plain,
% 14.60/10.38 ($false),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31850, 85, 31808, 31868])).
% 14.60/10.38 tff(31870,plain,(xuntil6(s394) | (~m_main_v_state(s393, c_ready)) | (~until5(s394)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.60/10.38 tff(31871,plain,
% 14.60/10.38 (~m_main_v_state(s393, c_ready)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31870, 31374, 28815, 28877])).
% 14.60/10.38 tff(31872,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s393, c_ready) | (~node1(s393)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s393, c_ready) | (~node1(s393)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31873,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s393, c_ready) | (~node1(s393)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31874,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s393, c_ready) | (~node1(s393))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31873, 31872])).
% 14.60/10.38 tff(31875,plain,
% 14.60/10.38 ($false),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31874, 3581, 31871, 31853])).
% 14.60/10.38 tff(31876,plain,(always3(s366) | xuntil6(s394) | node4(s393)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.38 tff(31877,plain,
% 14.60/10.38 (node4(s393)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31876, 28816, 28815])).
% 14.60/10.38 tff(31878,assumption,(node4(s393)), introduced(assumption)).
% 14.60/10.38 tff(31879,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s393) | (~node4(s393)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s393) | (~node4(s393)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31880,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s393) | (~node4(s393)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31881,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s393) | (~node4(s393))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31880, 31879])).
% 14.60/10.38 tff(31882,plain,
% 14.60/10.38 (m_main_v_request(s393)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31881, 21, 31878])).
% 14.60/10.38 tff(31883,plain,
% 14.60/10.38 (~m_main_v_state(s393, c_ready)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31861, 31882, 31856])).
% 14.60/10.38 tff(31884,plain,
% 14.60/10.38 (always3(s393)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26289, 36, 31878])).
% 14.60/10.38 tff(31885,plain,
% 14.60/10.38 (~m_main_v_state(s393, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31234, 85, 31884])).
% 14.60/10.38 tff(31886,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s393, c_busy) | m_main_v_state(s393, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s393, c_busy) | m_main_v_state(s393, c_ready))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31887,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s393, c_busy) | m_main_v_state(s393, c_ready))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31888,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s393, c_busy) | m_main_v_state(s393, c_ready)),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31887, 31886])).
% 14.60/10.38 tff(31889,plain,
% 14.60/10.38 ($false),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31888, 102, 31885, 31883])).
% 14.60/10.38 tff(31890,plain,((~node4(s393)) | m_main_v_state(s394, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.38 tff(31891,plain,
% 14.60/10.38 (m_main_v_state(s394, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31890, 31877])).
% 14.60/10.38 tff(31892,plain,
% 14.60/10.38 (always3(s394)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31807, 28877, 28815])).
% 14.60/10.38 tff(31893,plain,
% 14.60/10.38 ($false),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31850, 85, 31892, 31891])).
% 14.60/10.38 tff(31894,plain,(always3(s366) | xuntil6(s394)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.38 tff(31895,plain,
% 14.60/10.38 (always3(s366)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31894, 28815])).
% 14.60/10.38 tff(31896,plain,
% 14.60/10.38 (always3(s367)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27068, 31895])).
% 14.60/10.38 tff(31897,plain,
% 14.60/10.38 (always3(s368)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27039, 31896])).
% 14.60/10.38 tff(31898,plain,
% 14.60/10.38 (always3(s369)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27010, 31897])).
% 14.60/10.38 tff(31899,plain,
% 14.60/10.38 (always3(s370)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26981, 31898])).
% 14.60/10.38 tff(31900,plain,
% 14.60/10.38 (always3(s371)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26952, 31899])).
% 14.60/10.38 tff(31901,plain,
% 14.60/10.38 (always3(s372)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26923, 31900])).
% 14.60/10.38 tff(31902,plain,
% 14.60/10.38 (always3(s373)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26894, 31901])).
% 14.60/10.38 tff(31903,plain,
% 14.60/10.38 (always3(s374)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26865, 31902])).
% 14.60/10.38 tff(31904,plain,
% 14.60/10.38 (always3(s375)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26836, 31903])).
% 14.60/10.38 tff(31905,plain,
% 14.60/10.38 (always3(s376)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26807, 31904])).
% 14.60/10.38 tff(31906,plain,
% 14.60/10.38 (always3(s377)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26778, 31905])).
% 14.60/10.38 tff(31907,plain,
% 14.60/10.38 (always3(s378)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26749, 31906])).
% 14.60/10.38 tff(31908,plain,
% 14.60/10.38 (always3(s379)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26720, 31907])).
% 14.60/10.38 tff(31909,plain,
% 14.60/10.38 (always3(s380)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26691, 31908])).
% 14.60/10.38 tff(31910,plain,
% 14.60/10.38 (always3(s381)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26662, 31909])).
% 14.60/10.38 tff(31911,plain,
% 14.60/10.38 (always3(s382)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26633, 31910])).
% 14.60/10.38 tff(31912,plain,
% 14.60/10.38 (always3(s383)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26604, 31911])).
% 14.60/10.38 tff(31913,plain,
% 14.60/10.38 (always3(s384)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26575, 31912])).
% 14.60/10.38 tff(31914,plain,
% 14.60/10.38 (always3(s385)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26546, 31913])).
% 14.60/10.38 tff(31915,plain,
% 14.60/10.38 (always3(s386)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26517, 31914])).
% 14.60/10.38 tff(31916,plain,
% 14.60/10.38 (always3(s387)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26488, 31915])).
% 14.60/10.38 tff(31917,plain,
% 14.60/10.38 (always3(s388)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26459, 31916])).
% 14.60/10.38 tff(31918,plain,
% 14.60/10.38 (always3(s389)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26430, 31917])).
% 14.60/10.38 tff(31919,plain,
% 14.60/10.38 (always3(s390)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26401, 31918])).
% 14.60/10.38 tff(31920,plain,
% 14.60/10.38 (always3(s391)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26372, 31919])).
% 14.60/10.38 tff(31921,plain,
% 14.60/10.38 (always3(s392)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26343, 31920])).
% 14.60/10.38 tff(31922,plain,
% 14.60/10.38 (~m_main_v_state(s392, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31257, 85, 31921])).
% 14.60/10.38 tff(31923,plain,
% 14.60/10.38 (~m_main_v_state(s391, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31288, 85, 31920])).
% 14.60/10.38 tff(31924,plain,
% 14.60/10.38 (~m_main_v_state(s390, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31325, 85, 31919])).
% 14.60/10.38 tff(31925,assumption,(~m_main_v_state(s390, c_busy)), introduced(assumption)).
% 14.60/10.38 tff(31926,assumption,(~m_main_v_state(s390, c_ready)), introduced(assumption)).
% 14.60/10.38 tff(31927,plain,
% 14.60/10.38 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s389, s390)) | m_main_v_state(s390, c_busy) | node1(s389) | m_main_v_state(s390, 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(s389, s390)) | m_main_v_state(s390, c_busy) | node1(s389) | m_main_v_state(s390, c_ready))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31928,plain,
% 14.60/10.38 ((node1(s389) | m_main_v_state(s390, c_ready) | (~node2(s389, s390)) | m_main_v_state(s390, c_busy)) <=> ((~node2(s389, s390)) | m_main_v_state(s390, c_busy) | node1(s389) | m_main_v_state(s390, c_ready))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31929,plain,
% 14.60/10.38 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s389) | m_main_v_state(s390, c_ready) | (~node2(s389, s390)) | m_main_v_state(s390, 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(s389, s390)) | m_main_v_state(s390, c_busy) | node1(s389) | m_main_v_state(s390, c_ready)))),
% 14.60/10.38 inference(monotonicity,[status(thm)],[31928])).
% 14.60/10.38 tff(31930,plain,
% 14.60/10.38 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s389) | m_main_v_state(s390, c_ready) | (~node2(s389, s390)) | m_main_v_state(s390, 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(s389, s390)) | m_main_v_state(s390, c_busy) | node1(s389) | m_main_v_state(s390, c_ready))),
% 14.60/10.38 inference(transitivity,[status(thm)],[31929, 31927])).
% 14.60/10.38 tff(31931,plain,
% 14.60/10.38 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s389) | m_main_v_state(s390, c_ready) | (~node2(s389, s390)) | m_main_v_state(s390, c_busy))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31932,plain,
% 14.60/10.38 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s389, s390)) | m_main_v_state(s390, c_busy) | node1(s389) | m_main_v_state(s390, c_ready)),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31931, 31930])).
% 14.60/10.38 tff(31933,plain,
% 14.60/10.38 (m_main_v_state(s390, c_busy) | node1(s389) | m_main_v_state(s390, c_ready)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31932, 3551, 31355])).
% 14.60/10.38 tff(31934,plain,
% 14.60/10.38 (node1(s389)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31933, 31925, 31926])).
% 14.60/10.38 tff(31935,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s389, c_ready) | (~node1(s389)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s389, c_ready) | (~node1(s389)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31936,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s389, c_ready) | (~node1(s389)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31937,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s389, c_ready) | (~node1(s389))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31936, 31935])).
% 14.60/10.38 tff(31938,plain,
% 14.60/10.38 (m_main_v_state(s389, c_ready)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31937, 3581, 31934])).
% 14.60/10.38 tff(31939,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s389) | (~node1(s389)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s389) | (~node1(s389)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31940,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s389) | (~node1(s389)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31941,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s389) | (~node1(s389))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31940, 31939])).
% 14.60/10.38 tff(31942,plain,
% 14.60/10.38 (m_main_v_request(s389)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31941, 3568, 31934])).
% 14.60/10.38 tff(31943,plain,
% 14.60/10.38 ($false),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31359, 31942, 31938, 31925])).
% 14.60/10.38 tff(31944,plain,(m_main_v_state(s390, c_busy) | m_main_v_state(s390, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.38 tff(31945,plain,
% 14.60/10.38 (m_main_v_state(s390, c_ready)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31944, 31924])).
% 14.60/10.38 tff(31946,assumption,(~m_main_v_state(s391, c_ready)), introduced(assumption)).
% 14.60/10.38 tff(31947,assumption,(~m_main_v_state(s391, c_busy)), introduced(assumption)).
% 14.60/10.38 tff(31948,plain,
% 14.60/10.38 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s390, s391)) | m_main_v_state(s391, c_busy) | node1(s390) | m_main_v_state(s391, 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(s390, s391)) | m_main_v_state(s391, c_busy) | node1(s390) | m_main_v_state(s391, c_ready))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31949,plain,
% 14.60/10.38 ((node1(s390) | m_main_v_state(s391, c_ready) | (~node2(s390, s391)) | m_main_v_state(s391, c_busy)) <=> ((~node2(s390, s391)) | m_main_v_state(s391, c_busy) | node1(s390) | m_main_v_state(s391, c_ready))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31950,plain,
% 14.60/10.38 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s390) | m_main_v_state(s391, c_ready) | (~node2(s390, s391)) | m_main_v_state(s391, 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(s390, s391)) | m_main_v_state(s391, c_busy) | node1(s390) | m_main_v_state(s391, c_ready)))),
% 14.60/10.38 inference(monotonicity,[status(thm)],[31949])).
% 14.60/10.38 tff(31951,plain,
% 14.60/10.38 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s390) | m_main_v_state(s391, c_ready) | (~node2(s390, s391)) | m_main_v_state(s391, 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(s390, s391)) | m_main_v_state(s391, c_busy) | node1(s390) | m_main_v_state(s391, c_ready))),
% 14.60/10.38 inference(transitivity,[status(thm)],[31950, 31948])).
% 14.60/10.38 tff(31952,plain,
% 14.60/10.38 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s390) | m_main_v_state(s391, c_ready) | (~node2(s390, s391)) | m_main_v_state(s391, c_busy))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31953,plain,
% 14.60/10.38 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s390, s391)) | m_main_v_state(s391, c_busy) | node1(s390) | m_main_v_state(s391, c_ready)),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31952, 31951])).
% 14.60/10.38 tff(31954,plain,
% 14.60/10.38 (m_main_v_state(s391, c_busy) | node1(s390) | m_main_v_state(s391, c_ready)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31953, 3551, 31334])).
% 14.60/10.38 tff(31955,plain,
% 14.60/10.38 (node1(s390)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31954, 31947, 31946])).
% 14.60/10.38 tff(31956,assumption,(m_main_v_state(s390, c_ready)), introduced(assumption)).
% 14.60/10.38 tff(31957,plain,
% 14.60/10.38 (~m_main_v_request(s390)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31338, 31947, 31956])).
% 14.60/10.38 tff(31958,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s390) | (~node1(s390)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s390) | (~node1(s390)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(31959,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s390) | (~node1(s390)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(31960,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s390) | (~node1(s390))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[31959, 31958])).
% 14.60/10.38 tff(31961,plain,
% 14.60/10.38 ($false),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31960, 3568, 31957, 31955])).
% 14.60/10.38 tff(31962,plain,(m_main_v_state(s391, c_busy) | (~m_main_v_state(s390, c_ready)) | m_main_v_state(s391, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.38 tff(31963,plain,
% 14.60/10.38 (m_main_v_state(s391, c_ready)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31962, 31945, 31923])).
% 14.60/10.38 tff(31964,plain,
% 14.60/10.38 (always3(s393)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26314, 31921])).
% 14.60/10.38 tff(31965,plain,
% 14.60/10.38 (~m_main_v_state(s393, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31234, 85, 31964])).
% 14.60/10.38 tff(31966,plain,
% 14.60/10.38 (always3(s394) | xuntil6(s394)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31807, 26198])).
% 14.60/10.38 tff(31967,plain,
% 14.60/10.38 (always3(s394)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31966, 28815])).
% 14.60/10.38 tff(31968,plain,
% 14.60/10.38 (~m_main_v_state(s394, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31850, 85, 31967])).
% 14.60/10.38 tff(31969,plain,
% 14.60/10.38 (~node4(s393)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31890, 31968])).
% 14.60/10.38 tff(31970,assumption,(~xuntil6(s362)), introduced(assumption)).
% 14.60/10.38 tff(31971,assumption,(~always3(s310)), introduced(assumption)).
% 14.60/10.38 tff(31972,plain,
% 14.60/10.38 (~always3(s309)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27990, 31971])).
% 14.60/10.38 tff(31973,plain,
% 14.60/10.38 (~always3(s308)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28006, 31972])).
% 14.60/10.38 tff(31974,plain,
% 14.60/10.38 (~always3(s307)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26183, 31973])).
% 14.60/10.38 tff(31975,plain,
% 14.60/10.38 (xuntil6(s307)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26083, 31974])).
% 14.60/10.38 tff(31976,plain,
% 14.60/10.38 (until5(s308)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[26197, 31975])).
% 14.60/10.38 tff(31977,plain,
% 14.60/10.38 (~node4(s310)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28039, 36, 31971])).
% 14.60/10.38 tff(31978,assumption,(~xuntil6(s310)), introduced(assumption)).
% 14.60/10.38 tff(31979,plain,
% 14.60/10.38 (node4(s310) | (~until5(s310))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28046, 294, 31978])).
% 14.60/10.38 tff(31980,plain,
% 14.60/10.38 (~until5(s310)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31979, 31977])).
% 14.60/10.38 tff(31981,plain,
% 14.60/10.38 (~xuntil6(s309)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28035, 31980])).
% 14.60/10.38 tff(31982,plain,
% 14.60/10.38 (~node4(s308)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28010, 36, 31973])).
% 14.60/10.38 tff(31983,plain,
% 14.60/10.38 (xuntil6(s308)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28018, 31982])).
% 14.60/10.38 tff(31984,plain,
% 14.60/10.38 (until5(s309)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28023, 31983])).
% 14.60/10.38 tff(31985,plain,
% 14.60/10.38 ($false),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28918, 31984, 31981])).
% 14.60/10.38 tff(31986,plain,(always3(s310) | (~until5(s308)) | xuntil6(s310)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.38 tff(31987,plain,
% 14.60/10.38 (xuntil6(s310)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[31986, 31976, 31971])).
% 14.60/10.38 tff(31988,plain,
% 14.60/10.38 (until5(s311)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28052, 31987])).
% 14.60/10.38 tff(31989,assumption,(~always3(s357)), introduced(assumption)).
% 14.60/10.38 tff(31990,plain,
% 14.60/10.38 (~always3(s356)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27358, 31989])).
% 14.60/10.38 tff(31991,plain,
% 14.60/10.38 (~always3(s355)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27387, 31990])).
% 14.60/10.38 tff(31992,plain,
% 14.60/10.38 (~always3(s354)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27416, 31991])).
% 14.60/10.38 tff(31993,plain,
% 14.60/10.38 (~always3(s353)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27445, 31992])).
% 14.60/10.38 tff(31994,plain,
% 14.60/10.38 (~always3(s352)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27474, 31993])).
% 14.60/10.38 tff(31995,plain,
% 14.60/10.38 (~always3(s351)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27486, 31994])).
% 14.60/10.38 tff(31996,plain,
% 14.60/10.38 (~always3(s350)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27498, 31995])).
% 14.60/10.38 tff(31997,plain,
% 14.60/10.38 (~always3(s349)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27510, 31996])).
% 14.60/10.38 tff(31998,plain,
% 14.60/10.38 (~always3(s348)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27522, 31997])).
% 14.60/10.38 tff(31999,plain,
% 14.60/10.38 (~always3(s347)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27534, 31998])).
% 14.60/10.38 tff(32000,plain,
% 14.60/10.38 (~always3(s346)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27546, 31999])).
% 14.60/10.38 tff(32001,plain,
% 14.60/10.38 (~always3(s345)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27558, 32000])).
% 14.60/10.38 tff(32002,plain,
% 14.60/10.38 (~always3(s344)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27570, 32001])).
% 14.60/10.38 tff(32003,plain,
% 14.60/10.38 (~always3(s343)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27582, 32002])).
% 14.60/10.38 tff(32004,plain,
% 14.60/10.38 (~always3(s342)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27594, 32003])).
% 14.60/10.38 tff(32005,plain,
% 14.60/10.38 (~always3(s341)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27606, 32004])).
% 14.60/10.38 tff(32006,plain,
% 14.60/10.38 (~always3(s340)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27618, 32005])).
% 14.60/10.38 tff(32007,plain,
% 14.60/10.38 (~always3(s339)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27630, 32006])).
% 14.60/10.38 tff(32008,plain,
% 14.60/10.38 (~always3(s338)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27642, 32007])).
% 14.60/10.38 tff(32009,plain,
% 14.60/10.38 (~always3(s337)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27654, 32008])).
% 14.60/10.38 tff(32010,plain,
% 14.60/10.38 (~always3(s336)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27666, 32009])).
% 14.60/10.38 tff(32011,plain,
% 14.60/10.38 (~always3(s335)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27678, 32010])).
% 14.60/10.38 tff(32012,plain,
% 14.60/10.38 (~always3(s334)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27690, 32011])).
% 14.60/10.38 tff(32013,plain,
% 14.60/10.38 (~always3(s333)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27702, 32012])).
% 14.60/10.38 tff(32014,plain,
% 14.60/10.38 (~always3(s332)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27714, 32013])).
% 14.60/10.38 tff(32015,plain,
% 14.60/10.38 (~always3(s331)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27726, 32014])).
% 14.60/10.38 tff(32016,plain,
% 14.60/10.38 (~always3(s330)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27738, 32015])).
% 14.60/10.38 tff(32017,plain,
% 14.60/10.38 (~always3(s329)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27750, 32016])).
% 14.60/10.38 tff(32018,plain,
% 14.60/10.38 (~always3(s328)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27762, 32017])).
% 14.60/10.38 tff(32019,plain,
% 14.60/10.38 (~always3(s327)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27774, 32018])).
% 14.60/10.38 tff(32020,plain,
% 14.60/10.38 (~always3(s326)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27786, 32019])).
% 14.60/10.38 tff(32021,plain,
% 14.60/10.38 (~always3(s325)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27798, 32020])).
% 14.60/10.38 tff(32022,plain,
% 14.60/10.38 (~always3(s324)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27810, 32021])).
% 14.60/10.38 tff(32023,plain,
% 14.60/10.38 (~always3(s323)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27822, 32022])).
% 14.60/10.38 tff(32024,plain,
% 14.60/10.38 (~always3(s322)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27834, 32023])).
% 14.60/10.38 tff(32025,plain,
% 14.60/10.38 (~always3(s321)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27846, 32024])).
% 14.60/10.38 tff(32026,plain,
% 14.60/10.38 (~always3(s320)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27858, 32025])).
% 14.60/10.38 tff(32027,plain,
% 14.60/10.38 (~always3(s319)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27870, 32026])).
% 14.60/10.38 tff(32028,plain,
% 14.60/10.38 (~always3(s318)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27882, 32027])).
% 14.60/10.38 tff(32029,plain,
% 14.60/10.38 (~always3(s317)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27894, 32028])).
% 14.60/10.38 tff(32030,plain,
% 14.60/10.38 (~always3(s316)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27906, 32029])).
% 14.60/10.38 tff(32031,plain,
% 14.60/10.38 (~always3(s315)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27918, 32030])).
% 14.60/10.38 tff(32032,plain,
% 14.60/10.38 (~always3(s314)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27930, 32031])).
% 14.60/10.38 tff(32033,plain,
% 14.60/10.38 (~always3(s313)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27942, 32032])).
% 14.60/10.38 tff(32034,plain,
% 14.60/10.38 (~always3(s312)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27954, 32033])).
% 14.60/10.38 tff(32035,plain,
% 14.60/10.38 (~always3(s311)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27966, 32034])).
% 14.60/10.38 tff(32036,plain,
% 14.60/10.38 (~always3(s310)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27978, 32035])).
% 14.60/10.38 tff(32037,plain,
% 14.60/10.38 (~node4(s310)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28039, 36, 32036])).
% 14.60/10.38 tff(32038,plain,
% 14.60/10.38 (~always3(s309)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27990, 32036])).
% 14.60/10.38 tff(32039,plain,
% 14.60/10.38 (~always3(s308)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28006, 32038])).
% 14.60/10.38 tff(32040,plain,
% 14.60/10.38 (~node4(s308)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28010, 36, 32039])).
% 14.60/10.38 tff(32041,plain,
% 14.60/10.38 (xuntil6(s308)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28018, 32040])).
% 14.60/10.38 tff(32042,plain,
% 14.60/10.38 (until5(s309)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28023, 32041])).
% 14.60/10.38 tff(32043,plain,
% 14.60/10.38 (xuntil6(s309)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28918, 32042])).
% 14.60/10.38 tff(32044,plain,
% 14.60/10.38 (until5(s310)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28035, 32043])).
% 14.60/10.38 tff(32045,plain,
% 14.60/10.38 (xuntil6(s310)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28046, 294, 32044, 32037])).
% 14.60/10.38 tff(32046,plain,
% 14.60/10.38 (until5(s311)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28052, 32045])).
% 14.60/10.38 tff(32047,plain,
% 14.60/10.38 (~node4(s311)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28056, 36, 32035])).
% 14.60/10.38 tff(32048,plain,
% 14.60/10.38 (xuntil6(s311) | (~until5(s311))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28063, 294, 32047])).
% 14.60/10.38 tff(32049,plain,
% 14.60/10.38 (xuntil6(s311)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32048, 32046])).
% 14.60/10.38 tff(32050,plain,
% 14.60/10.38 (until5(s312)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28069, 32049])).
% 14.60/10.38 tff(32051,plain,
% 14.60/10.38 (~node4(s312)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28073, 36, 32034])).
% 14.60/10.38 tff(32052,plain,
% 14.60/10.38 (xuntil6(s312) | (~until5(s312))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28080, 294, 32051])).
% 14.60/10.38 tff(32053,plain,
% 14.60/10.38 (xuntil6(s312)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32052, 32050])).
% 14.60/10.38 tff(32054,plain,
% 14.60/10.38 (until5(s313)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28086, 32053])).
% 14.60/10.38 tff(32055,plain,
% 14.60/10.38 (~node4(s313)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28090, 36, 32033])).
% 14.60/10.38 tff(32056,plain,
% 14.60/10.38 (xuntil6(s313) | (~until5(s313))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28097, 294, 32055])).
% 14.60/10.38 tff(32057,plain,
% 14.60/10.38 (xuntil6(s313)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32056, 32054])).
% 14.60/10.38 tff(32058,plain,
% 14.60/10.38 (until5(s314)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28103, 32057])).
% 14.60/10.38 tff(32059,plain,
% 14.60/10.38 (~node4(s314)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28107, 36, 32032])).
% 14.60/10.38 tff(32060,plain,
% 14.60/10.38 (xuntil6(s314) | (~until5(s314))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28114, 294, 32059])).
% 14.60/10.38 tff(32061,plain,
% 14.60/10.38 (xuntil6(s314)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32060, 32058])).
% 14.60/10.38 tff(32062,plain,
% 14.60/10.38 (until5(s315)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28120, 32061])).
% 14.60/10.38 tff(32063,plain,
% 14.60/10.38 (~node4(s315)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28124, 36, 32031])).
% 14.60/10.38 tff(32064,plain,
% 14.60/10.38 (xuntil6(s315) | (~until5(s315))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28131, 294, 32063])).
% 14.60/10.38 tff(32065,plain,
% 14.60/10.38 (xuntil6(s315)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32064, 32062])).
% 14.60/10.38 tff(32066,plain,
% 14.60/10.38 (until5(s316)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28137, 32065])).
% 14.60/10.38 tff(32067,plain,
% 14.60/10.38 (~node4(s316)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28141, 36, 32030])).
% 14.60/10.38 tff(32068,plain,
% 14.60/10.38 (xuntil6(s316) | (~until5(s316))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28148, 294, 32067])).
% 14.60/10.38 tff(32069,plain,
% 14.60/10.38 (xuntil6(s316)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32068, 32066])).
% 14.60/10.38 tff(32070,plain,
% 14.60/10.38 (until5(s317)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28154, 32069])).
% 14.60/10.38 tff(32071,plain,
% 14.60/10.38 (~node4(s317)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28158, 36, 32029])).
% 14.60/10.38 tff(32072,plain,
% 14.60/10.38 (xuntil6(s317) | (~until5(s317))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28165, 294, 32071])).
% 14.60/10.38 tff(32073,plain,
% 14.60/10.38 (xuntil6(s317)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32072, 32070])).
% 14.60/10.38 tff(32074,plain,
% 14.60/10.38 (until5(s318)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28171, 32073])).
% 14.60/10.38 tff(32075,plain,
% 14.60/10.38 (~node4(s318)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28175, 36, 32028])).
% 14.60/10.38 tff(32076,plain,
% 14.60/10.38 (xuntil6(s318) | (~until5(s318))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28182, 294, 32075])).
% 14.60/10.38 tff(32077,plain,
% 14.60/10.38 (xuntil6(s318)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32076, 32074])).
% 14.60/10.38 tff(32078,plain,
% 14.60/10.38 (until5(s319)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28188, 32077])).
% 14.60/10.38 tff(32079,plain,
% 14.60/10.38 (~node4(s319)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28192, 36, 32027])).
% 14.60/10.38 tff(32080,plain,
% 14.60/10.38 (xuntil6(s319) | (~until5(s319))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28199, 294, 32079])).
% 14.60/10.38 tff(32081,plain,
% 14.60/10.38 (xuntil6(s319)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32080, 32078])).
% 14.60/10.38 tff(32082,plain,
% 14.60/10.38 (until5(s320)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28205, 32081])).
% 14.60/10.38 tff(32083,plain,
% 14.60/10.38 (~node4(s320)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28209, 36, 32026])).
% 14.60/10.38 tff(32084,plain,
% 14.60/10.38 (xuntil6(s320) | (~until5(s320))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28216, 294, 32083])).
% 14.60/10.38 tff(32085,plain,
% 14.60/10.38 (xuntil6(s320)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32084, 32082])).
% 14.60/10.38 tff(32086,plain,
% 14.60/10.38 (until5(s321)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28222, 32085])).
% 14.60/10.38 tff(32087,plain,
% 14.60/10.38 (~node4(s321)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28226, 36, 32025])).
% 14.60/10.38 tff(32088,plain,
% 14.60/10.38 (xuntil6(s321) | (~until5(s321))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28233, 294, 32087])).
% 14.60/10.38 tff(32089,plain,
% 14.60/10.38 (xuntil6(s321)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32088, 32086])).
% 14.60/10.38 tff(32090,plain,
% 14.60/10.38 (until5(s322)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28239, 32089])).
% 14.60/10.38 tff(32091,plain,
% 14.60/10.38 (~node4(s322)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28243, 36, 32024])).
% 14.60/10.38 tff(32092,plain,
% 14.60/10.38 (xuntil6(s322) | (~until5(s322))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28250, 294, 32091])).
% 14.60/10.38 tff(32093,plain,
% 14.60/10.38 (xuntil6(s322)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32092, 32090])).
% 14.60/10.38 tff(32094,plain,
% 14.60/10.38 (until5(s323)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28256, 32093])).
% 14.60/10.38 tff(32095,plain,
% 14.60/10.38 (~node4(s323)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28260, 36, 32023])).
% 14.60/10.38 tff(32096,plain,
% 14.60/10.38 (xuntil6(s323) | (~until5(s323))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28267, 294, 32095])).
% 14.60/10.38 tff(32097,plain,
% 14.60/10.38 (xuntil6(s323)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32096, 32094])).
% 14.60/10.38 tff(32098,plain,
% 14.60/10.38 (until5(s324)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28273, 32097])).
% 14.60/10.38 tff(32099,plain,
% 14.60/10.38 (~node4(s324)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28277, 36, 32022])).
% 14.60/10.38 tff(32100,plain,
% 14.60/10.38 (xuntil6(s324) | (~until5(s324))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28284, 294, 32099])).
% 14.60/10.38 tff(32101,plain,
% 14.60/10.38 (xuntil6(s324)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32100, 32098])).
% 14.60/10.38 tff(32102,plain,
% 14.60/10.38 (until5(s325)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28290, 32101])).
% 14.60/10.38 tff(32103,plain,
% 14.60/10.38 (~node4(s325)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28294, 36, 32021])).
% 14.60/10.38 tff(32104,plain,
% 14.60/10.38 (xuntil6(s325) | (~until5(s325))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28301, 294, 32103])).
% 14.60/10.38 tff(32105,plain,
% 14.60/10.38 (xuntil6(s325)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32104, 32102])).
% 14.60/10.38 tff(32106,plain,
% 14.60/10.38 (until5(s326)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28307, 32105])).
% 14.60/10.38 tff(32107,plain,
% 14.60/10.38 (~node4(s326)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28311, 36, 32020])).
% 14.60/10.38 tff(32108,plain,
% 14.60/10.38 (xuntil6(s326) | (~until5(s326))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28318, 294, 32107])).
% 14.60/10.38 tff(32109,plain,
% 14.60/10.38 (xuntil6(s326)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32108, 32106])).
% 14.60/10.38 tff(32110,plain,
% 14.60/10.38 (until5(s327)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28324, 32109])).
% 14.60/10.38 tff(32111,plain,
% 14.60/10.38 (~node4(s327)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28328, 36, 32019])).
% 14.60/10.38 tff(32112,plain,
% 14.60/10.38 (xuntil6(s327) | (~until5(s327))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28335, 294, 32111])).
% 14.60/10.38 tff(32113,plain,
% 14.60/10.38 (xuntil6(s327)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32112, 32110])).
% 14.60/10.38 tff(32114,plain,
% 14.60/10.38 (until5(s328)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28341, 32113])).
% 14.60/10.38 tff(32115,plain,
% 14.60/10.38 (~node4(s328)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28345, 36, 32018])).
% 14.60/10.38 tff(32116,plain,
% 14.60/10.38 (xuntil6(s328) | (~until5(s328))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28352, 294, 32115])).
% 14.60/10.38 tff(32117,plain,
% 14.60/10.38 (xuntil6(s328)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32116, 32114])).
% 14.60/10.38 tff(32118,plain,
% 14.60/10.38 (until5(s329)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28358, 32117])).
% 14.60/10.38 tff(32119,plain,
% 14.60/10.38 (~node4(s329)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28362, 36, 32017])).
% 14.60/10.38 tff(32120,plain,
% 14.60/10.38 (xuntil6(s329) | (~until5(s329))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28369, 294, 32119])).
% 14.60/10.38 tff(32121,plain,
% 14.60/10.38 (xuntil6(s329)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32120, 32118])).
% 14.60/10.38 tff(32122,plain,
% 14.60/10.38 (until5(s330)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28375, 32121])).
% 14.60/10.38 tff(32123,plain,
% 14.60/10.38 (~node4(s330)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28379, 36, 32016])).
% 14.60/10.38 tff(32124,plain,
% 14.60/10.38 (xuntil6(s330) | (~until5(s330))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28386, 294, 32123])).
% 14.60/10.38 tff(32125,plain,
% 14.60/10.38 (xuntil6(s330)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32124, 32122])).
% 14.60/10.38 tff(32126,plain,
% 14.60/10.38 (until5(s331)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28392, 32125])).
% 14.60/10.38 tff(32127,plain,
% 14.60/10.38 (~node4(s331)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28396, 36, 32015])).
% 14.60/10.38 tff(32128,plain,
% 14.60/10.38 (xuntil6(s331) | (~until5(s331))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28403, 294, 32127])).
% 14.60/10.38 tff(32129,plain,
% 14.60/10.38 (xuntil6(s331)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32128, 32126])).
% 14.60/10.38 tff(32130,plain,
% 14.60/10.38 (until5(s332)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28409, 32129])).
% 14.60/10.38 tff(32131,plain,
% 14.60/10.38 (~node4(s332)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28413, 36, 32014])).
% 14.60/10.38 tff(32132,plain,
% 14.60/10.38 (xuntil6(s332) | (~until5(s332))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28420, 294, 32131])).
% 14.60/10.38 tff(32133,plain,
% 14.60/10.38 (xuntil6(s332)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32132, 32130])).
% 14.60/10.38 tff(32134,plain,
% 14.60/10.38 (until5(s333)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28426, 32133])).
% 14.60/10.38 tff(32135,plain,
% 14.60/10.38 (~node4(s333)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28430, 36, 32013])).
% 14.60/10.38 tff(32136,plain,
% 14.60/10.38 (xuntil6(s333) | (~until5(s333))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28437, 294, 32135])).
% 14.60/10.38 tff(32137,plain,
% 14.60/10.38 (xuntil6(s333)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32136, 32134])).
% 14.60/10.38 tff(32138,plain,
% 14.60/10.38 (until5(s334)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28443, 32137])).
% 14.60/10.38 tff(32139,plain,
% 14.60/10.38 (~node4(s334)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28447, 36, 32012])).
% 14.60/10.38 tff(32140,plain,
% 14.60/10.38 (xuntil6(s334) | (~until5(s334))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28454, 294, 32139])).
% 14.60/10.38 tff(32141,plain,
% 14.60/10.38 (xuntil6(s334)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32140, 32138])).
% 14.60/10.38 tff(32142,plain,
% 14.60/10.38 (until5(s335)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28460, 32141])).
% 14.60/10.38 tff(32143,plain,
% 14.60/10.38 (~node4(s335)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28464, 36, 32011])).
% 14.60/10.38 tff(32144,plain,
% 14.60/10.38 (xuntil6(s335) | (~until5(s335))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28471, 294, 32143])).
% 14.60/10.38 tff(32145,plain,
% 14.60/10.38 (xuntil6(s335)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32144, 32142])).
% 14.60/10.38 tff(32146,plain,
% 14.60/10.38 (until5(s336)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28477, 32145])).
% 14.60/10.38 tff(32147,plain,
% 14.60/10.38 (~node4(s336)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28481, 36, 32010])).
% 14.60/10.38 tff(32148,plain,
% 14.60/10.38 (xuntil6(s336) | (~until5(s336))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28488, 294, 32147])).
% 14.60/10.38 tff(32149,plain,
% 14.60/10.38 (xuntil6(s336)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32148, 32146])).
% 14.60/10.38 tff(32150,plain,
% 14.60/10.38 (until5(s337)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28494, 32149])).
% 14.60/10.38 tff(32151,plain,
% 14.60/10.38 (~node4(s337)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28498, 36, 32009])).
% 14.60/10.38 tff(32152,plain,
% 14.60/10.38 (xuntil6(s337) | (~until5(s337))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28505, 294, 32151])).
% 14.60/10.38 tff(32153,plain,
% 14.60/10.38 (xuntil6(s337)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32152, 32150])).
% 14.60/10.38 tff(32154,plain,
% 14.60/10.38 (until5(s338)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28511, 32153])).
% 14.60/10.38 tff(32155,plain,
% 14.60/10.38 (~node4(s338)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28515, 36, 32008])).
% 14.60/10.38 tff(32156,plain,
% 14.60/10.38 (xuntil6(s338) | (~until5(s338))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28522, 294, 32155])).
% 14.60/10.38 tff(32157,plain,
% 14.60/10.38 (xuntil6(s338)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32156, 32154])).
% 14.60/10.38 tff(32158,plain,
% 14.60/10.38 (until5(s339)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28528, 32157])).
% 14.60/10.38 tff(32159,plain,
% 14.60/10.38 (xuntil6(s339)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[29193, 32158])).
% 14.60/10.38 tff(32160,plain,
% 14.60/10.38 (until5(s340)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28545, 32159])).
% 14.60/10.38 tff(32161,plain,
% 14.60/10.38 (xuntil6(s340)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[29136, 32160])).
% 14.60/10.38 tff(32162,plain,
% 14.60/10.38 (until5(s341)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28562, 32161])).
% 14.60/10.38 tff(32163,plain,
% 14.60/10.38 (~node4(s341)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28566, 36, 32005])).
% 14.60/10.38 tff(32164,plain,
% 14.60/10.38 (xuntil6(s341) | (~until5(s341))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28573, 294, 32163])).
% 14.60/10.38 tff(32165,plain,
% 14.60/10.38 (xuntil6(s341)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32164, 32162])).
% 14.60/10.38 tff(32166,plain,
% 14.60/10.38 (until5(s342)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28579, 32165])).
% 14.60/10.38 tff(32167,plain,
% 14.60/10.38 (~node4(s342)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28583, 36, 32004])).
% 14.60/10.38 tff(32168,plain,
% 14.60/10.38 (xuntil6(s342) | (~until5(s342))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28590, 294, 32167])).
% 14.60/10.38 tff(32169,plain,
% 14.60/10.38 (xuntil6(s342)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32168, 32166])).
% 14.60/10.38 tff(32170,plain,
% 14.60/10.38 (until5(s343)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28596, 32169])).
% 14.60/10.38 tff(32171,plain,
% 14.60/10.38 (~node4(s343)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28600, 36, 32003])).
% 14.60/10.38 tff(32172,plain,
% 14.60/10.38 (xuntil6(s343) | (~until5(s343))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28607, 294, 32171])).
% 14.60/10.38 tff(32173,plain,
% 14.60/10.38 (xuntil6(s343)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32172, 32170])).
% 14.60/10.38 tff(32174,plain,
% 14.60/10.38 (until5(s344)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28613, 32173])).
% 14.60/10.38 tff(32175,plain,
% 14.60/10.38 (xuntil6(s344)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[29086, 32174])).
% 14.60/10.38 tff(32176,plain,
% 14.60/10.38 (until5(s345)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28630, 32175])).
% 14.60/10.38 tff(32177,plain,
% 14.60/10.38 (~node4(s345)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28634, 36, 32001])).
% 14.60/10.38 tff(32178,plain,
% 14.60/10.38 (xuntil6(s345) | (~until5(s345))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28641, 294, 32177])).
% 14.60/10.38 tff(32179,plain,
% 14.60/10.38 (xuntil6(s345)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32178, 32176])).
% 14.60/10.38 tff(32180,plain,
% 14.60/10.38 (until5(s346)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28647, 32179])).
% 14.60/10.38 tff(32181,plain,
% 14.60/10.38 (~node4(s346)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28651, 36, 32000])).
% 14.60/10.38 tff(32182,plain,
% 14.60/10.38 (xuntil6(s346) | (~until5(s346))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28658, 294, 32181])).
% 14.60/10.38 tff(32183,plain,
% 14.60/10.38 (xuntil6(s346)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32182, 32180])).
% 14.60/10.38 tff(32184,plain,
% 14.60/10.38 (until5(s347)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28664, 32183])).
% 14.60/10.38 tff(32185,plain,
% 14.60/10.38 (~node4(s347)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28668, 36, 31999])).
% 14.60/10.38 tff(32186,plain,
% 14.60/10.38 (xuntil6(s347) | (~until5(s347))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28675, 294, 32185])).
% 14.60/10.38 tff(32187,plain,
% 14.60/10.38 (xuntil6(s347)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32186, 32184])).
% 14.60/10.38 tff(32188,plain,
% 14.60/10.38 (until5(s348)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28681, 32187])).
% 14.60/10.38 tff(32189,plain,
% 14.60/10.38 (~node4(s348)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28685, 36, 31998])).
% 14.60/10.38 tff(32190,plain,
% 14.60/10.38 (xuntil6(s348) | (~until5(s348))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28692, 294, 32189])).
% 14.60/10.38 tff(32191,plain,
% 14.60/10.38 (xuntil6(s348)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32190, 32188])).
% 14.60/10.38 tff(32192,plain,
% 14.60/10.38 (until5(s349)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28698, 32191])).
% 14.60/10.38 tff(32193,plain,
% 14.60/10.38 (~node4(s349)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28702, 36, 31997])).
% 14.60/10.38 tff(32194,plain,
% 14.60/10.38 (xuntil6(s349) | (~until5(s349))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28709, 294, 32193])).
% 14.60/10.38 tff(32195,plain,
% 14.60/10.38 (xuntil6(s349)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32194, 32192])).
% 14.60/10.38 tff(32196,plain,
% 14.60/10.38 (until5(s350)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28715, 32195])).
% 14.60/10.38 tff(32197,plain,
% 14.60/10.38 (xuntil6(s350)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[29024, 32196])).
% 14.60/10.38 tff(32198,plain,
% 14.60/10.38 (until5(s351)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28732, 32197])).
% 14.60/10.38 tff(32199,plain,
% 14.60/10.38 (~node4(s351)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28736, 36, 31995])).
% 14.60/10.38 tff(32200,plain,
% 14.60/10.38 (xuntil6(s351) | (~until5(s351))),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28743, 294, 32199])).
% 14.60/10.38 tff(32201,plain,
% 14.60/10.38 (xuntil6(s351)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32200, 32198])).
% 14.60/10.38 tff(32202,plain,
% 14.60/10.38 (until5(s352)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28749, 32201])).
% 14.60/10.38 tff(32203,assumption,(node4(s352)), introduced(assumption)).
% 14.60/10.38 tff(32204,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s352) | (~node4(s352)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s352) | (~node4(s352)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(32205,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s352) | (~node4(s352)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(32206,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s352) | (~node4(s352))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[32205, 32204])).
% 14.60/10.38 tff(32207,plain,
% 14.60/10.38 (m_main_v_request(s352)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32206, 21, 32203])).
% 14.60/10.38 tff(32208,plain,
% 14.60/10.38 (always3(s352)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[28753, 36, 32203])).
% 14.60/10.38 tff(32209,plain,
% 14.60/10.38 (always3(s353)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[27474, 32208])).
% 14.60/10.38 tff(32210,plain,
% 14.60/10.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s353)) | (~m_main_v_state(s353, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s353)) | (~m_main_v_state(s353, c_busy)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(32211,plain,
% 14.60/10.38 (((~m_main_v_state(s353, c_busy)) | (~always3(s353))) <=> ((~always3(s353)) | (~m_main_v_state(s353, c_busy)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(32212,plain,
% 14.60/10.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s353, c_busy)) | (~always3(s353)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s353)) | (~m_main_v_state(s353, c_busy))))),
% 14.60/10.38 inference(monotonicity,[status(thm)],[32211])).
% 14.60/10.38 tff(32213,plain,
% 14.60/10.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s353, c_busy)) | (~always3(s353)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s353)) | (~m_main_v_state(s353, c_busy)))),
% 14.60/10.38 inference(transitivity,[status(thm)],[32212, 32210])).
% 14.60/10.38 tff(32214,plain,
% 14.60/10.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s353, c_busy)) | (~always3(s353)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(32215,plain,
% 14.60/10.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s353)) | (~m_main_v_state(s353, c_busy))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[32214, 32213])).
% 14.60/10.38 tff(32216,plain,
% 14.60/10.38 (~m_main_v_state(s353, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32215, 85, 32209])).
% 14.60/10.38 tff(32217,plain,
% 14.60/10.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s352)) | (~m_main_v_state(s352, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s352)) | (~m_main_v_state(s352, c_busy)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(32218,plain,
% 14.60/10.38 (((~m_main_v_state(s352, c_busy)) | (~always3(s352))) <=> ((~always3(s352)) | (~m_main_v_state(s352, c_busy)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(32219,plain,
% 14.60/10.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s352, c_busy)) | (~always3(s352)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s352)) | (~m_main_v_state(s352, c_busy))))),
% 14.60/10.38 inference(monotonicity,[status(thm)],[32218])).
% 14.60/10.38 tff(32220,plain,
% 14.60/10.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s352, c_busy)) | (~always3(s352)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s352)) | (~m_main_v_state(s352, c_busy)))),
% 14.60/10.38 inference(transitivity,[status(thm)],[32219, 32217])).
% 14.60/10.38 tff(32221,plain,
% 14.60/10.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s352, c_busy)) | (~always3(s352)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(32222,plain,
% 14.60/10.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s352)) | (~m_main_v_state(s352, c_busy))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[32221, 32220])).
% 14.60/10.38 tff(32223,plain,
% 14.60/10.38 (~m_main_v_state(s352, c_busy)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32222, 85, 32208])).
% 14.60/10.38 tff(32224,assumption,(~m_main_v_state(s352, c_busy)), introduced(assumption)).
% 14.60/10.38 tff(32225,assumption,(node1(s351)), introduced(assumption)).
% 14.60/10.38 tff(32226,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s351, c_ready) | (~node1(s351)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s351, c_ready) | (~node1(s351)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(32227,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s351, c_ready) | (~node1(s351)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(32228,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s351, c_ready) | (~node1(s351))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[32227, 32226])).
% 14.60/10.38 tff(32229,plain,
% 14.60/10.38 (m_main_v_state(s351, c_ready)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32228, 3581, 32225])).
% 14.60/10.38 tff(32230,plain,
% 14.60/10.38 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s351) | (~node1(s351)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s351) | (~node1(s351)))),
% 14.60/10.38 inference(rewrite,[status(thm)],[])).
% 14.60/10.38 tff(32231,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s351) | (~node1(s351)))),
% 14.60/10.38 inference(quant_inst,[status(thm)],[])).
% 14.60/10.38 tff(32232,plain,
% 14.60/10.38 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s351) | (~node1(s351))),
% 14.60/10.38 inference(modus_ponens,[status(thm)],[32231, 32230])).
% 14.60/10.38 tff(32233,plain,
% 14.60/10.38 (m_main_v_request(s351)),
% 14.60/10.38 inference(unit_resolution,[status(thm)],[32232, 3568, 32225])).
% 14.60/10.39 tff(32234,plain,
% 14.60/10.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s351, s352)) | node2(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s351, s352)) | node2(s351, s352))),
% 14.60/10.39 inference(rewrite,[status(thm)],[])).
% 14.60/10.39 tff(32235,plain,
% 14.60/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s351, s352)) | node2(s351, s352))),
% 14.60/10.39 inference(quant_inst,[status(thm)],[])).
% 14.60/10.39 tff(32236,plain,
% 14.60/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s351, s352)) | node2(s351, s352)),
% 14.60/10.39 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 14.60/10.39 tff(32237,plain,
% 14.60/10.39 (node2(s351, s352)),
% 14.60/10.39 inference(unit_resolution,[status(thm)],[32236, 7, 27482])).
% 14.60/10.39 tff(32238,plain,
% 14.60/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s351, c_ready)) | (~node2(s351, s352)) | m_main_v_state(s352, c_busy) | (~m_main_v_request(s351)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s351, c_ready)) | (~node2(s351, s352)) | m_main_v_state(s352, c_busy) | (~m_main_v_request(s351)))),
% 14.60/10.39 inference(rewrite,[status(thm)],[])).
% 14.60/10.39 tff(32239,plain,
% 14.60/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s351, c_ready)) | (~node2(s351, s352)) | m_main_v_state(s352, c_busy) | (~m_main_v_request(s351)))),
% 14.60/10.39 inference(quant_inst,[status(thm)],[])).
% 14.60/10.39 tff(32240,plain,
% 14.60/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s351, c_ready)) | (~node2(s351, s352)) | m_main_v_state(s352, c_busy) | (~m_main_v_request(s351))),
% 14.60/10.39 inference(modus_ponens,[status(thm)],[32239, 32238])).
% 14.60/10.39 tff(32241,plain,
% 14.60/10.39 ((~m_main_v_state(s351, c_ready)) | m_main_v_state(s352, c_busy) | (~m_main_v_request(s351))),
% 14.60/10.39 inference(unit_resolution,[status(thm)],[32240, 73, 32237])).
% 14.60/10.39 tff(32242,plain,
% 14.60/10.39 ($false),
% 14.60/10.39 inference(unit_resolution,[status(thm)],[32241, 32233, 32229, 32224])).
% 14.60/10.39 tff(32243,plain,((~node1(s351)) | m_main_v_state(s352, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.60/10.39 tff(32244,plain,
% 14.60/10.39 (~node1(s351)),
% 14.60/10.39 inference(unit_resolution,[status(thm)],[32243, 32223])).
% 14.60/10.39 tff(32245,plain,
% 14.60/10.39 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s351, s352)) | m_main_v_state(s352, c_busy) | node1(s351) | m_main_v_state(s352, 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(s351, s352)) | m_main_v_state(s352, c_busy) | node1(s351) | m_main_v_state(s352, c_ready))),
% 14.60/10.39 inference(rewrite,[status(thm)],[])).
% 14.60/10.39 tff(32246,plain,
% 14.60/10.39 ((node1(s351) | m_main_v_state(s352, c_ready) | (~node2(s351, s352)) | m_main_v_state(s352, c_busy)) <=> ((~node2(s351, s352)) | m_main_v_state(s352, c_busy) | node1(s351) | m_main_v_state(s352, c_ready))),
% 14.60/10.39 inference(rewrite,[status(thm)],[])).
% 14.60/10.39 tff(32247,plain,
% 14.60/10.39 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s351) | m_main_v_state(s352, c_ready) | (~node2(s351, s352)) | m_main_v_state(s352, 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(s351, s352)) | m_main_v_state(s352, c_busy) | node1(s351) | m_main_v_state(s352, c_ready)))),
% 14.60/10.39 inference(monotonicity,[status(thm)],[32246])).
% 14.60/10.39 tff(32248,plain,
% 14.60/10.39 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s351) | m_main_v_state(s352, c_ready) | (~node2(s351, s352)) | m_main_v_state(s352, 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(s351, s352)) | m_main_v_state(s352, c_busy) | node1(s351) | m_main_v_state(s352, c_ready))),
% 14.68/10.39 inference(transitivity,[status(thm)],[32247, 32245])).
% 14.68/10.39 tff(32249,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s351) | m_main_v_state(s352, c_ready) | (~node2(s351, s352)) | m_main_v_state(s352, c_busy))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32250,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s351, s352)) | m_main_v_state(s352, c_busy) | node1(s351) | m_main_v_state(s352, c_ready)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32249, 32248])).
% 14.68/10.39 tff(32251,plain,
% 14.68/10.39 (m_main_v_state(s352, c_busy) | node1(s351) | m_main_v_state(s352, c_ready)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32250, 3551, 32237])).
% 14.68/10.39 tff(32252,plain,
% 14.68/10.39 (m_main_v_state(s352, c_ready)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32251, 32223, 32244])).
% 14.68/10.39 tff(32253,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s352, s353)) | node2(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s352, s353)) | node2(s352, s353))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32254,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s352, s353)) | node2(s352, s353))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32255,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s352, s353)) | node2(s352, s353)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32254, 32253])).
% 14.68/10.39 tff(32256,plain,
% 14.68/10.39 (node2(s352, s353)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32255, 7, 27470])).
% 14.68/10.39 tff(32257,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s352, c_ready)) | (~node2(s352, s353)) | m_main_v_state(s353, c_busy) | (~m_main_v_request(s352)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s352, c_ready)) | (~node2(s352, s353)) | m_main_v_state(s353, c_busy) | (~m_main_v_request(s352)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32258,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s352, c_ready)) | (~node2(s352, s353)) | m_main_v_state(s353, c_busy) | (~m_main_v_request(s352)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32259,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s352, c_ready)) | (~node2(s352, s353)) | m_main_v_state(s353, c_busy) | (~m_main_v_request(s352))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32258, 32257])).
% 14.68/10.39 tff(32260,plain,
% 14.68/10.39 ((~m_main_v_state(s352, c_ready)) | m_main_v_state(s353, c_busy) | (~m_main_v_request(s352))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32259, 73, 32256])).
% 14.68/10.39 tff(32261,plain,
% 14.68/10.39 ($false),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32260, 32252, 32216, 32207])).
% 14.68/10.39 tff(32262,plain,(~node4(s352)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.39 tff(32263,plain,
% 14.68/10.39 (xuntil6(s352) | (~until5(s352))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[28760, 294, 32262])).
% 14.68/10.39 tff(32264,plain,
% 14.68/10.39 (xuntil6(s352)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32263, 32202])).
% 14.68/10.39 tff(32265,plain,
% 14.68/10.39 (until5(s353)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27465, 32264])).
% 14.68/10.39 tff(32266,plain,
% 14.68/10.39 (~node4(s353)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27449, 36, 31993])).
% 14.68/10.39 tff(32267,plain,
% 14.68/10.39 (xuntil6(s353) | (~until5(s353))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27456, 294, 32266])).
% 14.68/10.39 tff(32268,plain,
% 14.68/10.39 (xuntil6(s353)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32267, 32265])).
% 14.68/10.39 tff(32269,plain,
% 14.68/10.39 (until5(s354)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27436, 32268])).
% 14.68/10.39 tff(32270,plain,
% 14.68/10.39 (~node4(s354)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27420, 36, 31992])).
% 14.68/10.39 tff(32271,plain,
% 14.68/10.39 (xuntil6(s354) | (~until5(s354))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27427, 294, 32270])).
% 14.68/10.39 tff(32272,plain,
% 14.68/10.39 (xuntil6(s354)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32271, 32269])).
% 14.68/10.39 tff(32273,plain,
% 14.68/10.39 (until5(s355)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27407, 32272])).
% 14.68/10.39 tff(32274,plain,
% 14.68/10.39 (~node4(s355)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27391, 36, 31991])).
% 14.68/10.39 tff(32275,plain,
% 14.68/10.39 (xuntil6(s355) | (~until5(s355))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27398, 294, 32274])).
% 14.68/10.39 tff(32276,plain,
% 14.68/10.39 (xuntil6(s355)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32275, 32273])).
% 14.68/10.39 tff(32277,plain,
% 14.68/10.39 (until5(s356)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27378, 32276])).
% 14.68/10.39 tff(32278,plain,
% 14.68/10.39 (~node4(s356)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27362, 36, 31990])).
% 14.68/10.39 tff(32279,plain,
% 14.68/10.39 (xuntil6(s356) | (~until5(s356))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27369, 294, 32278])).
% 14.68/10.39 tff(32280,plain,
% 14.68/10.39 (xuntil6(s356)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32279, 32277])).
% 14.68/10.39 tff(32281,plain,
% 14.68/10.39 (until5(s357)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27349, 32280])).
% 14.68/10.39 tff(32282,plain,
% 14.68/10.39 (~node4(s357)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27333, 36, 31989])).
% 14.68/10.39 tff(32283,plain,
% 14.68/10.39 (xuntil6(s357) | (~until5(s357))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27340, 294, 32282])).
% 14.68/10.39 tff(32284,plain,
% 14.68/10.39 (xuntil6(s357)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32283, 32281])).
% 14.68/10.39 tff(32285,plain,
% 14.68/10.39 (until5(s358)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27320, 32284])).
% 14.68/10.39 tff(32286,assumption,(node4(s358)), introduced(assumption)).
% 14.68/10.39 tff(32287,plain,
% 14.68/10.39 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s358) | (~node4(s358)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s358) | (~node4(s358)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32288,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s358) | (~node4(s358)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32289,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s358) | (~node4(s358))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32288, 32287])).
% 14.68/10.39 tff(32290,plain,
% 14.68/10.39 (m_main_v_request(s358)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32289, 21, 32286])).
% 14.68/10.39 tff(32291,plain,
% 14.68/10.39 (always3(s358)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27304, 36, 32286])).
% 14.68/10.39 tff(32292,plain,
% 14.68/10.39 (always3(s359)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27300, 32291])).
% 14.68/10.39 tff(32293,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s359)) | (~m_main_v_state(s359, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s359)) | (~m_main_v_state(s359, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32294,plain,
% 14.68/10.39 (((~m_main_v_state(s359, c_busy)) | (~always3(s359))) <=> ((~always3(s359)) | (~m_main_v_state(s359, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32295,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s359, c_busy)) | (~always3(s359)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s359)) | (~m_main_v_state(s359, c_busy))))),
% 14.68/10.39 inference(monotonicity,[status(thm)],[32294])).
% 14.68/10.39 tff(32296,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s359, c_busy)) | (~always3(s359)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s359)) | (~m_main_v_state(s359, c_busy)))),
% 14.68/10.39 inference(transitivity,[status(thm)],[32295, 32293])).
% 14.68/10.39 tff(32297,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s359, c_busy)) | (~always3(s359)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32298,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s359)) | (~m_main_v_state(s359, c_busy))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 14.68/10.39 tff(32299,plain,
% 14.68/10.39 (~m_main_v_state(s359, c_busy)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32298, 85, 32292])).
% 14.68/10.39 tff(32300,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s358, s359)) | node2(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s358, s359)) | node2(s358, s359))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32301,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s358, s359)) | node2(s358, s359))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32302,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s358, s359)) | node2(s358, s359)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 14.68/10.39 tff(32303,plain,
% 14.68/10.39 (node2(s358, s359)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32302, 7, 27296])).
% 14.68/10.39 tff(32304,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s358, c_ready)) | (~node2(s358, s359)) | m_main_v_state(s359, c_busy) | (~m_main_v_request(s358)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s358, c_ready)) | (~node2(s358, s359)) | m_main_v_state(s359, c_busy) | (~m_main_v_request(s358)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32305,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s358, c_ready)) | (~node2(s358, s359)) | m_main_v_state(s359, c_busy) | (~m_main_v_request(s358)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32306,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s358, c_ready)) | (~node2(s358, s359)) | m_main_v_state(s359, c_busy) | (~m_main_v_request(s358))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32305, 32304])).
% 14.68/10.39 tff(32307,plain,
% 14.68/10.39 ((~m_main_v_state(s358, c_ready)) | m_main_v_state(s359, c_busy) | (~m_main_v_request(s358))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32306, 73, 32303])).
% 14.68/10.39 tff(32308,plain,
% 14.68/10.39 (~m_main_v_state(s358, c_ready)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32307, 32299, 32290])).
% 14.68/10.39 tff(32309,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s358)) | (~m_main_v_state(s358, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s358)) | (~m_main_v_state(s358, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32310,plain,
% 14.68/10.39 (((~m_main_v_state(s358, c_busy)) | (~always3(s358))) <=> ((~always3(s358)) | (~m_main_v_state(s358, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32311,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s358, c_busy)) | (~always3(s358)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s358)) | (~m_main_v_state(s358, c_busy))))),
% 14.68/10.39 inference(monotonicity,[status(thm)],[32310])).
% 14.68/10.39 tff(32312,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s358, c_busy)) | (~always3(s358)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s358)) | (~m_main_v_state(s358, c_busy)))),
% 14.68/10.39 inference(transitivity,[status(thm)],[32311, 32309])).
% 14.68/10.39 tff(32313,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s358, c_busy)) | (~always3(s358)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32314,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s358)) | (~m_main_v_state(s358, c_busy))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32313, 32312])).
% 14.68/10.39 tff(32315,plain,
% 14.68/10.39 (~m_main_v_state(s358, c_busy)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32314, 85, 32291])).
% 14.68/10.39 tff(32316,plain,
% 14.68/10.39 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s358, c_busy) | m_main_v_state(s358, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s358, c_busy) | m_main_v_state(s358, c_ready))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32317,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s358, c_busy) | m_main_v_state(s358, c_ready))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32318,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s358, c_busy) | m_main_v_state(s358, c_ready)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32317, 32316])).
% 14.68/10.39 tff(32319,plain,
% 14.68/10.39 ($false),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32318, 102, 32315, 32308])).
% 14.68/10.39 tff(32320,plain,(~node4(s358)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.39 tff(32321,plain,
% 14.68/10.39 (xuntil6(s358) | (~until5(s358))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27311, 294, 32320])).
% 14.68/10.39 tff(32322,plain,
% 14.68/10.39 (xuntil6(s358)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32321, 32285])).
% 14.68/10.39 tff(32323,plain,
% 14.68/10.39 (until5(s359)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27291, 32322])).
% 14.68/10.39 tff(32324,assumption,(node4(s359)), introduced(assumption)).
% 14.68/10.39 tff(32325,plain,
% 14.68/10.39 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s359) | (~node4(s359)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s359) | (~node4(s359)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32326,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s359) | (~node4(s359)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32327,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s359) | (~node4(s359))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32326, 32325])).
% 14.68/10.39 tff(32328,plain,
% 14.68/10.39 (m_main_v_request(s359)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32327, 21, 32324])).
% 14.68/10.39 tff(32329,plain,
% 14.68/10.39 (always3(s359)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27275, 36, 32324])).
% 14.68/10.39 tff(32330,plain,
% 14.68/10.39 (always3(s360)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27271, 32329])).
% 14.68/10.39 tff(32331,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s360)) | (~m_main_v_state(s360, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s360)) | (~m_main_v_state(s360, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32332,plain,
% 14.68/10.39 (((~m_main_v_state(s360, c_busy)) | (~always3(s360))) <=> ((~always3(s360)) | (~m_main_v_state(s360, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32333,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s360, c_busy)) | (~always3(s360)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s360)) | (~m_main_v_state(s360, c_busy))))),
% 14.68/10.39 inference(monotonicity,[status(thm)],[32332])).
% 14.68/10.39 tff(32334,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s360, c_busy)) | (~always3(s360)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s360)) | (~m_main_v_state(s360, c_busy)))),
% 14.68/10.39 inference(transitivity,[status(thm)],[32333, 32331])).
% 14.68/10.39 tff(32335,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s360, c_busy)) | (~always3(s360)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32336,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s360)) | (~m_main_v_state(s360, c_busy))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32335, 32334])).
% 14.68/10.39 tff(32337,plain,
% 14.68/10.39 (~m_main_v_state(s360, c_busy)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32336, 85, 32330])).
% 14.68/10.39 tff(32338,plain,
% 14.68/10.39 (~m_main_v_state(s359, c_busy)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32298, 85, 32329])).
% 14.68/10.39 tff(32339,assumption,(~m_main_v_state(s359, c_ready)), introduced(assumption)).
% 14.68/10.39 tff(32340,assumption,(~m_main_v_state(s359, c_busy)), introduced(assumption)).
% 14.68/10.39 tff(32341,plain,
% 14.68/10.39 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s359, c_busy) | m_main_v_state(s359, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s359, c_busy) | m_main_v_state(s359, c_ready))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32342,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s359, c_busy) | m_main_v_state(s359, c_ready))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32343,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s359, c_busy) | m_main_v_state(s359, c_ready)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32342, 32341])).
% 14.68/10.39 tff(32344,plain,
% 14.68/10.39 ($false),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32343, 102, 32340, 32339])).
% 14.68/10.39 tff(32345,plain,(m_main_v_state(s359, c_ready) | m_main_v_state(s359, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.39 tff(32346,plain,
% 14.68/10.39 (m_main_v_state(s359, c_ready)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32345, 32338])).
% 14.68/10.39 tff(32347,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s359, s360)) | node2(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s359, s360)) | node2(s359, s360))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32348,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s359, s360)) | node2(s359, s360))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32349,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s359, s360)) | node2(s359, s360)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 14.68/10.39 tff(32350,plain,
% 14.68/10.39 (node2(s359, s360)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32349, 7, 27267])).
% 14.68/10.39 tff(32351,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s359, c_ready)) | (~node2(s359, s360)) | m_main_v_state(s360, c_busy) | (~m_main_v_request(s359)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s359, c_ready)) | (~node2(s359, s360)) | m_main_v_state(s360, c_busy) | (~m_main_v_request(s359)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32352,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s359, c_ready)) | (~node2(s359, s360)) | m_main_v_state(s360, c_busy) | (~m_main_v_request(s359)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32353,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s359, c_ready)) | (~node2(s359, s360)) | m_main_v_state(s360, c_busy) | (~m_main_v_request(s359))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32352, 32351])).
% 14.68/10.39 tff(32354,plain,
% 14.68/10.39 ((~m_main_v_state(s359, c_ready)) | m_main_v_state(s360, c_busy) | (~m_main_v_request(s359))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32353, 73, 32350])).
% 14.68/10.39 tff(32355,plain,
% 14.68/10.39 ($false),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32354, 32346, 32337, 32328])).
% 14.68/10.39 tff(32356,plain,(~node4(s359)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.39 tff(32357,plain,
% 14.68/10.39 (xuntil6(s359) | (~until5(s359))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27282, 294, 32356])).
% 14.68/10.39 tff(32358,plain,
% 14.68/10.39 (xuntil6(s359)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32357, 32323])).
% 14.68/10.39 tff(32359,plain,
% 14.68/10.39 (until5(s360)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27262, 32358])).
% 14.68/10.39 tff(32360,assumption,(node4(s360)), introduced(assumption)).
% 14.68/10.39 tff(32361,plain,
% 14.68/10.39 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s360) | (~node4(s360)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s360) | (~node4(s360)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32362,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s360) | (~node4(s360)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32363,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s360) | (~node4(s360))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32362, 32361])).
% 14.68/10.39 tff(32364,plain,
% 14.68/10.39 (m_main_v_request(s360)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32363, 21, 32360])).
% 14.68/10.39 tff(32365,plain,
% 14.68/10.39 (always3(s360)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27246, 36, 32360])).
% 14.68/10.39 tff(32366,plain,
% 14.68/10.39 (always3(s361)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27242, 32365])).
% 14.68/10.39 tff(32367,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s361)) | (~m_main_v_state(s361, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s361)) | (~m_main_v_state(s361, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32368,plain,
% 14.68/10.39 (((~m_main_v_state(s361, c_busy)) | (~always3(s361))) <=> ((~always3(s361)) | (~m_main_v_state(s361, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32369,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s361, c_busy)) | (~always3(s361)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s361)) | (~m_main_v_state(s361, c_busy))))),
% 14.68/10.39 inference(monotonicity,[status(thm)],[32368])).
% 14.68/10.39 tff(32370,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s361, c_busy)) | (~always3(s361)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s361)) | (~m_main_v_state(s361, c_busy)))),
% 14.68/10.39 inference(transitivity,[status(thm)],[32369, 32367])).
% 14.68/10.39 tff(32371,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s361, c_busy)) | (~always3(s361)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32372,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s361)) | (~m_main_v_state(s361, c_busy))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32371, 32370])).
% 14.68/10.39 tff(32373,plain,
% 14.68/10.39 (~m_main_v_state(s361, c_busy)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32372, 85, 32366])).
% 14.68/10.39 tff(32374,plain,
% 14.68/10.39 (~m_main_v_state(s360, c_busy)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32336, 85, 32365])).
% 14.68/10.39 tff(32375,assumption,(~m_main_v_state(s360, c_ready)), introduced(assumption)).
% 14.68/10.39 tff(32376,assumption,(~m_main_v_state(s360, c_busy)), introduced(assumption)).
% 14.68/10.39 tff(32377,plain,
% 14.68/10.39 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s360, c_busy) | m_main_v_state(s360, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s360, c_busy) | m_main_v_state(s360, c_ready))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32378,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s360, c_busy) | m_main_v_state(s360, c_ready))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32379,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s360, c_busy) | m_main_v_state(s360, c_ready)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32378, 32377])).
% 14.68/10.39 tff(32380,plain,
% 14.68/10.39 ($false),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32379, 102, 32376, 32375])).
% 14.68/10.39 tff(32381,plain,(m_main_v_state(s360, c_ready) | m_main_v_state(s360, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.39 tff(32382,plain,
% 14.68/10.39 (m_main_v_state(s360, c_ready)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32381, 32374])).
% 14.68/10.39 tff(32383,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s360, s361)) | node2(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s360, s361)) | node2(s360, s361))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32384,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s360, s361)) | node2(s360, s361))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32385,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s360, s361)) | node2(s360, s361)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32384, 32383])).
% 14.68/10.39 tff(32386,plain,
% 14.68/10.39 (node2(s360, s361)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32385, 7, 27238])).
% 14.68/10.39 tff(32387,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s360, c_ready)) | (~node2(s360, s361)) | m_main_v_state(s361, c_busy) | (~m_main_v_request(s360)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s360, c_ready)) | (~node2(s360, s361)) | m_main_v_state(s361, c_busy) | (~m_main_v_request(s360)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32388,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s360, c_ready)) | (~node2(s360, s361)) | m_main_v_state(s361, c_busy) | (~m_main_v_request(s360)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32389,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s360, c_ready)) | (~node2(s360, s361)) | m_main_v_state(s361, c_busy) | (~m_main_v_request(s360))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32388, 32387])).
% 14.68/10.39 tff(32390,plain,
% 14.68/10.39 ((~m_main_v_state(s360, c_ready)) | m_main_v_state(s361, c_busy) | (~m_main_v_request(s360))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32389, 73, 32386])).
% 14.68/10.39 tff(32391,plain,
% 14.68/10.39 ($false),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32390, 32382, 32373, 32364])).
% 14.68/10.39 tff(32392,plain,(~node4(s360)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.39 tff(32393,plain,
% 14.68/10.39 (xuntil6(s360) | (~until5(s360))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27253, 294, 32392])).
% 14.68/10.39 tff(32394,plain,
% 14.68/10.39 (xuntil6(s360)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32393, 32359])).
% 14.68/10.39 tff(32395,plain,
% 14.68/10.39 (until5(s361)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27233, 32394])).
% 14.68/10.39 tff(32396,assumption,(node4(s361)), introduced(assumption)).
% 14.68/10.39 tff(32397,plain,
% 14.68/10.39 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s361) | (~node4(s361)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s361) | (~node4(s361)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32398,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s361) | (~node4(s361)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32399,plain,
% 14.68/10.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s361) | (~node4(s361))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32398, 32397])).
% 14.68/10.39 tff(32400,plain,
% 14.68/10.39 (m_main_v_request(s361)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32399, 21, 32396])).
% 14.68/10.39 tff(32401,plain,
% 14.68/10.39 (always3(s361)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27217, 36, 32396])).
% 14.68/10.39 tff(32402,plain,
% 14.68/10.39 (always3(s362)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[27213, 32401])).
% 14.68/10.39 tff(32403,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s362)) | (~m_main_v_state(s362, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s362)) | (~m_main_v_state(s362, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32404,plain,
% 14.68/10.39 (((~m_main_v_state(s362, c_busy)) | (~always3(s362))) <=> ((~always3(s362)) | (~m_main_v_state(s362, c_busy)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32405,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s362, c_busy)) | (~always3(s362)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s362)) | (~m_main_v_state(s362, c_busy))))),
% 14.68/10.39 inference(monotonicity,[status(thm)],[32404])).
% 14.68/10.39 tff(32406,plain,
% 14.68/10.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s362, c_busy)) | (~always3(s362)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s362)) | (~m_main_v_state(s362, c_busy)))),
% 14.68/10.39 inference(transitivity,[status(thm)],[32405, 32403])).
% 14.68/10.39 tff(32407,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s362, c_busy)) | (~always3(s362)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32408,plain,
% 14.68/10.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s362)) | (~m_main_v_state(s362, c_busy))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32407, 32406])).
% 14.68/10.39 tff(32409,plain,
% 14.68/10.39 (~m_main_v_state(s362, c_busy)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32408, 85, 32402])).
% 14.68/10.39 tff(32410,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s361, s362)) | node2(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s361, s362)) | node2(s361, s362))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32411,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s361, s362)) | node2(s361, s362))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32412,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s361, s362)) | node2(s361, s362)),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32411, 32410])).
% 14.68/10.39 tff(32413,plain,
% 14.68/10.39 (node2(s361, s362)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32412, 7, 27209])).
% 14.68/10.39 tff(32414,plain,
% 14.68/10.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s361, c_ready)) | (~node2(s361, s362)) | m_main_v_state(s362, c_busy) | (~m_main_v_request(s361)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s361, c_ready)) | (~node2(s361, s362)) | m_main_v_state(s362, c_busy) | (~m_main_v_request(s361)))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.39 tff(32415,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s361, c_ready)) | (~node2(s361, s362)) | m_main_v_state(s362, c_busy) | (~m_main_v_request(s361)))),
% 14.68/10.39 inference(quant_inst,[status(thm)],[])).
% 14.68/10.39 tff(32416,plain,
% 14.68/10.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s361, c_ready)) | (~node2(s361, s362)) | m_main_v_state(s362, c_busy) | (~m_main_v_request(s361))),
% 14.68/10.39 inference(modus_ponens,[status(thm)],[32415, 32414])).
% 14.68/10.39 tff(32417,plain,
% 14.68/10.39 ((~m_main_v_state(s361, c_ready)) | m_main_v_state(s362, c_busy) | (~m_main_v_request(s361))),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32416, 73, 32413])).
% 14.68/10.39 tff(32418,plain,
% 14.68/10.39 (~m_main_v_state(s361, c_ready)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32417, 32409, 32400])).
% 14.68/10.39 tff(32419,plain,
% 14.68/10.39 (~m_main_v_state(s361, c_busy)),
% 14.68/10.39 inference(unit_resolution,[status(thm)],[32372, 85, 32401])).
% 14.68/10.39 tff(32420,plain,
% 14.68/10.39 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s361, c_busy) | m_main_v_state(s361, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s361, c_busy) | m_main_v_state(s361, c_ready))),
% 14.68/10.39 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32421,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s361, c_busy) | m_main_v_state(s361, c_ready))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32422,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s361, c_busy) | m_main_v_state(s361, c_ready)),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32421, 32420])).
% 14.68/10.40 tff(32423,plain,
% 14.68/10.40 ($false),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32422, 102, 32419, 32418])).
% 14.68/10.40 tff(32424,plain,(~node4(s361)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.40 tff(32425,plain,
% 14.68/10.40 (xuntil6(s361) | (~until5(s361))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27224, 294, 32424])).
% 14.68/10.40 tff(32426,plain,
% 14.68/10.40 (xuntil6(s361)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32425, 32395])).
% 14.68/10.40 tff(32427,plain,
% 14.68/10.40 (until5(s362)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27204, 32426])).
% 14.68/10.40 tff(32428,plain,
% 14.68/10.40 (node4(s362) | (~until5(s362))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27195, 294, 31970])).
% 14.68/10.40 tff(32429,plain,
% 14.68/10.40 (node4(s362)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32428, 32427])).
% 14.68/10.40 tff(32430,assumption,(~always3(s362)), introduced(assumption)).
% 14.68/10.40 tff(32431,plain,
% 14.68/10.40 (~always3(s361)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27213, 32430])).
% 14.68/10.40 tff(32432,plain,
% 14.68/10.40 (~always3(s360)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27242, 32431])).
% 14.68/10.40 tff(32433,plain,
% 14.68/10.40 (~node4(s360)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27246, 36, 32432])).
% 14.68/10.40 tff(32434,plain,
% 14.68/10.40 (~node4(s362)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27188, 36, 32430])).
% 14.68/10.40 tff(32435,plain,
% 14.68/10.40 (~until5(s362)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32428, 32434])).
% 14.68/10.40 tff(32436,plain,
% 14.68/10.40 (~xuntil6(s361)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27204, 32435])).
% 14.68/10.40 tff(32437,plain,
% 14.68/10.40 (~until5(s361)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32425, 32436])).
% 14.68/10.40 tff(32438,plain,
% 14.68/10.40 (~xuntil6(s360)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27233, 32437])).
% 14.68/10.40 tff(32439,plain,
% 14.68/10.40 (~until5(s360)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27253, 294, 32438, 32433])).
% 14.68/10.40 tff(32440,plain,
% 14.68/10.40 (~xuntil6(s359)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27262, 32439])).
% 14.68/10.40 tff(32441,plain,
% 14.68/10.40 (~until5(s359)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32357, 32440])).
% 14.68/10.40 tff(32442,plain,
% 14.68/10.40 (~xuntil6(s358)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27291, 32441])).
% 14.68/10.40 tff(32443,plain,
% 14.68/10.40 (~until5(s358)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32321, 32442])).
% 14.68/10.40 tff(32444,plain,
% 14.68/10.40 (~xuntil6(s357)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27320, 32443])).
% 14.68/10.40 tff(32445,plain,
% 14.68/10.40 (~always3(s359)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27271, 32432])).
% 14.68/10.40 tff(32446,plain,
% 14.68/10.40 (~always3(s358)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27300, 32445])).
% 14.68/10.40 tff(32447,plain,
% 14.68/10.40 (~always3(s357)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27329, 32446])).
% 14.68/10.40 tff(32448,plain,
% 14.68/10.40 (~node4(s357)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27333, 36, 32447])).
% 14.68/10.40 tff(32449,plain,
% 14.68/10.40 (xuntil6(s357) | (~until5(s357))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27340, 294, 32448])).
% 14.68/10.40 tff(32450,plain,
% 14.68/10.40 (~until5(s357)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32449, 32444])).
% 14.68/10.40 tff(32451,plain,
% 14.68/10.40 (~xuntil6(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27349, 32450])).
% 14.68/10.40 tff(32452,plain,
% 14.68/10.40 (~always3(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27358, 32447])).
% 14.68/10.40 tff(32453,plain,
% 14.68/10.40 (~node4(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27362, 36, 32452])).
% 14.68/10.40 tff(32454,plain,
% 14.68/10.40 (xuntil6(s356) | (~until5(s356))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27369, 294, 32453])).
% 14.68/10.40 tff(32455,plain,
% 14.68/10.40 (~until5(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32454, 32451])).
% 14.68/10.40 tff(32456,plain,
% 14.68/10.40 (~xuntil6(s355)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27378, 32455])).
% 14.68/10.40 tff(32457,plain,
% 14.68/10.40 (~always3(s355)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27387, 32452])).
% 14.68/10.40 tff(32458,plain,
% 14.68/10.40 (~node4(s355)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27391, 36, 32457])).
% 14.68/10.40 tff(32459,plain,
% 14.68/10.40 (xuntil6(s355) | (~until5(s355))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27398, 294, 32458])).
% 14.68/10.40 tff(32460,plain,
% 14.68/10.40 (~until5(s355)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32459, 32456])).
% 14.68/10.40 tff(32461,plain,
% 14.68/10.40 (~xuntil6(s354)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27407, 32460])).
% 14.68/10.40 tff(32462,plain,
% 14.68/10.40 (~always3(s354)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27416, 32457])).
% 14.68/10.40 tff(32463,plain,
% 14.68/10.40 (~node4(s354)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27420, 36, 32462])).
% 14.68/10.40 tff(32464,plain,
% 14.68/10.40 (xuntil6(s354) | (~until5(s354))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27427, 294, 32463])).
% 14.68/10.40 tff(32465,plain,
% 14.68/10.40 (~until5(s354)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32464, 32461])).
% 14.68/10.40 tff(32466,plain,
% 14.68/10.40 (~xuntil6(s353)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27436, 32465])).
% 14.68/10.40 tff(32467,plain,
% 14.68/10.40 (~always3(s353)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27445, 32462])).
% 14.68/10.40 tff(32468,plain,
% 14.68/10.40 (~node4(s353)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27449, 36, 32467])).
% 14.68/10.40 tff(32469,plain,
% 14.68/10.40 (xuntil6(s353) | (~until5(s353))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27456, 294, 32468])).
% 14.68/10.40 tff(32470,plain,
% 14.68/10.40 (~until5(s353)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32469, 32466])).
% 14.68/10.40 tff(32471,plain,
% 14.68/10.40 (~xuntil6(s352)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27465, 32470])).
% 14.68/10.40 tff(32472,plain,
% 14.68/10.40 (~until5(s352)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32263, 32471])).
% 14.68/10.40 tff(32473,plain,
% 14.68/10.40 (~xuntil6(s351)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28749, 32472])).
% 14.68/10.40 tff(32474,plain,
% 14.68/10.40 (~always3(s352)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27474, 32467])).
% 14.68/10.40 tff(32475,plain,
% 14.68/10.40 (~always3(s351)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27486, 32474])).
% 14.68/10.40 tff(32476,plain,
% 14.68/10.40 (~node4(s351)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28736, 36, 32475])).
% 14.68/10.40 tff(32477,plain,
% 14.68/10.40 (xuntil6(s351) | (~until5(s351))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28743, 294, 32476])).
% 14.68/10.40 tff(32478,plain,
% 14.68/10.40 (~until5(s351)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32477, 32473])).
% 14.68/10.40 tff(32479,plain,
% 14.68/10.40 (~xuntil6(s350)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28732, 32478])).
% 14.68/10.40 tff(32480,plain,
% 14.68/10.40 (~until5(s350)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[29024, 32479])).
% 14.68/10.40 tff(32481,plain,
% 14.68/10.40 (~xuntil6(s349)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28715, 32480])).
% 14.68/10.40 tff(32482,plain,
% 14.68/10.40 (~always3(s350)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27498, 32475])).
% 14.68/10.40 tff(32483,plain,
% 14.68/10.40 (~always3(s349)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27510, 32482])).
% 14.68/10.40 tff(32484,plain,
% 14.68/10.40 (~node4(s349)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28702, 36, 32483])).
% 14.68/10.40 tff(32485,plain,
% 14.68/10.40 (xuntil6(s349) | (~until5(s349))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28709, 294, 32484])).
% 14.68/10.40 tff(32486,plain,
% 14.68/10.40 (~until5(s349)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32485, 32481])).
% 14.68/10.40 tff(32487,plain,
% 14.68/10.40 (~xuntil6(s348)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28698, 32486])).
% 14.68/10.40 tff(32488,plain,
% 14.68/10.40 (~always3(s348)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27522, 32483])).
% 14.68/10.40 tff(32489,plain,
% 14.68/10.40 (~node4(s348)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28685, 36, 32488])).
% 14.68/10.40 tff(32490,plain,
% 14.68/10.40 (xuntil6(s348) | (~until5(s348))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28692, 294, 32489])).
% 14.68/10.40 tff(32491,plain,
% 14.68/10.40 (~until5(s348)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32490, 32487])).
% 14.68/10.40 tff(32492,plain,
% 14.68/10.40 (~xuntil6(s347)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28681, 32491])).
% 14.68/10.40 tff(32493,plain,
% 14.68/10.40 (~always3(s347)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27534, 32488])).
% 14.68/10.40 tff(32494,plain,
% 14.68/10.40 (~node4(s347)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28668, 36, 32493])).
% 14.68/10.40 tff(32495,plain,
% 14.68/10.40 (xuntil6(s347) | (~until5(s347))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28675, 294, 32494])).
% 14.68/10.40 tff(32496,plain,
% 14.68/10.40 (~until5(s347)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32495, 32492])).
% 14.68/10.40 tff(32497,plain,
% 14.68/10.40 (~xuntil6(s346)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28664, 32496])).
% 14.68/10.40 tff(32498,plain,
% 14.68/10.40 (~always3(s346)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27546, 32493])).
% 14.68/10.40 tff(32499,plain,
% 14.68/10.40 (~node4(s346)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28651, 36, 32498])).
% 14.68/10.40 tff(32500,plain,
% 14.68/10.40 (xuntil6(s346) | (~until5(s346))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28658, 294, 32499])).
% 14.68/10.40 tff(32501,plain,
% 14.68/10.40 (~until5(s346)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32500, 32497])).
% 14.68/10.40 tff(32502,plain,
% 14.68/10.40 (~xuntil6(s345)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28647, 32501])).
% 14.68/10.40 tff(32503,plain,
% 14.68/10.40 (~always3(s345)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27558, 32498])).
% 14.68/10.40 tff(32504,plain,
% 14.68/10.40 (~node4(s345)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28634, 36, 32503])).
% 14.68/10.40 tff(32505,plain,
% 14.68/10.40 (xuntil6(s345) | (~until5(s345))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28641, 294, 32504])).
% 14.68/10.40 tff(32506,plain,
% 14.68/10.40 (~until5(s345)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32505, 32502])).
% 14.68/10.40 tff(32507,plain,
% 14.68/10.40 (~xuntil6(s344)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28630, 32506])).
% 14.68/10.40 tff(32508,plain,
% 14.68/10.40 (~until5(s344)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[29086, 32507])).
% 14.68/10.40 tff(32509,plain,
% 14.68/10.40 (~xuntil6(s343)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28613, 32508])).
% 14.68/10.40 tff(32510,plain,
% 14.68/10.40 (~always3(s344)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27570, 32503])).
% 14.68/10.40 tff(32511,plain,
% 14.68/10.40 (~always3(s343)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27582, 32510])).
% 14.68/10.40 tff(32512,plain,
% 14.68/10.40 (~node4(s343)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28600, 36, 32511])).
% 14.68/10.40 tff(32513,plain,
% 14.68/10.40 (xuntil6(s343) | (~until5(s343))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28607, 294, 32512])).
% 14.68/10.40 tff(32514,plain,
% 14.68/10.40 (~until5(s343)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32513, 32509])).
% 14.68/10.40 tff(32515,plain,
% 14.68/10.40 (~xuntil6(s342)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28596, 32514])).
% 14.68/10.40 tff(32516,plain,
% 14.68/10.40 (~always3(s342)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27594, 32511])).
% 14.68/10.40 tff(32517,plain,
% 14.68/10.40 (~node4(s342)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28583, 36, 32516])).
% 14.68/10.40 tff(32518,plain,
% 14.68/10.40 (xuntil6(s342) | (~until5(s342))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28590, 294, 32517])).
% 14.68/10.40 tff(32519,plain,
% 14.68/10.40 (~until5(s342)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32518, 32515])).
% 14.68/10.40 tff(32520,plain,
% 14.68/10.40 (~xuntil6(s341)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28579, 32519])).
% 14.68/10.40 tff(32521,plain,
% 14.68/10.40 (~always3(s341)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27606, 32516])).
% 14.68/10.40 tff(32522,plain,
% 14.68/10.40 (~node4(s341)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28566, 36, 32521])).
% 14.68/10.40 tff(32523,plain,
% 14.68/10.40 (xuntil6(s341) | (~until5(s341))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28573, 294, 32522])).
% 14.68/10.40 tff(32524,plain,
% 14.68/10.40 (~until5(s341)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32523, 32520])).
% 14.68/10.40 tff(32525,plain,
% 14.68/10.40 (~xuntil6(s340)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28562, 32524])).
% 14.68/10.40 tff(32526,plain,
% 14.68/10.40 (~until5(s340)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[29136, 32525])).
% 14.68/10.40 tff(32527,plain,
% 14.68/10.40 (~xuntil6(s339)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28545, 32526])).
% 14.68/10.40 tff(32528,plain,
% 14.68/10.40 (~until5(s339)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[29193, 32527])).
% 14.68/10.40 tff(32529,plain,
% 14.68/10.40 (~xuntil6(s338)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28528, 32528])).
% 14.68/10.40 tff(32530,plain,
% 14.68/10.40 (~always3(s340)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27618, 32521])).
% 14.68/10.40 tff(32531,plain,
% 14.68/10.40 (~always3(s339)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27630, 32530])).
% 14.68/10.40 tff(32532,plain,
% 14.68/10.40 (~always3(s338)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27642, 32531])).
% 14.68/10.40 tff(32533,plain,
% 14.68/10.40 (~node4(s338)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28515, 36, 32532])).
% 14.68/10.40 tff(32534,plain,
% 14.68/10.40 (xuntil6(s338) | (~until5(s338))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28522, 294, 32533])).
% 14.68/10.40 tff(32535,plain,
% 14.68/10.40 (~until5(s338)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32534, 32529])).
% 14.68/10.40 tff(32536,plain,
% 14.68/10.40 (~xuntil6(s337)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28511, 32535])).
% 14.68/10.40 tff(32537,plain,
% 14.68/10.40 (~always3(s337)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27654, 32532])).
% 14.68/10.40 tff(32538,plain,
% 14.68/10.40 (~node4(s337)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28498, 36, 32537])).
% 14.68/10.40 tff(32539,plain,
% 14.68/10.40 (xuntil6(s337) | (~until5(s337))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28505, 294, 32538])).
% 14.68/10.40 tff(32540,plain,
% 14.68/10.40 (~until5(s337)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32539, 32536])).
% 14.68/10.40 tff(32541,plain,
% 14.68/10.40 (~xuntil6(s336)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28494, 32540])).
% 14.68/10.40 tff(32542,plain,
% 14.68/10.40 (~always3(s336)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27666, 32537])).
% 14.68/10.40 tff(32543,plain,
% 14.68/10.40 (~node4(s336)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28481, 36, 32542])).
% 14.68/10.40 tff(32544,plain,
% 14.68/10.40 (xuntil6(s336) | (~until5(s336))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28488, 294, 32543])).
% 14.68/10.40 tff(32545,plain,
% 14.68/10.40 (~until5(s336)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32544, 32541])).
% 14.68/10.40 tff(32546,plain,
% 14.68/10.40 (~xuntil6(s335)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28477, 32545])).
% 14.68/10.40 tff(32547,plain,
% 14.68/10.40 (~always3(s335)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27678, 32542])).
% 14.68/10.40 tff(32548,plain,
% 14.68/10.40 (~always3(s334)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27690, 32547])).
% 14.68/10.40 tff(32549,plain,
% 14.68/10.40 (~always3(s333)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27702, 32548])).
% 14.68/10.40 tff(32550,plain,
% 14.68/10.40 (~always3(s332)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27714, 32549])).
% 14.68/10.40 tff(32551,plain,
% 14.68/10.40 (~always3(s331)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27726, 32550])).
% 14.68/10.40 tff(32552,plain,
% 14.68/10.40 (~always3(s330)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27738, 32551])).
% 14.68/10.40 tff(32553,plain,
% 14.68/10.40 (~always3(s329)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27750, 32552])).
% 14.68/10.40 tff(32554,plain,
% 14.68/10.40 (~always3(s328)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27762, 32553])).
% 14.68/10.40 tff(32555,plain,
% 14.68/10.40 (~always3(s327)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27774, 32554])).
% 14.68/10.40 tff(32556,plain,
% 14.68/10.40 (~always3(s326)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27786, 32555])).
% 14.68/10.40 tff(32557,plain,
% 14.68/10.40 (~always3(s325)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27798, 32556])).
% 14.68/10.40 tff(32558,plain,
% 14.68/10.40 (~always3(s324)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27810, 32557])).
% 14.68/10.40 tff(32559,plain,
% 14.68/10.40 (~always3(s323)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27822, 32558])).
% 14.68/10.40 tff(32560,plain,
% 14.68/10.40 (~always3(s322)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27834, 32559])).
% 14.68/10.40 tff(32561,plain,
% 14.68/10.40 (~always3(s321)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27846, 32560])).
% 14.68/10.40 tff(32562,plain,
% 14.68/10.40 (~always3(s320)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27858, 32561])).
% 14.68/10.40 tff(32563,plain,
% 14.68/10.40 (~always3(s319)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27870, 32562])).
% 14.68/10.40 tff(32564,plain,
% 14.68/10.40 (~always3(s318)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27882, 32563])).
% 14.68/10.40 tff(32565,plain,
% 14.68/10.40 (~always3(s317)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27894, 32564])).
% 14.68/10.40 tff(32566,plain,
% 14.68/10.40 (~always3(s316)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27906, 32565])).
% 14.68/10.40 tff(32567,plain,
% 14.68/10.40 (~always3(s315)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27918, 32566])).
% 14.68/10.40 tff(32568,plain,
% 14.68/10.40 (~always3(s314)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27930, 32567])).
% 14.68/10.40 tff(32569,plain,
% 14.68/10.40 (~always3(s313)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27942, 32568])).
% 14.68/10.40 tff(32570,plain,
% 14.68/10.40 (~always3(s312)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27954, 32569])).
% 14.68/10.40 tff(32571,plain,
% 14.68/10.40 (~always3(s311)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27966, 32570])).
% 14.68/10.40 tff(32572,plain,
% 14.68/10.40 (~always3(s310)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27978, 32571])).
% 14.68/10.40 tff(32573,plain,
% 14.68/10.40 (~node4(s310)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28039, 36, 32572])).
% 14.68/10.40 tff(32574,assumption,(~node4(s308)), introduced(assumption)).
% 14.68/10.40 tff(32575,plain,
% 14.68/10.40 (~always3(s309)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27990, 32572])).
% 14.68/10.40 tff(32576,plain,
% 14.68/10.40 (~always3(s308)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28006, 32575])).
% 14.68/10.40 tff(32577,plain,
% 14.68/10.40 (~always3(s307)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[26183, 32576])).
% 14.68/10.40 tff(32578,plain,
% 14.68/10.40 (xuntil6(s307)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[26083, 32577])).
% 14.68/10.40 tff(32579,plain,
% 14.68/10.40 (until5(s308)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[26197, 32578])).
% 14.68/10.40 tff(32580,plain,
% 14.68/10.40 (xuntil6(s308)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28017, 294, 32579, 32574])).
% 14.68/10.40 tff(32581,plain,
% 14.68/10.40 (until5(s309)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28023, 32580])).
% 14.68/10.40 tff(32582,plain,
% 14.68/10.40 (xuntil6(s309)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28918, 32581])).
% 14.68/10.40 tff(32583,plain,
% 14.68/10.40 (until5(s310)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28035, 32582])).
% 14.68/10.40 tff(32584,plain,
% 14.68/10.40 (xuntil6(s310)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28046, 294, 32583, 32573])).
% 14.68/10.40 tff(32585,plain,
% 14.68/10.40 (until5(s311)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28052, 32584])).
% 14.68/10.40 tff(32586,plain,
% 14.68/10.40 (~node4(s311)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28056, 36, 32571])).
% 14.68/10.40 tff(32587,plain,
% 14.68/10.40 (xuntil6(s311) | (~until5(s311))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28063, 294, 32586])).
% 14.68/10.40 tff(32588,plain,
% 14.68/10.40 (xuntil6(s311)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32587, 32585])).
% 14.68/10.40 tff(32589,plain,
% 14.68/10.40 (until5(s312)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28069, 32588])).
% 14.68/10.40 tff(32590,plain,
% 14.68/10.40 (~node4(s312)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28073, 36, 32570])).
% 14.68/10.40 tff(32591,plain,
% 14.68/10.40 (xuntil6(s312) | (~until5(s312))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28080, 294, 32590])).
% 14.68/10.40 tff(32592,plain,
% 14.68/10.40 (xuntil6(s312)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32591, 32589])).
% 14.68/10.40 tff(32593,plain,
% 14.68/10.40 (until5(s313)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28086, 32592])).
% 14.68/10.40 tff(32594,plain,
% 14.68/10.40 (~node4(s313)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28090, 36, 32569])).
% 14.68/10.40 tff(32595,plain,
% 14.68/10.40 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28097, 294, 32594])).
% 14.68/10.40 tff(32596,plain,
% 14.68/10.40 (xuntil6(s313)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32595, 32593])).
% 14.68/10.40 tff(32597,plain,
% 14.68/10.40 (until5(s314)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28103, 32596])).
% 14.68/10.40 tff(32598,plain,
% 14.68/10.40 (~node4(s314)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28107, 36, 32568])).
% 14.68/10.40 tff(32599,plain,
% 14.68/10.40 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28114, 294, 32598])).
% 14.68/10.40 tff(32600,plain,
% 14.68/10.40 (xuntil6(s314)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32599, 32597])).
% 14.68/10.40 tff(32601,plain,
% 14.68/10.40 (until5(s315)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28120, 32600])).
% 14.68/10.40 tff(32602,plain,
% 14.68/10.40 (~node4(s315)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28124, 36, 32567])).
% 14.68/10.40 tff(32603,plain,
% 14.68/10.40 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28131, 294, 32602])).
% 14.68/10.40 tff(32604,plain,
% 14.68/10.40 (xuntil6(s315)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32603, 32601])).
% 14.68/10.40 tff(32605,plain,
% 14.68/10.40 (until5(s316)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28137, 32604])).
% 14.68/10.40 tff(32606,plain,
% 14.68/10.40 (~node4(s316)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28141, 36, 32566])).
% 14.68/10.40 tff(32607,plain,
% 14.68/10.40 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28148, 294, 32606])).
% 14.68/10.40 tff(32608,plain,
% 14.68/10.40 (xuntil6(s316)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32607, 32605])).
% 14.68/10.40 tff(32609,plain,
% 14.68/10.40 (until5(s317)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28154, 32608])).
% 14.68/10.40 tff(32610,plain,
% 14.68/10.40 (~node4(s317)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28158, 36, 32565])).
% 14.68/10.40 tff(32611,plain,
% 14.68/10.40 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28165, 294, 32610])).
% 14.68/10.40 tff(32612,plain,
% 14.68/10.40 (xuntil6(s317)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32611, 32609])).
% 14.68/10.40 tff(32613,plain,
% 14.68/10.40 (until5(s318)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28171, 32612])).
% 14.68/10.40 tff(32614,plain,
% 14.68/10.40 (~node4(s318)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28175, 36, 32564])).
% 14.68/10.40 tff(32615,plain,
% 14.68/10.40 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28182, 294, 32614])).
% 14.68/10.40 tff(32616,plain,
% 14.68/10.40 (xuntil6(s318)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32615, 32613])).
% 14.68/10.40 tff(32617,plain,
% 14.68/10.40 (until5(s319)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28188, 32616])).
% 14.68/10.40 tff(32618,plain,
% 14.68/10.40 (~node4(s319)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28192, 36, 32563])).
% 14.68/10.40 tff(32619,plain,
% 14.68/10.40 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28199, 294, 32618])).
% 14.68/10.40 tff(32620,plain,
% 14.68/10.40 (xuntil6(s319)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32619, 32617])).
% 14.68/10.40 tff(32621,plain,
% 14.68/10.40 (until5(s320)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28205, 32620])).
% 14.68/10.40 tff(32622,plain,
% 14.68/10.40 (~node4(s320)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28209, 36, 32562])).
% 14.68/10.40 tff(32623,plain,
% 14.68/10.40 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28216, 294, 32622])).
% 14.68/10.40 tff(32624,plain,
% 14.68/10.40 (xuntil6(s320)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32623, 32621])).
% 14.68/10.40 tff(32625,plain,
% 14.68/10.40 (until5(s321)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28222, 32624])).
% 14.68/10.40 tff(32626,plain,
% 14.68/10.40 (~node4(s321)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28226, 36, 32561])).
% 14.68/10.40 tff(32627,plain,
% 14.68/10.40 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28233, 294, 32626])).
% 14.68/10.40 tff(32628,plain,
% 14.68/10.40 (xuntil6(s321)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32627, 32625])).
% 14.68/10.40 tff(32629,plain,
% 14.68/10.40 (until5(s322)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28239, 32628])).
% 14.68/10.40 tff(32630,plain,
% 14.68/10.40 (~node4(s322)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28243, 36, 32560])).
% 14.68/10.40 tff(32631,plain,
% 14.68/10.40 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28250, 294, 32630])).
% 14.68/10.40 tff(32632,plain,
% 14.68/10.40 (xuntil6(s322)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32631, 32629])).
% 14.68/10.40 tff(32633,plain,
% 14.68/10.40 (until5(s323)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28256, 32632])).
% 14.68/10.40 tff(32634,plain,
% 14.68/10.40 (~node4(s323)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28260, 36, 32559])).
% 14.68/10.40 tff(32635,plain,
% 14.68/10.40 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28267, 294, 32634])).
% 14.68/10.40 tff(32636,plain,
% 14.68/10.40 (xuntil6(s323)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32635, 32633])).
% 14.68/10.40 tff(32637,plain,
% 14.68/10.40 (until5(s324)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28273, 32636])).
% 14.68/10.40 tff(32638,plain,
% 14.68/10.40 (~node4(s324)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28277, 36, 32558])).
% 14.68/10.40 tff(32639,plain,
% 14.68/10.40 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28284, 294, 32638])).
% 14.68/10.40 tff(32640,plain,
% 14.68/10.40 (xuntil6(s324)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32639, 32637])).
% 14.68/10.40 tff(32641,plain,
% 14.68/10.40 (until5(s325)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28290, 32640])).
% 14.68/10.40 tff(32642,plain,
% 14.68/10.40 (~node4(s325)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28294, 36, 32557])).
% 14.68/10.40 tff(32643,plain,
% 14.68/10.40 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28301, 294, 32642])).
% 14.68/10.40 tff(32644,plain,
% 14.68/10.40 (xuntil6(s325)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32643, 32641])).
% 14.68/10.40 tff(32645,plain,
% 14.68/10.40 (until5(s326)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28307, 32644])).
% 14.68/10.40 tff(32646,plain,
% 14.68/10.40 (~node4(s326)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28311, 36, 32556])).
% 14.68/10.40 tff(32647,plain,
% 14.68/10.40 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28318, 294, 32646])).
% 14.68/10.40 tff(32648,plain,
% 14.68/10.40 (xuntil6(s326)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32647, 32645])).
% 14.68/10.40 tff(32649,plain,
% 14.68/10.40 (until5(s327)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28324, 32648])).
% 14.68/10.40 tff(32650,plain,
% 14.68/10.40 (~node4(s327)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28328, 36, 32555])).
% 14.68/10.40 tff(32651,plain,
% 14.68/10.40 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28335, 294, 32650])).
% 14.68/10.40 tff(32652,plain,
% 14.68/10.40 (xuntil6(s327)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32651, 32649])).
% 14.68/10.40 tff(32653,plain,
% 14.68/10.40 (until5(s328)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28341, 32652])).
% 14.68/10.40 tff(32654,plain,
% 14.68/10.40 (~node4(s328)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28345, 36, 32554])).
% 14.68/10.40 tff(32655,plain,
% 14.68/10.40 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28352, 294, 32654])).
% 14.68/10.40 tff(32656,plain,
% 14.68/10.40 (xuntil6(s328)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32655, 32653])).
% 14.68/10.40 tff(32657,plain,
% 14.68/10.40 (until5(s329)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28358, 32656])).
% 14.68/10.40 tff(32658,plain,
% 14.68/10.40 (~node4(s329)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28362, 36, 32553])).
% 14.68/10.40 tff(32659,plain,
% 14.68/10.40 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28369, 294, 32658])).
% 14.68/10.40 tff(32660,plain,
% 14.68/10.40 (xuntil6(s329)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32659, 32657])).
% 14.68/10.40 tff(32661,plain,
% 14.68/10.40 (until5(s330)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28375, 32660])).
% 14.68/10.40 tff(32662,plain,
% 14.68/10.40 (~node4(s330)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28379, 36, 32552])).
% 14.68/10.40 tff(32663,plain,
% 14.68/10.40 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28386, 294, 32662])).
% 14.68/10.40 tff(32664,plain,
% 14.68/10.40 (xuntil6(s330)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32663, 32661])).
% 14.68/10.40 tff(32665,plain,
% 14.68/10.40 (until5(s331)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28392, 32664])).
% 14.68/10.40 tff(32666,plain,
% 14.68/10.40 (~node4(s331)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28396, 36, 32551])).
% 14.68/10.40 tff(32667,plain,
% 14.68/10.40 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28403, 294, 32666])).
% 14.68/10.40 tff(32668,plain,
% 14.68/10.40 (xuntil6(s331)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32667, 32665])).
% 14.68/10.40 tff(32669,plain,
% 14.68/10.40 (until5(s332)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28409, 32668])).
% 14.68/10.40 tff(32670,plain,
% 14.68/10.40 (~node4(s332)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28413, 36, 32550])).
% 14.68/10.40 tff(32671,plain,
% 14.68/10.40 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28420, 294, 32670])).
% 14.68/10.40 tff(32672,plain,
% 14.68/10.40 (xuntil6(s332)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32671, 32669])).
% 14.68/10.40 tff(32673,plain,
% 14.68/10.40 (until5(s333)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28426, 32672])).
% 14.68/10.40 tff(32674,plain,
% 14.68/10.40 (~node4(s333)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28430, 36, 32549])).
% 14.68/10.40 tff(32675,plain,
% 14.68/10.40 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28437, 294, 32674])).
% 14.68/10.40 tff(32676,plain,
% 14.68/10.40 (xuntil6(s333)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32675, 32673])).
% 14.68/10.40 tff(32677,plain,
% 14.68/10.40 (until5(s334)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28443, 32676])).
% 14.68/10.40 tff(32678,plain,
% 14.68/10.40 (~node4(s334)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28447, 36, 32548])).
% 14.68/10.40 tff(32679,plain,
% 14.68/10.40 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28454, 294, 32678])).
% 14.68/10.40 tff(32680,plain,
% 14.68/10.40 (xuntil6(s334)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32679, 32677])).
% 14.68/10.40 tff(32681,plain,
% 14.68/10.40 (until5(s335)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28460, 32680])).
% 14.68/10.40 tff(32682,plain,
% 14.68/10.40 (~node4(s335)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28464, 36, 32547])).
% 14.68/10.40 tff(32683,plain,
% 14.68/10.40 (xuntil6(s335) | (~until5(s335))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28471, 294, 32682])).
% 14.68/10.40 tff(32684,plain,
% 14.68/10.40 ($false),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32683, 32681, 32546])).
% 14.68/10.40 tff(32685,plain,(always3(s362) | xuntil6(s362) | node4(s308)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.40 tff(32686,plain,
% 14.68/10.40 (always3(s362)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32685, 32040, 31970])).
% 14.68/10.40 tff(32687,plain,
% 14.68/10.40 (always3(s363)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27184, 32686])).
% 14.68/10.40 tff(32688,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s363)) | (~m_main_v_state(s363, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s363)) | (~m_main_v_state(s363, c_busy)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32689,plain,
% 14.68/10.40 (((~m_main_v_state(s363, c_busy)) | (~always3(s363))) <=> ((~always3(s363)) | (~m_main_v_state(s363, c_busy)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32690,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s363, c_busy)) | (~always3(s363)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s363)) | (~m_main_v_state(s363, c_busy))))),
% 14.68/10.40 inference(monotonicity,[status(thm)],[32689])).
% 14.68/10.40 tff(32691,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s363, c_busy)) | (~always3(s363)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s363)) | (~m_main_v_state(s363, c_busy)))),
% 14.68/10.40 inference(transitivity,[status(thm)],[32690, 32688])).
% 14.68/10.40 tff(32692,plain,
% 14.68/10.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s363, c_busy)) | (~always3(s363)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32693,plain,
% 14.68/10.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s363)) | (~m_main_v_state(s363, c_busy))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32692, 32691])).
% 14.68/10.40 tff(32694,plain,
% 14.68/10.40 (~m_main_v_state(s363, c_busy)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32693, 85, 32687])).
% 14.68/10.40 tff(32695,plain,
% 14.68/10.40 (~m_main_v_state(s362, c_busy)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32408, 85, 32686])).
% 14.68/10.40 tff(32696,assumption,(~m_main_v_state(s362, c_busy)), introduced(assumption)).
% 14.68/10.40 tff(32697,assumption,(~m_main_v_state(s362, c_ready)), introduced(assumption)).
% 14.68/10.40 tff(32698,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s361, s362)) | m_main_v_state(s362, c_busy) | node1(s361) | m_main_v_state(s362, 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(s361, s362)) | m_main_v_state(s362, c_busy) | node1(s361) | m_main_v_state(s362, c_ready))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32699,plain,
% 14.68/10.40 ((node1(s361) | m_main_v_state(s362, c_ready) | (~node2(s361, s362)) | m_main_v_state(s362, c_busy)) <=> ((~node2(s361, s362)) | m_main_v_state(s362, c_busy) | node1(s361) | m_main_v_state(s362, c_ready))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32700,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s361) | m_main_v_state(s362, c_ready) | (~node2(s361, s362)) | m_main_v_state(s362, 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(s361, s362)) | m_main_v_state(s362, c_busy) | node1(s361) | m_main_v_state(s362, c_ready)))),
% 14.68/10.40 inference(monotonicity,[status(thm)],[32699])).
% 14.68/10.40 tff(32701,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s361) | m_main_v_state(s362, c_ready) | (~node2(s361, s362)) | m_main_v_state(s362, 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(s361, s362)) | m_main_v_state(s362, c_busy) | node1(s361) | m_main_v_state(s362, c_ready))),
% 14.68/10.40 inference(transitivity,[status(thm)],[32700, 32698])).
% 14.68/10.40 tff(32702,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s361) | m_main_v_state(s362, c_ready) | (~node2(s361, s362)) | m_main_v_state(s362, c_busy))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32703,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s361, s362)) | m_main_v_state(s362, c_busy) | node1(s361) | m_main_v_state(s362, c_ready)),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32702, 32701])).
% 14.68/10.40 tff(32704,plain,
% 14.68/10.40 (m_main_v_state(s362, c_busy) | node1(s361) | m_main_v_state(s362, c_ready)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32703, 3551, 32413])).
% 14.68/10.40 tff(32705,plain,
% 14.68/10.40 (node1(s361)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32704, 32696, 32697])).
% 14.68/10.40 tff(32706,plain,
% 14.68/10.40 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s361, c_ready) | (~node1(s361)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s361, c_ready) | (~node1(s361)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32707,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s361, c_ready) | (~node1(s361)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32708,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s361, c_ready) | (~node1(s361))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32707, 32706])).
% 14.68/10.40 tff(32709,plain,
% 14.68/10.40 (m_main_v_state(s361, c_ready)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32708, 3581, 32705])).
% 14.68/10.40 tff(32710,plain,
% 14.68/10.40 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s361) | (~node1(s361)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s361) | (~node1(s361)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32711,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s361) | (~node1(s361)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32712,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s361) | (~node1(s361))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32711, 32710])).
% 14.68/10.40 tff(32713,plain,
% 14.68/10.40 (m_main_v_request(s361)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32712, 3568, 32705])).
% 14.68/10.40 tff(32714,plain,
% 14.68/10.40 ($false),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32417, 32713, 32709, 32696])).
% 14.68/10.40 tff(32715,plain,(m_main_v_state(s362, c_busy) | m_main_v_state(s362, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.40 tff(32716,plain,
% 14.68/10.40 (m_main_v_state(s362, c_ready)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32715, 32695])).
% 14.68/10.40 tff(32717,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s362, s363)) | node2(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s362, s363)) | node2(s362, s363))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32718,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s362, s363)) | node2(s362, s363))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32719,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s362, s363)) | node2(s362, s363)),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32718, 32717])).
% 14.68/10.40 tff(32720,plain,
% 14.68/10.40 (node2(s362, s363)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32719, 7, 27180])).
% 14.68/10.40 tff(32721,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s362, c_ready)) | (~node2(s362, s363)) | m_main_v_state(s363, c_busy) | (~m_main_v_request(s362)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s362, c_ready)) | (~node2(s362, s363)) | m_main_v_state(s363, c_busy) | (~m_main_v_request(s362)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32722,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s362, c_ready)) | (~node2(s362, s363)) | m_main_v_state(s363, c_busy) | (~m_main_v_request(s362)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32723,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s362, c_ready)) | (~node2(s362, s363)) | m_main_v_state(s363, c_busy) | (~m_main_v_request(s362))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32722, 32721])).
% 14.68/10.40 tff(32724,plain,
% 14.68/10.40 ((~m_main_v_state(s362, c_ready)) | m_main_v_state(s363, c_busy) | (~m_main_v_request(s362))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32723, 73, 32720])).
% 14.68/10.40 tff(32725,plain,
% 14.68/10.40 (~m_main_v_request(s362)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32724, 32716, 32694])).
% 14.68/10.40 tff(32726,plain,
% 14.68/10.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s362) | (~node4(s362)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s362) | (~node4(s362)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32727,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s362) | (~node4(s362)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32728,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s362) | (~node4(s362))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32727, 32726])).
% 14.68/10.40 tff(32729,plain,
% 14.68/10.40 ($false),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32728, 21, 32725, 32429])).
% 14.68/10.40 tff(32730,plain,(always3(s357) | xuntil6(s362) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.40 tff(32731,plain,
% 14.68/10.40 (always3(s357)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32730, 31970, 26199])).
% 14.68/10.40 tff(32732,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s357)) | (~m_main_v_state(s357, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s357)) | (~m_main_v_state(s357, c_busy)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32733,plain,
% 14.68/10.40 (((~m_main_v_state(s357, c_busy)) | (~always3(s357))) <=> ((~always3(s357)) | (~m_main_v_state(s357, c_busy)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32734,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s357, c_busy)) | (~always3(s357)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s357)) | (~m_main_v_state(s357, c_busy))))),
% 14.68/10.40 inference(monotonicity,[status(thm)],[32733])).
% 14.68/10.40 tff(32735,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s357, c_busy)) | (~always3(s357)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s357)) | (~m_main_v_state(s357, c_busy)))),
% 14.68/10.40 inference(transitivity,[status(thm)],[32734, 32732])).
% 14.68/10.40 tff(32736,plain,
% 14.68/10.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s357, c_busy)) | (~always3(s357)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32737,plain,
% 14.68/10.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s357)) | (~m_main_v_state(s357, c_busy))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32736, 32735])).
% 14.68/10.40 tff(32738,plain,
% 14.68/10.40 (~m_main_v_state(s357, c_busy)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32737, 85, 32731])).
% 14.68/10.40 tff(32739,assumption,(~m_main_v_state(s357, c_busy)), introduced(assumption)).
% 14.68/10.40 tff(32740,assumption,(node4(s356)), introduced(assumption)).
% 14.68/10.40 tff(32741,plain,
% 14.68/10.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s356) | (~node4(s356)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s356) | (~node4(s356)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32742,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s356) | (~node4(s356)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32743,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s356) | (~node4(s356))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32742, 32741])).
% 14.68/10.40 tff(32744,plain,
% 14.68/10.40 (m_main_v_request(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32743, 21, 32740])).
% 14.68/10.40 tff(32745,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s356, s357)) | node2(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s356, s357)) | node2(s356, s357))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32746,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s356, s357)) | node2(s356, s357))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32747,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s356, s357)) | node2(s356, s357)),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32746, 32745])).
% 14.68/10.40 tff(32748,plain,
% 14.68/10.40 (node2(s356, s357)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32747, 7, 27354])).
% 14.68/10.40 tff(32749,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s356, c_ready)) | (~node2(s356, s357)) | m_main_v_state(s357, c_busy) | (~m_main_v_request(s356)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s356, c_ready)) | (~node2(s356, s357)) | m_main_v_state(s357, c_busy) | (~m_main_v_request(s356)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32750,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s356, c_ready)) | (~node2(s356, s357)) | m_main_v_state(s357, c_busy) | (~m_main_v_request(s356)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32751,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s356, c_ready)) | (~node2(s356, s357)) | m_main_v_state(s357, c_busy) | (~m_main_v_request(s356))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32750, 32749])).
% 14.68/10.40 tff(32752,plain,
% 14.68/10.40 ((~m_main_v_state(s356, c_ready)) | m_main_v_state(s357, c_busy) | (~m_main_v_request(s356))),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32751, 73, 32748])).
% 14.68/10.40 tff(32753,plain,
% 14.68/10.40 (~m_main_v_state(s356, c_ready)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32752, 32744, 32739])).
% 14.68/10.40 tff(32754,plain,
% 14.68/10.40 (always3(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27362, 36, 32740])).
% 14.68/10.40 tff(32755,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s356)) | (~m_main_v_state(s356, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s356)) | (~m_main_v_state(s356, c_busy)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32756,plain,
% 14.68/10.40 (((~m_main_v_state(s356, c_busy)) | (~always3(s356))) <=> ((~always3(s356)) | (~m_main_v_state(s356, c_busy)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32757,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s356, c_busy)) | (~always3(s356)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s356)) | (~m_main_v_state(s356, c_busy))))),
% 14.68/10.40 inference(monotonicity,[status(thm)],[32756])).
% 14.68/10.40 tff(32758,plain,
% 14.68/10.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s356, c_busy)) | (~always3(s356)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s356)) | (~m_main_v_state(s356, c_busy)))),
% 14.68/10.40 inference(transitivity,[status(thm)],[32757, 32755])).
% 14.68/10.40 tff(32759,plain,
% 14.68/10.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s356, c_busy)) | (~always3(s356)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32760,plain,
% 14.68/10.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s356)) | (~m_main_v_state(s356, c_busy))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32759, 32758])).
% 14.68/10.40 tff(32761,plain,
% 14.68/10.40 (~m_main_v_state(s356, c_busy)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32760, 85, 32754])).
% 14.68/10.40 tff(32762,plain,
% 14.68/10.40 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s356, c_busy) | m_main_v_state(s356, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s356, c_busy) | m_main_v_state(s356, c_ready))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32763,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s356, c_busy) | m_main_v_state(s356, c_ready))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32764,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s356, c_busy) | m_main_v_state(s356, c_ready)),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32763, 32762])).
% 14.68/10.40 tff(32765,plain,
% 14.68/10.40 ($false),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32764, 102, 32761, 32753])).
% 14.68/10.40 tff(32766,plain,((~node4(s356)) | m_main_v_state(s357, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.40 tff(32767,plain,
% 14.68/10.40 (~node4(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32766, 32738])).
% 14.68/10.40 tff(32768,assumption,(until5(s356)), introduced(assumption)).
% 14.68/10.40 tff(32769,plain,
% 14.68/10.40 (xuntil6(s356) | node4(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27369, 294, 32768])).
% 14.68/10.40 tff(32770,plain,
% 14.68/10.40 (xuntil6(s356)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32769, 32767])).
% 14.68/10.40 tff(32771,plain,
% 14.68/10.40 (until5(s357)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27349, 32770])).
% 14.68/10.40 tff(32772,assumption,(~node1(s356)), introduced(assumption)).
% 14.68/10.40 tff(32773,plain,
% 14.68/10.40 (always3(s358)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[27329, 32731])).
% 14.68/10.40 tff(32774,plain,
% 14.68/10.40 (~m_main_v_state(s358, c_busy)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32314, 85, 32773])).
% 14.68/10.40 tff(32775,assumption,(node4(s308)), introduced(assumption)).
% 14.68/10.40 tff(32776,plain,
% 14.68/10.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s308) | (~node4(s308)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s308) | (~node4(s308)))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32777,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s308) | (~node4(s308)))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32778,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s308) | (~node4(s308))),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32777, 32776])).
% 14.68/10.40 tff(32779,plain,
% 14.68/10.40 (m_main_v_request(s308)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32778, 21, 32775])).
% 14.68/10.40 tff(32780,plain,
% 14.68/10.40 (always3(s308)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28010, 36, 32775])).
% 14.68/10.40 tff(32781,plain,
% 14.68/10.40 (always3(s309)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28006, 32780])).
% 14.68/10.40 tff(32782,plain,
% 14.68/10.40 (~m_main_v_state(s309, c_busy)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[28911, 85, 32781])).
% 14.68/10.40 tff(32783,plain,
% 14.68/10.40 (~m_main_v_state(s308, c_busy)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[26190, 85, 32780])).
% 14.68/10.40 tff(32784,assumption,(~m_main_v_state(s308, c_ready)), introduced(assumption)).
% 14.68/10.40 tff(32785,plain,
% 14.68/10.40 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s308, c_busy) | m_main_v_state(s308, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s308, c_busy) | m_main_v_state(s308, c_ready))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32786,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s308, c_busy) | m_main_v_state(s308, c_ready))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32787,plain,
% 14.68/10.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s308, c_busy) | m_main_v_state(s308, c_ready)),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32786, 32785])).
% 14.68/10.40 tff(32788,plain,
% 14.68/10.40 ($false),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32787, 102, 26150, 32784])).
% 14.68/10.40 tff(32789,plain,(m_main_v_state(s308, c_ready) | m_main_v_state(s308, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.40 tff(32790,plain,
% 14.68/10.40 (m_main_v_state(s308, c_ready)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32789, 32783])).
% 14.68/10.40 tff(32791,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s308, s309)) | node2(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s308, s309)) | node2(s308, s309))),
% 14.68/10.40 inference(rewrite,[status(thm)],[])).
% 14.68/10.40 tff(32792,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s308, s309)) | node2(s308, s309))),
% 14.68/10.40 inference(quant_inst,[status(thm)],[])).
% 14.68/10.40 tff(32793,plain,
% 14.68/10.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s308, s309)) | node2(s308, s309)),
% 14.68/10.40 inference(modus_ponens,[status(thm)],[32792, 32791])).
% 14.68/10.40 tff(32794,plain,
% 14.68/10.40 (node2(s308, s309)),
% 14.68/10.40 inference(unit_resolution,[status(thm)],[32793, 7, 28002])).
% 14.68/10.40 tff(32795,plain,
% 14.68/10.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s308, c_ready)) | (~node2(s308, s309)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s308, c_ready)) | (~node2(s308, s309)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32796,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s308, c_ready)) | (~node2(s308, s309)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(32797,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s308, c_ready)) | (~node2(s308, s309)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[32796, 32795])).
% 14.68/10.41 tff(32798,plain,
% 14.68/10.41 ((~m_main_v_state(s308, c_ready)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32797, 73, 32794])).
% 14.68/10.41 tff(32799,plain,
% 14.68/10.41 ($false),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32798, 32790, 32782, 32779])).
% 14.68/10.41 tff(32800,plain,(~node4(s308)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.41 tff(32801,plain,
% 14.68/10.41 (always3(s362) | xuntil6(s362)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32685, 32800])).
% 14.68/10.41 tff(32802,plain,
% 14.68/10.41 (always3(s362)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32801, 31970])).
% 14.68/10.41 tff(32803,plain,
% 14.68/10.41 (always3(s363)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27184, 32802])).
% 14.68/10.41 tff(32804,plain,
% 14.68/10.41 (~m_main_v_state(s363, c_busy)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32693, 85, 32803])).
% 14.68/10.41 tff(32805,plain,
% 14.68/10.41 (~m_main_v_state(s362, c_busy)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32408, 85, 32802])).
% 14.68/10.41 tff(32806,plain,
% 14.68/10.41 (m_main_v_state(s362, c_ready)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32715, 32805])).
% 14.68/10.41 tff(32807,plain,
% 14.68/10.41 (~m_main_v_request(s362)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32724, 32806, 32804])).
% 14.68/10.41 tff(32808,plain,
% 14.68/10.41 (~node4(s362)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32728, 21, 32807])).
% 14.68/10.41 tff(32809,plain,
% 14.68/10.41 (~until5(s362)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32428, 32808])).
% 14.68/10.41 tff(32810,plain,
% 14.68/10.41 (~xuntil6(s361)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27204, 32809])).
% 14.68/10.41 tff(32811,plain,
% 14.68/10.41 (~until5(s361)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32425, 32810])).
% 14.68/10.41 tff(32812,plain,
% 14.68/10.41 (~xuntil6(s360)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27233, 32811])).
% 14.68/10.41 tff(32813,plain,
% 14.68/10.41 (~until5(s360)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32393, 32812])).
% 14.68/10.41 tff(32814,plain,
% 14.68/10.41 (~xuntil6(s359)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27262, 32813])).
% 14.68/10.41 tff(32815,plain,
% 14.68/10.41 (~until5(s359)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32357, 32814])).
% 14.68/10.41 tff(32816,plain,
% 14.68/10.41 (~xuntil6(s358)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27291, 32815])).
% 14.68/10.41 tff(32817,plain,
% 14.68/10.41 (~until5(s358)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32321, 32816])).
% 14.68/10.41 tff(32818,plain,
% 14.68/10.41 (~xuntil6(s357)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27320, 32817])).
% 14.68/10.41 tff(32819,assumption,(until5(s357)), introduced(assumption)).
% 14.68/10.41 tff(32820,plain,
% 14.68/10.41 (xuntil6(s357) | node4(s357)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27340, 294, 32819])).
% 14.68/10.41 tff(32821,plain,
% 14.68/10.41 (node4(s357)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32820, 32818])).
% 14.68/10.41 tff(32822,plain,
% 14.68/10.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s357) | (~node4(s357)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s357) | (~node4(s357)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32823,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s357) | (~node4(s357)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(32824,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s357) | (~node4(s357))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[32823, 32822])).
% 14.68/10.41 tff(32825,plain,
% 14.68/10.41 (m_main_v_request(s357)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32824, 21, 32821])).
% 14.68/10.41 tff(32826,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s357, s358)) | node2(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s357, s358)) | node2(s357, s358))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32827,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s357, s358)) | node2(s357, s358))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(32828,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s357, s358)) | node2(s357, s358)),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[32827, 32826])).
% 14.68/10.41 tff(32829,plain,
% 14.68/10.41 (node2(s357, s358)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32828, 7, 27325])).
% 14.68/10.41 tff(32830,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s357, c_ready)) | (~node2(s357, s358)) | m_main_v_state(s358, c_busy) | (~m_main_v_request(s357)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s357, c_ready)) | (~node2(s357, s358)) | m_main_v_state(s358, c_busy) | (~m_main_v_request(s357)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32831,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s357, c_ready)) | (~node2(s357, s358)) | m_main_v_state(s358, c_busy) | (~m_main_v_request(s357)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(32832,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s357, c_ready)) | (~node2(s357, s358)) | m_main_v_state(s358, c_busy) | (~m_main_v_request(s357))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[32831, 32830])).
% 14.68/10.41 tff(32833,plain,
% 14.68/10.41 ((~m_main_v_state(s357, c_ready)) | m_main_v_state(s358, c_busy) | (~m_main_v_request(s357))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32832, 73, 32829])).
% 14.68/10.41 tff(32834,plain,
% 14.68/10.41 (~m_main_v_state(s357, c_ready)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32833, 32825, 32774])).
% 14.68/10.41 tff(32835,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s356, s357)) | m_main_v_state(s357, c_busy) | node1(s356) | m_main_v_state(s357, 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(s356, s357)) | m_main_v_state(s357, c_busy) | node1(s356) | m_main_v_state(s357, c_ready))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32836,plain,
% 14.68/10.41 ((node1(s356) | m_main_v_state(s357, c_ready) | (~node2(s356, s357)) | m_main_v_state(s357, c_busy)) <=> ((~node2(s356, s357)) | m_main_v_state(s357, c_busy) | node1(s356) | m_main_v_state(s357, c_ready))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32837,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s356) | m_main_v_state(s357, c_ready) | (~node2(s356, s357)) | m_main_v_state(s357, 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(s356, s357)) | m_main_v_state(s357, c_busy) | node1(s356) | m_main_v_state(s357, c_ready)))),
% 14.68/10.41 inference(monotonicity,[status(thm)],[32836])).
% 14.68/10.41 tff(32838,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s356) | m_main_v_state(s357, c_ready) | (~node2(s356, s357)) | m_main_v_state(s357, 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(s356, s357)) | m_main_v_state(s357, c_busy) | node1(s356) | m_main_v_state(s357, c_ready))),
% 14.68/10.41 inference(transitivity,[status(thm)],[32837, 32835])).
% 14.68/10.41 tff(32839,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s356) | m_main_v_state(s357, c_ready) | (~node2(s356, s357)) | m_main_v_state(s357, c_busy))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(32840,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s356, s357)) | m_main_v_state(s357, c_busy) | node1(s356) | m_main_v_state(s357, c_ready)),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[32839, 32838])).
% 14.68/10.41 tff(32841,plain,
% 14.68/10.41 (m_main_v_state(s357, c_busy) | node1(s356) | m_main_v_state(s357, c_ready)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32840, 3551, 32748])).
% 14.68/10.41 tff(32842,plain,
% 14.68/10.41 (m_main_v_state(s357, c_busy)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32841, 32834, 32772])).
% 14.68/10.41 tff(32843,plain,
% 14.68/10.41 ($false),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32737, 85, 32731, 32842])).
% 14.68/10.41 tff(32844,plain,(xuntil6(s362) | node1(s356) | (~until5(s357)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.41 tff(32845,plain,
% 14.68/10.41 (node1(s356)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32844, 32771, 31970, 26199])).
% 14.68/10.41 tff(32846,assumption,(m_main_v_state(s356, c_ready)), introduced(assumption)).
% 14.68/10.41 tff(32847,assumption,(~m_main_v_state(s357, c_ready)), introduced(assumption)).
% 14.68/10.41 tff(32848,plain,
% 14.68/10.41 (node1(s356)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32841, 32739, 32847])).
% 14.68/10.41 tff(32849,plain,
% 14.68/10.41 (~m_main_v_request(s356)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32752, 32739, 32846])).
% 14.68/10.41 tff(32850,plain,
% 14.68/10.41 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s356) | (~node1(s356)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s356) | (~node1(s356)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32851,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s356) | (~node1(s356)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(32852,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s356) | (~node1(s356))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[32851, 32850])).
% 14.68/10.41 tff(32853,plain,
% 14.68/10.41 ($false),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32852, 3568, 32849, 32848])).
% 14.68/10.41 tff(32854,plain,(m_main_v_state(s357, c_busy) | m_main_v_state(s357, c_ready) | (~m_main_v_state(s356, c_ready))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.41 tff(32855,plain,
% 14.68/10.41 (m_main_v_state(s357, c_busy)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32854, 32834, 32846])).
% 14.68/10.41 tff(32856,plain,
% 14.68/10.41 ($false),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32737, 85, 32731, 32855])).
% 14.68/10.41 tff(32857,plain,(xuntil6(s362) | (~m_main_v_state(s356, c_ready)) | (~until5(s357)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.41 tff(32858,plain,
% 14.68/10.41 (~m_main_v_state(s356, c_ready)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32857, 32771, 31970, 26199])).
% 14.68/10.41 tff(32859,plain,
% 14.68/10.41 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s356, c_ready) | (~node1(s356)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s356, c_ready) | (~node1(s356)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32860,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s356, c_ready) | (~node1(s356)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(32861,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s356, c_ready) | (~node1(s356))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[32860, 32859])).
% 14.68/10.41 tff(32862,plain,
% 14.68/10.41 ($false),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32861, 3581, 32858, 32845])).
% 14.68/10.41 tff(32863,plain,(xuntil6(s362) | (~until5(s308)) | (~until5(s356))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.41 tff(32864,plain,
% 14.68/10.41 (~until5(s356)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32863, 31976, 31970])).
% 14.68/10.41 tff(32865,plain,
% 14.68/10.41 (~xuntil6(s355)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27378, 32864])).
% 14.68/10.41 tff(32866,assumption,(~xuntil6(s355)), introduced(assumption)).
% 14.68/10.41 tff(32867,assumption,(until5(s355)), introduced(assumption)).
% 14.68/10.41 tff(32868,plain,
% 14.68/10.41 (xuntil6(s355) | node4(s355)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27398, 294, 32867])).
% 14.68/10.41 tff(32869,plain,
% 14.68/10.41 (node4(s355)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32868, 32866])).
% 14.68/10.41 tff(32870,plain,
% 14.68/10.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s355) | (~node4(s355)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s355) | (~node4(s355)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(32871,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s355) | (~node4(s355)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(32872,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s355) | (~node4(s355))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[32871, 32870])).
% 14.68/10.41 tff(32873,plain,
% 14.68/10.41 (m_main_v_request(s355)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32872, 21, 32869])).
% 14.68/10.41 tff(32874,assumption,(~always3(s355)), introduced(assumption)).
% 14.68/10.41 tff(32875,plain,
% 14.68/10.41 (~always3(s354)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27416, 32874])).
% 14.68/10.41 tff(32876,plain,
% 14.68/10.41 (~node4(s354)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27420, 36, 32875])).
% 14.68/10.41 tff(32877,plain,
% 14.68/10.41 (~node4(s355)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27391, 36, 32874])).
% 14.68/10.41 tff(32878,plain,
% 14.68/10.41 (node4(s355) | (~until5(s355))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27398, 294, 32866])).
% 14.68/10.41 tff(32879,plain,
% 14.68/10.41 (~until5(s355)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32878, 32877])).
% 14.68/10.41 tff(32880,plain,
% 14.68/10.41 (~xuntil6(s354)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27407, 32879])).
% 14.68/10.41 tff(32881,plain,
% 14.68/10.41 (~until5(s354)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27427, 294, 32880, 32876])).
% 14.68/10.41 tff(32882,plain,
% 14.68/10.41 (~xuntil6(s353)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27436, 32881])).
% 14.68/10.41 tff(32883,plain,
% 14.68/10.41 (~always3(s353)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27445, 32875])).
% 14.68/10.41 tff(32884,plain,
% 14.68/10.41 (~node4(s353)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27449, 36, 32883])).
% 14.68/10.41 tff(32885,plain,
% 14.68/10.41 (xuntil6(s353) | (~until5(s353))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27456, 294, 32884])).
% 14.68/10.41 tff(32886,plain,
% 14.68/10.41 (~until5(s353)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32885, 32882])).
% 14.68/10.41 tff(32887,plain,
% 14.68/10.41 (~xuntil6(s352)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27465, 32886])).
% 14.68/10.41 tff(32888,plain,
% 14.68/10.41 (~until5(s352)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32263, 32887])).
% 14.68/10.41 tff(32889,plain,
% 14.68/10.41 (~xuntil6(s351)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28749, 32888])).
% 14.68/10.41 tff(32890,plain,
% 14.68/10.41 (~always3(s352)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27474, 32883])).
% 14.68/10.41 tff(32891,plain,
% 14.68/10.41 (~always3(s351)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27486, 32890])).
% 14.68/10.41 tff(32892,plain,
% 14.68/10.41 (~node4(s351)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28736, 36, 32891])).
% 14.68/10.41 tff(32893,plain,
% 14.68/10.41 (xuntil6(s351) | (~until5(s351))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28743, 294, 32892])).
% 14.68/10.41 tff(32894,plain,
% 14.68/10.41 (~until5(s351)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32893, 32889])).
% 14.68/10.41 tff(32895,plain,
% 14.68/10.41 (~xuntil6(s350)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28732, 32894])).
% 14.68/10.41 tff(32896,plain,
% 14.68/10.41 (~until5(s350)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[29024, 32895])).
% 14.68/10.41 tff(32897,plain,
% 14.68/10.41 (~xuntil6(s349)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28715, 32896])).
% 14.68/10.41 tff(32898,plain,
% 14.68/10.41 (~always3(s350)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27498, 32891])).
% 14.68/10.41 tff(32899,plain,
% 14.68/10.41 (~always3(s349)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27510, 32898])).
% 14.68/10.41 tff(32900,plain,
% 14.68/10.41 (~node4(s349)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28702, 36, 32899])).
% 14.68/10.41 tff(32901,plain,
% 14.68/10.41 (xuntil6(s349) | (~until5(s349))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28709, 294, 32900])).
% 14.68/10.41 tff(32902,plain,
% 14.68/10.41 (~until5(s349)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32901, 32897])).
% 14.68/10.41 tff(32903,plain,
% 14.68/10.41 (~xuntil6(s348)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28698, 32902])).
% 14.68/10.41 tff(32904,plain,
% 14.68/10.41 (~always3(s348)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27522, 32899])).
% 14.68/10.41 tff(32905,plain,
% 14.68/10.41 (~node4(s348)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28685, 36, 32904])).
% 14.68/10.41 tff(32906,plain,
% 14.68/10.41 (xuntil6(s348) | (~until5(s348))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28692, 294, 32905])).
% 14.68/10.41 tff(32907,plain,
% 14.68/10.41 (~until5(s348)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32906, 32903])).
% 14.68/10.41 tff(32908,plain,
% 14.68/10.41 (~xuntil6(s347)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28681, 32907])).
% 14.68/10.41 tff(32909,plain,
% 14.68/10.41 (~always3(s347)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27534, 32904])).
% 14.68/10.41 tff(32910,plain,
% 14.68/10.41 (~node4(s347)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28668, 36, 32909])).
% 14.68/10.41 tff(32911,plain,
% 14.68/10.41 (xuntil6(s347) | (~until5(s347))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28675, 294, 32910])).
% 14.68/10.41 tff(32912,plain,
% 14.68/10.41 (~until5(s347)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32911, 32908])).
% 14.68/10.41 tff(32913,plain,
% 14.68/10.41 (~xuntil6(s346)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28664, 32912])).
% 14.68/10.41 tff(32914,plain,
% 14.68/10.41 (~always3(s346)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27546, 32909])).
% 14.68/10.41 tff(32915,plain,
% 14.68/10.41 (~node4(s346)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28651, 36, 32914])).
% 14.68/10.41 tff(32916,plain,
% 14.68/10.41 (xuntil6(s346) | (~until5(s346))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28658, 294, 32915])).
% 14.68/10.41 tff(32917,plain,
% 14.68/10.41 (~until5(s346)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32916, 32913])).
% 14.68/10.41 tff(32918,plain,
% 14.68/10.41 (~xuntil6(s345)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28647, 32917])).
% 14.68/10.41 tff(32919,plain,
% 14.68/10.41 (~always3(s345)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27558, 32914])).
% 14.68/10.41 tff(32920,plain,
% 14.68/10.41 (~node4(s345)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28634, 36, 32919])).
% 14.68/10.41 tff(32921,plain,
% 14.68/10.41 (xuntil6(s345) | (~until5(s345))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28641, 294, 32920])).
% 14.68/10.41 tff(32922,plain,
% 14.68/10.41 (~until5(s345)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32921, 32918])).
% 14.68/10.41 tff(32923,plain,
% 14.68/10.41 (~xuntil6(s344)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28630, 32922])).
% 14.68/10.41 tff(32924,plain,
% 14.68/10.41 (~until5(s344)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[29086, 32923])).
% 14.68/10.41 tff(32925,plain,
% 14.68/10.41 (~xuntil6(s343)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28613, 32924])).
% 14.68/10.41 tff(32926,plain,
% 14.68/10.41 (~always3(s344)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27570, 32919])).
% 14.68/10.41 tff(32927,plain,
% 14.68/10.41 (~always3(s343)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27582, 32926])).
% 14.68/10.41 tff(32928,plain,
% 14.68/10.41 (~node4(s343)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28600, 36, 32927])).
% 14.68/10.41 tff(32929,plain,
% 14.68/10.41 (xuntil6(s343) | (~until5(s343))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28607, 294, 32928])).
% 14.68/10.41 tff(32930,plain,
% 14.68/10.41 (~until5(s343)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32929, 32925])).
% 14.68/10.41 tff(32931,plain,
% 14.68/10.41 (~xuntil6(s342)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28596, 32930])).
% 14.68/10.41 tff(32932,plain,
% 14.68/10.41 (~always3(s342)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27594, 32927])).
% 14.68/10.41 tff(32933,plain,
% 14.68/10.41 (~node4(s342)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28583, 36, 32932])).
% 14.68/10.41 tff(32934,plain,
% 14.68/10.41 (xuntil6(s342) | (~until5(s342))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28590, 294, 32933])).
% 14.68/10.41 tff(32935,plain,
% 14.68/10.41 (~until5(s342)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32934, 32931])).
% 14.68/10.41 tff(32936,plain,
% 14.68/10.41 (~xuntil6(s341)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28579, 32935])).
% 14.68/10.41 tff(32937,plain,
% 14.68/10.41 (~always3(s341)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27606, 32932])).
% 14.68/10.41 tff(32938,plain,
% 14.68/10.41 (~node4(s341)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28566, 36, 32937])).
% 14.68/10.41 tff(32939,plain,
% 14.68/10.41 (xuntil6(s341) | (~until5(s341))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28573, 294, 32938])).
% 14.68/10.41 tff(32940,plain,
% 14.68/10.41 (~until5(s341)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32939, 32936])).
% 14.68/10.41 tff(32941,plain,
% 14.68/10.41 (~xuntil6(s340)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28562, 32940])).
% 14.68/10.41 tff(32942,plain,
% 14.68/10.41 (~until5(s340)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[29136, 32941])).
% 14.68/10.41 tff(32943,plain,
% 14.68/10.41 (~xuntil6(s339)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28545, 32942])).
% 14.68/10.41 tff(32944,plain,
% 14.68/10.41 (~until5(s339)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[29193, 32943])).
% 14.68/10.41 tff(32945,plain,
% 14.68/10.41 (~xuntil6(s338)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28528, 32944])).
% 14.68/10.41 tff(32946,plain,
% 14.68/10.41 (~always3(s340)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27618, 32937])).
% 14.68/10.41 tff(32947,plain,
% 14.68/10.41 (~always3(s339)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27630, 32946])).
% 14.68/10.41 tff(32948,plain,
% 14.68/10.41 (~always3(s338)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27642, 32947])).
% 14.68/10.41 tff(32949,plain,
% 14.68/10.41 (~node4(s338)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28515, 36, 32948])).
% 14.68/10.41 tff(32950,plain,
% 14.68/10.41 (xuntil6(s338) | (~until5(s338))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28522, 294, 32949])).
% 14.68/10.41 tff(32951,plain,
% 14.68/10.41 (~until5(s338)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32950, 32945])).
% 14.68/10.41 tff(32952,plain,
% 14.68/10.41 (~xuntil6(s337)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28511, 32951])).
% 14.68/10.41 tff(32953,plain,
% 14.68/10.41 (~always3(s337)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27654, 32948])).
% 14.68/10.41 tff(32954,plain,
% 14.68/10.41 (~node4(s337)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28498, 36, 32953])).
% 14.68/10.41 tff(32955,plain,
% 14.68/10.41 (xuntil6(s337) | (~until5(s337))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28505, 294, 32954])).
% 14.68/10.41 tff(32956,plain,
% 14.68/10.41 (~until5(s337)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32955, 32952])).
% 14.68/10.41 tff(32957,plain,
% 14.68/10.41 (~xuntil6(s336)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28494, 32956])).
% 14.68/10.41 tff(32958,plain,
% 14.68/10.41 (~always3(s336)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27666, 32953])).
% 14.68/10.41 tff(32959,plain,
% 14.68/10.41 (~node4(s336)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28481, 36, 32958])).
% 14.68/10.41 tff(32960,plain,
% 14.68/10.41 (xuntil6(s336) | (~until5(s336))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28488, 294, 32959])).
% 14.68/10.41 tff(32961,plain,
% 14.68/10.41 (~until5(s336)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32960, 32957])).
% 14.68/10.41 tff(32962,plain,
% 14.68/10.41 (~xuntil6(s335)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28477, 32961])).
% 14.68/10.41 tff(32963,plain,
% 14.68/10.41 (~always3(s335)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27678, 32958])).
% 14.68/10.41 tff(32964,plain,
% 14.68/10.41 (~node4(s335)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28464, 36, 32963])).
% 14.68/10.41 tff(32965,plain,
% 14.68/10.41 (xuntil6(s335) | (~until5(s335))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28471, 294, 32964])).
% 14.68/10.41 tff(32966,plain,
% 14.68/10.41 (~until5(s335)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32965, 32962])).
% 14.68/10.41 tff(32967,plain,
% 14.68/10.41 (~xuntil6(s334)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28460, 32966])).
% 14.68/10.41 tff(32968,plain,
% 14.68/10.41 (~always3(s334)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27690, 32963])).
% 14.68/10.41 tff(32969,plain,
% 14.68/10.41 (~node4(s334)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28447, 36, 32968])).
% 14.68/10.41 tff(32970,plain,
% 14.68/10.41 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28454, 294, 32969])).
% 14.68/10.41 tff(32971,plain,
% 14.68/10.41 (~until5(s334)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32970, 32967])).
% 14.68/10.41 tff(32972,plain,
% 14.68/10.41 (~xuntil6(s333)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28443, 32971])).
% 14.68/10.41 tff(32973,plain,
% 14.68/10.41 (~always3(s333)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27702, 32968])).
% 14.68/10.41 tff(32974,plain,
% 14.68/10.41 (~node4(s333)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28430, 36, 32973])).
% 14.68/10.41 tff(32975,plain,
% 14.68/10.41 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28437, 294, 32974])).
% 14.68/10.41 tff(32976,plain,
% 14.68/10.41 (~until5(s333)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32975, 32972])).
% 14.68/10.41 tff(32977,plain,
% 14.68/10.41 (~xuntil6(s332)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28426, 32976])).
% 14.68/10.41 tff(32978,plain,
% 14.68/10.41 (~always3(s332)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27714, 32973])).
% 14.68/10.41 tff(32979,plain,
% 14.68/10.41 (~always3(s331)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27726, 32978])).
% 14.68/10.41 tff(32980,plain,
% 14.68/10.41 (~always3(s330)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27738, 32979])).
% 14.68/10.41 tff(32981,plain,
% 14.68/10.41 (~always3(s329)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27750, 32980])).
% 14.68/10.41 tff(32982,plain,
% 14.68/10.41 (~always3(s328)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27762, 32981])).
% 14.68/10.41 tff(32983,plain,
% 14.68/10.41 (~always3(s327)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27774, 32982])).
% 14.68/10.41 tff(32984,plain,
% 14.68/10.41 (~always3(s326)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27786, 32983])).
% 14.68/10.41 tff(32985,plain,
% 14.68/10.41 (~always3(s325)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27798, 32984])).
% 14.68/10.41 tff(32986,plain,
% 14.68/10.41 (~always3(s324)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27810, 32985])).
% 14.68/10.41 tff(32987,plain,
% 14.68/10.41 (~always3(s323)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27822, 32986])).
% 14.68/10.41 tff(32988,plain,
% 14.68/10.41 (~always3(s322)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27834, 32987])).
% 14.68/10.41 tff(32989,plain,
% 14.68/10.41 (~always3(s321)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27846, 32988])).
% 14.68/10.41 tff(32990,plain,
% 14.68/10.41 (~always3(s320)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27858, 32989])).
% 14.68/10.41 tff(32991,plain,
% 14.68/10.41 (~always3(s319)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27870, 32990])).
% 14.68/10.41 tff(32992,plain,
% 14.68/10.41 (~always3(s318)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27882, 32991])).
% 14.68/10.41 tff(32993,plain,
% 14.68/10.41 (~always3(s317)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27894, 32992])).
% 14.68/10.41 tff(32994,plain,
% 14.68/10.41 (~always3(s316)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27906, 32993])).
% 14.68/10.41 tff(32995,plain,
% 14.68/10.41 (~always3(s315)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27918, 32994])).
% 14.68/10.41 tff(32996,plain,
% 14.68/10.41 (~always3(s314)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27930, 32995])).
% 14.68/10.41 tff(32997,plain,
% 14.68/10.41 (~always3(s313)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27942, 32996])).
% 14.68/10.41 tff(32998,plain,
% 14.68/10.41 (~always3(s312)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27954, 32997])).
% 14.68/10.41 tff(32999,plain,
% 14.68/10.41 (~always3(s311)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27966, 32998])).
% 14.68/10.41 tff(33000,plain,
% 14.68/10.41 (~always3(s310)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27978, 32999])).
% 14.68/10.41 tff(33001,plain,
% 14.68/10.41 (~node4(s310)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28039, 36, 33000])).
% 14.68/10.41 tff(33002,plain,
% 14.68/10.41 (~always3(s309)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27990, 33000])).
% 14.68/10.41 tff(33003,plain,
% 14.68/10.41 (~always3(s308)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28006, 33002])).
% 14.68/10.41 tff(33004,plain,
% 14.68/10.41 (~node4(s308)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28010, 36, 33003])).
% 14.68/10.41 tff(33005,plain,
% 14.68/10.41 (xuntil6(s308)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28018, 33004])).
% 14.68/10.41 tff(33006,plain,
% 14.68/10.41 (until5(s309)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28023, 33005])).
% 14.68/10.41 tff(33007,plain,
% 14.68/10.41 (xuntil6(s309)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28918, 33006])).
% 14.68/10.41 tff(33008,plain,
% 14.68/10.41 (until5(s310)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28035, 33007])).
% 14.68/10.41 tff(33009,plain,
% 14.68/10.41 (xuntil6(s310)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28046, 294, 33008, 33001])).
% 14.68/10.41 tff(33010,plain,
% 14.68/10.41 (until5(s311)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28052, 33009])).
% 14.68/10.41 tff(33011,plain,
% 14.68/10.41 (~node4(s311)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28056, 36, 32999])).
% 14.68/10.41 tff(33012,plain,
% 14.68/10.41 (xuntil6(s311) | (~until5(s311))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28063, 294, 33011])).
% 14.68/10.41 tff(33013,plain,
% 14.68/10.41 (xuntil6(s311)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33012, 33010])).
% 14.68/10.41 tff(33014,plain,
% 14.68/10.41 (until5(s312)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28069, 33013])).
% 14.68/10.41 tff(33015,plain,
% 14.68/10.41 (~node4(s312)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28073, 36, 32998])).
% 14.68/10.41 tff(33016,plain,
% 14.68/10.41 (xuntil6(s312) | (~until5(s312))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28080, 294, 33015])).
% 14.68/10.41 tff(33017,plain,
% 14.68/10.41 (xuntil6(s312)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33016, 33014])).
% 14.68/10.41 tff(33018,plain,
% 14.68/10.41 (until5(s313)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28086, 33017])).
% 14.68/10.41 tff(33019,plain,
% 14.68/10.41 (~node4(s313)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28090, 36, 32997])).
% 14.68/10.41 tff(33020,plain,
% 14.68/10.41 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28097, 294, 33019])).
% 14.68/10.41 tff(33021,plain,
% 14.68/10.41 (xuntil6(s313)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33020, 33018])).
% 14.68/10.41 tff(33022,plain,
% 14.68/10.41 (until5(s314)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28103, 33021])).
% 14.68/10.41 tff(33023,plain,
% 14.68/10.41 (~node4(s314)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28107, 36, 32996])).
% 14.68/10.41 tff(33024,plain,
% 14.68/10.41 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28114, 294, 33023])).
% 14.68/10.41 tff(33025,plain,
% 14.68/10.41 (xuntil6(s314)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33024, 33022])).
% 14.68/10.41 tff(33026,plain,
% 14.68/10.41 (until5(s315)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28120, 33025])).
% 14.68/10.41 tff(33027,plain,
% 14.68/10.41 (~node4(s315)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28124, 36, 32995])).
% 14.68/10.41 tff(33028,plain,
% 14.68/10.41 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28131, 294, 33027])).
% 14.68/10.41 tff(33029,plain,
% 14.68/10.41 (xuntil6(s315)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33028, 33026])).
% 14.68/10.41 tff(33030,plain,
% 14.68/10.41 (until5(s316)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28137, 33029])).
% 14.68/10.41 tff(33031,plain,
% 14.68/10.41 (~node4(s316)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28141, 36, 32994])).
% 14.68/10.41 tff(33032,plain,
% 14.68/10.41 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28148, 294, 33031])).
% 14.68/10.41 tff(33033,plain,
% 14.68/10.41 (xuntil6(s316)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33032, 33030])).
% 14.68/10.41 tff(33034,plain,
% 14.68/10.41 (until5(s317)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28154, 33033])).
% 14.68/10.41 tff(33035,plain,
% 14.68/10.41 (~node4(s317)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28158, 36, 32993])).
% 14.68/10.41 tff(33036,plain,
% 14.68/10.41 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28165, 294, 33035])).
% 14.68/10.41 tff(33037,plain,
% 14.68/10.41 (xuntil6(s317)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33036, 33034])).
% 14.68/10.41 tff(33038,plain,
% 14.68/10.41 (until5(s318)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28171, 33037])).
% 14.68/10.41 tff(33039,plain,
% 14.68/10.41 (~node4(s318)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28175, 36, 32992])).
% 14.68/10.41 tff(33040,plain,
% 14.68/10.41 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28182, 294, 33039])).
% 14.68/10.41 tff(33041,plain,
% 14.68/10.41 (xuntil6(s318)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33040, 33038])).
% 14.68/10.41 tff(33042,plain,
% 14.68/10.41 (until5(s319)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28188, 33041])).
% 14.68/10.41 tff(33043,plain,
% 14.68/10.41 (~node4(s319)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28192, 36, 32991])).
% 14.68/10.41 tff(33044,plain,
% 14.68/10.41 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28199, 294, 33043])).
% 14.68/10.41 tff(33045,plain,
% 14.68/10.41 (xuntil6(s319)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33044, 33042])).
% 14.68/10.41 tff(33046,plain,
% 14.68/10.41 (until5(s320)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28205, 33045])).
% 14.68/10.41 tff(33047,plain,
% 14.68/10.41 (~node4(s320)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28209, 36, 32990])).
% 14.68/10.41 tff(33048,plain,
% 14.68/10.41 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28216, 294, 33047])).
% 14.68/10.41 tff(33049,plain,
% 14.68/10.41 (xuntil6(s320)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33048, 33046])).
% 14.68/10.41 tff(33050,plain,
% 14.68/10.41 (until5(s321)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28222, 33049])).
% 14.68/10.41 tff(33051,plain,
% 14.68/10.41 (~node4(s321)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28226, 36, 32989])).
% 14.68/10.41 tff(33052,plain,
% 14.68/10.41 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28233, 294, 33051])).
% 14.68/10.41 tff(33053,plain,
% 14.68/10.41 (xuntil6(s321)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33052, 33050])).
% 14.68/10.41 tff(33054,plain,
% 14.68/10.41 (until5(s322)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28239, 33053])).
% 14.68/10.41 tff(33055,plain,
% 14.68/10.41 (~node4(s322)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28243, 36, 32988])).
% 14.68/10.41 tff(33056,plain,
% 14.68/10.41 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28250, 294, 33055])).
% 14.68/10.41 tff(33057,plain,
% 14.68/10.41 (xuntil6(s322)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33056, 33054])).
% 14.68/10.41 tff(33058,plain,
% 14.68/10.41 (until5(s323)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28256, 33057])).
% 14.68/10.41 tff(33059,plain,
% 14.68/10.41 (~node4(s323)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28260, 36, 32987])).
% 14.68/10.41 tff(33060,plain,
% 14.68/10.41 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28267, 294, 33059])).
% 14.68/10.41 tff(33061,plain,
% 14.68/10.41 (xuntil6(s323)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33060, 33058])).
% 14.68/10.41 tff(33062,plain,
% 14.68/10.41 (until5(s324)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28273, 33061])).
% 14.68/10.41 tff(33063,plain,
% 14.68/10.41 (~node4(s324)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28277, 36, 32986])).
% 14.68/10.41 tff(33064,plain,
% 14.68/10.41 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28284, 294, 33063])).
% 14.68/10.41 tff(33065,plain,
% 14.68/10.41 (xuntil6(s324)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33064, 33062])).
% 14.68/10.41 tff(33066,plain,
% 14.68/10.41 (until5(s325)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28290, 33065])).
% 14.68/10.41 tff(33067,plain,
% 14.68/10.41 (~node4(s325)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28294, 36, 32985])).
% 14.68/10.41 tff(33068,plain,
% 14.68/10.41 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28301, 294, 33067])).
% 14.68/10.41 tff(33069,plain,
% 14.68/10.41 (xuntil6(s325)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33068, 33066])).
% 14.68/10.41 tff(33070,plain,
% 14.68/10.41 (until5(s326)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28307, 33069])).
% 14.68/10.41 tff(33071,plain,
% 14.68/10.41 (~node4(s326)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28311, 36, 32984])).
% 14.68/10.41 tff(33072,plain,
% 14.68/10.41 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28318, 294, 33071])).
% 14.68/10.41 tff(33073,plain,
% 14.68/10.41 (xuntil6(s326)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33072, 33070])).
% 14.68/10.41 tff(33074,plain,
% 14.68/10.41 (until5(s327)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28324, 33073])).
% 14.68/10.41 tff(33075,plain,
% 14.68/10.41 (~node4(s327)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28328, 36, 32983])).
% 14.68/10.41 tff(33076,plain,
% 14.68/10.41 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28335, 294, 33075])).
% 14.68/10.41 tff(33077,plain,
% 14.68/10.41 (xuntil6(s327)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33076, 33074])).
% 14.68/10.41 tff(33078,plain,
% 14.68/10.41 (until5(s328)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28341, 33077])).
% 14.68/10.41 tff(33079,plain,
% 14.68/10.41 (~node4(s328)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28345, 36, 32982])).
% 14.68/10.41 tff(33080,plain,
% 14.68/10.41 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28352, 294, 33079])).
% 14.68/10.41 tff(33081,plain,
% 14.68/10.41 (xuntil6(s328)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33080, 33078])).
% 14.68/10.41 tff(33082,plain,
% 14.68/10.41 (until5(s329)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28358, 33081])).
% 14.68/10.41 tff(33083,plain,
% 14.68/10.41 (~node4(s329)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28362, 36, 32981])).
% 14.68/10.41 tff(33084,plain,
% 14.68/10.41 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28369, 294, 33083])).
% 14.68/10.41 tff(33085,plain,
% 14.68/10.41 (xuntil6(s329)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33084, 33082])).
% 14.68/10.41 tff(33086,plain,
% 14.68/10.41 (until5(s330)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28375, 33085])).
% 14.68/10.41 tff(33087,plain,
% 14.68/10.41 (~node4(s330)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28379, 36, 32980])).
% 14.68/10.41 tff(33088,plain,
% 14.68/10.41 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28386, 294, 33087])).
% 14.68/10.41 tff(33089,plain,
% 14.68/10.41 (xuntil6(s330)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33088, 33086])).
% 14.68/10.41 tff(33090,plain,
% 14.68/10.41 (until5(s331)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28392, 33089])).
% 14.68/10.41 tff(33091,plain,
% 14.68/10.41 (~node4(s331)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28396, 36, 32979])).
% 14.68/10.41 tff(33092,plain,
% 14.68/10.41 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28403, 294, 33091])).
% 14.68/10.41 tff(33093,plain,
% 14.68/10.41 (xuntil6(s331)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33092, 33090])).
% 14.68/10.41 tff(33094,plain,
% 14.68/10.41 (until5(s332)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28409, 33093])).
% 14.68/10.41 tff(33095,plain,
% 14.68/10.41 (~node4(s332)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28413, 36, 32978])).
% 14.68/10.41 tff(33096,plain,
% 14.68/10.41 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[28420, 294, 33095])).
% 14.68/10.41 tff(33097,plain,
% 14.68/10.41 ($false),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33096, 33094, 32977])).
% 14.68/10.41 tff(33098,plain,(always3(s355) | (~until5(s308)) | xuntil6(s355)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.41 tff(33099,plain,
% 14.68/10.41 (always3(s355)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33098, 32866, 26199])).
% 14.68/10.41 tff(33100,plain,
% 14.68/10.41 (always3(s356)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[27387, 33099])).
% 14.68/10.41 tff(33101,plain,
% 14.68/10.41 (~m_main_v_state(s356, c_busy)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[32760, 85, 33100])).
% 14.68/10.41 tff(33102,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s355, s356)) | node2(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s355, s356)) | node2(s355, s356))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(33103,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s355, s356)) | node2(s355, s356))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(33104,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s355, s356)) | node2(s355, s356)),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 14.68/10.41 tff(33105,plain,
% 14.68/10.41 (node2(s355, s356)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33104, 7, 27383])).
% 14.68/10.41 tff(33106,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s355, c_ready)) | (~node2(s355, s356)) | m_main_v_state(s356, c_busy) | (~m_main_v_request(s355)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s355, c_ready)) | (~node2(s355, s356)) | m_main_v_state(s356, c_busy) | (~m_main_v_request(s355)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(33107,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s355, c_ready)) | (~node2(s355, s356)) | m_main_v_state(s356, c_busy) | (~m_main_v_request(s355)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(33108,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s355, c_ready)) | (~node2(s355, s356)) | m_main_v_state(s356, c_busy) | (~m_main_v_request(s355))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[33107, 33106])).
% 14.68/10.41 tff(33109,plain,
% 14.68/10.41 ((~m_main_v_state(s355, c_ready)) | m_main_v_state(s356, c_busy) | (~m_main_v_request(s355))),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33108, 73, 33105])).
% 14.68/10.41 tff(33110,plain,
% 14.68/10.41 (~m_main_v_state(s355, c_ready)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33109, 33101, 32873])).
% 14.68/10.41 tff(33111,assumption,(~m_main_v_state(s355, c_busy)), introduced(assumption)).
% 14.68/10.41 tff(33112,assumption,(~m_main_v_state(s355, c_ready)), introduced(assumption)).
% 14.68/10.41 tff(33113,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s354, s355)) | node2(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s354, s355)) | node2(s354, s355))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(33114,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s354, s355)) | node2(s354, s355))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(33115,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s354, s355)) | node2(s354, s355)),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[33114, 33113])).
% 14.68/10.41 tff(33116,plain,
% 14.68/10.41 (node2(s354, s355)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33115, 7, 27412])).
% 14.68/10.41 tff(33117,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s354, s355)) | m_main_v_state(s355, c_busy) | node1(s354) | m_main_v_state(s355, 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(s354, s355)) | m_main_v_state(s355, c_busy) | node1(s354) | m_main_v_state(s355, c_ready))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(33118,plain,
% 14.68/10.41 ((node1(s354) | m_main_v_state(s355, c_ready) | (~node2(s354, s355)) | m_main_v_state(s355, c_busy)) <=> ((~node2(s354, s355)) | m_main_v_state(s355, c_busy) | node1(s354) | m_main_v_state(s355, c_ready))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(33119,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s354) | m_main_v_state(s355, c_ready) | (~node2(s354, s355)) | m_main_v_state(s355, 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(s354, s355)) | m_main_v_state(s355, c_busy) | node1(s354) | m_main_v_state(s355, c_ready)))),
% 14.68/10.41 inference(monotonicity,[status(thm)],[33118])).
% 14.68/10.41 tff(33120,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s354) | m_main_v_state(s355, c_ready) | (~node2(s354, s355)) | m_main_v_state(s355, 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(s354, s355)) | m_main_v_state(s355, c_busy) | node1(s354) | m_main_v_state(s355, c_ready))),
% 14.68/10.41 inference(transitivity,[status(thm)],[33119, 33117])).
% 14.68/10.41 tff(33121,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s354) | m_main_v_state(s355, c_ready) | (~node2(s354, s355)) | m_main_v_state(s355, c_busy))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(33122,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s354, s355)) | m_main_v_state(s355, c_busy) | node1(s354) | m_main_v_state(s355, c_ready)),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[33121, 33120])).
% 14.68/10.41 tff(33123,plain,
% 14.68/10.41 (m_main_v_state(s355, c_busy) | node1(s354) | m_main_v_state(s355, c_ready)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33122, 3551, 33116])).
% 14.68/10.41 tff(33124,plain,
% 14.68/10.41 (node1(s354)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33123, 33111, 33112])).
% 14.68/10.41 tff(33125,plain,
% 14.68/10.41 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s354, c_ready) | (~node1(s354)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s354, c_ready) | (~node1(s354)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(33126,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s354, c_ready) | (~node1(s354)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(33127,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s354, c_ready) | (~node1(s354))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[33126, 33125])).
% 14.68/10.41 tff(33128,plain,
% 14.68/10.41 (m_main_v_state(s354, c_ready)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33127, 3581, 33124])).
% 14.68/10.41 tff(33129,plain,
% 14.68/10.41 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s354) | (~node1(s354)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s354) | (~node1(s354)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(33130,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s354) | (~node1(s354)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.41 tff(33131,plain,
% 14.68/10.41 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s354) | (~node1(s354))),
% 14.68/10.41 inference(modus_ponens,[status(thm)],[33130, 33129])).
% 14.68/10.41 tff(33132,plain,
% 14.68/10.41 (m_main_v_request(s354)),
% 14.68/10.41 inference(unit_resolution,[status(thm)],[33131, 3568, 33124])).
% 14.68/10.41 tff(33133,plain,
% 14.68/10.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s354, c_ready)) | (~node2(s354, s355)) | m_main_v_state(s355, c_busy) | (~m_main_v_request(s354)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s354, c_ready)) | (~node2(s354, s355)) | m_main_v_state(s355, c_busy) | (~m_main_v_request(s354)))),
% 14.68/10.41 inference(rewrite,[status(thm)],[])).
% 14.68/10.41 tff(33134,plain,
% 14.68/10.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s354, c_ready)) | (~node2(s354, s355)) | m_main_v_state(s355, c_busy) | (~m_main_v_request(s354)))),
% 14.68/10.41 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33135,plain,
% 14.68/10.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s354, c_ready)) | (~node2(s354, s355)) | m_main_v_state(s355, c_busy) | (~m_main_v_request(s354))),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33134, 33133])).
% 14.68/10.42 tff(33136,plain,
% 14.68/10.42 ((~m_main_v_state(s354, c_ready)) | m_main_v_state(s355, c_busy) | (~m_main_v_request(s354))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33135, 73, 33116])).
% 14.68/10.42 tff(33137,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33136, 33132, 33128, 33111])).
% 14.68/10.42 tff(33138,plain,(m_main_v_state(s355, c_busy) | m_main_v_state(s355, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33139,plain,
% 14.68/10.42 (m_main_v_state(s355, c_busy)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33138, 33110])).
% 14.68/10.42 tff(33140,plain,
% 14.68/10.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s355)) | (~m_main_v_state(s355, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s355)) | (~m_main_v_state(s355, c_busy)))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33141,plain,
% 14.68/10.42 (((~m_main_v_state(s355, c_busy)) | (~always3(s355))) <=> ((~always3(s355)) | (~m_main_v_state(s355, c_busy)))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33142,plain,
% 14.68/10.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s355, c_busy)) | (~always3(s355)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s355)) | (~m_main_v_state(s355, c_busy))))),
% 14.68/10.42 inference(monotonicity,[status(thm)],[33141])).
% 14.68/10.42 tff(33143,plain,
% 14.68/10.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s355, c_busy)) | (~always3(s355)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s355)) | (~m_main_v_state(s355, c_busy)))),
% 14.68/10.42 inference(transitivity,[status(thm)],[33142, 33140])).
% 14.68/10.42 tff(33144,plain,
% 14.68/10.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s355, c_busy)) | (~always3(s355)))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33145,plain,
% 14.68/10.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s355)) | (~m_main_v_state(s355, c_busy))),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33144, 33143])).
% 14.68/10.42 tff(33146,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33145, 85, 33099, 33139])).
% 14.68/10.42 tff(33147,plain,(xuntil6(s355) | (~until5(s355)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33148,plain,
% 14.68/10.42 (~until5(s355)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33147, 32866, 26199])).
% 14.68/10.42 tff(33149,plain,
% 14.68/10.42 (~xuntil6(s354)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27407, 33148])).
% 14.68/10.42 tff(33150,assumption,(until5(s354)), introduced(assumption)).
% 14.68/10.42 tff(33151,plain,
% 14.68/10.42 (xuntil6(s354) | node4(s354)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27427, 294, 33150])).
% 14.68/10.42 tff(33152,plain,
% 14.68/10.42 (node4(s354)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33151, 33149])).
% 14.68/10.42 tff(33153,assumption,(node4(s354)), introduced(assumption)).
% 14.68/10.42 tff(33154,plain,
% 14.68/10.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s354) | (~node4(s354)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s354) | (~node4(s354)))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33155,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s354) | (~node4(s354)))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33156,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s354) | (~node4(s354))),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33155, 33154])).
% 14.68/10.42 tff(33157,plain,
% 14.68/10.42 (m_main_v_request(s354)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33156, 21, 33153])).
% 14.68/10.42 tff(33158,plain,
% 14.68/10.42 (~m_main_v_state(s354, c_ready)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33136, 33157, 33111])).
% 14.68/10.42 tff(33159,plain,
% 14.68/10.42 (always3(s354)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27420, 36, 33153])).
% 14.68/10.42 tff(33160,plain,
% 14.68/10.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s354)) | (~m_main_v_state(s354, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s354)) | (~m_main_v_state(s354, c_busy)))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33161,plain,
% 14.68/10.42 (((~m_main_v_state(s354, c_busy)) | (~always3(s354))) <=> ((~always3(s354)) | (~m_main_v_state(s354, c_busy)))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33162,plain,
% 14.68/10.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s354, c_busy)) | (~always3(s354)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s354)) | (~m_main_v_state(s354, c_busy))))),
% 14.68/10.42 inference(monotonicity,[status(thm)],[33161])).
% 14.68/10.42 tff(33163,plain,
% 14.68/10.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s354, c_busy)) | (~always3(s354)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s354)) | (~m_main_v_state(s354, c_busy)))),
% 14.68/10.42 inference(transitivity,[status(thm)],[33162, 33160])).
% 14.68/10.42 tff(33164,plain,
% 14.68/10.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s354, c_busy)) | (~always3(s354)))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33165,plain,
% 14.68/10.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s354)) | (~m_main_v_state(s354, c_busy))),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33164, 33163])).
% 14.68/10.42 tff(33166,plain,
% 14.68/10.42 (~m_main_v_state(s354, c_busy)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33165, 85, 33159])).
% 14.68/10.42 tff(33167,plain,
% 14.68/10.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s354, c_busy) | m_main_v_state(s354, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s354, c_busy) | m_main_v_state(s354, c_ready))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33168,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s354, c_busy) | m_main_v_state(s354, c_ready))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33169,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s354, c_busy) | m_main_v_state(s354, c_ready)),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33168, 33167])).
% 14.68/10.42 tff(33170,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33169, 102, 33166, 33158])).
% 14.68/10.42 tff(33171,plain,((~node4(s354)) | m_main_v_state(s355, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33172,plain,
% 14.68/10.42 (m_main_v_state(s355, c_busy)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33171, 33152])).
% 14.68/10.42 tff(33173,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33145, 85, 33099, 33172])).
% 14.68/10.42 tff(33174,plain,(xuntil6(s355) | (~until5(s354)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33175,plain,
% 14.68/10.42 (~until5(s354)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33174, 32865, 31976])).
% 14.68/10.42 tff(33176,plain,
% 14.68/10.42 (~xuntil6(s353)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27436, 33175])).
% 14.68/10.42 tff(33177,assumption,(~xuntil6(s353)), introduced(assumption)).
% 14.68/10.42 tff(33178,assumption,(~always3(s353)), introduced(assumption)).
% 14.68/10.42 tff(33179,plain,
% 14.68/10.42 (~always3(s352)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27474, 33178])).
% 14.68/10.42 tff(33180,plain,
% 14.68/10.42 (~always3(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27486, 33179])).
% 14.68/10.42 tff(33181,plain,
% 14.68/10.42 (~node4(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28736, 36, 33180])).
% 14.68/10.42 tff(33182,plain,
% 14.68/10.42 (~node4(s353)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27449, 36, 33178])).
% 14.68/10.42 tff(33183,plain,
% 14.68/10.42 (node4(s353) | (~until5(s353))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27456, 294, 33177])).
% 14.68/10.42 tff(33184,plain,
% 14.68/10.42 (~until5(s353)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33183, 33182])).
% 14.68/10.42 tff(33185,plain,
% 14.68/10.42 (~xuntil6(s352)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27465, 33184])).
% 14.68/10.42 tff(33186,plain,
% 14.68/10.42 (~until5(s352)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[32263, 33185])).
% 14.68/10.42 tff(33187,plain,
% 14.68/10.42 (~xuntil6(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28749, 33186])).
% 14.68/10.42 tff(33188,plain,
% 14.68/10.42 (~until5(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28743, 294, 33187, 33181])).
% 14.68/10.42 tff(33189,plain,
% 14.68/10.42 (~xuntil6(s350)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28732, 33188])).
% 14.68/10.42 tff(33190,plain,
% 14.68/10.42 (~until5(s350)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29024, 33189])).
% 14.68/10.42 tff(33191,plain,
% 14.68/10.42 (~xuntil6(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28715, 33190])).
% 14.68/10.42 tff(33192,plain,
% 14.68/10.42 (~always3(s350)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27498, 33180])).
% 14.68/10.42 tff(33193,plain,
% 14.68/10.42 (~always3(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27510, 33192])).
% 14.68/10.42 tff(33194,plain,
% 14.68/10.42 (~node4(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28702, 36, 33193])).
% 14.68/10.42 tff(33195,plain,
% 14.68/10.42 (xuntil6(s349) | (~until5(s349))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28709, 294, 33194])).
% 14.68/10.42 tff(33196,plain,
% 14.68/10.42 (~until5(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33195, 33191])).
% 14.68/10.42 tff(33197,plain,
% 14.68/10.42 (~xuntil6(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28698, 33196])).
% 14.68/10.42 tff(33198,plain,
% 14.68/10.42 (~always3(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27522, 33193])).
% 14.68/10.42 tff(33199,plain,
% 14.68/10.42 (~node4(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28685, 36, 33198])).
% 14.68/10.42 tff(33200,plain,
% 14.68/10.42 (xuntil6(s348) | (~until5(s348))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28692, 294, 33199])).
% 14.68/10.42 tff(33201,plain,
% 14.68/10.42 (~until5(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33200, 33197])).
% 14.68/10.42 tff(33202,plain,
% 14.68/10.42 (~xuntil6(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28681, 33201])).
% 14.68/10.42 tff(33203,plain,
% 14.68/10.42 (~always3(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27534, 33198])).
% 14.68/10.42 tff(33204,plain,
% 14.68/10.42 (~node4(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28668, 36, 33203])).
% 14.68/10.42 tff(33205,plain,
% 14.68/10.42 (xuntil6(s347) | (~until5(s347))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28675, 294, 33204])).
% 14.68/10.42 tff(33206,plain,
% 14.68/10.42 (~until5(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33205, 33202])).
% 14.68/10.42 tff(33207,plain,
% 14.68/10.42 (~xuntil6(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28664, 33206])).
% 14.68/10.42 tff(33208,plain,
% 14.68/10.42 (~always3(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27546, 33203])).
% 14.68/10.42 tff(33209,plain,
% 14.68/10.42 (~node4(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28651, 36, 33208])).
% 14.68/10.42 tff(33210,plain,
% 14.68/10.42 (xuntil6(s346) | (~until5(s346))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28658, 294, 33209])).
% 14.68/10.42 tff(33211,plain,
% 14.68/10.42 (~until5(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33210, 33207])).
% 14.68/10.42 tff(33212,plain,
% 14.68/10.42 (~xuntil6(s345)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28647, 33211])).
% 14.68/10.42 tff(33213,plain,
% 14.68/10.42 (~always3(s345)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27558, 33208])).
% 14.68/10.42 tff(33214,plain,
% 14.68/10.42 (~node4(s345)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28634, 36, 33213])).
% 14.68/10.42 tff(33215,plain,
% 14.68/10.42 (xuntil6(s345) | (~until5(s345))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28641, 294, 33214])).
% 14.68/10.42 tff(33216,plain,
% 14.68/10.42 (~until5(s345)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33215, 33212])).
% 14.68/10.42 tff(33217,plain,
% 14.68/10.42 (~xuntil6(s344)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28630, 33216])).
% 14.68/10.42 tff(33218,plain,
% 14.68/10.42 (~until5(s344)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29086, 33217])).
% 14.68/10.42 tff(33219,plain,
% 14.68/10.42 (~xuntil6(s343)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28613, 33218])).
% 14.68/10.42 tff(33220,plain,
% 14.68/10.42 (~always3(s344)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27570, 33213])).
% 14.68/10.42 tff(33221,plain,
% 14.68/10.42 (~always3(s343)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27582, 33220])).
% 14.68/10.42 tff(33222,plain,
% 14.68/10.42 (~node4(s343)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28600, 36, 33221])).
% 14.68/10.42 tff(33223,plain,
% 14.68/10.42 (xuntil6(s343) | (~until5(s343))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28607, 294, 33222])).
% 14.68/10.42 tff(33224,plain,
% 14.68/10.42 (~until5(s343)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33223, 33219])).
% 14.68/10.42 tff(33225,plain,
% 14.68/10.42 (~xuntil6(s342)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28596, 33224])).
% 14.68/10.42 tff(33226,plain,
% 14.68/10.42 (~always3(s342)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27594, 33221])).
% 14.68/10.42 tff(33227,plain,
% 14.68/10.42 (~node4(s342)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28583, 36, 33226])).
% 14.68/10.42 tff(33228,plain,
% 14.68/10.42 (xuntil6(s342) | (~until5(s342))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28590, 294, 33227])).
% 14.68/10.42 tff(33229,plain,
% 14.68/10.42 (~until5(s342)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33228, 33225])).
% 14.68/10.42 tff(33230,plain,
% 14.68/10.42 (~xuntil6(s341)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28579, 33229])).
% 14.68/10.42 tff(33231,plain,
% 14.68/10.42 (~always3(s341)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27606, 33226])).
% 14.68/10.42 tff(33232,plain,
% 14.68/10.42 (~node4(s341)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28566, 36, 33231])).
% 14.68/10.42 tff(33233,plain,
% 14.68/10.42 (xuntil6(s341) | (~until5(s341))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28573, 294, 33232])).
% 14.68/10.42 tff(33234,plain,
% 14.68/10.42 (~until5(s341)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33233, 33230])).
% 14.68/10.42 tff(33235,plain,
% 14.68/10.42 (~xuntil6(s340)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28562, 33234])).
% 14.68/10.42 tff(33236,plain,
% 14.68/10.42 (~until5(s340)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29136, 33235])).
% 14.68/10.42 tff(33237,plain,
% 14.68/10.42 (~xuntil6(s339)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28545, 33236])).
% 14.68/10.42 tff(33238,plain,
% 14.68/10.42 (~until5(s339)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29193, 33237])).
% 14.68/10.42 tff(33239,plain,
% 14.68/10.42 (~xuntil6(s338)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28528, 33238])).
% 14.68/10.42 tff(33240,plain,
% 14.68/10.42 (~always3(s340)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27618, 33231])).
% 14.68/10.42 tff(33241,plain,
% 14.68/10.42 (~always3(s339)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27630, 33240])).
% 14.68/10.42 tff(33242,plain,
% 14.68/10.42 (~always3(s338)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27642, 33241])).
% 14.68/10.42 tff(33243,plain,
% 14.68/10.42 (~node4(s338)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28515, 36, 33242])).
% 14.68/10.42 tff(33244,plain,
% 14.68/10.42 (xuntil6(s338) | (~until5(s338))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28522, 294, 33243])).
% 14.68/10.42 tff(33245,plain,
% 14.68/10.42 (~until5(s338)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33244, 33239])).
% 14.68/10.42 tff(33246,plain,
% 14.68/10.42 (~xuntil6(s337)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28511, 33245])).
% 14.68/10.42 tff(33247,plain,
% 14.68/10.42 (~always3(s337)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27654, 33242])).
% 14.68/10.42 tff(33248,plain,
% 14.68/10.42 (~node4(s337)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28498, 36, 33247])).
% 14.68/10.42 tff(33249,plain,
% 14.68/10.42 (xuntil6(s337) | (~until5(s337))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28505, 294, 33248])).
% 14.68/10.42 tff(33250,plain,
% 14.68/10.42 (~until5(s337)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33249, 33246])).
% 14.68/10.42 tff(33251,plain,
% 14.68/10.42 (~xuntil6(s336)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28494, 33250])).
% 14.68/10.42 tff(33252,plain,
% 14.68/10.42 (~always3(s336)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27666, 33247])).
% 14.68/10.42 tff(33253,plain,
% 14.68/10.42 (~node4(s336)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28481, 36, 33252])).
% 14.68/10.42 tff(33254,plain,
% 14.68/10.42 (xuntil6(s336) | (~until5(s336))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28488, 294, 33253])).
% 14.68/10.42 tff(33255,plain,
% 14.68/10.42 (~until5(s336)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33254, 33251])).
% 14.68/10.42 tff(33256,plain,
% 14.68/10.42 (~xuntil6(s335)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28477, 33255])).
% 14.68/10.42 tff(33257,plain,
% 14.68/10.42 (~always3(s335)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27678, 33252])).
% 14.68/10.42 tff(33258,plain,
% 14.68/10.42 (~node4(s335)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28464, 36, 33257])).
% 14.68/10.42 tff(33259,plain,
% 14.68/10.42 (xuntil6(s335) | (~until5(s335))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28471, 294, 33258])).
% 14.68/10.42 tff(33260,plain,
% 14.68/10.42 (~until5(s335)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33259, 33256])).
% 14.68/10.42 tff(33261,plain,
% 14.68/10.42 (~xuntil6(s334)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28460, 33260])).
% 14.68/10.42 tff(33262,plain,
% 14.68/10.42 (~always3(s334)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27690, 33257])).
% 14.68/10.42 tff(33263,plain,
% 14.68/10.42 (~node4(s334)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28447, 36, 33262])).
% 14.68/10.42 tff(33264,plain,
% 14.68/10.42 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28454, 294, 33263])).
% 14.68/10.42 tff(33265,plain,
% 14.68/10.42 (~until5(s334)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33264, 33261])).
% 14.68/10.42 tff(33266,plain,
% 14.68/10.42 (~xuntil6(s333)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28443, 33265])).
% 14.68/10.42 tff(33267,plain,
% 14.68/10.42 (~always3(s333)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27702, 33262])).
% 14.68/10.42 tff(33268,plain,
% 14.68/10.42 (~node4(s333)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28430, 36, 33267])).
% 14.68/10.42 tff(33269,plain,
% 14.68/10.42 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28437, 294, 33268])).
% 14.68/10.42 tff(33270,plain,
% 14.68/10.42 (~until5(s333)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33269, 33266])).
% 14.68/10.42 tff(33271,plain,
% 14.68/10.42 (~xuntil6(s332)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28426, 33270])).
% 14.68/10.42 tff(33272,plain,
% 14.68/10.42 (~always3(s332)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27714, 33267])).
% 14.68/10.42 tff(33273,plain,
% 14.68/10.42 (~node4(s332)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28413, 36, 33272])).
% 14.68/10.42 tff(33274,plain,
% 14.68/10.42 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28420, 294, 33273])).
% 14.68/10.42 tff(33275,plain,
% 14.68/10.42 (~until5(s332)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33274, 33271])).
% 14.68/10.42 tff(33276,plain,
% 14.68/10.42 (~xuntil6(s331)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28409, 33275])).
% 14.68/10.42 tff(33277,plain,
% 14.68/10.42 (~always3(s331)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27726, 33272])).
% 14.68/10.42 tff(33278,plain,
% 14.68/10.42 (~node4(s331)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28396, 36, 33277])).
% 14.68/10.42 tff(33279,plain,
% 14.68/10.42 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28403, 294, 33278])).
% 14.68/10.42 tff(33280,plain,
% 14.68/10.42 (~until5(s331)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33279, 33276])).
% 14.68/10.42 tff(33281,plain,
% 14.68/10.42 (~always3(s330)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27738, 33277])).
% 14.68/10.42 tff(33282,plain,
% 14.68/10.42 (~always3(s329)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27750, 33281])).
% 14.68/10.42 tff(33283,plain,
% 14.68/10.42 (~always3(s328)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27762, 33282])).
% 14.68/10.42 tff(33284,plain,
% 14.68/10.42 (~always3(s327)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27774, 33283])).
% 14.68/10.42 tff(33285,plain,
% 14.68/10.42 (~always3(s326)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27786, 33284])).
% 14.68/10.42 tff(33286,plain,
% 14.68/10.42 (~always3(s325)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27798, 33285])).
% 14.68/10.42 tff(33287,plain,
% 14.68/10.42 (~always3(s324)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27810, 33286])).
% 14.68/10.42 tff(33288,plain,
% 14.68/10.42 (~always3(s323)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27822, 33287])).
% 14.68/10.42 tff(33289,plain,
% 14.68/10.42 (~always3(s322)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27834, 33288])).
% 14.68/10.42 tff(33290,plain,
% 14.68/10.42 (~always3(s321)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27846, 33289])).
% 14.68/10.42 tff(33291,plain,
% 14.68/10.42 (~always3(s320)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27858, 33290])).
% 14.68/10.42 tff(33292,plain,
% 14.68/10.42 (~always3(s319)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27870, 33291])).
% 14.68/10.42 tff(33293,plain,
% 14.68/10.42 (~always3(s318)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27882, 33292])).
% 14.68/10.42 tff(33294,plain,
% 14.68/10.42 (~always3(s317)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27894, 33293])).
% 14.68/10.42 tff(33295,plain,
% 14.68/10.42 (~always3(s316)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27906, 33294])).
% 14.68/10.42 tff(33296,plain,
% 14.68/10.42 (~always3(s315)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27918, 33295])).
% 14.68/10.42 tff(33297,plain,
% 14.68/10.42 (~always3(s314)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27930, 33296])).
% 14.68/10.42 tff(33298,plain,
% 14.68/10.42 (~always3(s313)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27942, 33297])).
% 14.68/10.42 tff(33299,plain,
% 14.68/10.42 (~always3(s312)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27954, 33298])).
% 14.68/10.42 tff(33300,plain,
% 14.68/10.42 (~always3(s311)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27966, 33299])).
% 14.68/10.42 tff(33301,plain,
% 14.68/10.42 (~always3(s310)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27978, 33300])).
% 14.68/10.42 tff(33302,plain,
% 14.68/10.42 (~node4(s310)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28039, 36, 33301])).
% 14.68/10.42 tff(33303,plain,
% 14.68/10.42 (~always3(s309)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27990, 33301])).
% 14.68/10.42 tff(33304,plain,
% 14.68/10.42 (~always3(s308)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28006, 33303])).
% 14.68/10.42 tff(33305,plain,
% 14.68/10.42 (~node4(s308)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28010, 36, 33304])).
% 14.68/10.42 tff(33306,plain,
% 14.68/10.42 (xuntil6(s308)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28018, 33305])).
% 14.68/10.42 tff(33307,plain,
% 14.68/10.42 (until5(s309)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28023, 33306])).
% 14.68/10.42 tff(33308,plain,
% 14.68/10.42 (xuntil6(s309)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28918, 33307])).
% 14.68/10.42 tff(33309,plain,
% 14.68/10.42 (until5(s310)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28035, 33308])).
% 14.68/10.42 tff(33310,plain,
% 14.68/10.42 (xuntil6(s310)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28046, 294, 33309, 33302])).
% 14.68/10.42 tff(33311,plain,
% 14.68/10.42 (until5(s311)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28052, 33310])).
% 14.68/10.42 tff(33312,plain,
% 14.68/10.42 (~node4(s311)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28056, 36, 33300])).
% 14.68/10.42 tff(33313,plain,
% 14.68/10.42 (xuntil6(s311) | (~until5(s311))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28063, 294, 33312])).
% 14.68/10.42 tff(33314,plain,
% 14.68/10.42 (xuntil6(s311)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33313, 33311])).
% 14.68/10.42 tff(33315,plain,
% 14.68/10.42 (until5(s312)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28069, 33314])).
% 14.68/10.42 tff(33316,plain,
% 14.68/10.42 (~node4(s312)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28073, 36, 33299])).
% 14.68/10.42 tff(33317,plain,
% 14.68/10.42 (xuntil6(s312) | (~until5(s312))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28080, 294, 33316])).
% 14.68/10.42 tff(33318,plain,
% 14.68/10.42 (xuntil6(s312)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33317, 33315])).
% 14.68/10.42 tff(33319,plain,
% 14.68/10.42 (until5(s313)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28086, 33318])).
% 14.68/10.42 tff(33320,plain,
% 14.68/10.42 (~node4(s313)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28090, 36, 33298])).
% 14.68/10.42 tff(33321,plain,
% 14.68/10.42 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28097, 294, 33320])).
% 14.68/10.42 tff(33322,plain,
% 14.68/10.42 (xuntil6(s313)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33321, 33319])).
% 14.68/10.42 tff(33323,plain,
% 14.68/10.42 (until5(s314)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28103, 33322])).
% 14.68/10.42 tff(33324,plain,
% 14.68/10.42 (~node4(s314)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28107, 36, 33297])).
% 14.68/10.42 tff(33325,plain,
% 14.68/10.42 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28114, 294, 33324])).
% 14.68/10.42 tff(33326,plain,
% 14.68/10.42 (xuntil6(s314)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33325, 33323])).
% 14.68/10.42 tff(33327,plain,
% 14.68/10.42 (until5(s315)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28120, 33326])).
% 14.68/10.42 tff(33328,plain,
% 14.68/10.42 (~node4(s315)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28124, 36, 33296])).
% 14.68/10.42 tff(33329,plain,
% 14.68/10.42 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28131, 294, 33328])).
% 14.68/10.42 tff(33330,plain,
% 14.68/10.42 (xuntil6(s315)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33329, 33327])).
% 14.68/10.42 tff(33331,plain,
% 14.68/10.42 (until5(s316)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28137, 33330])).
% 14.68/10.42 tff(33332,plain,
% 14.68/10.42 (~node4(s316)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28141, 36, 33295])).
% 14.68/10.42 tff(33333,plain,
% 14.68/10.42 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28148, 294, 33332])).
% 14.68/10.42 tff(33334,plain,
% 14.68/10.42 (xuntil6(s316)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33333, 33331])).
% 14.68/10.42 tff(33335,plain,
% 14.68/10.42 (until5(s317)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28154, 33334])).
% 14.68/10.42 tff(33336,plain,
% 14.68/10.42 (~node4(s317)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28158, 36, 33294])).
% 14.68/10.42 tff(33337,plain,
% 14.68/10.42 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28165, 294, 33336])).
% 14.68/10.42 tff(33338,plain,
% 14.68/10.42 (xuntil6(s317)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33337, 33335])).
% 14.68/10.42 tff(33339,plain,
% 14.68/10.42 (until5(s318)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28171, 33338])).
% 14.68/10.42 tff(33340,plain,
% 14.68/10.42 (~node4(s318)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28175, 36, 33293])).
% 14.68/10.42 tff(33341,plain,
% 14.68/10.42 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28182, 294, 33340])).
% 14.68/10.42 tff(33342,plain,
% 14.68/10.42 (xuntil6(s318)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33341, 33339])).
% 14.68/10.42 tff(33343,plain,
% 14.68/10.42 (until5(s319)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28188, 33342])).
% 14.68/10.42 tff(33344,plain,
% 14.68/10.42 (~node4(s319)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28192, 36, 33292])).
% 14.68/10.42 tff(33345,plain,
% 14.68/10.42 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28199, 294, 33344])).
% 14.68/10.42 tff(33346,plain,
% 14.68/10.42 (xuntil6(s319)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33345, 33343])).
% 14.68/10.42 tff(33347,plain,
% 14.68/10.42 (until5(s320)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28205, 33346])).
% 14.68/10.42 tff(33348,plain,
% 14.68/10.42 (~node4(s320)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28209, 36, 33291])).
% 14.68/10.42 tff(33349,plain,
% 14.68/10.42 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28216, 294, 33348])).
% 14.68/10.42 tff(33350,plain,
% 14.68/10.42 (xuntil6(s320)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33349, 33347])).
% 14.68/10.42 tff(33351,plain,
% 14.68/10.42 (until5(s321)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28222, 33350])).
% 14.68/10.42 tff(33352,plain,
% 14.68/10.42 (~node4(s321)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28226, 36, 33290])).
% 14.68/10.42 tff(33353,plain,
% 14.68/10.42 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28233, 294, 33352])).
% 14.68/10.42 tff(33354,plain,
% 14.68/10.42 (xuntil6(s321)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33353, 33351])).
% 14.68/10.42 tff(33355,plain,
% 14.68/10.42 (until5(s322)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28239, 33354])).
% 14.68/10.42 tff(33356,plain,
% 14.68/10.42 (~node4(s322)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28243, 36, 33289])).
% 14.68/10.42 tff(33357,plain,
% 14.68/10.42 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28250, 294, 33356])).
% 14.68/10.42 tff(33358,plain,
% 14.68/10.42 (xuntil6(s322)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33357, 33355])).
% 14.68/10.42 tff(33359,plain,
% 14.68/10.42 (until5(s323)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28256, 33358])).
% 14.68/10.42 tff(33360,plain,
% 14.68/10.42 (~node4(s323)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28260, 36, 33288])).
% 14.68/10.42 tff(33361,plain,
% 14.68/10.42 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28267, 294, 33360])).
% 14.68/10.42 tff(33362,plain,
% 14.68/10.42 (xuntil6(s323)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33361, 33359])).
% 14.68/10.42 tff(33363,plain,
% 14.68/10.42 (until5(s324)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28273, 33362])).
% 14.68/10.42 tff(33364,plain,
% 14.68/10.42 (~node4(s324)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28277, 36, 33287])).
% 14.68/10.42 tff(33365,plain,
% 14.68/10.42 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28284, 294, 33364])).
% 14.68/10.42 tff(33366,plain,
% 14.68/10.42 (xuntil6(s324)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33365, 33363])).
% 14.68/10.42 tff(33367,plain,
% 14.68/10.42 (until5(s325)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28290, 33366])).
% 14.68/10.42 tff(33368,plain,
% 14.68/10.42 (~node4(s325)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28294, 36, 33286])).
% 14.68/10.42 tff(33369,plain,
% 14.68/10.42 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28301, 294, 33368])).
% 14.68/10.42 tff(33370,plain,
% 14.68/10.42 (xuntil6(s325)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33369, 33367])).
% 14.68/10.42 tff(33371,plain,
% 14.68/10.42 (until5(s326)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28307, 33370])).
% 14.68/10.42 tff(33372,plain,
% 14.68/10.42 (~node4(s326)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28311, 36, 33285])).
% 14.68/10.42 tff(33373,plain,
% 14.68/10.42 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28318, 294, 33372])).
% 14.68/10.42 tff(33374,plain,
% 14.68/10.42 (xuntil6(s326)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33373, 33371])).
% 14.68/10.42 tff(33375,plain,
% 14.68/10.42 (until5(s327)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28324, 33374])).
% 14.68/10.42 tff(33376,plain,
% 14.68/10.42 (~node4(s327)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28328, 36, 33284])).
% 14.68/10.42 tff(33377,plain,
% 14.68/10.42 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28335, 294, 33376])).
% 14.68/10.42 tff(33378,plain,
% 14.68/10.42 (xuntil6(s327)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33377, 33375])).
% 14.68/10.42 tff(33379,plain,
% 14.68/10.42 (until5(s328)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28341, 33378])).
% 14.68/10.42 tff(33380,plain,
% 14.68/10.42 (~node4(s328)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28345, 36, 33283])).
% 14.68/10.42 tff(33381,plain,
% 14.68/10.42 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28352, 294, 33380])).
% 14.68/10.42 tff(33382,plain,
% 14.68/10.42 (xuntil6(s328)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33381, 33379])).
% 14.68/10.42 tff(33383,plain,
% 14.68/10.42 (until5(s329)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28358, 33382])).
% 14.68/10.42 tff(33384,plain,
% 14.68/10.42 (~node4(s329)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28362, 36, 33282])).
% 14.68/10.42 tff(33385,plain,
% 14.68/10.42 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28369, 294, 33384])).
% 14.68/10.42 tff(33386,plain,
% 14.68/10.42 (xuntil6(s329)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33385, 33383])).
% 14.68/10.42 tff(33387,plain,
% 14.68/10.42 (until5(s330)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28375, 33386])).
% 14.68/10.42 tff(33388,plain,
% 14.68/10.42 (~node4(s330)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28379, 36, 33281])).
% 14.68/10.42 tff(33389,plain,
% 14.68/10.42 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28386, 294, 33388])).
% 14.68/10.42 tff(33390,plain,
% 14.68/10.42 (xuntil6(s330)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33389, 33387])).
% 14.68/10.42 tff(33391,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28392, 33390, 33280])).
% 14.68/10.42 tff(33392,plain,(always3(s353) | (~until5(s308)) | xuntil6(s353)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33393,plain,
% 14.68/10.42 (always3(s353)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33392, 33177, 26199])).
% 14.68/10.42 tff(33394,plain,
% 14.68/10.42 (always3(s354)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27445, 33393])).
% 14.68/10.42 tff(33395,plain,
% 14.68/10.42 (~m_main_v_state(s354, c_busy)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33165, 85, 33394])).
% 14.68/10.42 tff(33396,assumption,(until5(s353)), introduced(assumption)).
% 14.68/10.42 tff(33397,plain,
% 14.68/10.42 (xuntil6(s353) | node4(s353)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27456, 294, 33396])).
% 14.68/10.42 tff(33398,plain,
% 14.68/10.42 (node4(s353)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33397, 33177])).
% 14.68/10.42 tff(33399,plain,
% 14.68/10.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s353) | (~node4(s353)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s353) | (~node4(s353)))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33400,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s353) | (~node4(s353)))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33401,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s353) | (~node4(s353))),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 14.68/10.42 tff(33402,plain,
% 14.68/10.42 (m_main_v_request(s353)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33401, 21, 33398])).
% 14.68/10.42 tff(33403,plain,
% 14.68/10.42 (~m_main_v_state(s353, c_busy)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[32215, 85, 33393])).
% 14.68/10.42 tff(33404,assumption,(~m_main_v_state(s353, c_ready)), introduced(assumption)).
% 14.68/10.42 tff(33405,assumption,(~m_main_v_state(s353, c_busy)), introduced(assumption)).
% 14.68/10.42 tff(33406,plain,
% 14.68/10.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s353, c_busy) | m_main_v_state(s353, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s353, c_busy) | m_main_v_state(s353, c_ready))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33407,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s353, c_busy) | m_main_v_state(s353, c_ready))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33408,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s353, c_busy) | m_main_v_state(s353, c_ready)),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 14.68/10.42 tff(33409,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33408, 102, 33405, 33404])).
% 14.68/10.42 tff(33410,plain,(m_main_v_state(s353, c_ready) | m_main_v_state(s353, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33411,plain,
% 14.68/10.42 (m_main_v_state(s353, c_ready)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33410, 33403])).
% 14.68/10.42 tff(33412,plain,
% 14.68/10.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s353, s354)) | node2(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s353, s354)) | node2(s353, s354))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33413,plain,
% 14.68/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s353, s354)) | node2(s353, s354))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33414,plain,
% 14.68/10.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s353, s354)) | node2(s353, s354)),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33413, 33412])).
% 14.68/10.42 tff(33415,plain,
% 14.68/10.42 (node2(s353, s354)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33414, 7, 27441])).
% 14.68/10.42 tff(33416,plain,
% 14.68/10.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s353, c_ready)) | (~node2(s353, s354)) | m_main_v_state(s354, c_busy) | (~m_main_v_request(s353)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s353, c_ready)) | (~node2(s353, s354)) | m_main_v_state(s354, c_busy) | (~m_main_v_request(s353)))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33417,plain,
% 14.68/10.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s353, c_ready)) | (~node2(s353, s354)) | m_main_v_state(s354, c_busy) | (~m_main_v_request(s353)))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33418,plain,
% 14.68/10.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s353, c_ready)) | (~node2(s353, s354)) | m_main_v_state(s354, c_busy) | (~m_main_v_request(s353))),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33417, 33416])).
% 14.68/10.42 tff(33419,plain,
% 14.68/10.42 ((~m_main_v_state(s353, c_ready)) | m_main_v_state(s354, c_busy) | (~m_main_v_request(s353))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33418, 73, 33415])).
% 14.68/10.42 tff(33420,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33419, 33411, 33402, 33395])).
% 14.68/10.42 tff(33421,plain,(xuntil6(s353) | (~until5(s353)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33422,plain,
% 14.68/10.42 (~until5(s353)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33421, 33176, 31976])).
% 14.68/10.42 tff(33423,plain,
% 14.68/10.42 (~xuntil6(s352)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27465, 33422])).
% 14.68/10.42 tff(33424,plain,
% 14.68/10.42 (~until5(s352)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[32263, 33423])).
% 14.68/10.42 tff(33425,plain,
% 14.68/10.42 (~xuntil6(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28749, 33424])).
% 14.68/10.42 tff(33426,assumption,(~xuntil6(s351)), introduced(assumption)).
% 14.68/10.42 tff(33427,assumption,(~always3(s351)), introduced(assumption)).
% 14.68/10.42 tff(33428,plain,
% 14.68/10.42 (~always3(s350)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27498, 33427])).
% 14.68/10.42 tff(33429,plain,
% 14.68/10.42 (~always3(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27510, 33428])).
% 14.68/10.42 tff(33430,plain,
% 14.68/10.42 (~node4(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28702, 36, 33429])).
% 14.68/10.42 tff(33431,plain,
% 14.68/10.42 (~node4(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28736, 36, 33427])).
% 14.68/10.42 tff(33432,plain,
% 14.68/10.42 (node4(s351) | (~until5(s351))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28743, 294, 33426])).
% 14.68/10.42 tff(33433,plain,
% 14.68/10.42 (~until5(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33432, 33431])).
% 14.68/10.42 tff(33434,plain,
% 14.68/10.42 (~xuntil6(s350)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28732, 33433])).
% 14.68/10.42 tff(33435,plain,
% 14.68/10.42 (~until5(s350)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29024, 33434])).
% 14.68/10.42 tff(33436,plain,
% 14.68/10.42 (~xuntil6(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28715, 33435])).
% 14.68/10.42 tff(33437,plain,
% 14.68/10.42 (~until5(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28709, 294, 33436, 33430])).
% 14.68/10.42 tff(33438,plain,
% 14.68/10.42 (~xuntil6(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28698, 33437])).
% 14.68/10.42 tff(33439,plain,
% 14.68/10.42 (~always3(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27522, 33429])).
% 14.68/10.42 tff(33440,plain,
% 14.68/10.42 (~node4(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28685, 36, 33439])).
% 14.68/10.42 tff(33441,plain,
% 14.68/10.42 (xuntil6(s348) | (~until5(s348))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28692, 294, 33440])).
% 14.68/10.42 tff(33442,plain,
% 14.68/10.42 (~until5(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33441, 33438])).
% 14.68/10.42 tff(33443,plain,
% 14.68/10.42 (~xuntil6(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28681, 33442])).
% 14.68/10.42 tff(33444,plain,
% 14.68/10.42 (~always3(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27534, 33439])).
% 14.68/10.42 tff(33445,plain,
% 14.68/10.42 (~node4(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28668, 36, 33444])).
% 14.68/10.42 tff(33446,plain,
% 14.68/10.42 (xuntil6(s347) | (~until5(s347))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28675, 294, 33445])).
% 14.68/10.42 tff(33447,plain,
% 14.68/10.42 (~until5(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33446, 33443])).
% 14.68/10.42 tff(33448,plain,
% 14.68/10.42 (~xuntil6(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28664, 33447])).
% 14.68/10.42 tff(33449,plain,
% 14.68/10.42 (~always3(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27546, 33444])).
% 14.68/10.42 tff(33450,plain,
% 14.68/10.42 (~node4(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28651, 36, 33449])).
% 14.68/10.42 tff(33451,plain,
% 14.68/10.42 (xuntil6(s346) | (~until5(s346))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28658, 294, 33450])).
% 14.68/10.42 tff(33452,plain,
% 14.68/10.42 (~until5(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33451, 33448])).
% 14.68/10.42 tff(33453,plain,
% 14.68/10.42 (~xuntil6(s345)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28647, 33452])).
% 14.68/10.42 tff(33454,plain,
% 14.68/10.42 (~always3(s345)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27558, 33449])).
% 14.68/10.42 tff(33455,plain,
% 14.68/10.42 (~node4(s345)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28634, 36, 33454])).
% 14.68/10.42 tff(33456,plain,
% 14.68/10.42 (xuntil6(s345) | (~until5(s345))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28641, 294, 33455])).
% 14.68/10.42 tff(33457,plain,
% 14.68/10.42 (~until5(s345)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33456, 33453])).
% 14.68/10.42 tff(33458,plain,
% 14.68/10.42 (~xuntil6(s344)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28630, 33457])).
% 14.68/10.42 tff(33459,plain,
% 14.68/10.42 (~until5(s344)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29086, 33458])).
% 14.68/10.42 tff(33460,plain,
% 14.68/10.42 (~xuntil6(s343)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28613, 33459])).
% 14.68/10.42 tff(33461,plain,
% 14.68/10.42 (~always3(s344)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27570, 33454])).
% 14.68/10.42 tff(33462,plain,
% 14.68/10.42 (~always3(s343)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27582, 33461])).
% 14.68/10.42 tff(33463,plain,
% 14.68/10.42 (~node4(s343)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28600, 36, 33462])).
% 14.68/10.42 tff(33464,plain,
% 14.68/10.42 (xuntil6(s343) | (~until5(s343))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28607, 294, 33463])).
% 14.68/10.42 tff(33465,plain,
% 14.68/10.42 (~until5(s343)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33464, 33460])).
% 14.68/10.42 tff(33466,plain,
% 14.68/10.42 (~xuntil6(s342)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28596, 33465])).
% 14.68/10.42 tff(33467,plain,
% 14.68/10.42 (~always3(s342)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27594, 33462])).
% 14.68/10.42 tff(33468,plain,
% 14.68/10.42 (~node4(s342)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28583, 36, 33467])).
% 14.68/10.42 tff(33469,plain,
% 14.68/10.42 (xuntil6(s342) | (~until5(s342))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28590, 294, 33468])).
% 14.68/10.42 tff(33470,plain,
% 14.68/10.42 (~until5(s342)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33469, 33466])).
% 14.68/10.42 tff(33471,plain,
% 14.68/10.42 (~xuntil6(s341)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28579, 33470])).
% 14.68/10.42 tff(33472,plain,
% 14.68/10.42 (~always3(s341)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27606, 33467])).
% 14.68/10.42 tff(33473,plain,
% 14.68/10.42 (~node4(s341)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28566, 36, 33472])).
% 14.68/10.42 tff(33474,plain,
% 14.68/10.42 (xuntil6(s341) | (~until5(s341))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28573, 294, 33473])).
% 14.68/10.42 tff(33475,plain,
% 14.68/10.42 (~until5(s341)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33474, 33471])).
% 14.68/10.42 tff(33476,plain,
% 14.68/10.42 (~xuntil6(s340)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28562, 33475])).
% 14.68/10.42 tff(33477,plain,
% 14.68/10.42 (~until5(s340)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29136, 33476])).
% 14.68/10.42 tff(33478,plain,
% 14.68/10.42 (~xuntil6(s339)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28545, 33477])).
% 14.68/10.42 tff(33479,plain,
% 14.68/10.42 (~until5(s339)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29193, 33478])).
% 14.68/10.42 tff(33480,plain,
% 14.68/10.42 (~xuntil6(s338)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28528, 33479])).
% 14.68/10.42 tff(33481,plain,
% 14.68/10.42 (~always3(s340)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27618, 33472])).
% 14.68/10.42 tff(33482,plain,
% 14.68/10.42 (~always3(s339)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27630, 33481])).
% 14.68/10.42 tff(33483,plain,
% 14.68/10.42 (~always3(s338)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27642, 33482])).
% 14.68/10.42 tff(33484,plain,
% 14.68/10.42 (~node4(s338)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28515, 36, 33483])).
% 14.68/10.42 tff(33485,plain,
% 14.68/10.42 (xuntil6(s338) | (~until5(s338))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28522, 294, 33484])).
% 14.68/10.42 tff(33486,plain,
% 14.68/10.42 (~until5(s338)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33485, 33480])).
% 14.68/10.42 tff(33487,plain,
% 14.68/10.42 (~xuntil6(s337)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28511, 33486])).
% 14.68/10.42 tff(33488,plain,
% 14.68/10.42 (~always3(s337)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27654, 33483])).
% 14.68/10.42 tff(33489,plain,
% 14.68/10.42 (~node4(s337)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28498, 36, 33488])).
% 14.68/10.42 tff(33490,plain,
% 14.68/10.42 (xuntil6(s337) | (~until5(s337))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28505, 294, 33489])).
% 14.68/10.42 tff(33491,plain,
% 14.68/10.42 (~until5(s337)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33490, 33487])).
% 14.68/10.42 tff(33492,plain,
% 14.68/10.42 (~xuntil6(s336)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28494, 33491])).
% 14.68/10.42 tff(33493,plain,
% 14.68/10.42 (~always3(s336)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27666, 33488])).
% 14.68/10.42 tff(33494,plain,
% 14.68/10.42 (~node4(s336)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28481, 36, 33493])).
% 14.68/10.42 tff(33495,plain,
% 14.68/10.42 (xuntil6(s336) | (~until5(s336))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28488, 294, 33494])).
% 14.68/10.42 tff(33496,plain,
% 14.68/10.42 (~until5(s336)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33495, 33492])).
% 14.68/10.42 tff(33497,plain,
% 14.68/10.42 (~xuntil6(s335)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28477, 33496])).
% 14.68/10.42 tff(33498,plain,
% 14.68/10.42 (~always3(s335)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27678, 33493])).
% 14.68/10.42 tff(33499,plain,
% 14.68/10.42 (~node4(s335)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28464, 36, 33498])).
% 14.68/10.42 tff(33500,plain,
% 14.68/10.42 (xuntil6(s335) | (~until5(s335))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28471, 294, 33499])).
% 14.68/10.42 tff(33501,plain,
% 14.68/10.42 (~until5(s335)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33500, 33497])).
% 14.68/10.42 tff(33502,plain,
% 14.68/10.42 (~xuntil6(s334)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28460, 33501])).
% 14.68/10.42 tff(33503,plain,
% 14.68/10.42 (~always3(s334)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27690, 33498])).
% 14.68/10.42 tff(33504,plain,
% 14.68/10.42 (~node4(s334)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28447, 36, 33503])).
% 14.68/10.42 tff(33505,plain,
% 14.68/10.42 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28454, 294, 33504])).
% 14.68/10.42 tff(33506,plain,
% 14.68/10.42 (~until5(s334)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33505, 33502])).
% 14.68/10.42 tff(33507,plain,
% 14.68/10.42 (~xuntil6(s333)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28443, 33506])).
% 14.68/10.42 tff(33508,plain,
% 14.68/10.42 (~always3(s333)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27702, 33503])).
% 14.68/10.42 tff(33509,plain,
% 14.68/10.42 (~node4(s333)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28430, 36, 33508])).
% 14.68/10.42 tff(33510,plain,
% 14.68/10.42 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28437, 294, 33509])).
% 14.68/10.42 tff(33511,plain,
% 14.68/10.42 (~until5(s333)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33510, 33507])).
% 14.68/10.42 tff(33512,plain,
% 14.68/10.42 (~xuntil6(s332)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28426, 33511])).
% 14.68/10.42 tff(33513,plain,
% 14.68/10.42 (~always3(s332)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27714, 33508])).
% 14.68/10.42 tff(33514,plain,
% 14.68/10.42 (~node4(s332)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28413, 36, 33513])).
% 14.68/10.42 tff(33515,plain,
% 14.68/10.42 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28420, 294, 33514])).
% 14.68/10.42 tff(33516,plain,
% 14.68/10.42 (~until5(s332)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33515, 33512])).
% 14.68/10.42 tff(33517,plain,
% 14.68/10.42 (~xuntil6(s331)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28409, 33516])).
% 14.68/10.42 tff(33518,plain,
% 14.68/10.42 (~always3(s331)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27726, 33513])).
% 14.68/10.42 tff(33519,plain,
% 14.68/10.42 (~node4(s331)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28396, 36, 33518])).
% 14.68/10.42 tff(33520,plain,
% 14.68/10.42 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28403, 294, 33519])).
% 14.68/10.42 tff(33521,plain,
% 14.68/10.42 (~until5(s331)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33520, 33517])).
% 14.68/10.42 tff(33522,plain,
% 14.68/10.42 (~xuntil6(s330)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28392, 33521])).
% 14.68/10.42 tff(33523,plain,
% 14.68/10.42 (~always3(s330)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27738, 33518])).
% 14.68/10.42 tff(33524,plain,
% 14.68/10.42 (~node4(s330)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28379, 36, 33523])).
% 14.68/10.42 tff(33525,plain,
% 14.68/10.42 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28386, 294, 33524])).
% 14.68/10.42 tff(33526,plain,
% 14.68/10.42 (~until5(s330)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33525, 33522])).
% 14.68/10.42 tff(33527,plain,
% 14.68/10.42 (~always3(s329)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27750, 33523])).
% 14.68/10.42 tff(33528,plain,
% 14.68/10.42 (~always3(s328)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27762, 33527])).
% 14.68/10.42 tff(33529,plain,
% 14.68/10.42 (~always3(s327)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27774, 33528])).
% 14.68/10.42 tff(33530,plain,
% 14.68/10.42 (~always3(s326)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27786, 33529])).
% 14.68/10.42 tff(33531,plain,
% 14.68/10.42 (~always3(s325)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27798, 33530])).
% 14.68/10.42 tff(33532,plain,
% 14.68/10.42 (~always3(s324)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27810, 33531])).
% 14.68/10.42 tff(33533,plain,
% 14.68/10.42 (~always3(s323)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27822, 33532])).
% 14.68/10.42 tff(33534,plain,
% 14.68/10.42 (~always3(s322)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27834, 33533])).
% 14.68/10.42 tff(33535,plain,
% 14.68/10.42 (~always3(s321)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27846, 33534])).
% 14.68/10.42 tff(33536,plain,
% 14.68/10.42 (~always3(s320)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27858, 33535])).
% 14.68/10.42 tff(33537,plain,
% 14.68/10.42 (~always3(s319)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27870, 33536])).
% 14.68/10.42 tff(33538,plain,
% 14.68/10.42 (~always3(s318)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27882, 33537])).
% 14.68/10.42 tff(33539,plain,
% 14.68/10.42 (~always3(s317)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27894, 33538])).
% 14.68/10.42 tff(33540,plain,
% 14.68/10.42 (~always3(s316)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27906, 33539])).
% 14.68/10.42 tff(33541,plain,
% 14.68/10.42 (~always3(s315)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27918, 33540])).
% 14.68/10.42 tff(33542,plain,
% 14.68/10.42 (~always3(s314)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27930, 33541])).
% 14.68/10.42 tff(33543,plain,
% 14.68/10.42 (~always3(s313)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27942, 33542])).
% 14.68/10.42 tff(33544,plain,
% 14.68/10.42 (~always3(s312)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27954, 33543])).
% 14.68/10.42 tff(33545,plain,
% 14.68/10.42 (~always3(s311)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27966, 33544])).
% 14.68/10.42 tff(33546,plain,
% 14.68/10.42 (~always3(s310)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27978, 33545])).
% 14.68/10.42 tff(33547,plain,
% 14.68/10.42 (~node4(s310)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28039, 36, 33546])).
% 14.68/10.42 tff(33548,plain,
% 14.68/10.42 (~always3(s309)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27990, 33546])).
% 14.68/10.42 tff(33549,plain,
% 14.68/10.42 (~always3(s308)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28006, 33548])).
% 14.68/10.42 tff(33550,plain,
% 14.68/10.42 (~node4(s308)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28010, 36, 33549])).
% 14.68/10.42 tff(33551,plain,
% 14.68/10.42 (xuntil6(s308)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28018, 33550])).
% 14.68/10.42 tff(33552,plain,
% 14.68/10.42 (until5(s309)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28023, 33551])).
% 14.68/10.42 tff(33553,plain,
% 14.68/10.42 (xuntil6(s309)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28918, 33552])).
% 14.68/10.42 tff(33554,plain,
% 14.68/10.42 (until5(s310)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28035, 33553])).
% 14.68/10.42 tff(33555,plain,
% 14.68/10.42 (xuntil6(s310)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28046, 294, 33554, 33547])).
% 14.68/10.42 tff(33556,plain,
% 14.68/10.42 (until5(s311)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28052, 33555])).
% 14.68/10.42 tff(33557,plain,
% 14.68/10.42 (~node4(s311)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28056, 36, 33545])).
% 14.68/10.42 tff(33558,plain,
% 14.68/10.42 (xuntil6(s311) | (~until5(s311))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28063, 294, 33557])).
% 14.68/10.42 tff(33559,plain,
% 14.68/10.42 (xuntil6(s311)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33558, 33556])).
% 14.68/10.42 tff(33560,plain,
% 14.68/10.42 (until5(s312)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28069, 33559])).
% 14.68/10.42 tff(33561,plain,
% 14.68/10.42 (~node4(s312)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28073, 36, 33544])).
% 14.68/10.42 tff(33562,plain,
% 14.68/10.42 (xuntil6(s312) | (~until5(s312))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28080, 294, 33561])).
% 14.68/10.42 tff(33563,plain,
% 14.68/10.42 (xuntil6(s312)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33562, 33560])).
% 14.68/10.42 tff(33564,plain,
% 14.68/10.42 (until5(s313)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28086, 33563])).
% 14.68/10.42 tff(33565,plain,
% 14.68/10.42 (~node4(s313)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28090, 36, 33543])).
% 14.68/10.42 tff(33566,plain,
% 14.68/10.42 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28097, 294, 33565])).
% 14.68/10.42 tff(33567,plain,
% 14.68/10.42 (xuntil6(s313)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33566, 33564])).
% 14.68/10.42 tff(33568,plain,
% 14.68/10.42 (until5(s314)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28103, 33567])).
% 14.68/10.42 tff(33569,plain,
% 14.68/10.42 (~node4(s314)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28107, 36, 33542])).
% 14.68/10.42 tff(33570,plain,
% 14.68/10.42 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28114, 294, 33569])).
% 14.68/10.42 tff(33571,plain,
% 14.68/10.42 (xuntil6(s314)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33570, 33568])).
% 14.68/10.42 tff(33572,plain,
% 14.68/10.42 (until5(s315)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28120, 33571])).
% 14.68/10.42 tff(33573,plain,
% 14.68/10.42 (~node4(s315)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28124, 36, 33541])).
% 14.68/10.42 tff(33574,plain,
% 14.68/10.42 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28131, 294, 33573])).
% 14.68/10.42 tff(33575,plain,
% 14.68/10.42 (xuntil6(s315)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33574, 33572])).
% 14.68/10.42 tff(33576,plain,
% 14.68/10.42 (until5(s316)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28137, 33575])).
% 14.68/10.42 tff(33577,plain,
% 14.68/10.42 (~node4(s316)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28141, 36, 33540])).
% 14.68/10.42 tff(33578,plain,
% 14.68/10.42 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28148, 294, 33577])).
% 14.68/10.42 tff(33579,plain,
% 14.68/10.42 (xuntil6(s316)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33578, 33576])).
% 14.68/10.42 tff(33580,plain,
% 14.68/10.42 (until5(s317)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28154, 33579])).
% 14.68/10.42 tff(33581,plain,
% 14.68/10.42 (~node4(s317)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28158, 36, 33539])).
% 14.68/10.42 tff(33582,plain,
% 14.68/10.42 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28165, 294, 33581])).
% 14.68/10.42 tff(33583,plain,
% 14.68/10.42 (xuntil6(s317)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33582, 33580])).
% 14.68/10.42 tff(33584,plain,
% 14.68/10.42 (until5(s318)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28171, 33583])).
% 14.68/10.42 tff(33585,plain,
% 14.68/10.42 (~node4(s318)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28175, 36, 33538])).
% 14.68/10.42 tff(33586,plain,
% 14.68/10.42 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28182, 294, 33585])).
% 14.68/10.42 tff(33587,plain,
% 14.68/10.42 (xuntil6(s318)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33586, 33584])).
% 14.68/10.42 tff(33588,plain,
% 14.68/10.42 (until5(s319)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28188, 33587])).
% 14.68/10.42 tff(33589,plain,
% 14.68/10.42 (~node4(s319)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28192, 36, 33537])).
% 14.68/10.42 tff(33590,plain,
% 14.68/10.42 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28199, 294, 33589])).
% 14.68/10.42 tff(33591,plain,
% 14.68/10.42 (xuntil6(s319)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33590, 33588])).
% 14.68/10.42 tff(33592,plain,
% 14.68/10.42 (until5(s320)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28205, 33591])).
% 14.68/10.42 tff(33593,plain,
% 14.68/10.42 (~node4(s320)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28209, 36, 33536])).
% 14.68/10.42 tff(33594,plain,
% 14.68/10.42 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28216, 294, 33593])).
% 14.68/10.42 tff(33595,plain,
% 14.68/10.42 (xuntil6(s320)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33594, 33592])).
% 14.68/10.42 tff(33596,plain,
% 14.68/10.42 (until5(s321)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28222, 33595])).
% 14.68/10.42 tff(33597,plain,
% 14.68/10.42 (~node4(s321)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28226, 36, 33535])).
% 14.68/10.42 tff(33598,plain,
% 14.68/10.42 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28233, 294, 33597])).
% 14.68/10.42 tff(33599,plain,
% 14.68/10.42 (xuntil6(s321)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33598, 33596])).
% 14.68/10.42 tff(33600,plain,
% 14.68/10.42 (until5(s322)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28239, 33599])).
% 14.68/10.42 tff(33601,plain,
% 14.68/10.42 (~node4(s322)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28243, 36, 33534])).
% 14.68/10.42 tff(33602,plain,
% 14.68/10.42 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28250, 294, 33601])).
% 14.68/10.42 tff(33603,plain,
% 14.68/10.42 (xuntil6(s322)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33602, 33600])).
% 14.68/10.42 tff(33604,plain,
% 14.68/10.42 (until5(s323)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28256, 33603])).
% 14.68/10.42 tff(33605,plain,
% 14.68/10.42 (~node4(s323)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28260, 36, 33533])).
% 14.68/10.42 tff(33606,plain,
% 14.68/10.42 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28267, 294, 33605])).
% 14.68/10.42 tff(33607,plain,
% 14.68/10.42 (xuntil6(s323)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33606, 33604])).
% 14.68/10.42 tff(33608,plain,
% 14.68/10.42 (until5(s324)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28273, 33607])).
% 14.68/10.42 tff(33609,plain,
% 14.68/10.42 (~node4(s324)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28277, 36, 33532])).
% 14.68/10.42 tff(33610,plain,
% 14.68/10.42 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28284, 294, 33609])).
% 14.68/10.42 tff(33611,plain,
% 14.68/10.42 (xuntil6(s324)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33610, 33608])).
% 14.68/10.42 tff(33612,plain,
% 14.68/10.42 (until5(s325)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28290, 33611])).
% 14.68/10.42 tff(33613,plain,
% 14.68/10.42 (~node4(s325)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28294, 36, 33531])).
% 14.68/10.42 tff(33614,plain,
% 14.68/10.42 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28301, 294, 33613])).
% 14.68/10.42 tff(33615,plain,
% 14.68/10.42 (xuntil6(s325)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33614, 33612])).
% 14.68/10.42 tff(33616,plain,
% 14.68/10.42 (until5(s326)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28307, 33615])).
% 14.68/10.42 tff(33617,plain,
% 14.68/10.42 (~node4(s326)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28311, 36, 33530])).
% 14.68/10.42 tff(33618,plain,
% 14.68/10.42 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28318, 294, 33617])).
% 14.68/10.42 tff(33619,plain,
% 14.68/10.42 (xuntil6(s326)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33618, 33616])).
% 14.68/10.42 tff(33620,plain,
% 14.68/10.42 (until5(s327)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28324, 33619])).
% 14.68/10.42 tff(33621,plain,
% 14.68/10.42 (~node4(s327)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28328, 36, 33529])).
% 14.68/10.42 tff(33622,plain,
% 14.68/10.42 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28335, 294, 33621])).
% 14.68/10.42 tff(33623,plain,
% 14.68/10.42 (xuntil6(s327)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33622, 33620])).
% 14.68/10.42 tff(33624,plain,
% 14.68/10.42 (until5(s328)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28341, 33623])).
% 14.68/10.42 tff(33625,plain,
% 14.68/10.42 (~node4(s328)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28345, 36, 33528])).
% 14.68/10.42 tff(33626,plain,
% 14.68/10.42 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28352, 294, 33625])).
% 14.68/10.42 tff(33627,plain,
% 14.68/10.42 (xuntil6(s328)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33626, 33624])).
% 14.68/10.42 tff(33628,plain,
% 14.68/10.42 (until5(s329)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28358, 33627])).
% 14.68/10.42 tff(33629,plain,
% 14.68/10.42 (~node4(s329)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28362, 36, 33527])).
% 14.68/10.42 tff(33630,plain,
% 14.68/10.42 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28369, 294, 33629])).
% 14.68/10.42 tff(33631,plain,
% 14.68/10.42 (xuntil6(s329)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33630, 33628])).
% 14.68/10.42 tff(33632,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28375, 33631, 33526])).
% 14.68/10.42 tff(33633,plain,(always3(s351) | (~until5(s308)) | xuntil6(s351)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33634,plain,
% 14.68/10.42 (always3(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33633, 33426, 26199])).
% 14.68/10.42 tff(33635,plain,
% 14.68/10.42 (always3(s352)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27486, 33634])).
% 14.68/10.42 tff(33636,plain,
% 14.68/10.42 (~m_main_v_state(s352, c_busy)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[32222, 85, 33635])).
% 14.68/10.42 tff(33637,assumption,(until5(s351)), introduced(assumption)).
% 14.68/10.42 tff(33638,plain,
% 14.68/10.42 (xuntil6(s351) | node4(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28743, 294, 33637])).
% 14.68/10.42 tff(33639,plain,
% 14.68/10.42 (node4(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33638, 33426])).
% 14.68/10.42 tff(33640,plain,
% 14.68/10.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s351) | (~node4(s351)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s351) | (~node4(s351)))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33641,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s351) | (~node4(s351)))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33642,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s351) | (~node4(s351))),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33641, 33640])).
% 14.68/10.42 tff(33643,plain,
% 14.68/10.42 (m_main_v_request(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33642, 21, 33639])).
% 14.68/10.42 tff(33644,plain,
% 14.68/10.42 (~m_main_v_state(s351, c_ready)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[32241, 33643, 33636])).
% 14.68/10.42 tff(33645,plain,
% 14.68/10.42 (~m_main_v_state(s351, c_busy)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28997, 85, 33634])).
% 14.68/10.42 tff(33646,plain,
% 14.68/10.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s351, c_busy) | m_main_v_state(s351, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s351, c_busy) | m_main_v_state(s351, c_ready))),
% 14.68/10.42 inference(rewrite,[status(thm)],[])).
% 14.68/10.42 tff(33647,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s351, c_busy) | m_main_v_state(s351, c_ready))),
% 14.68/10.42 inference(quant_inst,[status(thm)],[])).
% 14.68/10.42 tff(33648,plain,
% 14.68/10.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s351, c_busy) | m_main_v_state(s351, c_ready)),
% 14.68/10.42 inference(modus_ponens,[status(thm)],[33647, 33646])).
% 14.68/10.42 tff(33649,plain,
% 14.68/10.42 ($false),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33648, 102, 33645, 33644])).
% 14.68/10.42 tff(33650,plain,(xuntil6(s351) | (~until5(s351)) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.42 tff(33651,plain,
% 14.68/10.42 (~until5(s351)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33650, 33425, 31976])).
% 14.68/10.42 tff(33652,plain,
% 14.68/10.42 (~xuntil6(s350)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28732, 33651])).
% 14.68/10.42 tff(33653,plain,
% 14.68/10.42 (~until5(s350)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[29024, 33652])).
% 14.68/10.42 tff(33654,plain,
% 14.68/10.42 (~xuntil6(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28715, 33653])).
% 14.68/10.42 tff(33655,assumption,(~xuntil6(s349)), introduced(assumption)).
% 14.68/10.42 tff(33656,assumption,(until5(s346)), introduced(assumption)).
% 14.68/10.42 tff(33657,assumption,(~always3(s349)), introduced(assumption)).
% 14.68/10.42 tff(33658,plain,
% 14.68/10.42 (~always3(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27522, 33657])).
% 14.68/10.42 tff(33659,plain,
% 14.68/10.42 (~node4(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28685, 36, 33658])).
% 14.68/10.42 tff(33660,plain,
% 14.68/10.42 (~node4(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28702, 36, 33657])).
% 14.68/10.42 tff(33661,plain,
% 14.68/10.42 (node4(s349) | (~until5(s349))),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28709, 294, 33655])).
% 14.68/10.42 tff(33662,plain,
% 14.68/10.42 (~until5(s349)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33661, 33660])).
% 14.68/10.42 tff(33663,plain,
% 14.68/10.42 (~xuntil6(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28698, 33662])).
% 14.68/10.42 tff(33664,plain,
% 14.68/10.42 (~until5(s348)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28692, 294, 33663, 33659])).
% 14.68/10.42 tff(33665,plain,
% 14.68/10.42 (~always3(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27534, 33658])).
% 14.68/10.42 tff(33666,plain,
% 14.68/10.42 (~node4(s347)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28668, 36, 33665])).
% 14.68/10.42 tff(33667,plain,
% 14.68/10.42 (~always3(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[27546, 33665])).
% 14.68/10.42 tff(33668,plain,
% 14.68/10.42 (~node4(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28651, 36, 33667])).
% 14.68/10.42 tff(33669,plain,
% 14.68/10.42 (xuntil6(s346) | node4(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[28658, 294, 33656])).
% 14.68/10.42 tff(33670,plain,
% 14.68/10.42 (xuntil6(s346)),
% 14.68/10.42 inference(unit_resolution,[status(thm)],[33669, 33668])).
% 14.68/10.42 tff(33671,plain,
% 14.68/10.42 (until5(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28664, 33670])).
% 14.68/10.43 tff(33672,plain,
% 14.68/10.43 (xuntil6(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28675, 294, 33671, 33666])).
% 14.68/10.43 tff(33673,plain,
% 14.68/10.43 ($false),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28681, 33672, 33664])).
% 14.68/10.43 tff(33674,plain,(always3(s349) | (~until5(s346)) | xuntil6(s349)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.43 tff(33675,plain,
% 14.68/10.43 (always3(s349)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33674, 33656, 33655])).
% 14.68/10.43 tff(33676,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s349)) | (~m_main_v_state(s349, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s349)) | (~m_main_v_state(s349, c_busy)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33677,plain,
% 14.68/10.43 (((~m_main_v_state(s349, c_busy)) | (~always3(s349))) <=> ((~always3(s349)) | (~m_main_v_state(s349, c_busy)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33678,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s349, c_busy)) | (~always3(s349)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s349)) | (~m_main_v_state(s349, c_busy))))),
% 14.68/10.43 inference(monotonicity,[status(thm)],[33677])).
% 14.68/10.43 tff(33679,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s349, c_busy)) | (~always3(s349)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s349)) | (~m_main_v_state(s349, c_busy)))),
% 14.68/10.43 inference(transitivity,[status(thm)],[33678, 33676])).
% 14.68/10.43 tff(33680,plain,
% 14.68/10.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s349, c_busy)) | (~always3(s349)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33681,plain,
% 14.68/10.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s349)) | (~m_main_v_state(s349, c_busy))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33680, 33679])).
% 14.68/10.43 tff(33682,plain,
% 14.68/10.43 (~m_main_v_state(s349, c_busy)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33681, 85, 33675])).
% 14.68/10.43 tff(33683,assumption,(~m_main_v_state(s349, c_busy)), introduced(assumption)).
% 14.68/10.43 tff(33684,assumption,(node4(s348)), introduced(assumption)).
% 14.68/10.43 tff(33685,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s348) | (~node4(s348)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s348) | (~node4(s348)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33686,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s348) | (~node4(s348)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33687,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s348) | (~node4(s348))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33686, 33685])).
% 14.68/10.43 tff(33688,plain,
% 14.68/10.43 (m_main_v_request(s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33687, 21, 33684])).
% 14.68/10.43 tff(33689,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s348, s349)) | node2(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s348, s349)) | node2(s348, s349))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33690,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s348, s349)) | node2(s348, s349))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33691,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s348, s349)) | node2(s348, s349)),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33690, 33689])).
% 14.68/10.43 tff(33692,plain,
% 14.68/10.43 (node2(s348, s349)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33691, 7, 27518])).
% 14.68/10.43 tff(33693,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s348, c_ready)) | (~node2(s348, s349)) | m_main_v_state(s349, c_busy) | (~m_main_v_request(s348)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s348, c_ready)) | (~node2(s348, s349)) | m_main_v_state(s349, c_busy) | (~m_main_v_request(s348)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33694,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s348, c_ready)) | (~node2(s348, s349)) | m_main_v_state(s349, c_busy) | (~m_main_v_request(s348)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33695,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s348, c_ready)) | (~node2(s348, s349)) | m_main_v_state(s349, c_busy) | (~m_main_v_request(s348))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33694, 33693])).
% 14.68/10.43 tff(33696,plain,
% 14.68/10.43 ((~m_main_v_state(s348, c_ready)) | m_main_v_state(s349, c_busy) | (~m_main_v_request(s348))),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33695, 73, 33692])).
% 14.68/10.43 tff(33697,plain,
% 14.68/10.43 (~m_main_v_state(s348, c_ready)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33696, 33688, 33683])).
% 14.68/10.43 tff(33698,assumption,(~m_main_v_state(s348, c_busy)), introduced(assumption)).
% 14.68/10.43 tff(33699,assumption,(~m_main_v_state(s348, c_ready)), introduced(assumption)).
% 14.68/10.43 tff(33700,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s347, s348)) | node2(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s347, s348)) | node2(s347, s348))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33701,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s347, s348)) | node2(s347, s348))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33702,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s347, s348)) | node2(s347, s348)),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33701, 33700])).
% 14.68/10.43 tff(33703,plain,
% 14.68/10.43 (node2(s347, s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33702, 7, 27530])).
% 14.68/10.43 tff(33704,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s347, s348)) | m_main_v_state(s348, c_busy) | node1(s347) | m_main_v_state(s348, 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(s347, s348)) | m_main_v_state(s348, c_busy) | node1(s347) | m_main_v_state(s348, c_ready))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33705,plain,
% 14.68/10.43 ((node1(s347) | m_main_v_state(s348, c_ready) | (~node2(s347, s348)) | m_main_v_state(s348, c_busy)) <=> ((~node2(s347, s348)) | m_main_v_state(s348, c_busy) | node1(s347) | m_main_v_state(s348, c_ready))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33706,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s347) | m_main_v_state(s348, c_ready) | (~node2(s347, s348)) | m_main_v_state(s348, 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(s347, s348)) | m_main_v_state(s348, c_busy) | node1(s347) | m_main_v_state(s348, c_ready)))),
% 14.68/10.43 inference(monotonicity,[status(thm)],[33705])).
% 14.68/10.43 tff(33707,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s347) | m_main_v_state(s348, c_ready) | (~node2(s347, s348)) | m_main_v_state(s348, 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(s347, s348)) | m_main_v_state(s348, c_busy) | node1(s347) | m_main_v_state(s348, c_ready))),
% 14.68/10.43 inference(transitivity,[status(thm)],[33706, 33704])).
% 14.68/10.43 tff(33708,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s347) | m_main_v_state(s348, c_ready) | (~node2(s347, s348)) | m_main_v_state(s348, c_busy))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33709,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s347, s348)) | m_main_v_state(s348, c_busy) | node1(s347) | m_main_v_state(s348, c_ready)),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 14.68/10.43 tff(33710,plain,
% 14.68/10.43 (m_main_v_state(s348, c_busy) | node1(s347) | m_main_v_state(s348, c_ready)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33709, 3551, 33703])).
% 14.68/10.43 tff(33711,plain,
% 14.68/10.43 (node1(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33710, 33698, 33699])).
% 14.68/10.43 tff(33712,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s347, c_ready) | (~node1(s347)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s347, c_ready) | (~node1(s347)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33713,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s347, c_ready) | (~node1(s347)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33714,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s347, c_ready) | (~node1(s347))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33713, 33712])).
% 14.68/10.43 tff(33715,plain,
% 14.68/10.43 (m_main_v_state(s347, c_ready)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33714, 3581, 33711])).
% 14.68/10.43 tff(33716,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s347) | (~node1(s347)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s347) | (~node1(s347)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33717,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s347) | (~node1(s347)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33718,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s347) | (~node1(s347))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33717, 33716])).
% 14.68/10.43 tff(33719,plain,
% 14.68/10.43 (m_main_v_request(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33718, 3568, 33711])).
% 14.68/10.43 tff(33720,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s347, c_ready)) | (~node2(s347, s348)) | m_main_v_state(s348, c_busy) | (~m_main_v_request(s347)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s347, c_ready)) | (~node2(s347, s348)) | m_main_v_state(s348, c_busy) | (~m_main_v_request(s347)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33721,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s347, c_ready)) | (~node2(s347, s348)) | m_main_v_state(s348, c_busy) | (~m_main_v_request(s347)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33722,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s347, c_ready)) | (~node2(s347, s348)) | m_main_v_state(s348, c_busy) | (~m_main_v_request(s347))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33721, 33720])).
% 14.68/10.43 tff(33723,plain,
% 14.68/10.43 ((~m_main_v_state(s347, c_ready)) | m_main_v_state(s348, c_busy) | (~m_main_v_request(s347))),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33722, 73, 33703])).
% 14.68/10.43 tff(33724,plain,
% 14.68/10.43 ($false),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33723, 33719, 33715, 33698])).
% 14.68/10.43 tff(33725,plain,(m_main_v_state(s348, c_busy) | m_main_v_state(s348, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.43 tff(33726,plain,
% 14.68/10.43 (m_main_v_state(s348, c_busy)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33725, 33697])).
% 14.68/10.43 tff(33727,plain,
% 14.68/10.43 (always3(s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28685, 36, 33684])).
% 14.68/10.43 tff(33728,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s348)) | (~m_main_v_state(s348, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s348)) | (~m_main_v_state(s348, c_busy)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33729,plain,
% 14.68/10.43 (((~m_main_v_state(s348, c_busy)) | (~always3(s348))) <=> ((~always3(s348)) | (~m_main_v_state(s348, c_busy)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33730,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s348, c_busy)) | (~always3(s348)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s348)) | (~m_main_v_state(s348, c_busy))))),
% 14.68/10.43 inference(monotonicity,[status(thm)],[33729])).
% 14.68/10.43 tff(33731,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s348, c_busy)) | (~always3(s348)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s348)) | (~m_main_v_state(s348, c_busy)))),
% 14.68/10.43 inference(transitivity,[status(thm)],[33730, 33728])).
% 14.68/10.43 tff(33732,plain,
% 14.68/10.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s348, c_busy)) | (~always3(s348)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33733,plain,
% 14.68/10.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s348)) | (~m_main_v_state(s348, c_busy))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33732, 33731])).
% 14.68/10.43 tff(33734,plain,
% 14.68/10.43 ($false),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33733, 85, 33727, 33726])).
% 14.68/10.43 tff(33735,plain,((~node4(s348)) | m_main_v_state(s349, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.43 tff(33736,plain,
% 14.68/10.43 (~node4(s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33735, 33682])).
% 14.68/10.43 tff(33737,plain,
% 14.68/10.43 (always3(s350)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[27510, 33675])).
% 14.68/10.43 tff(33738,plain,
% 14.68/10.43 (~m_main_v_state(s350, c_busy)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[29004, 85, 33737])).
% 14.68/10.43 tff(33739,assumption,(~m_main_v_state(s349, c_ready)), introduced(assumption)).
% 14.68/10.43 tff(33740,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s348, s349)) | m_main_v_state(s349, c_busy) | node1(s348) | m_main_v_state(s349, 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(s348, s349)) | m_main_v_state(s349, c_busy) | node1(s348) | m_main_v_state(s349, c_ready))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33741,plain,
% 14.68/10.43 ((node1(s348) | m_main_v_state(s349, c_ready) | (~node2(s348, s349)) | m_main_v_state(s349, c_busy)) <=> ((~node2(s348, s349)) | m_main_v_state(s349, c_busy) | node1(s348) | m_main_v_state(s349, c_ready))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33742,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s348) | m_main_v_state(s349, c_ready) | (~node2(s348, s349)) | m_main_v_state(s349, 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(s348, s349)) | m_main_v_state(s349, c_busy) | node1(s348) | m_main_v_state(s349, c_ready)))),
% 14.68/10.43 inference(monotonicity,[status(thm)],[33741])).
% 14.68/10.43 tff(33743,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s348) | m_main_v_state(s349, c_ready) | (~node2(s348, s349)) | m_main_v_state(s349, 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(s348, s349)) | m_main_v_state(s349, c_busy) | node1(s348) | m_main_v_state(s349, c_ready))),
% 14.68/10.43 inference(transitivity,[status(thm)],[33742, 33740])).
% 14.68/10.43 tff(33744,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s348) | m_main_v_state(s349, c_ready) | (~node2(s348, s349)) | m_main_v_state(s349, c_busy))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33745,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s348, s349)) | m_main_v_state(s349, c_busy) | node1(s348) | m_main_v_state(s349, c_ready)),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33744, 33743])).
% 14.68/10.43 tff(33746,plain,
% 14.68/10.43 (m_main_v_state(s349, c_busy) | node1(s348) | m_main_v_state(s349, c_ready)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33745, 3551, 33692])).
% 14.68/10.43 tff(33747,plain,
% 14.68/10.43 (node1(s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33746, 33683, 33739])).
% 14.68/10.43 tff(33748,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s348, c_ready) | (~node1(s348)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s348, c_ready) | (~node1(s348)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33749,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s348, c_ready) | (~node1(s348)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33750,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s348, c_ready) | (~node1(s348))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33749, 33748])).
% 14.68/10.43 tff(33751,plain,
% 14.68/10.43 (m_main_v_state(s348, c_ready)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33750, 3581, 33747])).
% 14.68/10.43 tff(33752,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s348) | (~node1(s348)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s348) | (~node1(s348)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33753,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s348) | (~node1(s348)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33754,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s348) | (~node1(s348))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33753, 33752])).
% 14.68/10.43 tff(33755,plain,
% 14.68/10.43 (m_main_v_request(s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33754, 3568, 33747])).
% 14.68/10.43 tff(33756,plain,
% 14.68/10.43 ($false),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33696, 33755, 33751, 33683])).
% 14.68/10.43 tff(33757,plain,(m_main_v_state(s349, c_busy) | m_main_v_state(s349, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.43 tff(33758,plain,
% 14.68/10.43 (m_main_v_state(s349, c_ready)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33757, 33682])).
% 14.68/10.43 tff(33759,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s349, s350)) | node2(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s349, s350)) | node2(s349, s350))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33760,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s349, s350)) | node2(s349, s350))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33761,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s349, s350)) | node2(s349, s350)),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33760, 33759])).
% 14.68/10.43 tff(33762,plain,
% 14.68/10.43 (node2(s349, s350)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33761, 7, 27506])).
% 14.68/10.43 tff(33763,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s349, c_ready)) | (~node2(s349, s350)) | m_main_v_state(s350, c_busy) | (~m_main_v_request(s349)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s349, c_ready)) | (~node2(s349, s350)) | m_main_v_state(s350, c_busy) | (~m_main_v_request(s349)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33764,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s349, c_ready)) | (~node2(s349, s350)) | m_main_v_state(s350, c_busy) | (~m_main_v_request(s349)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33765,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s349, c_ready)) | (~node2(s349, s350)) | m_main_v_state(s350, c_busy) | (~m_main_v_request(s349))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33764, 33763])).
% 14.68/10.43 tff(33766,plain,
% 14.68/10.43 ((~m_main_v_state(s349, c_ready)) | m_main_v_state(s350, c_busy) | (~m_main_v_request(s349))),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33765, 73, 33762])).
% 14.68/10.43 tff(33767,plain,
% 14.68/10.43 (~m_main_v_request(s349)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33766, 33758, 33738])).
% 14.68/10.43 tff(33768,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s349) | (~node4(s349)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s349) | (~node4(s349)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33769,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s349) | (~node4(s349)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33770,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s349) | (~node4(s349))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33769, 33768])).
% 14.68/10.43 tff(33771,plain,
% 14.68/10.43 (~node4(s349)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33770, 21, 33767])).
% 14.68/10.43 tff(33772,plain,
% 14.68/10.43 (~until5(s349)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33661, 33771])).
% 14.68/10.43 tff(33773,plain,
% 14.68/10.43 (~xuntil6(s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28698, 33772])).
% 14.68/10.43 tff(33774,plain,
% 14.68/10.43 (node4(s348) | (~until5(s348))),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28692, 294, 33773])).
% 14.68/10.43 tff(33775,plain,
% 14.68/10.43 (~until5(s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33774, 33736])).
% 14.68/10.43 tff(33776,plain,
% 14.68/10.43 (~xuntil6(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28681, 33775])).
% 14.68/10.43 tff(33777,assumption,(~always3(s347)), introduced(assumption)).
% 14.68/10.43 tff(33778,plain,
% 14.68/10.43 (~node4(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28668, 36, 33777])).
% 14.68/10.43 tff(33779,assumption,(~xuntil6(s347)), introduced(assumption)).
% 14.68/10.43 tff(33780,plain,
% 14.68/10.43 (node4(s347) | (~until5(s347))),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28675, 294, 33779])).
% 14.68/10.43 tff(33781,plain,
% 14.68/10.43 (~until5(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33780, 33778])).
% 14.68/10.43 tff(33782,plain,
% 14.68/10.43 (~always3(s346)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[27546, 33777])).
% 14.68/10.43 tff(33783,plain,
% 14.68/10.43 (~node4(s346)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28651, 36, 33782])).
% 14.68/10.43 tff(33784,plain,
% 14.68/10.43 (xuntil6(s346)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33669, 33783])).
% 14.68/10.43 tff(33785,plain,
% 14.68/10.43 ($false),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28664, 33784, 33781])).
% 14.68/10.43 tff(33786,plain,(always3(s347) | (~until5(s346)) | xuntil6(s347)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.43 tff(33787,plain,
% 14.68/10.43 (always3(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33786, 33656, 33776])).
% 14.68/10.43 tff(33788,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s347)) | (~m_main_v_state(s347, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s347)) | (~m_main_v_state(s347, c_busy)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33789,plain,
% 14.68/10.43 (((~m_main_v_state(s347, c_busy)) | (~always3(s347))) <=> ((~always3(s347)) | (~m_main_v_state(s347, c_busy)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33790,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s347, c_busy)) | (~always3(s347)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s347)) | (~m_main_v_state(s347, c_busy))))),
% 14.68/10.43 inference(monotonicity,[status(thm)],[33789])).
% 14.68/10.43 tff(33791,plain,
% 14.68/10.43 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s347, c_busy)) | (~always3(s347)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s347)) | (~m_main_v_state(s347, c_busy)))),
% 14.68/10.43 inference(transitivity,[status(thm)],[33790, 33788])).
% 14.68/10.43 tff(33792,plain,
% 14.68/10.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s347, c_busy)) | (~always3(s347)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33793,plain,
% 14.68/10.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s347)) | (~m_main_v_state(s347, c_busy))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33792, 33791])).
% 14.68/10.43 tff(33794,plain,
% 14.68/10.43 (~m_main_v_state(s347, c_busy)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33793, 85, 33787])).
% 14.68/10.43 tff(33795,plain,
% 14.68/10.43 (always3(s348)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[27534, 33787])).
% 14.68/10.43 tff(33796,plain,
% 14.68/10.43 (~m_main_v_state(s348, c_busy)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33733, 85, 33795])).
% 14.68/10.43 tff(33797,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s347, c_busy) | m_main_v_state(s347, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s347, c_busy) | m_main_v_state(s347, c_ready))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33798,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s347, c_busy) | m_main_v_state(s347, c_ready))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33799,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s347, c_busy) | m_main_v_state(s347, c_ready)),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33798, 33797])).
% 14.68/10.43 tff(33800,plain,
% 14.68/10.43 (m_main_v_state(s347, c_ready)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33799, 102, 33794])).
% 14.68/10.43 tff(33801,plain,
% 14.68/10.43 (~m_main_v_request(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33723, 33800, 33796])).
% 14.68/10.43 tff(33802,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s347) | (~node4(s347)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s347) | (~node4(s347)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33803,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s347) | (~node4(s347)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33804,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s347) | (~node4(s347))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33803, 33802])).
% 14.68/10.43 tff(33805,plain,
% 14.68/10.43 (~node4(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33804, 21, 33801])).
% 14.68/10.43 tff(33806,plain,
% 14.68/10.43 (node4(s347) | (~until5(s347))),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28675, 294, 33776])).
% 14.68/10.43 tff(33807,plain,
% 14.68/10.43 (~until5(s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33806, 33805])).
% 14.68/10.43 tff(33808,plain,
% 14.68/10.43 (~xuntil6(s346)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[28664, 33807])).
% 14.68/10.43 tff(33809,plain,
% 14.68/10.43 (node4(s346)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33669, 33808])).
% 14.68/10.43 tff(33810,plain,
% 14.68/10.43 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s346) | (~node4(s346)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s346) | (~node4(s346)))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33811,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s346) | (~node4(s346)))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33812,plain,
% 14.68/10.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s346) | (~node4(s346))),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33811, 33810])).
% 14.68/10.43 tff(33813,plain,
% 14.68/10.43 (m_main_v_request(s346)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33812, 21, 33809])).
% 14.68/10.43 tff(33814,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s346, s347)) | node2(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s346, s347)) | node2(s346, s347))),
% 14.68/10.43 inference(rewrite,[status(thm)],[])).
% 14.68/10.43 tff(33815,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s346, s347)) | node2(s346, s347))),
% 14.68/10.43 inference(quant_inst,[status(thm)],[])).
% 14.68/10.43 tff(33816,plain,
% 14.68/10.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s346, s347)) | node2(s346, s347)),
% 14.68/10.43 inference(modus_ponens,[status(thm)],[33815, 33814])).
% 14.68/10.43 tff(33817,plain,
% 14.68/10.43 (node2(s346, s347)),
% 14.68/10.43 inference(unit_resolution,[status(thm)],[33816, 7, 27542])).
% 14.68/10.43 tff(33818,plain,
% 14.68/10.43 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s346, c_ready)) | (~node2(s346, s347)) | m_main_v_state(s347, c_busy) | (~m_main_v_request(s346)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s346, c_ready)) | (~node2(s346, s347)) | m_main_v_state(s347, c_busy) | (~m_main_v_request(s346)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(33819,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s346, c_ready)) | (~node2(s346, s347)) | m_main_v_state(s347, c_busy) | (~m_main_v_request(s346)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(33820,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s346, c_ready)) | (~node2(s346, s347)) | m_main_v_state(s347, c_busy) | (~m_main_v_request(s346))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[33819, 33818])).
% 14.68/10.44 tff(33821,plain,
% 14.68/10.44 ((~m_main_v_state(s346, c_ready)) | m_main_v_state(s347, c_busy) | (~m_main_v_request(s346))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33820, 73, 33817])).
% 14.68/10.44 tff(33822,plain,
% 14.68/10.44 (~m_main_v_state(s346, c_ready)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33821, 33813, 33794])).
% 14.68/10.44 tff(33823,assumption,(~m_main_v_state(s346, c_ready)), introduced(assumption)).
% 14.68/10.44 tff(33824,assumption,(~m_main_v_state(s346, c_busy)), introduced(assumption)).
% 14.68/10.44 tff(33825,plain,
% 14.68/10.44 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s346, c_busy) | m_main_v_state(s346, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s346, c_busy) | m_main_v_state(s346, c_ready))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(33826,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s346, c_busy) | m_main_v_state(s346, c_ready))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(33827,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s346, c_busy) | m_main_v_state(s346, c_ready)),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[33826, 33825])).
% 14.68/10.44 tff(33828,plain,
% 14.68/10.44 ($false),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33827, 102, 33824, 33823])).
% 14.68/10.44 tff(33829,plain,(m_main_v_state(s346, c_ready) | m_main_v_state(s346, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.44 tff(33830,plain,
% 14.68/10.44 (m_main_v_state(s346, c_busy)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33829, 33822])).
% 14.68/10.44 tff(33831,plain,
% 14.68/10.44 (always3(s346)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28651, 36, 33809])).
% 14.68/10.44 tff(33832,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s346)) | (~m_main_v_state(s346, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s346)) | (~m_main_v_state(s346, c_busy)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(33833,plain,
% 14.68/10.44 (((~m_main_v_state(s346, c_busy)) | (~always3(s346))) <=> ((~always3(s346)) | (~m_main_v_state(s346, c_busy)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(33834,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s346, c_busy)) | (~always3(s346)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s346)) | (~m_main_v_state(s346, c_busy))))),
% 14.68/10.44 inference(monotonicity,[status(thm)],[33833])).
% 14.68/10.44 tff(33835,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s346, c_busy)) | (~always3(s346)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s346)) | (~m_main_v_state(s346, c_busy)))),
% 14.68/10.44 inference(transitivity,[status(thm)],[33834, 33832])).
% 14.68/10.44 tff(33836,plain,
% 14.68/10.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s346, c_busy)) | (~always3(s346)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(33837,plain,
% 14.68/10.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s346)) | (~m_main_v_state(s346, c_busy))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[33836, 33835])).
% 14.68/10.44 tff(33838,plain,
% 14.68/10.44 ($false),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33837, 85, 33831, 33830])).
% 14.68/10.44 tff(33839,plain,((~until5(s346)) | xuntil6(s349)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.44 tff(33840,plain,
% 14.68/10.44 (~until5(s346)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33839, 33654])).
% 14.68/10.44 tff(33841,plain,
% 14.68/10.44 (~xuntil6(s345)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28647, 33840])).
% 14.68/10.44 tff(33842,assumption,(~always3(s345)), introduced(assumption)).
% 14.68/10.44 tff(33843,plain,
% 14.68/10.44 (~always3(s344)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27570, 33842])).
% 14.68/10.44 tff(33844,plain,
% 14.68/10.44 (~always3(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27582, 33843])).
% 14.68/10.44 tff(33845,plain,
% 14.68/10.44 (~node4(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28600, 36, 33844])).
% 14.68/10.44 tff(33846,plain,
% 14.68/10.44 (~node4(s345)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28634, 36, 33842])).
% 14.68/10.44 tff(33847,assumption,(~xuntil6(s345)), introduced(assumption)).
% 14.68/10.44 tff(33848,plain,
% 14.68/10.44 (node4(s345) | (~until5(s345))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28641, 294, 33847])).
% 14.68/10.44 tff(33849,plain,
% 14.68/10.44 (~until5(s345)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33848, 33846])).
% 14.68/10.44 tff(33850,plain,
% 14.68/10.44 (~xuntil6(s344)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28630, 33849])).
% 14.68/10.44 tff(33851,plain,
% 14.68/10.44 (~until5(s344)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[29086, 33850])).
% 14.68/10.44 tff(33852,plain,
% 14.68/10.44 (~xuntil6(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28613, 33851])).
% 14.68/10.44 tff(33853,plain,
% 14.68/10.44 (~until5(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28607, 294, 33852, 33845])).
% 14.68/10.44 tff(33854,plain,
% 14.68/10.44 (~xuntil6(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28596, 33853])).
% 14.68/10.44 tff(33855,plain,
% 14.68/10.44 (~always3(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27594, 33844])).
% 14.68/10.44 tff(33856,plain,
% 14.68/10.44 (~node4(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28583, 36, 33855])).
% 14.68/10.44 tff(33857,plain,
% 14.68/10.44 (xuntil6(s342) | (~until5(s342))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28590, 294, 33856])).
% 14.68/10.44 tff(33858,plain,
% 14.68/10.44 (~until5(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33857, 33854])).
% 14.68/10.44 tff(33859,plain,
% 14.68/10.44 (~xuntil6(s341)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28579, 33858])).
% 14.68/10.44 tff(33860,plain,
% 14.68/10.44 (~always3(s341)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27606, 33855])).
% 14.68/10.44 tff(33861,plain,
% 14.68/10.44 (~node4(s341)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28566, 36, 33860])).
% 14.68/10.44 tff(33862,plain,
% 14.68/10.44 (xuntil6(s341) | (~until5(s341))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28573, 294, 33861])).
% 14.68/10.44 tff(33863,plain,
% 14.68/10.44 (~until5(s341)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33862, 33859])).
% 14.68/10.44 tff(33864,plain,
% 14.68/10.44 (~xuntil6(s340)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28562, 33863])).
% 14.68/10.44 tff(33865,plain,
% 14.68/10.44 (~until5(s340)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[29136, 33864])).
% 14.68/10.44 tff(33866,plain,
% 14.68/10.44 (~xuntil6(s339)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28545, 33865])).
% 14.68/10.44 tff(33867,plain,
% 14.68/10.44 (~until5(s339)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[29193, 33866])).
% 14.68/10.44 tff(33868,plain,
% 14.68/10.44 (~xuntil6(s338)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28528, 33867])).
% 14.68/10.44 tff(33869,plain,
% 14.68/10.44 (~always3(s340)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27618, 33860])).
% 14.68/10.44 tff(33870,plain,
% 14.68/10.44 (~always3(s339)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27630, 33869])).
% 14.68/10.44 tff(33871,plain,
% 14.68/10.44 (~always3(s338)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27642, 33870])).
% 14.68/10.44 tff(33872,plain,
% 14.68/10.44 (~node4(s338)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28515, 36, 33871])).
% 14.68/10.44 tff(33873,plain,
% 14.68/10.44 (xuntil6(s338) | (~until5(s338))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28522, 294, 33872])).
% 14.68/10.44 tff(33874,plain,
% 14.68/10.44 (~until5(s338)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33873, 33868])).
% 14.68/10.44 tff(33875,plain,
% 14.68/10.44 (~xuntil6(s337)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28511, 33874])).
% 14.68/10.44 tff(33876,plain,
% 14.68/10.44 (~always3(s337)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27654, 33871])).
% 14.68/10.44 tff(33877,plain,
% 14.68/10.44 (~node4(s337)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28498, 36, 33876])).
% 14.68/10.44 tff(33878,plain,
% 14.68/10.44 (xuntil6(s337) | (~until5(s337))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28505, 294, 33877])).
% 14.68/10.44 tff(33879,plain,
% 14.68/10.44 (~until5(s337)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33878, 33875])).
% 14.68/10.44 tff(33880,plain,
% 14.68/10.44 (~xuntil6(s336)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28494, 33879])).
% 14.68/10.44 tff(33881,plain,
% 14.68/10.44 (~always3(s336)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27666, 33876])).
% 14.68/10.44 tff(33882,plain,
% 14.68/10.44 (~node4(s336)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28481, 36, 33881])).
% 14.68/10.44 tff(33883,plain,
% 14.68/10.44 (xuntil6(s336) | (~until5(s336))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28488, 294, 33882])).
% 14.68/10.44 tff(33884,plain,
% 14.68/10.44 (~until5(s336)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33883, 33880])).
% 14.68/10.44 tff(33885,plain,
% 14.68/10.44 (~xuntil6(s335)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28477, 33884])).
% 14.68/10.44 tff(33886,plain,
% 14.68/10.44 (~always3(s335)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27678, 33881])).
% 14.68/10.44 tff(33887,plain,
% 14.68/10.44 (~node4(s335)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28464, 36, 33886])).
% 14.68/10.44 tff(33888,plain,
% 14.68/10.44 (xuntil6(s335) | (~until5(s335))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28471, 294, 33887])).
% 14.68/10.44 tff(33889,plain,
% 14.68/10.44 (~until5(s335)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33888, 33885])).
% 14.68/10.44 tff(33890,plain,
% 14.68/10.44 (~xuntil6(s334)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28460, 33889])).
% 14.68/10.44 tff(33891,plain,
% 14.68/10.44 (~always3(s334)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27690, 33886])).
% 14.68/10.44 tff(33892,plain,
% 14.68/10.44 (~node4(s334)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28447, 36, 33891])).
% 14.68/10.44 tff(33893,plain,
% 14.68/10.44 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28454, 294, 33892])).
% 14.68/10.44 tff(33894,plain,
% 14.68/10.44 (~until5(s334)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33893, 33890])).
% 14.68/10.44 tff(33895,plain,
% 14.68/10.44 (~xuntil6(s333)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28443, 33894])).
% 14.68/10.44 tff(33896,plain,
% 14.68/10.44 (~always3(s333)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27702, 33891])).
% 14.68/10.44 tff(33897,plain,
% 14.68/10.44 (~node4(s333)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28430, 36, 33896])).
% 14.68/10.44 tff(33898,plain,
% 14.68/10.44 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28437, 294, 33897])).
% 14.68/10.44 tff(33899,plain,
% 14.68/10.44 (~until5(s333)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33898, 33895])).
% 14.68/10.44 tff(33900,plain,
% 14.68/10.44 (~xuntil6(s332)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28426, 33899])).
% 14.68/10.44 tff(33901,plain,
% 14.68/10.44 (~always3(s332)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27714, 33896])).
% 14.68/10.44 tff(33902,plain,
% 14.68/10.44 (~node4(s332)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28413, 36, 33901])).
% 14.68/10.44 tff(33903,plain,
% 14.68/10.44 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28420, 294, 33902])).
% 14.68/10.44 tff(33904,plain,
% 14.68/10.44 (~until5(s332)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33903, 33900])).
% 14.68/10.44 tff(33905,plain,
% 14.68/10.44 (~xuntil6(s331)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28409, 33904])).
% 14.68/10.44 tff(33906,plain,
% 14.68/10.44 (~always3(s331)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27726, 33901])).
% 14.68/10.44 tff(33907,plain,
% 14.68/10.44 (~node4(s331)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28396, 36, 33906])).
% 14.68/10.44 tff(33908,plain,
% 14.68/10.44 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28403, 294, 33907])).
% 14.68/10.44 tff(33909,plain,
% 14.68/10.44 (~until5(s331)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33908, 33905])).
% 14.68/10.44 tff(33910,plain,
% 14.68/10.44 (~xuntil6(s330)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28392, 33909])).
% 14.68/10.44 tff(33911,plain,
% 14.68/10.44 (~always3(s330)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27738, 33906])).
% 14.68/10.44 tff(33912,plain,
% 14.68/10.44 (~node4(s330)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28379, 36, 33911])).
% 14.68/10.44 tff(33913,plain,
% 14.68/10.44 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28386, 294, 33912])).
% 14.68/10.44 tff(33914,plain,
% 14.68/10.44 (~until5(s330)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33913, 33910])).
% 14.68/10.44 tff(33915,plain,
% 14.68/10.44 (~xuntil6(s329)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28375, 33914])).
% 14.68/10.44 tff(33916,plain,
% 14.68/10.44 (~always3(s329)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27750, 33911])).
% 14.68/10.44 tff(33917,plain,
% 14.68/10.44 (~node4(s329)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28362, 36, 33916])).
% 14.68/10.44 tff(33918,plain,
% 14.68/10.44 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28369, 294, 33917])).
% 14.68/10.44 tff(33919,plain,
% 14.68/10.44 (~until5(s329)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33918, 33915])).
% 14.68/10.44 tff(33920,plain,
% 14.68/10.44 (~xuntil6(s328)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28358, 33919])).
% 14.68/10.44 tff(33921,plain,
% 14.68/10.44 (~always3(s328)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27762, 33916])).
% 14.68/10.44 tff(33922,plain,
% 14.68/10.44 (~node4(s328)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28345, 36, 33921])).
% 14.68/10.44 tff(33923,plain,
% 14.68/10.44 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28352, 294, 33922])).
% 14.68/10.44 tff(33924,plain,
% 14.68/10.44 (~until5(s328)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33923, 33920])).
% 14.68/10.44 tff(33925,plain,
% 14.68/10.44 (~xuntil6(s327)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28341, 33924])).
% 14.68/10.44 tff(33926,plain,
% 14.68/10.44 (~always3(s327)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27774, 33921])).
% 14.68/10.44 tff(33927,plain,
% 14.68/10.44 (~node4(s327)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28328, 36, 33926])).
% 14.68/10.44 tff(33928,plain,
% 14.68/10.44 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28335, 294, 33927])).
% 14.68/10.44 tff(33929,plain,
% 14.68/10.44 (~until5(s327)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33928, 33925])).
% 14.68/10.44 tff(33930,plain,
% 14.68/10.44 (~always3(s326)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27786, 33926])).
% 14.68/10.44 tff(33931,plain,
% 14.68/10.44 (~always3(s325)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27798, 33930])).
% 14.68/10.44 tff(33932,plain,
% 14.68/10.44 (~always3(s324)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27810, 33931])).
% 14.68/10.44 tff(33933,plain,
% 14.68/10.44 (~always3(s323)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27822, 33932])).
% 14.68/10.44 tff(33934,plain,
% 14.68/10.44 (~always3(s322)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27834, 33933])).
% 14.68/10.44 tff(33935,plain,
% 14.68/10.44 (~always3(s321)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27846, 33934])).
% 14.68/10.44 tff(33936,plain,
% 14.68/10.44 (~always3(s320)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27858, 33935])).
% 14.68/10.44 tff(33937,plain,
% 14.68/10.44 (~always3(s319)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27870, 33936])).
% 14.68/10.44 tff(33938,plain,
% 14.68/10.44 (~always3(s318)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27882, 33937])).
% 14.68/10.44 tff(33939,plain,
% 14.68/10.44 (~always3(s317)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27894, 33938])).
% 14.68/10.44 tff(33940,plain,
% 14.68/10.44 (~always3(s316)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27906, 33939])).
% 14.68/10.44 tff(33941,plain,
% 14.68/10.44 (~always3(s315)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27918, 33940])).
% 14.68/10.44 tff(33942,plain,
% 14.68/10.44 (~always3(s314)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27930, 33941])).
% 14.68/10.44 tff(33943,plain,
% 14.68/10.44 (~always3(s313)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27942, 33942])).
% 14.68/10.44 tff(33944,plain,
% 14.68/10.44 (~always3(s312)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27954, 33943])).
% 14.68/10.44 tff(33945,plain,
% 14.68/10.44 (~always3(s311)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27966, 33944])).
% 14.68/10.44 tff(33946,plain,
% 14.68/10.44 (~always3(s310)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27978, 33945])).
% 14.68/10.44 tff(33947,plain,
% 14.68/10.44 (~node4(s310)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28039, 36, 33946])).
% 14.68/10.44 tff(33948,plain,
% 14.68/10.44 (~always3(s309)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27990, 33946])).
% 14.68/10.44 tff(33949,plain,
% 14.68/10.44 (~always3(s308)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28006, 33948])).
% 14.68/10.44 tff(33950,plain,
% 14.68/10.44 (~node4(s308)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28010, 36, 33949])).
% 14.68/10.44 tff(33951,plain,
% 14.68/10.44 (xuntil6(s308)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28018, 33950])).
% 14.68/10.44 tff(33952,plain,
% 14.68/10.44 (until5(s309)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28023, 33951])).
% 14.68/10.44 tff(33953,plain,
% 14.68/10.44 (xuntil6(s309)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28918, 33952])).
% 14.68/10.44 tff(33954,plain,
% 14.68/10.44 (until5(s310)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28035, 33953])).
% 14.68/10.44 tff(33955,plain,
% 14.68/10.44 (xuntil6(s310)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28046, 294, 33954, 33947])).
% 14.68/10.44 tff(33956,plain,
% 14.68/10.44 (until5(s311)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28052, 33955])).
% 14.68/10.44 tff(33957,plain,
% 14.68/10.44 (~node4(s311)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28056, 36, 33945])).
% 14.68/10.44 tff(33958,plain,
% 14.68/10.44 (xuntil6(s311) | (~until5(s311))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28063, 294, 33957])).
% 14.68/10.44 tff(33959,plain,
% 14.68/10.44 (xuntil6(s311)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33958, 33956])).
% 14.68/10.44 tff(33960,plain,
% 14.68/10.44 (until5(s312)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28069, 33959])).
% 14.68/10.44 tff(33961,plain,
% 14.68/10.44 (~node4(s312)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28073, 36, 33944])).
% 14.68/10.44 tff(33962,plain,
% 14.68/10.44 (xuntil6(s312) | (~until5(s312))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28080, 294, 33961])).
% 14.68/10.44 tff(33963,plain,
% 14.68/10.44 (xuntil6(s312)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33962, 33960])).
% 14.68/10.44 tff(33964,plain,
% 14.68/10.44 (until5(s313)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28086, 33963])).
% 14.68/10.44 tff(33965,plain,
% 14.68/10.44 (~node4(s313)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28090, 36, 33943])).
% 14.68/10.44 tff(33966,plain,
% 14.68/10.44 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28097, 294, 33965])).
% 14.68/10.44 tff(33967,plain,
% 14.68/10.44 (xuntil6(s313)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33966, 33964])).
% 14.68/10.44 tff(33968,plain,
% 14.68/10.44 (until5(s314)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28103, 33967])).
% 14.68/10.44 tff(33969,plain,
% 14.68/10.44 (~node4(s314)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28107, 36, 33942])).
% 14.68/10.44 tff(33970,plain,
% 14.68/10.44 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28114, 294, 33969])).
% 14.68/10.44 tff(33971,plain,
% 14.68/10.44 (xuntil6(s314)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33970, 33968])).
% 14.68/10.44 tff(33972,plain,
% 14.68/10.44 (until5(s315)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28120, 33971])).
% 14.68/10.44 tff(33973,plain,
% 14.68/10.44 (~node4(s315)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28124, 36, 33941])).
% 14.68/10.44 tff(33974,plain,
% 14.68/10.44 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28131, 294, 33973])).
% 14.68/10.44 tff(33975,plain,
% 14.68/10.44 (xuntil6(s315)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33974, 33972])).
% 14.68/10.44 tff(33976,plain,
% 14.68/10.44 (until5(s316)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28137, 33975])).
% 14.68/10.44 tff(33977,plain,
% 14.68/10.44 (~node4(s316)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28141, 36, 33940])).
% 14.68/10.44 tff(33978,plain,
% 14.68/10.44 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28148, 294, 33977])).
% 14.68/10.44 tff(33979,plain,
% 14.68/10.44 (xuntil6(s316)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33978, 33976])).
% 14.68/10.44 tff(33980,plain,
% 14.68/10.44 (until5(s317)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28154, 33979])).
% 14.68/10.44 tff(33981,plain,
% 14.68/10.44 (~node4(s317)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28158, 36, 33939])).
% 14.68/10.44 tff(33982,plain,
% 14.68/10.44 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28165, 294, 33981])).
% 14.68/10.44 tff(33983,plain,
% 14.68/10.44 (xuntil6(s317)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33982, 33980])).
% 14.68/10.44 tff(33984,plain,
% 14.68/10.44 (until5(s318)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28171, 33983])).
% 14.68/10.44 tff(33985,plain,
% 14.68/10.44 (~node4(s318)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28175, 36, 33938])).
% 14.68/10.44 tff(33986,plain,
% 14.68/10.44 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28182, 294, 33985])).
% 14.68/10.44 tff(33987,plain,
% 14.68/10.44 (xuntil6(s318)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33986, 33984])).
% 14.68/10.44 tff(33988,plain,
% 14.68/10.44 (until5(s319)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28188, 33987])).
% 14.68/10.44 tff(33989,plain,
% 14.68/10.44 (~node4(s319)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28192, 36, 33937])).
% 14.68/10.44 tff(33990,plain,
% 14.68/10.44 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28199, 294, 33989])).
% 14.68/10.44 tff(33991,plain,
% 14.68/10.44 (xuntil6(s319)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33990, 33988])).
% 14.68/10.44 tff(33992,plain,
% 14.68/10.44 (until5(s320)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28205, 33991])).
% 14.68/10.44 tff(33993,plain,
% 14.68/10.44 (~node4(s320)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28209, 36, 33936])).
% 14.68/10.44 tff(33994,plain,
% 14.68/10.44 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28216, 294, 33993])).
% 14.68/10.44 tff(33995,plain,
% 14.68/10.44 (xuntil6(s320)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33994, 33992])).
% 14.68/10.44 tff(33996,plain,
% 14.68/10.44 (until5(s321)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28222, 33995])).
% 14.68/10.44 tff(33997,plain,
% 14.68/10.44 (~node4(s321)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28226, 36, 33935])).
% 14.68/10.44 tff(33998,plain,
% 14.68/10.44 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28233, 294, 33997])).
% 14.68/10.44 tff(33999,plain,
% 14.68/10.44 (xuntil6(s321)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33998, 33996])).
% 14.68/10.44 tff(34000,plain,
% 14.68/10.44 (until5(s322)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28239, 33999])).
% 14.68/10.44 tff(34001,plain,
% 14.68/10.44 (~node4(s322)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28243, 36, 33934])).
% 14.68/10.44 tff(34002,plain,
% 14.68/10.44 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28250, 294, 34001])).
% 14.68/10.44 tff(34003,plain,
% 14.68/10.44 (xuntil6(s322)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34002, 34000])).
% 14.68/10.44 tff(34004,plain,
% 14.68/10.44 (until5(s323)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28256, 34003])).
% 14.68/10.44 tff(34005,plain,
% 14.68/10.44 (~node4(s323)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28260, 36, 33933])).
% 14.68/10.44 tff(34006,plain,
% 14.68/10.44 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28267, 294, 34005])).
% 14.68/10.44 tff(34007,plain,
% 14.68/10.44 (xuntil6(s323)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34006, 34004])).
% 14.68/10.44 tff(34008,plain,
% 14.68/10.44 (until5(s324)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28273, 34007])).
% 14.68/10.44 tff(34009,plain,
% 14.68/10.44 (~node4(s324)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28277, 36, 33932])).
% 14.68/10.44 tff(34010,plain,
% 14.68/10.44 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28284, 294, 34009])).
% 14.68/10.44 tff(34011,plain,
% 14.68/10.44 (xuntil6(s324)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34010, 34008])).
% 14.68/10.44 tff(34012,plain,
% 14.68/10.44 (until5(s325)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28290, 34011])).
% 14.68/10.44 tff(34013,plain,
% 14.68/10.44 (~node4(s325)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28294, 36, 33931])).
% 14.68/10.44 tff(34014,plain,
% 14.68/10.44 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28301, 294, 34013])).
% 14.68/10.44 tff(34015,plain,
% 14.68/10.44 (xuntil6(s325)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34014, 34012])).
% 14.68/10.44 tff(34016,plain,
% 14.68/10.44 (until5(s326)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28307, 34015])).
% 14.68/10.44 tff(34017,plain,
% 14.68/10.44 (~node4(s326)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28311, 36, 33930])).
% 14.68/10.44 tff(34018,plain,
% 14.68/10.44 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28318, 294, 34017])).
% 14.68/10.44 tff(34019,plain,
% 14.68/10.44 (xuntil6(s326)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34018, 34016])).
% 14.68/10.44 tff(34020,plain,
% 14.68/10.44 ($false),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28324, 34019, 33929])).
% 14.68/10.44 tff(34021,plain,(always3(s345) | (~until5(s308)) | xuntil6(s345)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.44 tff(34022,plain,
% 14.68/10.44 (always3(s345)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34021, 33841, 31976])).
% 14.68/10.44 tff(34023,plain,
% 14.68/10.44 (~m_main_v_state(s345, c_busy)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[29059, 85, 34022])).
% 14.68/10.44 tff(34024,assumption,(~m_main_v_state(s345, c_ready)), introduced(assumption)).
% 14.68/10.44 tff(34025,assumption,(~m_main_v_state(s345, c_busy)), introduced(assumption)).
% 14.68/10.44 tff(34026,plain,
% 14.68/10.44 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s345, c_busy) | m_main_v_state(s345, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s345, c_busy) | m_main_v_state(s345, c_ready))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34027,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s345, c_busy) | m_main_v_state(s345, c_ready))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34028,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s345, c_busy) | m_main_v_state(s345, c_ready)),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34027, 34026])).
% 14.68/10.44 tff(34029,plain,
% 14.68/10.44 ($false),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34028, 102, 34025, 34024])).
% 14.68/10.44 tff(34030,plain,(m_main_v_state(s345, c_ready) | m_main_v_state(s345, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.44 tff(34031,plain,
% 14.68/10.44 (m_main_v_state(s345, c_ready)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34030, 34023])).
% 14.68/10.44 tff(34032,plain,
% 14.68/10.44 (always3(s346)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27558, 34022])).
% 14.68/10.44 tff(34033,plain,
% 14.68/10.44 (~m_main_v_state(s346, c_busy)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[33837, 85, 34032])).
% 14.68/10.44 tff(34034,plain,
% 14.68/10.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s345, s346)) | node2(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s345, s346)) | node2(s345, s346))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34035,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s345, s346)) | node2(s345, s346))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34036,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s345, s346)) | node2(s345, s346)),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34035, 34034])).
% 14.68/10.44 tff(34037,plain,
% 14.68/10.44 (node2(s345, s346)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34036, 7, 27554])).
% 14.68/10.44 tff(34038,plain,
% 14.68/10.44 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s345, c_ready)) | (~node2(s345, s346)) | m_main_v_state(s346, c_busy) | (~m_main_v_request(s345)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s345, c_ready)) | (~node2(s345, s346)) | m_main_v_state(s346, c_busy) | (~m_main_v_request(s345)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34039,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s345, c_ready)) | (~node2(s345, s346)) | m_main_v_state(s346, c_busy) | (~m_main_v_request(s345)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34040,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s345, c_ready)) | (~node2(s345, s346)) | m_main_v_state(s346, c_busy) | (~m_main_v_request(s345))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34039, 34038])).
% 14.68/10.44 tff(34041,plain,
% 14.68/10.44 ((~m_main_v_state(s345, c_ready)) | m_main_v_state(s346, c_busy) | (~m_main_v_request(s345))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34040, 73, 34037])).
% 14.68/10.44 tff(34042,plain,
% 14.68/10.44 (~m_main_v_request(s345)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34041, 34033, 34031])).
% 14.68/10.44 tff(34043,plain,
% 14.68/10.44 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s345) | (~node4(s345)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s345) | (~node4(s345)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34044,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s345) | (~node4(s345)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34045,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s345) | (~node4(s345))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34044, 34043])).
% 14.68/10.44 tff(34046,plain,
% 14.68/10.44 (~node4(s345)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34045, 21, 34042])).
% 14.68/10.44 tff(34047,plain,
% 14.68/10.44 (node4(s345) | (~until5(s345))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28641, 294, 33841])).
% 14.68/10.44 tff(34048,plain,
% 14.68/10.44 (~until5(s345)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34047, 34046])).
% 14.68/10.44 tff(34049,plain,
% 14.68/10.44 (~xuntil6(s344)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28630, 34048])).
% 14.68/10.44 tff(34050,plain,
% 14.68/10.44 (~until5(s344)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[29086, 34049])).
% 14.68/10.44 tff(34051,plain,
% 14.68/10.44 (~xuntil6(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28613, 34050])).
% 14.68/10.44 tff(34052,assumption,(~xuntil6(s343)), introduced(assumption)).
% 14.68/10.44 tff(34053,assumption,(until5(s342)), introduced(assumption)).
% 14.68/10.44 tff(34054,assumption,(~always3(s343)), introduced(assumption)).
% 14.68/10.44 tff(34055,plain,
% 14.68/10.44 (~node4(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28600, 36, 34054])).
% 14.68/10.44 tff(34056,plain,
% 14.68/10.44 (node4(s343) | (~until5(s343))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28607, 294, 34052])).
% 14.68/10.44 tff(34057,plain,
% 14.68/10.44 (~until5(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34056, 34055])).
% 14.68/10.44 tff(34058,plain,
% 14.68/10.44 (~always3(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27594, 34054])).
% 14.68/10.44 tff(34059,plain,
% 14.68/10.44 (~node4(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28583, 36, 34058])).
% 14.68/10.44 tff(34060,plain,
% 14.68/10.44 (xuntil6(s342) | node4(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28590, 294, 34053])).
% 14.68/10.44 tff(34061,plain,
% 14.68/10.44 (xuntil6(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34060, 34059])).
% 14.68/10.44 tff(34062,plain,
% 14.68/10.44 ($false),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28596, 34061, 34057])).
% 14.68/10.44 tff(34063,plain,(always3(s343) | (~until5(s342)) | xuntil6(s343)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.44 tff(34064,plain,
% 14.68/10.44 (always3(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34063, 34053, 34052])).
% 14.68/10.44 tff(34065,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s343)) | (~m_main_v_state(s343, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s343)) | (~m_main_v_state(s343, c_busy)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34066,plain,
% 14.68/10.44 (((~m_main_v_state(s343, c_busy)) | (~always3(s343))) <=> ((~always3(s343)) | (~m_main_v_state(s343, c_busy)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34067,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s343, c_busy)) | (~always3(s343)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s343)) | (~m_main_v_state(s343, c_busy))))),
% 14.68/10.44 inference(monotonicity,[status(thm)],[34066])).
% 14.68/10.44 tff(34068,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s343, c_busy)) | (~always3(s343)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s343)) | (~m_main_v_state(s343, c_busy)))),
% 14.68/10.44 inference(transitivity,[status(thm)],[34067, 34065])).
% 14.68/10.44 tff(34069,plain,
% 14.68/10.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s343, c_busy)) | (~always3(s343)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34070,plain,
% 14.68/10.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s343)) | (~m_main_v_state(s343, c_busy))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34069, 34068])).
% 14.68/10.44 tff(34071,plain,
% 14.68/10.44 (~m_main_v_state(s343, c_busy)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34070, 85, 34064])).
% 14.68/10.44 tff(34072,plain,
% 14.68/10.44 (always3(s344)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27582, 34064])).
% 14.68/10.44 tff(34073,plain,
% 14.68/10.44 (~m_main_v_state(s344, c_busy)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[29066, 85, 34072])).
% 14.68/10.44 tff(34074,assumption,(~m_main_v_state(s343, c_ready)), introduced(assumption)).
% 14.68/10.44 tff(34075,assumption,(~m_main_v_state(s343, c_busy)), introduced(assumption)).
% 14.68/10.44 tff(34076,plain,
% 14.68/10.44 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s343, c_busy) | m_main_v_state(s343, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s343, c_busy) | m_main_v_state(s343, c_ready))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34077,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s343, c_busy) | m_main_v_state(s343, c_ready))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34078,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s343, c_busy) | m_main_v_state(s343, c_ready)),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34077, 34076])).
% 14.68/10.44 tff(34079,plain,
% 14.68/10.44 ($false),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34078, 102, 34075, 34074])).
% 14.68/10.44 tff(34080,plain,(m_main_v_state(s343, c_ready) | m_main_v_state(s343, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.44 tff(34081,plain,
% 14.68/10.44 (m_main_v_state(s343, c_ready)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34080, 34071])).
% 14.68/10.44 tff(34082,plain,
% 14.68/10.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s343, s344)) | node2(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s343, s344)) | node2(s343, s344))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34083,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s343, s344)) | node2(s343, s344))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34084,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s343, s344)) | node2(s343, s344)),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34083, 34082])).
% 14.68/10.44 tff(34085,plain,
% 14.68/10.44 (node2(s343, s344)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34084, 7, 27578])).
% 14.68/10.44 tff(34086,plain,
% 14.68/10.44 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s343, c_ready)) | (~node2(s343, s344)) | m_main_v_state(s344, c_busy) | (~m_main_v_request(s343)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s343, c_ready)) | (~node2(s343, s344)) | m_main_v_state(s344, c_busy) | (~m_main_v_request(s343)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34087,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s343, c_ready)) | (~node2(s343, s344)) | m_main_v_state(s344, c_busy) | (~m_main_v_request(s343)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34088,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s343, c_ready)) | (~node2(s343, s344)) | m_main_v_state(s344, c_busy) | (~m_main_v_request(s343))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34087, 34086])).
% 14.68/10.44 tff(34089,plain,
% 14.68/10.44 ((~m_main_v_state(s343, c_ready)) | m_main_v_state(s344, c_busy) | (~m_main_v_request(s343))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34088, 73, 34085])).
% 14.68/10.44 tff(34090,plain,
% 14.68/10.44 (~m_main_v_request(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34089, 34081, 34073])).
% 14.68/10.44 tff(34091,plain,
% 14.68/10.44 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s343) | (~node4(s343)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s343) | (~node4(s343)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34092,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s343) | (~node4(s343)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34093,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s343) | (~node4(s343))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 14.68/10.44 tff(34094,plain,
% 14.68/10.44 (~node4(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34093, 21, 34090])).
% 14.68/10.44 tff(34095,plain,
% 14.68/10.44 (~until5(s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34056, 34094])).
% 14.68/10.44 tff(34096,plain,
% 14.68/10.44 (~xuntil6(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28596, 34095])).
% 14.68/10.44 tff(34097,plain,
% 14.68/10.44 (node4(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34060, 34096])).
% 14.68/10.44 tff(34098,plain,
% 14.68/10.44 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s342) | (~node4(s342)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s342) | (~node4(s342)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34099,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s342) | (~node4(s342)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34100,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s342) | (~node4(s342))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34099, 34098])).
% 14.68/10.44 tff(34101,plain,
% 14.68/10.44 (m_main_v_request(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34100, 21, 34097])).
% 14.68/10.44 tff(34102,plain,
% 14.68/10.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s342, s343)) | node2(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s342, s343)) | node2(s342, s343))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34103,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s342, s343)) | node2(s342, s343))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34104,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s342, s343)) | node2(s342, s343)),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34103, 34102])).
% 14.68/10.44 tff(34105,plain,
% 14.68/10.44 (node2(s342, s343)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34104, 7, 27590])).
% 14.68/10.44 tff(34106,plain,
% 14.68/10.44 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s342, c_ready)) | (~node2(s342, s343)) | m_main_v_state(s343, c_busy) | (~m_main_v_request(s342)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s342, c_ready)) | (~node2(s342, s343)) | m_main_v_state(s343, c_busy) | (~m_main_v_request(s342)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34107,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s342, c_ready)) | (~node2(s342, s343)) | m_main_v_state(s343, c_busy) | (~m_main_v_request(s342)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34108,plain,
% 14.68/10.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s342, c_ready)) | (~node2(s342, s343)) | m_main_v_state(s343, c_busy) | (~m_main_v_request(s342))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34107, 34106])).
% 14.68/10.44 tff(34109,plain,
% 14.68/10.44 ((~m_main_v_state(s342, c_ready)) | m_main_v_state(s343, c_busy) | (~m_main_v_request(s342))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34108, 73, 34105])).
% 14.68/10.44 tff(34110,plain,
% 14.68/10.44 (~m_main_v_state(s342, c_ready)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34109, 34101, 34071])).
% 14.68/10.44 tff(34111,plain,
% 14.68/10.44 (always3(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28583, 36, 34097])).
% 14.68/10.44 tff(34112,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s342)) | (~m_main_v_state(s342, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s342)) | (~m_main_v_state(s342, c_busy)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34113,plain,
% 14.68/10.44 (((~m_main_v_state(s342, c_busy)) | (~always3(s342))) <=> ((~always3(s342)) | (~m_main_v_state(s342, c_busy)))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34114,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s342, c_busy)) | (~always3(s342)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s342)) | (~m_main_v_state(s342, c_busy))))),
% 14.68/10.44 inference(monotonicity,[status(thm)],[34113])).
% 14.68/10.44 tff(34115,plain,
% 14.68/10.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s342, c_busy)) | (~always3(s342)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s342)) | (~m_main_v_state(s342, c_busy)))),
% 14.68/10.44 inference(transitivity,[status(thm)],[34114, 34112])).
% 14.68/10.44 tff(34116,plain,
% 14.68/10.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s342, c_busy)) | (~always3(s342)))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34117,plain,
% 14.68/10.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s342)) | (~m_main_v_state(s342, c_busy))),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34116, 34115])).
% 14.68/10.44 tff(34118,plain,
% 14.68/10.44 (~m_main_v_state(s342, c_busy)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34117, 85, 34111])).
% 14.68/10.44 tff(34119,plain,
% 14.68/10.44 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s342, c_busy) | m_main_v_state(s342, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s342, c_busy) | m_main_v_state(s342, c_ready))),
% 14.68/10.44 inference(rewrite,[status(thm)],[])).
% 14.68/10.44 tff(34120,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s342, c_busy) | m_main_v_state(s342, c_ready))),
% 14.68/10.44 inference(quant_inst,[status(thm)],[])).
% 14.68/10.44 tff(34121,plain,
% 14.68/10.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s342, c_busy) | m_main_v_state(s342, c_ready)),
% 14.68/10.44 inference(modus_ponens,[status(thm)],[34120, 34119])).
% 14.68/10.44 tff(34122,plain,
% 14.68/10.44 ($false),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34121, 102, 34118, 34110])).
% 14.68/10.44 tff(34123,plain,((~until5(s342)) | xuntil6(s343)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.44 tff(34124,plain,
% 14.68/10.44 (~until5(s342)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34123, 34051])).
% 14.68/10.44 tff(34125,plain,
% 14.68/10.44 (~xuntil6(s341)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28579, 34124])).
% 14.68/10.44 tff(34126,assumption,(~always3(s341)), introduced(assumption)).
% 14.68/10.44 tff(34127,plain,
% 14.68/10.44 (~always3(s340)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27618, 34126])).
% 14.68/10.44 tff(34128,plain,
% 14.68/10.44 (~always3(s339)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27630, 34127])).
% 14.68/10.44 tff(34129,plain,
% 14.68/10.44 (~always3(s338)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27642, 34128])).
% 14.68/10.44 tff(34130,plain,
% 14.68/10.44 (~node4(s338)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28515, 36, 34129])).
% 14.68/10.44 tff(34131,plain,
% 14.68/10.44 (~node4(s341)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28566, 36, 34126])).
% 14.68/10.44 tff(34132,assumption,(~xuntil6(s341)), introduced(assumption)).
% 14.68/10.44 tff(34133,plain,
% 14.68/10.44 (node4(s341) | (~until5(s341))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28573, 294, 34132])).
% 14.68/10.44 tff(34134,plain,
% 14.68/10.44 (~until5(s341)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34133, 34131])).
% 14.68/10.44 tff(34135,plain,
% 14.68/10.44 (~xuntil6(s340)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28562, 34134])).
% 14.68/10.44 tff(34136,plain,
% 14.68/10.44 (~until5(s340)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[29136, 34135])).
% 14.68/10.44 tff(34137,plain,
% 14.68/10.44 (~xuntil6(s339)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28545, 34136])).
% 14.68/10.44 tff(34138,plain,
% 14.68/10.44 (~until5(s339)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[29193, 34137])).
% 14.68/10.44 tff(34139,plain,
% 14.68/10.44 (~xuntil6(s338)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28528, 34138])).
% 14.68/10.44 tff(34140,plain,
% 14.68/10.44 (~until5(s338)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28522, 294, 34139, 34130])).
% 14.68/10.44 tff(34141,plain,
% 14.68/10.44 (~xuntil6(s337)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28511, 34140])).
% 14.68/10.44 tff(34142,plain,
% 14.68/10.44 (~always3(s337)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27654, 34129])).
% 14.68/10.44 tff(34143,plain,
% 14.68/10.44 (~node4(s337)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28498, 36, 34142])).
% 14.68/10.44 tff(34144,plain,
% 14.68/10.44 (xuntil6(s337) | (~until5(s337))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28505, 294, 34143])).
% 14.68/10.44 tff(34145,plain,
% 14.68/10.44 (~until5(s337)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34144, 34141])).
% 14.68/10.44 tff(34146,plain,
% 14.68/10.44 (~xuntil6(s336)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28494, 34145])).
% 14.68/10.44 tff(34147,plain,
% 14.68/10.44 (~always3(s336)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27666, 34142])).
% 14.68/10.44 tff(34148,plain,
% 14.68/10.44 (~node4(s336)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28481, 36, 34147])).
% 14.68/10.44 tff(34149,plain,
% 14.68/10.44 (xuntil6(s336) | (~until5(s336))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28488, 294, 34148])).
% 14.68/10.44 tff(34150,plain,
% 14.68/10.44 (~until5(s336)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34149, 34146])).
% 14.68/10.44 tff(34151,plain,
% 14.68/10.44 (~xuntil6(s335)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28477, 34150])).
% 14.68/10.44 tff(34152,plain,
% 14.68/10.44 (~always3(s335)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27678, 34147])).
% 14.68/10.44 tff(34153,plain,
% 14.68/10.44 (~node4(s335)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28464, 36, 34152])).
% 14.68/10.44 tff(34154,plain,
% 14.68/10.44 (xuntil6(s335) | (~until5(s335))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28471, 294, 34153])).
% 14.68/10.44 tff(34155,plain,
% 14.68/10.44 (~until5(s335)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34154, 34151])).
% 14.68/10.44 tff(34156,plain,
% 14.68/10.44 (~xuntil6(s334)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28460, 34155])).
% 14.68/10.44 tff(34157,plain,
% 14.68/10.44 (~always3(s334)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27690, 34152])).
% 14.68/10.44 tff(34158,plain,
% 14.68/10.44 (~node4(s334)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28447, 36, 34157])).
% 14.68/10.44 tff(34159,plain,
% 14.68/10.44 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28454, 294, 34158])).
% 14.68/10.44 tff(34160,plain,
% 14.68/10.44 (~until5(s334)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34159, 34156])).
% 14.68/10.44 tff(34161,plain,
% 14.68/10.44 (~xuntil6(s333)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28443, 34160])).
% 14.68/10.44 tff(34162,plain,
% 14.68/10.44 (~always3(s333)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27702, 34157])).
% 14.68/10.44 tff(34163,plain,
% 14.68/10.44 (~node4(s333)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28430, 36, 34162])).
% 14.68/10.44 tff(34164,plain,
% 14.68/10.44 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28437, 294, 34163])).
% 14.68/10.44 tff(34165,plain,
% 14.68/10.44 (~until5(s333)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34164, 34161])).
% 14.68/10.44 tff(34166,plain,
% 14.68/10.44 (~xuntil6(s332)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28426, 34165])).
% 14.68/10.44 tff(34167,plain,
% 14.68/10.44 (~always3(s332)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27714, 34162])).
% 14.68/10.44 tff(34168,plain,
% 14.68/10.44 (~node4(s332)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28413, 36, 34167])).
% 14.68/10.44 tff(34169,plain,
% 14.68/10.44 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28420, 294, 34168])).
% 14.68/10.44 tff(34170,plain,
% 14.68/10.44 (~until5(s332)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34169, 34166])).
% 14.68/10.44 tff(34171,plain,
% 14.68/10.44 (~xuntil6(s331)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28409, 34170])).
% 14.68/10.44 tff(34172,plain,
% 14.68/10.44 (~always3(s331)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27726, 34167])).
% 14.68/10.44 tff(34173,plain,
% 14.68/10.44 (~node4(s331)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28396, 36, 34172])).
% 14.68/10.44 tff(34174,plain,
% 14.68/10.44 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28403, 294, 34173])).
% 14.68/10.44 tff(34175,plain,
% 14.68/10.44 (~until5(s331)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34174, 34171])).
% 14.68/10.44 tff(34176,plain,
% 14.68/10.44 (~xuntil6(s330)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28392, 34175])).
% 14.68/10.44 tff(34177,plain,
% 14.68/10.44 (~always3(s330)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27738, 34172])).
% 14.68/10.44 tff(34178,plain,
% 14.68/10.44 (~node4(s330)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28379, 36, 34177])).
% 14.68/10.44 tff(34179,plain,
% 14.68/10.44 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28386, 294, 34178])).
% 14.68/10.44 tff(34180,plain,
% 14.68/10.44 (~until5(s330)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34179, 34176])).
% 14.68/10.44 tff(34181,plain,
% 14.68/10.44 (~xuntil6(s329)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28375, 34180])).
% 14.68/10.44 tff(34182,plain,
% 14.68/10.44 (~always3(s329)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27750, 34177])).
% 14.68/10.44 tff(34183,plain,
% 14.68/10.44 (~node4(s329)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28362, 36, 34182])).
% 14.68/10.44 tff(34184,plain,
% 14.68/10.44 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28369, 294, 34183])).
% 14.68/10.44 tff(34185,plain,
% 14.68/10.44 (~until5(s329)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34184, 34181])).
% 14.68/10.44 tff(34186,plain,
% 14.68/10.44 (~xuntil6(s328)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28358, 34185])).
% 14.68/10.44 tff(34187,plain,
% 14.68/10.44 (~always3(s328)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27762, 34182])).
% 14.68/10.44 tff(34188,plain,
% 14.68/10.44 (~node4(s328)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28345, 36, 34187])).
% 14.68/10.44 tff(34189,plain,
% 14.68/10.44 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28352, 294, 34188])).
% 14.68/10.44 tff(34190,plain,
% 14.68/10.44 (~until5(s328)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34189, 34186])).
% 14.68/10.44 tff(34191,plain,
% 14.68/10.44 (~xuntil6(s327)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28341, 34190])).
% 14.68/10.44 tff(34192,plain,
% 14.68/10.44 (~always3(s327)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[27774, 34187])).
% 14.68/10.44 tff(34193,plain,
% 14.68/10.44 (~node4(s327)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28328, 36, 34192])).
% 14.68/10.44 tff(34194,plain,
% 14.68/10.44 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28335, 294, 34193])).
% 14.68/10.44 tff(34195,plain,
% 14.68/10.44 (~until5(s327)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[34194, 34191])).
% 14.68/10.44 tff(34196,plain,
% 14.68/10.44 (~xuntil6(s326)),
% 14.68/10.44 inference(unit_resolution,[status(thm)],[28324, 34195])).
% 14.68/10.45 tff(34197,plain,
% 14.68/10.45 (~always3(s326)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27786, 34192])).
% 14.68/10.45 tff(34198,plain,
% 14.68/10.45 (~node4(s326)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28311, 36, 34197])).
% 14.68/10.45 tff(34199,plain,
% 14.68/10.45 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28318, 294, 34198])).
% 14.68/10.45 tff(34200,plain,
% 14.68/10.45 (~until5(s326)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34199, 34196])).
% 14.68/10.45 tff(34201,plain,
% 14.68/10.45 (~xuntil6(s325)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28307, 34200])).
% 14.68/10.45 tff(34202,plain,
% 14.68/10.45 (~always3(s325)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27798, 34197])).
% 14.68/10.45 tff(34203,plain,
% 14.68/10.45 (~node4(s325)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28294, 36, 34202])).
% 14.68/10.45 tff(34204,plain,
% 14.68/10.45 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28301, 294, 34203])).
% 14.68/10.45 tff(34205,plain,
% 14.68/10.45 (~until5(s325)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34204, 34201])).
% 14.68/10.45 tff(34206,plain,
% 14.68/10.45 (~xuntil6(s324)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28290, 34205])).
% 14.68/10.45 tff(34207,plain,
% 14.68/10.45 (~always3(s324)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27810, 34202])).
% 14.68/10.45 tff(34208,plain,
% 14.68/10.45 (~always3(s323)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27822, 34207])).
% 14.68/10.45 tff(34209,plain,
% 14.68/10.45 (~always3(s322)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27834, 34208])).
% 14.68/10.45 tff(34210,plain,
% 14.68/10.45 (~always3(s321)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27846, 34209])).
% 14.68/10.45 tff(34211,plain,
% 14.68/10.45 (~always3(s320)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27858, 34210])).
% 14.68/10.45 tff(34212,plain,
% 14.68/10.45 (~always3(s319)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27870, 34211])).
% 14.68/10.45 tff(34213,plain,
% 14.68/10.45 (~always3(s318)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27882, 34212])).
% 14.68/10.45 tff(34214,plain,
% 14.68/10.45 (~always3(s317)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27894, 34213])).
% 14.68/10.45 tff(34215,plain,
% 14.68/10.45 (~always3(s316)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27906, 34214])).
% 14.68/10.45 tff(34216,plain,
% 14.68/10.45 (~always3(s315)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27918, 34215])).
% 14.68/10.45 tff(34217,plain,
% 14.68/10.45 (~always3(s314)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27930, 34216])).
% 14.68/10.45 tff(34218,plain,
% 14.68/10.45 (~always3(s313)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27942, 34217])).
% 14.68/10.45 tff(34219,plain,
% 14.68/10.45 (~always3(s312)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27954, 34218])).
% 14.68/10.45 tff(34220,plain,
% 14.68/10.45 (~always3(s311)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27966, 34219])).
% 14.68/10.45 tff(34221,plain,
% 14.68/10.45 (~always3(s310)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27978, 34220])).
% 14.68/10.45 tff(34222,plain,
% 14.68/10.45 (~node4(s310)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28039, 36, 34221])).
% 14.68/10.45 tff(34223,plain,
% 14.68/10.45 (~always3(s309)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27990, 34221])).
% 14.68/10.45 tff(34224,plain,
% 14.68/10.45 (~always3(s308)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28006, 34223])).
% 14.68/10.45 tff(34225,plain,
% 14.68/10.45 (~node4(s308)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28010, 36, 34224])).
% 14.68/10.45 tff(34226,plain,
% 14.68/10.45 (xuntil6(s308)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28018, 34225])).
% 14.68/10.45 tff(34227,plain,
% 14.68/10.45 (until5(s309)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28023, 34226])).
% 14.68/10.45 tff(34228,plain,
% 14.68/10.45 (xuntil6(s309)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28918, 34227])).
% 14.68/10.45 tff(34229,plain,
% 14.68/10.45 (until5(s310)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28035, 34228])).
% 14.68/10.45 tff(34230,plain,
% 14.68/10.45 (xuntil6(s310)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28046, 294, 34229, 34222])).
% 14.68/10.45 tff(34231,plain,
% 14.68/10.45 (until5(s311)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28052, 34230])).
% 14.68/10.45 tff(34232,plain,
% 14.68/10.45 (~node4(s311)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28056, 36, 34220])).
% 14.68/10.45 tff(34233,plain,
% 14.68/10.45 (xuntil6(s311) | (~until5(s311))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28063, 294, 34232])).
% 14.68/10.45 tff(34234,plain,
% 14.68/10.45 (xuntil6(s311)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34233, 34231])).
% 14.68/10.45 tff(34235,plain,
% 14.68/10.45 (until5(s312)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28069, 34234])).
% 14.68/10.45 tff(34236,plain,
% 14.68/10.45 (~node4(s312)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28073, 36, 34219])).
% 14.68/10.45 tff(34237,plain,
% 14.68/10.45 (xuntil6(s312) | (~until5(s312))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28080, 294, 34236])).
% 14.68/10.45 tff(34238,plain,
% 14.68/10.45 (xuntil6(s312)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34237, 34235])).
% 14.68/10.45 tff(34239,plain,
% 14.68/10.45 (until5(s313)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28086, 34238])).
% 14.68/10.45 tff(34240,plain,
% 14.68/10.45 (~node4(s313)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28090, 36, 34218])).
% 14.68/10.45 tff(34241,plain,
% 14.68/10.45 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28097, 294, 34240])).
% 14.68/10.45 tff(34242,plain,
% 14.68/10.45 (xuntil6(s313)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34241, 34239])).
% 14.68/10.45 tff(34243,plain,
% 14.68/10.45 (until5(s314)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28103, 34242])).
% 14.68/10.45 tff(34244,plain,
% 14.68/10.45 (~node4(s314)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28107, 36, 34217])).
% 14.68/10.45 tff(34245,plain,
% 14.68/10.45 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28114, 294, 34244])).
% 14.68/10.45 tff(34246,plain,
% 14.68/10.45 (xuntil6(s314)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34245, 34243])).
% 14.68/10.45 tff(34247,plain,
% 14.68/10.45 (until5(s315)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28120, 34246])).
% 14.68/10.45 tff(34248,plain,
% 14.68/10.45 (~node4(s315)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28124, 36, 34216])).
% 14.68/10.45 tff(34249,plain,
% 14.68/10.45 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28131, 294, 34248])).
% 14.68/10.45 tff(34250,plain,
% 14.68/10.45 (xuntil6(s315)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34249, 34247])).
% 14.68/10.45 tff(34251,plain,
% 14.68/10.45 (until5(s316)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28137, 34250])).
% 14.68/10.45 tff(34252,plain,
% 14.68/10.45 (~node4(s316)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28141, 36, 34215])).
% 14.68/10.45 tff(34253,plain,
% 14.68/10.45 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28148, 294, 34252])).
% 14.68/10.45 tff(34254,plain,
% 14.68/10.45 (xuntil6(s316)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34253, 34251])).
% 14.68/10.45 tff(34255,plain,
% 14.68/10.45 (until5(s317)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28154, 34254])).
% 14.68/10.45 tff(34256,plain,
% 14.68/10.45 (~node4(s317)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28158, 36, 34214])).
% 14.68/10.45 tff(34257,plain,
% 14.68/10.45 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28165, 294, 34256])).
% 14.68/10.45 tff(34258,plain,
% 14.68/10.45 (xuntil6(s317)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34257, 34255])).
% 14.68/10.45 tff(34259,plain,
% 14.68/10.45 (until5(s318)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28171, 34258])).
% 14.68/10.45 tff(34260,plain,
% 14.68/10.45 (~node4(s318)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28175, 36, 34213])).
% 14.68/10.45 tff(34261,plain,
% 14.68/10.45 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28182, 294, 34260])).
% 14.68/10.45 tff(34262,plain,
% 14.68/10.45 (xuntil6(s318)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34261, 34259])).
% 14.68/10.45 tff(34263,plain,
% 14.68/10.45 (until5(s319)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28188, 34262])).
% 14.68/10.45 tff(34264,plain,
% 14.68/10.45 (~node4(s319)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28192, 36, 34212])).
% 14.68/10.45 tff(34265,plain,
% 14.68/10.45 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28199, 294, 34264])).
% 14.68/10.45 tff(34266,plain,
% 14.68/10.45 (xuntil6(s319)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34265, 34263])).
% 14.68/10.45 tff(34267,plain,
% 14.68/10.45 (until5(s320)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28205, 34266])).
% 14.68/10.45 tff(34268,plain,
% 14.68/10.45 (~node4(s320)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28209, 36, 34211])).
% 14.68/10.45 tff(34269,plain,
% 14.68/10.45 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28216, 294, 34268])).
% 14.68/10.45 tff(34270,plain,
% 14.68/10.45 (xuntil6(s320)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34269, 34267])).
% 14.68/10.45 tff(34271,plain,
% 14.68/10.45 (until5(s321)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28222, 34270])).
% 14.68/10.45 tff(34272,plain,
% 14.68/10.45 (~node4(s321)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28226, 36, 34210])).
% 14.68/10.45 tff(34273,plain,
% 14.68/10.45 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28233, 294, 34272])).
% 14.68/10.45 tff(34274,plain,
% 14.68/10.45 (xuntil6(s321)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34273, 34271])).
% 14.68/10.45 tff(34275,plain,
% 14.68/10.45 (until5(s322)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28239, 34274])).
% 14.68/10.45 tff(34276,plain,
% 14.68/10.45 (~node4(s322)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28243, 36, 34209])).
% 14.68/10.45 tff(34277,plain,
% 14.68/10.45 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28250, 294, 34276])).
% 14.68/10.45 tff(34278,plain,
% 14.68/10.45 (xuntil6(s322)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34277, 34275])).
% 14.68/10.45 tff(34279,plain,
% 14.68/10.45 (until5(s323)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28256, 34278])).
% 14.68/10.45 tff(34280,plain,
% 14.68/10.45 (~node4(s323)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28260, 36, 34208])).
% 14.68/10.45 tff(34281,plain,
% 14.68/10.45 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28267, 294, 34280])).
% 14.68/10.45 tff(34282,plain,
% 14.68/10.45 (xuntil6(s323)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34281, 34279])).
% 14.68/10.45 tff(34283,plain,
% 14.68/10.45 (until5(s324)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28273, 34282])).
% 14.68/10.45 tff(34284,plain,
% 14.68/10.45 (~node4(s324)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28277, 36, 34207])).
% 14.68/10.45 tff(34285,plain,
% 14.68/10.45 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28284, 294, 34284])).
% 14.68/10.45 tff(34286,plain,
% 14.68/10.45 ($false),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34285, 34283, 34206])).
% 14.68/10.45 tff(34287,plain,(always3(s341) | (~until5(s308)) | xuntil6(s341)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.45 tff(34288,plain,
% 14.68/10.45 (always3(s341)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34287, 34125, 31976])).
% 14.68/10.45 tff(34289,plain,
% 14.68/10.45 (~m_main_v_state(s341, c_busy)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[29113, 85, 34288])).
% 14.68/10.45 tff(34290,assumption,(~m_main_v_state(s341, c_ready)), introduced(assumption)).
% 14.68/10.45 tff(34291,assumption,(~m_main_v_state(s341, c_busy)), introduced(assumption)).
% 14.68/10.45 tff(34292,assumption,(node1(s340)), introduced(assumption)).
% 14.68/10.45 tff(34293,plain,
% 14.68/10.45 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s340, c_ready) | (~node1(s340)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s340, c_ready) | (~node1(s340)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34294,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s340, c_ready) | (~node1(s340)))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34295,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s340, c_ready) | (~node1(s340))),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34294, 34293])).
% 14.68/10.45 tff(34296,plain,
% 14.68/10.45 (m_main_v_state(s340, c_ready)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34295, 3581, 34292])).
% 14.68/10.45 tff(34297,plain,
% 14.68/10.45 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s340) | (~node1(s340)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s340) | (~node1(s340)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34298,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s340) | (~node1(s340)))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34299,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s340) | (~node1(s340))),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34298, 34297])).
% 14.68/10.45 tff(34300,plain,
% 14.68/10.45 (m_main_v_request(s340)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34299, 3568, 34292])).
% 14.68/10.45 tff(34301,plain,
% 14.68/10.45 ($false),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[29122, 34300, 34296, 34291])).
% 14.68/10.45 tff(34302,plain,((~node1(s340)) | m_main_v_state(s341, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.45 tff(34303,plain,
% 14.68/10.45 (~node1(s340)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34302, 34291])).
% 14.68/10.45 tff(34304,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s340, s341)) | m_main_v_state(s341, c_busy) | node1(s340) | m_main_v_state(s341, 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(s340, s341)) | m_main_v_state(s341, c_busy) | node1(s340) | m_main_v_state(s341, c_ready))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34305,plain,
% 14.68/10.45 ((node1(s340) | m_main_v_state(s341, c_ready) | (~node2(s340, s341)) | m_main_v_state(s341, c_busy)) <=> ((~node2(s340, s341)) | m_main_v_state(s341, c_busy) | node1(s340) | m_main_v_state(s341, c_ready))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34306,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s340) | m_main_v_state(s341, c_ready) | (~node2(s340, s341)) | m_main_v_state(s341, 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(s340, s341)) | m_main_v_state(s341, c_busy) | node1(s340) | m_main_v_state(s341, c_ready)))),
% 14.68/10.45 inference(monotonicity,[status(thm)],[34305])).
% 14.68/10.45 tff(34307,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s340) | m_main_v_state(s341, c_ready) | (~node2(s340, s341)) | m_main_v_state(s341, 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(s340, s341)) | m_main_v_state(s341, c_busy) | node1(s340) | m_main_v_state(s341, c_ready))),
% 14.68/10.45 inference(transitivity,[status(thm)],[34306, 34304])).
% 14.68/10.45 tff(34308,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s340) | m_main_v_state(s341, c_ready) | (~node2(s340, s341)) | m_main_v_state(s341, c_busy))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34309,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s340, s341)) | m_main_v_state(s341, c_busy) | node1(s340) | m_main_v_state(s341, c_ready)),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34308, 34307])).
% 14.68/10.45 tff(34310,plain,
% 14.68/10.45 (m_main_v_state(s341, c_busy) | node1(s340) | m_main_v_state(s341, c_ready)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34309, 3551, 29118])).
% 14.68/10.45 tff(34311,plain,
% 14.68/10.45 ($false),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34310, 34303, 34291, 34290])).
% 14.68/10.45 tff(34312,plain,(m_main_v_state(s341, c_busy) | m_main_v_state(s341, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.45 tff(34313,plain,
% 14.68/10.45 (m_main_v_state(s341, c_ready)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34312, 34289])).
% 14.68/10.45 tff(34314,plain,
% 14.68/10.45 (always3(s342)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27606, 34288])).
% 14.68/10.45 tff(34315,plain,
% 14.68/10.45 (~m_main_v_state(s342, c_busy)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34117, 85, 34314])).
% 14.68/10.45 tff(34316,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s341, s342)) | node2(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s341, s342)) | node2(s341, s342))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34317,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s341, s342)) | node2(s341, s342))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34318,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s341, s342)) | node2(s341, s342)),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34317, 34316])).
% 14.68/10.45 tff(34319,plain,
% 14.68/10.45 (node2(s341, s342)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34318, 7, 27602])).
% 14.68/10.45 tff(34320,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s341, c_ready)) | (~node2(s341, s342)) | m_main_v_state(s342, c_busy) | (~m_main_v_request(s341)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s341, c_ready)) | (~node2(s341, s342)) | m_main_v_state(s342, c_busy) | (~m_main_v_request(s341)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34321,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s341, c_ready)) | (~node2(s341, s342)) | m_main_v_state(s342, c_busy) | (~m_main_v_request(s341)))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34322,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s341, c_ready)) | (~node2(s341, s342)) | m_main_v_state(s342, c_busy) | (~m_main_v_request(s341))),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34321, 34320])).
% 14.68/10.45 tff(34323,plain,
% 14.68/10.45 ((~m_main_v_state(s341, c_ready)) | m_main_v_state(s342, c_busy) | (~m_main_v_request(s341))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34322, 73, 34319])).
% 14.68/10.45 tff(34324,plain,
% 14.68/10.45 (~m_main_v_request(s341)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34323, 34315, 34313])).
% 14.68/10.45 tff(34325,plain,
% 14.68/10.45 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s341) | (~node4(s341)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s341) | (~node4(s341)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34326,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s341) | (~node4(s341)))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34327,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s341) | (~node4(s341))),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34326, 34325])).
% 14.68/10.45 tff(34328,plain,
% 14.68/10.45 (~node4(s341)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34327, 21, 34324])).
% 14.68/10.45 tff(34329,plain,
% 14.68/10.45 (node4(s341) | (~until5(s341))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28573, 294, 34125])).
% 14.68/10.45 tff(34330,plain,
% 14.68/10.45 (~until5(s341)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34329, 34328])).
% 14.68/10.45 tff(34331,plain,
% 14.68/10.45 (~xuntil6(s340)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28562, 34330])).
% 14.68/10.45 tff(34332,plain,
% 14.68/10.45 (~until5(s340)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[29136, 34331])).
% 14.68/10.45 tff(34333,plain,
% 14.68/10.45 (~xuntil6(s339)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28545, 34332])).
% 14.68/10.45 tff(34334,plain,
% 14.68/10.45 (~until5(s339)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[29193, 34333])).
% 14.68/10.45 tff(34335,plain,
% 14.68/10.45 (~xuntil6(s338)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28528, 34334])).
% 14.68/10.45 tff(34336,assumption,(~always3(s338)), introduced(assumption)).
% 14.68/10.45 tff(34337,plain,
% 14.68/10.45 (~always3(s337)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27654, 34336])).
% 14.68/10.45 tff(34338,plain,
% 14.68/10.45 (~node4(s337)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28498, 36, 34337])).
% 14.68/10.45 tff(34339,plain,
% 14.68/10.45 (~node4(s338)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28515, 36, 34336])).
% 14.68/10.45 tff(34340,assumption,(~xuntil6(s338)), introduced(assumption)).
% 14.68/10.45 tff(34341,plain,
% 14.68/10.45 (node4(s338) | (~until5(s338))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28522, 294, 34340])).
% 14.68/10.45 tff(34342,plain,
% 14.68/10.45 (~until5(s338)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34341, 34339])).
% 14.68/10.45 tff(34343,plain,
% 14.68/10.45 (~xuntil6(s337)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28511, 34342])).
% 14.68/10.45 tff(34344,plain,
% 14.68/10.45 (~until5(s337)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28505, 294, 34343, 34338])).
% 14.68/10.45 tff(34345,plain,
% 14.68/10.45 (~xuntil6(s336)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28494, 34344])).
% 14.68/10.45 tff(34346,plain,
% 14.68/10.45 (~always3(s336)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27666, 34337])).
% 14.68/10.45 tff(34347,plain,
% 14.68/10.45 (~node4(s336)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28481, 36, 34346])).
% 14.68/10.45 tff(34348,plain,
% 14.68/10.45 (xuntil6(s336) | (~until5(s336))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28488, 294, 34347])).
% 14.68/10.45 tff(34349,plain,
% 14.68/10.45 (~until5(s336)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34348, 34345])).
% 14.68/10.45 tff(34350,plain,
% 14.68/10.45 (~xuntil6(s335)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28477, 34349])).
% 14.68/10.45 tff(34351,plain,
% 14.68/10.45 (~always3(s335)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27678, 34346])).
% 14.68/10.45 tff(34352,plain,
% 14.68/10.45 (~node4(s335)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28464, 36, 34351])).
% 14.68/10.45 tff(34353,plain,
% 14.68/10.45 (xuntil6(s335) | (~until5(s335))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28471, 294, 34352])).
% 14.68/10.45 tff(34354,plain,
% 14.68/10.45 (~until5(s335)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34353, 34350])).
% 14.68/10.45 tff(34355,plain,
% 14.68/10.45 (~xuntil6(s334)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28460, 34354])).
% 14.68/10.45 tff(34356,plain,
% 14.68/10.45 (~always3(s334)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27690, 34351])).
% 14.68/10.45 tff(34357,plain,
% 14.68/10.45 (~node4(s334)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28447, 36, 34356])).
% 14.68/10.45 tff(34358,plain,
% 14.68/10.45 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28454, 294, 34357])).
% 14.68/10.45 tff(34359,plain,
% 14.68/10.45 (~until5(s334)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34358, 34355])).
% 14.68/10.45 tff(34360,plain,
% 14.68/10.45 (~xuntil6(s333)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28443, 34359])).
% 14.68/10.45 tff(34361,plain,
% 14.68/10.45 (~always3(s333)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27702, 34356])).
% 14.68/10.45 tff(34362,plain,
% 14.68/10.45 (~node4(s333)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28430, 36, 34361])).
% 14.68/10.45 tff(34363,plain,
% 14.68/10.45 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28437, 294, 34362])).
% 14.68/10.45 tff(34364,plain,
% 14.68/10.45 (~until5(s333)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34363, 34360])).
% 14.68/10.45 tff(34365,plain,
% 14.68/10.45 (~xuntil6(s332)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28426, 34364])).
% 14.68/10.45 tff(34366,plain,
% 14.68/10.45 (~always3(s332)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27714, 34361])).
% 14.68/10.45 tff(34367,plain,
% 14.68/10.45 (~node4(s332)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28413, 36, 34366])).
% 14.68/10.45 tff(34368,plain,
% 14.68/10.45 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28420, 294, 34367])).
% 14.68/10.45 tff(34369,plain,
% 14.68/10.45 (~until5(s332)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34368, 34365])).
% 14.68/10.45 tff(34370,plain,
% 14.68/10.45 (~xuntil6(s331)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28409, 34369])).
% 14.68/10.45 tff(34371,plain,
% 14.68/10.45 (~always3(s331)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27726, 34366])).
% 14.68/10.45 tff(34372,plain,
% 14.68/10.45 (~node4(s331)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28396, 36, 34371])).
% 14.68/10.45 tff(34373,plain,
% 14.68/10.45 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28403, 294, 34372])).
% 14.68/10.45 tff(34374,plain,
% 14.68/10.45 (~until5(s331)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34373, 34370])).
% 14.68/10.45 tff(34375,plain,
% 14.68/10.45 (~xuntil6(s330)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28392, 34374])).
% 14.68/10.45 tff(34376,plain,
% 14.68/10.45 (~always3(s330)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27738, 34371])).
% 14.68/10.45 tff(34377,plain,
% 14.68/10.45 (~node4(s330)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28379, 36, 34376])).
% 14.68/10.45 tff(34378,plain,
% 14.68/10.45 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28386, 294, 34377])).
% 14.68/10.45 tff(34379,plain,
% 14.68/10.45 (~until5(s330)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34378, 34375])).
% 14.68/10.45 tff(34380,plain,
% 14.68/10.45 (~xuntil6(s329)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28375, 34379])).
% 14.68/10.45 tff(34381,plain,
% 14.68/10.45 (~always3(s329)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27750, 34376])).
% 14.68/10.45 tff(34382,plain,
% 14.68/10.45 (~node4(s329)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28362, 36, 34381])).
% 14.68/10.45 tff(34383,plain,
% 14.68/10.45 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28369, 294, 34382])).
% 14.68/10.45 tff(34384,plain,
% 14.68/10.45 (~until5(s329)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34383, 34380])).
% 14.68/10.45 tff(34385,plain,
% 14.68/10.45 (~xuntil6(s328)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28358, 34384])).
% 14.68/10.45 tff(34386,plain,
% 14.68/10.45 (~always3(s328)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27762, 34381])).
% 14.68/10.45 tff(34387,plain,
% 14.68/10.45 (~node4(s328)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28345, 36, 34386])).
% 14.68/10.45 tff(34388,plain,
% 14.68/10.45 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28352, 294, 34387])).
% 14.68/10.45 tff(34389,plain,
% 14.68/10.45 (~until5(s328)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34388, 34385])).
% 14.68/10.45 tff(34390,plain,
% 14.68/10.45 (~xuntil6(s327)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28341, 34389])).
% 14.68/10.45 tff(34391,plain,
% 14.68/10.45 (~always3(s327)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27774, 34386])).
% 14.68/10.45 tff(34392,plain,
% 14.68/10.45 (~node4(s327)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28328, 36, 34391])).
% 14.68/10.45 tff(34393,plain,
% 14.68/10.45 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28335, 294, 34392])).
% 14.68/10.45 tff(34394,plain,
% 14.68/10.45 (~until5(s327)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34393, 34390])).
% 14.68/10.45 tff(34395,plain,
% 14.68/10.45 (~xuntil6(s326)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28324, 34394])).
% 14.68/10.45 tff(34396,plain,
% 14.68/10.45 (~always3(s326)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27786, 34391])).
% 14.68/10.45 tff(34397,plain,
% 14.68/10.45 (~node4(s326)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28311, 36, 34396])).
% 14.68/10.45 tff(34398,plain,
% 14.68/10.45 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28318, 294, 34397])).
% 14.68/10.45 tff(34399,plain,
% 14.68/10.45 (~until5(s326)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34398, 34395])).
% 14.68/10.45 tff(34400,plain,
% 14.68/10.45 (~xuntil6(s325)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28307, 34399])).
% 14.68/10.45 tff(34401,plain,
% 14.68/10.45 (~always3(s325)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27798, 34396])).
% 14.68/10.45 tff(34402,plain,
% 14.68/10.45 (~node4(s325)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28294, 36, 34401])).
% 14.68/10.45 tff(34403,plain,
% 14.68/10.45 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28301, 294, 34402])).
% 14.68/10.45 tff(34404,plain,
% 14.68/10.45 (~until5(s325)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34403, 34400])).
% 14.68/10.45 tff(34405,plain,
% 14.68/10.45 (~xuntil6(s324)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28290, 34404])).
% 14.68/10.45 tff(34406,plain,
% 14.68/10.45 (~always3(s324)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27810, 34401])).
% 14.68/10.45 tff(34407,plain,
% 14.68/10.45 (~node4(s324)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28277, 36, 34406])).
% 14.68/10.45 tff(34408,plain,
% 14.68/10.45 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28284, 294, 34407])).
% 14.68/10.45 tff(34409,plain,
% 14.68/10.45 (~until5(s324)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34408, 34405])).
% 14.68/10.45 tff(34410,plain,
% 14.68/10.45 (~always3(s323)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27822, 34406])).
% 14.68/10.45 tff(34411,plain,
% 14.68/10.45 (~always3(s322)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27834, 34410])).
% 14.68/10.45 tff(34412,plain,
% 14.68/10.45 (~always3(s321)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27846, 34411])).
% 14.68/10.45 tff(34413,plain,
% 14.68/10.45 (~always3(s320)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27858, 34412])).
% 14.68/10.45 tff(34414,plain,
% 14.68/10.45 (~always3(s319)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27870, 34413])).
% 14.68/10.45 tff(34415,plain,
% 14.68/10.45 (~always3(s318)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27882, 34414])).
% 14.68/10.45 tff(34416,plain,
% 14.68/10.45 (~always3(s317)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27894, 34415])).
% 14.68/10.45 tff(34417,plain,
% 14.68/10.45 (~always3(s316)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27906, 34416])).
% 14.68/10.45 tff(34418,plain,
% 14.68/10.45 (~always3(s315)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27918, 34417])).
% 14.68/10.45 tff(34419,plain,
% 14.68/10.45 (~always3(s314)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27930, 34418])).
% 14.68/10.45 tff(34420,plain,
% 14.68/10.45 (~always3(s313)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27942, 34419])).
% 14.68/10.45 tff(34421,plain,
% 14.68/10.45 (~always3(s312)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27954, 34420])).
% 14.68/10.45 tff(34422,plain,
% 14.68/10.45 (~always3(s311)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27966, 34421])).
% 14.68/10.45 tff(34423,plain,
% 14.68/10.45 (~always3(s310)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27978, 34422])).
% 14.68/10.45 tff(34424,plain,
% 14.68/10.45 (~node4(s310)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28039, 36, 34423])).
% 14.68/10.45 tff(34425,plain,
% 14.68/10.45 (~always3(s309)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27990, 34423])).
% 14.68/10.45 tff(34426,plain,
% 14.68/10.45 (~always3(s308)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28006, 34425])).
% 14.68/10.45 tff(34427,plain,
% 14.68/10.45 (~node4(s308)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28010, 36, 34426])).
% 14.68/10.45 tff(34428,plain,
% 14.68/10.45 (xuntil6(s308)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28018, 34427])).
% 14.68/10.45 tff(34429,plain,
% 14.68/10.45 (until5(s309)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28023, 34428])).
% 14.68/10.45 tff(34430,plain,
% 14.68/10.45 (xuntil6(s309)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28918, 34429])).
% 14.68/10.45 tff(34431,plain,
% 14.68/10.45 (until5(s310)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28035, 34430])).
% 14.68/10.45 tff(34432,plain,
% 14.68/10.45 (xuntil6(s310)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28046, 294, 34431, 34424])).
% 14.68/10.45 tff(34433,plain,
% 14.68/10.45 (until5(s311)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28052, 34432])).
% 14.68/10.45 tff(34434,plain,
% 14.68/10.45 (~node4(s311)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28056, 36, 34422])).
% 14.68/10.45 tff(34435,plain,
% 14.68/10.45 (xuntil6(s311) | (~until5(s311))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28063, 294, 34434])).
% 14.68/10.45 tff(34436,plain,
% 14.68/10.45 (xuntil6(s311)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34435, 34433])).
% 14.68/10.45 tff(34437,plain,
% 14.68/10.45 (until5(s312)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28069, 34436])).
% 14.68/10.45 tff(34438,plain,
% 14.68/10.45 (~node4(s312)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28073, 36, 34421])).
% 14.68/10.45 tff(34439,plain,
% 14.68/10.45 (xuntil6(s312) | (~until5(s312))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28080, 294, 34438])).
% 14.68/10.45 tff(34440,plain,
% 14.68/10.45 (xuntil6(s312)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34439, 34437])).
% 14.68/10.45 tff(34441,plain,
% 14.68/10.45 (until5(s313)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28086, 34440])).
% 14.68/10.45 tff(34442,plain,
% 14.68/10.45 (~node4(s313)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28090, 36, 34420])).
% 14.68/10.45 tff(34443,plain,
% 14.68/10.45 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28097, 294, 34442])).
% 14.68/10.45 tff(34444,plain,
% 14.68/10.45 (xuntil6(s313)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34443, 34441])).
% 14.68/10.45 tff(34445,plain,
% 14.68/10.45 (until5(s314)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28103, 34444])).
% 14.68/10.45 tff(34446,plain,
% 14.68/10.45 (~node4(s314)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28107, 36, 34419])).
% 14.68/10.45 tff(34447,plain,
% 14.68/10.45 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28114, 294, 34446])).
% 14.68/10.45 tff(34448,plain,
% 14.68/10.45 (xuntil6(s314)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34447, 34445])).
% 14.68/10.45 tff(34449,plain,
% 14.68/10.45 (until5(s315)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28120, 34448])).
% 14.68/10.45 tff(34450,plain,
% 14.68/10.45 (~node4(s315)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28124, 36, 34418])).
% 14.68/10.45 tff(34451,plain,
% 14.68/10.45 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28131, 294, 34450])).
% 14.68/10.45 tff(34452,plain,
% 14.68/10.45 (xuntil6(s315)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34451, 34449])).
% 14.68/10.45 tff(34453,plain,
% 14.68/10.45 (until5(s316)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28137, 34452])).
% 14.68/10.45 tff(34454,plain,
% 14.68/10.45 (~node4(s316)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28141, 36, 34417])).
% 14.68/10.45 tff(34455,plain,
% 14.68/10.45 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28148, 294, 34454])).
% 14.68/10.45 tff(34456,plain,
% 14.68/10.45 (xuntil6(s316)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34455, 34453])).
% 14.68/10.45 tff(34457,plain,
% 14.68/10.45 (until5(s317)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28154, 34456])).
% 14.68/10.45 tff(34458,plain,
% 14.68/10.45 (~node4(s317)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28158, 36, 34416])).
% 14.68/10.45 tff(34459,plain,
% 14.68/10.45 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28165, 294, 34458])).
% 14.68/10.45 tff(34460,plain,
% 14.68/10.45 (xuntil6(s317)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34459, 34457])).
% 14.68/10.45 tff(34461,plain,
% 14.68/10.45 (until5(s318)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28171, 34460])).
% 14.68/10.45 tff(34462,plain,
% 14.68/10.45 (~node4(s318)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28175, 36, 34415])).
% 14.68/10.45 tff(34463,plain,
% 14.68/10.45 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28182, 294, 34462])).
% 14.68/10.45 tff(34464,plain,
% 14.68/10.45 (xuntil6(s318)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34463, 34461])).
% 14.68/10.45 tff(34465,plain,
% 14.68/10.45 (until5(s319)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28188, 34464])).
% 14.68/10.45 tff(34466,plain,
% 14.68/10.45 (~node4(s319)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28192, 36, 34414])).
% 14.68/10.45 tff(34467,plain,
% 14.68/10.45 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28199, 294, 34466])).
% 14.68/10.45 tff(34468,plain,
% 14.68/10.45 (xuntil6(s319)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34467, 34465])).
% 14.68/10.45 tff(34469,plain,
% 14.68/10.45 (until5(s320)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28205, 34468])).
% 14.68/10.45 tff(34470,plain,
% 14.68/10.45 (~node4(s320)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28209, 36, 34413])).
% 14.68/10.45 tff(34471,plain,
% 14.68/10.45 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28216, 294, 34470])).
% 14.68/10.45 tff(34472,plain,
% 14.68/10.45 (xuntil6(s320)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34471, 34469])).
% 14.68/10.45 tff(34473,plain,
% 14.68/10.45 (until5(s321)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28222, 34472])).
% 14.68/10.45 tff(34474,plain,
% 14.68/10.45 (~node4(s321)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28226, 36, 34412])).
% 14.68/10.45 tff(34475,plain,
% 14.68/10.45 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28233, 294, 34474])).
% 14.68/10.45 tff(34476,plain,
% 14.68/10.45 (xuntil6(s321)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34475, 34473])).
% 14.68/10.45 tff(34477,plain,
% 14.68/10.45 (until5(s322)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28239, 34476])).
% 14.68/10.45 tff(34478,plain,
% 14.68/10.45 (~node4(s322)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28243, 36, 34411])).
% 14.68/10.45 tff(34479,plain,
% 14.68/10.45 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28250, 294, 34478])).
% 14.68/10.45 tff(34480,plain,
% 14.68/10.45 (xuntil6(s322)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34479, 34477])).
% 14.68/10.45 tff(34481,plain,
% 14.68/10.45 (until5(s323)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28256, 34480])).
% 14.68/10.45 tff(34482,plain,
% 14.68/10.45 (~node4(s323)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28260, 36, 34410])).
% 14.68/10.45 tff(34483,plain,
% 14.68/10.45 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28267, 294, 34482])).
% 14.68/10.45 tff(34484,plain,
% 14.68/10.45 (xuntil6(s323)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34483, 34481])).
% 14.68/10.45 tff(34485,plain,
% 14.68/10.45 ($false),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28273, 34484, 34409])).
% 14.68/10.45 tff(34486,plain,(always3(s338) | (~until5(s308)) | xuntil6(s338)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.45 tff(34487,plain,
% 14.68/10.45 (always3(s338)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34486, 34335, 31976])).
% 14.68/10.45 tff(34488,plain,
% 14.68/10.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s338)) | (~m_main_v_state(s338, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s338)) | (~m_main_v_state(s338, c_busy)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34489,plain,
% 14.68/10.45 (((~m_main_v_state(s338, c_busy)) | (~always3(s338))) <=> ((~always3(s338)) | (~m_main_v_state(s338, c_busy)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34490,plain,
% 14.68/10.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s338, c_busy)) | (~always3(s338)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s338)) | (~m_main_v_state(s338, c_busy))))),
% 14.68/10.45 inference(monotonicity,[status(thm)],[34489])).
% 14.68/10.45 tff(34491,plain,
% 14.68/10.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s338, c_busy)) | (~always3(s338)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s338)) | (~m_main_v_state(s338, c_busy)))),
% 14.68/10.45 inference(transitivity,[status(thm)],[34490, 34488])).
% 14.68/10.45 tff(34492,plain,
% 14.68/10.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s338, c_busy)) | (~always3(s338)))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34493,plain,
% 14.68/10.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s338)) | (~m_main_v_state(s338, c_busy))),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 14.68/10.45 tff(34494,plain,
% 14.68/10.45 (~m_main_v_state(s338, c_busy)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34493, 85, 34487])).
% 14.68/10.45 tff(34495,assumption,(~m_main_v_state(s338, c_busy)), introduced(assumption)).
% 14.68/10.45 tff(34496,assumption,(node4(s337)), introduced(assumption)).
% 14.68/10.45 tff(34497,plain,
% 14.68/10.45 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s337) | (~node4(s337)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s337) | (~node4(s337)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34498,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s337) | (~node4(s337)))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34499,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s337) | (~node4(s337))),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34498, 34497])).
% 14.68/10.45 tff(34500,plain,
% 14.68/10.45 (m_main_v_request(s337)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34499, 21, 34496])).
% 14.68/10.45 tff(34501,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s337, s338)) | node2(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s337, s338)) | node2(s337, s338))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34502,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s337, s338)) | node2(s337, s338))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34503,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s337, s338)) | node2(s337, s338)),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34502, 34501])).
% 14.68/10.45 tff(34504,plain,
% 14.68/10.45 (node2(s337, s338)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34503, 7, 27650])).
% 14.68/10.45 tff(34505,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s337, c_ready)) | (~node2(s337, s338)) | m_main_v_state(s338, c_busy) | (~m_main_v_request(s337)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s337, c_ready)) | (~node2(s337, s338)) | m_main_v_state(s338, c_busy) | (~m_main_v_request(s337)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34506,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s337, c_ready)) | (~node2(s337, s338)) | m_main_v_state(s338, c_busy) | (~m_main_v_request(s337)))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34507,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s337, c_ready)) | (~node2(s337, s338)) | m_main_v_state(s338, c_busy) | (~m_main_v_request(s337))),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34506, 34505])).
% 14.68/10.45 tff(34508,plain,
% 14.68/10.45 ((~m_main_v_state(s337, c_ready)) | m_main_v_state(s338, c_busy) | (~m_main_v_request(s337))),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34507, 73, 34504])).
% 14.68/10.45 tff(34509,plain,
% 14.68/10.45 (~m_main_v_state(s337, c_ready)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34508, 34500, 34495])).
% 14.68/10.45 tff(34510,plain,
% 14.68/10.45 (always3(s337)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[28498, 36, 34496])).
% 14.68/10.45 tff(34511,plain,
% 14.68/10.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s337)) | (~m_main_v_state(s337, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s337)) | (~m_main_v_state(s337, c_busy)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34512,plain,
% 14.68/10.45 (((~m_main_v_state(s337, c_busy)) | (~always3(s337))) <=> ((~always3(s337)) | (~m_main_v_state(s337, c_busy)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34513,plain,
% 14.68/10.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s337, c_busy)) | (~always3(s337)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s337)) | (~m_main_v_state(s337, c_busy))))),
% 14.68/10.45 inference(monotonicity,[status(thm)],[34512])).
% 14.68/10.45 tff(34514,plain,
% 14.68/10.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s337, c_busy)) | (~always3(s337)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s337)) | (~m_main_v_state(s337, c_busy)))),
% 14.68/10.45 inference(transitivity,[status(thm)],[34513, 34511])).
% 14.68/10.45 tff(34515,plain,
% 14.68/10.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s337, c_busy)) | (~always3(s337)))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34516,plain,
% 14.68/10.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s337)) | (~m_main_v_state(s337, c_busy))),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34515, 34514])).
% 14.68/10.45 tff(34517,plain,
% 14.68/10.45 (~m_main_v_state(s337, c_busy)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34516, 85, 34510])).
% 14.68/10.45 tff(34518,plain,
% 14.68/10.45 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s337, c_busy) | m_main_v_state(s337, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s337, c_busy) | m_main_v_state(s337, c_ready))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34519,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s337, c_busy) | m_main_v_state(s337, c_ready))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34520,plain,
% 14.68/10.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s337, c_busy) | m_main_v_state(s337, c_ready)),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34519, 34518])).
% 14.68/10.45 tff(34521,plain,
% 14.68/10.45 ($false),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34520, 102, 34517, 34509])).
% 14.68/10.45 tff(34522,plain,((~node4(s337)) | m_main_v_state(s338, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.45 tff(34523,plain,
% 14.68/10.45 (~node4(s337)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34522, 34494])).
% 14.68/10.45 tff(34524,plain,
% 14.68/10.45 (always3(s339)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[27642, 34487])).
% 14.68/10.45 tff(34525,plain,
% 14.68/10.45 (~m_main_v_state(s339, c_busy)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[29152, 85, 34524])).
% 14.68/10.45 tff(34526,assumption,(~m_main_v_state(s338, c_ready)), introduced(assumption)).
% 14.68/10.45 tff(34527,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s337, s338)) | m_main_v_state(s338, c_busy) | node1(s337) | m_main_v_state(s338, 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(s337, s338)) | m_main_v_state(s338, c_busy) | node1(s337) | m_main_v_state(s338, c_ready))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34528,plain,
% 14.68/10.45 ((node1(s337) | m_main_v_state(s338, c_ready) | (~node2(s337, s338)) | m_main_v_state(s338, c_busy)) <=> ((~node2(s337, s338)) | m_main_v_state(s338, c_busy) | node1(s337) | m_main_v_state(s338, c_ready))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.45 tff(34529,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s337) | m_main_v_state(s338, c_ready) | (~node2(s337, s338)) | m_main_v_state(s338, 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(s337, s338)) | m_main_v_state(s338, c_busy) | node1(s337) | m_main_v_state(s338, c_ready)))),
% 14.68/10.45 inference(monotonicity,[status(thm)],[34528])).
% 14.68/10.45 tff(34530,plain,
% 14.68/10.45 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s337) | m_main_v_state(s338, c_ready) | (~node2(s337, s338)) | m_main_v_state(s338, 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(s337, s338)) | m_main_v_state(s338, c_busy) | node1(s337) | m_main_v_state(s338, c_ready))),
% 14.68/10.45 inference(transitivity,[status(thm)],[34529, 34527])).
% 14.68/10.45 tff(34531,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s337) | m_main_v_state(s338, c_ready) | (~node2(s337, s338)) | m_main_v_state(s338, c_busy))),
% 14.68/10.45 inference(quant_inst,[status(thm)],[])).
% 14.68/10.45 tff(34532,plain,
% 14.68/10.45 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s337, s338)) | m_main_v_state(s338, c_busy) | node1(s337) | m_main_v_state(s338, c_ready)),
% 14.68/10.45 inference(modus_ponens,[status(thm)],[34531, 34530])).
% 14.68/10.45 tff(34533,plain,
% 14.68/10.45 (m_main_v_state(s338, c_busy) | node1(s337) | m_main_v_state(s338, c_ready)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34532, 3551, 34504])).
% 14.68/10.45 tff(34534,plain,
% 14.68/10.45 (node1(s337)),
% 14.68/10.45 inference(unit_resolution,[status(thm)],[34533, 34495, 34526])).
% 14.68/10.45 tff(34535,plain,
% 14.68/10.45 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s337, c_ready) | (~node1(s337)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s337, c_ready) | (~node1(s337)))),
% 14.68/10.45 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34536,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s337, c_ready) | (~node1(s337)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34537,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s337, c_ready) | (~node1(s337))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34536, 34535])).
% 14.68/10.46 tff(34538,plain,
% 14.68/10.46 (m_main_v_state(s337, c_ready)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34537, 3581, 34534])).
% 14.68/10.46 tff(34539,plain,
% 14.68/10.46 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s337) | (~node1(s337)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s337) | (~node1(s337)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34540,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s337) | (~node1(s337)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34541,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s337) | (~node1(s337))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34540, 34539])).
% 14.68/10.46 tff(34542,plain,
% 14.68/10.46 (m_main_v_request(s337)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34541, 3568, 34534])).
% 14.68/10.46 tff(34543,plain,
% 14.68/10.46 ($false),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34508, 34542, 34538, 34495])).
% 14.68/10.46 tff(34544,plain,(m_main_v_state(s338, c_busy) | m_main_v_state(s338, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.46 tff(34545,plain,
% 14.68/10.46 (m_main_v_state(s338, c_ready)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34544, 34494])).
% 14.68/10.46 tff(34546,plain,
% 14.68/10.46 (~m_main_v_request(s338)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[29179, 34545, 34525])).
% 14.68/10.46 tff(34547,plain,
% 14.68/10.46 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s338) | (~node4(s338)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s338) | (~node4(s338)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34548,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s338) | (~node4(s338)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34549,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s338) | (~node4(s338))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34548, 34547])).
% 14.68/10.46 tff(34550,plain,
% 14.68/10.46 (~node4(s338)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34549, 21, 34546])).
% 14.68/10.46 tff(34551,plain,
% 14.68/10.46 (node4(s338) | (~until5(s338))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28522, 294, 34335])).
% 14.68/10.46 tff(34552,plain,
% 14.68/10.46 (~until5(s338)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34551, 34550])).
% 14.68/10.46 tff(34553,plain,
% 14.68/10.46 (~xuntil6(s337)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28511, 34552])).
% 14.68/10.46 tff(34554,plain,
% 14.68/10.46 (~until5(s337)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28505, 294, 34553, 34523])).
% 14.68/10.46 tff(34555,plain,
% 14.68/10.46 (~xuntil6(s336)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28494, 34554])).
% 14.68/10.46 tff(34556,assumption,(~always3(s336)), introduced(assumption)).
% 14.68/10.46 tff(34557,plain,
% 14.68/10.46 (~always3(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27678, 34556])).
% 14.68/10.46 tff(34558,plain,
% 14.68/10.46 (~node4(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28464, 36, 34557])).
% 14.68/10.46 tff(34559,plain,
% 14.68/10.46 (~node4(s336)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28481, 36, 34556])).
% 14.68/10.46 tff(34560,assumption,(~xuntil6(s336)), introduced(assumption)).
% 14.68/10.46 tff(34561,plain,
% 14.68/10.46 (node4(s336) | (~until5(s336))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28488, 294, 34560])).
% 14.68/10.46 tff(34562,plain,
% 14.68/10.46 (~until5(s336)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34561, 34559])).
% 14.68/10.46 tff(34563,plain,
% 14.68/10.46 (~xuntil6(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28477, 34562])).
% 14.68/10.46 tff(34564,plain,
% 14.68/10.46 (~until5(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28471, 294, 34563, 34558])).
% 14.68/10.46 tff(34565,plain,
% 14.68/10.46 (~xuntil6(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28460, 34564])).
% 14.68/10.46 tff(34566,plain,
% 14.68/10.46 (~always3(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27690, 34557])).
% 14.68/10.46 tff(34567,plain,
% 14.68/10.46 (~node4(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28447, 36, 34566])).
% 14.68/10.46 tff(34568,plain,
% 14.68/10.46 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28454, 294, 34567])).
% 14.68/10.46 tff(34569,plain,
% 14.68/10.46 (~until5(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34568, 34565])).
% 14.68/10.46 tff(34570,plain,
% 14.68/10.46 (~xuntil6(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28443, 34569])).
% 14.68/10.46 tff(34571,plain,
% 14.68/10.46 (~always3(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27702, 34566])).
% 14.68/10.46 tff(34572,plain,
% 14.68/10.46 (~node4(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28430, 36, 34571])).
% 14.68/10.46 tff(34573,plain,
% 14.68/10.46 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28437, 294, 34572])).
% 14.68/10.46 tff(34574,plain,
% 14.68/10.46 (~until5(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34573, 34570])).
% 14.68/10.46 tff(34575,plain,
% 14.68/10.46 (~xuntil6(s332)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28426, 34574])).
% 14.68/10.46 tff(34576,plain,
% 14.68/10.46 (~always3(s332)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27714, 34571])).
% 14.68/10.46 tff(34577,plain,
% 14.68/10.46 (~node4(s332)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28413, 36, 34576])).
% 14.68/10.46 tff(34578,plain,
% 14.68/10.46 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28420, 294, 34577])).
% 14.68/10.46 tff(34579,plain,
% 14.68/10.46 (~until5(s332)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34578, 34575])).
% 14.68/10.46 tff(34580,plain,
% 14.68/10.46 (~xuntil6(s331)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28409, 34579])).
% 14.68/10.46 tff(34581,plain,
% 14.68/10.46 (~always3(s331)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27726, 34576])).
% 14.68/10.46 tff(34582,plain,
% 14.68/10.46 (~node4(s331)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28396, 36, 34581])).
% 14.68/10.46 tff(34583,plain,
% 14.68/10.46 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28403, 294, 34582])).
% 14.68/10.46 tff(34584,plain,
% 14.68/10.46 (~until5(s331)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34583, 34580])).
% 14.68/10.46 tff(34585,plain,
% 14.68/10.46 (~xuntil6(s330)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28392, 34584])).
% 14.68/10.46 tff(34586,plain,
% 14.68/10.46 (~always3(s330)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27738, 34581])).
% 14.68/10.46 tff(34587,plain,
% 14.68/10.46 (~node4(s330)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28379, 36, 34586])).
% 14.68/10.46 tff(34588,plain,
% 14.68/10.46 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28386, 294, 34587])).
% 14.68/10.46 tff(34589,plain,
% 14.68/10.46 (~until5(s330)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34588, 34585])).
% 14.68/10.46 tff(34590,plain,
% 14.68/10.46 (~xuntil6(s329)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28375, 34589])).
% 14.68/10.46 tff(34591,plain,
% 14.68/10.46 (~always3(s329)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27750, 34586])).
% 14.68/10.46 tff(34592,plain,
% 14.68/10.46 (~node4(s329)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28362, 36, 34591])).
% 14.68/10.46 tff(34593,plain,
% 14.68/10.46 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28369, 294, 34592])).
% 14.68/10.46 tff(34594,plain,
% 14.68/10.46 (~until5(s329)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34593, 34590])).
% 14.68/10.46 tff(34595,plain,
% 14.68/10.46 (~xuntil6(s328)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28358, 34594])).
% 14.68/10.46 tff(34596,plain,
% 14.68/10.46 (~always3(s328)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27762, 34591])).
% 14.68/10.46 tff(34597,plain,
% 14.68/10.46 (~node4(s328)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28345, 36, 34596])).
% 14.68/10.46 tff(34598,plain,
% 14.68/10.46 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28352, 294, 34597])).
% 14.68/10.46 tff(34599,plain,
% 14.68/10.46 (~until5(s328)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34598, 34595])).
% 14.68/10.46 tff(34600,plain,
% 14.68/10.46 (~xuntil6(s327)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28341, 34599])).
% 14.68/10.46 tff(34601,plain,
% 14.68/10.46 (~always3(s327)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27774, 34596])).
% 14.68/10.46 tff(34602,plain,
% 14.68/10.46 (~node4(s327)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28328, 36, 34601])).
% 14.68/10.46 tff(34603,plain,
% 14.68/10.46 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28335, 294, 34602])).
% 14.68/10.46 tff(34604,plain,
% 14.68/10.46 (~until5(s327)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34603, 34600])).
% 14.68/10.46 tff(34605,plain,
% 14.68/10.46 (~xuntil6(s326)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28324, 34604])).
% 14.68/10.46 tff(34606,plain,
% 14.68/10.46 (~always3(s326)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27786, 34601])).
% 14.68/10.46 tff(34607,plain,
% 14.68/10.46 (~node4(s326)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28311, 36, 34606])).
% 14.68/10.46 tff(34608,plain,
% 14.68/10.46 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28318, 294, 34607])).
% 14.68/10.46 tff(34609,plain,
% 14.68/10.46 (~until5(s326)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34608, 34605])).
% 14.68/10.46 tff(34610,plain,
% 14.68/10.46 (~xuntil6(s325)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28307, 34609])).
% 14.68/10.46 tff(34611,plain,
% 14.68/10.46 (~always3(s325)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27798, 34606])).
% 14.68/10.46 tff(34612,plain,
% 14.68/10.46 (~node4(s325)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28294, 36, 34611])).
% 14.68/10.46 tff(34613,plain,
% 14.68/10.46 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28301, 294, 34612])).
% 14.68/10.46 tff(34614,plain,
% 14.68/10.46 (~until5(s325)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34613, 34610])).
% 14.68/10.46 tff(34615,plain,
% 14.68/10.46 (~xuntil6(s324)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28290, 34614])).
% 14.68/10.46 tff(34616,plain,
% 14.68/10.46 (~always3(s324)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27810, 34611])).
% 14.68/10.46 tff(34617,plain,
% 14.68/10.46 (~node4(s324)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28277, 36, 34616])).
% 14.68/10.46 tff(34618,plain,
% 14.68/10.46 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28284, 294, 34617])).
% 14.68/10.46 tff(34619,plain,
% 14.68/10.46 (~until5(s324)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34618, 34615])).
% 14.68/10.46 tff(34620,plain,
% 14.68/10.46 (~xuntil6(s323)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28273, 34619])).
% 14.68/10.46 tff(34621,plain,
% 14.68/10.46 (~always3(s323)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27822, 34616])).
% 14.68/10.46 tff(34622,plain,
% 14.68/10.46 (~node4(s323)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28260, 36, 34621])).
% 14.68/10.46 tff(34623,plain,
% 14.68/10.46 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28267, 294, 34622])).
% 14.68/10.46 tff(34624,plain,
% 14.68/10.46 (~until5(s323)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34623, 34620])).
% 14.68/10.46 tff(34625,plain,
% 14.68/10.46 (~always3(s322)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27834, 34621])).
% 14.68/10.46 tff(34626,plain,
% 14.68/10.46 (~always3(s321)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27846, 34625])).
% 14.68/10.46 tff(34627,plain,
% 14.68/10.46 (~always3(s320)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27858, 34626])).
% 14.68/10.46 tff(34628,plain,
% 14.68/10.46 (~always3(s319)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27870, 34627])).
% 14.68/10.46 tff(34629,plain,
% 14.68/10.46 (~always3(s318)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27882, 34628])).
% 14.68/10.46 tff(34630,plain,
% 14.68/10.46 (~always3(s317)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27894, 34629])).
% 14.68/10.46 tff(34631,plain,
% 14.68/10.46 (~always3(s316)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27906, 34630])).
% 14.68/10.46 tff(34632,plain,
% 14.68/10.46 (~always3(s315)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27918, 34631])).
% 14.68/10.46 tff(34633,plain,
% 14.68/10.46 (~always3(s314)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27930, 34632])).
% 14.68/10.46 tff(34634,plain,
% 14.68/10.46 (~always3(s313)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27942, 34633])).
% 14.68/10.46 tff(34635,plain,
% 14.68/10.46 (~always3(s312)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27954, 34634])).
% 14.68/10.46 tff(34636,plain,
% 14.68/10.46 (~always3(s311)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27966, 34635])).
% 14.68/10.46 tff(34637,plain,
% 14.68/10.46 (~always3(s310)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27978, 34636])).
% 14.68/10.46 tff(34638,plain,
% 14.68/10.46 (~node4(s310)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28039, 36, 34637])).
% 14.68/10.46 tff(34639,plain,
% 14.68/10.46 (~always3(s309)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27990, 34637])).
% 14.68/10.46 tff(34640,plain,
% 14.68/10.46 (~always3(s308)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28006, 34639])).
% 14.68/10.46 tff(34641,plain,
% 14.68/10.46 (~node4(s308)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28010, 36, 34640])).
% 14.68/10.46 tff(34642,plain,
% 14.68/10.46 (xuntil6(s308)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28018, 34641])).
% 14.68/10.46 tff(34643,plain,
% 14.68/10.46 (until5(s309)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28023, 34642])).
% 14.68/10.46 tff(34644,plain,
% 14.68/10.46 (xuntil6(s309)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28918, 34643])).
% 14.68/10.46 tff(34645,plain,
% 14.68/10.46 (until5(s310)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28035, 34644])).
% 14.68/10.46 tff(34646,plain,
% 14.68/10.46 (xuntil6(s310)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28046, 294, 34645, 34638])).
% 14.68/10.46 tff(34647,plain,
% 14.68/10.46 (until5(s311)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28052, 34646])).
% 14.68/10.46 tff(34648,plain,
% 14.68/10.46 (~node4(s311)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28056, 36, 34636])).
% 14.68/10.46 tff(34649,plain,
% 14.68/10.46 (xuntil6(s311) | (~until5(s311))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28063, 294, 34648])).
% 14.68/10.46 tff(34650,plain,
% 14.68/10.46 (xuntil6(s311)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34649, 34647])).
% 14.68/10.46 tff(34651,plain,
% 14.68/10.46 (until5(s312)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28069, 34650])).
% 14.68/10.46 tff(34652,plain,
% 14.68/10.46 (~node4(s312)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28073, 36, 34635])).
% 14.68/10.46 tff(34653,plain,
% 14.68/10.46 (xuntil6(s312) | (~until5(s312))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28080, 294, 34652])).
% 14.68/10.46 tff(34654,plain,
% 14.68/10.46 (xuntil6(s312)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34653, 34651])).
% 14.68/10.46 tff(34655,plain,
% 14.68/10.46 (until5(s313)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28086, 34654])).
% 14.68/10.46 tff(34656,plain,
% 14.68/10.46 (~node4(s313)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28090, 36, 34634])).
% 14.68/10.46 tff(34657,plain,
% 14.68/10.46 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28097, 294, 34656])).
% 14.68/10.46 tff(34658,plain,
% 14.68/10.46 (xuntil6(s313)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34657, 34655])).
% 14.68/10.46 tff(34659,plain,
% 14.68/10.46 (until5(s314)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28103, 34658])).
% 14.68/10.46 tff(34660,plain,
% 14.68/10.46 (~node4(s314)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28107, 36, 34633])).
% 14.68/10.46 tff(34661,plain,
% 14.68/10.46 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28114, 294, 34660])).
% 14.68/10.46 tff(34662,plain,
% 14.68/10.46 (xuntil6(s314)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34661, 34659])).
% 14.68/10.46 tff(34663,plain,
% 14.68/10.46 (until5(s315)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28120, 34662])).
% 14.68/10.46 tff(34664,plain,
% 14.68/10.46 (~node4(s315)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28124, 36, 34632])).
% 14.68/10.46 tff(34665,plain,
% 14.68/10.46 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28131, 294, 34664])).
% 14.68/10.46 tff(34666,plain,
% 14.68/10.46 (xuntil6(s315)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34665, 34663])).
% 14.68/10.46 tff(34667,plain,
% 14.68/10.46 (until5(s316)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28137, 34666])).
% 14.68/10.46 tff(34668,plain,
% 14.68/10.46 (~node4(s316)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28141, 36, 34631])).
% 14.68/10.46 tff(34669,plain,
% 14.68/10.46 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28148, 294, 34668])).
% 14.68/10.46 tff(34670,plain,
% 14.68/10.46 (xuntil6(s316)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34669, 34667])).
% 14.68/10.46 tff(34671,plain,
% 14.68/10.46 (until5(s317)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28154, 34670])).
% 14.68/10.46 tff(34672,plain,
% 14.68/10.46 (~node4(s317)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28158, 36, 34630])).
% 14.68/10.46 tff(34673,plain,
% 14.68/10.46 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28165, 294, 34672])).
% 14.68/10.46 tff(34674,plain,
% 14.68/10.46 (xuntil6(s317)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34673, 34671])).
% 14.68/10.46 tff(34675,plain,
% 14.68/10.46 (until5(s318)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28171, 34674])).
% 14.68/10.46 tff(34676,plain,
% 14.68/10.46 (~node4(s318)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28175, 36, 34629])).
% 14.68/10.46 tff(34677,plain,
% 14.68/10.46 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28182, 294, 34676])).
% 14.68/10.46 tff(34678,plain,
% 14.68/10.46 (xuntil6(s318)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34677, 34675])).
% 14.68/10.46 tff(34679,plain,
% 14.68/10.46 (until5(s319)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28188, 34678])).
% 14.68/10.46 tff(34680,plain,
% 14.68/10.46 (~node4(s319)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28192, 36, 34628])).
% 14.68/10.46 tff(34681,plain,
% 14.68/10.46 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28199, 294, 34680])).
% 14.68/10.46 tff(34682,plain,
% 14.68/10.46 (xuntil6(s319)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34681, 34679])).
% 14.68/10.46 tff(34683,plain,
% 14.68/10.46 (until5(s320)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28205, 34682])).
% 14.68/10.46 tff(34684,plain,
% 14.68/10.46 (~node4(s320)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28209, 36, 34627])).
% 14.68/10.46 tff(34685,plain,
% 14.68/10.46 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28216, 294, 34684])).
% 14.68/10.46 tff(34686,plain,
% 14.68/10.46 (xuntil6(s320)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34685, 34683])).
% 14.68/10.46 tff(34687,plain,
% 14.68/10.46 (until5(s321)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28222, 34686])).
% 14.68/10.46 tff(34688,plain,
% 14.68/10.46 (~node4(s321)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28226, 36, 34626])).
% 14.68/10.46 tff(34689,plain,
% 14.68/10.46 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28233, 294, 34688])).
% 14.68/10.46 tff(34690,plain,
% 14.68/10.46 (xuntil6(s321)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34689, 34687])).
% 14.68/10.46 tff(34691,plain,
% 14.68/10.46 (until5(s322)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28239, 34690])).
% 14.68/10.46 tff(34692,plain,
% 14.68/10.46 (~node4(s322)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28243, 36, 34625])).
% 14.68/10.46 tff(34693,plain,
% 14.68/10.46 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28250, 294, 34692])).
% 14.68/10.46 tff(34694,plain,
% 14.68/10.46 (xuntil6(s322)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34693, 34691])).
% 14.68/10.46 tff(34695,plain,
% 14.68/10.46 ($false),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28256, 34694, 34624])).
% 14.68/10.46 tff(34696,plain,(always3(s336) | (~until5(s308)) | xuntil6(s336)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.46 tff(34697,plain,
% 14.68/10.46 (always3(s336)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34696, 34555, 31976])).
% 14.68/10.46 tff(34698,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s336)) | (~m_main_v_state(s336, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s336)) | (~m_main_v_state(s336, c_busy)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34699,plain,
% 14.68/10.46 (((~m_main_v_state(s336, c_busy)) | (~always3(s336))) <=> ((~always3(s336)) | (~m_main_v_state(s336, c_busy)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34700,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s336, c_busy)) | (~always3(s336)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s336)) | (~m_main_v_state(s336, c_busy))))),
% 14.68/10.46 inference(monotonicity,[status(thm)],[34699])).
% 14.68/10.46 tff(34701,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s336, c_busy)) | (~always3(s336)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s336)) | (~m_main_v_state(s336, c_busy)))),
% 14.68/10.46 inference(transitivity,[status(thm)],[34700, 34698])).
% 14.68/10.46 tff(34702,plain,
% 14.68/10.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s336, c_busy)) | (~always3(s336)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34703,plain,
% 14.68/10.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s336)) | (~m_main_v_state(s336, c_busy))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34702, 34701])).
% 14.68/10.46 tff(34704,plain,
% 14.68/10.46 (~m_main_v_state(s336, c_busy)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34703, 85, 34697])).
% 14.68/10.46 tff(34705,assumption,(until5(s311)), introduced(assumption)).
% 14.68/10.46 tff(34706,assumption,(~xuntil6(s335)), introduced(assumption)).
% 14.68/10.46 tff(34707,assumption,(~always3(s335)), introduced(assumption)).
% 14.68/10.46 tff(34708,plain,
% 14.68/10.46 (~always3(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27690, 34707])).
% 14.68/10.46 tff(34709,plain,
% 14.68/10.46 (~always3(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27702, 34708])).
% 14.68/10.46 tff(34710,plain,
% 14.68/10.46 (~always3(s332)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27714, 34709])).
% 14.68/10.46 tff(34711,plain,
% 14.68/10.46 (~always3(s331)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27726, 34710])).
% 14.68/10.46 tff(34712,plain,
% 14.68/10.46 (~always3(s330)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27738, 34711])).
% 14.68/10.46 tff(34713,plain,
% 14.68/10.46 (~always3(s329)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27750, 34712])).
% 14.68/10.46 tff(34714,plain,
% 14.68/10.46 (~always3(s328)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27762, 34713])).
% 14.68/10.46 tff(34715,plain,
% 14.68/10.46 (~always3(s327)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27774, 34714])).
% 14.68/10.46 tff(34716,plain,
% 14.68/10.46 (~always3(s326)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27786, 34715])).
% 14.68/10.46 tff(34717,plain,
% 14.68/10.46 (~always3(s325)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27798, 34716])).
% 14.68/10.46 tff(34718,plain,
% 14.68/10.46 (~always3(s324)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27810, 34717])).
% 14.68/10.46 tff(34719,plain,
% 14.68/10.46 (~always3(s323)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27822, 34718])).
% 14.68/10.46 tff(34720,plain,
% 14.68/10.46 (~always3(s322)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27834, 34719])).
% 14.68/10.46 tff(34721,plain,
% 14.68/10.46 (~always3(s321)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27846, 34720])).
% 14.68/10.46 tff(34722,plain,
% 14.68/10.46 (~always3(s320)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27858, 34721])).
% 14.68/10.46 tff(34723,plain,
% 14.68/10.46 (~always3(s319)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27870, 34722])).
% 14.68/10.46 tff(34724,plain,
% 14.68/10.46 (~always3(s318)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27882, 34723])).
% 14.68/10.46 tff(34725,plain,
% 14.68/10.46 (~always3(s317)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27894, 34724])).
% 14.68/10.46 tff(34726,plain,
% 14.68/10.46 (~always3(s316)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27906, 34725])).
% 14.68/10.46 tff(34727,plain,
% 14.68/10.46 (~always3(s315)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27918, 34726])).
% 14.68/10.46 tff(34728,plain,
% 14.68/10.46 (~always3(s314)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27930, 34727])).
% 14.68/10.46 tff(34729,plain,
% 14.68/10.46 (~always3(s313)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27942, 34728])).
% 14.68/10.46 tff(34730,plain,
% 14.68/10.46 (~always3(s312)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27954, 34729])).
% 14.68/10.46 tff(34731,plain,
% 14.68/10.46 (~node4(s312)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28073, 36, 34730])).
% 14.68/10.46 tff(34732,plain,
% 14.68/10.46 (~always3(s311)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27966, 34730])).
% 14.68/10.46 tff(34733,plain,
% 14.68/10.46 (~node4(s311)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28056, 36, 34732])).
% 14.68/10.46 tff(34734,plain,
% 14.68/10.46 (xuntil6(s311) | node4(s311)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28063, 294, 34705])).
% 14.68/10.46 tff(34735,plain,
% 14.68/10.46 (xuntil6(s311)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34734, 34733])).
% 14.68/10.46 tff(34736,plain,
% 14.68/10.46 (until5(s312)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28069, 34735])).
% 14.68/10.46 tff(34737,plain,
% 14.68/10.46 (xuntil6(s312)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28080, 294, 34736, 34731])).
% 14.68/10.46 tff(34738,plain,
% 14.68/10.46 (until5(s313)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28086, 34737])).
% 14.68/10.46 tff(34739,plain,
% 14.68/10.46 (~node4(s313)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28090, 36, 34729])).
% 14.68/10.46 tff(34740,plain,
% 14.68/10.46 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28097, 294, 34739])).
% 14.68/10.46 tff(34741,plain,
% 14.68/10.46 (xuntil6(s313)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34740, 34738])).
% 14.68/10.46 tff(34742,plain,
% 14.68/10.46 (until5(s314)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28103, 34741])).
% 14.68/10.46 tff(34743,plain,
% 14.68/10.46 (~node4(s314)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28107, 36, 34728])).
% 14.68/10.46 tff(34744,plain,
% 14.68/10.46 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28114, 294, 34743])).
% 14.68/10.46 tff(34745,plain,
% 14.68/10.46 (xuntil6(s314)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34744, 34742])).
% 14.68/10.46 tff(34746,plain,
% 14.68/10.46 (until5(s315)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28120, 34745])).
% 14.68/10.46 tff(34747,plain,
% 14.68/10.46 (~node4(s315)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28124, 36, 34727])).
% 14.68/10.46 tff(34748,plain,
% 14.68/10.46 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28131, 294, 34747])).
% 14.68/10.46 tff(34749,plain,
% 14.68/10.46 (xuntil6(s315)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34748, 34746])).
% 14.68/10.46 tff(34750,plain,
% 14.68/10.46 (until5(s316)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28137, 34749])).
% 14.68/10.46 tff(34751,plain,
% 14.68/10.46 (~node4(s316)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28141, 36, 34726])).
% 14.68/10.46 tff(34752,plain,
% 14.68/10.46 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28148, 294, 34751])).
% 14.68/10.46 tff(34753,plain,
% 14.68/10.46 (xuntil6(s316)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34752, 34750])).
% 14.68/10.46 tff(34754,plain,
% 14.68/10.46 (until5(s317)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28154, 34753])).
% 14.68/10.46 tff(34755,plain,
% 14.68/10.46 (~node4(s317)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28158, 36, 34725])).
% 14.68/10.46 tff(34756,plain,
% 14.68/10.46 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28165, 294, 34755])).
% 14.68/10.46 tff(34757,plain,
% 14.68/10.46 (xuntil6(s317)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34756, 34754])).
% 14.68/10.46 tff(34758,plain,
% 14.68/10.46 (until5(s318)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28171, 34757])).
% 14.68/10.46 tff(34759,plain,
% 14.68/10.46 (~node4(s318)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28175, 36, 34724])).
% 14.68/10.46 tff(34760,plain,
% 14.68/10.46 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28182, 294, 34759])).
% 14.68/10.46 tff(34761,plain,
% 14.68/10.46 (xuntil6(s318)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34760, 34758])).
% 14.68/10.46 tff(34762,plain,
% 14.68/10.46 (until5(s319)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28188, 34761])).
% 14.68/10.46 tff(34763,plain,
% 14.68/10.46 (~node4(s319)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28192, 36, 34723])).
% 14.68/10.46 tff(34764,plain,
% 14.68/10.46 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28199, 294, 34763])).
% 14.68/10.46 tff(34765,plain,
% 14.68/10.46 (xuntil6(s319)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34764, 34762])).
% 14.68/10.46 tff(34766,plain,
% 14.68/10.46 (until5(s320)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28205, 34765])).
% 14.68/10.46 tff(34767,plain,
% 14.68/10.46 (~node4(s320)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28209, 36, 34722])).
% 14.68/10.46 tff(34768,plain,
% 14.68/10.46 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28216, 294, 34767])).
% 14.68/10.46 tff(34769,plain,
% 14.68/10.46 (xuntil6(s320)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34768, 34766])).
% 14.68/10.46 tff(34770,plain,
% 14.68/10.46 (until5(s321)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28222, 34769])).
% 14.68/10.46 tff(34771,plain,
% 14.68/10.46 (~node4(s321)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28226, 36, 34721])).
% 14.68/10.46 tff(34772,plain,
% 14.68/10.46 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28233, 294, 34771])).
% 14.68/10.46 tff(34773,plain,
% 14.68/10.46 (xuntil6(s321)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34772, 34770])).
% 14.68/10.46 tff(34774,plain,
% 14.68/10.46 (until5(s322)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28239, 34773])).
% 14.68/10.46 tff(34775,plain,
% 14.68/10.46 (~node4(s322)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28243, 36, 34720])).
% 14.68/10.46 tff(34776,plain,
% 14.68/10.46 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28250, 294, 34775])).
% 14.68/10.46 tff(34777,plain,
% 14.68/10.46 (xuntil6(s322)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34776, 34774])).
% 14.68/10.46 tff(34778,plain,
% 14.68/10.46 (until5(s323)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28256, 34777])).
% 14.68/10.46 tff(34779,plain,
% 14.68/10.46 (~node4(s323)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28260, 36, 34719])).
% 14.68/10.46 tff(34780,plain,
% 14.68/10.46 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28267, 294, 34779])).
% 14.68/10.46 tff(34781,plain,
% 14.68/10.46 (xuntil6(s323)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34780, 34778])).
% 14.68/10.46 tff(34782,plain,
% 14.68/10.46 (until5(s324)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28273, 34781])).
% 14.68/10.46 tff(34783,plain,
% 14.68/10.46 (~node4(s324)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28277, 36, 34718])).
% 14.68/10.46 tff(34784,plain,
% 14.68/10.46 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28284, 294, 34783])).
% 14.68/10.46 tff(34785,plain,
% 14.68/10.46 (xuntil6(s324)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34784, 34782])).
% 14.68/10.46 tff(34786,plain,
% 14.68/10.46 (until5(s325)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28290, 34785])).
% 14.68/10.46 tff(34787,plain,
% 14.68/10.46 (~node4(s325)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28294, 36, 34717])).
% 14.68/10.46 tff(34788,plain,
% 14.68/10.46 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28301, 294, 34787])).
% 14.68/10.46 tff(34789,plain,
% 14.68/10.46 (xuntil6(s325)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34788, 34786])).
% 14.68/10.46 tff(34790,plain,
% 14.68/10.46 (until5(s326)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28307, 34789])).
% 14.68/10.46 tff(34791,plain,
% 14.68/10.46 (~node4(s326)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28311, 36, 34716])).
% 14.68/10.46 tff(34792,plain,
% 14.68/10.46 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28318, 294, 34791])).
% 14.68/10.46 tff(34793,plain,
% 14.68/10.46 (xuntil6(s326)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34792, 34790])).
% 14.68/10.46 tff(34794,plain,
% 14.68/10.46 (until5(s327)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28324, 34793])).
% 14.68/10.46 tff(34795,plain,
% 14.68/10.46 (~node4(s327)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28328, 36, 34715])).
% 14.68/10.46 tff(34796,plain,
% 14.68/10.46 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28335, 294, 34795])).
% 14.68/10.46 tff(34797,plain,
% 14.68/10.46 (xuntil6(s327)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34796, 34794])).
% 14.68/10.46 tff(34798,plain,
% 14.68/10.46 (until5(s328)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28341, 34797])).
% 14.68/10.46 tff(34799,plain,
% 14.68/10.46 (~node4(s328)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28345, 36, 34714])).
% 14.68/10.46 tff(34800,plain,
% 14.68/10.46 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28352, 294, 34799])).
% 14.68/10.46 tff(34801,plain,
% 14.68/10.46 (xuntil6(s328)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34800, 34798])).
% 14.68/10.46 tff(34802,plain,
% 14.68/10.46 (until5(s329)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28358, 34801])).
% 14.68/10.46 tff(34803,plain,
% 14.68/10.46 (~node4(s329)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28362, 36, 34713])).
% 14.68/10.46 tff(34804,plain,
% 14.68/10.46 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28369, 294, 34803])).
% 14.68/10.46 tff(34805,plain,
% 14.68/10.46 (xuntil6(s329)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34804, 34802])).
% 14.68/10.46 tff(34806,plain,
% 14.68/10.46 (until5(s330)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28375, 34805])).
% 14.68/10.46 tff(34807,plain,
% 14.68/10.46 (~node4(s330)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28379, 36, 34712])).
% 14.68/10.46 tff(34808,plain,
% 14.68/10.46 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28386, 294, 34807])).
% 14.68/10.46 tff(34809,plain,
% 14.68/10.46 (xuntil6(s330)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34808, 34806])).
% 14.68/10.46 tff(34810,plain,
% 14.68/10.46 (until5(s331)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28392, 34809])).
% 14.68/10.46 tff(34811,plain,
% 14.68/10.46 (~node4(s331)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28396, 36, 34711])).
% 14.68/10.46 tff(34812,plain,
% 14.68/10.46 (xuntil6(s331) | (~until5(s331))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28403, 294, 34811])).
% 14.68/10.46 tff(34813,plain,
% 14.68/10.46 (xuntil6(s331)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34812, 34810])).
% 14.68/10.46 tff(34814,plain,
% 14.68/10.46 (until5(s332)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28409, 34813])).
% 14.68/10.46 tff(34815,plain,
% 14.68/10.46 (~node4(s332)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28413, 36, 34710])).
% 14.68/10.46 tff(34816,plain,
% 14.68/10.46 (xuntil6(s332) | (~until5(s332))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28420, 294, 34815])).
% 14.68/10.46 tff(34817,plain,
% 14.68/10.46 (xuntil6(s332)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34816, 34814])).
% 14.68/10.46 tff(34818,plain,
% 14.68/10.46 (until5(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28426, 34817])).
% 14.68/10.46 tff(34819,plain,
% 14.68/10.46 (~node4(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28430, 36, 34709])).
% 14.68/10.46 tff(34820,plain,
% 14.68/10.46 (xuntil6(s333) | (~until5(s333))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28437, 294, 34819])).
% 14.68/10.46 tff(34821,plain,
% 14.68/10.46 (xuntil6(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34820, 34818])).
% 14.68/10.46 tff(34822,plain,
% 14.68/10.46 (until5(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28443, 34821])).
% 14.68/10.46 tff(34823,plain,
% 14.68/10.46 (~node4(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28447, 36, 34708])).
% 14.68/10.46 tff(34824,plain,
% 14.68/10.46 (xuntil6(s334) | (~until5(s334))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28454, 294, 34823])).
% 14.68/10.46 tff(34825,plain,
% 14.68/10.46 (xuntil6(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34824, 34822])).
% 14.68/10.46 tff(34826,plain,
% 14.68/10.46 (until5(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28460, 34825])).
% 14.68/10.46 tff(34827,plain,
% 14.68/10.46 (node4(s335) | (~until5(s335))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28471, 294, 34706])).
% 14.68/10.46 tff(34828,plain,
% 14.68/10.46 (node4(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34827, 34826])).
% 14.68/10.46 tff(34829,plain,
% 14.68/10.46 ($false),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28464, 36, 34707, 34828])).
% 14.68/10.46 tff(34830,plain,(always3(s335) | xuntil6(s335) | (~until5(s311))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.46 tff(34831,plain,
% 14.68/10.46 (always3(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34830, 34705, 34706])).
% 14.68/10.46 tff(34832,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s335)) | (~m_main_v_state(s335, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s335)) | (~m_main_v_state(s335, c_busy)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34833,plain,
% 14.68/10.46 (((~m_main_v_state(s335, c_busy)) | (~always3(s335))) <=> ((~always3(s335)) | (~m_main_v_state(s335, c_busy)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34834,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s335, c_busy)) | (~always3(s335)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s335)) | (~m_main_v_state(s335, c_busy))))),
% 14.68/10.46 inference(monotonicity,[status(thm)],[34833])).
% 14.68/10.46 tff(34835,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s335, c_busy)) | (~always3(s335)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s335)) | (~m_main_v_state(s335, c_busy)))),
% 14.68/10.46 inference(transitivity,[status(thm)],[34834, 34832])).
% 14.68/10.46 tff(34836,plain,
% 14.68/10.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s335, c_busy)) | (~always3(s335)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34837,plain,
% 14.68/10.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s335)) | (~m_main_v_state(s335, c_busy))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34836, 34835])).
% 14.68/10.46 tff(34838,plain,
% 14.68/10.46 (~m_main_v_state(s335, c_busy)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34837, 85, 34831])).
% 14.68/10.46 tff(34839,assumption,(~m_main_v_state(s336, c_busy)), introduced(assumption)).
% 14.68/10.46 tff(34840,plain,
% 14.68/10.46 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s335, c_busy) | m_main_v_state(s335, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s335, c_busy) | m_main_v_state(s335, c_ready))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34841,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s335, c_busy) | m_main_v_state(s335, c_ready))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34842,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s335, c_busy) | m_main_v_state(s335, c_ready)),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34841, 34840])).
% 14.68/10.46 tff(34843,plain,
% 14.68/10.46 (m_main_v_state(s335, c_ready)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34842, 102, 34838])).
% 14.68/10.46 tff(34844,plain,
% 14.68/10.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s335, s336)) | node2(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s335, s336)) | node2(s335, s336))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34845,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s335, s336)) | node2(s335, s336))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34846,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s335, s336)) | node2(s335, s336)),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34845, 34844])).
% 14.68/10.46 tff(34847,plain,
% 14.68/10.46 (node2(s335, s336)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34846, 7, 27674])).
% 14.68/10.46 tff(34848,plain,
% 14.68/10.46 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s335, c_ready)) | (~node2(s335, s336)) | m_main_v_state(s336, c_busy) | (~m_main_v_request(s335)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s335, c_ready)) | (~node2(s335, s336)) | m_main_v_state(s336, c_busy) | (~m_main_v_request(s335)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34849,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s335, c_ready)) | (~node2(s335, s336)) | m_main_v_state(s336, c_busy) | (~m_main_v_request(s335)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34850,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s335, c_ready)) | (~node2(s335, s336)) | m_main_v_state(s336, c_busy) | (~m_main_v_request(s335))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34849, 34848])).
% 14.68/10.46 tff(34851,plain,
% 14.68/10.46 ((~m_main_v_state(s335, c_ready)) | m_main_v_state(s336, c_busy) | (~m_main_v_request(s335))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34850, 73, 34847])).
% 14.68/10.46 tff(34852,plain,
% 14.68/10.46 (~m_main_v_request(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34851, 34843, 34839])).
% 14.68/10.46 tff(34853,plain,
% 14.68/10.46 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s335) | (~node4(s335)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s335) | (~node4(s335)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34854,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s335) | (~node4(s335)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34855,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s335) | (~node4(s335))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34854, 34853])).
% 14.68/10.46 tff(34856,plain,
% 14.68/10.46 (~node4(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34855, 21, 34852])).
% 14.68/10.46 tff(34857,plain,
% 14.68/10.46 (~until5(s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34827, 34856])).
% 14.68/10.46 tff(34858,plain,
% 14.68/10.46 (~xuntil6(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28460, 34857])).
% 14.68/10.46 tff(34859,assumption,(~xuntil6(s334)), introduced(assumption)).
% 14.68/10.46 tff(34860,assumption,(until5(s333)), introduced(assumption)).
% 14.68/10.46 tff(34861,assumption,(~always3(s334)), introduced(assumption)).
% 14.68/10.46 tff(34862,plain,
% 14.68/10.46 (~always3(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[27702, 34861])).
% 14.68/10.46 tff(34863,plain,
% 14.68/10.46 (~node4(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28430, 36, 34862])).
% 14.68/10.46 tff(34864,plain,
% 14.68/10.46 (xuntil6(s333) | node4(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28437, 294, 34860])).
% 14.68/10.46 tff(34865,plain,
% 14.68/10.46 (xuntil6(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34864, 34863])).
% 14.68/10.46 tff(34866,plain,
% 14.68/10.46 (until5(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28443, 34865])).
% 14.68/10.46 tff(34867,plain,
% 14.68/10.46 (node4(s334) | (~until5(s334))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28454, 294, 34859])).
% 14.68/10.46 tff(34868,plain,
% 14.68/10.46 (node4(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34867, 34866])).
% 14.68/10.46 tff(34869,plain,
% 14.68/10.46 ($false),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28447, 36, 34861, 34868])).
% 14.68/10.46 tff(34870,plain,(always3(s334) | xuntil6(s334) | (~until5(s333))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.46 tff(34871,plain,
% 14.68/10.46 (always3(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34870, 34860, 34859])).
% 14.68/10.46 tff(34872,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s334)) | (~m_main_v_state(s334, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s334)) | (~m_main_v_state(s334, c_busy)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34873,plain,
% 14.68/10.46 (((~m_main_v_state(s334, c_busy)) | (~always3(s334))) <=> ((~always3(s334)) | (~m_main_v_state(s334, c_busy)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34874,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s334, c_busy)) | (~always3(s334)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s334)) | (~m_main_v_state(s334, c_busy))))),
% 14.68/10.46 inference(monotonicity,[status(thm)],[34873])).
% 14.68/10.46 tff(34875,plain,
% 14.68/10.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s334, c_busy)) | (~always3(s334)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s334)) | (~m_main_v_state(s334, c_busy)))),
% 14.68/10.46 inference(transitivity,[status(thm)],[34874, 34872])).
% 14.68/10.46 tff(34876,plain,
% 14.68/10.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s334, c_busy)) | (~always3(s334)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34877,plain,
% 14.68/10.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s334)) | (~m_main_v_state(s334, c_busy))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34876, 34875])).
% 14.68/10.46 tff(34878,plain,
% 14.68/10.46 (~m_main_v_state(s334, c_busy)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34877, 85, 34871])).
% 14.68/10.46 tff(34879,assumption,(~m_main_v_state(s335, c_busy)), introduced(assumption)).
% 14.68/10.46 tff(34880,assumption,(~m_main_v_state(s334, c_ready)), introduced(assumption)).
% 14.68/10.46 tff(34881,assumption,(~m_main_v_state(s334, c_busy)), introduced(assumption)).
% 14.68/10.46 tff(34882,plain,
% 14.68/10.46 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s334, c_busy) | m_main_v_state(s334, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s334, c_busy) | m_main_v_state(s334, c_ready))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34883,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s334, c_busy) | m_main_v_state(s334, c_ready))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34884,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s334, c_busy) | m_main_v_state(s334, c_ready)),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34883, 34882])).
% 14.68/10.46 tff(34885,plain,
% 14.68/10.46 ($false),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34884, 102, 34881, 34880])).
% 14.68/10.46 tff(34886,plain,(m_main_v_state(s334, c_ready) | m_main_v_state(s334, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.46 tff(34887,plain,
% 14.68/10.46 (m_main_v_state(s334, c_ready)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34886, 34878])).
% 14.68/10.46 tff(34888,plain,
% 14.68/10.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s334, s335)) | node2(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s334, s335)) | node2(s334, s335))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34889,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s334, s335)) | node2(s334, s335))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34890,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s334, s335)) | node2(s334, s335)),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34889, 34888])).
% 14.68/10.46 tff(34891,plain,
% 14.68/10.46 (node2(s334, s335)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34890, 7, 27686])).
% 14.68/10.46 tff(34892,plain,
% 14.68/10.46 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s334, c_ready)) | (~node2(s334, s335)) | m_main_v_state(s335, c_busy) | (~m_main_v_request(s334)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s334, c_ready)) | (~node2(s334, s335)) | m_main_v_state(s335, c_busy) | (~m_main_v_request(s334)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34893,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s334, c_ready)) | (~node2(s334, s335)) | m_main_v_state(s335, c_busy) | (~m_main_v_request(s334)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34894,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s334, c_ready)) | (~node2(s334, s335)) | m_main_v_state(s335, c_busy) | (~m_main_v_request(s334))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34893, 34892])).
% 14.68/10.46 tff(34895,plain,
% 14.68/10.46 ((~m_main_v_state(s334, c_ready)) | m_main_v_state(s335, c_busy) | (~m_main_v_request(s334))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34894, 73, 34891])).
% 14.68/10.46 tff(34896,plain,
% 14.68/10.46 (~m_main_v_request(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34895, 34887, 34879])).
% 14.68/10.46 tff(34897,plain,
% 14.68/10.46 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s334) | (~node4(s334)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s334) | (~node4(s334)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34898,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s334) | (~node4(s334)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34899,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s334) | (~node4(s334))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34898, 34897])).
% 14.68/10.46 tff(34900,plain,
% 14.68/10.46 (~node4(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34899, 21, 34896])).
% 14.68/10.46 tff(34901,plain,
% 14.68/10.46 (~until5(s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34867, 34900])).
% 14.68/10.46 tff(34902,plain,
% 14.68/10.46 (~xuntil6(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[28443, 34901])).
% 14.68/10.46 tff(34903,plain,
% 14.68/10.46 (node4(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34864, 34902])).
% 14.68/10.46 tff(34904,plain,
% 14.68/10.46 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s333) | (~node4(s333)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s333) | (~node4(s333)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34905,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s333) | (~node4(s333)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34906,plain,
% 14.68/10.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s333) | (~node4(s333))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 14.68/10.46 tff(34907,plain,
% 14.68/10.46 (m_main_v_request(s333)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34906, 21, 34903])).
% 14.68/10.46 tff(34908,plain,
% 14.68/10.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s333, s334)) | node2(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s333, s334)) | node2(s333, s334))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34909,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s333, s334)) | node2(s333, s334))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34910,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s333, s334)) | node2(s333, s334)),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34909, 34908])).
% 14.68/10.46 tff(34911,plain,
% 14.68/10.46 (node2(s333, s334)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34910, 7, 27698])).
% 14.68/10.46 tff(34912,plain,
% 14.68/10.46 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s333, c_ready)) | (~node2(s333, s334)) | m_main_v_state(s334, c_busy) | (~m_main_v_request(s333)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s333, c_ready)) | (~node2(s333, s334)) | m_main_v_state(s334, c_busy) | (~m_main_v_request(s333)))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34913,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s333, c_ready)) | (~node2(s333, s334)) | m_main_v_state(s334, c_busy) | (~m_main_v_request(s333)))),
% 14.68/10.46 inference(quant_inst,[status(thm)],[])).
% 14.68/10.46 tff(34914,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s333, c_ready)) | (~node2(s333, s334)) | m_main_v_state(s334, c_busy) | (~m_main_v_request(s333))),
% 14.68/10.46 inference(modus_ponens,[status(thm)],[34913, 34912])).
% 14.68/10.46 tff(34915,plain,
% 14.68/10.46 ((~m_main_v_state(s333, c_ready)) | m_main_v_state(s334, c_busy) | (~m_main_v_request(s333))),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34914, 73, 34911])).
% 14.68/10.46 tff(34916,plain,
% 14.68/10.46 (~m_main_v_state(s333, c_ready)),
% 14.68/10.46 inference(unit_resolution,[status(thm)],[34915, 34907, 34878])).
% 14.68/10.46 tff(34917,assumption,(~m_main_v_state(s333, c_busy)), introduced(assumption)).
% 14.68/10.46 tff(34918,assumption,(~m_main_v_state(s333, c_ready)), introduced(assumption)).
% 14.68/10.46 tff(34919,plain,
% 14.68/10.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s332, s333)) | node2(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s332, s333)) | node2(s332, s333))),
% 14.68/10.46 inference(rewrite,[status(thm)],[])).
% 14.68/10.46 tff(34920,plain,
% 14.68/10.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s332, s333)) | node2(s332, s333))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(34921,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s332, s333)) | node2(s332, s333)),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[34920, 34919])).
% 14.68/10.47 tff(34922,plain,
% 14.68/10.47 (node2(s332, s333)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34921, 7, 27710])).
% 14.68/10.47 tff(34923,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s332, s333)) | m_main_v_state(s333, c_busy) | node1(s332) | m_main_v_state(s333, 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(s332, s333)) | m_main_v_state(s333, c_busy) | node1(s332) | m_main_v_state(s333, c_ready))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(34924,plain,
% 14.68/10.47 ((node1(s332) | m_main_v_state(s333, c_ready) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy)) <=> ((~node2(s332, s333)) | m_main_v_state(s333, c_busy) | node1(s332) | m_main_v_state(s333, c_ready))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(34925,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s332) | m_main_v_state(s333, c_ready) | (~node2(s332, s333)) | m_main_v_state(s333, 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(s332, s333)) | m_main_v_state(s333, c_busy) | node1(s332) | m_main_v_state(s333, c_ready)))),
% 14.68/10.47 inference(monotonicity,[status(thm)],[34924])).
% 14.68/10.47 tff(34926,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s332) | m_main_v_state(s333, c_ready) | (~node2(s332, s333)) | m_main_v_state(s333, 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(s332, s333)) | m_main_v_state(s333, c_busy) | node1(s332) | m_main_v_state(s333, c_ready))),
% 14.68/10.47 inference(transitivity,[status(thm)],[34925, 34923])).
% 14.68/10.47 tff(34927,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s332) | m_main_v_state(s333, c_ready) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(34928,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | node1(s332) | m_main_v_state(s333, c_ready)),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[34927, 34926])).
% 14.68/10.47 tff(34929,plain,
% 14.68/10.47 (m_main_v_state(s333, c_busy) | node1(s332) | m_main_v_state(s333, c_ready)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34928, 3551, 34922])).
% 14.68/10.47 tff(34930,plain,
% 14.68/10.47 (node1(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34929, 34918, 34917])).
% 14.68/10.47 tff(34931,plain,
% 14.68/10.47 (node1(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34929, 34917, 34918])).
% 14.68/10.47 tff(34932,assumption,(m_main_v_state(s332, c_ready)), introduced(assumption)).
% 14.68/10.47 tff(34933,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s332, c_ready)) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s332, c_ready)) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(34934,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s332, c_ready)) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(34935,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s332, c_ready)) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[34934, 34933])).
% 14.68/10.47 tff(34936,plain,
% 14.68/10.47 ((~m_main_v_state(s332, c_ready)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34935, 73, 34922])).
% 14.68/10.47 tff(34937,plain,
% 14.68/10.47 (~m_main_v_request(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34936, 34917, 34932])).
% 14.68/10.47 tff(34938,plain,
% 14.68/10.47 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s332) | (~node1(s332)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s332) | (~node1(s332)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(34939,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s332) | (~node1(s332)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(34940,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s332) | (~node1(s332))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[34939, 34938])).
% 14.68/10.47 tff(34941,plain,
% 14.68/10.47 ($false),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34940, 3568, 34937, 34931])).
% 14.68/10.47 tff(34942,plain,(m_main_v_state(s333, c_busy) | (~m_main_v_state(s332, c_ready)) | m_main_v_state(s333, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.47 tff(34943,plain,
% 14.68/10.47 (~m_main_v_state(s332, c_ready)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34942, 34918, 34917])).
% 14.68/10.47 tff(34944,plain,
% 14.68/10.47 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s332, c_ready) | (~node1(s332)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s332, c_ready) | (~node1(s332)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(34945,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s332, c_ready) | (~node1(s332)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(34946,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s332, c_ready) | (~node1(s332))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[34945, 34944])).
% 14.68/10.47 tff(34947,plain,
% 14.68/10.47 ($false),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34946, 3581, 34943, 34930])).
% 14.68/10.47 tff(34948,plain,(m_main_v_state(s333, c_ready) | m_main_v_state(s333, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.47 tff(34949,plain,
% 14.68/10.47 (m_main_v_state(s333, c_busy)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34948, 34916])).
% 14.68/10.47 tff(34950,plain,
% 14.68/10.47 (always3(s333)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28430, 36, 34903])).
% 14.68/10.47 tff(34951,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s333)) | (~m_main_v_state(s333, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s333)) | (~m_main_v_state(s333, c_busy)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(34952,plain,
% 14.68/10.47 (((~m_main_v_state(s333, c_busy)) | (~always3(s333))) <=> ((~always3(s333)) | (~m_main_v_state(s333, c_busy)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(34953,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s333, c_busy)) | (~always3(s333)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s333)) | (~m_main_v_state(s333, c_busy))))),
% 14.68/10.47 inference(monotonicity,[status(thm)],[34952])).
% 14.68/10.47 tff(34954,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s333, c_busy)) | (~always3(s333)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s333)) | (~m_main_v_state(s333, c_busy)))),
% 14.68/10.47 inference(transitivity,[status(thm)],[34953, 34951])).
% 14.68/10.47 tff(34955,plain,
% 14.68/10.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s333, c_busy)) | (~always3(s333)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(34956,plain,
% 14.68/10.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s333)) | (~m_main_v_state(s333, c_busy))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[34955, 34954])).
% 14.68/10.47 tff(34957,plain,
% 14.68/10.47 ($false),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34956, 85, 34950, 34949])).
% 14.68/10.47 tff(34958,plain,((~until5(s333)) | xuntil6(s334) | m_main_v_state(s335, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.47 tff(34959,plain,
% 14.68/10.47 (~until5(s333)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34958, 34858, 34838])).
% 14.68/10.47 tff(34960,plain,
% 14.68/10.47 (~xuntil6(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28426, 34959])).
% 14.68/10.47 tff(34961,assumption,(~always3(s332)), introduced(assumption)).
% 14.68/10.47 tff(34962,plain,
% 14.68/10.47 (~always3(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27726, 34961])).
% 14.68/10.47 tff(34963,plain,
% 14.68/10.47 (~node4(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28396, 36, 34962])).
% 14.68/10.47 tff(34964,plain,
% 14.68/10.47 (~node4(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28413, 36, 34961])).
% 14.68/10.47 tff(34965,assumption,(~xuntil6(s332)), introduced(assumption)).
% 14.68/10.47 tff(34966,plain,
% 14.68/10.47 (node4(s332) | (~until5(s332))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28420, 294, 34965])).
% 14.68/10.47 tff(34967,plain,
% 14.68/10.47 (~until5(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34966, 34964])).
% 14.68/10.47 tff(34968,plain,
% 14.68/10.47 (~xuntil6(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28409, 34967])).
% 14.68/10.47 tff(34969,plain,
% 14.68/10.47 (~until5(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28403, 294, 34968, 34963])).
% 14.68/10.47 tff(34970,plain,
% 14.68/10.47 (~xuntil6(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28392, 34969])).
% 14.68/10.47 tff(34971,plain,
% 14.68/10.47 (~always3(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27738, 34962])).
% 14.68/10.47 tff(34972,plain,
% 14.68/10.47 (~node4(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28379, 36, 34971])).
% 14.68/10.47 tff(34973,plain,
% 14.68/10.47 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28386, 294, 34972])).
% 14.68/10.47 tff(34974,plain,
% 14.68/10.47 (~until5(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34973, 34970])).
% 14.68/10.47 tff(34975,plain,
% 14.68/10.47 (~xuntil6(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28375, 34974])).
% 14.68/10.47 tff(34976,plain,
% 14.68/10.47 (~always3(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27750, 34971])).
% 14.68/10.47 tff(34977,plain,
% 14.68/10.47 (~node4(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28362, 36, 34976])).
% 14.68/10.47 tff(34978,plain,
% 14.68/10.47 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28369, 294, 34977])).
% 14.68/10.47 tff(34979,plain,
% 14.68/10.47 (~until5(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34978, 34975])).
% 14.68/10.47 tff(34980,plain,
% 14.68/10.47 (~xuntil6(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28358, 34979])).
% 14.68/10.47 tff(34981,plain,
% 14.68/10.47 (~always3(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27762, 34976])).
% 14.68/10.47 tff(34982,plain,
% 14.68/10.47 (~node4(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28345, 36, 34981])).
% 14.68/10.47 tff(34983,plain,
% 14.68/10.47 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28352, 294, 34982])).
% 14.68/10.47 tff(34984,plain,
% 14.68/10.47 (~until5(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34983, 34980])).
% 14.68/10.47 tff(34985,plain,
% 14.68/10.47 (~xuntil6(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28341, 34984])).
% 14.68/10.47 tff(34986,plain,
% 14.68/10.47 (~always3(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27774, 34981])).
% 14.68/10.47 tff(34987,plain,
% 14.68/10.47 (~node4(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28328, 36, 34986])).
% 14.68/10.47 tff(34988,plain,
% 14.68/10.47 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28335, 294, 34987])).
% 14.68/10.47 tff(34989,plain,
% 14.68/10.47 (~until5(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34988, 34985])).
% 14.68/10.47 tff(34990,plain,
% 14.68/10.47 (~xuntil6(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28324, 34989])).
% 14.68/10.47 tff(34991,plain,
% 14.68/10.47 (~always3(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27786, 34986])).
% 14.68/10.47 tff(34992,plain,
% 14.68/10.47 (~node4(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28311, 36, 34991])).
% 14.68/10.47 tff(34993,plain,
% 14.68/10.47 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28318, 294, 34992])).
% 14.68/10.47 tff(34994,plain,
% 14.68/10.47 (~until5(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34993, 34990])).
% 14.68/10.47 tff(34995,plain,
% 14.68/10.47 (~xuntil6(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28307, 34994])).
% 14.68/10.47 tff(34996,plain,
% 14.68/10.47 (~always3(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27798, 34991])).
% 14.68/10.47 tff(34997,plain,
% 14.68/10.47 (~node4(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28294, 36, 34996])).
% 14.68/10.47 tff(34998,plain,
% 14.68/10.47 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28301, 294, 34997])).
% 14.68/10.47 tff(34999,plain,
% 14.68/10.47 (~until5(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34998, 34995])).
% 14.68/10.47 tff(35000,plain,
% 14.68/10.47 (~xuntil6(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28290, 34999])).
% 14.68/10.47 tff(35001,plain,
% 14.68/10.47 (~always3(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27810, 34996])).
% 14.68/10.47 tff(35002,plain,
% 14.68/10.47 (~node4(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28277, 36, 35001])).
% 14.68/10.47 tff(35003,plain,
% 14.68/10.47 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28284, 294, 35002])).
% 14.68/10.47 tff(35004,plain,
% 14.68/10.47 (~until5(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35003, 35000])).
% 14.68/10.47 tff(35005,plain,
% 14.68/10.47 (~xuntil6(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28273, 35004])).
% 14.68/10.47 tff(35006,plain,
% 14.68/10.47 (~always3(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27822, 35001])).
% 14.68/10.47 tff(35007,plain,
% 14.68/10.47 (~node4(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28260, 36, 35006])).
% 14.68/10.47 tff(35008,plain,
% 14.68/10.47 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28267, 294, 35007])).
% 14.68/10.47 tff(35009,plain,
% 14.68/10.47 (~until5(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35008, 35005])).
% 14.68/10.47 tff(35010,plain,
% 14.68/10.47 (~xuntil6(s322)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28256, 35009])).
% 14.68/10.47 tff(35011,plain,
% 14.68/10.47 (~always3(s322)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27834, 35006])).
% 14.68/10.47 tff(35012,plain,
% 14.68/10.47 (~node4(s322)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28243, 36, 35011])).
% 14.68/10.47 tff(35013,plain,
% 14.68/10.47 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28250, 294, 35012])).
% 14.68/10.47 tff(35014,plain,
% 14.68/10.47 (~until5(s322)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35013, 35010])).
% 14.68/10.47 tff(35015,plain,
% 14.68/10.47 (~always3(s321)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27846, 35011])).
% 14.68/10.47 tff(35016,plain,
% 14.68/10.47 (~always3(s320)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27858, 35015])).
% 14.68/10.47 tff(35017,plain,
% 14.68/10.47 (~always3(s319)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27870, 35016])).
% 14.68/10.47 tff(35018,plain,
% 14.68/10.47 (~always3(s318)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27882, 35017])).
% 14.68/10.47 tff(35019,plain,
% 14.68/10.47 (~always3(s317)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27894, 35018])).
% 14.68/10.47 tff(35020,plain,
% 14.68/10.47 (~always3(s316)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27906, 35019])).
% 14.68/10.47 tff(35021,plain,
% 14.68/10.47 (~always3(s315)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27918, 35020])).
% 14.68/10.47 tff(35022,plain,
% 14.68/10.47 (~always3(s314)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27930, 35021])).
% 14.68/10.47 tff(35023,plain,
% 14.68/10.47 (~always3(s313)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27942, 35022])).
% 14.68/10.47 tff(35024,plain,
% 14.68/10.47 (~always3(s312)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27954, 35023])).
% 14.68/10.47 tff(35025,plain,
% 14.68/10.47 (~node4(s312)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28073, 36, 35024])).
% 14.68/10.47 tff(35026,plain,
% 14.68/10.47 (~always3(s311)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27966, 35024])).
% 14.68/10.47 tff(35027,plain,
% 14.68/10.47 (~node4(s311)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28056, 36, 35026])).
% 14.68/10.47 tff(35028,plain,
% 14.68/10.47 (xuntil6(s311)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34734, 35027])).
% 14.68/10.47 tff(35029,plain,
% 14.68/10.47 (until5(s312)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28069, 35028])).
% 14.68/10.47 tff(35030,plain,
% 14.68/10.47 (xuntil6(s312)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28080, 294, 35029, 35025])).
% 14.68/10.47 tff(35031,plain,
% 14.68/10.47 (until5(s313)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28086, 35030])).
% 14.68/10.47 tff(35032,plain,
% 14.68/10.47 (~node4(s313)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28090, 36, 35023])).
% 14.68/10.47 tff(35033,plain,
% 14.68/10.47 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28097, 294, 35032])).
% 14.68/10.47 tff(35034,plain,
% 14.68/10.47 (xuntil6(s313)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35033, 35031])).
% 14.68/10.47 tff(35035,plain,
% 14.68/10.47 (until5(s314)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28103, 35034])).
% 14.68/10.47 tff(35036,plain,
% 14.68/10.47 (~node4(s314)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28107, 36, 35022])).
% 14.68/10.47 tff(35037,plain,
% 14.68/10.47 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28114, 294, 35036])).
% 14.68/10.47 tff(35038,plain,
% 14.68/10.47 (xuntil6(s314)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35037, 35035])).
% 14.68/10.47 tff(35039,plain,
% 14.68/10.47 (until5(s315)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28120, 35038])).
% 14.68/10.47 tff(35040,plain,
% 14.68/10.47 (~node4(s315)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28124, 36, 35021])).
% 14.68/10.47 tff(35041,plain,
% 14.68/10.47 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28131, 294, 35040])).
% 14.68/10.47 tff(35042,plain,
% 14.68/10.47 (xuntil6(s315)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35041, 35039])).
% 14.68/10.47 tff(35043,plain,
% 14.68/10.47 (until5(s316)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28137, 35042])).
% 14.68/10.47 tff(35044,plain,
% 14.68/10.47 (~node4(s316)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28141, 36, 35020])).
% 14.68/10.47 tff(35045,plain,
% 14.68/10.47 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28148, 294, 35044])).
% 14.68/10.47 tff(35046,plain,
% 14.68/10.47 (xuntil6(s316)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35045, 35043])).
% 14.68/10.47 tff(35047,plain,
% 14.68/10.47 (until5(s317)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28154, 35046])).
% 14.68/10.47 tff(35048,plain,
% 14.68/10.47 (~node4(s317)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28158, 36, 35019])).
% 14.68/10.47 tff(35049,plain,
% 14.68/10.47 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28165, 294, 35048])).
% 14.68/10.47 tff(35050,plain,
% 14.68/10.47 (xuntil6(s317)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35049, 35047])).
% 14.68/10.47 tff(35051,plain,
% 14.68/10.47 (until5(s318)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28171, 35050])).
% 14.68/10.47 tff(35052,plain,
% 14.68/10.47 (~node4(s318)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28175, 36, 35018])).
% 14.68/10.47 tff(35053,plain,
% 14.68/10.47 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28182, 294, 35052])).
% 14.68/10.47 tff(35054,plain,
% 14.68/10.47 (xuntil6(s318)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35053, 35051])).
% 14.68/10.47 tff(35055,plain,
% 14.68/10.47 (until5(s319)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28188, 35054])).
% 14.68/10.47 tff(35056,plain,
% 14.68/10.47 (~node4(s319)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28192, 36, 35017])).
% 14.68/10.47 tff(35057,plain,
% 14.68/10.47 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28199, 294, 35056])).
% 14.68/10.47 tff(35058,plain,
% 14.68/10.47 (xuntil6(s319)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35057, 35055])).
% 14.68/10.47 tff(35059,plain,
% 14.68/10.47 (until5(s320)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28205, 35058])).
% 14.68/10.47 tff(35060,plain,
% 14.68/10.47 (~node4(s320)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28209, 36, 35016])).
% 14.68/10.47 tff(35061,plain,
% 14.68/10.47 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28216, 294, 35060])).
% 14.68/10.47 tff(35062,plain,
% 14.68/10.47 (xuntil6(s320)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35061, 35059])).
% 14.68/10.47 tff(35063,plain,
% 14.68/10.47 (until5(s321)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28222, 35062])).
% 14.68/10.47 tff(35064,plain,
% 14.68/10.47 (~node4(s321)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28226, 36, 35015])).
% 14.68/10.47 tff(35065,plain,
% 14.68/10.47 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28233, 294, 35064])).
% 14.68/10.47 tff(35066,plain,
% 14.68/10.47 (xuntil6(s321)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35065, 35063])).
% 14.68/10.47 tff(35067,plain,
% 14.68/10.47 ($false),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28239, 35066, 35014])).
% 14.68/10.47 tff(35068,plain,(always3(s332) | (~until5(s311)) | xuntil6(s332)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.47 tff(35069,plain,
% 14.68/10.47 (always3(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35068, 34705, 34960])).
% 14.68/10.47 tff(35070,plain,
% 14.68/10.47 (always3(s333)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27714, 35069])).
% 14.68/10.47 tff(35071,plain,
% 14.68/10.47 (~m_main_v_state(s333, c_busy)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34956, 85, 35070])).
% 14.68/10.47 tff(35072,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s332)) | (~m_main_v_state(s332, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s332)) | (~m_main_v_state(s332, c_busy)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35073,plain,
% 14.68/10.47 (((~m_main_v_state(s332, c_busy)) | (~always3(s332))) <=> ((~always3(s332)) | (~m_main_v_state(s332, c_busy)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35074,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s332, c_busy)) | (~always3(s332)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s332)) | (~m_main_v_state(s332, c_busy))))),
% 14.68/10.47 inference(monotonicity,[status(thm)],[35073])).
% 14.68/10.47 tff(35075,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s332, c_busy)) | (~always3(s332)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s332)) | (~m_main_v_state(s332, c_busy)))),
% 14.68/10.47 inference(transitivity,[status(thm)],[35074, 35072])).
% 14.68/10.47 tff(35076,plain,
% 14.68/10.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s332, c_busy)) | (~always3(s332)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35077,plain,
% 14.68/10.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s332)) | (~m_main_v_state(s332, c_busy))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35076, 35075])).
% 14.68/10.47 tff(35078,plain,
% 14.68/10.47 (~m_main_v_state(s332, c_busy)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35077, 85, 35069])).
% 14.68/10.47 tff(35079,assumption,(~m_main_v_state(s332, c_busy)), introduced(assumption)).
% 14.68/10.47 tff(35080,assumption,(node1(s331)), introduced(assumption)).
% 14.68/10.47 tff(35081,plain,
% 14.68/10.47 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s331, c_ready) | (~node1(s331)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s331, c_ready) | (~node1(s331)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35082,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s331, c_ready) | (~node1(s331)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35083,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s331, c_ready) | (~node1(s331))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35082, 35081])).
% 14.68/10.47 tff(35084,plain,
% 14.68/10.47 (m_main_v_state(s331, c_ready)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35083, 3581, 35080])).
% 14.68/10.47 tff(35085,plain,
% 14.68/10.47 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s331) | (~node1(s331)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s331) | (~node1(s331)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35086,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s331) | (~node1(s331)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35087,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s331) | (~node1(s331))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35086, 35085])).
% 14.68/10.47 tff(35088,plain,
% 14.68/10.47 (m_main_v_request(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35087, 3568, 35080])).
% 14.68/10.47 tff(35089,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s331, s332)) | node2(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s331, s332)) | node2(s331, s332))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35090,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s331, s332)) | node2(s331, s332))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35091,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s331, s332)) | node2(s331, s332)),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35090, 35089])).
% 14.68/10.47 tff(35092,plain,
% 14.68/10.47 (node2(s331, s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35091, 7, 27722])).
% 14.68/10.47 tff(35093,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s331, c_ready)) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s331, c_ready)) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35094,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s331, c_ready)) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35095,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s331, c_ready)) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35094, 35093])).
% 14.68/10.47 tff(35096,plain,
% 14.68/10.47 ((~m_main_v_state(s331, c_ready)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35095, 73, 35092])).
% 14.68/10.47 tff(35097,plain,
% 14.68/10.47 ($false),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35096, 35088, 35084, 35079])).
% 14.68/10.47 tff(35098,plain,((~node1(s331)) | m_main_v_state(s332, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.47 tff(35099,plain,
% 14.68/10.47 (~node1(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35098, 35078])).
% 14.68/10.47 tff(35100,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s331, s332)) | m_main_v_state(s332, c_busy) | node1(s331) | m_main_v_state(s332, 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(s331, s332)) | m_main_v_state(s332, c_busy) | node1(s331) | m_main_v_state(s332, c_ready))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35101,plain,
% 14.68/10.47 ((node1(s331) | m_main_v_state(s332, c_ready) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy)) <=> ((~node2(s331, s332)) | m_main_v_state(s332, c_busy) | node1(s331) | m_main_v_state(s332, c_ready))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35102,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s331) | m_main_v_state(s332, c_ready) | (~node2(s331, s332)) | m_main_v_state(s332, 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(s331, s332)) | m_main_v_state(s332, c_busy) | node1(s331) | m_main_v_state(s332, c_ready)))),
% 14.68/10.47 inference(monotonicity,[status(thm)],[35101])).
% 14.68/10.47 tff(35103,plain,
% 14.68/10.47 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s331) | m_main_v_state(s332, c_ready) | (~node2(s331, s332)) | m_main_v_state(s332, 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(s331, s332)) | m_main_v_state(s332, c_busy) | node1(s331) | m_main_v_state(s332, c_ready))),
% 14.68/10.47 inference(transitivity,[status(thm)],[35102, 35100])).
% 14.68/10.47 tff(35104,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s331) | m_main_v_state(s332, c_ready) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35105,plain,
% 14.68/10.47 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | node1(s331) | m_main_v_state(s332, c_ready)),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35104, 35103])).
% 14.68/10.47 tff(35106,plain,
% 14.68/10.47 (m_main_v_state(s332, c_busy) | node1(s331) | m_main_v_state(s332, c_ready)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35105, 3551, 35092])).
% 14.68/10.47 tff(35107,plain,
% 14.68/10.47 (m_main_v_state(s332, c_ready)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35106, 35078, 35099])).
% 14.68/10.47 tff(35108,plain,
% 14.68/10.47 (~m_main_v_request(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34936, 35107, 35071])).
% 14.68/10.47 tff(35109,plain,
% 14.68/10.47 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s332) | (~node4(s332)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s332) | (~node4(s332)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35110,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s332) | (~node4(s332)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35111,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s332) | (~node4(s332))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35110, 35109])).
% 14.68/10.47 tff(35112,plain,
% 14.68/10.47 (~node4(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35111, 21, 35108])).
% 14.68/10.47 tff(35113,plain,
% 14.68/10.47 (node4(s332) | (~until5(s332))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28420, 294, 34960])).
% 14.68/10.47 tff(35114,plain,
% 14.68/10.47 (~until5(s332)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35113, 35112])).
% 14.68/10.47 tff(35115,plain,
% 14.68/10.47 (~xuntil6(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28409, 35114])).
% 14.68/10.47 tff(35116,assumption,(~always3(s331)), introduced(assumption)).
% 14.68/10.47 tff(35117,plain,
% 14.68/10.47 (~always3(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27738, 35116])).
% 14.68/10.47 tff(35118,plain,
% 14.68/10.47 (~always3(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27750, 35117])).
% 14.68/10.47 tff(35119,plain,
% 14.68/10.47 (~always3(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27762, 35118])).
% 14.68/10.47 tff(35120,plain,
% 14.68/10.47 (~always3(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27774, 35119])).
% 14.68/10.47 tff(35121,plain,
% 14.68/10.47 (~always3(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27786, 35120])).
% 14.68/10.47 tff(35122,plain,
% 14.68/10.47 (~always3(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27798, 35121])).
% 14.68/10.47 tff(35123,plain,
% 14.68/10.47 (~always3(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27810, 35122])).
% 14.68/10.47 tff(35124,plain,
% 14.68/10.47 (~always3(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27822, 35123])).
% 14.68/10.47 tff(35125,plain,
% 14.68/10.47 (~always3(s322)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27834, 35124])).
% 14.68/10.47 tff(35126,plain,
% 14.68/10.47 (~always3(s321)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27846, 35125])).
% 14.68/10.47 tff(35127,plain,
% 14.68/10.47 (~always3(s320)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27858, 35126])).
% 14.68/10.47 tff(35128,plain,
% 14.68/10.47 (~always3(s319)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27870, 35127])).
% 14.68/10.47 tff(35129,plain,
% 14.68/10.47 (~always3(s318)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27882, 35128])).
% 14.68/10.47 tff(35130,plain,
% 14.68/10.47 (~always3(s317)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27894, 35129])).
% 14.68/10.47 tff(35131,plain,
% 14.68/10.47 (~always3(s316)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27906, 35130])).
% 14.68/10.47 tff(35132,plain,
% 14.68/10.47 (~always3(s315)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27918, 35131])).
% 14.68/10.47 tff(35133,plain,
% 14.68/10.47 (~always3(s314)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27930, 35132])).
% 14.68/10.47 tff(35134,plain,
% 14.68/10.47 (~always3(s313)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27942, 35133])).
% 14.68/10.47 tff(35135,plain,
% 14.68/10.47 (~always3(s312)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27954, 35134])).
% 14.68/10.47 tff(35136,plain,
% 14.68/10.47 (~node4(s312)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28073, 36, 35135])).
% 14.68/10.47 tff(35137,plain,
% 14.68/10.47 (~always3(s311)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27966, 35135])).
% 14.68/10.47 tff(35138,plain,
% 14.68/10.47 (~node4(s311)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28056, 36, 35137])).
% 14.68/10.47 tff(35139,plain,
% 14.68/10.47 (xuntil6(s311)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[34734, 35138])).
% 14.68/10.47 tff(35140,plain,
% 14.68/10.47 (until5(s312)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28069, 35139])).
% 14.68/10.47 tff(35141,plain,
% 14.68/10.47 (xuntil6(s312)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28080, 294, 35140, 35136])).
% 14.68/10.47 tff(35142,plain,
% 14.68/10.47 (until5(s313)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28086, 35141])).
% 14.68/10.47 tff(35143,plain,
% 14.68/10.47 (~node4(s313)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28090, 36, 35134])).
% 14.68/10.47 tff(35144,plain,
% 14.68/10.47 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28097, 294, 35143])).
% 14.68/10.47 tff(35145,plain,
% 14.68/10.47 (xuntil6(s313)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35144, 35142])).
% 14.68/10.47 tff(35146,plain,
% 14.68/10.47 (until5(s314)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28103, 35145])).
% 14.68/10.47 tff(35147,plain,
% 14.68/10.47 (~node4(s314)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28107, 36, 35133])).
% 14.68/10.47 tff(35148,plain,
% 14.68/10.47 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28114, 294, 35147])).
% 14.68/10.47 tff(35149,plain,
% 14.68/10.47 (xuntil6(s314)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35148, 35146])).
% 14.68/10.47 tff(35150,plain,
% 14.68/10.47 (until5(s315)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28120, 35149])).
% 14.68/10.47 tff(35151,plain,
% 14.68/10.47 (~node4(s315)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28124, 36, 35132])).
% 14.68/10.47 tff(35152,plain,
% 14.68/10.47 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28131, 294, 35151])).
% 14.68/10.47 tff(35153,plain,
% 14.68/10.47 (xuntil6(s315)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35152, 35150])).
% 14.68/10.47 tff(35154,plain,
% 14.68/10.47 (until5(s316)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28137, 35153])).
% 14.68/10.47 tff(35155,plain,
% 14.68/10.47 (~node4(s316)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28141, 36, 35131])).
% 14.68/10.47 tff(35156,plain,
% 14.68/10.47 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28148, 294, 35155])).
% 14.68/10.47 tff(35157,plain,
% 14.68/10.47 (xuntil6(s316)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35156, 35154])).
% 14.68/10.47 tff(35158,plain,
% 14.68/10.47 (until5(s317)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28154, 35157])).
% 14.68/10.47 tff(35159,plain,
% 14.68/10.47 (~node4(s317)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28158, 36, 35130])).
% 14.68/10.47 tff(35160,plain,
% 14.68/10.47 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28165, 294, 35159])).
% 14.68/10.47 tff(35161,plain,
% 14.68/10.47 (xuntil6(s317)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35160, 35158])).
% 14.68/10.47 tff(35162,plain,
% 14.68/10.47 (until5(s318)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28171, 35161])).
% 14.68/10.47 tff(35163,plain,
% 14.68/10.47 (~node4(s318)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28175, 36, 35129])).
% 14.68/10.47 tff(35164,plain,
% 14.68/10.47 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28182, 294, 35163])).
% 14.68/10.47 tff(35165,plain,
% 14.68/10.47 (xuntil6(s318)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35164, 35162])).
% 14.68/10.47 tff(35166,plain,
% 14.68/10.47 (until5(s319)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28188, 35165])).
% 14.68/10.47 tff(35167,plain,
% 14.68/10.47 (~node4(s319)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28192, 36, 35128])).
% 14.68/10.47 tff(35168,plain,
% 14.68/10.47 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28199, 294, 35167])).
% 14.68/10.47 tff(35169,plain,
% 14.68/10.47 (xuntil6(s319)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35168, 35166])).
% 14.68/10.47 tff(35170,plain,
% 14.68/10.47 (until5(s320)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28205, 35169])).
% 14.68/10.47 tff(35171,plain,
% 14.68/10.47 (~node4(s320)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28209, 36, 35127])).
% 14.68/10.47 tff(35172,plain,
% 14.68/10.47 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28216, 294, 35171])).
% 14.68/10.47 tff(35173,plain,
% 14.68/10.47 (xuntil6(s320)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35172, 35170])).
% 14.68/10.47 tff(35174,plain,
% 14.68/10.47 (until5(s321)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28222, 35173])).
% 14.68/10.47 tff(35175,plain,
% 14.68/10.47 (~node4(s321)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28226, 36, 35126])).
% 14.68/10.47 tff(35176,plain,
% 14.68/10.47 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28233, 294, 35175])).
% 14.68/10.47 tff(35177,plain,
% 14.68/10.47 (xuntil6(s321)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35176, 35174])).
% 14.68/10.47 tff(35178,plain,
% 14.68/10.47 (until5(s322)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28239, 35177])).
% 14.68/10.47 tff(35179,plain,
% 14.68/10.47 (~node4(s322)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28243, 36, 35125])).
% 14.68/10.47 tff(35180,plain,
% 14.68/10.47 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28250, 294, 35179])).
% 14.68/10.47 tff(35181,plain,
% 14.68/10.47 (xuntil6(s322)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35180, 35178])).
% 14.68/10.47 tff(35182,plain,
% 14.68/10.47 (until5(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28256, 35181])).
% 14.68/10.47 tff(35183,plain,
% 14.68/10.47 (~node4(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28260, 36, 35124])).
% 14.68/10.47 tff(35184,plain,
% 14.68/10.47 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28267, 294, 35183])).
% 14.68/10.47 tff(35185,plain,
% 14.68/10.47 (xuntil6(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35184, 35182])).
% 14.68/10.47 tff(35186,plain,
% 14.68/10.47 (until5(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28273, 35185])).
% 14.68/10.47 tff(35187,plain,
% 14.68/10.47 (~node4(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28277, 36, 35123])).
% 14.68/10.47 tff(35188,plain,
% 14.68/10.47 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28284, 294, 35187])).
% 14.68/10.47 tff(35189,plain,
% 14.68/10.47 (xuntil6(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35188, 35186])).
% 14.68/10.47 tff(35190,plain,
% 14.68/10.47 (until5(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28290, 35189])).
% 14.68/10.47 tff(35191,plain,
% 14.68/10.47 (~node4(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28294, 36, 35122])).
% 14.68/10.47 tff(35192,plain,
% 14.68/10.47 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28301, 294, 35191])).
% 14.68/10.47 tff(35193,plain,
% 14.68/10.47 (xuntil6(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35192, 35190])).
% 14.68/10.47 tff(35194,plain,
% 14.68/10.47 (until5(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28307, 35193])).
% 14.68/10.47 tff(35195,plain,
% 14.68/10.47 (~node4(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28311, 36, 35121])).
% 14.68/10.47 tff(35196,plain,
% 14.68/10.47 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28318, 294, 35195])).
% 14.68/10.47 tff(35197,plain,
% 14.68/10.47 (xuntil6(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35196, 35194])).
% 14.68/10.47 tff(35198,plain,
% 14.68/10.47 (until5(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28324, 35197])).
% 14.68/10.47 tff(35199,plain,
% 14.68/10.47 (~node4(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28328, 36, 35120])).
% 14.68/10.47 tff(35200,plain,
% 14.68/10.47 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28335, 294, 35199])).
% 14.68/10.47 tff(35201,plain,
% 14.68/10.47 (xuntil6(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35200, 35198])).
% 14.68/10.47 tff(35202,plain,
% 14.68/10.47 (until5(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28341, 35201])).
% 14.68/10.47 tff(35203,plain,
% 14.68/10.47 (~node4(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28345, 36, 35119])).
% 14.68/10.47 tff(35204,plain,
% 14.68/10.47 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28352, 294, 35203])).
% 14.68/10.47 tff(35205,plain,
% 14.68/10.47 (xuntil6(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35204, 35202])).
% 14.68/10.47 tff(35206,plain,
% 14.68/10.47 (until5(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28358, 35205])).
% 14.68/10.47 tff(35207,plain,
% 14.68/10.47 (~node4(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28362, 36, 35118])).
% 14.68/10.47 tff(35208,plain,
% 14.68/10.47 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28369, 294, 35207])).
% 14.68/10.47 tff(35209,plain,
% 14.68/10.47 (xuntil6(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35208, 35206])).
% 14.68/10.47 tff(35210,plain,
% 14.68/10.47 (until5(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28375, 35209])).
% 14.68/10.47 tff(35211,plain,
% 14.68/10.47 (~node4(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28379, 36, 35117])).
% 14.68/10.47 tff(35212,plain,
% 14.68/10.47 (xuntil6(s330) | (~until5(s330))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28386, 294, 35211])).
% 14.68/10.47 tff(35213,plain,
% 14.68/10.47 (xuntil6(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35212, 35210])).
% 14.68/10.47 tff(35214,plain,
% 14.68/10.47 (until5(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28392, 35213])).
% 14.68/10.47 tff(35215,assumption,(~xuntil6(s331)), introduced(assumption)).
% 14.68/10.47 tff(35216,plain,
% 14.68/10.47 (node4(s331) | (~until5(s331))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28403, 294, 35215])).
% 14.68/10.47 tff(35217,plain,
% 14.68/10.47 (node4(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35216, 35214])).
% 14.68/10.47 tff(35218,plain,
% 14.68/10.47 ($false),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28396, 36, 35116, 35217])).
% 14.68/10.47 tff(35219,plain,(always3(s331) | xuntil6(s331) | (~until5(s311))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.47 tff(35220,plain,
% 14.68/10.47 (always3(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35219, 35115, 34705])).
% 14.68/10.47 tff(35221,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s331)) | (~m_main_v_state(s331, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s331)) | (~m_main_v_state(s331, c_busy)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35222,plain,
% 14.68/10.47 (((~m_main_v_state(s331, c_busy)) | (~always3(s331))) <=> ((~always3(s331)) | (~m_main_v_state(s331, c_busy)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35223,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s331, c_busy)) | (~always3(s331)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s331)) | (~m_main_v_state(s331, c_busy))))),
% 14.68/10.47 inference(monotonicity,[status(thm)],[35222])).
% 14.68/10.47 tff(35224,plain,
% 14.68/10.47 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s331, c_busy)) | (~always3(s331)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s331)) | (~m_main_v_state(s331, c_busy)))),
% 14.68/10.47 inference(transitivity,[status(thm)],[35223, 35221])).
% 14.68/10.47 tff(35225,plain,
% 14.68/10.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s331, c_busy)) | (~always3(s331)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35226,plain,
% 14.68/10.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s331)) | (~m_main_v_state(s331, c_busy))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35225, 35224])).
% 14.68/10.47 tff(35227,plain,
% 14.68/10.47 (~m_main_v_state(s331, c_busy)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35226, 85, 35220])).
% 14.68/10.47 tff(35228,plain,
% 14.68/10.47 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s331, c_busy) | m_main_v_state(s331, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s331, c_busy) | m_main_v_state(s331, c_ready))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35229,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s331, c_busy) | m_main_v_state(s331, c_ready))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35230,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s331, c_busy) | m_main_v_state(s331, c_ready)),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35229, 35228])).
% 14.68/10.47 tff(35231,plain,
% 14.68/10.47 (m_main_v_state(s331, c_ready)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35230, 102, 35227])).
% 14.68/10.47 tff(35232,plain,
% 14.68/10.47 (~m_main_v_request(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35096, 35231, 35078])).
% 14.68/10.47 tff(35233,plain,
% 14.68/10.47 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s331) | (~node4(s331)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s331) | (~node4(s331)))),
% 14.68/10.47 inference(rewrite,[status(thm)],[])).
% 14.68/10.47 tff(35234,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s331) | (~node4(s331)))),
% 14.68/10.47 inference(quant_inst,[status(thm)],[])).
% 14.68/10.47 tff(35235,plain,
% 14.68/10.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s331) | (~node4(s331))),
% 14.68/10.47 inference(modus_ponens,[status(thm)],[35234, 35233])).
% 14.68/10.47 tff(35236,plain,
% 14.68/10.47 (~node4(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35235, 21, 35232])).
% 14.68/10.47 tff(35237,plain,
% 14.68/10.47 (node4(s331) | (~until5(s331))),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28403, 294, 35115])).
% 14.68/10.47 tff(35238,plain,
% 14.68/10.47 (~until5(s331)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[35237, 35236])).
% 14.68/10.47 tff(35239,plain,
% 14.68/10.47 (~xuntil6(s330)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[28392, 35238])).
% 14.68/10.47 tff(35240,assumption,(~always3(s330)), introduced(assumption)).
% 14.68/10.47 tff(35241,plain,
% 14.68/10.47 (~always3(s329)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27750, 35240])).
% 14.68/10.47 tff(35242,plain,
% 14.68/10.47 (~always3(s328)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27762, 35241])).
% 14.68/10.47 tff(35243,plain,
% 14.68/10.47 (~always3(s327)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27774, 35242])).
% 14.68/10.47 tff(35244,plain,
% 14.68/10.47 (~always3(s326)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27786, 35243])).
% 14.68/10.47 tff(35245,plain,
% 14.68/10.47 (~always3(s325)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27798, 35244])).
% 14.68/10.47 tff(35246,plain,
% 14.68/10.47 (~always3(s324)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27810, 35245])).
% 14.68/10.47 tff(35247,plain,
% 14.68/10.47 (~always3(s323)),
% 14.68/10.47 inference(unit_resolution,[status(thm)],[27822, 35246])).
% 14.68/10.47 tff(35248,plain,
% 14.68/10.48 (~always3(s322)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27834, 35247])).
% 14.68/10.48 tff(35249,plain,
% 14.68/10.48 (~always3(s321)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27846, 35248])).
% 14.68/10.48 tff(35250,plain,
% 14.68/10.48 (~always3(s320)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27858, 35249])).
% 14.68/10.48 tff(35251,plain,
% 14.68/10.48 (~always3(s319)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27870, 35250])).
% 14.68/10.48 tff(35252,plain,
% 14.68/10.48 (~always3(s318)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27882, 35251])).
% 14.68/10.48 tff(35253,plain,
% 14.68/10.48 (~always3(s317)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27894, 35252])).
% 14.68/10.48 tff(35254,plain,
% 14.68/10.48 (~always3(s316)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27906, 35253])).
% 14.68/10.48 tff(35255,plain,
% 14.68/10.48 (~always3(s315)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27918, 35254])).
% 14.68/10.48 tff(35256,plain,
% 14.68/10.48 (~always3(s314)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27930, 35255])).
% 14.68/10.48 tff(35257,plain,
% 14.68/10.48 (~always3(s313)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27942, 35256])).
% 14.68/10.48 tff(35258,plain,
% 14.68/10.48 (~always3(s312)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27954, 35257])).
% 14.68/10.48 tff(35259,plain,
% 14.68/10.48 (~node4(s312)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28073, 36, 35258])).
% 14.68/10.48 tff(35260,plain,
% 14.68/10.48 (~always3(s311)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27966, 35258])).
% 14.68/10.48 tff(35261,plain,
% 14.68/10.48 (~node4(s311)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28056, 36, 35260])).
% 14.68/10.48 tff(35262,plain,
% 14.68/10.48 (xuntil6(s311)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[34734, 35261])).
% 14.68/10.48 tff(35263,plain,
% 14.68/10.48 (until5(s312)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28069, 35262])).
% 14.68/10.48 tff(35264,plain,
% 14.68/10.48 (xuntil6(s312)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28080, 294, 35263, 35259])).
% 14.68/10.48 tff(35265,plain,
% 14.68/10.48 (until5(s313)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28086, 35264])).
% 14.68/10.48 tff(35266,plain,
% 14.68/10.48 (~node4(s313)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28090, 36, 35257])).
% 14.68/10.48 tff(35267,plain,
% 14.68/10.48 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28097, 294, 35266])).
% 14.68/10.48 tff(35268,plain,
% 14.68/10.48 (xuntil6(s313)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35267, 35265])).
% 14.68/10.48 tff(35269,plain,
% 14.68/10.48 (until5(s314)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28103, 35268])).
% 14.68/10.48 tff(35270,plain,
% 14.68/10.48 (~node4(s314)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28107, 36, 35256])).
% 14.68/10.48 tff(35271,plain,
% 14.68/10.48 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28114, 294, 35270])).
% 14.68/10.48 tff(35272,plain,
% 14.68/10.48 (xuntil6(s314)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35271, 35269])).
% 14.68/10.48 tff(35273,plain,
% 14.68/10.48 (until5(s315)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28120, 35272])).
% 14.68/10.48 tff(35274,plain,
% 14.68/10.48 (~node4(s315)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28124, 36, 35255])).
% 14.68/10.48 tff(35275,plain,
% 14.68/10.48 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28131, 294, 35274])).
% 14.68/10.48 tff(35276,plain,
% 14.68/10.48 (xuntil6(s315)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35275, 35273])).
% 14.68/10.48 tff(35277,plain,
% 14.68/10.48 (until5(s316)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28137, 35276])).
% 14.68/10.48 tff(35278,plain,
% 14.68/10.48 (~node4(s316)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28141, 36, 35254])).
% 14.68/10.48 tff(35279,plain,
% 14.68/10.48 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28148, 294, 35278])).
% 14.68/10.48 tff(35280,plain,
% 14.68/10.48 (xuntil6(s316)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35279, 35277])).
% 14.68/10.48 tff(35281,plain,
% 14.68/10.48 (until5(s317)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28154, 35280])).
% 14.68/10.48 tff(35282,plain,
% 14.68/10.48 (~node4(s317)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28158, 36, 35253])).
% 14.68/10.48 tff(35283,plain,
% 14.68/10.48 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28165, 294, 35282])).
% 14.68/10.48 tff(35284,plain,
% 14.68/10.48 (xuntil6(s317)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35283, 35281])).
% 14.68/10.48 tff(35285,plain,
% 14.68/10.48 (until5(s318)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28171, 35284])).
% 14.68/10.48 tff(35286,plain,
% 14.68/10.48 (~node4(s318)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28175, 36, 35252])).
% 14.68/10.48 tff(35287,plain,
% 14.68/10.48 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28182, 294, 35286])).
% 14.68/10.48 tff(35288,plain,
% 14.68/10.48 (xuntil6(s318)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35287, 35285])).
% 14.68/10.48 tff(35289,plain,
% 14.68/10.48 (until5(s319)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28188, 35288])).
% 14.68/10.48 tff(35290,plain,
% 14.68/10.48 (~node4(s319)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28192, 36, 35251])).
% 14.68/10.48 tff(35291,plain,
% 14.68/10.48 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28199, 294, 35290])).
% 14.68/10.48 tff(35292,plain,
% 14.68/10.48 (xuntil6(s319)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35291, 35289])).
% 14.68/10.48 tff(35293,plain,
% 14.68/10.48 (until5(s320)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28205, 35292])).
% 14.68/10.48 tff(35294,plain,
% 14.68/10.48 (~node4(s320)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28209, 36, 35250])).
% 14.68/10.48 tff(35295,plain,
% 14.68/10.48 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28216, 294, 35294])).
% 14.68/10.48 tff(35296,plain,
% 14.68/10.48 (xuntil6(s320)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35295, 35293])).
% 14.68/10.48 tff(35297,plain,
% 14.68/10.48 (until5(s321)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28222, 35296])).
% 14.68/10.48 tff(35298,plain,
% 14.68/10.48 (~node4(s321)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28226, 36, 35249])).
% 14.68/10.48 tff(35299,plain,
% 14.68/10.48 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28233, 294, 35298])).
% 14.68/10.48 tff(35300,plain,
% 14.68/10.48 (xuntil6(s321)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35299, 35297])).
% 14.68/10.48 tff(35301,plain,
% 14.68/10.48 (until5(s322)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28239, 35300])).
% 14.68/10.48 tff(35302,plain,
% 14.68/10.48 (~node4(s322)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28243, 36, 35248])).
% 14.68/10.48 tff(35303,plain,
% 14.68/10.48 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28250, 294, 35302])).
% 14.68/10.48 tff(35304,plain,
% 14.68/10.48 (xuntil6(s322)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35303, 35301])).
% 14.68/10.48 tff(35305,plain,
% 14.68/10.48 (until5(s323)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28256, 35304])).
% 14.68/10.48 tff(35306,plain,
% 14.68/10.48 (~node4(s323)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28260, 36, 35247])).
% 14.68/10.48 tff(35307,plain,
% 14.68/10.48 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28267, 294, 35306])).
% 14.68/10.48 tff(35308,plain,
% 14.68/10.48 (xuntil6(s323)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35307, 35305])).
% 14.68/10.48 tff(35309,plain,
% 14.68/10.48 (until5(s324)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28273, 35308])).
% 14.68/10.48 tff(35310,plain,
% 14.68/10.48 (~node4(s324)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28277, 36, 35246])).
% 14.68/10.48 tff(35311,plain,
% 14.68/10.48 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28284, 294, 35310])).
% 14.68/10.48 tff(35312,plain,
% 14.68/10.48 (xuntil6(s324)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35311, 35309])).
% 14.68/10.48 tff(35313,plain,
% 14.68/10.48 (until5(s325)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28290, 35312])).
% 14.68/10.48 tff(35314,plain,
% 14.68/10.48 (~node4(s325)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28294, 36, 35245])).
% 14.68/10.48 tff(35315,plain,
% 14.68/10.48 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28301, 294, 35314])).
% 14.68/10.48 tff(35316,plain,
% 14.68/10.48 (xuntil6(s325)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35315, 35313])).
% 14.68/10.48 tff(35317,plain,
% 14.68/10.48 (until5(s326)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28307, 35316])).
% 14.68/10.48 tff(35318,plain,
% 14.68/10.48 (~node4(s326)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28311, 36, 35244])).
% 14.68/10.48 tff(35319,plain,
% 14.68/10.48 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28318, 294, 35318])).
% 14.68/10.48 tff(35320,plain,
% 14.68/10.48 (xuntil6(s326)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35319, 35317])).
% 14.68/10.48 tff(35321,plain,
% 14.68/10.48 (until5(s327)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28324, 35320])).
% 14.68/10.48 tff(35322,plain,
% 14.68/10.48 (~node4(s327)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28328, 36, 35243])).
% 14.68/10.48 tff(35323,plain,
% 14.68/10.48 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28335, 294, 35322])).
% 14.68/10.48 tff(35324,plain,
% 14.68/10.48 (xuntil6(s327)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35323, 35321])).
% 14.68/10.48 tff(35325,plain,
% 14.68/10.48 (until5(s328)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28341, 35324])).
% 14.68/10.48 tff(35326,plain,
% 14.68/10.48 (~node4(s328)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28345, 36, 35242])).
% 14.68/10.48 tff(35327,plain,
% 14.68/10.48 (xuntil6(s328) | (~until5(s328))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28352, 294, 35326])).
% 14.68/10.48 tff(35328,plain,
% 14.68/10.48 (xuntil6(s328)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35327, 35325])).
% 14.68/10.48 tff(35329,plain,
% 14.68/10.48 (until5(s329)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28358, 35328])).
% 14.68/10.48 tff(35330,plain,
% 14.68/10.48 (~node4(s329)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28362, 36, 35241])).
% 14.68/10.48 tff(35331,plain,
% 14.68/10.48 (xuntil6(s329) | (~until5(s329))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28369, 294, 35330])).
% 14.68/10.48 tff(35332,plain,
% 14.68/10.48 (xuntil6(s329)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35331, 35329])).
% 14.68/10.48 tff(35333,plain,
% 14.68/10.48 (until5(s330)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28375, 35332])).
% 14.68/10.48 tff(35334,assumption,(~xuntil6(s330)), introduced(assumption)).
% 14.68/10.48 tff(35335,plain,
% 14.68/10.48 (node4(s330) | (~until5(s330))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28386, 294, 35334])).
% 14.68/10.48 tff(35336,plain,
% 14.68/10.48 (node4(s330)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35335, 35333])).
% 14.68/10.48 tff(35337,plain,
% 14.68/10.48 ($false),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28379, 36, 35240, 35336])).
% 14.68/10.48 tff(35338,plain,(always3(s330) | xuntil6(s330) | (~until5(s311))), inference(lemma,lemma(discharge,[]))).
% 14.68/10.48 tff(35339,plain,
% 14.68/10.48 (always3(s330)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35338, 35239, 34705])).
% 14.68/10.48 tff(35340,plain,
% 14.68/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s330)) | (~m_main_v_state(s330, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s330)) | (~m_main_v_state(s330, c_busy)))),
% 14.68/10.48 inference(rewrite,[status(thm)],[])).
% 14.68/10.48 tff(35341,plain,
% 14.68/10.48 (((~m_main_v_state(s330, c_busy)) | (~always3(s330))) <=> ((~always3(s330)) | (~m_main_v_state(s330, c_busy)))),
% 14.68/10.48 inference(rewrite,[status(thm)],[])).
% 14.68/10.48 tff(35342,plain,
% 14.68/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s330, c_busy)) | (~always3(s330)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s330)) | (~m_main_v_state(s330, c_busy))))),
% 14.68/10.48 inference(monotonicity,[status(thm)],[35341])).
% 14.68/10.48 tff(35343,plain,
% 14.68/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s330, c_busy)) | (~always3(s330)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s330)) | (~m_main_v_state(s330, c_busy)))),
% 14.68/10.48 inference(transitivity,[status(thm)],[35342, 35340])).
% 14.68/10.48 tff(35344,plain,
% 14.68/10.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s330, c_busy)) | (~always3(s330)))),
% 14.68/10.48 inference(quant_inst,[status(thm)],[])).
% 14.68/10.48 tff(35345,plain,
% 14.68/10.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s330)) | (~m_main_v_state(s330, c_busy))),
% 14.68/10.48 inference(modus_ponens,[status(thm)],[35344, 35343])).
% 14.68/10.48 tff(35346,plain,
% 14.68/10.48 (~m_main_v_state(s330, c_busy)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35345, 85, 35339])).
% 14.68/10.48 tff(35347,assumption,(~m_main_v_state(s330, c_ready)), introduced(assumption)).
% 14.68/10.48 tff(35348,assumption,(~m_main_v_state(s330, c_busy)), introduced(assumption)).
% 14.68/10.48 tff(35349,plain,
% 14.68/10.48 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s330, c_busy) | m_main_v_state(s330, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s330, c_busy) | m_main_v_state(s330, c_ready))),
% 14.68/10.48 inference(rewrite,[status(thm)],[])).
% 14.68/10.48 tff(35350,plain,
% 14.68/10.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s330, c_busy) | m_main_v_state(s330, c_ready))),
% 14.68/10.48 inference(quant_inst,[status(thm)],[])).
% 14.68/10.48 tff(35351,plain,
% 14.68/10.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s330, c_busy) | m_main_v_state(s330, c_ready)),
% 14.68/10.48 inference(modus_ponens,[status(thm)],[35350, 35349])).
% 14.68/10.48 tff(35352,plain,
% 14.68/10.48 ($false),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35351, 102, 35348, 35347])).
% 14.68/10.48 tff(35353,plain,(m_main_v_state(s330, c_ready) | m_main_v_state(s330, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.68/10.48 tff(35354,plain,
% 14.68/10.48 (m_main_v_state(s330, c_ready)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35353, 35346])).
% 14.68/10.48 tff(35355,plain,
% 14.68/10.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s330, s331)) | node2(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s330, s331)) | node2(s330, s331))),
% 14.68/10.48 inference(rewrite,[status(thm)],[])).
% 14.68/10.48 tff(35356,plain,
% 14.68/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s330, s331)) | node2(s330, s331))),
% 14.68/10.48 inference(quant_inst,[status(thm)],[])).
% 14.68/10.48 tff(35357,plain,
% 14.68/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s330, s331)) | node2(s330, s331)),
% 14.68/10.48 inference(modus_ponens,[status(thm)],[35356, 35355])).
% 14.68/10.48 tff(35358,plain,
% 14.68/10.48 (node2(s330, s331)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35357, 7, 27734])).
% 14.68/10.48 tff(35359,plain,
% 14.68/10.48 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s330, c_ready)) | (~node2(s330, s331)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s330, c_ready)) | (~node2(s330, s331)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330)))),
% 14.68/10.48 inference(rewrite,[status(thm)],[])).
% 14.68/10.48 tff(35360,plain,
% 14.68/10.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s330, c_ready)) | (~node2(s330, s331)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330)))),
% 14.68/10.48 inference(quant_inst,[status(thm)],[])).
% 14.68/10.48 tff(35361,plain,
% 14.68/10.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s330, c_ready)) | (~node2(s330, s331)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330))),
% 14.68/10.48 inference(modus_ponens,[status(thm)],[35360, 35359])).
% 14.68/10.48 tff(35362,plain,
% 14.68/10.48 ((~m_main_v_state(s330, c_ready)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35361, 73, 35358])).
% 14.68/10.48 tff(35363,plain,
% 14.68/10.48 (~m_main_v_request(s330)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35362, 35354, 35227])).
% 14.68/10.48 tff(35364,plain,
% 14.68/10.48 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s330) | (~node4(s330)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s330) | (~node4(s330)))),
% 14.68/10.48 inference(rewrite,[status(thm)],[])).
% 14.68/10.48 tff(35365,plain,
% 14.68/10.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s330) | (~node4(s330)))),
% 14.68/10.48 inference(quant_inst,[status(thm)],[])).
% 14.68/10.48 tff(35366,plain,
% 14.68/10.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s330) | (~node4(s330))),
% 14.68/10.48 inference(modus_ponens,[status(thm)],[35365, 35364])).
% 14.68/10.48 tff(35367,plain,
% 14.68/10.48 (~node4(s330)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35366, 21, 35363])).
% 14.68/10.48 tff(35368,plain,
% 14.68/10.48 (node4(s330) | (~until5(s330))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28386, 294, 35239])).
% 14.68/10.48 tff(35369,plain,
% 14.68/10.48 (~until5(s330)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35368, 35367])).
% 14.68/10.48 tff(35370,plain,
% 14.68/10.48 (~xuntil6(s329)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28375, 35369])).
% 14.68/10.48 tff(35371,assumption,(~always3(s329)), introduced(assumption)).
% 14.68/10.48 tff(35372,plain,
% 14.68/10.48 (~always3(s328)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27762, 35371])).
% 14.68/10.48 tff(35373,plain,
% 14.68/10.48 (~always3(s327)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27774, 35372])).
% 14.68/10.48 tff(35374,plain,
% 14.68/10.48 (~always3(s326)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27786, 35373])).
% 14.68/10.48 tff(35375,plain,
% 14.68/10.48 (~always3(s325)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27798, 35374])).
% 14.68/10.48 tff(35376,plain,
% 14.68/10.48 (~always3(s324)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27810, 35375])).
% 14.68/10.48 tff(35377,plain,
% 14.68/10.48 (~always3(s323)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27822, 35376])).
% 14.68/10.48 tff(35378,plain,
% 14.68/10.48 (~always3(s322)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27834, 35377])).
% 14.68/10.48 tff(35379,plain,
% 14.68/10.48 (~always3(s321)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27846, 35378])).
% 14.68/10.48 tff(35380,plain,
% 14.68/10.48 (~always3(s320)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27858, 35379])).
% 14.68/10.48 tff(35381,plain,
% 14.68/10.48 (~always3(s319)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27870, 35380])).
% 14.68/10.48 tff(35382,plain,
% 14.68/10.48 (~always3(s318)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27882, 35381])).
% 14.68/10.48 tff(35383,plain,
% 14.68/10.48 (~always3(s317)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27894, 35382])).
% 14.68/10.48 tff(35384,plain,
% 14.68/10.48 (~always3(s316)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27906, 35383])).
% 14.68/10.48 tff(35385,plain,
% 14.68/10.48 (~always3(s315)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27918, 35384])).
% 14.68/10.48 tff(35386,plain,
% 14.68/10.48 (~always3(s314)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27930, 35385])).
% 14.68/10.48 tff(35387,plain,
% 14.68/10.48 (~always3(s313)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27942, 35386])).
% 14.68/10.48 tff(35388,plain,
% 14.68/10.48 (~always3(s312)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27954, 35387])).
% 14.68/10.48 tff(35389,plain,
% 14.68/10.48 (~node4(s312)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28073, 36, 35388])).
% 14.68/10.48 tff(35390,plain,
% 14.68/10.48 (~always3(s311)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[27966, 35388])).
% 14.68/10.48 tff(35391,plain,
% 14.68/10.48 (~node4(s311)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28056, 36, 35390])).
% 14.68/10.48 tff(35392,plain,
% 14.68/10.48 (xuntil6(s311)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[34734, 35391])).
% 14.68/10.48 tff(35393,plain,
% 14.68/10.48 (until5(s312)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28069, 35392])).
% 14.68/10.48 tff(35394,plain,
% 14.68/10.48 (xuntil6(s312)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28080, 294, 35393, 35389])).
% 14.68/10.48 tff(35395,plain,
% 14.68/10.48 (until5(s313)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28086, 35394])).
% 14.68/10.48 tff(35396,plain,
% 14.68/10.48 (~node4(s313)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28090, 36, 35387])).
% 14.68/10.48 tff(35397,plain,
% 14.68/10.48 (xuntil6(s313) | (~until5(s313))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28097, 294, 35396])).
% 14.68/10.48 tff(35398,plain,
% 14.68/10.48 (xuntil6(s313)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35397, 35395])).
% 14.68/10.48 tff(35399,plain,
% 14.68/10.48 (until5(s314)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28103, 35398])).
% 14.68/10.48 tff(35400,plain,
% 14.68/10.48 (~node4(s314)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28107, 36, 35386])).
% 14.68/10.48 tff(35401,plain,
% 14.68/10.48 (xuntil6(s314) | (~until5(s314))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28114, 294, 35400])).
% 14.68/10.48 tff(35402,plain,
% 14.68/10.48 (xuntil6(s314)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35401, 35399])).
% 14.68/10.48 tff(35403,plain,
% 14.68/10.48 (until5(s315)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28120, 35402])).
% 14.68/10.48 tff(35404,plain,
% 14.68/10.48 (~node4(s315)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28124, 36, 35385])).
% 14.68/10.48 tff(35405,plain,
% 14.68/10.48 (xuntil6(s315) | (~until5(s315))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28131, 294, 35404])).
% 14.68/10.48 tff(35406,plain,
% 14.68/10.48 (xuntil6(s315)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35405, 35403])).
% 14.68/10.48 tff(35407,plain,
% 14.68/10.48 (until5(s316)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28137, 35406])).
% 14.68/10.48 tff(35408,plain,
% 14.68/10.48 (~node4(s316)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28141, 36, 35384])).
% 14.68/10.48 tff(35409,plain,
% 14.68/10.48 (xuntil6(s316) | (~until5(s316))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28148, 294, 35408])).
% 14.68/10.48 tff(35410,plain,
% 14.68/10.48 (xuntil6(s316)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35409, 35407])).
% 14.68/10.48 tff(35411,plain,
% 14.68/10.48 (until5(s317)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28154, 35410])).
% 14.68/10.48 tff(35412,plain,
% 14.68/10.48 (~node4(s317)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28158, 36, 35383])).
% 14.68/10.48 tff(35413,plain,
% 14.68/10.48 (xuntil6(s317) | (~until5(s317))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28165, 294, 35412])).
% 14.68/10.48 tff(35414,plain,
% 14.68/10.48 (xuntil6(s317)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35413, 35411])).
% 14.68/10.48 tff(35415,plain,
% 14.68/10.48 (until5(s318)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28171, 35414])).
% 14.68/10.48 tff(35416,plain,
% 14.68/10.48 (~node4(s318)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28175, 36, 35382])).
% 14.68/10.48 tff(35417,plain,
% 14.68/10.48 (xuntil6(s318) | (~until5(s318))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28182, 294, 35416])).
% 14.68/10.48 tff(35418,plain,
% 14.68/10.48 (xuntil6(s318)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35417, 35415])).
% 14.68/10.48 tff(35419,plain,
% 14.68/10.48 (until5(s319)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28188, 35418])).
% 14.68/10.48 tff(35420,plain,
% 14.68/10.48 (~node4(s319)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28192, 36, 35381])).
% 14.68/10.48 tff(35421,plain,
% 14.68/10.48 (xuntil6(s319) | (~until5(s319))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28199, 294, 35420])).
% 14.68/10.48 tff(35422,plain,
% 14.68/10.48 (xuntil6(s319)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35421, 35419])).
% 14.68/10.48 tff(35423,plain,
% 14.68/10.48 (until5(s320)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28205, 35422])).
% 14.68/10.48 tff(35424,plain,
% 14.68/10.48 (~node4(s320)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28209, 36, 35380])).
% 14.68/10.48 tff(35425,plain,
% 14.68/10.48 (xuntil6(s320) | (~until5(s320))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28216, 294, 35424])).
% 14.68/10.48 tff(35426,plain,
% 14.68/10.48 (xuntil6(s320)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35425, 35423])).
% 14.68/10.48 tff(35427,plain,
% 14.68/10.48 (until5(s321)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28222, 35426])).
% 14.68/10.48 tff(35428,plain,
% 14.68/10.48 (~node4(s321)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28226, 36, 35379])).
% 14.68/10.48 tff(35429,plain,
% 14.68/10.48 (xuntil6(s321) | (~until5(s321))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28233, 294, 35428])).
% 14.68/10.48 tff(35430,plain,
% 14.68/10.48 (xuntil6(s321)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35429, 35427])).
% 14.68/10.48 tff(35431,plain,
% 14.68/10.48 (until5(s322)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28239, 35430])).
% 14.68/10.48 tff(35432,plain,
% 14.68/10.48 (~node4(s322)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28243, 36, 35378])).
% 14.68/10.48 tff(35433,plain,
% 14.68/10.48 (xuntil6(s322) | (~until5(s322))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28250, 294, 35432])).
% 14.68/10.48 tff(35434,plain,
% 14.68/10.48 (xuntil6(s322)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35433, 35431])).
% 14.68/10.48 tff(35435,plain,
% 14.68/10.48 (until5(s323)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28256, 35434])).
% 14.68/10.48 tff(35436,plain,
% 14.68/10.48 (~node4(s323)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28260, 36, 35377])).
% 14.68/10.48 tff(35437,plain,
% 14.68/10.48 (xuntil6(s323) | (~until5(s323))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28267, 294, 35436])).
% 14.68/10.48 tff(35438,plain,
% 14.68/10.48 (xuntil6(s323)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35437, 35435])).
% 14.68/10.48 tff(35439,plain,
% 14.68/10.48 (until5(s324)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28273, 35438])).
% 14.68/10.48 tff(35440,plain,
% 14.68/10.48 (~node4(s324)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28277, 36, 35376])).
% 14.68/10.48 tff(35441,plain,
% 14.68/10.48 (xuntil6(s324) | (~until5(s324))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28284, 294, 35440])).
% 14.68/10.48 tff(35442,plain,
% 14.68/10.48 (xuntil6(s324)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35441, 35439])).
% 14.68/10.48 tff(35443,plain,
% 14.68/10.48 (until5(s325)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28290, 35442])).
% 14.68/10.48 tff(35444,plain,
% 14.68/10.48 (~node4(s325)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28294, 36, 35375])).
% 14.68/10.48 tff(35445,plain,
% 14.68/10.48 (xuntil6(s325) | (~until5(s325))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28301, 294, 35444])).
% 14.68/10.48 tff(35446,plain,
% 14.68/10.48 (xuntil6(s325)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35445, 35443])).
% 14.68/10.48 tff(35447,plain,
% 14.68/10.48 (until5(s326)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28307, 35446])).
% 14.68/10.48 tff(35448,plain,
% 14.68/10.48 (~node4(s326)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28311, 36, 35374])).
% 14.68/10.48 tff(35449,plain,
% 14.68/10.48 (xuntil6(s326) | (~until5(s326))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28318, 294, 35448])).
% 14.68/10.48 tff(35450,plain,
% 14.68/10.48 (xuntil6(s326)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35449, 35447])).
% 14.68/10.48 tff(35451,plain,
% 14.68/10.48 (until5(s327)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28324, 35450])).
% 14.68/10.48 tff(35452,plain,
% 14.68/10.48 (~node4(s327)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28328, 36, 35373])).
% 14.68/10.48 tff(35453,plain,
% 14.68/10.48 (xuntil6(s327) | (~until5(s327))),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28335, 294, 35452])).
% 14.68/10.48 tff(35454,plain,
% 14.68/10.48 (xuntil6(s327)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[35453, 35451])).
% 14.68/10.48 tff(35455,plain,
% 14.68/10.48 (until5(s328)),
% 14.68/10.48 inference(unit_resolution,[status(thm)],[28341, 35454])).
% 14.77/10.48 tff(35456,plain,
% 14.77/10.48 (~node4(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28345, 36, 35372])).
% 14.77/10.48 tff(35457,plain,
% 14.77/10.48 (xuntil6(s328) | (~until5(s328))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28352, 294, 35456])).
% 14.77/10.48 tff(35458,plain,
% 14.77/10.48 (xuntil6(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35457, 35455])).
% 14.77/10.48 tff(35459,plain,
% 14.77/10.48 (until5(s329)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28358, 35458])).
% 14.77/10.48 tff(35460,assumption,(~xuntil6(s329)), introduced(assumption)).
% 14.77/10.48 tff(35461,plain,
% 14.77/10.48 (node4(s329) | (~until5(s329))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28369, 294, 35460])).
% 14.77/10.48 tff(35462,plain,
% 14.77/10.48 (node4(s329)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35461, 35459])).
% 14.77/10.48 tff(35463,plain,
% 14.77/10.48 ($false),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28362, 36, 35371, 35462])).
% 14.77/10.48 tff(35464,plain,(always3(s329) | xuntil6(s329) | (~until5(s311))), inference(lemma,lemma(discharge,[]))).
% 14.77/10.48 tff(35465,plain,
% 14.77/10.48 (always3(s329)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35464, 35370, 34705])).
% 14.77/10.48 tff(35466,plain,
% 14.77/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s329)) | (~m_main_v_state(s329, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s329)) | (~m_main_v_state(s329, c_busy)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35467,plain,
% 14.77/10.48 (((~m_main_v_state(s329, c_busy)) | (~always3(s329))) <=> ((~always3(s329)) | (~m_main_v_state(s329, c_busy)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35468,plain,
% 14.77/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s329, c_busy)) | (~always3(s329)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s329)) | (~m_main_v_state(s329, c_busy))))),
% 14.77/10.48 inference(monotonicity,[status(thm)],[35467])).
% 14.77/10.48 tff(35469,plain,
% 14.77/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s329, c_busy)) | (~always3(s329)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s329)) | (~m_main_v_state(s329, c_busy)))),
% 14.77/10.48 inference(transitivity,[status(thm)],[35468, 35466])).
% 14.77/10.48 tff(35470,plain,
% 14.77/10.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s329, c_busy)) | (~always3(s329)))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35471,plain,
% 14.77/10.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s329)) | (~m_main_v_state(s329, c_busy))),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35470, 35469])).
% 14.77/10.48 tff(35472,plain,
% 14.77/10.48 (~m_main_v_state(s329, c_busy)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35471, 85, 35465])).
% 14.77/10.48 tff(35473,assumption,(~m_main_v_state(s329, c_busy)), introduced(assumption)).
% 14.77/10.48 tff(35474,assumption,(node4(s328)), introduced(assumption)).
% 14.77/10.48 tff(35475,plain,
% 14.77/10.48 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s328) | (~node4(s328)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s328) | (~node4(s328)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35476,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s328) | (~node4(s328)))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35477,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s328) | (~node4(s328))),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35476, 35475])).
% 14.77/10.48 tff(35478,plain,
% 14.77/10.48 (m_main_v_request(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35477, 21, 35474])).
% 14.77/10.48 tff(35479,plain,
% 14.77/10.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s328, s329)) | node2(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s328, s329)) | node2(s328, s329))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35480,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s328, s329)) | node2(s328, s329))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35481,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s328, s329)) | node2(s328, s329)),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35480, 35479])).
% 14.77/10.48 tff(35482,plain,
% 14.77/10.48 (node2(s328, s329)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35481, 7, 27758])).
% 14.77/10.48 tff(35483,plain,
% 14.77/10.48 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s328, c_ready)) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s328, c_ready)) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35484,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s328, c_ready)) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328)))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35485,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s328, c_ready)) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328))),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35484, 35483])).
% 14.77/10.48 tff(35486,plain,
% 14.77/10.48 ((~m_main_v_state(s328, c_ready)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35485, 73, 35482])).
% 14.77/10.48 tff(35487,plain,
% 14.77/10.48 (~m_main_v_state(s328, c_ready)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35486, 35478, 35473])).
% 14.77/10.48 tff(35488,plain,
% 14.77/10.48 (always3(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28345, 36, 35474])).
% 14.77/10.48 tff(35489,plain,
% 14.77/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s328)) | (~m_main_v_state(s328, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s328)) | (~m_main_v_state(s328, c_busy)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35490,plain,
% 14.77/10.48 (((~m_main_v_state(s328, c_busy)) | (~always3(s328))) <=> ((~always3(s328)) | (~m_main_v_state(s328, c_busy)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35491,plain,
% 14.77/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s328, c_busy)) | (~always3(s328)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s328)) | (~m_main_v_state(s328, c_busy))))),
% 14.77/10.48 inference(monotonicity,[status(thm)],[35490])).
% 14.77/10.48 tff(35492,plain,
% 14.77/10.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s328, c_busy)) | (~always3(s328)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s328)) | (~m_main_v_state(s328, c_busy)))),
% 14.77/10.48 inference(transitivity,[status(thm)],[35491, 35489])).
% 14.77/10.48 tff(35493,plain,
% 14.77/10.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s328, c_busy)) | (~always3(s328)))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35494,plain,
% 14.77/10.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s328)) | (~m_main_v_state(s328, c_busy))),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35493, 35492])).
% 14.77/10.48 tff(35495,plain,
% 14.77/10.48 (~m_main_v_state(s328, c_busy)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35494, 85, 35488])).
% 14.77/10.48 tff(35496,plain,
% 14.77/10.48 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s328, c_busy) | m_main_v_state(s328, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s328, c_busy) | m_main_v_state(s328, c_ready))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35497,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s328, c_busy) | m_main_v_state(s328, c_ready))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35498,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s328, c_busy) | m_main_v_state(s328, c_ready)),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35497, 35496])).
% 14.77/10.48 tff(35499,plain,
% 14.77/10.48 ($false),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35498, 102, 35495, 35487])).
% 14.77/10.48 tff(35500,plain,((~node4(s328)) | m_main_v_state(s329, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.77/10.48 tff(35501,plain,
% 14.77/10.48 (~node4(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35500, 35472])).
% 14.77/10.48 tff(35502,assumption,(~m_main_v_state(s329, c_ready)), introduced(assumption)).
% 14.77/10.48 tff(35503,plain,
% 14.77/10.48 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s328, s329)) | m_main_v_state(s329, c_busy) | node1(s328) | m_main_v_state(s329, 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(s328, s329)) | m_main_v_state(s329, c_busy) | node1(s328) | m_main_v_state(s329, c_ready))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35504,plain,
% 14.77/10.48 ((node1(s328) | m_main_v_state(s329, c_ready) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy)) <=> ((~node2(s328, s329)) | m_main_v_state(s329, c_busy) | node1(s328) | m_main_v_state(s329, c_ready))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35505,plain,
% 14.77/10.48 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s328) | m_main_v_state(s329, c_ready) | (~node2(s328, s329)) | m_main_v_state(s329, 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(s328, s329)) | m_main_v_state(s329, c_busy) | node1(s328) | m_main_v_state(s329, c_ready)))),
% 14.77/10.48 inference(monotonicity,[status(thm)],[35504])).
% 14.77/10.48 tff(35506,plain,
% 14.77/10.48 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s328) | m_main_v_state(s329, c_ready) | (~node2(s328, s329)) | m_main_v_state(s329, 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(s328, s329)) | m_main_v_state(s329, c_busy) | node1(s328) | m_main_v_state(s329, c_ready))),
% 14.77/10.48 inference(transitivity,[status(thm)],[35505, 35503])).
% 14.77/10.48 tff(35507,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s328) | m_main_v_state(s329, c_ready) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35508,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | node1(s328) | m_main_v_state(s329, c_ready)),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35507, 35506])).
% 14.77/10.48 tff(35509,plain,
% 14.77/10.48 (m_main_v_state(s329, c_busy) | node1(s328) | m_main_v_state(s329, c_ready)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35508, 3551, 35482])).
% 14.77/10.48 tff(35510,plain,
% 14.77/10.48 (node1(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35509, 35473, 35502])).
% 14.77/10.48 tff(35511,plain,
% 14.77/10.48 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s328, c_ready) | (~node1(s328)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s328, c_ready) | (~node1(s328)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35512,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s328, c_ready) | (~node1(s328)))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35513,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s328, c_ready) | (~node1(s328))),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35512, 35511])).
% 14.77/10.48 tff(35514,plain,
% 14.77/10.48 (m_main_v_state(s328, c_ready)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35513, 3581, 35510])).
% 14.77/10.48 tff(35515,plain,
% 14.77/10.48 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s328) | (~node1(s328)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s328) | (~node1(s328)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35516,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s328) | (~node1(s328)))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35517,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s328) | (~node1(s328))),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35516, 35515])).
% 14.77/10.48 tff(35518,plain,
% 14.77/10.48 (m_main_v_request(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35517, 3568, 35510])).
% 14.77/10.48 tff(35519,plain,
% 14.77/10.48 ($false),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35486, 35518, 35514, 35473])).
% 14.77/10.48 tff(35520,plain,(m_main_v_state(s329, c_busy) | m_main_v_state(s329, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.77/10.48 tff(35521,plain,
% 14.77/10.48 (m_main_v_state(s329, c_ready)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35520, 35472])).
% 14.77/10.48 tff(35522,plain,
% 14.77/10.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s329, s330)) | node2(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s329, s330)) | node2(s329, s330))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35523,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s329, s330)) | node2(s329, s330))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35524,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s329, s330)) | node2(s329, s330)),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35523, 35522])).
% 14.77/10.48 tff(35525,plain,
% 14.77/10.48 (node2(s329, s330)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35524, 7, 27746])).
% 14.77/10.48 tff(35526,plain,
% 14.77/10.48 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s329, c_ready)) | (~node2(s329, s330)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s329, c_ready)) | (~node2(s329, s330)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35527,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s329, c_ready)) | (~node2(s329, s330)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329)))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35528,plain,
% 14.77/10.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s329, c_ready)) | (~node2(s329, s330)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329))),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35527, 35526])).
% 14.77/10.48 tff(35529,plain,
% 14.77/10.48 ((~m_main_v_state(s329, c_ready)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35528, 73, 35525])).
% 14.77/10.48 tff(35530,plain,
% 14.77/10.48 (~m_main_v_request(s329)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35529, 35521, 35346])).
% 14.77/10.48 tff(35531,plain,
% 14.77/10.48 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s329) | (~node4(s329)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s329) | (~node4(s329)))),
% 14.77/10.48 inference(rewrite,[status(thm)],[])).
% 14.77/10.48 tff(35532,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s329) | (~node4(s329)))),
% 14.77/10.48 inference(quant_inst,[status(thm)],[])).
% 14.77/10.48 tff(35533,plain,
% 14.77/10.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s329) | (~node4(s329))),
% 14.77/10.48 inference(modus_ponens,[status(thm)],[35532, 35531])).
% 14.77/10.48 tff(35534,plain,
% 14.77/10.48 (~node4(s329)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35533, 21, 35530])).
% 14.77/10.48 tff(35535,plain,
% 14.77/10.48 (node4(s329) | (~until5(s329))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28369, 294, 35370])).
% 14.77/10.48 tff(35536,plain,
% 14.77/10.48 (~until5(s329)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35535, 35534])).
% 14.77/10.48 tff(35537,plain,
% 14.77/10.48 (~xuntil6(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28358, 35536])).
% 14.77/10.48 tff(35538,plain,
% 14.77/10.48 (node4(s328) | (~until5(s328))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28352, 294, 35537])).
% 14.77/10.48 tff(35539,plain,
% 14.77/10.48 (~until5(s328)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35538, 35501])).
% 14.77/10.48 tff(35540,plain,
% 14.77/10.48 (~xuntil6(s327)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28341, 35539])).
% 14.77/10.48 tff(35541,assumption,(~always3(s327)), introduced(assumption)).
% 14.77/10.48 tff(35542,plain,
% 14.77/10.48 (~always3(s326)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27786, 35541])).
% 14.77/10.48 tff(35543,plain,
% 14.77/10.48 (~node4(s326)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28311, 36, 35542])).
% 14.77/10.48 tff(35544,plain,
% 14.77/10.48 (~node4(s327)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28328, 36, 35541])).
% 14.77/10.48 tff(35545,assumption,(~xuntil6(s327)), introduced(assumption)).
% 14.77/10.48 tff(35546,plain,
% 14.77/10.48 (node4(s327) | (~until5(s327))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28335, 294, 35545])).
% 14.77/10.48 tff(35547,plain,
% 14.77/10.48 (~until5(s327)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35546, 35544])).
% 14.77/10.48 tff(35548,plain,
% 14.77/10.48 (~xuntil6(s326)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28324, 35547])).
% 14.77/10.48 tff(35549,plain,
% 14.77/10.48 (~until5(s326)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28318, 294, 35548, 35543])).
% 14.77/10.48 tff(35550,plain,
% 14.77/10.48 (~xuntil6(s325)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28307, 35549])).
% 14.77/10.48 tff(35551,plain,
% 14.77/10.48 (~always3(s325)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27798, 35542])).
% 14.77/10.48 tff(35552,plain,
% 14.77/10.48 (~node4(s325)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28294, 36, 35551])).
% 14.77/10.48 tff(35553,plain,
% 14.77/10.48 (xuntil6(s325) | (~until5(s325))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28301, 294, 35552])).
% 14.77/10.48 tff(35554,plain,
% 14.77/10.48 (~until5(s325)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35553, 35550])).
% 14.77/10.48 tff(35555,plain,
% 14.77/10.48 (~xuntil6(s324)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28290, 35554])).
% 14.77/10.48 tff(35556,plain,
% 14.77/10.48 (~always3(s324)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27810, 35551])).
% 14.77/10.48 tff(35557,plain,
% 14.77/10.48 (~node4(s324)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28277, 36, 35556])).
% 14.77/10.48 tff(35558,plain,
% 14.77/10.48 (xuntil6(s324) | (~until5(s324))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28284, 294, 35557])).
% 14.77/10.48 tff(35559,plain,
% 14.77/10.48 (~until5(s324)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35558, 35555])).
% 14.77/10.48 tff(35560,plain,
% 14.77/10.48 (~xuntil6(s323)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28273, 35559])).
% 14.77/10.48 tff(35561,plain,
% 14.77/10.48 (~always3(s323)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27822, 35556])).
% 14.77/10.48 tff(35562,plain,
% 14.77/10.48 (~node4(s323)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28260, 36, 35561])).
% 14.77/10.48 tff(35563,plain,
% 14.77/10.48 (xuntil6(s323) | (~until5(s323))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28267, 294, 35562])).
% 14.77/10.48 tff(35564,plain,
% 14.77/10.48 (~until5(s323)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35563, 35560])).
% 14.77/10.48 tff(35565,plain,
% 14.77/10.48 (~xuntil6(s322)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28256, 35564])).
% 14.77/10.48 tff(35566,plain,
% 14.77/10.48 (~always3(s322)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27834, 35561])).
% 14.77/10.48 tff(35567,plain,
% 14.77/10.48 (~node4(s322)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28243, 36, 35566])).
% 14.77/10.48 tff(35568,plain,
% 14.77/10.48 (xuntil6(s322) | (~until5(s322))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28250, 294, 35567])).
% 14.77/10.48 tff(35569,plain,
% 14.77/10.48 (~until5(s322)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35568, 35565])).
% 14.77/10.48 tff(35570,plain,
% 14.77/10.48 (~xuntil6(s321)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28239, 35569])).
% 14.77/10.48 tff(35571,plain,
% 14.77/10.48 (~always3(s321)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27846, 35566])).
% 14.77/10.48 tff(35572,plain,
% 14.77/10.48 (~node4(s321)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28226, 36, 35571])).
% 14.77/10.48 tff(35573,plain,
% 14.77/10.48 (xuntil6(s321) | (~until5(s321))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28233, 294, 35572])).
% 14.77/10.48 tff(35574,plain,
% 14.77/10.48 (~until5(s321)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35573, 35570])).
% 14.77/10.48 tff(35575,plain,
% 14.77/10.48 (~xuntil6(s320)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28222, 35574])).
% 14.77/10.48 tff(35576,plain,
% 14.77/10.48 (~always3(s320)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27858, 35571])).
% 14.77/10.48 tff(35577,plain,
% 14.77/10.48 (~node4(s320)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28209, 36, 35576])).
% 14.77/10.48 tff(35578,plain,
% 14.77/10.48 (xuntil6(s320) | (~until5(s320))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28216, 294, 35577])).
% 14.77/10.48 tff(35579,plain,
% 14.77/10.48 (~until5(s320)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35578, 35575])).
% 14.77/10.48 tff(35580,plain,
% 14.77/10.48 (~xuntil6(s319)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28205, 35579])).
% 14.77/10.48 tff(35581,plain,
% 14.77/10.48 (~always3(s319)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27870, 35576])).
% 14.77/10.48 tff(35582,plain,
% 14.77/10.48 (~always3(s318)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27882, 35581])).
% 14.77/10.48 tff(35583,plain,
% 14.77/10.48 (~always3(s317)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27894, 35582])).
% 14.77/10.48 tff(35584,plain,
% 14.77/10.48 (~always3(s316)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27906, 35583])).
% 14.77/10.48 tff(35585,plain,
% 14.77/10.48 (~always3(s315)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27918, 35584])).
% 14.77/10.48 tff(35586,plain,
% 14.77/10.48 (~always3(s314)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27930, 35585])).
% 14.77/10.48 tff(35587,plain,
% 14.77/10.48 (~always3(s313)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27942, 35586])).
% 14.77/10.48 tff(35588,plain,
% 14.77/10.48 (~always3(s312)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27954, 35587])).
% 14.77/10.48 tff(35589,plain,
% 14.77/10.48 (~node4(s312)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28073, 36, 35588])).
% 14.77/10.48 tff(35590,plain,
% 14.77/10.48 (~always3(s311)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[27966, 35588])).
% 14.77/10.48 tff(35591,plain,
% 14.77/10.48 (~node4(s311)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28056, 36, 35590])).
% 14.77/10.48 tff(35592,plain,
% 14.77/10.48 (xuntil6(s311)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[34734, 35591])).
% 14.77/10.48 tff(35593,plain,
% 14.77/10.48 (until5(s312)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28069, 35592])).
% 14.77/10.48 tff(35594,plain,
% 14.77/10.48 (xuntil6(s312)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28080, 294, 35593, 35589])).
% 14.77/10.48 tff(35595,plain,
% 14.77/10.48 (until5(s313)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28086, 35594])).
% 14.77/10.48 tff(35596,plain,
% 14.77/10.48 (~node4(s313)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28090, 36, 35587])).
% 14.77/10.48 tff(35597,plain,
% 14.77/10.48 (xuntil6(s313) | (~until5(s313))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28097, 294, 35596])).
% 14.77/10.48 tff(35598,plain,
% 14.77/10.48 (xuntil6(s313)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35597, 35595])).
% 14.77/10.48 tff(35599,plain,
% 14.77/10.48 (until5(s314)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28103, 35598])).
% 14.77/10.48 tff(35600,plain,
% 14.77/10.48 (~node4(s314)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28107, 36, 35586])).
% 14.77/10.48 tff(35601,plain,
% 14.77/10.48 (xuntil6(s314) | (~until5(s314))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28114, 294, 35600])).
% 14.77/10.48 tff(35602,plain,
% 14.77/10.48 (xuntil6(s314)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35601, 35599])).
% 14.77/10.48 tff(35603,plain,
% 14.77/10.48 (until5(s315)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28120, 35602])).
% 14.77/10.48 tff(35604,plain,
% 14.77/10.48 (~node4(s315)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28124, 36, 35585])).
% 14.77/10.48 tff(35605,plain,
% 14.77/10.48 (xuntil6(s315) | (~until5(s315))),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28131, 294, 35604])).
% 14.77/10.48 tff(35606,plain,
% 14.77/10.48 (xuntil6(s315)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[35605, 35603])).
% 14.77/10.48 tff(35607,plain,
% 14.77/10.48 (until5(s316)),
% 14.77/10.48 inference(unit_resolution,[status(thm)],[28137, 35606])).
% 14.77/10.49 tff(35608,plain,
% 14.77/10.49 (~node4(s316)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28141, 36, 35584])).
% 14.77/10.49 tff(35609,plain,
% 14.77/10.49 (xuntil6(s316) | (~until5(s316))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28148, 294, 35608])).
% 14.77/10.49 tff(35610,plain,
% 14.77/10.49 (xuntil6(s316)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35609, 35607])).
% 14.77/10.49 tff(35611,plain,
% 14.77/10.49 (until5(s317)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28154, 35610])).
% 14.77/10.49 tff(35612,plain,
% 14.77/10.49 (~node4(s317)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28158, 36, 35583])).
% 14.77/10.49 tff(35613,plain,
% 14.77/10.49 (xuntil6(s317) | (~until5(s317))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28165, 294, 35612])).
% 14.77/10.49 tff(35614,plain,
% 14.77/10.49 (xuntil6(s317)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35613, 35611])).
% 14.77/10.49 tff(35615,plain,
% 14.77/10.49 (until5(s318)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28171, 35614])).
% 14.77/10.49 tff(35616,plain,
% 14.77/10.49 (~node4(s318)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28175, 36, 35582])).
% 14.77/10.49 tff(35617,plain,
% 14.77/10.49 (xuntil6(s318) | (~until5(s318))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28182, 294, 35616])).
% 14.77/10.49 tff(35618,plain,
% 14.77/10.49 (xuntil6(s318)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35617, 35615])).
% 14.77/10.49 tff(35619,plain,
% 14.77/10.49 (until5(s319)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28188, 35618])).
% 14.77/10.49 tff(35620,plain,
% 14.77/10.49 (~node4(s319)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28192, 36, 35581])).
% 14.77/10.49 tff(35621,plain,
% 14.77/10.49 (xuntil6(s319) | (~until5(s319))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28199, 294, 35620])).
% 14.77/10.49 tff(35622,plain,
% 14.77/10.49 ($false),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35621, 35619, 35580])).
% 14.77/10.49 tff(35623,plain,(always3(s327) | (~until5(s311)) | xuntil6(s327)), inference(lemma,lemma(discharge,[]))).
% 14.77/10.49 tff(35624,plain,
% 14.77/10.49 (always3(s327)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35623, 34705, 35540])).
% 14.77/10.49 tff(35625,plain,
% 14.77/10.49 (always3(s328)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27774, 35624])).
% 14.77/10.49 tff(35626,plain,
% 14.77/10.49 (~m_main_v_state(s328, c_busy)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35494, 85, 35625])).
% 14.77/10.49 tff(35627,plain,
% 14.77/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s327)) | (~m_main_v_state(s327, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s327)) | (~m_main_v_state(s327, c_busy)))),
% 14.77/10.49 inference(rewrite,[status(thm)],[])).
% 14.77/10.49 tff(35628,plain,
% 14.77/10.49 (((~m_main_v_state(s327, c_busy)) | (~always3(s327))) <=> ((~always3(s327)) | (~m_main_v_state(s327, c_busy)))),
% 14.77/10.49 inference(rewrite,[status(thm)],[])).
% 14.77/10.49 tff(35629,plain,
% 14.77/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s327, c_busy)) | (~always3(s327)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s327)) | (~m_main_v_state(s327, c_busy))))),
% 14.77/10.49 inference(monotonicity,[status(thm)],[35628])).
% 14.77/10.49 tff(35630,plain,
% 14.77/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s327, c_busy)) | (~always3(s327)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s327)) | (~m_main_v_state(s327, c_busy)))),
% 14.77/10.49 inference(transitivity,[status(thm)],[35629, 35627])).
% 14.77/10.49 tff(35631,plain,
% 14.77/10.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s327, c_busy)) | (~always3(s327)))),
% 14.77/10.49 inference(quant_inst,[status(thm)],[])).
% 14.77/10.49 tff(35632,plain,
% 14.77/10.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s327)) | (~m_main_v_state(s327, c_busy))),
% 14.77/10.49 inference(modus_ponens,[status(thm)],[35631, 35630])).
% 14.77/10.49 tff(35633,plain,
% 14.77/10.49 (~m_main_v_state(s327, c_busy)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35632, 85, 35624])).
% 14.77/10.49 tff(35634,plain,
% 14.77/10.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s327, c_busy) | m_main_v_state(s327, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s327, c_busy) | m_main_v_state(s327, c_ready))),
% 14.77/10.49 inference(rewrite,[status(thm)],[])).
% 14.77/10.49 tff(35635,plain,
% 14.77/10.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s327, c_busy) | m_main_v_state(s327, c_ready))),
% 14.77/10.49 inference(quant_inst,[status(thm)],[])).
% 14.77/10.49 tff(35636,plain,
% 14.77/10.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s327, c_busy) | m_main_v_state(s327, c_ready)),
% 14.77/10.49 inference(modus_ponens,[status(thm)],[35635, 35634])).
% 14.77/10.49 tff(35637,plain,
% 14.77/10.49 (m_main_v_state(s327, c_ready)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35636, 102, 35633])).
% 14.77/10.49 tff(35638,plain,
% 14.77/10.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s327, s328)) | node2(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s327, s328)) | node2(s327, s328))),
% 14.77/10.49 inference(rewrite,[status(thm)],[])).
% 14.77/10.49 tff(35639,plain,
% 14.77/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s327, s328)) | node2(s327, s328))),
% 14.77/10.49 inference(quant_inst,[status(thm)],[])).
% 14.77/10.49 tff(35640,plain,
% 14.77/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s327, s328)) | node2(s327, s328)),
% 14.77/10.49 inference(modus_ponens,[status(thm)],[35639, 35638])).
% 14.77/10.49 tff(35641,plain,
% 14.77/10.49 (node2(s327, s328)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35640, 7, 27770])).
% 14.77/10.49 tff(35642,plain,
% 14.77/10.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s327, c_ready)) | (~node2(s327, s328)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s327, c_ready)) | (~node2(s327, s328)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327)))),
% 14.77/10.49 inference(rewrite,[status(thm)],[])).
% 14.77/10.49 tff(35643,plain,
% 14.77/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s327, c_ready)) | (~node2(s327, s328)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327)))),
% 14.77/10.49 inference(quant_inst,[status(thm)],[])).
% 14.77/10.49 tff(35644,plain,
% 14.77/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s327, c_ready)) | (~node2(s327, s328)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327))),
% 14.77/10.49 inference(modus_ponens,[status(thm)],[35643, 35642])).
% 14.77/10.49 tff(35645,plain,
% 14.77/10.49 ((~m_main_v_state(s327, c_ready)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35644, 73, 35641])).
% 14.77/10.49 tff(35646,plain,
% 14.77/10.49 (~m_main_v_request(s327)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35645, 35637, 35626])).
% 14.77/10.49 tff(35647,plain,
% 14.77/10.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s327) | (~node4(s327)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s327) | (~node4(s327)))),
% 14.77/10.49 inference(rewrite,[status(thm)],[])).
% 14.77/10.49 tff(35648,plain,
% 14.77/10.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s327) | (~node4(s327)))),
% 14.77/10.49 inference(quant_inst,[status(thm)],[])).
% 14.77/10.49 tff(35649,plain,
% 14.77/10.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s327) | (~node4(s327))),
% 14.77/10.49 inference(modus_ponens,[status(thm)],[35648, 35647])).
% 14.77/10.49 tff(35650,plain,
% 14.77/10.49 (~node4(s327)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35649, 21, 35646])).
% 14.77/10.49 tff(35651,plain,
% 14.77/10.49 (node4(s327) | (~until5(s327))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28335, 294, 35540])).
% 14.77/10.49 tff(35652,plain,
% 14.77/10.49 (~until5(s327)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35651, 35650])).
% 14.77/10.49 tff(35653,plain,
% 14.77/10.49 (~xuntil6(s326)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28324, 35652])).
% 14.77/10.49 tff(35654,assumption,(~always3(s326)), introduced(assumption)).
% 14.77/10.49 tff(35655,plain,
% 14.77/10.49 (~always3(s325)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27798, 35654])).
% 14.77/10.49 tff(35656,plain,
% 14.77/10.49 (~always3(s324)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27810, 35655])).
% 14.77/10.49 tff(35657,plain,
% 14.77/10.49 (~always3(s323)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27822, 35656])).
% 14.77/10.49 tff(35658,plain,
% 14.77/10.49 (~always3(s322)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27834, 35657])).
% 14.77/10.49 tff(35659,plain,
% 14.77/10.49 (~always3(s321)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27846, 35658])).
% 14.77/10.49 tff(35660,plain,
% 14.77/10.49 (~always3(s320)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27858, 35659])).
% 14.77/10.49 tff(35661,plain,
% 14.77/10.49 (~always3(s319)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27870, 35660])).
% 14.77/10.49 tff(35662,plain,
% 14.77/10.49 (~always3(s318)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27882, 35661])).
% 14.77/10.49 tff(35663,plain,
% 14.77/10.49 (~always3(s317)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27894, 35662])).
% 14.77/10.49 tff(35664,plain,
% 14.77/10.49 (~always3(s316)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27906, 35663])).
% 14.77/10.49 tff(35665,plain,
% 14.77/10.49 (~always3(s315)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27918, 35664])).
% 14.77/10.49 tff(35666,plain,
% 14.77/10.49 (~always3(s314)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27930, 35665])).
% 14.77/10.49 tff(35667,plain,
% 14.77/10.49 (~always3(s313)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27942, 35666])).
% 14.77/10.49 tff(35668,plain,
% 14.77/10.49 (~always3(s312)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27954, 35667])).
% 14.77/10.49 tff(35669,plain,
% 14.77/10.49 (~node4(s312)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28073, 36, 35668])).
% 14.77/10.49 tff(35670,plain,
% 14.77/10.49 (~always3(s311)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[27966, 35668])).
% 14.77/10.49 tff(35671,plain,
% 14.77/10.49 (~node4(s311)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28056, 36, 35670])).
% 14.77/10.49 tff(35672,plain,
% 14.77/10.49 (xuntil6(s311)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[34734, 35671])).
% 14.77/10.49 tff(35673,plain,
% 14.77/10.49 (until5(s312)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28069, 35672])).
% 14.77/10.49 tff(35674,plain,
% 14.77/10.49 (xuntil6(s312)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28080, 294, 35673, 35669])).
% 14.77/10.49 tff(35675,plain,
% 14.77/10.49 (until5(s313)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28086, 35674])).
% 14.77/10.49 tff(35676,plain,
% 14.77/10.49 (~node4(s313)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28090, 36, 35667])).
% 14.77/10.49 tff(35677,plain,
% 14.77/10.49 (xuntil6(s313) | (~until5(s313))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28097, 294, 35676])).
% 14.77/10.49 tff(35678,plain,
% 14.77/10.49 (xuntil6(s313)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35677, 35675])).
% 14.77/10.49 tff(35679,plain,
% 14.77/10.49 (until5(s314)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28103, 35678])).
% 14.77/10.49 tff(35680,plain,
% 14.77/10.49 (~node4(s314)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28107, 36, 35666])).
% 14.77/10.49 tff(35681,plain,
% 14.77/10.49 (xuntil6(s314) | (~until5(s314))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28114, 294, 35680])).
% 14.77/10.49 tff(35682,plain,
% 14.77/10.49 (xuntil6(s314)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35681, 35679])).
% 14.77/10.49 tff(35683,plain,
% 14.77/10.49 (until5(s315)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28120, 35682])).
% 14.77/10.49 tff(35684,plain,
% 14.77/10.49 (~node4(s315)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28124, 36, 35665])).
% 14.77/10.49 tff(35685,plain,
% 14.77/10.49 (xuntil6(s315) | (~until5(s315))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28131, 294, 35684])).
% 14.77/10.49 tff(35686,plain,
% 14.77/10.49 (xuntil6(s315)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35685, 35683])).
% 14.77/10.49 tff(35687,plain,
% 14.77/10.49 (until5(s316)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28137, 35686])).
% 14.77/10.49 tff(35688,plain,
% 14.77/10.49 (~node4(s316)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28141, 36, 35664])).
% 14.77/10.49 tff(35689,plain,
% 14.77/10.49 (xuntil6(s316) | (~until5(s316))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28148, 294, 35688])).
% 14.77/10.49 tff(35690,plain,
% 14.77/10.49 (xuntil6(s316)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35689, 35687])).
% 14.77/10.49 tff(35691,plain,
% 14.77/10.49 (until5(s317)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28154, 35690])).
% 14.77/10.49 tff(35692,plain,
% 14.77/10.49 (~node4(s317)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28158, 36, 35663])).
% 14.77/10.49 tff(35693,plain,
% 14.77/10.49 (xuntil6(s317) | (~until5(s317))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28165, 294, 35692])).
% 14.77/10.49 tff(35694,plain,
% 14.77/10.49 (xuntil6(s317)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35693, 35691])).
% 14.77/10.49 tff(35695,plain,
% 14.77/10.49 (until5(s318)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28171, 35694])).
% 14.77/10.49 tff(35696,plain,
% 14.77/10.49 (~node4(s318)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28175, 36, 35662])).
% 14.77/10.49 tff(35697,plain,
% 14.77/10.49 (xuntil6(s318) | (~until5(s318))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28182, 294, 35696])).
% 14.77/10.49 tff(35698,plain,
% 14.77/10.49 (xuntil6(s318)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35697, 35695])).
% 14.77/10.49 tff(35699,plain,
% 14.77/10.49 (until5(s319)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28188, 35698])).
% 14.77/10.49 tff(35700,plain,
% 14.77/10.49 (~node4(s319)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28192, 36, 35661])).
% 14.77/10.49 tff(35701,plain,
% 14.77/10.49 (xuntil6(s319) | (~until5(s319))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28199, 294, 35700])).
% 14.77/10.49 tff(35702,plain,
% 14.77/10.49 (xuntil6(s319)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35701, 35699])).
% 14.77/10.49 tff(35703,plain,
% 14.77/10.49 (until5(s320)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28205, 35702])).
% 14.77/10.49 tff(35704,plain,
% 14.77/10.49 (~node4(s320)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28209, 36, 35660])).
% 14.77/10.49 tff(35705,plain,
% 14.77/10.49 (xuntil6(s320) | (~until5(s320))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28216, 294, 35704])).
% 14.77/10.49 tff(35706,plain,
% 14.77/10.49 (xuntil6(s320)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35705, 35703])).
% 14.77/10.49 tff(35707,plain,
% 14.77/10.49 (until5(s321)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28222, 35706])).
% 14.77/10.49 tff(35708,plain,
% 14.77/10.49 (~node4(s321)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28226, 36, 35659])).
% 14.77/10.49 tff(35709,plain,
% 14.77/10.49 (xuntil6(s321) | (~until5(s321))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28233, 294, 35708])).
% 14.77/10.49 tff(35710,plain,
% 14.77/10.49 (xuntil6(s321)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35709, 35707])).
% 14.77/10.49 tff(35711,plain,
% 14.77/10.49 (until5(s322)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28239, 35710])).
% 14.77/10.49 tff(35712,plain,
% 14.77/10.49 (~node4(s322)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28243, 36, 35658])).
% 14.77/10.49 tff(35713,plain,
% 14.77/10.49 (xuntil6(s322) | (~until5(s322))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28250, 294, 35712])).
% 14.77/10.49 tff(35714,plain,
% 14.77/10.49 (xuntil6(s322)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35713, 35711])).
% 14.77/10.49 tff(35715,plain,
% 14.77/10.49 (until5(s323)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28256, 35714])).
% 14.77/10.49 tff(35716,plain,
% 14.77/10.49 (~node4(s323)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28260, 36, 35657])).
% 14.77/10.49 tff(35717,plain,
% 14.77/10.49 (xuntil6(s323) | (~until5(s323))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28267, 294, 35716])).
% 14.77/10.49 tff(35718,plain,
% 14.77/10.49 (xuntil6(s323)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35717, 35715])).
% 14.77/10.49 tff(35719,plain,
% 14.77/10.49 (until5(s324)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28273, 35718])).
% 14.77/10.49 tff(35720,plain,
% 14.77/10.49 (~node4(s324)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28277, 36, 35656])).
% 14.77/10.49 tff(35721,plain,
% 14.77/10.49 (xuntil6(s324) | (~until5(s324))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28284, 294, 35720])).
% 14.77/10.49 tff(35722,plain,
% 14.77/10.49 (xuntil6(s324)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35721, 35719])).
% 14.77/10.49 tff(35723,plain,
% 14.77/10.49 (until5(s325)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28290, 35722])).
% 14.77/10.49 tff(35724,plain,
% 14.77/10.49 (~node4(s325)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28294, 36, 35655])).
% 14.77/10.49 tff(35725,plain,
% 14.77/10.49 (xuntil6(s325) | (~until5(s325))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28301, 294, 35724])).
% 14.77/10.49 tff(35726,plain,
% 14.77/10.49 (xuntil6(s325)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35725, 35723])).
% 14.77/10.49 tff(35727,plain,
% 14.77/10.49 (until5(s326)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28307, 35726])).
% 14.77/10.49 tff(35728,assumption,(~xuntil6(s326)), introduced(assumption)).
% 14.77/10.49 tff(35729,plain,
% 14.77/10.49 (node4(s326) | (~until5(s326))),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28318, 294, 35728])).
% 14.77/10.49 tff(35730,plain,
% 14.77/10.49 (node4(s326)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35729, 35727])).
% 14.77/10.49 tff(35731,plain,
% 14.77/10.49 ($false),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[28311, 36, 35654, 35730])).
% 14.77/10.49 tff(35732,plain,(always3(s326) | xuntil6(s326) | (~until5(s311))), inference(lemma,lemma(discharge,[]))).
% 14.77/10.49 tff(35733,plain,
% 14.77/10.49 (always3(s326)),
% 14.77/10.49 inference(unit_resolution,[status(thm)],[35732, 35653, 34705])).
% 14.77/10.49 tff(35734,plain,
% 14.77/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s326)) | (~m_main_v_state(s326, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s326)) | (~m_main_v_state(s326, c_busy)))),
% 14.77/10.49 inference(rewrite,[status(thm)],[])).
% 14.77/10.49 tff(35735,plain,
% 14.77/10.49 (((~m_main_v_state(s326, c_busy)) | (~always3(s326))) <=> ((~always3(s326)) | (~m_main_v_state(s326, c_busy)))),
% 14.77/10.49 inference(rewrite,[status(thm)],[])).
% 14.77/10.49 tff(35736,plain,
% 14.77/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s326, c_busy)) | (~always3(s326)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s326)) | (~m_main_v_state(s326, c_busy))))),
% 14.77/10.49 inference(monotonicity,[status(thm)],[35735])).
% 14.77/10.49 tff(35737,plain,
% 14.77/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s326, c_busy)) | (~always3(s326)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s326)) | (~m_main_v_state(s326, c_busy)))),
% 14.77/10.49 inference(transitivity,[status(thm)],[35736, 35734])).
% 14.77/10.49 tff(35738,plain,
% 14.77/10.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s326, c_busy)) | (~always3(s326)))),
% 14.77/10.49 inference(quant_inst,[status(thm)],[])).
% 14.77/10.49 tff(35739,plain,
% 14.78/10.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s326)) | (~m_main_v_state(s326, c_busy))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35738, 35737])).
% 14.78/10.49 tff(35740,plain,
% 14.78/10.49 (~m_main_v_state(s326, c_busy)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35739, 85, 35733])).
% 14.78/10.49 tff(35741,assumption,(~m_main_v_state(s326, c_ready)), introduced(assumption)).
% 14.78/10.49 tff(35742,assumption,(~m_main_v_state(s326, c_busy)), introduced(assumption)).
% 14.78/10.49 tff(35743,plain,
% 14.78/10.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s326, c_busy) | m_main_v_state(s326, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s326, c_busy) | m_main_v_state(s326, c_ready))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35744,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s326, c_busy) | m_main_v_state(s326, c_ready))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35745,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s326, c_busy) | m_main_v_state(s326, c_ready)),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35744, 35743])).
% 14.78/10.49 tff(35746,plain,
% 14.78/10.49 ($false),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35745, 102, 35742, 35741])).
% 14.78/10.49 tff(35747,plain,(m_main_v_state(s326, c_ready) | m_main_v_state(s326, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.78/10.49 tff(35748,plain,
% 14.78/10.49 (m_main_v_state(s326, c_ready)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35747, 35740])).
% 14.78/10.49 tff(35749,plain,
% 14.78/10.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s326, s327)) | node2(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s326, s327)) | node2(s326, s327))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35750,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s326, s327)) | node2(s326, s327))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35751,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s326, s327)) | node2(s326, s327)),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35750, 35749])).
% 14.78/10.49 tff(35752,plain,
% 14.78/10.49 (node2(s326, s327)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35751, 7, 27782])).
% 14.78/10.49 tff(35753,plain,
% 14.78/10.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s326, c_ready)) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s326, c_ready)) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35754,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s326, c_ready)) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326)))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35755,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s326, c_ready)) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35754, 35753])).
% 14.78/10.49 tff(35756,plain,
% 14.78/10.49 ((~m_main_v_state(s326, c_ready)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35755, 73, 35752])).
% 14.78/10.49 tff(35757,plain,
% 14.78/10.49 (~m_main_v_request(s326)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35756, 35748, 35633])).
% 14.78/10.49 tff(35758,plain,
% 14.78/10.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s326) | (~node4(s326)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s326) | (~node4(s326)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35759,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s326) | (~node4(s326)))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35760,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s326) | (~node4(s326))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35759, 35758])).
% 14.78/10.49 tff(35761,plain,
% 14.78/10.49 (~node4(s326)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35760, 21, 35757])).
% 14.78/10.49 tff(35762,plain,
% 14.78/10.49 (node4(s326) | (~until5(s326))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28318, 294, 35653])).
% 14.78/10.49 tff(35763,plain,
% 14.78/10.49 (~until5(s326)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35762, 35761])).
% 14.78/10.49 tff(35764,plain,
% 14.78/10.49 (~xuntil6(s325)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28307, 35763])).
% 14.78/10.49 tff(35765,assumption,(~xuntil6(s325)), introduced(assumption)).
% 14.78/10.49 tff(35766,assumption,(until5(s324)), introduced(assumption)).
% 14.78/10.49 tff(35767,assumption,(~always3(s325)), introduced(assumption)).
% 14.78/10.49 tff(35768,plain,
% 14.78/10.49 (~always3(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27810, 35767])).
% 14.78/10.49 tff(35769,plain,
% 14.78/10.49 (~node4(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28277, 36, 35768])).
% 14.78/10.49 tff(35770,plain,
% 14.78/10.49 (xuntil6(s324) | node4(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28284, 294, 35766])).
% 14.78/10.49 tff(35771,plain,
% 14.78/10.49 (xuntil6(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35770, 35769])).
% 14.78/10.49 tff(35772,plain,
% 14.78/10.49 (until5(s325)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28290, 35771])).
% 14.78/10.49 tff(35773,plain,
% 14.78/10.49 (node4(s325) | (~until5(s325))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28301, 294, 35765])).
% 14.78/10.49 tff(35774,plain,
% 14.78/10.49 (node4(s325)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35773, 35772])).
% 14.78/10.49 tff(35775,plain,
% 14.78/10.49 ($false),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28294, 36, 35767, 35774])).
% 14.78/10.49 tff(35776,plain,(always3(s325) | xuntil6(s325) | (~until5(s324))), inference(lemma,lemma(discharge,[]))).
% 14.78/10.49 tff(35777,plain,
% 14.78/10.49 (always3(s325)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35776, 35766, 35765])).
% 14.78/10.49 tff(35778,plain,
% 14.78/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s325)) | (~m_main_v_state(s325, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s325)) | (~m_main_v_state(s325, c_busy)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35779,plain,
% 14.78/10.49 (((~m_main_v_state(s325, c_busy)) | (~always3(s325))) <=> ((~always3(s325)) | (~m_main_v_state(s325, c_busy)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35780,plain,
% 14.78/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s325, c_busy)) | (~always3(s325)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s325)) | (~m_main_v_state(s325, c_busy))))),
% 14.78/10.49 inference(monotonicity,[status(thm)],[35779])).
% 14.78/10.49 tff(35781,plain,
% 14.78/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s325, c_busy)) | (~always3(s325)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s325)) | (~m_main_v_state(s325, c_busy)))),
% 14.78/10.49 inference(transitivity,[status(thm)],[35780, 35778])).
% 14.78/10.49 tff(35782,plain,
% 14.78/10.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s325, c_busy)) | (~always3(s325)))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35783,plain,
% 14.78/10.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s325)) | (~m_main_v_state(s325, c_busy))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35782, 35781])).
% 14.78/10.49 tff(35784,plain,
% 14.78/10.49 (~m_main_v_state(s325, c_busy)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35783, 85, 35777])).
% 14.78/10.49 tff(35785,plain,
% 14.78/10.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s325, c_busy) | m_main_v_state(s325, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s325, c_busy) | m_main_v_state(s325, c_ready))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35786,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s325, c_busy) | m_main_v_state(s325, c_ready))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35787,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s325, c_busy) | m_main_v_state(s325, c_ready)),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35786, 35785])).
% 14.78/10.49 tff(35788,plain,
% 14.78/10.49 (m_main_v_state(s325, c_ready)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35787, 102, 35784])).
% 14.78/10.49 tff(35789,plain,
% 14.78/10.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s325, s326)) | node2(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s325, s326)) | node2(s325, s326))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35790,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s325, s326)) | node2(s325, s326))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35791,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s325, s326)) | node2(s325, s326)),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35790, 35789])).
% 14.78/10.49 tff(35792,plain,
% 14.78/10.49 (node2(s325, s326)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35791, 7, 27794])).
% 14.78/10.49 tff(35793,plain,
% 14.78/10.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s325, c_ready)) | (~node2(s325, s326)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s325, c_ready)) | (~node2(s325, s326)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35794,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s325, c_ready)) | (~node2(s325, s326)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325)))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35795,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s325, c_ready)) | (~node2(s325, s326)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35794, 35793])).
% 14.78/10.49 tff(35796,plain,
% 14.78/10.49 ((~m_main_v_state(s325, c_ready)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35795, 73, 35792])).
% 14.78/10.49 tff(35797,plain,
% 14.78/10.49 (~m_main_v_request(s325)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35796, 35788, 35742])).
% 14.78/10.49 tff(35798,plain,
% 14.78/10.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s325) | (~node4(s325)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s325) | (~node4(s325)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35799,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s325) | (~node4(s325)))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35800,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s325) | (~node4(s325))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35799, 35798])).
% 14.78/10.49 tff(35801,plain,
% 14.78/10.49 (~node4(s325)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35800, 21, 35797])).
% 14.78/10.49 tff(35802,plain,
% 14.78/10.49 (~until5(s325)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35773, 35801])).
% 14.78/10.49 tff(35803,plain,
% 14.78/10.49 (~xuntil6(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28290, 35802])).
% 14.78/10.49 tff(35804,plain,
% 14.78/10.49 (node4(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35770, 35803])).
% 14.78/10.49 tff(35805,plain,
% 14.78/10.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s324) | (~node4(s324)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s324) | (~node4(s324)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35806,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s324) | (~node4(s324)))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35807,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s324) | (~node4(s324))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35806, 35805])).
% 14.78/10.49 tff(35808,plain,
% 14.78/10.49 (m_main_v_request(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35807, 21, 35804])).
% 14.78/10.49 tff(35809,plain,
% 14.78/10.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s324, s325)) | node2(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s324, s325)) | node2(s324, s325))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35810,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s324, s325)) | node2(s324, s325))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35811,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s324, s325)) | node2(s324, s325)),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35810, 35809])).
% 14.78/10.49 tff(35812,plain,
% 14.78/10.49 (node2(s324, s325)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35811, 7, 27806])).
% 14.78/10.49 tff(35813,plain,
% 14.78/10.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s324, c_ready)) | (~node2(s324, s325)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s324, c_ready)) | (~node2(s324, s325)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35814,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s324, c_ready)) | (~node2(s324, s325)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324)))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35815,plain,
% 14.78/10.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s324, c_ready)) | (~node2(s324, s325)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35814, 35813])).
% 14.78/10.49 tff(35816,plain,
% 14.78/10.49 ((~m_main_v_state(s324, c_ready)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35815, 73, 35812])).
% 14.78/10.49 tff(35817,plain,
% 14.78/10.49 (~m_main_v_state(s324, c_ready)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35816, 35808, 35784])).
% 14.78/10.49 tff(35818,assumption,(~m_main_v_state(s324, c_ready)), introduced(assumption)).
% 14.78/10.49 tff(35819,assumption,(~m_main_v_state(s324, c_busy)), introduced(assumption)).
% 14.78/10.49 tff(35820,plain,
% 14.78/10.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s324, c_busy) | m_main_v_state(s324, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s324, c_busy) | m_main_v_state(s324, c_ready))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35821,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s324, c_busy) | m_main_v_state(s324, c_ready))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35822,plain,
% 14.78/10.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s324, c_busy) | m_main_v_state(s324, c_ready)),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35821, 35820])).
% 14.78/10.49 tff(35823,plain,
% 14.78/10.49 ($false),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35822, 102, 35819, 35818])).
% 14.78/10.49 tff(35824,plain,(m_main_v_state(s324, c_ready) | m_main_v_state(s324, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.78/10.49 tff(35825,plain,
% 14.78/10.49 (m_main_v_state(s324, c_busy)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35824, 35817])).
% 14.78/10.49 tff(35826,plain,
% 14.78/10.49 (always3(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28277, 36, 35804])).
% 14.78/10.49 tff(35827,plain,
% 14.78/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s324)) | (~m_main_v_state(s324, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s324)) | (~m_main_v_state(s324, c_busy)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35828,plain,
% 14.78/10.49 (((~m_main_v_state(s324, c_busy)) | (~always3(s324))) <=> ((~always3(s324)) | (~m_main_v_state(s324, c_busy)))),
% 14.78/10.49 inference(rewrite,[status(thm)],[])).
% 14.78/10.49 tff(35829,plain,
% 14.78/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s324, c_busy)) | (~always3(s324)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s324)) | (~m_main_v_state(s324, c_busy))))),
% 14.78/10.49 inference(monotonicity,[status(thm)],[35828])).
% 14.78/10.49 tff(35830,plain,
% 14.78/10.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s324, c_busy)) | (~always3(s324)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s324)) | (~m_main_v_state(s324, c_busy)))),
% 14.78/10.49 inference(transitivity,[status(thm)],[35829, 35827])).
% 14.78/10.49 tff(35831,plain,
% 14.78/10.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s324, c_busy)) | (~always3(s324)))),
% 14.78/10.49 inference(quant_inst,[status(thm)],[])).
% 14.78/10.49 tff(35832,plain,
% 14.78/10.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s324)) | (~m_main_v_state(s324, c_busy))),
% 14.78/10.49 inference(modus_ponens,[status(thm)],[35831, 35830])).
% 14.78/10.49 tff(35833,plain,
% 14.78/10.49 ($false),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35832, 85, 35826, 35825])).
% 14.78/10.49 tff(35834,plain,((~until5(s324)) | xuntil6(s325) | m_main_v_state(s326, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.78/10.49 tff(35835,plain,
% 14.78/10.49 (~until5(s324)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35834, 35764, 35740])).
% 14.78/10.49 tff(35836,plain,
% 14.78/10.49 (~xuntil6(s323)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28273, 35835])).
% 14.78/10.49 tff(35837,assumption,(~always3(s323)), introduced(assumption)).
% 14.78/10.49 tff(35838,plain,
% 14.78/10.49 (~always3(s322)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27834, 35837])).
% 14.78/10.49 tff(35839,plain,
% 14.78/10.49 (~node4(s322)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28243, 36, 35838])).
% 14.78/10.49 tff(35840,plain,
% 14.78/10.49 (~node4(s323)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28260, 36, 35837])).
% 14.78/10.49 tff(35841,assumption,(~xuntil6(s323)), introduced(assumption)).
% 14.78/10.49 tff(35842,plain,
% 14.78/10.49 (node4(s323) | (~until5(s323))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28267, 294, 35841])).
% 14.78/10.49 tff(35843,plain,
% 14.78/10.49 (~until5(s323)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35842, 35840])).
% 14.78/10.49 tff(35844,plain,
% 14.78/10.49 (~xuntil6(s322)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28256, 35843])).
% 14.78/10.49 tff(35845,plain,
% 14.78/10.49 (~until5(s322)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28250, 294, 35844, 35839])).
% 14.78/10.49 tff(35846,plain,
% 14.78/10.49 (~xuntil6(s321)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28239, 35845])).
% 14.78/10.49 tff(35847,plain,
% 14.78/10.49 (~always3(s321)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27846, 35838])).
% 14.78/10.49 tff(35848,plain,
% 14.78/10.49 (~node4(s321)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28226, 36, 35847])).
% 14.78/10.49 tff(35849,plain,
% 14.78/10.49 (xuntil6(s321) | (~until5(s321))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28233, 294, 35848])).
% 14.78/10.49 tff(35850,plain,
% 14.78/10.49 (~until5(s321)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35849, 35846])).
% 14.78/10.49 tff(35851,plain,
% 14.78/10.49 (~xuntil6(s320)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28222, 35850])).
% 14.78/10.49 tff(35852,plain,
% 14.78/10.49 (~always3(s320)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27858, 35847])).
% 14.78/10.49 tff(35853,plain,
% 14.78/10.49 (~node4(s320)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28209, 36, 35852])).
% 14.78/10.49 tff(35854,plain,
% 14.78/10.49 (xuntil6(s320) | (~until5(s320))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28216, 294, 35853])).
% 14.78/10.49 tff(35855,plain,
% 14.78/10.49 (~until5(s320)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35854, 35851])).
% 14.78/10.49 tff(35856,plain,
% 14.78/10.49 (~xuntil6(s319)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28205, 35855])).
% 14.78/10.49 tff(35857,plain,
% 14.78/10.49 (~always3(s319)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27870, 35852])).
% 14.78/10.49 tff(35858,plain,
% 14.78/10.49 (~node4(s319)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28192, 36, 35857])).
% 14.78/10.49 tff(35859,plain,
% 14.78/10.49 (xuntil6(s319) | (~until5(s319))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28199, 294, 35858])).
% 14.78/10.49 tff(35860,plain,
% 14.78/10.49 (~until5(s319)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35859, 35856])).
% 14.78/10.49 tff(35861,plain,
% 14.78/10.49 (~xuntil6(s318)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28188, 35860])).
% 14.78/10.49 tff(35862,plain,
% 14.78/10.49 (~always3(s318)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27882, 35857])).
% 14.78/10.49 tff(35863,plain,
% 14.78/10.49 (~node4(s318)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28175, 36, 35862])).
% 14.78/10.49 tff(35864,plain,
% 14.78/10.49 (xuntil6(s318) | (~until5(s318))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28182, 294, 35863])).
% 14.78/10.49 tff(35865,plain,
% 14.78/10.49 (~until5(s318)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35864, 35861])).
% 14.78/10.49 tff(35866,plain,
% 14.78/10.49 (~xuntil6(s317)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28171, 35865])).
% 14.78/10.49 tff(35867,plain,
% 14.78/10.49 (~always3(s317)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27894, 35862])).
% 14.78/10.49 tff(35868,plain,
% 14.78/10.49 (~always3(s316)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27906, 35867])).
% 14.78/10.49 tff(35869,plain,
% 14.78/10.49 (~always3(s315)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27918, 35868])).
% 14.78/10.49 tff(35870,plain,
% 14.78/10.49 (~always3(s314)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27930, 35869])).
% 14.78/10.49 tff(35871,plain,
% 14.78/10.49 (~always3(s313)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27942, 35870])).
% 14.78/10.49 tff(35872,plain,
% 14.78/10.49 (~always3(s312)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27954, 35871])).
% 14.78/10.49 tff(35873,plain,
% 14.78/10.49 (~node4(s312)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28073, 36, 35872])).
% 14.78/10.49 tff(35874,plain,
% 14.78/10.49 (~always3(s311)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[27966, 35872])).
% 14.78/10.49 tff(35875,plain,
% 14.78/10.49 (~node4(s311)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28056, 36, 35874])).
% 14.78/10.49 tff(35876,plain,
% 14.78/10.49 (xuntil6(s311)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[34734, 35875])).
% 14.78/10.49 tff(35877,plain,
% 14.78/10.49 (until5(s312)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28069, 35876])).
% 14.78/10.49 tff(35878,plain,
% 14.78/10.49 (xuntil6(s312)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28080, 294, 35877, 35873])).
% 14.78/10.49 tff(35879,plain,
% 14.78/10.49 (until5(s313)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28086, 35878])).
% 14.78/10.49 tff(35880,plain,
% 14.78/10.49 (~node4(s313)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28090, 36, 35871])).
% 14.78/10.49 tff(35881,plain,
% 14.78/10.49 (xuntil6(s313) | (~until5(s313))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28097, 294, 35880])).
% 14.78/10.49 tff(35882,plain,
% 14.78/10.49 (xuntil6(s313)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35881, 35879])).
% 14.78/10.49 tff(35883,plain,
% 14.78/10.49 (until5(s314)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28103, 35882])).
% 14.78/10.49 tff(35884,plain,
% 14.78/10.49 (~node4(s314)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28107, 36, 35870])).
% 14.78/10.49 tff(35885,plain,
% 14.78/10.49 (xuntil6(s314) | (~until5(s314))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28114, 294, 35884])).
% 14.78/10.49 tff(35886,plain,
% 14.78/10.49 (xuntil6(s314)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35885, 35883])).
% 14.78/10.49 tff(35887,plain,
% 14.78/10.49 (until5(s315)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28120, 35886])).
% 14.78/10.49 tff(35888,plain,
% 14.78/10.49 (~node4(s315)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28124, 36, 35869])).
% 14.78/10.49 tff(35889,plain,
% 14.78/10.49 (xuntil6(s315) | (~until5(s315))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28131, 294, 35888])).
% 14.78/10.49 tff(35890,plain,
% 14.78/10.49 (xuntil6(s315)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35889, 35887])).
% 14.78/10.49 tff(35891,plain,
% 14.78/10.49 (until5(s316)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28137, 35890])).
% 14.78/10.49 tff(35892,plain,
% 14.78/10.49 (~node4(s316)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28141, 36, 35868])).
% 14.78/10.49 tff(35893,plain,
% 14.78/10.49 (xuntil6(s316) | (~until5(s316))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28148, 294, 35892])).
% 14.78/10.49 tff(35894,plain,
% 14.78/10.49 (xuntil6(s316)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35893, 35891])).
% 14.78/10.49 tff(35895,plain,
% 14.78/10.49 (until5(s317)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28154, 35894])).
% 14.78/10.49 tff(35896,plain,
% 14.78/10.49 (~node4(s317)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28158, 36, 35867])).
% 14.78/10.49 tff(35897,plain,
% 14.78/10.49 (xuntil6(s317) | (~until5(s317))),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[28165, 294, 35896])).
% 14.78/10.49 tff(35898,plain,
% 14.78/10.49 ($false),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35897, 35895, 35866])).
% 14.78/10.49 tff(35899,plain,(always3(s323) | (~until5(s311)) | xuntil6(s323)), inference(lemma,lemma(discharge,[]))).
% 14.78/10.49 tff(35900,plain,
% 14.78/10.49 (always3(s323)),
% 14.78/10.49 inference(unit_resolution,[status(thm)],[35899, 34705, 35836])).
% 14.78/10.50 tff(35901,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s323)) | (~m_main_v_state(s323, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s323)) | (~m_main_v_state(s323, c_busy)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35902,plain,
% 14.78/10.50 (((~m_main_v_state(s323, c_busy)) | (~always3(s323))) <=> ((~always3(s323)) | (~m_main_v_state(s323, c_busy)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35903,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s323, c_busy)) | (~always3(s323)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s323)) | (~m_main_v_state(s323, c_busy))))),
% 14.78/10.50 inference(monotonicity,[status(thm)],[35902])).
% 14.78/10.50 tff(35904,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s323, c_busy)) | (~always3(s323)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s323)) | (~m_main_v_state(s323, c_busy)))),
% 14.78/10.50 inference(transitivity,[status(thm)],[35903, 35901])).
% 14.78/10.50 tff(35905,plain,
% 14.78/10.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s323, c_busy)) | (~always3(s323)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35906,plain,
% 14.78/10.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s323)) | (~m_main_v_state(s323, c_busy))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35905, 35904])).
% 14.78/10.50 tff(35907,plain,
% 14.78/10.50 (~m_main_v_state(s323, c_busy)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35906, 85, 35900])).
% 14.78/10.50 tff(35908,plain,
% 14.78/10.50 (always3(s324)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27822, 35900])).
% 14.78/10.50 tff(35909,plain,
% 14.78/10.50 (~m_main_v_state(s324, c_busy)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35832, 85, 35908])).
% 14.78/10.50 tff(35910,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35911,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35912,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready)),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35911, 35910])).
% 14.78/10.50 tff(35913,plain,
% 14.78/10.50 (m_main_v_state(s323, c_ready)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35912, 102, 35907])).
% 14.78/10.50 tff(35914,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s323, s324)) | node2(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s323, s324)) | node2(s323, s324))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35915,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s323, s324)) | node2(s323, s324))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35916,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s323, s324)) | node2(s323, s324)),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35915, 35914])).
% 14.78/10.50 tff(35917,plain,
% 14.78/10.50 (node2(s323, s324)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35916, 7, 27818])).
% 14.78/10.50 tff(35918,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s323, c_ready)) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s323, c_ready)) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35919,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s323, c_ready)) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35920,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s323, c_ready)) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35919, 35918])).
% 14.78/10.50 tff(35921,plain,
% 14.78/10.50 ((~m_main_v_state(s323, c_ready)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35920, 73, 35917])).
% 14.78/10.50 tff(35922,plain,
% 14.78/10.50 (~m_main_v_request(s323)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35921, 35913, 35909])).
% 14.78/10.50 tff(35923,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s323) | (~node4(s323)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s323) | (~node4(s323)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35924,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s323) | (~node4(s323)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35925,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s323) | (~node4(s323))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35924, 35923])).
% 14.78/10.50 tff(35926,plain,
% 14.78/10.50 (~node4(s323)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35925, 21, 35922])).
% 14.78/10.50 tff(35927,plain,
% 14.78/10.50 (node4(s323) | (~until5(s323))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28267, 294, 35836])).
% 14.78/10.50 tff(35928,plain,
% 14.78/10.50 (~until5(s323)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35927, 35926])).
% 14.78/10.50 tff(35929,plain,
% 14.78/10.50 (~xuntil6(s322)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28256, 35928])).
% 14.78/10.50 tff(35930,assumption,(~xuntil6(s322)), introduced(assumption)).
% 14.78/10.50 tff(35931,assumption,(until5(s321)), introduced(assumption)).
% 14.78/10.50 tff(35932,assumption,(~always3(s322)), introduced(assumption)).
% 14.78/10.50 tff(35933,plain,
% 14.78/10.50 (~always3(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27846, 35932])).
% 14.78/10.50 tff(35934,plain,
% 14.78/10.50 (~node4(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28226, 36, 35933])).
% 14.78/10.50 tff(35935,plain,
% 14.78/10.50 (xuntil6(s321) | node4(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28233, 294, 35931])).
% 14.78/10.50 tff(35936,plain,
% 14.78/10.50 (xuntil6(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35935, 35934])).
% 14.78/10.50 tff(35937,plain,
% 14.78/10.50 (until5(s322)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28239, 35936])).
% 14.78/10.50 tff(35938,plain,
% 14.78/10.50 (node4(s322) | (~until5(s322))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28250, 294, 35930])).
% 14.78/10.50 tff(35939,plain,
% 14.78/10.50 (node4(s322)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35938, 35937])).
% 14.78/10.50 tff(35940,plain,
% 14.78/10.50 ($false),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28243, 36, 35932, 35939])).
% 14.78/10.50 tff(35941,plain,(always3(s322) | xuntil6(s322) | (~until5(s321))), inference(lemma,lemma(discharge,[]))).
% 14.78/10.50 tff(35942,plain,
% 14.78/10.50 (always3(s322)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35941, 35931, 35930])).
% 14.78/10.50 tff(35943,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s322)) | (~m_main_v_state(s322, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s322)) | (~m_main_v_state(s322, c_busy)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35944,plain,
% 14.78/10.50 (((~m_main_v_state(s322, c_busy)) | (~always3(s322))) <=> ((~always3(s322)) | (~m_main_v_state(s322, c_busy)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35945,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s322, c_busy)) | (~always3(s322)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s322)) | (~m_main_v_state(s322, c_busy))))),
% 14.78/10.50 inference(monotonicity,[status(thm)],[35944])).
% 14.78/10.50 tff(35946,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s322, c_busy)) | (~always3(s322)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s322)) | (~m_main_v_state(s322, c_busy)))),
% 14.78/10.50 inference(transitivity,[status(thm)],[35945, 35943])).
% 14.78/10.50 tff(35947,plain,
% 14.78/10.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s322, c_busy)) | (~always3(s322)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35948,plain,
% 14.78/10.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s322)) | (~m_main_v_state(s322, c_busy))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35947, 35946])).
% 14.78/10.50 tff(35949,plain,
% 14.78/10.50 (~m_main_v_state(s322, c_busy)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35948, 85, 35942])).
% 14.78/10.50 tff(35950,assumption,(~m_main_v_state(s323, c_busy)), introduced(assumption)).
% 14.78/10.50 tff(35951,assumption,(~m_main_v_state(s322, c_busy)), introduced(assumption)).
% 14.78/10.50 tff(35952,assumption,(~m_main_v_state(s322, c_ready)), introduced(assumption)).
% 14.78/10.50 tff(35953,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s321, s322)) | node2(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s321, s322)) | node2(s321, s322))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35954,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s321, s322)) | node2(s321, s322))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35955,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s321, s322)) | node2(s321, s322)),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35954, 35953])).
% 14.78/10.50 tff(35956,plain,
% 14.78/10.50 (node2(s321, s322)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35955, 7, 27842])).
% 14.78/10.50 tff(35957,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, 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(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35958,plain,
% 14.78/10.50 ((node1(s321) | m_main_v_state(s322, c_ready) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy)) <=> ((~node2(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35959,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s321) | m_main_v_state(s322, c_ready) | (~node2(s321, s322)) | m_main_v_state(s322, 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(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready)))),
% 14.78/10.50 inference(monotonicity,[status(thm)],[35958])).
% 14.78/10.50 tff(35960,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s321) | m_main_v_state(s322, c_ready) | (~node2(s321, s322)) | m_main_v_state(s322, 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(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready))),
% 14.78/10.50 inference(transitivity,[status(thm)],[35959, 35957])).
% 14.78/10.50 tff(35961,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s321) | m_main_v_state(s322, c_ready) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35962,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready)),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35961, 35960])).
% 14.78/10.50 tff(35963,plain,
% 14.78/10.50 (m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35962, 3551, 35956])).
% 14.78/10.50 tff(35964,plain,
% 14.78/10.50 (node1(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35963, 35951, 35952])).
% 14.78/10.50 tff(35965,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s321, c_ready) | (~node1(s321)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s321, c_ready) | (~node1(s321)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35966,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s321, c_ready) | (~node1(s321)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35967,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s321, c_ready) | (~node1(s321))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35966, 35965])).
% 14.78/10.50 tff(35968,plain,
% 14.78/10.50 (m_main_v_state(s321, c_ready)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35967, 3581, 35964])).
% 14.78/10.50 tff(35969,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s321) | (~node1(s321)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s321) | (~node1(s321)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35970,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s321) | (~node1(s321)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35971,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s321) | (~node1(s321))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35970, 35969])).
% 14.78/10.50 tff(35972,plain,
% 14.78/10.50 (m_main_v_request(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35971, 3568, 35964])).
% 14.78/10.50 tff(35973,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s321, c_ready)) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s321, c_ready)) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35974,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s321, c_ready)) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35975,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s321, c_ready)) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35974, 35973])).
% 14.78/10.50 tff(35976,plain,
% 14.78/10.50 ((~m_main_v_state(s321, c_ready)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35975, 73, 35956])).
% 14.78/10.50 tff(35977,plain,
% 14.78/10.50 ($false),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35976, 35972, 35968, 35951])).
% 14.78/10.50 tff(35978,plain,(m_main_v_state(s322, c_busy) | m_main_v_state(s322, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.78/10.50 tff(35979,plain,
% 14.78/10.50 (m_main_v_state(s322, c_ready)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35978, 35949])).
% 14.78/10.50 tff(35980,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s322, s323)) | node2(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s322, s323)) | node2(s322, s323))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35981,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s322, s323)) | node2(s322, s323))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35982,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s322, s323)) | node2(s322, s323)),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35981, 35980])).
% 14.78/10.50 tff(35983,plain,
% 14.78/10.50 (node2(s322, s323)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35982, 7, 27830])).
% 14.78/10.50 tff(35984,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s322, c_ready)) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s322, c_ready)) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35985,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s322, c_ready)) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35986,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s322, c_ready)) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35985, 35984])).
% 14.78/10.50 tff(35987,plain,
% 14.78/10.50 ((~m_main_v_state(s322, c_ready)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35986, 73, 35983])).
% 14.78/10.50 tff(35988,plain,
% 14.78/10.50 (~m_main_v_request(s322)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35987, 35979, 35950])).
% 14.78/10.50 tff(35989,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s322) | (~node4(s322)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s322) | (~node4(s322)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35990,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s322) | (~node4(s322)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35991,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s322) | (~node4(s322))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35990, 35989])).
% 14.78/10.50 tff(35992,plain,
% 14.78/10.50 (~node4(s322)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35991, 21, 35988])).
% 14.78/10.50 tff(35993,plain,
% 14.78/10.50 (~until5(s322)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35938, 35992])).
% 14.78/10.50 tff(35994,plain,
% 14.78/10.50 (~xuntil6(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28239, 35993])).
% 14.78/10.50 tff(35995,plain,
% 14.78/10.50 (node4(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35935, 35994])).
% 14.78/10.50 tff(35996,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s321) | (~node4(s321)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s321) | (~node4(s321)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(35997,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s321) | (~node4(s321)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(35998,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s321) | (~node4(s321))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[35997, 35996])).
% 14.78/10.50 tff(35999,plain,
% 14.78/10.50 (m_main_v_request(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35998, 21, 35995])).
% 14.78/10.50 tff(36000,plain,
% 14.78/10.50 (~m_main_v_state(s321, c_ready)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[35976, 35999, 35949])).
% 14.78/10.50 tff(36001,plain,
% 14.78/10.50 (always3(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28226, 36, 35995])).
% 14.78/10.50 tff(36002,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s321)) | (~m_main_v_state(s321, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s321)) | (~m_main_v_state(s321, c_busy)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(36003,plain,
% 14.78/10.50 (((~m_main_v_state(s321, c_busy)) | (~always3(s321))) <=> ((~always3(s321)) | (~m_main_v_state(s321, c_busy)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(36004,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s321, c_busy)) | (~always3(s321)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s321)) | (~m_main_v_state(s321, c_busy))))),
% 14.78/10.50 inference(monotonicity,[status(thm)],[36003])).
% 14.78/10.50 tff(36005,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s321, c_busy)) | (~always3(s321)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s321)) | (~m_main_v_state(s321, c_busy)))),
% 14.78/10.50 inference(transitivity,[status(thm)],[36004, 36002])).
% 14.78/10.50 tff(36006,plain,
% 14.78/10.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s321, c_busy)) | (~always3(s321)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(36007,plain,
% 14.78/10.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s321)) | (~m_main_v_state(s321, c_busy))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[36006, 36005])).
% 14.78/10.50 tff(36008,plain,
% 14.78/10.50 (~m_main_v_state(s321, c_busy)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36007, 85, 36001])).
% 14.78/10.50 tff(36009,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(36010,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(36011,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready)),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[36010, 36009])).
% 14.78/10.50 tff(36012,plain,
% 14.78/10.50 ($false),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36011, 102, 36008, 36000])).
% 14.78/10.50 tff(36013,plain,((~until5(s321)) | xuntil6(s322) | m_main_v_state(s323, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.78/10.50 tff(36014,plain,
% 14.78/10.50 (~until5(s321)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36013, 35929, 35907])).
% 14.78/10.50 tff(36015,plain,
% 14.78/10.50 (~xuntil6(s320)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28222, 36014])).
% 14.78/10.50 tff(36016,assumption,(~always3(s320)), introduced(assumption)).
% 14.78/10.50 tff(36017,plain,
% 14.78/10.50 (~always3(s319)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27870, 36016])).
% 14.78/10.50 tff(36018,plain,
% 14.78/10.50 (~node4(s319)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28192, 36, 36017])).
% 14.78/10.50 tff(36019,plain,
% 14.78/10.50 (~node4(s320)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28209, 36, 36016])).
% 14.78/10.50 tff(36020,assumption,(~xuntil6(s320)), introduced(assumption)).
% 14.78/10.50 tff(36021,plain,
% 14.78/10.50 (node4(s320) | (~until5(s320))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28216, 294, 36020])).
% 14.78/10.50 tff(36022,plain,
% 14.78/10.50 (~until5(s320)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36021, 36019])).
% 14.78/10.50 tff(36023,plain,
% 14.78/10.50 (~xuntil6(s319)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28205, 36022])).
% 14.78/10.50 tff(36024,plain,
% 14.78/10.50 (~until5(s319)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28199, 294, 36023, 36018])).
% 14.78/10.50 tff(36025,plain,
% 14.78/10.50 (~xuntil6(s318)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28188, 36024])).
% 14.78/10.50 tff(36026,plain,
% 14.78/10.50 (~always3(s318)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27882, 36017])).
% 14.78/10.50 tff(36027,plain,
% 14.78/10.50 (~node4(s318)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28175, 36, 36026])).
% 14.78/10.50 tff(36028,plain,
% 14.78/10.50 (xuntil6(s318) | (~until5(s318))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28182, 294, 36027])).
% 14.78/10.50 tff(36029,plain,
% 14.78/10.50 (~until5(s318)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36028, 36025])).
% 14.78/10.50 tff(36030,plain,
% 14.78/10.50 (~xuntil6(s317)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28171, 36029])).
% 14.78/10.50 tff(36031,plain,
% 14.78/10.50 (~always3(s317)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27894, 36026])).
% 14.78/10.50 tff(36032,plain,
% 14.78/10.50 (~node4(s317)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28158, 36, 36031])).
% 14.78/10.50 tff(36033,plain,
% 14.78/10.50 (xuntil6(s317) | (~until5(s317))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28165, 294, 36032])).
% 14.78/10.50 tff(36034,plain,
% 14.78/10.50 (~until5(s317)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36033, 36030])).
% 14.78/10.50 tff(36035,plain,
% 14.78/10.50 (~xuntil6(s316)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28154, 36034])).
% 14.78/10.50 tff(36036,plain,
% 14.78/10.50 (~always3(s316)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27906, 36031])).
% 14.78/10.50 tff(36037,plain,
% 14.78/10.50 (~node4(s316)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28141, 36, 36036])).
% 14.78/10.50 tff(36038,plain,
% 14.78/10.50 (xuntil6(s316) | (~until5(s316))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28148, 294, 36037])).
% 14.78/10.50 tff(36039,plain,
% 14.78/10.50 (~until5(s316)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36038, 36035])).
% 14.78/10.50 tff(36040,plain,
% 14.78/10.50 (~always3(s315)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27918, 36036])).
% 14.78/10.50 tff(36041,plain,
% 14.78/10.50 (~always3(s314)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27930, 36040])).
% 14.78/10.50 tff(36042,plain,
% 14.78/10.50 (~always3(s313)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27942, 36041])).
% 14.78/10.50 tff(36043,plain,
% 14.78/10.50 (~always3(s312)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27954, 36042])).
% 14.78/10.50 tff(36044,plain,
% 14.78/10.50 (~node4(s312)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28073, 36, 36043])).
% 14.78/10.50 tff(36045,plain,
% 14.78/10.50 (~always3(s311)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[27966, 36043])).
% 14.78/10.50 tff(36046,plain,
% 14.78/10.50 (~node4(s311)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28056, 36, 36045])).
% 14.78/10.50 tff(36047,plain,
% 14.78/10.50 (xuntil6(s311)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[34734, 36046])).
% 14.78/10.50 tff(36048,plain,
% 14.78/10.50 (until5(s312)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28069, 36047])).
% 14.78/10.50 tff(36049,plain,
% 14.78/10.50 (xuntil6(s312)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28080, 294, 36048, 36044])).
% 14.78/10.50 tff(36050,plain,
% 14.78/10.50 (until5(s313)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28086, 36049])).
% 14.78/10.50 tff(36051,plain,
% 14.78/10.50 (~node4(s313)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28090, 36, 36042])).
% 14.78/10.50 tff(36052,plain,
% 14.78/10.50 (xuntil6(s313) | (~until5(s313))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28097, 294, 36051])).
% 14.78/10.50 tff(36053,plain,
% 14.78/10.50 (xuntil6(s313)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36052, 36050])).
% 14.78/10.50 tff(36054,plain,
% 14.78/10.50 (until5(s314)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28103, 36053])).
% 14.78/10.50 tff(36055,plain,
% 14.78/10.50 (~node4(s314)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28107, 36, 36041])).
% 14.78/10.50 tff(36056,plain,
% 14.78/10.50 (xuntil6(s314) | (~until5(s314))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28114, 294, 36055])).
% 14.78/10.50 tff(36057,plain,
% 14.78/10.50 (xuntil6(s314)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36056, 36054])).
% 14.78/10.50 tff(36058,plain,
% 14.78/10.50 (until5(s315)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28120, 36057])).
% 14.78/10.50 tff(36059,plain,
% 14.78/10.50 (~node4(s315)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28124, 36, 36040])).
% 14.78/10.50 tff(36060,plain,
% 14.78/10.50 (xuntil6(s315) | (~until5(s315))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28131, 294, 36059])).
% 14.78/10.50 tff(36061,plain,
% 14.78/10.50 (xuntil6(s315)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36060, 36058])).
% 14.78/10.50 tff(36062,plain,
% 14.78/10.50 ($false),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[28137, 36061, 36039])).
% 14.78/10.50 tff(36063,plain,(always3(s320) | (~until5(s311)) | xuntil6(s320)), inference(lemma,lemma(discharge,[]))).
% 14.78/10.50 tff(36064,plain,
% 14.78/10.50 (always3(s320)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36063, 34705, 36015])).
% 14.78/10.50 tff(36065,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s320)) | (~m_main_v_state(s320, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s320)) | (~m_main_v_state(s320, c_busy)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(36066,plain,
% 14.78/10.50 (((~m_main_v_state(s320, c_busy)) | (~always3(s320))) <=> ((~always3(s320)) | (~m_main_v_state(s320, c_busy)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(36067,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s320, c_busy)) | (~always3(s320)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s320)) | (~m_main_v_state(s320, c_busy))))),
% 14.78/10.50 inference(monotonicity,[status(thm)],[36066])).
% 14.78/10.50 tff(36068,plain,
% 14.78/10.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s320, c_busy)) | (~always3(s320)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s320)) | (~m_main_v_state(s320, c_busy)))),
% 14.78/10.50 inference(transitivity,[status(thm)],[36067, 36065])).
% 14.78/10.50 tff(36069,plain,
% 14.78/10.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s320, c_busy)) | (~always3(s320)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(36070,plain,
% 14.78/10.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s320)) | (~m_main_v_state(s320, c_busy))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[36069, 36068])).
% 14.78/10.50 tff(36071,plain,
% 14.78/10.50 (~m_main_v_state(s320, c_busy)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36070, 85, 36064])).
% 14.78/10.50 tff(36072,assumption,(~m_main_v_state(s320, c_busy)), introduced(assumption)).
% 14.78/10.50 tff(36073,assumption,(node4(s319)), introduced(assumption)).
% 14.78/10.50 tff(36074,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s319) | (~node4(s319)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s319) | (~node4(s319)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(36075,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s319) | (~node4(s319)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(36076,plain,
% 14.78/10.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s319) | (~node4(s319))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[36075, 36074])).
% 14.78/10.50 tff(36077,plain,
% 14.78/10.50 (m_main_v_request(s319)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36076, 21, 36073])).
% 14.78/10.50 tff(36078,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s319, s320)) | node2(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s319, s320)) | node2(s319, s320))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(36079,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s319, s320)) | node2(s319, s320))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(36080,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s319, s320)) | node2(s319, s320)),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[36079, 36078])).
% 14.78/10.50 tff(36081,plain,
% 14.78/10.50 (node2(s319, s320)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36080, 7, 27866])).
% 14.78/10.50 tff(36082,plain,
% 14.78/10.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s319, c_ready)) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s319, c_ready)) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319)))),
% 14.78/10.50 inference(rewrite,[status(thm)],[])).
% 14.78/10.50 tff(36083,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s319, c_ready)) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319)))),
% 14.78/10.50 inference(quant_inst,[status(thm)],[])).
% 14.78/10.50 tff(36084,plain,
% 14.78/10.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s319, c_ready)) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319))),
% 14.78/10.50 inference(modus_ponens,[status(thm)],[36083, 36082])).
% 14.78/10.50 tff(36085,plain,
% 14.78/10.50 ((~m_main_v_state(s319, c_ready)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319))),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36084, 73, 36081])).
% 14.78/10.50 tff(36086,plain,
% 14.78/10.50 (~m_main_v_state(s319, c_ready)),
% 14.78/10.50 inference(unit_resolution,[status(thm)],[36085, 36077, 36072])).
% 14.78/10.50 tff(36087,assumption,(~m_main_v_state(s319, c_ready)), introduced(assumption)).
% 14.78/10.50 tff(36088,assumption,(~m_main_v_state(s319, c_busy)), introduced(assumption)).
% 14.78/10.50 tff(36089,plain,
% 14.78/10.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36090,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36091,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready)),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36090, 36089])).
% 14.80/10.51 tff(36092,plain,
% 14.80/10.51 ($false),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36091, 102, 36088, 36087])).
% 14.80/10.51 tff(36093,plain,(m_main_v_state(s319, c_ready) | m_main_v_state(s319, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.51 tff(36094,plain,
% 14.80/10.51 (m_main_v_state(s319, c_busy)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36093, 36086])).
% 14.80/10.51 tff(36095,plain,
% 14.80/10.51 (always3(s319)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28192, 36, 36073])).
% 14.80/10.51 tff(36096,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s319)) | (~m_main_v_state(s319, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s319)) | (~m_main_v_state(s319, c_busy)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36097,plain,
% 14.80/10.51 (((~m_main_v_state(s319, c_busy)) | (~always3(s319))) <=> ((~always3(s319)) | (~m_main_v_state(s319, c_busy)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36098,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s319, c_busy)) | (~always3(s319)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s319)) | (~m_main_v_state(s319, c_busy))))),
% 14.80/10.51 inference(monotonicity,[status(thm)],[36097])).
% 14.80/10.51 tff(36099,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s319, c_busy)) | (~always3(s319)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s319)) | (~m_main_v_state(s319, c_busy)))),
% 14.80/10.51 inference(transitivity,[status(thm)],[36098, 36096])).
% 14.80/10.51 tff(36100,plain,
% 14.80/10.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s319, c_busy)) | (~always3(s319)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36101,plain,
% 14.80/10.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s319)) | (~m_main_v_state(s319, c_busy))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36100, 36099])).
% 14.80/10.51 tff(36102,plain,
% 14.80/10.51 ($false),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36101, 85, 36095, 36094])).
% 14.80/10.51 tff(36103,plain,((~node4(s319)) | m_main_v_state(s320, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.51 tff(36104,plain,
% 14.80/10.51 (~node4(s319)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36103, 36071])).
% 14.80/10.51 tff(36105,assumption,(~m_main_v_state(s320, c_ready)), introduced(assumption)).
% 14.80/10.51 tff(36106,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s320, c_busy) | m_main_v_state(s320, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s320, c_busy) | m_main_v_state(s320, c_ready))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36107,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s320, c_busy) | m_main_v_state(s320, c_ready))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36108,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s320, c_busy) | m_main_v_state(s320, c_ready)),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36107, 36106])).
% 14.80/10.51 tff(36109,plain,
% 14.80/10.51 ($false),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36108, 102, 36072, 36105])).
% 14.80/10.51 tff(36110,plain,(m_main_v_state(s320, c_ready) | m_main_v_state(s320, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.51 tff(36111,plain,
% 14.80/10.51 (m_main_v_state(s320, c_ready)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36110, 36071])).
% 14.80/10.51 tff(36112,plain,
% 14.80/10.51 (always3(s321)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27858, 36064])).
% 14.80/10.51 tff(36113,plain,
% 14.80/10.51 (~m_main_v_state(s321, c_busy)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36007, 85, 36112])).
% 14.80/10.51 tff(36114,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s320, s321)) | node2(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s320, s321)) | node2(s320, s321))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36115,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s320, s321)) | node2(s320, s321))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36116,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s320, s321)) | node2(s320, s321)),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36115, 36114])).
% 14.80/10.51 tff(36117,plain,
% 14.80/10.51 (node2(s320, s321)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36116, 7, 27854])).
% 14.80/10.51 tff(36118,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s320, c_ready)) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s320, c_ready)) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36119,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s320, c_ready)) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36120,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s320, c_ready)) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36119, 36118])).
% 14.80/10.51 tff(36121,plain,
% 14.80/10.51 ((~m_main_v_state(s320, c_ready)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36120, 73, 36117])).
% 14.80/10.51 tff(36122,plain,
% 14.80/10.51 (~m_main_v_request(s320)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36121, 36113, 36111])).
% 14.80/10.51 tff(36123,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s320) | (~node4(s320)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s320) | (~node4(s320)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36124,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s320) | (~node4(s320)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36125,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s320) | (~node4(s320))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36124, 36123])).
% 14.80/10.51 tff(36126,plain,
% 14.80/10.51 (~node4(s320)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36125, 21, 36122])).
% 14.80/10.51 tff(36127,plain,
% 14.80/10.51 (node4(s320) | (~until5(s320))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28216, 294, 36015])).
% 14.80/10.51 tff(36128,plain,
% 14.80/10.51 (~until5(s320)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36127, 36126])).
% 14.80/10.51 tff(36129,plain,
% 14.80/10.51 (~xuntil6(s319)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28205, 36128])).
% 14.80/10.51 tff(36130,plain,
% 14.80/10.51 (node4(s319) | (~until5(s319))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28199, 294, 36129])).
% 14.80/10.51 tff(36131,plain,
% 14.80/10.51 (~until5(s319)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36130, 36104])).
% 14.80/10.51 tff(36132,plain,
% 14.80/10.51 (~xuntil6(s318)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28188, 36131])).
% 14.80/10.51 tff(36133,assumption,(~always3(s318)), introduced(assumption)).
% 14.80/10.51 tff(36134,plain,
% 14.80/10.51 (~always3(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27894, 36133])).
% 14.80/10.51 tff(36135,plain,
% 14.80/10.51 (~node4(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28158, 36, 36134])).
% 14.80/10.51 tff(36136,plain,
% 14.80/10.51 (~node4(s318)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28175, 36, 36133])).
% 14.80/10.51 tff(36137,assumption,(~xuntil6(s318)), introduced(assumption)).
% 14.80/10.51 tff(36138,plain,
% 14.80/10.51 (node4(s318) | (~until5(s318))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28182, 294, 36137])).
% 14.80/10.51 tff(36139,plain,
% 14.80/10.51 (~until5(s318)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36138, 36136])).
% 14.80/10.51 tff(36140,plain,
% 14.80/10.51 (~xuntil6(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28171, 36139])).
% 14.80/10.51 tff(36141,plain,
% 14.80/10.51 (~until5(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28165, 294, 36140, 36135])).
% 14.80/10.51 tff(36142,plain,
% 14.80/10.51 (~xuntil6(s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28154, 36141])).
% 14.80/10.51 tff(36143,plain,
% 14.80/10.51 (~always3(s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27906, 36134])).
% 14.80/10.51 tff(36144,plain,
% 14.80/10.51 (~node4(s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28141, 36, 36143])).
% 14.80/10.51 tff(36145,plain,
% 14.80/10.51 (xuntil6(s316) | (~until5(s316))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28148, 294, 36144])).
% 14.80/10.51 tff(36146,plain,
% 14.80/10.51 (~until5(s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36145, 36142])).
% 14.80/10.51 tff(36147,plain,
% 14.80/10.51 (~xuntil6(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28137, 36146])).
% 14.80/10.51 tff(36148,plain,
% 14.80/10.51 (~always3(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27918, 36143])).
% 14.80/10.51 tff(36149,plain,
% 14.80/10.51 (~node4(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28124, 36, 36148])).
% 14.80/10.51 tff(36150,plain,
% 14.80/10.51 (xuntil6(s315) | (~until5(s315))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28131, 294, 36149])).
% 14.80/10.51 tff(36151,plain,
% 14.80/10.51 (~until5(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36150, 36147])).
% 14.80/10.51 tff(36152,plain,
% 14.80/10.51 (~always3(s314)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27930, 36148])).
% 14.80/10.51 tff(36153,plain,
% 14.80/10.51 (~always3(s313)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27942, 36152])).
% 14.80/10.51 tff(36154,plain,
% 14.80/10.51 (~always3(s312)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27954, 36153])).
% 14.80/10.51 tff(36155,plain,
% 14.80/10.51 (~node4(s312)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28073, 36, 36154])).
% 14.80/10.51 tff(36156,plain,
% 14.80/10.51 (~always3(s311)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27966, 36154])).
% 14.80/10.51 tff(36157,plain,
% 14.80/10.51 (~node4(s311)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28056, 36, 36156])).
% 14.80/10.51 tff(36158,plain,
% 14.80/10.51 (xuntil6(s311)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[34734, 36157])).
% 14.80/10.51 tff(36159,plain,
% 14.80/10.51 (until5(s312)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28069, 36158])).
% 14.80/10.51 tff(36160,plain,
% 14.80/10.51 (xuntil6(s312)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28080, 294, 36159, 36155])).
% 14.80/10.51 tff(36161,plain,
% 14.80/10.51 (until5(s313)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28086, 36160])).
% 14.80/10.51 tff(36162,plain,
% 14.80/10.51 (~node4(s313)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28090, 36, 36153])).
% 14.80/10.51 tff(36163,plain,
% 14.80/10.51 (xuntil6(s313) | (~until5(s313))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28097, 294, 36162])).
% 14.80/10.51 tff(36164,plain,
% 14.80/10.51 (xuntil6(s313)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36163, 36161])).
% 14.80/10.51 tff(36165,plain,
% 14.80/10.51 (until5(s314)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28103, 36164])).
% 14.80/10.51 tff(36166,plain,
% 14.80/10.51 (~node4(s314)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28107, 36, 36152])).
% 14.80/10.51 tff(36167,plain,
% 14.80/10.51 (xuntil6(s314) | (~until5(s314))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28114, 294, 36166])).
% 14.80/10.51 tff(36168,plain,
% 14.80/10.51 (xuntil6(s314)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36167, 36165])).
% 14.80/10.51 tff(36169,plain,
% 14.80/10.51 ($false),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28120, 36168, 36151])).
% 14.80/10.51 tff(36170,plain,(always3(s318) | (~until5(s311)) | xuntil6(s318)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.51 tff(36171,plain,
% 14.80/10.51 (always3(s318)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36170, 34705, 36132])).
% 14.80/10.51 tff(36172,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s318)) | (~m_main_v_state(s318, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s318)) | (~m_main_v_state(s318, c_busy)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36173,plain,
% 14.80/10.51 (((~m_main_v_state(s318, c_busy)) | (~always3(s318))) <=> ((~always3(s318)) | (~m_main_v_state(s318, c_busy)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36174,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s318, c_busy)) | (~always3(s318)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s318)) | (~m_main_v_state(s318, c_busy))))),
% 14.80/10.51 inference(monotonicity,[status(thm)],[36173])).
% 14.80/10.51 tff(36175,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s318, c_busy)) | (~always3(s318)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s318)) | (~m_main_v_state(s318, c_busy)))),
% 14.80/10.51 inference(transitivity,[status(thm)],[36174, 36172])).
% 14.80/10.51 tff(36176,plain,
% 14.80/10.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s318, c_busy)) | (~always3(s318)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36177,plain,
% 14.80/10.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s318)) | (~m_main_v_state(s318, c_busy))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36176, 36175])).
% 14.80/10.51 tff(36178,plain,
% 14.80/10.51 (~m_main_v_state(s318, c_busy)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36177, 85, 36171])).
% 14.80/10.51 tff(36179,assumption,(~m_main_v_state(s318, c_busy)), introduced(assumption)).
% 14.80/10.51 tff(36180,assumption,(node4(s317)), introduced(assumption)).
% 14.80/10.51 tff(36181,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s317) | (~node4(s317)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s317) | (~node4(s317)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36182,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s317) | (~node4(s317)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36183,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s317) | (~node4(s317))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36182, 36181])).
% 14.80/10.51 tff(36184,plain,
% 14.80/10.51 (m_main_v_request(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36183, 21, 36180])).
% 14.80/10.51 tff(36185,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s317, s318)) | node2(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s317, s318)) | node2(s317, s318))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36186,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s317, s318)) | node2(s317, s318))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36187,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s317, s318)) | node2(s317, s318)),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36186, 36185])).
% 14.80/10.51 tff(36188,plain,
% 14.80/10.51 (node2(s317, s318)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36187, 7, 27890])).
% 14.80/10.51 tff(36189,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s317, c_ready)) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s317, c_ready)) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36190,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s317, c_ready)) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36191,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s317, c_ready)) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36190, 36189])).
% 14.80/10.51 tff(36192,plain,
% 14.80/10.51 ((~m_main_v_state(s317, c_ready)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36191, 73, 36188])).
% 14.80/10.51 tff(36193,plain,
% 14.80/10.51 (~m_main_v_state(s317, c_ready)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36192, 36184, 36179])).
% 14.80/10.51 tff(36194,plain,
% 14.80/10.51 (always3(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28158, 36, 36180])).
% 14.80/10.51 tff(36195,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s317)) | (~m_main_v_state(s317, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s317)) | (~m_main_v_state(s317, c_busy)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36196,plain,
% 14.80/10.51 (((~m_main_v_state(s317, c_busy)) | (~always3(s317))) <=> ((~always3(s317)) | (~m_main_v_state(s317, c_busy)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36197,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s317, c_busy)) | (~always3(s317)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s317)) | (~m_main_v_state(s317, c_busy))))),
% 14.80/10.51 inference(monotonicity,[status(thm)],[36196])).
% 14.80/10.51 tff(36198,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s317, c_busy)) | (~always3(s317)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s317)) | (~m_main_v_state(s317, c_busy)))),
% 14.80/10.51 inference(transitivity,[status(thm)],[36197, 36195])).
% 14.80/10.51 tff(36199,plain,
% 14.80/10.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s317, c_busy)) | (~always3(s317)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36200,plain,
% 14.80/10.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s317)) | (~m_main_v_state(s317, c_busy))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36199, 36198])).
% 14.80/10.51 tff(36201,plain,
% 14.80/10.51 (~m_main_v_state(s317, c_busy)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36200, 85, 36194])).
% 14.80/10.51 tff(36202,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36203,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36204,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready)),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36203, 36202])).
% 14.80/10.51 tff(36205,plain,
% 14.80/10.51 ($false),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36204, 102, 36201, 36193])).
% 14.80/10.51 tff(36206,plain,((~node4(s317)) | m_main_v_state(s318, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.51 tff(36207,plain,
% 14.80/10.51 (~node4(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36206, 36178])).
% 14.80/10.51 tff(36208,plain,
% 14.80/10.51 (always3(s319)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27882, 36171])).
% 14.80/10.51 tff(36209,plain,
% 14.80/10.51 (~m_main_v_state(s319, c_busy)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36101, 85, 36208])).
% 14.80/10.51 tff(36210,assumption,(~m_main_v_state(s318, c_ready)), introduced(assumption)).
% 14.80/10.51 tff(36211,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, 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(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36212,plain,
% 14.80/10.51 ((node1(s317) | m_main_v_state(s318, c_ready) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy)) <=> ((~node2(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36213,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s317) | m_main_v_state(s318, c_ready) | (~node2(s317, s318)) | m_main_v_state(s318, 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(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready)))),
% 14.80/10.51 inference(monotonicity,[status(thm)],[36212])).
% 14.80/10.51 tff(36214,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s317) | m_main_v_state(s318, c_ready) | (~node2(s317, s318)) | m_main_v_state(s318, 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(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready))),
% 14.80/10.51 inference(transitivity,[status(thm)],[36213, 36211])).
% 14.80/10.51 tff(36215,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s317) | m_main_v_state(s318, c_ready) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36216,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready)),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36215, 36214])).
% 14.80/10.51 tff(36217,plain,
% 14.80/10.51 (m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36216, 3551, 36188])).
% 14.80/10.51 tff(36218,plain,
% 14.80/10.51 (node1(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36217, 36179, 36210])).
% 14.80/10.51 tff(36219,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s317, c_ready) | (~node1(s317)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s317, c_ready) | (~node1(s317)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36220,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s317, c_ready) | (~node1(s317)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36221,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s317, c_ready) | (~node1(s317))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36220, 36219])).
% 14.80/10.51 tff(36222,plain,
% 14.80/10.51 (m_main_v_state(s317, c_ready)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36221, 3581, 36218])).
% 14.80/10.51 tff(36223,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s317) | (~node1(s317)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s317) | (~node1(s317)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36224,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s317) | (~node1(s317)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36225,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s317) | (~node1(s317))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36224, 36223])).
% 14.80/10.51 tff(36226,plain,
% 14.80/10.51 (m_main_v_request(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36225, 3568, 36218])).
% 14.80/10.51 tff(36227,plain,
% 14.80/10.51 ($false),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36192, 36226, 36222, 36179])).
% 14.80/10.51 tff(36228,plain,(m_main_v_state(s318, c_busy) | m_main_v_state(s318, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.51 tff(36229,plain,
% 14.80/10.51 (m_main_v_state(s318, c_ready)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36228, 36178])).
% 14.80/10.51 tff(36230,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s318, s319)) | node2(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s318, s319)) | node2(s318, s319))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36231,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s318, s319)) | node2(s318, s319))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36232,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s318, s319)) | node2(s318, s319)),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36231, 36230])).
% 14.80/10.51 tff(36233,plain,
% 14.80/10.51 (node2(s318, s319)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36232, 7, 27878])).
% 14.80/10.51 tff(36234,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s318, c_ready)) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s318, c_ready)) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36235,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s318, c_ready)) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36236,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s318, c_ready)) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36235, 36234])).
% 14.80/10.51 tff(36237,plain,
% 14.80/10.51 ((~m_main_v_state(s318, c_ready)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36236, 73, 36233])).
% 14.80/10.51 tff(36238,plain,
% 14.80/10.51 (~m_main_v_request(s318)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36237, 36229, 36209])).
% 14.80/10.51 tff(36239,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s318) | (~node4(s318)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s318) | (~node4(s318)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36240,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s318) | (~node4(s318)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36241,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s318) | (~node4(s318))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36240, 36239])).
% 14.80/10.51 tff(36242,plain,
% 14.80/10.51 (~node4(s318)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36241, 21, 36238])).
% 14.80/10.51 tff(36243,plain,
% 14.80/10.51 (node4(s318) | (~until5(s318))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28182, 294, 36132])).
% 14.80/10.51 tff(36244,plain,
% 14.80/10.51 (~until5(s318)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36243, 36242])).
% 14.80/10.51 tff(36245,plain,
% 14.80/10.51 (~xuntil6(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28171, 36244])).
% 14.80/10.51 tff(36246,plain,
% 14.80/10.51 (node4(s317) | (~until5(s317))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28165, 294, 36245])).
% 14.80/10.51 tff(36247,plain,
% 14.80/10.51 (~until5(s317)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36246, 36207])).
% 14.80/10.51 tff(36248,plain,
% 14.80/10.51 (~xuntil6(s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28154, 36247])).
% 14.80/10.51 tff(36249,assumption,(~always3(s316)), introduced(assumption)).
% 14.80/10.51 tff(36250,plain,
% 14.80/10.51 (~always3(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27918, 36249])).
% 14.80/10.51 tff(36251,plain,
% 14.80/10.51 (~node4(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28124, 36, 36250])).
% 14.80/10.51 tff(36252,plain,
% 14.80/10.51 (~node4(s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28141, 36, 36249])).
% 14.80/10.51 tff(36253,assumption,(~xuntil6(s316)), introduced(assumption)).
% 14.80/10.51 tff(36254,plain,
% 14.80/10.51 (node4(s316) | (~until5(s316))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28148, 294, 36253])).
% 14.80/10.51 tff(36255,plain,
% 14.80/10.51 (~until5(s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36254, 36252])).
% 14.80/10.51 tff(36256,plain,
% 14.80/10.51 (~xuntil6(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28137, 36255])).
% 14.80/10.51 tff(36257,plain,
% 14.80/10.51 (~until5(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28131, 294, 36256, 36251])).
% 14.80/10.51 tff(36258,plain,
% 14.80/10.51 (~xuntil6(s314)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28120, 36257])).
% 14.80/10.51 tff(36259,plain,
% 14.80/10.51 (~always3(s314)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27930, 36250])).
% 14.80/10.51 tff(36260,plain,
% 14.80/10.51 (~node4(s314)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28107, 36, 36259])).
% 14.80/10.51 tff(36261,plain,
% 14.80/10.51 (xuntil6(s314) | (~until5(s314))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28114, 294, 36260])).
% 14.80/10.51 tff(36262,plain,
% 14.80/10.51 (~until5(s314)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36261, 36258])).
% 14.80/10.51 tff(36263,plain,
% 14.80/10.51 (~always3(s313)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27942, 36259])).
% 14.80/10.51 tff(36264,plain,
% 14.80/10.51 (~always3(s312)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27954, 36263])).
% 14.80/10.51 tff(36265,plain,
% 14.80/10.51 (~node4(s312)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28073, 36, 36264])).
% 14.80/10.51 tff(36266,plain,
% 14.80/10.51 (~always3(s311)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[27966, 36264])).
% 14.80/10.51 tff(36267,plain,
% 14.80/10.51 (~node4(s311)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28056, 36, 36266])).
% 14.80/10.51 tff(36268,plain,
% 14.80/10.51 (xuntil6(s311)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[34734, 36267])).
% 14.80/10.51 tff(36269,plain,
% 14.80/10.51 (until5(s312)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28069, 36268])).
% 14.80/10.51 tff(36270,plain,
% 14.80/10.51 (xuntil6(s312)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28080, 294, 36269, 36265])).
% 14.80/10.51 tff(36271,plain,
% 14.80/10.51 (until5(s313)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28086, 36270])).
% 14.80/10.51 tff(36272,plain,
% 14.80/10.51 (~node4(s313)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28090, 36, 36263])).
% 14.80/10.51 tff(36273,plain,
% 14.80/10.51 (xuntil6(s313) | (~until5(s313))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28097, 294, 36272])).
% 14.80/10.51 tff(36274,plain,
% 14.80/10.51 (xuntil6(s313)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36273, 36271])).
% 14.80/10.51 tff(36275,plain,
% 14.80/10.51 ($false),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[28103, 36274, 36262])).
% 14.80/10.51 tff(36276,plain,(always3(s316) | (~until5(s311)) | xuntil6(s316)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.51 tff(36277,plain,
% 14.80/10.51 (always3(s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36276, 34705, 36248])).
% 14.80/10.51 tff(36278,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s316)) | (~m_main_v_state(s316, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s316)) | (~m_main_v_state(s316, c_busy)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36279,plain,
% 14.80/10.51 (((~m_main_v_state(s316, c_busy)) | (~always3(s316))) <=> ((~always3(s316)) | (~m_main_v_state(s316, c_busy)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36280,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s316, c_busy)) | (~always3(s316)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s316)) | (~m_main_v_state(s316, c_busy))))),
% 14.80/10.51 inference(monotonicity,[status(thm)],[36279])).
% 14.80/10.51 tff(36281,plain,
% 14.80/10.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s316, c_busy)) | (~always3(s316)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s316)) | (~m_main_v_state(s316, c_busy)))),
% 14.80/10.51 inference(transitivity,[status(thm)],[36280, 36278])).
% 14.80/10.51 tff(36282,plain,
% 14.80/10.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s316, c_busy)) | (~always3(s316)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36283,plain,
% 14.80/10.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s316)) | (~m_main_v_state(s316, c_busy))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36282, 36281])).
% 14.80/10.51 tff(36284,plain,
% 14.80/10.51 (~m_main_v_state(s316, c_busy)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36283, 85, 36277])).
% 14.80/10.51 tff(36285,assumption,(~m_main_v_state(s316, c_busy)), introduced(assumption)).
% 14.80/10.51 tff(36286,assumption,(node1(s315)), introduced(assumption)).
% 14.80/10.51 tff(36287,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s315, c_ready) | (~node1(s315)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s315, c_ready) | (~node1(s315)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36288,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s315, c_ready) | (~node1(s315)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36289,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s315, c_ready) | (~node1(s315))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36288, 36287])).
% 14.80/10.51 tff(36290,plain,
% 14.80/10.51 (m_main_v_state(s315, c_ready)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36289, 3581, 36286])).
% 14.80/10.51 tff(36291,plain,
% 14.80/10.51 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s315) | (~node1(s315)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s315) | (~node1(s315)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36292,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s315) | (~node1(s315)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36293,plain,
% 14.80/10.51 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s315) | (~node1(s315))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36292, 36291])).
% 14.80/10.51 tff(36294,plain,
% 14.80/10.51 (m_main_v_request(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36293, 3568, 36286])).
% 14.80/10.51 tff(36295,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s315, s316)) | node2(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s315, s316)) | node2(s315, s316))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36296,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s315, s316)) | node2(s315, s316))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36297,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s315, s316)) | node2(s315, s316)),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36296, 36295])).
% 14.80/10.51 tff(36298,plain,
% 14.80/10.51 (node2(s315, s316)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36297, 7, 27914])).
% 14.80/10.51 tff(36299,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s315, c_ready)) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s315, c_ready)) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315)))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36300,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s315, c_ready)) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315)))),
% 14.80/10.51 inference(quant_inst,[status(thm)],[])).
% 14.80/10.51 tff(36301,plain,
% 14.80/10.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s315, c_ready)) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315))),
% 14.80/10.51 inference(modus_ponens,[status(thm)],[36300, 36299])).
% 14.80/10.51 tff(36302,plain,
% 14.80/10.51 ((~m_main_v_state(s315, c_ready)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315))),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36301, 73, 36298])).
% 14.80/10.51 tff(36303,plain,
% 14.80/10.51 ($false),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36302, 36294, 36290, 36285])).
% 14.80/10.51 tff(36304,plain,((~node1(s315)) | m_main_v_state(s316, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.51 tff(36305,plain,
% 14.80/10.51 (~node1(s315)),
% 14.80/10.51 inference(unit_resolution,[status(thm)],[36304, 36284])).
% 14.80/10.51 tff(36306,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s315, s316)) | m_main_v_state(s316, c_busy) | node1(s315) | m_main_v_state(s316, 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(s315, s316)) | m_main_v_state(s316, c_busy) | node1(s315) | m_main_v_state(s316, c_ready))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36307,plain,
% 14.80/10.51 ((node1(s315) | m_main_v_state(s316, c_ready) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy)) <=> ((~node2(s315, s316)) | m_main_v_state(s316, c_busy) | node1(s315) | m_main_v_state(s316, c_ready))),
% 14.80/10.51 inference(rewrite,[status(thm)],[])).
% 14.80/10.51 tff(36308,plain,
% 14.80/10.51 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s315) | m_main_v_state(s316, c_ready) | (~node2(s315, s316)) | m_main_v_state(s316, 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(s315, s316)) | m_main_v_state(s316, c_busy) | node1(s315) | m_main_v_state(s316, c_ready)))),
% 14.80/10.52 inference(monotonicity,[status(thm)],[36307])).
% 14.80/10.52 tff(36309,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s315) | m_main_v_state(s316, c_ready) | (~node2(s315, s316)) | m_main_v_state(s316, 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(s315, s316)) | m_main_v_state(s316, c_busy) | node1(s315) | m_main_v_state(s316, c_ready))),
% 14.80/10.52 inference(transitivity,[status(thm)],[36308, 36306])).
% 14.80/10.52 tff(36310,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s315) | m_main_v_state(s316, c_ready) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36311,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | node1(s315) | m_main_v_state(s316, c_ready)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36310, 36309])).
% 14.80/10.52 tff(36312,plain,
% 14.80/10.52 (m_main_v_state(s316, c_busy) | node1(s315) | m_main_v_state(s316, c_ready)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36311, 3551, 36298])).
% 14.80/10.52 tff(36313,plain,
% 14.80/10.52 (m_main_v_state(s316, c_ready)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36312, 36284, 36305])).
% 14.80/10.52 tff(36314,plain,
% 14.80/10.52 (always3(s317)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[27906, 36277])).
% 14.80/10.52 tff(36315,plain,
% 14.80/10.52 (~m_main_v_state(s317, c_busy)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36200, 85, 36314])).
% 14.80/10.52 tff(36316,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s316, s317)) | node2(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s316, s317)) | node2(s316, s317))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36317,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s316, s317)) | node2(s316, s317))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36318,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s316, s317)) | node2(s316, s317)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36317, 36316])).
% 14.80/10.52 tff(36319,plain,
% 14.80/10.52 (node2(s316, s317)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36318, 7, 27902])).
% 14.80/10.52 tff(36320,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s316, c_ready)) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s316, c_ready)) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36321,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s316, c_ready)) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36322,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s316, c_ready)) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36321, 36320])).
% 14.80/10.52 tff(36323,plain,
% 14.80/10.52 ((~m_main_v_state(s316, c_ready)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36322, 73, 36319])).
% 14.80/10.52 tff(36324,plain,
% 14.80/10.52 (~m_main_v_request(s316)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36323, 36315, 36313])).
% 14.80/10.52 tff(36325,plain,
% 14.80/10.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s316) | (~node4(s316)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s316) | (~node4(s316)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36326,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s316) | (~node4(s316)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36327,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s316) | (~node4(s316))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36326, 36325])).
% 14.80/10.52 tff(36328,plain,
% 14.80/10.52 (~node4(s316)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36327, 21, 36324])).
% 14.80/10.52 tff(36329,plain,
% 14.80/10.52 (node4(s316) | (~until5(s316))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28148, 294, 36248])).
% 14.80/10.52 tff(36330,plain,
% 14.80/10.52 (~until5(s316)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36329, 36328])).
% 14.80/10.52 tff(36331,plain,
% 14.80/10.52 (~xuntil6(s315)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28137, 36330])).
% 14.80/10.52 tff(36332,assumption,(~xuntil6(s315)), introduced(assumption)).
% 14.80/10.52 tff(36333,assumption,(until5(s314)), introduced(assumption)).
% 14.80/10.52 tff(36334,assumption,(~always3(s315)), introduced(assumption)).
% 14.80/10.52 tff(36335,plain,
% 14.80/10.52 (~always3(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[27930, 36334])).
% 14.80/10.52 tff(36336,plain,
% 14.80/10.52 (~node4(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28107, 36, 36335])).
% 14.80/10.52 tff(36337,plain,
% 14.80/10.52 (xuntil6(s314) | node4(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28114, 294, 36333])).
% 14.80/10.52 tff(36338,plain,
% 14.80/10.52 (xuntil6(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36337, 36336])).
% 14.80/10.52 tff(36339,plain,
% 14.80/10.52 (until5(s315)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28120, 36338])).
% 14.80/10.52 tff(36340,plain,
% 14.80/10.52 (node4(s315) | (~until5(s315))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28131, 294, 36332])).
% 14.80/10.52 tff(36341,plain,
% 14.80/10.52 (node4(s315)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36340, 36339])).
% 14.80/10.52 tff(36342,plain,
% 14.80/10.52 ($false),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28124, 36, 36334, 36341])).
% 14.80/10.52 tff(36343,plain,(always3(s315) | xuntil6(s315) | (~until5(s314))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.52 tff(36344,plain,
% 14.80/10.52 (always3(s315)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36343, 36333, 36332])).
% 14.80/10.52 tff(36345,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s315)) | (~m_main_v_state(s315, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s315)) | (~m_main_v_state(s315, c_busy)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36346,plain,
% 14.80/10.52 (((~m_main_v_state(s315, c_busy)) | (~always3(s315))) <=> ((~always3(s315)) | (~m_main_v_state(s315, c_busy)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36347,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s315, c_busy)) | (~always3(s315)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s315)) | (~m_main_v_state(s315, c_busy))))),
% 14.80/10.52 inference(monotonicity,[status(thm)],[36346])).
% 14.80/10.52 tff(36348,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s315, c_busy)) | (~always3(s315)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s315)) | (~m_main_v_state(s315, c_busy)))),
% 14.80/10.52 inference(transitivity,[status(thm)],[36347, 36345])).
% 14.80/10.52 tff(36349,plain,
% 14.80/10.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s315, c_busy)) | (~always3(s315)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36350,plain,
% 14.80/10.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s315)) | (~m_main_v_state(s315, c_busy))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36349, 36348])).
% 14.80/10.52 tff(36351,plain,
% 14.80/10.52 (~m_main_v_state(s315, c_busy)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36350, 85, 36344])).
% 14.80/10.52 tff(36352,plain,
% 14.80/10.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s315, c_busy) | m_main_v_state(s315, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s315, c_busy) | m_main_v_state(s315, c_ready))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36353,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s315, c_busy) | m_main_v_state(s315, c_ready))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36354,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s315, c_busy) | m_main_v_state(s315, c_ready)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36353, 36352])).
% 14.80/10.52 tff(36355,plain,
% 14.80/10.52 (m_main_v_state(s315, c_ready)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36354, 102, 36351])).
% 14.80/10.52 tff(36356,plain,
% 14.80/10.52 (~m_main_v_request(s315)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36302, 36355, 36285])).
% 14.80/10.52 tff(36357,plain,
% 14.80/10.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s315) | (~node4(s315)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s315) | (~node4(s315)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36358,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s315) | (~node4(s315)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36359,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s315) | (~node4(s315))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36358, 36357])).
% 14.80/10.52 tff(36360,plain,
% 14.80/10.52 (~node4(s315)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36359, 21, 36356])).
% 14.80/10.52 tff(36361,plain,
% 14.80/10.52 (~until5(s315)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36340, 36360])).
% 14.80/10.52 tff(36362,plain,
% 14.80/10.52 (~xuntil6(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28120, 36361])).
% 14.80/10.52 tff(36363,plain,
% 14.80/10.52 (node4(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36337, 36362])).
% 14.80/10.52 tff(36364,plain,
% 14.80/10.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s314) | (~node4(s314)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s314) | (~node4(s314)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36365,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s314) | (~node4(s314)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36366,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s314) | (~node4(s314))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36365, 36364])).
% 14.80/10.52 tff(36367,plain,
% 14.80/10.52 (m_main_v_request(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36366, 21, 36363])).
% 14.80/10.52 tff(36368,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s314, s315)) | node2(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s314, s315)) | node2(s314, s315))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36369,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s314, s315)) | node2(s314, s315))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36370,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s314, s315)) | node2(s314, s315)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36369, 36368])).
% 14.80/10.52 tff(36371,plain,
% 14.80/10.52 (node2(s314, s315)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36370, 7, 27926])).
% 14.80/10.52 tff(36372,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s314, c_ready)) | (~node2(s314, s315)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s314, c_ready)) | (~node2(s314, s315)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36373,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s314, c_ready)) | (~node2(s314, s315)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36374,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s314, c_ready)) | (~node2(s314, s315)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36373, 36372])).
% 14.80/10.52 tff(36375,plain,
% 14.80/10.52 ((~m_main_v_state(s314, c_ready)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36374, 73, 36371])).
% 14.80/10.52 tff(36376,plain,
% 14.80/10.52 (~m_main_v_state(s314, c_ready)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36375, 36367, 36351])).
% 14.80/10.52 tff(36377,plain,
% 14.80/10.52 (always3(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28107, 36, 36363])).
% 14.80/10.52 tff(36378,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s314)) | (~m_main_v_state(s314, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s314)) | (~m_main_v_state(s314, c_busy)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36379,plain,
% 14.80/10.52 (((~m_main_v_state(s314, c_busy)) | (~always3(s314))) <=> ((~always3(s314)) | (~m_main_v_state(s314, c_busy)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36380,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s314, c_busy)) | (~always3(s314)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s314)) | (~m_main_v_state(s314, c_busy))))),
% 14.80/10.52 inference(monotonicity,[status(thm)],[36379])).
% 14.80/10.52 tff(36381,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s314, c_busy)) | (~always3(s314)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s314)) | (~m_main_v_state(s314, c_busy)))),
% 14.80/10.52 inference(transitivity,[status(thm)],[36380, 36378])).
% 14.80/10.52 tff(36382,plain,
% 14.80/10.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s314, c_busy)) | (~always3(s314)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36383,plain,
% 14.80/10.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s314)) | (~m_main_v_state(s314, c_busy))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36382, 36381])).
% 14.80/10.52 tff(36384,plain,
% 14.80/10.52 (~m_main_v_state(s314, c_busy)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36383, 85, 36377])).
% 14.80/10.52 tff(36385,plain,
% 14.80/10.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s314, c_busy) | m_main_v_state(s314, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s314, c_busy) | m_main_v_state(s314, c_ready))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36386,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s314, c_busy) | m_main_v_state(s314, c_ready))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36387,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s314, c_busy) | m_main_v_state(s314, c_ready)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36386, 36385])).
% 14.80/10.52 tff(36388,plain,
% 14.80/10.52 ($false),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36387, 102, 36384, 36376])).
% 14.80/10.52 tff(36389,plain,((~until5(s314)) | xuntil6(s315) | m_main_v_state(s316, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.52 tff(36390,plain,
% 14.80/10.52 (~until5(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36389, 36331, 36284])).
% 14.80/10.52 tff(36391,plain,
% 14.80/10.52 (~xuntil6(s313)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28103, 36390])).
% 14.80/10.52 tff(36392,assumption,(~always3(s313)), introduced(assumption)).
% 14.80/10.52 tff(36393,plain,
% 14.80/10.52 (~always3(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[27954, 36392])).
% 14.80/10.52 tff(36394,plain,
% 14.80/10.52 (~node4(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28073, 36, 36393])).
% 14.80/10.52 tff(36395,plain,
% 14.80/10.52 (~node4(s313)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28090, 36, 36392])).
% 14.80/10.52 tff(36396,assumption,(~xuntil6(s313)), introduced(assumption)).
% 14.80/10.52 tff(36397,plain,
% 14.80/10.52 (node4(s313) | (~until5(s313))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28097, 294, 36396])).
% 14.80/10.52 tff(36398,plain,
% 14.80/10.52 (~until5(s313)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36397, 36395])).
% 14.80/10.52 tff(36399,plain,
% 14.80/10.52 (~xuntil6(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28086, 36398])).
% 14.80/10.52 tff(36400,plain,
% 14.80/10.52 (~always3(s311)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[27966, 36393])).
% 14.80/10.52 tff(36401,plain,
% 14.80/10.52 (~node4(s311)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28056, 36, 36400])).
% 14.80/10.52 tff(36402,plain,
% 14.80/10.52 (xuntil6(s311)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[34734, 36401])).
% 14.80/10.52 tff(36403,plain,
% 14.80/10.52 (until5(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28069, 36402])).
% 14.80/10.52 tff(36404,plain,
% 14.80/10.52 ($false),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28080, 294, 36403, 36399, 36394])).
% 14.80/10.52 tff(36405,plain,(always3(s313) | (~until5(s311)) | xuntil6(s313)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.52 tff(36406,plain,
% 14.80/10.52 (always3(s313)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36405, 34705, 36391])).
% 14.80/10.52 tff(36407,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s313)) | (~m_main_v_state(s313, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s313)) | (~m_main_v_state(s313, c_busy)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36408,plain,
% 14.80/10.52 (((~m_main_v_state(s313, c_busy)) | (~always3(s313))) <=> ((~always3(s313)) | (~m_main_v_state(s313, c_busy)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36409,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s313, c_busy)) | (~always3(s313)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s313)) | (~m_main_v_state(s313, c_busy))))),
% 14.80/10.52 inference(monotonicity,[status(thm)],[36408])).
% 14.80/10.52 tff(36410,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s313, c_busy)) | (~always3(s313)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s313)) | (~m_main_v_state(s313, c_busy)))),
% 14.80/10.52 inference(transitivity,[status(thm)],[36409, 36407])).
% 14.80/10.52 tff(36411,plain,
% 14.80/10.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s313, c_busy)) | (~always3(s313)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36412,plain,
% 14.80/10.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s313)) | (~m_main_v_state(s313, c_busy))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36411, 36410])).
% 14.80/10.52 tff(36413,plain,
% 14.80/10.52 (~m_main_v_state(s313, c_busy)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36412, 85, 36406])).
% 14.80/10.52 tff(36414,assumption,(~m_main_v_state(s313, c_busy)), introduced(assumption)).
% 14.80/10.52 tff(36415,assumption,(~m_main_v_state(s313, c_ready)), introduced(assumption)).
% 14.80/10.52 tff(36416,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s312, s313)) | node2(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s312, s313)) | node2(s312, s313))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36417,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s312, s313)) | node2(s312, s313))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36418,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s312, s313)) | node2(s312, s313)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36417, 36416])).
% 14.80/10.52 tff(36419,plain,
% 14.80/10.52 (node2(s312, s313)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36418, 7, 27950])).
% 14.80/10.52 tff(36420,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s312, s313)) | m_main_v_state(s313, c_busy) | node1(s312) | m_main_v_state(s313, 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(s312, s313)) | m_main_v_state(s313, c_busy) | node1(s312) | m_main_v_state(s313, c_ready))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36421,plain,
% 14.80/10.52 ((node1(s312) | m_main_v_state(s313, c_ready) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy)) <=> ((~node2(s312, s313)) | m_main_v_state(s313, c_busy) | node1(s312) | m_main_v_state(s313, c_ready))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36422,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s312) | m_main_v_state(s313, c_ready) | (~node2(s312, s313)) | m_main_v_state(s313, 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(s312, s313)) | m_main_v_state(s313, c_busy) | node1(s312) | m_main_v_state(s313, c_ready)))),
% 14.80/10.52 inference(monotonicity,[status(thm)],[36421])).
% 14.80/10.52 tff(36423,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s312) | m_main_v_state(s313, c_ready) | (~node2(s312, s313)) | m_main_v_state(s313, 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(s312, s313)) | m_main_v_state(s313, c_busy) | node1(s312) | m_main_v_state(s313, c_ready))),
% 14.80/10.52 inference(transitivity,[status(thm)],[36422, 36420])).
% 14.80/10.52 tff(36424,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s312) | m_main_v_state(s313, c_ready) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36425,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | node1(s312) | m_main_v_state(s313, c_ready)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36424, 36423])).
% 14.80/10.52 tff(36426,plain,
% 14.80/10.52 (m_main_v_state(s313, c_busy) | node1(s312) | m_main_v_state(s313, c_ready)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36425, 3551, 36419])).
% 14.80/10.52 tff(36427,plain,
% 14.80/10.52 (node1(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36426, 36414, 36415])).
% 14.80/10.52 tff(36428,plain,
% 14.80/10.52 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s312, c_ready) | (~node1(s312)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s312, c_ready) | (~node1(s312)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36429,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s312, c_ready) | (~node1(s312)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36430,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s312, c_ready) | (~node1(s312))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36429, 36428])).
% 14.80/10.52 tff(36431,plain,
% 14.80/10.52 (m_main_v_state(s312, c_ready)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36430, 3581, 36427])).
% 14.80/10.52 tff(36432,plain,
% 14.80/10.52 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s312) | (~node1(s312)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s312) | (~node1(s312)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36433,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s312) | (~node1(s312)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36434,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s312) | (~node1(s312))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36433, 36432])).
% 14.80/10.52 tff(36435,plain,
% 14.80/10.52 (m_main_v_request(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36434, 3568, 36427])).
% 14.80/10.52 tff(36436,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s312, c_ready)) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s312, c_ready)) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36437,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s312, c_ready)) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36438,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s312, c_ready)) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36437, 36436])).
% 14.80/10.52 tff(36439,plain,
% 14.80/10.52 ((~m_main_v_state(s312, c_ready)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36438, 73, 36419])).
% 14.80/10.52 tff(36440,plain,
% 14.80/10.52 ($false),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36439, 36435, 36431, 36414])).
% 14.80/10.52 tff(36441,plain,(m_main_v_state(s313, c_busy) | m_main_v_state(s313, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.52 tff(36442,plain,
% 14.80/10.52 (m_main_v_state(s313, c_ready)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36441, 36413])).
% 14.80/10.52 tff(36443,plain,
% 14.80/10.52 (always3(s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[27942, 36406])).
% 14.80/10.52 tff(36444,plain,
% 14.80/10.52 (~m_main_v_state(s314, c_busy)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36383, 85, 36443])).
% 14.80/10.52 tff(36445,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s313, s314)) | node2(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s313, s314)) | node2(s313, s314))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36446,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s313, s314)) | node2(s313, s314))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36447,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s313, s314)) | node2(s313, s314)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36446, 36445])).
% 14.80/10.52 tff(36448,plain,
% 14.80/10.52 (node2(s313, s314)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36447, 7, 27938])).
% 14.80/10.52 tff(36449,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s313, c_ready)) | (~node2(s313, s314)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s313, c_ready)) | (~node2(s313, s314)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36450,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s313, c_ready)) | (~node2(s313, s314)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36451,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s313, c_ready)) | (~node2(s313, s314)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36450, 36449])).
% 14.80/10.52 tff(36452,plain,
% 14.80/10.52 ((~m_main_v_state(s313, c_ready)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36451, 73, 36448])).
% 14.80/10.52 tff(36453,plain,
% 14.80/10.52 (~m_main_v_request(s313)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36452, 36444, 36442])).
% 14.80/10.52 tff(36454,plain,
% 14.80/10.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s313) | (~node4(s313)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s313) | (~node4(s313)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36455,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s313) | (~node4(s313)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36456,plain,
% 14.80/10.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s313) | (~node4(s313))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36455, 36454])).
% 14.80/10.52 tff(36457,plain,
% 14.80/10.52 (~node4(s313)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36456, 21, 36453])).
% 14.80/10.52 tff(36458,plain,
% 14.80/10.52 (node4(s313) | (~until5(s313))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28097, 294, 36391])).
% 14.80/10.52 tff(36459,plain,
% 14.80/10.52 (~until5(s313)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36458, 36457])).
% 14.80/10.52 tff(36460,plain,
% 14.80/10.52 (~xuntil6(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28086, 36459])).
% 14.80/10.52 tff(36461,assumption,(~always3(s312)), introduced(assumption)).
% 14.80/10.52 tff(36462,plain,
% 14.80/10.52 (~always3(s311)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[27966, 36461])).
% 14.80/10.52 tff(36463,plain,
% 14.80/10.52 (~node4(s311)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28056, 36, 36462])).
% 14.80/10.52 tff(36464,plain,
% 14.80/10.52 (xuntil6(s311)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[34734, 36463])).
% 14.80/10.52 tff(36465,plain,
% 14.80/10.52 (until5(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28069, 36464])).
% 14.80/10.52 tff(36466,assumption,(~xuntil6(s312)), introduced(assumption)).
% 14.80/10.52 tff(36467,plain,
% 14.80/10.52 (node4(s312) | (~until5(s312))),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28080, 294, 36466])).
% 14.80/10.52 tff(36468,plain,
% 14.80/10.52 (node4(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36467, 36465])).
% 14.80/10.52 tff(36469,plain,
% 14.80/10.52 ($false),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[28073, 36, 36461, 36468])).
% 14.80/10.52 tff(36470,plain,(always3(s312) | xuntil6(s312) | (~until5(s311))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.52 tff(36471,plain,
% 14.80/10.52 (always3(s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36470, 36460, 34705])).
% 14.80/10.52 tff(36472,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s312)) | (~m_main_v_state(s312, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s312)) | (~m_main_v_state(s312, c_busy)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36473,plain,
% 14.80/10.52 (((~m_main_v_state(s312, c_busy)) | (~always3(s312))) <=> ((~always3(s312)) | (~m_main_v_state(s312, c_busy)))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36474,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s312, c_busy)) | (~always3(s312)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s312)) | (~m_main_v_state(s312, c_busy))))),
% 14.80/10.52 inference(monotonicity,[status(thm)],[36473])).
% 14.80/10.52 tff(36475,plain,
% 14.80/10.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s312, c_busy)) | (~always3(s312)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s312)) | (~m_main_v_state(s312, c_busy)))),
% 14.80/10.52 inference(transitivity,[status(thm)],[36474, 36472])).
% 14.80/10.52 tff(36476,plain,
% 14.80/10.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s312, c_busy)) | (~always3(s312)))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36477,plain,
% 14.80/10.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s312)) | (~m_main_v_state(s312, c_busy))),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36476, 36475])).
% 14.80/10.52 tff(36478,plain,
% 14.80/10.52 (~m_main_v_state(s312, c_busy)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36477, 85, 36471])).
% 14.80/10.52 tff(36479,assumption,(~m_main_v_state(s312, c_busy)), introduced(assumption)).
% 14.80/10.52 tff(36480,assumption,(~m_main_v_state(s312, c_ready)), introduced(assumption)).
% 14.80/10.52 tff(36481,plain,
% 14.80/10.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s311, s312)) | node2(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s311, s312)) | node2(s311, s312))),
% 14.80/10.52 inference(rewrite,[status(thm)],[])).
% 14.80/10.52 tff(36482,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s311, s312)) | node2(s311, s312))),
% 14.80/10.52 inference(quant_inst,[status(thm)],[])).
% 14.80/10.52 tff(36483,plain,
% 14.80/10.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s311, s312)) | node2(s311, s312)),
% 14.80/10.52 inference(modus_ponens,[status(thm)],[36482, 36481])).
% 14.80/10.52 tff(36484,plain,
% 14.80/10.52 (node2(s311, s312)),
% 14.80/10.52 inference(unit_resolution,[status(thm)],[36483, 7, 27962])).
% 14.80/10.53 tff(36485,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s311, s312)) | m_main_v_state(s312, c_busy) | node1(s311) | m_main_v_state(s312, 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(s311, s312)) | m_main_v_state(s312, c_busy) | node1(s311) | m_main_v_state(s312, c_ready))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36486,plain,
% 14.80/10.53 ((node1(s311) | m_main_v_state(s312, c_ready) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy)) <=> ((~node2(s311, s312)) | m_main_v_state(s312, c_busy) | node1(s311) | m_main_v_state(s312, c_ready))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36487,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s311) | m_main_v_state(s312, c_ready) | (~node2(s311, s312)) | m_main_v_state(s312, 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(s311, s312)) | m_main_v_state(s312, c_busy) | node1(s311) | m_main_v_state(s312, c_ready)))),
% 14.80/10.53 inference(monotonicity,[status(thm)],[36486])).
% 14.80/10.53 tff(36488,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s311) | m_main_v_state(s312, c_ready) | (~node2(s311, s312)) | m_main_v_state(s312, 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(s311, s312)) | m_main_v_state(s312, c_busy) | node1(s311) | m_main_v_state(s312, c_ready))),
% 14.80/10.53 inference(transitivity,[status(thm)],[36487, 36485])).
% 14.80/10.53 tff(36489,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s311) | m_main_v_state(s312, c_ready) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36490,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | node1(s311) | m_main_v_state(s312, c_ready)),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36489, 36488])).
% 14.80/10.53 tff(36491,plain,
% 14.80/10.53 (m_main_v_state(s312, c_busy) | node1(s311) | m_main_v_state(s312, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36490, 3551, 36484])).
% 14.80/10.53 tff(36492,plain,
% 14.80/10.53 (node1(s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36491, 36479, 36480])).
% 14.80/10.53 tff(36493,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s311, c_ready) | (~node1(s311)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s311, c_ready) | (~node1(s311)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36494,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s311, c_ready) | (~node1(s311)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36495,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s311, c_ready) | (~node1(s311))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36494, 36493])).
% 14.80/10.53 tff(36496,plain,
% 14.80/10.53 (m_main_v_state(s311, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36495, 3581, 36492])).
% 14.80/10.53 tff(36497,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s311) | (~node1(s311)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s311) | (~node1(s311)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36498,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s311) | (~node1(s311)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36499,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s311) | (~node1(s311))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36498, 36497])).
% 14.80/10.53 tff(36500,plain,
% 14.80/10.53 (m_main_v_request(s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36499, 3568, 36492])).
% 14.80/10.53 tff(36501,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s311, c_ready)) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s311, c_ready)) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36502,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s311, c_ready)) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36503,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s311, c_ready)) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36502, 36501])).
% 14.80/10.53 tff(36504,plain,
% 14.80/10.53 ((~m_main_v_state(s311, c_ready)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36503, 73, 36484])).
% 14.80/10.53 tff(36505,plain,
% 14.80/10.53 ($false),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36504, 36500, 36496, 36479])).
% 14.80/10.53 tff(36506,plain,(m_main_v_state(s312, c_busy) | m_main_v_state(s312, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.53 tff(36507,plain,
% 14.80/10.53 (m_main_v_state(s312, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36506, 36478])).
% 14.80/10.53 tff(36508,plain,
% 14.80/10.53 (~m_main_v_request(s312)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36439, 36507, 36413])).
% 14.80/10.53 tff(36509,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s312) | (~node4(s312)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s312) | (~node4(s312)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36510,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s312) | (~node4(s312)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36511,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s312) | (~node4(s312))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36510, 36509])).
% 14.80/10.53 tff(36512,plain,
% 14.80/10.53 (~node4(s312)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36511, 21, 36508])).
% 14.80/10.53 tff(36513,plain,
% 14.80/10.53 (node4(s312) | (~until5(s312))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28080, 294, 36460])).
% 14.80/10.53 tff(36514,plain,
% 14.80/10.53 (~until5(s312)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36513, 36512])).
% 14.80/10.53 tff(36515,plain,
% 14.80/10.53 (~xuntil6(s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28069, 36514])).
% 14.80/10.53 tff(36516,plain,
% 14.80/10.53 (node4(s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34734, 36515])).
% 14.80/10.53 tff(36517,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s311) | (~node4(s311)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s311) | (~node4(s311)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36518,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s311) | (~node4(s311)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36519,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s311) | (~node4(s311))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36518, 36517])).
% 14.80/10.53 tff(36520,plain,
% 14.80/10.53 (m_main_v_request(s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36519, 21, 36516])).
% 14.80/10.53 tff(36521,plain,
% 14.80/10.53 (~m_main_v_state(s311, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36504, 36520, 36478])).
% 14.80/10.53 tff(36522,assumption,(~m_main_v_state(s311, c_busy)), introduced(assumption)).
% 14.80/10.53 tff(36523,assumption,(~m_main_v_state(s311, c_ready)), introduced(assumption)).
% 14.80/10.53 tff(36524,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s310, s311)) | node2(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s310, s311)) | node2(s310, s311))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36525,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s310, s311)) | node2(s310, s311))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36526,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s310, s311)) | node2(s310, s311)),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36525, 36524])).
% 14.80/10.53 tff(36527,plain,
% 14.80/10.53 (node2(s310, s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36526, 7, 27974])).
% 14.80/10.53 tff(36528,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s310, s311)) | m_main_v_state(s311, c_busy) | node1(s310) | m_main_v_state(s311, 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(s310, s311)) | m_main_v_state(s311, c_busy) | node1(s310) | m_main_v_state(s311, c_ready))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36529,plain,
% 14.80/10.53 ((node1(s310) | m_main_v_state(s311, c_ready) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy)) <=> ((~node2(s310, s311)) | m_main_v_state(s311, c_busy) | node1(s310) | m_main_v_state(s311, c_ready))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36530,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s310) | m_main_v_state(s311, c_ready) | (~node2(s310, s311)) | m_main_v_state(s311, 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(s310, s311)) | m_main_v_state(s311, c_busy) | node1(s310) | m_main_v_state(s311, c_ready)))),
% 14.80/10.53 inference(monotonicity,[status(thm)],[36529])).
% 14.80/10.53 tff(36531,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s310) | m_main_v_state(s311, c_ready) | (~node2(s310, s311)) | m_main_v_state(s311, 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(s310, s311)) | m_main_v_state(s311, c_busy) | node1(s310) | m_main_v_state(s311, c_ready))),
% 14.80/10.53 inference(transitivity,[status(thm)],[36530, 36528])).
% 14.80/10.53 tff(36532,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s310) | m_main_v_state(s311, c_ready) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36533,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | node1(s310) | m_main_v_state(s311, c_ready)),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36532, 36531])).
% 14.80/10.53 tff(36534,plain,
% 14.80/10.53 (m_main_v_state(s311, c_busy) | node1(s310) | m_main_v_state(s311, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36533, 3551, 36527])).
% 14.80/10.53 tff(36535,plain,
% 14.80/10.53 (node1(s310)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36534, 36522, 36523])).
% 14.80/10.53 tff(36536,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s310, c_ready) | (~node1(s310)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s310, c_ready) | (~node1(s310)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36537,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s310, c_ready) | (~node1(s310)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36538,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s310, c_ready) | (~node1(s310))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36537, 36536])).
% 14.80/10.53 tff(36539,plain,
% 14.80/10.53 (m_main_v_state(s310, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36538, 3581, 36535])).
% 14.80/10.53 tff(36540,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s310) | (~node1(s310)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s310) | (~node1(s310)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36541,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s310) | (~node1(s310)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36542,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s310) | (~node1(s310))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36541, 36540])).
% 14.80/10.53 tff(36543,plain,
% 14.80/10.53 (m_main_v_request(s310)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36542, 3568, 36535])).
% 14.80/10.53 tff(36544,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s310, c_ready)) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s310, c_ready)) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36545,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s310, c_ready)) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36546,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s310, c_ready)) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36545, 36544])).
% 14.80/10.53 tff(36547,plain,
% 14.80/10.53 ((~m_main_v_state(s310, c_ready)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36546, 73, 36527])).
% 14.80/10.53 tff(36548,plain,
% 14.80/10.53 ($false),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36547, 36543, 36539, 36522])).
% 14.80/10.53 tff(36549,plain,(m_main_v_state(s311, c_busy) | m_main_v_state(s311, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.53 tff(36550,plain,
% 14.80/10.53 (m_main_v_state(s311, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36549, 36521])).
% 14.80/10.53 tff(36551,plain,
% 14.80/10.53 (always3(s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28056, 36, 36516])).
% 14.80/10.53 tff(36552,plain,
% 14.80/10.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s311)) | (~m_main_v_state(s311, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s311)) | (~m_main_v_state(s311, c_busy)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36553,plain,
% 14.80/10.53 (((~m_main_v_state(s311, c_busy)) | (~always3(s311))) <=> ((~always3(s311)) | (~m_main_v_state(s311, c_busy)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36554,plain,
% 14.80/10.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s311, c_busy)) | (~always3(s311)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s311)) | (~m_main_v_state(s311, c_busy))))),
% 14.80/10.53 inference(monotonicity,[status(thm)],[36553])).
% 14.80/10.53 tff(36555,plain,
% 14.80/10.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s311, c_busy)) | (~always3(s311)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s311)) | (~m_main_v_state(s311, c_busy)))),
% 14.80/10.53 inference(transitivity,[status(thm)],[36554, 36552])).
% 14.80/10.53 tff(36556,plain,
% 14.80/10.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s311, c_busy)) | (~always3(s311)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36557,plain,
% 14.80/10.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s311)) | (~m_main_v_state(s311, c_busy))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36556, 36555])).
% 14.80/10.53 tff(36558,plain,
% 14.80/10.53 ($false),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36557, 85, 36551, 36550])).
% 14.80/10.53 tff(36559,plain,((~until5(s311)) | xuntil6(s335) | m_main_v_state(s336, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.53 tff(36560,plain,
% 14.80/10.53 (xuntil6(s335)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36559, 34704, 31988])).
% 14.80/10.53 tff(36561,plain,
% 14.80/10.53 (until5(s336)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28477, 36560])).
% 14.80/10.53 tff(36562,plain,
% 14.80/10.53 (node4(s336) | (~until5(s336))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28488, 294, 34555])).
% 14.80/10.53 tff(36563,plain,
% 14.80/10.53 (node4(s336)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36562, 36561])).
% 14.80/10.53 tff(36564,assumption,(~m_main_v_state(s336, c_ready)), introduced(assumption)).
% 14.80/10.53 tff(36565,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s336, c_busy) | m_main_v_state(s336, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s336, c_busy) | m_main_v_state(s336, c_ready))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36566,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s336, c_busy) | m_main_v_state(s336, c_ready))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36567,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s336, c_busy) | m_main_v_state(s336, c_ready)),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36566, 36565])).
% 14.80/10.53 tff(36568,plain,
% 14.80/10.53 ($false),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36567, 102, 34839, 36564])).
% 14.80/10.53 tff(36569,plain,(m_main_v_state(s336, c_ready) | m_main_v_state(s336, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.53 tff(36570,plain,
% 14.80/10.53 (m_main_v_state(s336, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36569, 34704])).
% 14.80/10.53 tff(36571,plain,
% 14.80/10.53 (always3(s337)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27666, 34697])).
% 14.80/10.53 tff(36572,plain,
% 14.80/10.53 (~m_main_v_state(s337, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34516, 85, 36571])).
% 14.80/10.53 tff(36573,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s336, s337)) | node2(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s336, s337)) | node2(s336, s337))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36574,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s336, s337)) | node2(s336, s337))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36575,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s336, s337)) | node2(s336, s337)),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36574, 36573])).
% 14.80/10.53 tff(36576,plain,
% 14.80/10.53 (node2(s336, s337)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36575, 7, 27662])).
% 14.80/10.53 tff(36577,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s336, c_ready)) | (~node2(s336, s337)) | m_main_v_state(s337, c_busy) | (~m_main_v_request(s336)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s336, c_ready)) | (~node2(s336, s337)) | m_main_v_state(s337, c_busy) | (~m_main_v_request(s336)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36578,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s336, c_ready)) | (~node2(s336, s337)) | m_main_v_state(s337, c_busy) | (~m_main_v_request(s336)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36579,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s336, c_ready)) | (~node2(s336, s337)) | m_main_v_state(s337, c_busy) | (~m_main_v_request(s336))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36578, 36577])).
% 14.80/10.53 tff(36580,plain,
% 14.80/10.53 ((~m_main_v_state(s336, c_ready)) | m_main_v_state(s337, c_busy) | (~m_main_v_request(s336))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36579, 73, 36576])).
% 14.80/10.53 tff(36581,plain,
% 14.80/10.53 (~m_main_v_request(s336)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36580, 36572, 36570])).
% 14.80/10.53 tff(36582,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s336) | (~node4(s336)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s336) | (~node4(s336)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36583,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s336) | (~node4(s336)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36584,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s336) | (~node4(s336))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36583, 36582])).
% 14.80/10.53 tff(36585,plain,
% 14.80/10.53 ($false),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36584, 21, 36581, 36563])).
% 14.80/10.53 tff(36586,plain,(always3(s310) | xuntil6(s362)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.53 tff(36587,plain,
% 14.80/10.53 (always3(s310)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36586, 31970])).
% 14.80/10.53 tff(36588,plain,
% 14.80/10.53 (always3(s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27978, 36587])).
% 14.80/10.53 tff(36589,plain,
% 14.80/10.53 (always3(s312)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27966, 36588])).
% 14.80/10.53 tff(36590,plain,
% 14.80/10.53 (always3(s313)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27954, 36589])).
% 14.80/10.53 tff(36591,plain,
% 14.80/10.53 (always3(s314)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27942, 36590])).
% 14.80/10.53 tff(36592,plain,
% 14.80/10.53 (always3(s315)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27930, 36591])).
% 14.80/10.53 tff(36593,plain,
% 14.80/10.53 (always3(s316)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27918, 36592])).
% 14.80/10.53 tff(36594,plain,
% 14.80/10.53 (always3(s317)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27906, 36593])).
% 14.80/10.53 tff(36595,plain,
% 14.80/10.53 (always3(s318)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27894, 36594])).
% 14.80/10.53 tff(36596,plain,
% 14.80/10.53 (always3(s319)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27882, 36595])).
% 14.80/10.53 tff(36597,plain,
% 14.80/10.53 (always3(s320)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27870, 36596])).
% 14.80/10.53 tff(36598,plain,
% 14.80/10.53 (always3(s321)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27858, 36597])).
% 14.80/10.53 tff(36599,plain,
% 14.80/10.53 (always3(s322)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27846, 36598])).
% 14.80/10.53 tff(36600,plain,
% 14.80/10.53 (always3(s323)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27834, 36599])).
% 14.80/10.53 tff(36601,plain,
% 14.80/10.53 (always3(s324)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27822, 36600])).
% 14.80/10.53 tff(36602,plain,
% 14.80/10.53 (always3(s325)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27810, 36601])).
% 14.80/10.53 tff(36603,plain,
% 14.80/10.53 (always3(s326)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27798, 36602])).
% 14.80/10.53 tff(36604,plain,
% 14.80/10.53 (always3(s327)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27786, 36603])).
% 14.80/10.53 tff(36605,plain,
% 14.80/10.53 (always3(s328)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27774, 36604])).
% 14.80/10.53 tff(36606,plain,
% 14.80/10.53 (always3(s329)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27762, 36605])).
% 14.80/10.53 tff(36607,plain,
% 14.80/10.53 (always3(s330)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27750, 36606])).
% 14.80/10.53 tff(36608,plain,
% 14.80/10.53 (always3(s331)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27738, 36607])).
% 14.80/10.53 tff(36609,plain,
% 14.80/10.53 (always3(s332)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27726, 36608])).
% 14.80/10.53 tff(36610,plain,
% 14.80/10.53 (always3(s333)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27714, 36609])).
% 14.80/10.53 tff(36611,plain,
% 14.80/10.53 (always3(s334)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27702, 36610])).
% 14.80/10.53 tff(36612,plain,
% 14.80/10.53 (always3(s335)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27690, 36611])).
% 14.80/10.53 tff(36613,plain,
% 14.80/10.53 (always3(s336)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27678, 36612])).
% 14.80/10.53 tff(36614,plain,
% 14.80/10.53 (~m_main_v_state(s336, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34703, 85, 36613])).
% 14.80/10.53 tff(36615,plain,
% 14.80/10.53 (m_main_v_state(s336, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36569, 36614])).
% 14.80/10.53 tff(36616,plain,
% 14.80/10.53 (always3(s337)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27666, 36613])).
% 14.80/10.53 tff(36617,plain,
% 14.80/10.53 (~m_main_v_state(s337, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34516, 85, 36616])).
% 14.80/10.53 tff(36618,plain,
% 14.80/10.53 (~m_main_v_request(s336)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36580, 36617, 36615])).
% 14.80/10.53 tff(36619,plain,
% 14.80/10.53 (~node4(s336)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36584, 21, 36618])).
% 14.80/10.53 tff(36620,plain,
% 14.80/10.53 (~m_main_v_state(s311, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36557, 85, 36588])).
% 14.80/10.53 tff(36621,plain,
% 14.80/10.53 (~m_main_v_state(s310, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28895, 85, 36587])).
% 14.80/10.53 tff(36622,assumption,(~m_main_v_state(s310, c_busy)), introduced(assumption)).
% 14.80/10.53 tff(36623,assumption,(~m_main_v_state(s310, c_ready)), introduced(assumption)).
% 14.80/10.53 tff(36624,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s309, s310)) | m_main_v_state(s310, c_busy) | node1(s309) | m_main_v_state(s310, 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(s309, s310)) | m_main_v_state(s310, c_busy) | node1(s309) | m_main_v_state(s310, c_ready))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36625,plain,
% 14.80/10.53 ((node1(s309) | m_main_v_state(s310, c_ready) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy)) <=> ((~node2(s309, s310)) | m_main_v_state(s310, c_busy) | node1(s309) | m_main_v_state(s310, c_ready))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36626,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s309) | m_main_v_state(s310, c_ready) | (~node2(s309, s310)) | m_main_v_state(s310, 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(s309, s310)) | m_main_v_state(s310, c_busy) | node1(s309) | m_main_v_state(s310, c_ready)))),
% 14.80/10.53 inference(monotonicity,[status(thm)],[36625])).
% 14.80/10.53 tff(36627,plain,
% 14.80/10.53 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s309) | m_main_v_state(s310, c_ready) | (~node2(s309, s310)) | m_main_v_state(s310, 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(s309, s310)) | m_main_v_state(s310, c_busy) | node1(s309) | m_main_v_state(s310, c_ready))),
% 14.80/10.53 inference(transitivity,[status(thm)],[36626, 36624])).
% 14.80/10.53 tff(36628,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s309) | m_main_v_state(s310, c_ready) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36629,plain,
% 14.80/10.53 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | node1(s309) | m_main_v_state(s310, c_ready)),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36628, 36627])).
% 14.80/10.53 tff(36630,plain,
% 14.80/10.53 (m_main_v_state(s310, c_busy) | node1(s309) | m_main_v_state(s310, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36629, 3551, 28900])).
% 14.80/10.53 tff(36631,plain,
% 14.80/10.53 (node1(s309)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36630, 36622, 36623])).
% 14.80/10.53 tff(36632,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s309, c_ready) | (~node1(s309)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s309, c_ready) | (~node1(s309)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36633,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s309, c_ready) | (~node1(s309)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36634,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s309, c_ready) | (~node1(s309))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36633, 36632])).
% 14.80/10.53 tff(36635,plain,
% 14.80/10.53 (m_main_v_state(s309, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36634, 3581, 36631])).
% 14.80/10.53 tff(36636,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s309) | (~node1(s309)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s309) | (~node1(s309)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36637,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s309) | (~node1(s309)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36638,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s309) | (~node1(s309))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36637, 36636])).
% 14.80/10.53 tff(36639,plain,
% 14.80/10.53 (m_main_v_request(s309)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36638, 3568, 36631])).
% 14.80/10.53 tff(36640,plain,
% 14.80/10.53 ($false),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28904, 36639, 36635, 36622])).
% 14.80/10.53 tff(36641,plain,(m_main_v_state(s310, c_busy) | m_main_v_state(s310, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.53 tff(36642,plain,
% 14.80/10.53 (m_main_v_state(s310, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36641, 36621])).
% 14.80/10.53 tff(36643,plain,
% 14.80/10.53 (~m_main_v_request(s310)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36547, 36642, 36620])).
% 14.80/10.53 tff(36644,plain,
% 14.80/10.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s310) | (~node4(s310)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s310) | (~node4(s310)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36645,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s310) | (~node4(s310)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36646,plain,
% 14.80/10.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s310) | (~node4(s310))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36645, 36644])).
% 14.80/10.53 tff(36647,plain,
% 14.80/10.53 (~node4(s310)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36646, 21, 36643])).
% 14.80/10.53 tff(36648,plain,
% 14.80/10.53 (xuntil6(s308) | (~until5(s308))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28017, 294, 32800])).
% 14.80/10.53 tff(36649,plain,
% 14.80/10.53 (xuntil6(s308)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36648, 26199])).
% 14.80/10.53 tff(36650,plain,
% 14.80/10.53 (until5(s309)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28023, 36649])).
% 14.80/10.53 tff(36651,plain,
% 14.80/10.53 (xuntil6(s309)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28918, 36650])).
% 14.80/10.53 tff(36652,plain,
% 14.80/10.53 (until5(s310)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28035, 36651])).
% 14.80/10.53 tff(36653,plain,
% 14.80/10.53 (xuntil6(s310) | node4(s310)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28046, 294, 36652])).
% 14.80/10.53 tff(36654,plain,
% 14.80/10.53 (xuntil6(s310)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36653, 36647])).
% 14.80/10.53 tff(36655,plain,
% 14.80/10.53 (until5(s311)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28052, 36654])).
% 14.80/10.53 tff(36656,plain,
% 14.80/10.53 (xuntil6(s335)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36559, 36655, 36614])).
% 14.80/10.53 tff(36657,plain,
% 14.80/10.53 (until5(s336)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28477, 36656])).
% 14.80/10.53 tff(36658,plain,
% 14.80/10.53 (xuntil6(s336)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28488, 294, 36657, 36619])).
% 14.80/10.53 tff(36659,plain,
% 14.80/10.53 (until5(s337)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28494, 36658])).
% 14.80/10.53 tff(36660,plain,
% 14.80/10.53 (always3(s338)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27654, 36616])).
% 14.80/10.53 tff(36661,plain,
% 14.80/10.53 (~m_main_v_state(s338, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34493, 85, 36660])).
% 14.80/10.53 tff(36662,plain,
% 14.80/10.53 (~node4(s337)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34522, 36661])).
% 14.80/10.53 tff(36663,plain,
% 14.80/10.53 (xuntil6(s337) | (~until5(s337))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28505, 294, 36662])).
% 14.80/10.53 tff(36664,plain,
% 14.80/10.53 (xuntil6(s337)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36663, 36659])).
% 14.80/10.53 tff(36665,plain,
% 14.80/10.53 (until5(s338)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28511, 36664])).
% 14.80/10.53 tff(36666,plain,
% 14.80/10.53 (always3(s339)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27642, 36660])).
% 14.80/10.53 tff(36667,plain,
% 14.80/10.53 (~m_main_v_state(s339, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[29152, 85, 36666])).
% 14.80/10.53 tff(36668,plain,
% 14.80/10.53 (m_main_v_state(s338, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34544, 36661])).
% 14.80/10.53 tff(36669,plain,
% 14.80/10.53 (~m_main_v_request(s338)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[29179, 36668, 36667])).
% 14.80/10.53 tff(36670,plain,
% 14.80/10.53 (~node4(s338)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34549, 21, 36669])).
% 14.80/10.53 tff(36671,plain,
% 14.80/10.53 (xuntil6(s338) | (~until5(s338))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28522, 294, 36670])).
% 14.80/10.53 tff(36672,plain,
% 14.80/10.53 (xuntil6(s338)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36671, 36665])).
% 14.80/10.53 tff(36673,plain,
% 14.80/10.53 (always3(s340)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27630, 36666])).
% 14.80/10.53 tff(36674,plain,
% 14.80/10.53 (always3(s341)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27618, 36673])).
% 14.80/10.53 tff(36675,plain,
% 14.80/10.53 (~m_main_v_state(s341, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[29113, 85, 36674])).
% 14.80/10.53 tff(36676,plain,
% 14.80/10.53 (m_main_v_state(s341, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34312, 36675])).
% 14.80/10.53 tff(36677,plain,
% 14.80/10.53 (always3(s342)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27606, 36674])).
% 14.80/10.53 tff(36678,plain,
% 14.80/10.53 (~m_main_v_state(s342, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34117, 85, 36677])).
% 14.80/10.53 tff(36679,plain,
% 14.80/10.53 (~m_main_v_request(s341)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34323, 36678, 36676])).
% 14.80/10.53 tff(36680,plain,
% 14.80/10.53 (~node4(s341)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34327, 21, 36679])).
% 14.80/10.53 tff(36681,plain,
% 14.80/10.53 (~until5(s356)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[32863, 31970, 26199])).
% 14.80/10.53 tff(36682,plain,
% 14.80/10.53 (~xuntil6(s355)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27378, 36681])).
% 14.80/10.53 tff(36683,plain,
% 14.80/10.53 (~until5(s354)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[33174, 36682, 26199])).
% 14.80/10.53 tff(36684,plain,
% 14.80/10.53 (~xuntil6(s353)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27436, 36683])).
% 14.80/10.53 tff(36685,plain,
% 14.80/10.53 (~until5(s353)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[33421, 36684, 26199])).
% 14.80/10.53 tff(36686,plain,
% 14.80/10.53 (~xuntil6(s352)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27465, 36685])).
% 14.80/10.53 tff(36687,plain,
% 14.80/10.53 (~until5(s352)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[32263, 36686])).
% 14.80/10.53 tff(36688,plain,
% 14.80/10.53 (~xuntil6(s351)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28749, 36687])).
% 14.80/10.53 tff(36689,plain,
% 14.80/10.53 (~until5(s351)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[33650, 36688, 26199])).
% 14.80/10.53 tff(36690,plain,
% 14.80/10.53 (~xuntil6(s350)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28732, 36689])).
% 14.80/10.53 tff(36691,plain,
% 14.80/10.53 (~until5(s350)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[29024, 36690])).
% 14.80/10.53 tff(36692,plain,
% 14.80/10.53 (~xuntil6(s349)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28715, 36691])).
% 14.80/10.53 tff(36693,plain,
% 14.80/10.53 (~until5(s346)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[33839, 36692])).
% 14.80/10.53 tff(36694,plain,
% 14.80/10.53 (~xuntil6(s345)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28647, 36693])).
% 14.80/10.53 tff(36695,plain,
% 14.80/10.53 (always3(s345)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34021, 36694, 26199])).
% 14.80/10.53 tff(36696,plain,
% 14.80/10.53 (~m_main_v_state(s345, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[29059, 85, 36695])).
% 14.80/10.53 tff(36697,plain,
% 14.80/10.53 (m_main_v_state(s345, c_ready)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34030, 36696])).
% 14.80/10.53 tff(36698,plain,
% 14.80/10.53 (always3(s346)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27558, 36695])).
% 14.80/10.53 tff(36699,plain,
% 14.80/10.53 (~m_main_v_state(s346, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[33837, 85, 36698])).
% 14.80/10.53 tff(36700,plain,
% 14.80/10.53 (~m_main_v_request(s345)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34041, 36699, 36697])).
% 14.80/10.53 tff(36701,plain,
% 14.80/10.53 (~node4(s345)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34045, 21, 36700])).
% 14.80/10.53 tff(36702,plain,
% 14.80/10.53 (node4(s345) | (~until5(s345))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28641, 294, 36694])).
% 14.80/10.53 tff(36703,plain,
% 14.80/10.53 (~until5(s345)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36702, 36701])).
% 14.80/10.53 tff(36704,plain,
% 14.80/10.53 (~xuntil6(s344)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28630, 36703])).
% 14.80/10.53 tff(36705,plain,
% 14.80/10.53 (~until5(s344)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[29086, 36704])).
% 14.80/10.53 tff(36706,plain,
% 14.80/10.53 (~xuntil6(s343)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28613, 36705])).
% 14.80/10.53 tff(36707,plain,
% 14.80/10.53 (~until5(s342)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[34123, 36706])).
% 14.80/10.53 tff(36708,plain,
% 14.80/10.53 (~xuntil6(s341)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28579, 36707])).
% 14.80/10.53 tff(36709,plain,
% 14.80/10.53 (~until5(s341)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28573, 294, 36708, 36680])).
% 14.80/10.53 tff(36710,plain,
% 14.80/10.53 (~xuntil6(s340)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28562, 36709])).
% 14.80/10.53 tff(36711,plain,
% 14.80/10.53 (~until5(s340)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[29136, 36710])).
% 14.80/10.53 tff(36712,plain,
% 14.80/10.53 (~xuntil6(s339)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28545, 36711])).
% 14.80/10.53 tff(36713,plain,
% 14.80/10.53 (~until5(s339)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[29193, 36712])).
% 14.80/10.53 tff(36714,plain,
% 14.80/10.53 ($false),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[28528, 36713, 36672])).
% 14.80/10.53 tff(36715,plain,(xuntil6(s362) | (~until5(s308))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.53 tff(36716,plain,
% 14.80/10.53 (xuntil6(s362)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36715, 26198])).
% 14.80/10.53 tff(36717,plain,
% 14.80/10.53 (until5(s363)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27175, 36716])).
% 14.80/10.53 tff(36718,assumption,(until5(s363)), introduced(assumption)).
% 14.80/10.53 tff(36719,assumption,(~xuntil6(s364)), introduced(assumption)).
% 14.80/10.53 tff(36720,assumption,(~always3(s364)), introduced(assumption)).
% 14.80/10.53 tff(36721,plain,
% 14.80/10.53 (~node4(s364)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27130, 36, 36720])).
% 14.80/10.53 tff(36722,plain,
% 14.80/10.53 (node4(s364) | (~until5(s364))),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27137, 294, 36719])).
% 14.80/10.53 tff(36723,plain,
% 14.80/10.53 (~until5(s364)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36722, 36721])).
% 14.80/10.53 tff(36724,plain,
% 14.80/10.53 (~always3(s363)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27155, 36720])).
% 14.80/10.53 tff(36725,plain,
% 14.80/10.53 (~node4(s363)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27159, 36, 36724])).
% 14.80/10.53 tff(36726,plain,
% 14.80/10.53 (xuntil6(s363) | node4(s363)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27166, 294, 36718])).
% 14.80/10.53 tff(36727,plain,
% 14.80/10.53 (xuntil6(s363)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36726, 36725])).
% 14.80/10.53 tff(36728,plain,
% 14.80/10.53 ($false),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27146, 36727, 36723])).
% 14.80/10.53 tff(36729,plain,(always3(s364) | (~until5(s363)) | xuntil6(s364)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.53 tff(36730,plain,
% 14.80/10.53 (always3(s364)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36729, 36719, 36718])).
% 14.80/10.53 tff(36731,plain,
% 14.80/10.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s364)) | (~m_main_v_state(s364, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s364)) | (~m_main_v_state(s364, c_busy)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36732,plain,
% 14.80/10.53 (((~m_main_v_state(s364, c_busy)) | (~always3(s364))) <=> ((~always3(s364)) | (~m_main_v_state(s364, c_busy)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36733,plain,
% 14.80/10.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s364, c_busy)) | (~always3(s364)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s364)) | (~m_main_v_state(s364, c_busy))))),
% 14.80/10.53 inference(monotonicity,[status(thm)],[36732])).
% 14.80/10.53 tff(36734,plain,
% 14.80/10.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s364, c_busy)) | (~always3(s364)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s364)) | (~m_main_v_state(s364, c_busy)))),
% 14.80/10.53 inference(transitivity,[status(thm)],[36733, 36731])).
% 14.80/10.53 tff(36735,plain,
% 14.80/10.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s364, c_busy)) | (~always3(s364)))),
% 14.80/10.53 inference(quant_inst,[status(thm)],[])).
% 14.80/10.53 tff(36736,plain,
% 14.80/10.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s364)) | (~m_main_v_state(s364, c_busy))),
% 14.80/10.53 inference(modus_ponens,[status(thm)],[36735, 36734])).
% 14.80/10.53 tff(36737,plain,
% 14.80/10.53 (~m_main_v_state(s364, c_busy)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[36736, 85, 36730])).
% 14.80/10.53 tff(36738,plain,
% 14.80/10.53 (always3(s365)),
% 14.80/10.53 inference(unit_resolution,[status(thm)],[27126, 36730])).
% 14.80/10.53 tff(36739,plain,
% 14.80/10.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s365)) | (~m_main_v_state(s365, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s365)) | (~m_main_v_state(s365, c_busy)))),
% 14.80/10.53 inference(rewrite,[status(thm)],[])).
% 14.80/10.53 tff(36740,plain,
% 14.80/10.53 (((~m_main_v_state(s365, c_busy)) | (~always3(s365))) <=> ((~always3(s365)) | (~m_main_v_state(s365, c_busy)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36741,plain,
% 14.80/10.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s365, c_busy)) | (~always3(s365)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s365)) | (~m_main_v_state(s365, c_busy))))),
% 14.80/10.54 inference(monotonicity,[status(thm)],[36740])).
% 14.80/10.54 tff(36742,plain,
% 14.80/10.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s365, c_busy)) | (~always3(s365)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s365)) | (~m_main_v_state(s365, c_busy)))),
% 14.80/10.54 inference(transitivity,[status(thm)],[36741, 36739])).
% 14.80/10.54 tff(36743,plain,
% 14.80/10.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s365, c_busy)) | (~always3(s365)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36744,plain,
% 14.80/10.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s365)) | (~m_main_v_state(s365, c_busy))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36743, 36742])).
% 14.80/10.54 tff(36745,plain,
% 14.80/10.54 (~m_main_v_state(s365, c_busy)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36744, 85, 36738])).
% 14.80/10.54 tff(36746,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s364, c_busy) | m_main_v_state(s364, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s364, c_busy) | m_main_v_state(s364, c_ready))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36747,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s364, c_busy) | m_main_v_state(s364, c_ready))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36748,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s364, c_busy) | m_main_v_state(s364, c_ready)),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36747, 36746])).
% 14.80/10.54 tff(36749,plain,
% 14.80/10.54 (m_main_v_state(s364, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36748, 102, 36737])).
% 14.80/10.54 tff(36750,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s364, s365)) | node2(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s364, s365)) | node2(s364, s365))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36751,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s364, s365)) | node2(s364, s365))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36752,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s364, s365)) | node2(s364, s365)),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36751, 36750])).
% 14.80/10.54 tff(36753,plain,
% 14.80/10.54 (node2(s364, s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36752, 7, 27122])).
% 14.80/10.54 tff(36754,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s364, c_ready)) | (~node2(s364, s365)) | m_main_v_state(s365, c_busy) | (~m_main_v_request(s364)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s364, c_ready)) | (~node2(s364, s365)) | m_main_v_state(s365, c_busy) | (~m_main_v_request(s364)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36755,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s364, c_ready)) | (~node2(s364, s365)) | m_main_v_state(s365, c_busy) | (~m_main_v_request(s364)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36756,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s364, c_ready)) | (~node2(s364, s365)) | m_main_v_state(s365, c_busy) | (~m_main_v_request(s364))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36755, 36754])).
% 14.80/10.54 tff(36757,plain,
% 14.80/10.54 ((~m_main_v_state(s364, c_ready)) | m_main_v_state(s365, c_busy) | (~m_main_v_request(s364))),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36756, 73, 36753])).
% 14.80/10.54 tff(36758,plain,
% 14.80/10.54 (~m_main_v_request(s364)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36757, 36749, 36745])).
% 14.80/10.54 tff(36759,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s364) | (~node4(s364)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s364) | (~node4(s364)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36760,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s364) | (~node4(s364)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36761,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s364) | (~node4(s364))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36760, 36759])).
% 14.80/10.54 tff(36762,plain,
% 14.80/10.54 (~node4(s364)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36761, 21, 36758])).
% 14.80/10.54 tff(36763,plain,
% 14.80/10.54 (~until5(s364)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36722, 36762])).
% 14.80/10.54 tff(36764,plain,
% 14.80/10.54 (~xuntil6(s363)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27146, 36763])).
% 14.80/10.54 tff(36765,plain,
% 14.80/10.54 (node4(s363)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36726, 36764])).
% 14.80/10.54 tff(36766,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s363) | (~node4(s363)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s363) | (~node4(s363)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36767,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s363) | (~node4(s363)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36768,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s363) | (~node4(s363))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36767, 36766])).
% 14.80/10.54 tff(36769,plain,
% 14.80/10.54 (m_main_v_request(s363)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36768, 21, 36765])).
% 14.80/10.54 tff(36770,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s363, s364)) | node2(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s363, s364)) | node2(s363, s364))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36771,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s363, s364)) | node2(s363, s364))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36772,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s363, s364)) | node2(s363, s364)),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36771, 36770])).
% 14.80/10.54 tff(36773,plain,
% 14.80/10.54 (node2(s363, s364)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36772, 7, 27151])).
% 14.80/10.54 tff(36774,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s363, c_ready)) | (~node2(s363, s364)) | m_main_v_state(s364, c_busy) | (~m_main_v_request(s363)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s363, c_ready)) | (~node2(s363, s364)) | m_main_v_state(s364, c_busy) | (~m_main_v_request(s363)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36775,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s363, c_ready)) | (~node2(s363, s364)) | m_main_v_state(s364, c_busy) | (~m_main_v_request(s363)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36776,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s363, c_ready)) | (~node2(s363, s364)) | m_main_v_state(s364, c_busy) | (~m_main_v_request(s363))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36775, 36774])).
% 14.80/10.54 tff(36777,plain,
% 14.80/10.54 ((~m_main_v_state(s363, c_ready)) | m_main_v_state(s364, c_busy) | (~m_main_v_request(s363))),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36776, 73, 36773])).
% 14.80/10.54 tff(36778,plain,
% 14.80/10.54 (~m_main_v_state(s363, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36777, 36769, 36737])).
% 14.80/10.54 tff(36779,plain,
% 14.80/10.54 (always3(s363)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27159, 36, 36765])).
% 14.80/10.54 tff(36780,plain,
% 14.80/10.54 (~m_main_v_state(s363, c_busy)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[32693, 85, 36779])).
% 14.80/10.54 tff(36781,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s363, c_busy) | m_main_v_state(s363, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s363, c_busy) | m_main_v_state(s363, c_ready))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36782,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s363, c_busy) | m_main_v_state(s363, c_ready))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36783,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s363, c_busy) | m_main_v_state(s363, c_ready)),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36782, 36781])).
% 14.80/10.54 tff(36784,plain,
% 14.80/10.54 ($false),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36783, 102, 36780, 36778])).
% 14.80/10.54 tff(36785,plain,(xuntil6(s364) | (~until5(s363))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.54 tff(36786,plain,
% 14.80/10.54 (xuntil6(s364)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36785, 36717])).
% 14.80/10.54 tff(36787,plain,
% 14.80/10.54 (until5(s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27117, 36786])).
% 14.80/10.54 tff(36788,plain,
% 14.80/10.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s366)) | (~m_main_v_state(s366, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s366)) | (~m_main_v_state(s366, c_busy)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36789,plain,
% 14.80/10.54 (((~m_main_v_state(s366, c_busy)) | (~always3(s366))) <=> ((~always3(s366)) | (~m_main_v_state(s366, c_busy)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36790,plain,
% 14.80/10.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s366, c_busy)) | (~always3(s366)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s366)) | (~m_main_v_state(s366, c_busy))))),
% 14.80/10.54 inference(monotonicity,[status(thm)],[36789])).
% 14.80/10.54 tff(36791,plain,
% 14.80/10.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s366, c_busy)) | (~always3(s366)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s366)) | (~m_main_v_state(s366, c_busy)))),
% 14.80/10.54 inference(transitivity,[status(thm)],[36790, 36788])).
% 14.80/10.54 tff(36792,plain,
% 14.80/10.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s366, c_busy)) | (~always3(s366)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36793,plain,
% 14.80/10.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s366)) | (~m_main_v_state(s366, c_busy))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36792, 36791])).
% 14.80/10.54 tff(36794,plain,
% 14.80/10.54 (~m_main_v_state(s366, c_busy)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36793, 85, 31895])).
% 14.80/10.54 tff(36795,assumption,(~m_main_v_state(s366, c_busy)), introduced(assumption)).
% 14.80/10.54 tff(36796,assumption,(~m_main_v_state(s366, c_ready)), introduced(assumption)).
% 14.80/10.54 tff(36797,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s365, s366)) | node2(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s365, s366)) | node2(s365, s366))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36798,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s365, s366)) | node2(s365, s366))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36799,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s365, s366)) | node2(s365, s366)),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36798, 36797])).
% 14.80/10.54 tff(36800,plain,
% 14.80/10.54 (node2(s365, s366)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36799, 7, 27093])).
% 14.80/10.54 tff(36801,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s365, s366)) | m_main_v_state(s366, c_busy) | node1(s365) | m_main_v_state(s366, 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(s365, s366)) | m_main_v_state(s366, c_busy) | node1(s365) | m_main_v_state(s366, c_ready))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36802,plain,
% 14.80/10.54 ((node1(s365) | m_main_v_state(s366, c_ready) | (~node2(s365, s366)) | m_main_v_state(s366, c_busy)) <=> ((~node2(s365, s366)) | m_main_v_state(s366, c_busy) | node1(s365) | m_main_v_state(s366, c_ready))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36803,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s365) | m_main_v_state(s366, c_ready) | (~node2(s365, s366)) | m_main_v_state(s366, 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(s365, s366)) | m_main_v_state(s366, c_busy) | node1(s365) | m_main_v_state(s366, c_ready)))),
% 14.80/10.54 inference(monotonicity,[status(thm)],[36802])).
% 14.80/10.54 tff(36804,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s365) | m_main_v_state(s366, c_ready) | (~node2(s365, s366)) | m_main_v_state(s366, 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(s365, s366)) | m_main_v_state(s366, c_busy) | node1(s365) | m_main_v_state(s366, c_ready))),
% 14.80/10.54 inference(transitivity,[status(thm)],[36803, 36801])).
% 14.80/10.54 tff(36805,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s365) | m_main_v_state(s366, c_ready) | (~node2(s365, s366)) | m_main_v_state(s366, c_busy))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36806,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s365, s366)) | m_main_v_state(s366, c_busy) | node1(s365) | m_main_v_state(s366, c_ready)),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36805, 36804])).
% 14.80/10.54 tff(36807,plain,
% 14.80/10.54 (m_main_v_state(s366, c_busy) | node1(s365) | m_main_v_state(s366, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36806, 3551, 36800])).
% 14.80/10.54 tff(36808,plain,
% 14.80/10.54 (node1(s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36807, 36795, 36796])).
% 14.80/10.54 tff(36809,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s365, c_ready) | (~node1(s365)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s365, c_ready) | (~node1(s365)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36810,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s365, c_ready) | (~node1(s365)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36811,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s365, c_ready) | (~node1(s365))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36810, 36809])).
% 14.80/10.54 tff(36812,plain,
% 14.80/10.54 (m_main_v_state(s365, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36811, 3581, 36808])).
% 14.80/10.54 tff(36813,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s365) | (~node1(s365)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s365) | (~node1(s365)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36814,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s365) | (~node1(s365)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36815,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s365) | (~node1(s365))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36814, 36813])).
% 14.80/10.54 tff(36816,plain,
% 14.80/10.54 (m_main_v_request(s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36815, 3568, 36808])).
% 14.80/10.54 tff(36817,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s365, c_ready)) | (~node2(s365, s366)) | m_main_v_state(s366, c_busy) | (~m_main_v_request(s365)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s365, c_ready)) | (~node2(s365, s366)) | m_main_v_state(s366, c_busy) | (~m_main_v_request(s365)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36818,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s365, c_ready)) | (~node2(s365, s366)) | m_main_v_state(s366, c_busy) | (~m_main_v_request(s365)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36819,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s365, c_ready)) | (~node2(s365, s366)) | m_main_v_state(s366, c_busy) | (~m_main_v_request(s365))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36818, 36817])).
% 14.80/10.54 tff(36820,plain,
% 14.80/10.54 ((~m_main_v_state(s365, c_ready)) | m_main_v_state(s366, c_busy) | (~m_main_v_request(s365))),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36819, 73, 36800])).
% 14.80/10.54 tff(36821,plain,
% 14.80/10.54 ($false),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36820, 36816, 36812, 36795])).
% 14.80/10.54 tff(36822,plain,(m_main_v_state(s366, c_busy) | m_main_v_state(s366, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.54 tff(36823,plain,
% 14.80/10.54 (m_main_v_state(s366, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36822, 36794])).
% 14.80/10.54 tff(36824,assumption,(node4(s365)), introduced(assumption)).
% 14.80/10.54 tff(36825,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s365) | (~node4(s365)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s365) | (~node4(s365)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36826,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s365) | (~node4(s365)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36827,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s365) | (~node4(s365))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36826, 36825])).
% 14.80/10.54 tff(36828,plain,
% 14.80/10.54 (m_main_v_request(s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36827, 21, 36824])).
% 14.80/10.54 tff(36829,plain,
% 14.80/10.54 (~m_main_v_state(s365, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36820, 36828, 36795])).
% 14.80/10.54 tff(36830,assumption,(~m_main_v_state(s365, c_busy)), introduced(assumption)).
% 14.80/10.54 tff(36831,assumption,(~m_main_v_state(s365, c_ready)), introduced(assumption)).
% 14.80/10.54 tff(36832,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s364, s365)) | m_main_v_state(s365, c_busy) | node1(s364) | m_main_v_state(s365, 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(s364, s365)) | m_main_v_state(s365, c_busy) | node1(s364) | m_main_v_state(s365, c_ready))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36833,plain,
% 14.80/10.54 ((node1(s364) | m_main_v_state(s365, c_ready) | (~node2(s364, s365)) | m_main_v_state(s365, c_busy)) <=> ((~node2(s364, s365)) | m_main_v_state(s365, c_busy) | node1(s364) | m_main_v_state(s365, c_ready))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36834,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s364) | m_main_v_state(s365, c_ready) | (~node2(s364, s365)) | m_main_v_state(s365, 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(s364, s365)) | m_main_v_state(s365, c_busy) | node1(s364) | m_main_v_state(s365, c_ready)))),
% 14.80/10.54 inference(monotonicity,[status(thm)],[36833])).
% 14.80/10.54 tff(36835,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s364) | m_main_v_state(s365, c_ready) | (~node2(s364, s365)) | m_main_v_state(s365, 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(s364, s365)) | m_main_v_state(s365, c_busy) | node1(s364) | m_main_v_state(s365, c_ready))),
% 14.80/10.54 inference(transitivity,[status(thm)],[36834, 36832])).
% 14.80/10.54 tff(36836,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s364) | m_main_v_state(s365, c_ready) | (~node2(s364, s365)) | m_main_v_state(s365, c_busy))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36837,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s364, s365)) | m_main_v_state(s365, c_busy) | node1(s364) | m_main_v_state(s365, c_ready)),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36836, 36835])).
% 14.80/10.54 tff(36838,plain,
% 14.80/10.54 (m_main_v_state(s365, c_busy) | node1(s364) | m_main_v_state(s365, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36837, 3551, 36753])).
% 14.80/10.54 tff(36839,plain,
% 14.80/10.54 (node1(s364)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36838, 36830, 36831])).
% 14.80/10.54 tff(36840,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s364, c_ready) | (~node1(s364)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s364, c_ready) | (~node1(s364)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36841,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s364, c_ready) | (~node1(s364)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36842,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s364, c_ready) | (~node1(s364))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36841, 36840])).
% 14.80/10.54 tff(36843,plain,
% 14.80/10.54 (m_main_v_state(s364, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36842, 3581, 36839])).
% 14.80/10.54 tff(36844,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s364) | (~node1(s364)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s364) | (~node1(s364)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36845,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s364) | (~node1(s364)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36846,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s364) | (~node1(s364))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36845, 36844])).
% 14.80/10.54 tff(36847,plain,
% 14.80/10.54 (m_main_v_request(s364)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36846, 3568, 36839])).
% 14.80/10.54 tff(36848,plain,
% 14.80/10.54 ($false),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36757, 36847, 36843, 36830])).
% 14.80/10.54 tff(36849,plain,(m_main_v_state(s365, c_busy) | m_main_v_state(s365, c_ready)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.54 tff(36850,plain,
% 14.80/10.54 (m_main_v_state(s365, c_busy)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36849, 36829])).
% 14.80/10.54 tff(36851,plain,
% 14.80/10.54 (always3(s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27101, 36, 36824])).
% 14.80/10.54 tff(36852,plain,
% 14.80/10.54 ($false),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36744, 85, 36851, 36850])).
% 14.80/10.54 tff(36853,plain,((~node4(s365)) | m_main_v_state(s366, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.54 tff(36854,plain,
% 14.80/10.54 (~node4(s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36853, 36794])).
% 14.80/10.54 tff(36855,assumption,(until5(s365)), introduced(assumption)).
% 14.80/10.54 tff(36856,plain,
% 14.80/10.54 (xuntil6(s365) | node4(s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27108, 294, 36855])).
% 14.80/10.54 tff(36857,plain,
% 14.80/10.54 (xuntil6(s365)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36856, 36854])).
% 14.80/10.54 tff(36858,plain,
% 14.80/10.54 (until5(s366)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27088, 36857])).
% 14.80/10.54 tff(36859,assumption,(until5(s366)), introduced(assumption)).
% 14.80/10.54 tff(36860,plain,
% 14.80/10.54 (xuntil6(s366) | node4(s366)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27079, 294, 36859])).
% 14.80/10.54 tff(36861,plain,
% 14.80/10.54 (node4(s366)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36860, 28923])).
% 14.80/10.54 tff(36862,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s366) | (~node4(s366)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s366) | (~node4(s366)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36863,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s366) | (~node4(s366)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36864,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s366) | (~node4(s366))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36863, 36862])).
% 14.80/10.54 tff(36865,plain,
% 14.80/10.54 (m_main_v_request(s366)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36864, 21, 36861])).
% 14.80/10.54 tff(36866,plain,
% 14.80/10.54 (always3(s366)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[29311, 28923, 29198])).
% 14.80/10.54 tff(36867,plain,
% 14.80/10.54 (always3(s367)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27068, 36866])).
% 14.80/10.54 tff(36868,plain,
% 14.80/10.54 (~m_main_v_state(s367, c_busy)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[29333, 85, 36867])).
% 14.80/10.54 tff(36869,plain,
% 14.80/10.54 ($false),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[29354, 36868, 36865, 29350])).
% 14.80/10.54 tff(36870,plain,(xuntil6(s366) | (~m_main_v_state(s366, c_ready)) | (~until5(s366)) | (~until5(s310))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.54 tff(36871,plain,
% 14.80/10.54 (xuntil6(s366)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36870, 36858, 36652, 36823])).
% 14.80/10.54 tff(36872,plain,
% 14.80/10.54 (until5(s367)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27059, 36871])).
% 14.80/10.54 tff(36873,plain,
% 14.80/10.54 (xuntil6(s367)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[29378, 36872])).
% 14.80/10.54 tff(36874,plain,
% 14.80/10.54 (until5(s368)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27030, 36873])).
% 14.80/10.54 tff(36875,plain,
% 14.80/10.54 (xuntil6(s368)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[29427, 36874])).
% 14.80/10.54 tff(36876,plain,
% 14.80/10.54 (until5(s369)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[27001, 36875])).
% 14.80/10.54 tff(36877,plain,
% 14.80/10.54 (xuntil6(s371)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[29545, 36876])).
% 14.80/10.54 tff(36878,plain,
% 14.80/10.54 (until5(s372)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26914, 36877])).
% 14.80/10.54 tff(36879,plain,
% 14.80/10.54 (xuntil6(s375)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[29720, 36878, 36876])).
% 14.80/10.54 tff(36880,plain,
% 14.80/10.54 (until5(s376)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26798, 36879])).
% 14.80/10.54 tff(36881,plain,
% 14.80/10.54 (xuntil6(s377)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[29790, 36880])).
% 14.80/10.54 tff(36882,plain,
% 14.80/10.54 (until5(s378)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26740, 36881])).
% 14.80/10.54 tff(36883,plain,
% 14.80/10.54 (~until5(s394)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[31870, 28815, 26199, 31854])).
% 14.80/10.54 tff(36884,plain,
% 14.80/10.54 (~xuntil6(s393)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26276, 36883])).
% 14.80/10.54 tff(36885,plain,
% 14.80/10.54 (xuntil6(s393) | (~until5(s393))),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26296, 294, 28878])).
% 14.80/10.54 tff(36886,plain,
% 14.80/10.54 (~until5(s393)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36885, 36884])).
% 14.80/10.54 tff(36887,plain,
% 14.80/10.54 (~xuntil6(s392)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26305, 36886])).
% 14.80/10.54 tff(36888,plain,
% 14.80/10.54 (~until5(s389)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[31370, 36887, 26199])).
% 14.80/10.54 tff(36889,plain,
% 14.80/10.54 (~xuntil6(s388)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26421, 36888])).
% 14.80/10.54 tff(36890,plain,
% 14.80/10.54 (~until5(s387)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[30353, 36876, 36889, 26199])).
% 14.80/10.54 tff(36891,plain,
% 14.80/10.54 (~xuntil6(s386)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26479, 36890])).
% 14.80/10.54 tff(36892,plain,
% 14.80/10.54 (~until5(s382)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[30555, 36891])).
% 14.80/10.54 tff(36893,plain,
% 14.80/10.54 (~xuntil6(s381)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26624, 36892])).
% 14.80/10.54 tff(36894,plain,
% 14.80/10.54 (~until5(s380)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[30682, 36893, 36876])).
% 14.80/10.54 tff(36895,plain,
% 14.80/10.54 (~xuntil6(s379)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[26682, 36894])).
% 14.80/10.54 tff(36896,plain,
% 14.80/10.54 ($false),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[30798, 36895, 36882, 36876])).
% 14.80/10.54 tff(36897,plain,(xuntil6(s394) | (~until5(s308)) | (~until5(s365)) | node4(s393) | (~m_main_v_state(s393, c_ready))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.54 tff(36898,plain,
% 14.80/10.54 (xuntil6(s394) | node4(s393) | (~m_main_v_state(s393, c_ready))),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36897, 26198, 36787])).
% 14.80/10.54 tff(36899,plain,
% 14.80/10.54 (~m_main_v_state(s393, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36898, 31969, 28815])).
% 14.80/10.54 tff(36900,assumption,(~m_main_v_state(s393, c_ready)), introduced(assumption)).
% 14.80/10.54 tff(36901,assumption,(~m_main_v_state(s393, c_busy)), introduced(assumption)).
% 14.80/10.54 tff(36902,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s392, s393)) | m_main_v_state(s393, c_busy) | node1(s392) | m_main_v_state(s393, 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(s392, s393)) | m_main_v_state(s393, c_busy) | node1(s392) | m_main_v_state(s393, c_ready))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36903,plain,
% 14.80/10.54 ((node1(s392) | m_main_v_state(s393, c_ready) | (~node2(s392, s393)) | m_main_v_state(s393, c_busy)) <=> ((~node2(s392, s393)) | m_main_v_state(s393, c_busy) | node1(s392) | m_main_v_state(s393, c_ready))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36904,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s392) | m_main_v_state(s393, c_ready) | (~node2(s392, s393)) | m_main_v_state(s393, 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(s392, s393)) | m_main_v_state(s393, c_busy) | node1(s392) | m_main_v_state(s393, c_ready)))),
% 14.80/10.54 inference(monotonicity,[status(thm)],[36903])).
% 14.80/10.54 tff(36905,plain,
% 14.80/10.54 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s392) | m_main_v_state(s393, c_ready) | (~node2(s392, s393)) | m_main_v_state(s393, 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(s392, s393)) | m_main_v_state(s393, c_busy) | node1(s392) | m_main_v_state(s393, c_ready))),
% 14.80/10.54 inference(transitivity,[status(thm)],[36904, 36902])).
% 14.80/10.54 tff(36906,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s392) | m_main_v_state(s393, c_ready) | (~node2(s392, s393)) | m_main_v_state(s393, c_busy))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36907,plain,
% 14.80/10.54 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s392, s393)) | m_main_v_state(s393, c_busy) | node1(s392) | m_main_v_state(s393, c_ready)),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36906, 36905])).
% 14.80/10.54 tff(36908,plain,
% 14.80/10.54 (m_main_v_state(s393, c_busy) | node1(s392) | m_main_v_state(s393, c_ready)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36907, 3551, 31246])).
% 14.80/10.54 tff(36909,plain,
% 14.80/10.54 (node1(s392)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36908, 36901, 36900])).
% 14.80/10.54 tff(36910,assumption,(m_main_v_state(s392, c_ready)), introduced(assumption)).
% 14.80/10.54 tff(36911,plain,
% 14.80/10.54 (~m_main_v_request(s392)),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[31250, 36901, 36910])).
% 14.80/10.54 tff(36912,plain,
% 14.80/10.54 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s392) | (~node1(s392)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s392) | (~node1(s392)))),
% 14.80/10.54 inference(rewrite,[status(thm)],[])).
% 14.80/10.54 tff(36913,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s392) | (~node1(s392)))),
% 14.80/10.54 inference(quant_inst,[status(thm)],[])).
% 14.80/10.54 tff(36914,plain,
% 14.80/10.54 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s392) | (~node1(s392))),
% 14.80/10.54 inference(modus_ponens,[status(thm)],[36913, 36912])).
% 14.80/10.54 tff(36915,plain,
% 14.80/10.54 ($false),
% 14.80/10.54 inference(unit_resolution,[status(thm)],[36914, 3568, 36911, 36909])).
% 14.80/10.54 tff(36916,plain,(m_main_v_state(s393, c_busy) | m_main_v_state(s393, c_ready) | (~m_main_v_state(s392, c_ready))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.55 tff(36917,plain,
% 14.80/10.55 (~m_main_v_state(s392, c_ready)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36916, 36899, 31965])).
% 14.80/10.55 tff(36918,assumption,(~m_main_v_state(s392, c_ready)), introduced(assumption)).
% 14.80/10.55 tff(36919,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s391, s392)) | m_main_v_state(s392, c_busy) | node1(s391) | m_main_v_state(s392, 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(s391, s392)) | m_main_v_state(s392, c_busy) | node1(s391) | m_main_v_state(s392, c_ready))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36920,plain,
% 14.80/10.55 ((node1(s391) | m_main_v_state(s392, c_ready) | (~node2(s391, s392)) | m_main_v_state(s392, c_busy)) <=> ((~node2(s391, s392)) | m_main_v_state(s392, c_busy) | node1(s391) | m_main_v_state(s392, c_ready))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36921,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s391) | m_main_v_state(s392, c_ready) | (~node2(s391, s392)) | m_main_v_state(s392, 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(s391, s392)) | m_main_v_state(s392, c_busy) | node1(s391) | m_main_v_state(s392, c_ready)))),
% 14.80/10.55 inference(monotonicity,[status(thm)],[36920])).
% 14.80/10.55 tff(36922,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s391) | m_main_v_state(s392, c_ready) | (~node2(s391, s392)) | m_main_v_state(s392, 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(s391, s392)) | m_main_v_state(s392, c_busy) | node1(s391) | m_main_v_state(s392, c_ready))),
% 14.80/10.55 inference(transitivity,[status(thm)],[36921, 36919])).
% 14.80/10.55 tff(36923,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s391) | m_main_v_state(s392, c_ready) | (~node2(s391, s392)) | m_main_v_state(s392, c_busy))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36924,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s391, s392)) | m_main_v_state(s392, c_busy) | node1(s391) | m_main_v_state(s392, c_ready)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36923, 36922])).
% 14.80/10.55 tff(36925,plain,
% 14.80/10.55 (m_main_v_state(s392, c_busy) | node1(s391) | m_main_v_state(s392, c_ready)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36924, 3551, 31297])).
% 14.80/10.55 tff(36926,plain,
% 14.80/10.55 (node1(s391)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36925, 31266, 36918])).
% 14.80/10.55 tff(36927,assumption,(m_main_v_state(s391, c_ready)), introduced(assumption)).
% 14.80/10.55 tff(36928,plain,
% 14.80/10.55 (~m_main_v_request(s391)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[31301, 31266, 36927])).
% 14.80/10.55 tff(36929,plain,
% 14.80/10.55 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s391) | (~node1(s391)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s391) | (~node1(s391)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36930,plain,
% 14.80/10.55 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s391) | (~node1(s391)))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36931,plain,
% 14.80/10.55 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s391) | (~node1(s391))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36930, 36929])).
% 14.80/10.55 tff(36932,plain,
% 14.80/10.55 ($false),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36931, 3568, 36928, 36926])).
% 14.80/10.55 tff(36933,plain,(m_main_v_state(s392, c_busy) | m_main_v_state(s392, c_ready) | (~m_main_v_state(s391, c_ready))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.55 tff(36934,plain,
% 14.80/10.55 ($false),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36933, 36917, 31963, 31922])).
% 14.80/10.55 tff(36935,plain,(xuntil6(s394)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.55 tff(36936,plain,
% 14.80/10.55 (until5(s395)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26247, 36935])).
% 14.80/10.55 tff(36937,plain,
% 14.80/10.55 (xuntil6(s395) | node4(s395)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26239, 294, 36936])).
% 14.80/10.55 tff(36938,plain,
% 14.80/10.55 (node4(s395)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36937, 28814])).
% 14.80/10.55 tff(36939,assumption,(~m_main_v_state(s396, c_busy)), introduced(assumption)).
% 14.80/10.55 tff(36940,assumption,(node4(s395)), introduced(assumption)).
% 14.80/10.55 tff(36941,plain,
% 14.80/10.55 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s395) | (~node4(s395)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s395) | (~node4(s395)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36942,plain,
% 14.80/10.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s395) | (~node4(s395)))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36943,plain,
% 14.80/10.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s395) | (~node4(s395))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36942, 36941])).
% 14.80/10.55 tff(36944,plain,
% 14.80/10.55 (m_main_v_request(s395)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36943, 21, 36940])).
% 14.80/10.55 tff(36945,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s395, s396)) | node2(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s395, s396)) | node2(s395, s396))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36946,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s395, s396)) | node2(s395, s396))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36947,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s395, s396)) | node2(s395, s396)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36946, 36945])).
% 14.80/10.55 tff(36948,plain,
% 14.80/10.55 (node2(s395, s396)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36947, 7, 26207])).
% 14.80/10.55 tff(36949,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s395, c_ready)) | (~node2(s395, s396)) | m_main_v_state(s396, c_busy) | (~m_main_v_request(s395)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s395, c_ready)) | (~node2(s395, s396)) | m_main_v_state(s396, c_busy) | (~m_main_v_request(s395)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36950,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s395, c_ready)) | (~node2(s395, s396)) | m_main_v_state(s396, c_busy) | (~m_main_v_request(s395)))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36951,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s395, c_ready)) | (~node2(s395, s396)) | m_main_v_state(s396, c_busy) | (~m_main_v_request(s395))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36950, 36949])).
% 14.80/10.55 tff(36952,plain,
% 14.80/10.55 ((~m_main_v_state(s395, c_ready)) | m_main_v_state(s396, c_busy) | (~m_main_v_request(s395))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36951, 73, 36948])).
% 14.80/10.55 tff(36953,plain,
% 14.80/10.55 (~m_main_v_state(s395, c_ready)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36952, 36944, 36939])).
% 14.80/10.55 tff(36954,plain,
% 14.80/10.55 (always3(s395)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26215, 36, 36940])).
% 14.80/10.55 tff(36955,plain,
% 14.80/10.55 (~m_main_v_state(s395, c_busy)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[31815, 85, 36954])).
% 14.80/10.55 tff(36956,plain,
% 14.80/10.55 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s395, c_busy) | m_main_v_state(s395, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s395, c_busy) | m_main_v_state(s395, c_ready))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36957,plain,
% 14.80/10.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s395, c_busy) | m_main_v_state(s395, c_ready))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36958,plain,
% 14.80/10.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s395, c_busy) | m_main_v_state(s395, c_ready)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36957, 36956])).
% 14.80/10.55 tff(36959,plain,
% 14.80/10.55 ($false),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36958, 102, 36955, 36953])).
% 14.80/10.55 tff(36960,plain,((~node4(s395)) | m_main_v_state(s396, c_busy)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.55 tff(36961,plain,
% 14.80/10.55 (m_main_v_state(s396, c_busy)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36960, 36938])).
% 14.80/10.55 tff(36962,plain,
% 14.80/10.55 (always3(s396) | xuntil6(s396)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28763, 26198])).
% 14.80/10.55 tff(36963,plain,
% 14.80/10.55 (always3(s396)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36962, 28])).
% 14.80/10.55 tff(36964,plain,
% 14.80/10.55 ($false),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28805, 85, 36963, 36961])).
% 14.80/10.55 tff(36965,plain,(xuntil6(s396)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.55 tff(36966,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s396, s397)) | (~xuntil6(s396)) | until5(s397))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s396, s397)) | (~xuntil6(s396)) | until5(s397))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36967,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s396, s397)) | (~xuntil6(s396)) | until5(s397))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36968,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s396, s397)) | (~xuntil6(s396)) | until5(s397)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36967, 36966])).
% 14.80/10.55 tff(36969,plain,
% 14.80/10.55 ((~xuntil6(s396)) | until5(s397)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36968, 28767, 312])).
% 14.80/10.55 tff(36970,plain,
% 14.80/10.55 (until5(s397)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36969, 36965])).
% 14.80/10.55 tff(36971,assumption,(~xuntil6(s398)), introduced(assumption)).
% 14.80/10.55 tff(36972,assumption,(until5(s397)), introduced(assumption)).
% 14.80/10.55 tff(36973,assumption,(~always3(s398)), introduced(assumption)).
% 14.80/10.55 tff(36974,plain,
% 14.80/10.55 (succ(s397, s398) <=> succ(s397, s398)),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36975,axiom,(succ(s397, s398)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound398')).
% 14.80/10.55 tff(36976,plain,
% 14.80/10.55 (succ(s397, s398)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36975, 36974])).
% 14.80/10.55 tff(36977,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s397, s398)) | trans(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s397, s398)) | trans(s397, s398))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36978,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s397, s398)) | trans(s397, s398))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36979,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s397, s398)) | trans(s397, s398)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36978, 36977])).
% 14.80/10.55 tff(36980,plain,
% 14.80/10.55 (trans(s397, s398)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36979, 36976, 52])).
% 14.80/10.55 tff(36981,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s397, s398)) | (~always3(s397)) | always3(s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s397, s398)) | (~always3(s397)) | always3(s398))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36982,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s397, s398)) | (~always3(s397)) | always3(s398))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36983,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s397, s398)) | (~always3(s397)) | always3(s398)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36982, 36981])).
% 14.80/10.55 tff(36984,plain,
% 14.80/10.55 ((~always3(s397)) | always3(s398)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36983, 125, 36980])).
% 14.80/10.55 tff(36985,plain,
% 14.80/10.55 (~always3(s397)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36984, 36973])).
% 14.80/10.55 tff(36986,plain,
% 14.80/10.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s397) | (~node4(s397)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s397) | (~node4(s397)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36987,plain,
% 14.80/10.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s397) | (~node4(s397)))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36988,plain,
% 14.80/10.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s397) | (~node4(s397))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36987, 36986])).
% 14.80/10.55 tff(36989,plain,
% 14.80/10.55 (~node4(s397)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36988, 36, 36985])).
% 14.80/10.55 tff(36990,plain,
% 14.80/10.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s397) | node4(s397) | (~until5(s397)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s397) | node4(s397) | (~until5(s397)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36991,plain,
% 14.80/10.55 ((node4(s397) | (~until5(s397)) | xuntil6(s397)) <=> (xuntil6(s397) | node4(s397) | (~until5(s397)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36992,plain,
% 14.80/10.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s397) | (~until5(s397)) | xuntil6(s397))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s397) | node4(s397) | (~until5(s397))))),
% 14.80/10.55 inference(monotonicity,[status(thm)],[36991])).
% 14.80/10.55 tff(36993,plain,
% 14.80/10.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s397) | (~until5(s397)) | xuntil6(s397))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s397) | node4(s397) | (~until5(s397)))),
% 14.80/10.55 inference(transitivity,[status(thm)],[36992, 36990])).
% 14.80/10.55 tff(36994,plain,
% 14.80/10.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s397) | (~until5(s397)) | xuntil6(s397))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(36995,plain,
% 14.80/10.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s397) | node4(s397) | (~until5(s397))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36994, 36993])).
% 14.80/10.55 tff(36996,plain,
% 14.80/10.55 (xuntil6(s397) | node4(s397)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36995, 294, 36972])).
% 14.80/10.55 tff(36997,plain,
% 14.80/10.55 (xuntil6(s397)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36996, 36989])).
% 14.80/10.55 tff(36998,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s397, s398)) | (~xuntil6(s397)) | until5(s398))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s397, s398)) | (~xuntil6(s397)) | until5(s398))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(36999,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s397, s398)) | (~xuntil6(s397)) | until5(s398))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(37000,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s397, s398)) | (~xuntil6(s397)) | until5(s398)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[36999, 36998])).
% 14.80/10.55 tff(37001,plain,
% 14.80/10.55 ((~xuntil6(s397)) | until5(s398)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37000, 36976, 312])).
% 14.80/10.55 tff(37002,plain,
% 14.80/10.55 (until5(s398)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37001, 36997])).
% 14.80/10.55 tff(37003,plain,
% 14.80/10.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s398) | node4(s398) | (~until5(s398)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s398) | node4(s398) | (~until5(s398)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37004,plain,
% 14.80/10.55 ((node4(s398) | (~until5(s398)) | xuntil6(s398)) <=> (xuntil6(s398) | node4(s398) | (~until5(s398)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37005,plain,
% 14.80/10.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s398) | (~until5(s398)) | xuntil6(s398))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s398) | node4(s398) | (~until5(s398))))),
% 14.80/10.55 inference(monotonicity,[status(thm)],[37004])).
% 14.80/10.55 tff(37006,plain,
% 14.80/10.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s398) | (~until5(s398)) | xuntil6(s398))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s398) | node4(s398) | (~until5(s398)))),
% 14.80/10.55 inference(transitivity,[status(thm)],[37005, 37003])).
% 14.80/10.55 tff(37007,plain,
% 14.80/10.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s398) | (~until5(s398)) | xuntil6(s398))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(37008,plain,
% 14.80/10.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s398) | node4(s398) | (~until5(s398))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[37007, 37006])).
% 14.80/10.55 tff(37009,plain,
% 14.80/10.55 (node4(s398) | (~until5(s398))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37008, 294, 36971])).
% 14.80/10.55 tff(37010,plain,
% 14.80/10.55 (node4(s398)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37009, 37002])).
% 14.80/10.55 tff(37011,plain,
% 14.80/10.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s398) | (~node4(s398)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s398) | (~node4(s398)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37012,plain,
% 14.80/10.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s398) | (~node4(s398)))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(37013,plain,
% 14.80/10.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s398) | (~node4(s398))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[37012, 37011])).
% 14.80/10.55 tff(37014,plain,
% 14.80/10.55 ($false),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37013, 36, 36973, 37010])).
% 14.80/10.55 tff(37015,plain,(always3(s398) | xuntil6(s398) | (~until5(s397))), inference(lemma,lemma(discharge,[]))).
% 14.80/10.55 tff(37016,plain,
% 14.80/10.55 (always3(s398)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37015, 36972, 36971])).
% 14.80/10.55 tff(37017,plain,
% 14.80/10.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s398)) | (~m_main_v_state(s398, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s398)) | (~m_main_v_state(s398, c_busy)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37018,plain,
% 14.80/10.55 (((~m_main_v_state(s398, c_busy)) | (~always3(s398))) <=> ((~always3(s398)) | (~m_main_v_state(s398, c_busy)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37019,plain,
% 14.80/10.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s398, c_busy)) | (~always3(s398)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s398)) | (~m_main_v_state(s398, c_busy))))),
% 14.80/10.55 inference(monotonicity,[status(thm)],[37018])).
% 14.80/10.55 tff(37020,plain,
% 14.80/10.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s398, c_busy)) | (~always3(s398)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s398)) | (~m_main_v_state(s398, c_busy)))),
% 14.80/10.55 inference(transitivity,[status(thm)],[37019, 37017])).
% 14.80/10.55 tff(37021,plain,
% 14.80/10.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s398, c_busy)) | (~always3(s398)))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(37022,plain,
% 14.80/10.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s398)) | (~m_main_v_state(s398, c_busy))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[37021, 37020])).
% 14.80/10.55 tff(37023,plain,
% 14.80/10.55 (~m_main_v_state(s398, c_busy)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37022, 85, 37016])).
% 14.80/10.55 tff(37024,plain,
% 14.80/10.55 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s398, c_busy) | m_main_v_state(s398, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s398, c_busy) | m_main_v_state(s398, c_ready))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37025,plain,
% 14.80/10.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s398, c_busy) | m_main_v_state(s398, c_ready))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(37026,plain,
% 14.80/10.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s398, c_busy) | m_main_v_state(s398, c_ready)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[37025, 37024])).
% 14.80/10.55 tff(37027,plain,
% 14.80/10.55 (m_main_v_state(s398, c_ready)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37026, 102, 37023])).
% 14.80/10.55 tff(37028,assumption,(~always3(s399)), introduced(assumption)).
% 14.80/10.55 tff(37029,plain,
% 14.80/10.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s399) | (~node4(s399)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s399) | (~node4(s399)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37030,plain,
% 14.80/10.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s399) | (~node4(s399)))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(37031,plain,
% 14.80/10.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s399) | (~node4(s399))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[37030, 37029])).
% 14.80/10.55 tff(37032,plain,
% 14.80/10.55 ($false),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37031, 36, 37028, 14])).
% 14.80/10.55 tff(37033,plain,((~node4(s399)) | always3(s399)), inference(lemma,lemma(discharge,[]))).
% 14.80/10.55 tff(37034,plain,
% 14.80/10.55 (~node4(s399)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37033, 37028])).
% 14.80/10.55 tff(37035,plain,
% 14.80/10.55 (succ(s398, s399) <=> succ(s398, s399)),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37036,axiom,(succ(s398, s399)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound399')).
% 14.80/10.55 tff(37037,plain,
% 14.80/10.55 (succ(s398, s399)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[37036, 37035])).
% 14.80/10.55 tff(37038,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s398, s399)) | trans(s398, s399))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s398, s399)) | trans(s398, s399))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37039,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s398, s399)) | trans(s398, s399))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(37040,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s398, s399)) | trans(s398, s399)),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[37039, 37038])).
% 14.80/10.55 tff(37041,plain,
% 14.80/10.55 (trans(s398, s399)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37040, 37037, 52])).
% 14.80/10.55 tff(37042,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s399) | (~trans(s398, s399)) | (~always3(s398)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s399) | (~trans(s398, s399)) | (~always3(s398)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37043,plain,
% 14.80/10.55 (((~trans(s398, s399)) | (~always3(s398)) | always3(s399)) <=> (always3(s399) | (~trans(s398, s399)) | (~always3(s398)))),
% 14.80/10.55 inference(rewrite,[status(thm)],[])).
% 14.80/10.55 tff(37044,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s398, s399)) | (~always3(s398)) | always3(s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s399) | (~trans(s398, s399)) | (~always3(s398))))),
% 14.80/10.55 inference(monotonicity,[status(thm)],[37043])).
% 14.80/10.55 tff(37045,plain,
% 14.80/10.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s398, s399)) | (~always3(s398)) | always3(s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s399) | (~trans(s398, s399)) | (~always3(s398)))),
% 14.80/10.55 inference(transitivity,[status(thm)],[37044, 37042])).
% 14.80/10.55 tff(37046,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s398, s399)) | (~always3(s398)) | always3(s399))),
% 14.80/10.55 inference(quant_inst,[status(thm)],[])).
% 14.80/10.55 tff(37047,plain,
% 14.80/10.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s399) | (~trans(s398, s399)) | (~always3(s398))),
% 14.80/10.55 inference(modus_ponens,[status(thm)],[37046, 37045])).
% 14.80/10.55 tff(37048,plain,
% 14.80/10.55 (always3(s399) | (~always3(s398))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37047, 125, 37041])).
% 14.80/10.55 tff(37049,plain,
% 14.80/10.55 (~always3(s398)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37048, 37028])).
% 14.80/10.55 tff(37050,plain,
% 14.80/10.55 (~always3(s397)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[36984, 37049])).
% 14.80/10.55 tff(37051,plain,
% 14.80/10.55 (~always3(s396)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28775, 37050])).
% 14.80/10.55 tff(37052,plain,
% 14.80/10.55 (~always3(s395)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26211, 37051])).
% 14.80/10.55 tff(37053,plain,
% 14.80/10.55 (~always3(s394)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26256, 37052])).
% 14.80/10.55 tff(37054,plain,
% 14.80/10.55 (~always3(s393)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26285, 37053])).
% 14.80/10.55 tff(37055,plain,
% 14.80/10.55 (~always3(s392)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26314, 37054])).
% 14.80/10.55 tff(37056,plain,
% 14.80/10.55 (~always3(s391)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26343, 37055])).
% 14.80/10.55 tff(37057,plain,
% 14.80/10.55 (~always3(s390)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26372, 37056])).
% 14.80/10.55 tff(37058,plain,
% 14.80/10.55 (~always3(s389)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26401, 37057])).
% 14.80/10.55 tff(37059,plain,
% 14.80/10.55 (~always3(s388)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26430, 37058])).
% 14.80/10.55 tff(37060,plain,
% 14.80/10.55 (~always3(s387)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26459, 37059])).
% 14.80/10.55 tff(37061,plain,
% 14.80/10.55 (~always3(s386)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26488, 37060])).
% 14.80/10.55 tff(37062,plain,
% 14.80/10.55 (~always3(s385)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26517, 37061])).
% 14.80/10.55 tff(37063,plain,
% 14.80/10.55 (~always3(s384)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26546, 37062])).
% 14.80/10.55 tff(37064,plain,
% 14.80/10.55 (~always3(s383)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26575, 37063])).
% 14.80/10.55 tff(37065,plain,
% 14.80/10.55 (~always3(s382)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26604, 37064])).
% 14.80/10.55 tff(37066,plain,
% 14.80/10.55 (~always3(s381)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26633, 37065])).
% 14.80/10.55 tff(37067,plain,
% 14.80/10.55 (~always3(s380)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26662, 37066])).
% 14.80/10.55 tff(37068,plain,
% 14.80/10.55 (~always3(s379)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26691, 37067])).
% 14.80/10.55 tff(37069,plain,
% 14.80/10.55 (~always3(s378)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26720, 37068])).
% 14.80/10.55 tff(37070,plain,
% 14.80/10.55 (~always3(s377)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26749, 37069])).
% 14.80/10.55 tff(37071,plain,
% 14.80/10.55 (~always3(s376)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26778, 37070])).
% 14.80/10.55 tff(37072,plain,
% 14.80/10.55 (~always3(s375)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26807, 37071])).
% 14.80/10.55 tff(37073,plain,
% 14.80/10.55 (~always3(s374)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26836, 37072])).
% 14.80/10.55 tff(37074,plain,
% 14.80/10.55 (~always3(s373)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26865, 37073])).
% 14.80/10.55 tff(37075,plain,
% 14.80/10.55 (~always3(s372)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26894, 37074])).
% 14.80/10.55 tff(37076,plain,
% 14.80/10.55 (~always3(s371)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26923, 37075])).
% 14.80/10.55 tff(37077,plain,
% 14.80/10.55 (~always3(s370)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26952, 37076])).
% 14.80/10.55 tff(37078,plain,
% 14.80/10.55 (~always3(s369)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26981, 37077])).
% 14.80/10.55 tff(37079,plain,
% 14.80/10.55 (~always3(s368)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27010, 37078])).
% 14.80/10.55 tff(37080,plain,
% 14.80/10.55 (~always3(s367)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27039, 37079])).
% 14.80/10.55 tff(37081,plain,
% 14.80/10.55 (~always3(s366)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27068, 37080])).
% 14.80/10.55 tff(37082,plain,
% 14.80/10.55 (~always3(s365)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27097, 37081])).
% 14.80/10.55 tff(37083,plain,
% 14.80/10.55 (~always3(s364)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27126, 37082])).
% 14.80/10.55 tff(37084,plain,
% 14.80/10.55 (~always3(s363)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27155, 37083])).
% 14.80/10.55 tff(37085,plain,
% 14.80/10.55 (~always3(s362)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27184, 37084])).
% 14.80/10.55 tff(37086,plain,
% 14.80/10.55 (~always3(s361)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27213, 37085])).
% 14.80/10.55 tff(37087,plain,
% 14.80/10.55 (~always3(s360)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27242, 37086])).
% 14.80/10.55 tff(37088,plain,
% 14.80/10.55 (~always3(s359)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27271, 37087])).
% 14.80/10.55 tff(37089,plain,
% 14.80/10.55 (~always3(s358)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27300, 37088])).
% 14.80/10.55 tff(37090,plain,
% 14.80/10.55 (~always3(s357)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27329, 37089])).
% 14.80/10.55 tff(37091,plain,
% 14.80/10.55 (~always3(s356)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27358, 37090])).
% 14.80/10.55 tff(37092,plain,
% 14.80/10.55 (~always3(s355)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27387, 37091])).
% 14.80/10.55 tff(37093,plain,
% 14.80/10.55 (~always3(s354)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27416, 37092])).
% 14.80/10.55 tff(37094,plain,
% 14.80/10.55 (~always3(s353)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27445, 37093])).
% 14.80/10.55 tff(37095,plain,
% 14.80/10.55 (~always3(s352)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27474, 37094])).
% 14.80/10.55 tff(37096,plain,
% 14.80/10.55 (~always3(s351)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27486, 37095])).
% 14.80/10.55 tff(37097,plain,
% 14.80/10.55 (~always3(s350)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27498, 37096])).
% 14.80/10.55 tff(37098,plain,
% 14.80/10.55 (~always3(s349)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27510, 37097])).
% 14.80/10.55 tff(37099,plain,
% 14.80/10.55 (~always3(s348)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27522, 37098])).
% 14.80/10.55 tff(37100,plain,
% 14.80/10.55 (~always3(s347)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27534, 37099])).
% 14.80/10.55 tff(37101,plain,
% 14.80/10.55 (~always3(s346)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27546, 37100])).
% 14.80/10.55 tff(37102,plain,
% 14.80/10.55 (~always3(s345)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27558, 37101])).
% 14.80/10.55 tff(37103,plain,
% 14.80/10.55 (~always3(s344)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27570, 37102])).
% 14.80/10.55 tff(37104,plain,
% 14.80/10.55 (~always3(s343)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27582, 37103])).
% 14.80/10.55 tff(37105,plain,
% 14.80/10.55 (~always3(s342)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27594, 37104])).
% 14.80/10.55 tff(37106,plain,
% 14.80/10.55 (~always3(s341)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27606, 37105])).
% 14.80/10.55 tff(37107,plain,
% 14.80/10.55 (~always3(s340)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27618, 37106])).
% 14.80/10.55 tff(37108,plain,
% 14.80/10.55 (~always3(s339)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27630, 37107])).
% 14.80/10.55 tff(37109,plain,
% 14.80/10.55 (~always3(s338)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27642, 37108])).
% 14.80/10.55 tff(37110,plain,
% 14.80/10.55 (~always3(s337)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27654, 37109])).
% 14.80/10.55 tff(37111,plain,
% 14.80/10.55 (~always3(s336)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27666, 37110])).
% 14.80/10.55 tff(37112,plain,
% 14.80/10.55 (~always3(s335)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27678, 37111])).
% 14.80/10.55 tff(37113,plain,
% 14.80/10.55 (~always3(s334)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27690, 37112])).
% 14.80/10.55 tff(37114,plain,
% 14.80/10.55 (~always3(s333)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27702, 37113])).
% 14.80/10.55 tff(37115,plain,
% 14.80/10.55 (~always3(s332)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27714, 37114])).
% 14.80/10.55 tff(37116,plain,
% 14.80/10.55 (~always3(s331)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27726, 37115])).
% 14.80/10.55 tff(37117,plain,
% 14.80/10.55 (~always3(s330)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27738, 37116])).
% 14.80/10.55 tff(37118,plain,
% 14.80/10.55 (~always3(s329)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27750, 37117])).
% 14.80/10.55 tff(37119,plain,
% 14.80/10.55 (~always3(s328)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27762, 37118])).
% 14.80/10.55 tff(37120,plain,
% 14.80/10.55 (~always3(s327)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27774, 37119])).
% 14.80/10.55 tff(37121,plain,
% 14.80/10.55 (~always3(s326)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27786, 37120])).
% 14.80/10.55 tff(37122,plain,
% 14.80/10.55 (~always3(s325)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27798, 37121])).
% 14.80/10.55 tff(37123,plain,
% 14.80/10.55 (~always3(s324)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27810, 37122])).
% 14.80/10.55 tff(37124,plain,
% 14.80/10.55 (~always3(s323)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27822, 37123])).
% 14.80/10.55 tff(37125,plain,
% 14.80/10.55 (~always3(s322)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27834, 37124])).
% 14.80/10.55 tff(37126,plain,
% 14.80/10.55 (~always3(s321)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27846, 37125])).
% 14.80/10.55 tff(37127,plain,
% 14.80/10.55 (~always3(s320)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27858, 37126])).
% 14.80/10.55 tff(37128,plain,
% 14.80/10.55 (~always3(s319)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27870, 37127])).
% 14.80/10.55 tff(37129,plain,
% 14.80/10.55 (~always3(s318)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27882, 37128])).
% 14.80/10.55 tff(37130,plain,
% 14.80/10.55 (~always3(s317)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27894, 37129])).
% 14.80/10.55 tff(37131,plain,
% 14.80/10.55 (~always3(s316)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27906, 37130])).
% 14.80/10.55 tff(37132,plain,
% 14.80/10.55 (~always3(s315)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27918, 37131])).
% 14.80/10.55 tff(37133,plain,
% 14.80/10.55 (~always3(s314)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27930, 37132])).
% 14.80/10.55 tff(37134,plain,
% 14.80/10.55 (~always3(s313)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27942, 37133])).
% 14.80/10.55 tff(37135,plain,
% 14.80/10.55 (~always3(s312)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27954, 37134])).
% 14.80/10.55 tff(37136,plain,
% 14.80/10.55 (~always3(s311)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27966, 37135])).
% 14.80/10.55 tff(37137,plain,
% 14.80/10.55 (~always3(s310)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27978, 37136])).
% 14.80/10.55 tff(37138,plain,
% 14.80/10.55 (~always3(s309)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27990, 37137])).
% 14.80/10.55 tff(37139,plain,
% 14.80/10.55 (~always3(s308)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28006, 37138])).
% 14.80/10.55 tff(37140,plain,
% 14.80/10.55 (~always3(s307)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26183, 37139])).
% 14.80/10.55 tff(37141,plain,
% 14.80/10.55 (~always3(s306)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26016, 37140])).
% 14.80/10.55 tff(37142,plain,
% 14.80/10.55 (~node4(s306)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26021, 36, 37141])).
% 14.80/10.55 tff(37143,plain,
% 14.80/10.55 (~always3(s305)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26042, 37141])).
% 14.80/10.55 tff(37144,plain,
% 14.80/10.55 (~node4(s305)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26046, 36, 37143])).
% 14.80/10.55 tff(37145,plain,
% 14.80/10.55 (~always3(s304)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[25900, 37143])).
% 14.80/10.55 tff(37146,plain,
% 14.80/10.55 (xuntil6(s304)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[25888, 37145])).
% 14.80/10.55 tff(37147,plain,
% 14.80/10.55 (until5(s305)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26001, 37146])).
% 14.80/10.55 tff(37148,plain,
% 14.80/10.55 (xuntil6(s305) | node4(s305)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26056, 294, 37147])).
% 14.80/10.55 tff(37149,plain,
% 14.80/10.55 (xuntil6(s305)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37148, 37144])).
% 14.80/10.55 tff(37150,plain,
% 14.80/10.55 (until5(s306)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26062, 37149])).
% 14.80/10.55 tff(37151,plain,
% 14.80/10.55 (xuntil6(s306)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26029, 294, 37150, 37142])).
% 14.80/10.55 tff(37152,plain,
% 14.80/10.55 (until5(s307)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26069, 37151])).
% 14.80/10.55 tff(37153,plain,
% 14.80/10.55 (~node4(s307)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26081, 36, 37140])).
% 14.80/10.55 tff(37154,plain,
% 14.80/10.55 (xuntil6(s307) | (~until5(s307))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26076, 294, 37153])).
% 14.80/10.55 tff(37155,plain,
% 14.80/10.55 (xuntil6(s307)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37154, 37152])).
% 14.80/10.55 tff(37156,plain,
% 14.80/10.55 (until5(s308)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[26197, 37155])).
% 14.80/10.55 tff(37157,plain,
% 14.80/10.55 (~node4(s308)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28010, 36, 37139])).
% 14.80/10.55 tff(37158,plain,
% 14.80/10.55 (xuntil6(s308) | (~until5(s308))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28017, 294, 37157])).
% 14.80/10.55 tff(37159,plain,
% 14.80/10.55 (xuntil6(s308)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37158, 37156])).
% 14.80/10.55 tff(37160,plain,
% 14.80/10.55 (until5(s309)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28023, 37159])).
% 14.80/10.55 tff(37161,plain,
% 14.80/10.55 (~node4(s309)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[27994, 36, 37138])).
% 14.80/10.55 tff(37162,plain,
% 14.80/10.55 (xuntil6(s309) | (~until5(s309))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28030, 294, 37161])).
% 14.80/10.55 tff(37163,plain,
% 14.80/10.55 (xuntil6(s309)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37162, 37160])).
% 14.80/10.55 tff(37164,plain,
% 14.80/10.55 (until5(s310)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28035, 37163])).
% 14.80/10.55 tff(37165,plain,
% 14.80/10.55 (~node4(s310)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28039, 36, 37137])).
% 14.80/10.55 tff(37166,plain,
% 14.80/10.55 (xuntil6(s310) | (~until5(s310))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28046, 294, 37165])).
% 14.80/10.55 tff(37167,plain,
% 14.80/10.55 (xuntil6(s310)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37166, 37164])).
% 14.80/10.55 tff(37168,plain,
% 14.80/10.55 (until5(s311)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28052, 37167])).
% 14.80/10.55 tff(37169,plain,
% 14.80/10.55 (~node4(s311)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28056, 36, 37136])).
% 14.80/10.55 tff(37170,plain,
% 14.80/10.55 (xuntil6(s311) | (~until5(s311))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28063, 294, 37169])).
% 14.80/10.55 tff(37171,plain,
% 14.80/10.55 (xuntil6(s311)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37170, 37168])).
% 14.80/10.55 tff(37172,plain,
% 14.80/10.55 (until5(s312)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28069, 37171])).
% 14.80/10.55 tff(37173,plain,
% 14.80/10.55 (~node4(s312)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28073, 36, 37135])).
% 14.80/10.55 tff(37174,plain,
% 14.80/10.55 (xuntil6(s312) | (~until5(s312))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28080, 294, 37173])).
% 14.80/10.55 tff(37175,plain,
% 14.80/10.55 (xuntil6(s312)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37174, 37172])).
% 14.80/10.55 tff(37176,plain,
% 14.80/10.55 (until5(s313)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28086, 37175])).
% 14.80/10.55 tff(37177,plain,
% 14.80/10.55 (~node4(s313)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28090, 36, 37134])).
% 14.80/10.55 tff(37178,plain,
% 14.80/10.55 (xuntil6(s313) | (~until5(s313))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28097, 294, 37177])).
% 14.80/10.55 tff(37179,plain,
% 14.80/10.55 (xuntil6(s313)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37178, 37176])).
% 14.80/10.55 tff(37180,plain,
% 14.80/10.55 (until5(s314)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28103, 37179])).
% 14.80/10.55 tff(37181,plain,
% 14.80/10.55 (~node4(s314)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28107, 36, 37133])).
% 14.80/10.55 tff(37182,plain,
% 14.80/10.55 (xuntil6(s314) | (~until5(s314))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28114, 294, 37181])).
% 14.80/10.55 tff(37183,plain,
% 14.80/10.55 (xuntil6(s314)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37182, 37180])).
% 14.80/10.55 tff(37184,plain,
% 14.80/10.55 (until5(s315)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28120, 37183])).
% 14.80/10.55 tff(37185,plain,
% 14.80/10.55 (~node4(s315)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28124, 36, 37132])).
% 14.80/10.55 tff(37186,plain,
% 14.80/10.55 (xuntil6(s315) | (~until5(s315))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28131, 294, 37185])).
% 14.80/10.55 tff(37187,plain,
% 14.80/10.55 (xuntil6(s315)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37186, 37184])).
% 14.80/10.55 tff(37188,plain,
% 14.80/10.55 (until5(s316)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28137, 37187])).
% 14.80/10.55 tff(37189,plain,
% 14.80/10.55 (~node4(s316)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28141, 36, 37131])).
% 14.80/10.55 tff(37190,plain,
% 14.80/10.55 (xuntil6(s316) | (~until5(s316))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28148, 294, 37189])).
% 14.80/10.55 tff(37191,plain,
% 14.80/10.55 (xuntil6(s316)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37190, 37188])).
% 14.80/10.55 tff(37192,plain,
% 14.80/10.55 (until5(s317)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28154, 37191])).
% 14.80/10.55 tff(37193,plain,
% 14.80/10.55 (~node4(s317)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28158, 36, 37130])).
% 14.80/10.55 tff(37194,plain,
% 14.80/10.55 (xuntil6(s317) | (~until5(s317))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28165, 294, 37193])).
% 14.80/10.55 tff(37195,plain,
% 14.80/10.55 (xuntil6(s317)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37194, 37192])).
% 14.80/10.55 tff(37196,plain,
% 14.80/10.55 (until5(s318)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28171, 37195])).
% 14.80/10.55 tff(37197,plain,
% 14.80/10.55 (~node4(s318)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28175, 36, 37129])).
% 14.80/10.55 tff(37198,plain,
% 14.80/10.55 (xuntil6(s318) | (~until5(s318))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28182, 294, 37197])).
% 14.80/10.55 tff(37199,plain,
% 14.80/10.55 (xuntil6(s318)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37198, 37196])).
% 14.80/10.55 tff(37200,plain,
% 14.80/10.55 (until5(s319)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28188, 37199])).
% 14.80/10.55 tff(37201,plain,
% 14.80/10.55 (~node4(s319)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28192, 36, 37128])).
% 14.80/10.55 tff(37202,plain,
% 14.80/10.55 (xuntil6(s319) | (~until5(s319))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28199, 294, 37201])).
% 14.80/10.55 tff(37203,plain,
% 14.80/10.55 (xuntil6(s319)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37202, 37200])).
% 14.80/10.55 tff(37204,plain,
% 14.80/10.55 (until5(s320)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28205, 37203])).
% 14.80/10.55 tff(37205,plain,
% 14.80/10.55 (~node4(s320)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28209, 36, 37127])).
% 14.80/10.55 tff(37206,plain,
% 14.80/10.55 (xuntil6(s320) | (~until5(s320))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28216, 294, 37205])).
% 14.80/10.55 tff(37207,plain,
% 14.80/10.55 (xuntil6(s320)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37206, 37204])).
% 14.80/10.55 tff(37208,plain,
% 14.80/10.55 (until5(s321)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28222, 37207])).
% 14.80/10.55 tff(37209,plain,
% 14.80/10.55 (~node4(s321)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28226, 36, 37126])).
% 14.80/10.55 tff(37210,plain,
% 14.80/10.55 (xuntil6(s321) | (~until5(s321))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28233, 294, 37209])).
% 14.80/10.55 tff(37211,plain,
% 14.80/10.55 (xuntil6(s321)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37210, 37208])).
% 14.80/10.55 tff(37212,plain,
% 14.80/10.55 (until5(s322)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28239, 37211])).
% 14.80/10.55 tff(37213,plain,
% 14.80/10.55 (~node4(s322)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28243, 36, 37125])).
% 14.80/10.55 tff(37214,plain,
% 14.80/10.55 (xuntil6(s322) | (~until5(s322))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28250, 294, 37213])).
% 14.80/10.55 tff(37215,plain,
% 14.80/10.55 (xuntil6(s322)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37214, 37212])).
% 14.80/10.55 tff(37216,plain,
% 14.80/10.55 (until5(s323)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28256, 37215])).
% 14.80/10.55 tff(37217,plain,
% 14.80/10.55 (~node4(s323)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28260, 36, 37124])).
% 14.80/10.55 tff(37218,plain,
% 14.80/10.55 (xuntil6(s323) | (~until5(s323))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28267, 294, 37217])).
% 14.80/10.55 tff(37219,plain,
% 14.80/10.55 (xuntil6(s323)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37218, 37216])).
% 14.80/10.55 tff(37220,plain,
% 14.80/10.55 (until5(s324)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28273, 37219])).
% 14.80/10.55 tff(37221,plain,
% 14.80/10.55 (~node4(s324)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28277, 36, 37123])).
% 14.80/10.55 tff(37222,plain,
% 14.80/10.55 (xuntil6(s324) | (~until5(s324))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28284, 294, 37221])).
% 14.80/10.55 tff(37223,plain,
% 14.80/10.55 (xuntil6(s324)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37222, 37220])).
% 14.80/10.55 tff(37224,plain,
% 14.80/10.55 (until5(s325)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28290, 37223])).
% 14.80/10.55 tff(37225,plain,
% 14.80/10.55 (~node4(s325)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28294, 36, 37122])).
% 14.80/10.55 tff(37226,plain,
% 14.80/10.55 (xuntil6(s325) | (~until5(s325))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28301, 294, 37225])).
% 14.80/10.55 tff(37227,plain,
% 14.80/10.55 (xuntil6(s325)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37226, 37224])).
% 14.80/10.55 tff(37228,plain,
% 14.80/10.55 (until5(s326)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28307, 37227])).
% 14.80/10.55 tff(37229,plain,
% 14.80/10.55 (~node4(s326)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28311, 36, 37121])).
% 14.80/10.55 tff(37230,plain,
% 14.80/10.55 (xuntil6(s326) | (~until5(s326))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28318, 294, 37229])).
% 14.80/10.55 tff(37231,plain,
% 14.80/10.55 (xuntil6(s326)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37230, 37228])).
% 14.80/10.55 tff(37232,plain,
% 14.80/10.55 (until5(s327)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28324, 37231])).
% 14.80/10.55 tff(37233,plain,
% 14.80/10.55 (~node4(s327)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28328, 36, 37120])).
% 14.80/10.55 tff(37234,plain,
% 14.80/10.55 (xuntil6(s327) | (~until5(s327))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28335, 294, 37233])).
% 14.80/10.55 tff(37235,plain,
% 14.80/10.55 (xuntil6(s327)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37234, 37232])).
% 14.80/10.55 tff(37236,plain,
% 14.80/10.55 (until5(s328)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28341, 37235])).
% 14.80/10.55 tff(37237,plain,
% 14.80/10.55 (~node4(s328)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28345, 36, 37119])).
% 14.80/10.55 tff(37238,plain,
% 14.80/10.55 (xuntil6(s328) | (~until5(s328))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28352, 294, 37237])).
% 14.80/10.55 tff(37239,plain,
% 14.80/10.55 (xuntil6(s328)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37238, 37236])).
% 14.80/10.55 tff(37240,plain,
% 14.80/10.55 (until5(s329)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28358, 37239])).
% 14.80/10.55 tff(37241,plain,
% 14.80/10.55 (~node4(s329)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28362, 36, 37118])).
% 14.80/10.55 tff(37242,plain,
% 14.80/10.55 (xuntil6(s329) | (~until5(s329))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28369, 294, 37241])).
% 14.80/10.55 tff(37243,plain,
% 14.80/10.55 (xuntil6(s329)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37242, 37240])).
% 14.80/10.55 tff(37244,plain,
% 14.80/10.55 (until5(s330)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28375, 37243])).
% 14.80/10.55 tff(37245,plain,
% 14.80/10.55 (~node4(s330)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28379, 36, 37117])).
% 14.80/10.55 tff(37246,plain,
% 14.80/10.55 (xuntil6(s330) | (~until5(s330))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28386, 294, 37245])).
% 14.80/10.55 tff(37247,plain,
% 14.80/10.55 (xuntil6(s330)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37246, 37244])).
% 14.80/10.55 tff(37248,plain,
% 14.80/10.55 (until5(s331)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28392, 37247])).
% 14.80/10.55 tff(37249,plain,
% 14.80/10.55 (~node4(s331)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28396, 36, 37116])).
% 14.80/10.55 tff(37250,plain,
% 14.80/10.55 (xuntil6(s331) | (~until5(s331))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28403, 294, 37249])).
% 14.80/10.55 tff(37251,plain,
% 14.80/10.55 (xuntil6(s331)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37250, 37248])).
% 14.80/10.55 tff(37252,plain,
% 14.80/10.55 (until5(s332)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28409, 37251])).
% 14.80/10.55 tff(37253,plain,
% 14.80/10.55 (~node4(s332)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28413, 36, 37115])).
% 14.80/10.55 tff(37254,plain,
% 14.80/10.55 (xuntil6(s332) | (~until5(s332))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28420, 294, 37253])).
% 14.80/10.55 tff(37255,plain,
% 14.80/10.55 (xuntil6(s332)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37254, 37252])).
% 14.80/10.55 tff(37256,plain,
% 14.80/10.55 (until5(s333)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28426, 37255])).
% 14.80/10.55 tff(37257,plain,
% 14.80/10.55 (~node4(s333)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28430, 36, 37114])).
% 14.80/10.55 tff(37258,plain,
% 14.80/10.55 (xuntil6(s333) | (~until5(s333))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28437, 294, 37257])).
% 14.80/10.55 tff(37259,plain,
% 14.80/10.55 (xuntil6(s333)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37258, 37256])).
% 14.80/10.55 tff(37260,plain,
% 14.80/10.55 (until5(s334)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28443, 37259])).
% 14.80/10.55 tff(37261,plain,
% 14.80/10.55 (~node4(s334)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28447, 36, 37113])).
% 14.80/10.55 tff(37262,plain,
% 14.80/10.55 (xuntil6(s334) | (~until5(s334))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28454, 294, 37261])).
% 14.80/10.55 tff(37263,plain,
% 14.80/10.55 (xuntil6(s334)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37262, 37260])).
% 14.80/10.55 tff(37264,plain,
% 14.80/10.55 (until5(s335)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28460, 37263])).
% 14.80/10.55 tff(37265,plain,
% 14.80/10.55 (~node4(s335)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28464, 36, 37112])).
% 14.80/10.55 tff(37266,plain,
% 14.80/10.55 (xuntil6(s335) | (~until5(s335))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28471, 294, 37265])).
% 14.80/10.55 tff(37267,plain,
% 14.80/10.55 (xuntil6(s335)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37266, 37264])).
% 14.80/10.55 tff(37268,plain,
% 14.80/10.55 (until5(s336)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28477, 37267])).
% 14.80/10.55 tff(37269,plain,
% 14.80/10.55 (~node4(s336)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28481, 36, 37111])).
% 14.80/10.55 tff(37270,plain,
% 14.80/10.55 (xuntil6(s336) | (~until5(s336))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28488, 294, 37269])).
% 14.80/10.55 tff(37271,plain,
% 14.80/10.55 (xuntil6(s336)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37270, 37268])).
% 14.80/10.55 tff(37272,plain,
% 14.80/10.55 (until5(s337)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28494, 37271])).
% 14.80/10.55 tff(37273,plain,
% 14.80/10.55 (~node4(s337)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28498, 36, 37110])).
% 14.80/10.55 tff(37274,plain,
% 14.80/10.55 (xuntil6(s337) | (~until5(s337))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28505, 294, 37273])).
% 14.80/10.55 tff(37275,plain,
% 14.80/10.55 (xuntil6(s337)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37274, 37272])).
% 14.80/10.55 tff(37276,plain,
% 14.80/10.55 (until5(s338)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28511, 37275])).
% 14.80/10.55 tff(37277,plain,
% 14.80/10.55 (~node4(s338)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28515, 36, 37109])).
% 14.80/10.55 tff(37278,plain,
% 14.80/10.55 (xuntil6(s338) | (~until5(s338))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28522, 294, 37277])).
% 14.80/10.55 tff(37279,plain,
% 14.80/10.55 (xuntil6(s338)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37278, 37276])).
% 14.80/10.55 tff(37280,plain,
% 14.80/10.55 (until5(s339)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28528, 37279])).
% 14.80/10.55 tff(37281,plain,
% 14.80/10.55 (~node4(s339)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28532, 36, 37108])).
% 14.80/10.55 tff(37282,plain,
% 14.80/10.55 (xuntil6(s339) | (~until5(s339))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28539, 294, 37281])).
% 14.80/10.55 tff(37283,plain,
% 14.80/10.55 (xuntil6(s339)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37282, 37280])).
% 14.80/10.55 tff(37284,plain,
% 14.80/10.55 (until5(s340)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28545, 37283])).
% 14.80/10.55 tff(37285,plain,
% 14.80/10.55 (~node4(s340)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28549, 36, 37107])).
% 14.80/10.55 tff(37286,plain,
% 14.80/10.55 (xuntil6(s340) | (~until5(s340))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28556, 294, 37285])).
% 14.80/10.55 tff(37287,plain,
% 14.80/10.55 (xuntil6(s340)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[37286, 37284])).
% 14.80/10.55 tff(37288,plain,
% 14.80/10.55 (until5(s341)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28562, 37287])).
% 14.80/10.55 tff(37289,plain,
% 14.80/10.55 (~node4(s341)),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28566, 36, 37106])).
% 14.80/10.55 tff(37290,plain,
% 14.80/10.55 (xuntil6(s341) | (~until5(s341))),
% 14.80/10.55 inference(unit_resolution,[status(thm)],[28573, 294, 37289])).
% 14.80/10.56 tff(37291,plain,
% 14.80/10.56 (xuntil6(s341)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37290, 37288])).
% 14.80/10.56 tff(37292,plain,
% 14.80/10.56 (until5(s342)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28579, 37291])).
% 14.80/10.56 tff(37293,plain,
% 14.80/10.56 (~node4(s342)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28583, 36, 37105])).
% 14.80/10.56 tff(37294,plain,
% 14.80/10.56 (xuntil6(s342) | (~until5(s342))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28590, 294, 37293])).
% 14.80/10.56 tff(37295,plain,
% 14.80/10.56 (xuntil6(s342)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37294, 37292])).
% 14.80/10.56 tff(37296,plain,
% 14.80/10.56 (until5(s343)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28596, 37295])).
% 14.80/10.56 tff(37297,plain,
% 14.80/10.56 (~node4(s343)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28600, 36, 37104])).
% 14.80/10.56 tff(37298,plain,
% 14.80/10.56 (xuntil6(s343) | (~until5(s343))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28607, 294, 37297])).
% 14.80/10.56 tff(37299,plain,
% 14.80/10.56 (xuntil6(s343)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37298, 37296])).
% 14.80/10.56 tff(37300,plain,
% 14.80/10.56 (until5(s344)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28613, 37299])).
% 14.80/10.56 tff(37301,plain,
% 14.80/10.56 (~node4(s344)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28617, 36, 37103])).
% 14.80/10.56 tff(37302,plain,
% 14.80/10.56 (xuntil6(s344) | (~until5(s344))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28624, 294, 37301])).
% 14.80/10.56 tff(37303,plain,
% 14.80/10.56 (xuntil6(s344)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37302, 37300])).
% 14.80/10.56 tff(37304,plain,
% 14.80/10.56 (until5(s345)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28630, 37303])).
% 14.80/10.56 tff(37305,plain,
% 14.80/10.56 (~node4(s345)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28634, 36, 37102])).
% 14.80/10.56 tff(37306,plain,
% 14.80/10.56 (xuntil6(s345) | (~until5(s345))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28641, 294, 37305])).
% 14.80/10.56 tff(37307,plain,
% 14.80/10.56 (xuntil6(s345)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37306, 37304])).
% 14.80/10.56 tff(37308,plain,
% 14.80/10.56 (until5(s346)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28647, 37307])).
% 14.80/10.56 tff(37309,plain,
% 14.80/10.56 (~node4(s346)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28651, 36, 37101])).
% 14.80/10.56 tff(37310,plain,
% 14.80/10.56 (xuntil6(s346) | (~until5(s346))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28658, 294, 37309])).
% 14.80/10.56 tff(37311,plain,
% 14.80/10.56 (xuntil6(s346)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37310, 37308])).
% 14.80/10.56 tff(37312,plain,
% 14.80/10.56 (until5(s347)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28664, 37311])).
% 14.80/10.56 tff(37313,plain,
% 14.80/10.56 (~node4(s347)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28668, 36, 37100])).
% 14.80/10.56 tff(37314,plain,
% 14.80/10.56 (xuntil6(s347) | (~until5(s347))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28675, 294, 37313])).
% 14.80/10.56 tff(37315,plain,
% 14.80/10.56 (xuntil6(s347)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37314, 37312])).
% 14.80/10.56 tff(37316,plain,
% 14.80/10.56 (until5(s348)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28681, 37315])).
% 14.80/10.56 tff(37317,plain,
% 14.80/10.56 (~node4(s348)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28685, 36, 37099])).
% 14.80/10.56 tff(37318,plain,
% 14.80/10.56 (xuntil6(s348) | (~until5(s348))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28692, 294, 37317])).
% 14.80/10.56 tff(37319,plain,
% 14.80/10.56 (xuntil6(s348)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37318, 37316])).
% 14.80/10.56 tff(37320,plain,
% 14.80/10.56 (until5(s349)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28698, 37319])).
% 14.80/10.56 tff(37321,plain,
% 14.80/10.56 (~node4(s349)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28702, 36, 37098])).
% 14.80/10.56 tff(37322,plain,
% 14.80/10.56 (xuntil6(s349) | (~until5(s349))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28709, 294, 37321])).
% 14.80/10.56 tff(37323,plain,
% 14.80/10.56 (xuntil6(s349)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37322, 37320])).
% 14.80/10.56 tff(37324,plain,
% 14.80/10.56 (until5(s350)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28715, 37323])).
% 14.80/10.56 tff(37325,plain,
% 14.80/10.56 (~node4(s350)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28719, 36, 37097])).
% 14.80/10.56 tff(37326,plain,
% 14.80/10.56 (xuntil6(s350) | (~until5(s350))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28726, 294, 37325])).
% 14.80/10.56 tff(37327,plain,
% 14.80/10.56 (xuntil6(s350)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37326, 37324])).
% 14.80/10.56 tff(37328,plain,
% 14.80/10.56 (until5(s351)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28732, 37327])).
% 14.80/10.56 tff(37329,plain,
% 14.80/10.56 (~node4(s351)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28736, 36, 37096])).
% 14.80/10.56 tff(37330,plain,
% 14.80/10.56 (xuntil6(s351) | (~until5(s351))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28743, 294, 37329])).
% 14.80/10.56 tff(37331,plain,
% 14.80/10.56 (xuntil6(s351)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37330, 37328])).
% 14.80/10.56 tff(37332,plain,
% 14.80/10.56 (until5(s352)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28749, 37331])).
% 14.80/10.56 tff(37333,plain,
% 14.80/10.56 (~node4(s352)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28753, 36, 37095])).
% 14.80/10.56 tff(37334,plain,
% 14.80/10.56 (xuntil6(s352) | (~until5(s352))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[28760, 294, 37333])).
% 14.80/10.56 tff(37335,plain,
% 14.80/10.56 (xuntil6(s352)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37334, 37332])).
% 14.80/10.56 tff(37336,plain,
% 14.80/10.56 (until5(s353)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27465, 37335])).
% 14.80/10.56 tff(37337,plain,
% 14.80/10.56 (~node4(s353)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27449, 36, 37094])).
% 14.80/10.56 tff(37338,plain,
% 14.80/10.56 (xuntil6(s353) | (~until5(s353))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27456, 294, 37337])).
% 14.80/10.56 tff(37339,plain,
% 14.80/10.56 (xuntil6(s353)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37338, 37336])).
% 14.80/10.56 tff(37340,plain,
% 14.80/10.56 (until5(s354)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27436, 37339])).
% 14.80/10.56 tff(37341,plain,
% 14.80/10.56 (~node4(s354)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27420, 36, 37093])).
% 14.80/10.56 tff(37342,plain,
% 14.80/10.56 (xuntil6(s354) | (~until5(s354))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27427, 294, 37341])).
% 14.80/10.56 tff(37343,plain,
% 14.80/10.56 (xuntil6(s354)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37342, 37340])).
% 14.80/10.56 tff(37344,plain,
% 14.80/10.56 (until5(s355)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27407, 37343])).
% 14.80/10.56 tff(37345,plain,
% 14.80/10.56 (~node4(s355)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27391, 36, 37092])).
% 14.80/10.56 tff(37346,plain,
% 14.80/10.56 (xuntil6(s355) | (~until5(s355))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27398, 294, 37345])).
% 14.80/10.56 tff(37347,plain,
% 14.80/10.56 (xuntil6(s355)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37346, 37344])).
% 14.80/10.56 tff(37348,plain,
% 14.80/10.56 (until5(s356)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27378, 37347])).
% 14.80/10.56 tff(37349,plain,
% 14.80/10.56 (~node4(s356)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27362, 36, 37091])).
% 14.80/10.56 tff(37350,plain,
% 14.80/10.56 (xuntil6(s356) | (~until5(s356))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27369, 294, 37349])).
% 14.80/10.56 tff(37351,plain,
% 14.80/10.56 (xuntil6(s356)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37350, 37348])).
% 14.80/10.56 tff(37352,plain,
% 14.80/10.56 (until5(s357)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27349, 37351])).
% 14.80/10.56 tff(37353,plain,
% 14.80/10.56 (~node4(s357)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27333, 36, 37090])).
% 14.80/10.56 tff(37354,plain,
% 14.80/10.56 (xuntil6(s357) | (~until5(s357))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27340, 294, 37353])).
% 14.80/10.56 tff(37355,plain,
% 14.80/10.56 (xuntil6(s357)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37354, 37352])).
% 14.80/10.56 tff(37356,plain,
% 14.80/10.56 (until5(s358)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27320, 37355])).
% 14.80/10.56 tff(37357,plain,
% 14.80/10.56 (~node4(s358)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27304, 36, 37089])).
% 14.80/10.56 tff(37358,plain,
% 14.80/10.56 (xuntil6(s358) | (~until5(s358))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27311, 294, 37357])).
% 14.80/10.56 tff(37359,plain,
% 14.80/10.56 (xuntil6(s358)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37358, 37356])).
% 14.80/10.56 tff(37360,plain,
% 14.80/10.56 (until5(s359)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27291, 37359])).
% 14.80/10.56 tff(37361,plain,
% 14.80/10.56 (~node4(s359)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27275, 36, 37088])).
% 14.80/10.56 tff(37362,plain,
% 14.80/10.56 (xuntil6(s359) | (~until5(s359))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27282, 294, 37361])).
% 14.80/10.56 tff(37363,plain,
% 14.80/10.56 (xuntil6(s359)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37362, 37360])).
% 14.80/10.56 tff(37364,plain,
% 14.80/10.56 (until5(s360)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27262, 37363])).
% 14.80/10.56 tff(37365,plain,
% 14.80/10.56 (~node4(s360)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27246, 36, 37087])).
% 14.80/10.56 tff(37366,plain,
% 14.80/10.56 (xuntil6(s360) | (~until5(s360))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27253, 294, 37365])).
% 14.80/10.56 tff(37367,plain,
% 14.80/10.56 (xuntil6(s360)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37366, 37364])).
% 14.80/10.56 tff(37368,plain,
% 14.80/10.56 (until5(s361)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27233, 37367])).
% 14.80/10.56 tff(37369,plain,
% 14.80/10.56 (~node4(s361)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27217, 36, 37086])).
% 14.80/10.56 tff(37370,plain,
% 14.80/10.56 (xuntil6(s361) | (~until5(s361))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27224, 294, 37369])).
% 14.80/10.56 tff(37371,plain,
% 14.80/10.56 (xuntil6(s361)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37370, 37368])).
% 14.80/10.56 tff(37372,plain,
% 14.80/10.56 (until5(s362)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27204, 37371])).
% 14.80/10.56 tff(37373,plain,
% 14.80/10.56 (~node4(s362)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27188, 36, 37085])).
% 14.80/10.56 tff(37374,plain,
% 14.80/10.56 (xuntil6(s362) | (~until5(s362))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27195, 294, 37373])).
% 14.80/10.56 tff(37375,plain,
% 14.80/10.56 (xuntil6(s362)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37374, 37372])).
% 14.80/10.56 tff(37376,plain,
% 14.80/10.56 (until5(s363)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27175, 37375])).
% 14.80/10.56 tff(37377,plain,
% 14.80/10.56 (~node4(s363)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27159, 36, 37084])).
% 14.80/10.56 tff(37378,plain,
% 14.80/10.56 (xuntil6(s363) | (~until5(s363))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27166, 294, 37377])).
% 14.80/10.56 tff(37379,plain,
% 14.80/10.56 (xuntil6(s363)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37378, 37376])).
% 14.80/10.56 tff(37380,plain,
% 14.80/10.56 (until5(s364)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27146, 37379])).
% 14.80/10.56 tff(37381,plain,
% 14.80/10.56 (~node4(s364)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27130, 36, 37083])).
% 14.80/10.56 tff(37382,plain,
% 14.80/10.56 (xuntil6(s364) | (~until5(s364))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27137, 294, 37381])).
% 14.80/10.56 tff(37383,plain,
% 14.80/10.56 (xuntil6(s364)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37382, 37380])).
% 14.80/10.56 tff(37384,plain,
% 14.80/10.56 (until5(s365)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27117, 37383])).
% 14.80/10.56 tff(37385,plain,
% 14.80/10.56 (~node4(s365)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27101, 36, 37082])).
% 14.80/10.56 tff(37386,plain,
% 14.80/10.56 (xuntil6(s365) | (~until5(s365))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27108, 294, 37385])).
% 14.80/10.56 tff(37387,plain,
% 14.80/10.56 (xuntil6(s365)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37386, 37384])).
% 14.80/10.56 tff(37388,plain,
% 14.80/10.56 (until5(s366)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27088, 37387])).
% 14.80/10.56 tff(37389,plain,
% 14.80/10.56 (~node4(s366)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27072, 36, 37081])).
% 14.80/10.56 tff(37390,plain,
% 14.80/10.56 (xuntil6(s366) | (~until5(s366))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27079, 294, 37389])).
% 14.80/10.56 tff(37391,plain,
% 14.80/10.56 (xuntil6(s366)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37390, 37388])).
% 14.80/10.56 tff(37392,plain,
% 14.80/10.56 (until5(s367)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27059, 37391])).
% 14.80/10.56 tff(37393,plain,
% 14.80/10.56 (~node4(s367)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27043, 36, 37080])).
% 14.80/10.56 tff(37394,plain,
% 14.80/10.56 (xuntil6(s367) | (~until5(s367))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27050, 294, 37393])).
% 14.80/10.56 tff(37395,plain,
% 14.80/10.56 (xuntil6(s367)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37394, 37392])).
% 14.80/10.56 tff(37396,plain,
% 14.80/10.56 (until5(s368)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27030, 37395])).
% 14.80/10.56 tff(37397,plain,
% 14.80/10.56 (~node4(s368)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27014, 36, 37079])).
% 14.80/10.56 tff(37398,plain,
% 14.80/10.56 (xuntil6(s368) | (~until5(s368))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27021, 294, 37397])).
% 14.80/10.56 tff(37399,plain,
% 14.80/10.56 (xuntil6(s368)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37398, 37396])).
% 14.80/10.56 tff(37400,plain,
% 14.80/10.56 (until5(s369)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[27001, 37399])).
% 14.80/10.56 tff(37401,plain,
% 14.80/10.56 (~node4(s369)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26985, 36, 37078])).
% 14.80/10.56 tff(37402,plain,
% 14.80/10.56 (xuntil6(s369) | (~until5(s369))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26992, 294, 37401])).
% 14.80/10.56 tff(37403,plain,
% 14.80/10.56 (xuntil6(s369)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37402, 37400])).
% 14.80/10.56 tff(37404,plain,
% 14.80/10.56 (until5(s370)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26972, 37403])).
% 14.80/10.56 tff(37405,plain,
% 14.80/10.56 (~node4(s370)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26956, 36, 37077])).
% 14.80/10.56 tff(37406,plain,
% 14.80/10.56 (xuntil6(s370) | (~until5(s370))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26963, 294, 37405])).
% 14.80/10.56 tff(37407,plain,
% 14.80/10.56 (xuntil6(s370)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37406, 37404])).
% 14.80/10.56 tff(37408,plain,
% 14.80/10.56 (until5(s371)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26943, 37407])).
% 14.80/10.56 tff(37409,plain,
% 14.80/10.56 (~node4(s371)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26927, 36, 37076])).
% 14.80/10.56 tff(37410,plain,
% 14.80/10.56 (xuntil6(s371) | (~until5(s371))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26934, 294, 37409])).
% 14.80/10.56 tff(37411,plain,
% 14.80/10.56 (xuntil6(s371)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37410, 37408])).
% 14.80/10.56 tff(37412,plain,
% 14.80/10.56 (until5(s372)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26914, 37411])).
% 14.80/10.56 tff(37413,plain,
% 14.80/10.56 (~node4(s372)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26898, 36, 37075])).
% 14.80/10.56 tff(37414,plain,
% 14.80/10.56 (xuntil6(s372) | (~until5(s372))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26905, 294, 37413])).
% 14.80/10.56 tff(37415,plain,
% 14.80/10.56 (xuntil6(s372)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37414, 37412])).
% 14.80/10.56 tff(37416,plain,
% 14.80/10.56 (until5(s373)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26885, 37415])).
% 14.80/10.56 tff(37417,plain,
% 14.80/10.56 (~node4(s373)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26869, 36, 37074])).
% 14.80/10.56 tff(37418,plain,
% 14.80/10.56 (xuntil6(s373) | (~until5(s373))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26876, 294, 37417])).
% 14.80/10.56 tff(37419,plain,
% 14.80/10.56 (xuntil6(s373)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37418, 37416])).
% 14.80/10.56 tff(37420,plain,
% 14.80/10.56 (until5(s374)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26856, 37419])).
% 14.80/10.56 tff(37421,plain,
% 14.80/10.56 (~node4(s374)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26840, 36, 37073])).
% 14.80/10.56 tff(37422,plain,
% 14.80/10.56 (xuntil6(s374) | (~until5(s374))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26847, 294, 37421])).
% 14.80/10.56 tff(37423,plain,
% 14.80/10.56 (xuntil6(s374)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37422, 37420])).
% 14.80/10.56 tff(37424,plain,
% 14.80/10.56 (until5(s375)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26827, 37423])).
% 14.80/10.56 tff(37425,plain,
% 14.80/10.56 (~node4(s375)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26811, 36, 37072])).
% 14.80/10.56 tff(37426,plain,
% 14.80/10.56 (xuntil6(s375) | (~until5(s375))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26818, 294, 37425])).
% 14.80/10.56 tff(37427,plain,
% 14.80/10.56 (xuntil6(s375)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37426, 37424])).
% 14.80/10.56 tff(37428,plain,
% 14.80/10.56 (until5(s376)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26798, 37427])).
% 14.80/10.56 tff(37429,plain,
% 14.80/10.56 (~node4(s376)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26782, 36, 37071])).
% 14.80/10.56 tff(37430,plain,
% 14.80/10.56 (xuntil6(s376) | (~until5(s376))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26789, 294, 37429])).
% 14.80/10.56 tff(37431,plain,
% 14.80/10.56 (xuntil6(s376)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37430, 37428])).
% 14.80/10.56 tff(37432,plain,
% 14.80/10.56 (until5(s377)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26769, 37431])).
% 14.80/10.56 tff(37433,plain,
% 14.80/10.56 (~node4(s377)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26753, 36, 37070])).
% 14.80/10.56 tff(37434,plain,
% 14.80/10.56 (xuntil6(s377) | (~until5(s377))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26760, 294, 37433])).
% 14.80/10.56 tff(37435,plain,
% 14.80/10.56 (xuntil6(s377)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37434, 37432])).
% 14.80/10.56 tff(37436,plain,
% 14.80/10.56 (until5(s378)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26740, 37435])).
% 14.80/10.56 tff(37437,plain,
% 14.80/10.56 (~node4(s378)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26724, 36, 37069])).
% 14.80/10.56 tff(37438,plain,
% 14.80/10.56 (xuntil6(s378) | (~until5(s378))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26731, 294, 37437])).
% 14.80/10.56 tff(37439,plain,
% 14.80/10.56 (xuntil6(s378)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37438, 37436])).
% 14.80/10.56 tff(37440,plain,
% 14.80/10.56 (until5(s379)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26711, 37439])).
% 14.80/10.56 tff(37441,plain,
% 14.80/10.56 (~node4(s379)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26695, 36, 37068])).
% 14.80/10.56 tff(37442,plain,
% 14.80/10.56 (xuntil6(s379) | (~until5(s379))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26702, 294, 37441])).
% 14.80/10.56 tff(37443,plain,
% 14.80/10.56 (xuntil6(s379)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37442, 37440])).
% 14.80/10.56 tff(37444,plain,
% 14.80/10.56 (until5(s380)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26682, 37443])).
% 14.80/10.56 tff(37445,plain,
% 14.80/10.56 (~node4(s380)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26666, 36, 37067])).
% 14.80/10.56 tff(37446,plain,
% 14.80/10.56 (xuntil6(s380) | (~until5(s380))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26673, 294, 37445])).
% 14.80/10.56 tff(37447,plain,
% 14.80/10.56 (xuntil6(s380)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37446, 37444])).
% 14.80/10.56 tff(37448,plain,
% 14.80/10.56 (until5(s381)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26653, 37447])).
% 14.80/10.56 tff(37449,plain,
% 14.80/10.56 (~node4(s381)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26637, 36, 37066])).
% 14.80/10.56 tff(37450,plain,
% 14.80/10.56 (xuntil6(s381) | (~until5(s381))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26644, 294, 37449])).
% 14.80/10.56 tff(37451,plain,
% 14.80/10.56 (xuntil6(s381)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37450, 37448])).
% 14.80/10.56 tff(37452,plain,
% 14.80/10.56 (until5(s382)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26624, 37451])).
% 14.80/10.56 tff(37453,plain,
% 14.80/10.56 (~node4(s382)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26608, 36, 37065])).
% 14.80/10.56 tff(37454,plain,
% 14.80/10.56 (xuntil6(s382) | (~until5(s382))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26615, 294, 37453])).
% 14.80/10.56 tff(37455,plain,
% 14.80/10.56 (xuntil6(s382)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37454, 37452])).
% 14.80/10.56 tff(37456,plain,
% 14.80/10.56 (until5(s383)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26595, 37455])).
% 14.80/10.56 tff(37457,plain,
% 14.80/10.56 (~node4(s383)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26579, 36, 37064])).
% 14.80/10.56 tff(37458,plain,
% 14.80/10.56 (xuntil6(s383) | (~until5(s383))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26586, 294, 37457])).
% 14.80/10.56 tff(37459,plain,
% 14.80/10.56 (xuntil6(s383)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37458, 37456])).
% 14.80/10.56 tff(37460,plain,
% 14.80/10.56 (until5(s384)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26566, 37459])).
% 14.80/10.56 tff(37461,plain,
% 14.80/10.56 (~node4(s384)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26550, 36, 37063])).
% 14.80/10.56 tff(37462,plain,
% 14.80/10.56 (xuntil6(s384) | (~until5(s384))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26557, 294, 37461])).
% 14.80/10.56 tff(37463,plain,
% 14.80/10.56 (xuntil6(s384)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37462, 37460])).
% 14.80/10.56 tff(37464,plain,
% 14.80/10.56 (until5(s385)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26537, 37463])).
% 14.80/10.56 tff(37465,plain,
% 14.80/10.56 (~node4(s385)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26521, 36, 37062])).
% 14.80/10.56 tff(37466,plain,
% 14.80/10.56 (xuntil6(s385) | (~until5(s385))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26528, 294, 37465])).
% 14.80/10.56 tff(37467,plain,
% 14.80/10.56 (xuntil6(s385)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37466, 37464])).
% 14.80/10.56 tff(37468,plain,
% 14.80/10.56 (until5(s386)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26508, 37467])).
% 14.80/10.56 tff(37469,plain,
% 14.80/10.56 (~node4(s386)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26492, 36, 37061])).
% 14.80/10.56 tff(37470,plain,
% 14.80/10.56 (xuntil6(s386) | (~until5(s386))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26499, 294, 37469])).
% 14.80/10.56 tff(37471,plain,
% 14.80/10.56 (xuntil6(s386)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37470, 37468])).
% 14.80/10.56 tff(37472,plain,
% 14.80/10.56 (until5(s387)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26479, 37471])).
% 14.80/10.56 tff(37473,plain,
% 14.80/10.56 (~node4(s387)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26463, 36, 37060])).
% 14.80/10.56 tff(37474,plain,
% 14.80/10.56 (xuntil6(s387) | (~until5(s387))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26470, 294, 37473])).
% 14.80/10.56 tff(37475,plain,
% 14.80/10.56 (xuntil6(s387)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37474, 37472])).
% 14.80/10.56 tff(37476,plain,
% 14.80/10.56 (until5(s388)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26450, 37475])).
% 14.80/10.56 tff(37477,plain,
% 14.80/10.56 (~node4(s388)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26434, 36, 37059])).
% 14.80/10.56 tff(37478,plain,
% 14.80/10.56 (xuntil6(s388) | (~until5(s388))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26441, 294, 37477])).
% 14.80/10.56 tff(37479,plain,
% 14.80/10.56 (xuntil6(s388)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37478, 37476])).
% 14.80/10.56 tff(37480,plain,
% 14.80/10.56 (until5(s389)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26421, 37479])).
% 14.80/10.56 tff(37481,plain,
% 14.80/10.56 (~node4(s389)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26405, 36, 37058])).
% 14.80/10.56 tff(37482,plain,
% 14.80/10.56 (xuntil6(s389) | (~until5(s389))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26412, 294, 37481])).
% 14.80/10.56 tff(37483,plain,
% 14.80/10.56 (xuntil6(s389)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37482, 37480])).
% 14.80/10.56 tff(37484,plain,
% 14.80/10.56 (until5(s390)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26392, 37483])).
% 14.80/10.56 tff(37485,plain,
% 14.80/10.56 (~node4(s390)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26376, 36, 37057])).
% 14.80/10.56 tff(37486,plain,
% 14.80/10.56 (xuntil6(s390) | (~until5(s390))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26383, 294, 37485])).
% 14.80/10.56 tff(37487,plain,
% 14.80/10.56 (xuntil6(s390)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37486, 37484])).
% 14.80/10.56 tff(37488,plain,
% 14.80/10.56 (until5(s391)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26363, 37487])).
% 14.80/10.56 tff(37489,plain,
% 14.80/10.56 (~node4(s391)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26347, 36, 37056])).
% 14.80/10.56 tff(37490,plain,
% 14.80/10.56 (xuntil6(s391) | (~until5(s391))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26354, 294, 37489])).
% 14.80/10.56 tff(37491,plain,
% 14.80/10.56 (xuntil6(s391)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37490, 37488])).
% 14.80/10.56 tff(37492,plain,
% 14.80/10.56 (until5(s392)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26334, 37491])).
% 14.80/10.56 tff(37493,plain,
% 14.80/10.56 (~node4(s392)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26318, 36, 37055])).
% 14.80/10.56 tff(37494,plain,
% 14.80/10.56 (xuntil6(s392) | (~until5(s392))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26325, 294, 37493])).
% 14.80/10.56 tff(37495,plain,
% 14.80/10.56 (xuntil6(s392)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37494, 37492])).
% 14.80/10.56 tff(37496,plain,
% 14.80/10.56 (until5(s393)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26305, 37495])).
% 14.80/10.56 tff(37497,plain,
% 14.80/10.56 (~node4(s393)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26289, 36, 37054])).
% 14.80/10.56 tff(37498,plain,
% 14.80/10.56 (xuntil6(s393) | (~until5(s393))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26296, 294, 37497])).
% 14.80/10.56 tff(37499,plain,
% 14.80/10.56 (xuntil6(s393)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37498, 37496])).
% 14.80/10.56 tff(37500,plain,
% 14.80/10.56 (until5(s394)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26276, 37499])).
% 14.80/10.56 tff(37501,plain,
% 14.80/10.56 (~node4(s394)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26260, 36, 37053])).
% 14.80/10.56 tff(37502,plain,
% 14.80/10.56 (xuntil6(s394) | (~until5(s394))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26267, 294, 37501])).
% 14.80/10.56 tff(37503,plain,
% 14.80/10.56 (xuntil6(s394)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37502, 37500])).
% 14.80/10.56 tff(37504,plain,
% 14.80/10.56 (until5(s395)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26247, 37503])).
% 14.80/10.56 tff(37505,plain,
% 14.80/10.56 (~node4(s395)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26215, 36, 37052])).
% 14.80/10.56 tff(37506,plain,
% 14.80/10.56 (xuntil6(s395) | (~until5(s395))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26239, 294, 37505])).
% 14.80/10.56 tff(37507,plain,
% 14.80/10.56 (xuntil6(s395)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37506, 37504])).
% 14.80/10.56 tff(37508,plain,
% 14.80/10.56 (until5(s396)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26232, 37507])).
% 14.80/10.56 tff(37509,plain,
% 14.80/10.56 (~node4(s396)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26219, 36, 37051])).
% 14.80/10.56 tff(37510,plain,
% 14.80/10.56 (xuntil6(s396) | (~until5(s396))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[26226, 294, 37509])).
% 14.80/10.56 tff(37511,plain,
% 14.80/10.56 (xuntil6(s396)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37510, 37508])).
% 14.80/10.56 tff(37512,plain,
% 14.80/10.56 (until5(s397)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[36969, 37511])).
% 14.80/10.56 tff(37513,plain,
% 14.80/10.56 (~node4(s397)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[36988, 36, 37050])).
% 14.80/10.56 tff(37514,plain,
% 14.80/10.56 (xuntil6(s397) | (~until5(s397))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[36995, 294, 37513])).
% 14.80/10.56 tff(37515,plain,
% 14.80/10.56 (xuntil6(s397)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37514, 37512])).
% 14.80/10.56 tff(37516,plain,
% 14.80/10.56 (until5(s398)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37001, 37515])).
% 14.80/10.56 tff(37517,plain,
% 14.80/10.56 (~node4(s398)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37013, 36, 37049])).
% 14.80/10.56 tff(37518,plain,
% 14.80/10.56 (xuntil6(s398) | (~until5(s398))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37008, 294, 37517])).
% 14.80/10.56 tff(37519,plain,
% 14.80/10.56 (xuntil6(s398)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37518, 37516])).
% 14.80/10.56 tff(37520,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s398, s399)) | (~xuntil6(s398)) | until5(s399))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s398, s399)) | (~xuntil6(s398)) | until5(s399))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37521,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s398, s399)) | (~xuntil6(s398)) | until5(s399))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37522,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s398, s399)) | (~xuntil6(s398)) | until5(s399)),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37521, 37520])).
% 14.80/10.56 tff(37523,plain,
% 14.80/10.56 ((~xuntil6(s398)) | until5(s399)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37522, 37037, 312])).
% 14.80/10.56 tff(37524,plain,
% 14.80/10.56 (until5(s399)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37523, 37519])).
% 14.80/10.56 tff(37525,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s399) | node4(s399) | (~until5(s399)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s399) | node4(s399) | (~until5(s399)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37526,plain,
% 14.80/10.56 ((node4(s399) | (~until5(s399)) | xuntil6(s399)) <=> (xuntil6(s399) | node4(s399) | (~until5(s399)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37527,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s399) | (~until5(s399)) | xuntil6(s399))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s399) | node4(s399) | (~until5(s399))))),
% 14.80/10.56 inference(monotonicity,[status(thm)],[37526])).
% 14.80/10.56 tff(37528,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s399) | (~until5(s399)) | xuntil6(s399))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s399) | node4(s399) | (~until5(s399)))),
% 14.80/10.56 inference(transitivity,[status(thm)],[37527, 37525])).
% 14.80/10.56 tff(37529,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s399) | (~until5(s399)) | xuntil6(s399))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37530,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s399) | node4(s399) | (~until5(s399))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37529, 37528])).
% 14.80/10.56 tff(37531,plain,
% 14.80/10.56 (xuntil6(s399) | node4(s399)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37530, 294, 37524])).
% 14.80/10.56 tff(37532,plain,
% 14.80/10.56 (xuntil6(s399)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37531, 37034])).
% 14.80/10.56 tff(37533,plain,
% 14.80/10.56 (^[X: $i] : refl(((~last(X)) | (~xuntil2p8(X))) <=> ((~last(X)) | (~xuntil2p8(X))))),
% 14.80/10.56 inference(bind,[status(th)],[])).
% 14.80/10.56 tff(37534,plain,
% 14.80/10.56 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(quant_intro,[status(thm)],[37533])).
% 14.80/10.56 tff(37535,plain,
% 14.80/10.56 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37536,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty12')).
% 14.80/10.56 tff(37537,plain,
% 14.80/10.56 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37536, 37535])).
% 14.80/10.56 tff(37538,plain,(
% 14.80/10.56 ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(skolemize,[status(sab)],[37537])).
% 14.80/10.56 tff(37539,plain,
% 14.80/10.56 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37538, 37534])).
% 14.80/10.56 tff(37540,plain,
% 14.80/10.56 (last(s399) <=> last(s399)),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37541,axiom,(last(s399)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound400')).
% 14.80/10.56 tff(37542,plain,
% 14.80/10.56 (last(s399)),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37541, 37540])).
% 14.80/10.56 tff(37543,plain,
% 14.80/10.56 (((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s399)) | (~xuntil2p8(s399)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s399)) | (~xuntil2p8(s399)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37544,plain,
% 14.80/10.56 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s399)) | (~xuntil2p8(s399)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37545,plain,
% 14.80/10.56 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s399)) | (~xuntil2p8(s399))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37544, 37543])).
% 14.80/10.56 tff(37546,plain,
% 14.80/10.56 (~xuntil2p8(s399)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37545, 37542, 37539])).
% 14.80/10.56 tff(37547,plain,
% 14.80/10.56 (^[X: $i] : refl((node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 14.80/10.56 inference(bind,[status(th)],[])).
% 14.80/10.56 tff(37548,plain,
% 14.80/10.56 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 14.80/10.56 inference(quant_intro,[status(thm)],[37547])).
% 14.80/10.56 tff(37549,plain,
% 14.80/10.56 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37550,plain,
% 14.80/10.56 (^[X: $i] : rewrite(((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 14.80/10.56 inference(bind,[status(th)],[])).
% 14.80/10.56 tff(37551,plain,
% 14.80/10.56 (![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 14.80/10.56 inference(quant_intro,[status(thm)],[37550])).
% 14.80/10.56 tff(37552,axiom,(![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty10')).
% 14.80/10.56 tff(37553,plain,
% 14.80/10.56 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37552, 37551])).
% 14.80/10.56 tff(37554,plain,
% 14.80/10.56 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37553, 37549])).
% 14.80/10.56 tff(37555,plain,(
% 14.80/10.56 ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 14.80/10.56 inference(skolemize,[status(sab)],[37554])).
% 14.80/10.56 tff(37556,plain,
% 14.80/10.56 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37555, 37548])).
% 14.80/10.56 tff(37557,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s399) | xuntil2p8(s399) | (~until2p7(s399)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s399) | xuntil2p8(s399) | (~until2p7(s399)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37558,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s399) | xuntil2p8(s399) | (~until2p7(s399)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37559,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s399) | xuntil2p8(s399) | (~until2p7(s399))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37558, 37557])).
% 14.80/10.56 tff(37560,plain,
% 14.80/10.56 (node4(s399) | (~until2p7(s399))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37559, 37556, 37546])).
% 14.80/10.56 tff(37561,plain,
% 14.80/10.56 (~until2p7(s399)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37560, 37034])).
% 14.80/10.56 tff(37562,plain,
% 14.80/10.56 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 14.80/10.56 inference(bind,[status(th)],[])).
% 14.80/10.56 tff(37563,plain,
% 14.80/10.56 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(quant_intro,[status(thm)],[37562])).
% 14.80/10.56 tff(37564,plain,
% 14.80/10.56 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37565,plain,
% 14.80/10.56 (^[Y: $i, X: $i] : rewrite(((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 14.80/10.56 inference(bind,[status(th)],[])).
% 14.80/10.56 tff(37566,plain,
% 14.80/10.56 (![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(quant_intro,[status(thm)],[37565])).
% 14.80/10.56 tff(37567,axiom,(![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty11')).
% 14.80/10.56 tff(37568,plain,
% 14.80/10.56 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37567, 37566])).
% 14.80/10.56 tff(37569,plain,
% 14.80/10.56 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37568, 37564])).
% 14.80/10.56 tff(37570,plain,(
% 14.80/10.56 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(skolemize,[status(sab)],[37569])).
% 14.80/10.56 tff(37571,plain,
% 14.80/10.56 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37570, 37563])).
% 14.80/10.56 tff(37572,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s398, s399)) | until2p7(s399) | (~xuntil2p8(s398)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s398, s399)) | until2p7(s399) | (~xuntil2p8(s398)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37573,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s398, s399)) | until2p7(s399) | (~xuntil2p8(s398)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37574,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s398, s399)) | until2p7(s399) | (~xuntil2p8(s398))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37573, 37572])).
% 14.80/10.56 tff(37575,plain,
% 14.80/10.56 (until2p7(s399) | (~xuntil2p8(s398))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37574, 37037, 37571])).
% 14.80/10.56 tff(37576,plain,
% 14.80/10.56 (~xuntil2p8(s398)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37575, 37561])).
% 14.80/10.56 tff(37577,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s398) | xuntil2p8(s398) | (~until2p7(s398)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s398) | xuntil2p8(s398) | (~until2p7(s398)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37578,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s398) | xuntil2p8(s398) | (~until2p7(s398)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37579,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s398) | xuntil2p8(s398) | (~until2p7(s398))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37578, 37577])).
% 14.80/10.56 tff(37580,plain,
% 14.80/10.56 (xuntil2p8(s398) | (~until2p7(s398))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37579, 37556, 37517])).
% 14.80/10.56 tff(37581,plain,
% 14.80/10.56 (~until2p7(s398)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37580, 37576])).
% 14.80/10.56 tff(37582,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s397, s398)) | until2p7(s398) | (~xuntil2p8(s397)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s397, s398)) | until2p7(s398) | (~xuntil2p8(s397)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37583,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s397, s398)) | until2p7(s398) | (~xuntil2p8(s397)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37584,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s397, s398)) | until2p7(s398) | (~xuntil2p8(s397))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37583, 37582])).
% 14.80/10.56 tff(37585,plain,
% 14.80/10.56 (until2p7(s398) | (~xuntil2p8(s397))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37584, 36976, 37571])).
% 14.80/10.56 tff(37586,plain,
% 14.80/10.56 (~xuntil2p8(s397)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37585, 37581])).
% 14.80/10.56 tff(37587,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s397) | xuntil2p8(s397) | (~until2p7(s397)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s397) | xuntil2p8(s397) | (~until2p7(s397)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37588,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s397) | xuntil2p8(s397) | (~until2p7(s397)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37589,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s397) | xuntil2p8(s397) | (~until2p7(s397))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37588, 37587])).
% 14.80/10.56 tff(37590,plain,
% 14.80/10.56 (xuntil2p8(s397) | (~until2p7(s397))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37589, 37556, 37513])).
% 14.80/10.56 tff(37591,plain,
% 14.80/10.56 (~until2p7(s397)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37590, 37586])).
% 14.80/10.56 tff(37592,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s396, s397)) | until2p7(s397) | (~xuntil2p8(s396)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s396, s397)) | until2p7(s397) | (~xuntil2p8(s396)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37593,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s396, s397)) | until2p7(s397) | (~xuntil2p8(s396)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37594,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s396, s397)) | until2p7(s397) | (~xuntil2p8(s396))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37593, 37592])).
% 14.80/10.56 tff(37595,plain,
% 14.80/10.56 (until2p7(s397) | (~xuntil2p8(s396))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37594, 28767, 37571])).
% 14.80/10.56 tff(37596,plain,
% 14.80/10.56 (~xuntil2p8(s396)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37595, 37591])).
% 14.80/10.56 tff(37597,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s396) | xuntil2p8(s396) | (~until2p7(s396)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s396) | xuntil2p8(s396) | (~until2p7(s396)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37598,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s396) | xuntil2p8(s396) | (~until2p7(s396)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37599,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s396) | xuntil2p8(s396) | (~until2p7(s396))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37598, 37597])).
% 14.80/10.56 tff(37600,plain,
% 14.80/10.56 (xuntil2p8(s396) | (~until2p7(s396))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37599, 37556, 37509])).
% 14.80/10.56 tff(37601,plain,
% 14.80/10.56 (~until2p7(s396)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37600, 37596])).
% 14.80/10.56 tff(37602,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s395, s396)) | until2p7(s396) | (~xuntil2p8(s395)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s395, s396)) | until2p7(s396) | (~xuntil2p8(s395)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37603,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s395, s396)) | until2p7(s396) | (~xuntil2p8(s395)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37604,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s395, s396)) | until2p7(s396) | (~xuntil2p8(s395))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37603, 37602])).
% 14.80/10.56 tff(37605,plain,
% 14.80/10.56 (until2p7(s396) | (~xuntil2p8(s395))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37604, 26203, 37571])).
% 14.80/10.56 tff(37606,plain,
% 14.80/10.56 (~xuntil2p8(s395)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37605, 37601])).
% 14.80/10.56 tff(37607,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s395) | xuntil2p8(s395) | (~until2p7(s395)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s395) | xuntil2p8(s395) | (~until2p7(s395)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37608,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s395) | xuntil2p8(s395) | (~until2p7(s395)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37609,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s395) | xuntil2p8(s395) | (~until2p7(s395))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37608, 37607])).
% 14.80/10.56 tff(37610,plain,
% 14.80/10.56 (xuntil2p8(s395) | (~until2p7(s395))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37609, 37556, 37505])).
% 14.80/10.56 tff(37611,plain,
% 14.80/10.56 (~until2p7(s395)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37610, 37606])).
% 14.80/10.56 tff(37612,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s394, s395)) | until2p7(s395) | (~xuntil2p8(s394)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s394, s395)) | until2p7(s395) | (~xuntil2p8(s394)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37613,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s394, s395)) | until2p7(s395) | (~xuntil2p8(s394)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37614,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s394, s395)) | until2p7(s395) | (~xuntil2p8(s394))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37613, 37612])).
% 14.80/10.56 tff(37615,plain,
% 14.80/10.56 (until2p7(s395) | (~xuntil2p8(s394))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37614, 26243, 37571])).
% 14.80/10.56 tff(37616,plain,
% 14.80/10.56 (~xuntil2p8(s394)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37615, 37611])).
% 14.80/10.56 tff(37617,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s394) | xuntil2p8(s394) | (~until2p7(s394)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s394) | xuntil2p8(s394) | (~until2p7(s394)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37618,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s394) | xuntil2p8(s394) | (~until2p7(s394)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37619,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s394) | xuntil2p8(s394) | (~until2p7(s394))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37618, 37617])).
% 14.80/10.56 tff(37620,plain,
% 14.80/10.56 (xuntil2p8(s394) | (~until2p7(s394))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37619, 37556, 37501])).
% 14.80/10.56 tff(37621,plain,
% 14.80/10.56 (~until2p7(s394)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37620, 37616])).
% 14.80/10.56 tff(37622,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s393, s394)) | until2p7(s394) | (~xuntil2p8(s393)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s393, s394)) | until2p7(s394) | (~xuntil2p8(s393)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37623,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s393, s394)) | until2p7(s394) | (~xuntil2p8(s393)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37624,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s393, s394)) | until2p7(s394) | (~xuntil2p8(s393))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37623, 37622])).
% 14.80/10.56 tff(37625,plain,
% 14.80/10.56 (until2p7(s394) | (~xuntil2p8(s393))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37624, 26272, 37571])).
% 14.80/10.56 tff(37626,plain,
% 14.80/10.56 (~xuntil2p8(s393)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37625, 37621])).
% 14.80/10.56 tff(37627,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s393) | xuntil2p8(s393) | (~until2p7(s393)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s393) | xuntil2p8(s393) | (~until2p7(s393)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37628,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s393) | xuntil2p8(s393) | (~until2p7(s393)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37629,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s393) | xuntil2p8(s393) | (~until2p7(s393))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37628, 37627])).
% 14.80/10.56 tff(37630,plain,
% 14.80/10.56 (xuntil2p8(s393) | (~until2p7(s393))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37629, 37556, 37497])).
% 14.80/10.56 tff(37631,plain,
% 14.80/10.56 (~until2p7(s393)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37630, 37626])).
% 14.80/10.56 tff(37632,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s392, s393)) | until2p7(s393) | (~xuntil2p8(s392)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s392, s393)) | until2p7(s393) | (~xuntil2p8(s392)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37633,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s392, s393)) | until2p7(s393) | (~xuntil2p8(s392)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37634,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s392, s393)) | until2p7(s393) | (~xuntil2p8(s392))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37633, 37632])).
% 14.80/10.56 tff(37635,plain,
% 14.80/10.56 (until2p7(s393) | (~xuntil2p8(s392))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37634, 26301, 37571])).
% 14.80/10.56 tff(37636,plain,
% 14.80/10.56 (~xuntil2p8(s392)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37635, 37631])).
% 14.80/10.56 tff(37637,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s392) | xuntil2p8(s392) | (~until2p7(s392)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s392) | xuntil2p8(s392) | (~until2p7(s392)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37638,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s392) | xuntil2p8(s392) | (~until2p7(s392)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37639,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s392) | xuntil2p8(s392) | (~until2p7(s392))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37638, 37637])).
% 14.80/10.56 tff(37640,plain,
% 14.80/10.56 (xuntil2p8(s392) | (~until2p7(s392))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37639, 37556, 37493])).
% 14.80/10.56 tff(37641,plain,
% 14.80/10.56 (~until2p7(s392)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37640, 37636])).
% 14.80/10.56 tff(37642,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s391, s392)) | until2p7(s392) | (~xuntil2p8(s391)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s391, s392)) | until2p7(s392) | (~xuntil2p8(s391)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37643,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s391, s392)) | until2p7(s392) | (~xuntil2p8(s391)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37644,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s391, s392)) | until2p7(s392) | (~xuntil2p8(s391))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37643, 37642])).
% 14.80/10.56 tff(37645,plain,
% 14.80/10.56 (until2p7(s392) | (~xuntil2p8(s391))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37644, 26330, 37571])).
% 14.80/10.56 tff(37646,plain,
% 14.80/10.56 (~xuntil2p8(s391)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37645, 37641])).
% 14.80/10.56 tff(37647,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s391) | xuntil2p8(s391) | (~until2p7(s391)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s391) | xuntil2p8(s391) | (~until2p7(s391)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37648,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s391) | xuntil2p8(s391) | (~until2p7(s391)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37649,plain,
% 14.80/10.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s391) | xuntil2p8(s391) | (~until2p7(s391))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37648, 37647])).
% 14.80/10.56 tff(37650,plain,
% 14.80/10.56 (xuntil2p8(s391) | (~until2p7(s391))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37649, 37556, 37489])).
% 14.80/10.56 tff(37651,plain,
% 14.80/10.56 (~until2p7(s391)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37650, 37646])).
% 14.80/10.56 tff(37652,plain,
% 14.80/10.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s390, s391)) | until2p7(s391) | (~xuntil2p8(s390)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s390, s391)) | until2p7(s391) | (~xuntil2p8(s390)))),
% 14.80/10.56 inference(rewrite,[status(thm)],[])).
% 14.80/10.56 tff(37653,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s390, s391)) | until2p7(s391) | (~xuntil2p8(s390)))),
% 14.80/10.56 inference(quant_inst,[status(thm)],[])).
% 14.80/10.56 tff(37654,plain,
% 14.80/10.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s390, s391)) | until2p7(s391) | (~xuntil2p8(s390))),
% 14.80/10.56 inference(modus_ponens,[status(thm)],[37653, 37652])).
% 14.80/10.56 tff(37655,plain,
% 14.80/10.56 (until2p7(s391) | (~xuntil2p8(s390))),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37654, 26359, 37571])).
% 14.80/10.56 tff(37656,plain,
% 14.80/10.56 (~xuntil2p8(s390)),
% 14.80/10.56 inference(unit_resolution,[status(thm)],[37655, 37651])).
% 14.80/10.56 tff(37657,plain,
% 14.80/10.56 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s390) | xuntil2p8(s390) | (~until2p7(s390)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s390) | xuntil2p8(s390) | (~until2p7(s390)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37658,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s390) | xuntil2p8(s390) | (~until2p7(s390)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37659,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s390) | xuntil2p8(s390) | (~until2p7(s390))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37658, 37657])).
% 14.80/10.57 tff(37660,plain,
% 14.80/10.57 (xuntil2p8(s390) | (~until2p7(s390))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37659, 37556, 37485])).
% 14.80/10.57 tff(37661,plain,
% 14.80/10.57 (~until2p7(s390)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37660, 37656])).
% 14.80/10.57 tff(37662,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s389, s390)) | until2p7(s390) | (~xuntil2p8(s389)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s389, s390)) | until2p7(s390) | (~xuntil2p8(s389)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37663,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s389, s390)) | until2p7(s390) | (~xuntil2p8(s389)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37664,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s389, s390)) | until2p7(s390) | (~xuntil2p8(s389))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37663, 37662])).
% 14.80/10.57 tff(37665,plain,
% 14.80/10.57 (until2p7(s390) | (~xuntil2p8(s389))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37664, 26388, 37571])).
% 14.80/10.57 tff(37666,plain,
% 14.80/10.57 (~xuntil2p8(s389)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37665, 37661])).
% 14.80/10.57 tff(37667,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s389) | xuntil2p8(s389) | (~until2p7(s389)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s389) | xuntil2p8(s389) | (~until2p7(s389)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37668,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s389) | xuntil2p8(s389) | (~until2p7(s389)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37669,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s389) | xuntil2p8(s389) | (~until2p7(s389))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37668, 37667])).
% 14.80/10.57 tff(37670,plain,
% 14.80/10.57 (xuntil2p8(s389) | (~until2p7(s389))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37669, 37556, 37481])).
% 14.80/10.57 tff(37671,plain,
% 14.80/10.57 (~until2p7(s389)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37670, 37666])).
% 14.80/10.57 tff(37672,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s388, s389)) | until2p7(s389) | (~xuntil2p8(s388)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s388, s389)) | until2p7(s389) | (~xuntil2p8(s388)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37673,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s388, s389)) | until2p7(s389) | (~xuntil2p8(s388)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37674,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s388, s389)) | until2p7(s389) | (~xuntil2p8(s388))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37673, 37672])).
% 14.80/10.57 tff(37675,plain,
% 14.80/10.57 (until2p7(s389) | (~xuntil2p8(s388))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37674, 26417, 37571])).
% 14.80/10.57 tff(37676,plain,
% 14.80/10.57 (~xuntil2p8(s388)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37675, 37671])).
% 14.80/10.57 tff(37677,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s388) | xuntil2p8(s388) | (~until2p7(s388)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s388) | xuntil2p8(s388) | (~until2p7(s388)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37678,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s388) | xuntil2p8(s388) | (~until2p7(s388)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37679,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s388) | xuntil2p8(s388) | (~until2p7(s388))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37678, 37677])).
% 14.80/10.57 tff(37680,plain,
% 14.80/10.57 (xuntil2p8(s388) | (~until2p7(s388))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37679, 37556, 37477])).
% 14.80/10.57 tff(37681,plain,
% 14.80/10.57 (~until2p7(s388)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37680, 37676])).
% 14.80/10.57 tff(37682,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s387, s388)) | until2p7(s388) | (~xuntil2p8(s387)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s387, s388)) | until2p7(s388) | (~xuntil2p8(s387)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37683,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s387, s388)) | until2p7(s388) | (~xuntil2p8(s387)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37684,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s387, s388)) | until2p7(s388) | (~xuntil2p8(s387))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37683, 37682])).
% 14.80/10.57 tff(37685,plain,
% 14.80/10.57 (until2p7(s388) | (~xuntil2p8(s387))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37684, 26446, 37571])).
% 14.80/10.57 tff(37686,plain,
% 14.80/10.57 (~xuntil2p8(s387)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37685, 37681])).
% 14.80/10.57 tff(37687,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s387) | xuntil2p8(s387) | (~until2p7(s387)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s387) | xuntil2p8(s387) | (~until2p7(s387)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37688,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s387) | xuntil2p8(s387) | (~until2p7(s387)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37689,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s387) | xuntil2p8(s387) | (~until2p7(s387))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37688, 37687])).
% 14.80/10.57 tff(37690,plain,
% 14.80/10.57 (xuntil2p8(s387) | (~until2p7(s387))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37689, 37556, 37473])).
% 14.80/10.57 tff(37691,plain,
% 14.80/10.57 (~until2p7(s387)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37690, 37686])).
% 14.80/10.57 tff(37692,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s386, s387)) | until2p7(s387) | (~xuntil2p8(s386)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s386, s387)) | until2p7(s387) | (~xuntil2p8(s386)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37693,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s386, s387)) | until2p7(s387) | (~xuntil2p8(s386)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37694,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s386, s387)) | until2p7(s387) | (~xuntil2p8(s386))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37693, 37692])).
% 14.80/10.57 tff(37695,plain,
% 14.80/10.57 (until2p7(s387) | (~xuntil2p8(s386))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37694, 26475, 37571])).
% 14.80/10.57 tff(37696,plain,
% 14.80/10.57 (~xuntil2p8(s386)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37695, 37691])).
% 14.80/10.57 tff(37697,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s386) | xuntil2p8(s386) | (~until2p7(s386)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s386) | xuntil2p8(s386) | (~until2p7(s386)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37698,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s386) | xuntil2p8(s386) | (~until2p7(s386)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37699,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s386) | xuntil2p8(s386) | (~until2p7(s386))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37698, 37697])).
% 14.80/10.57 tff(37700,plain,
% 14.80/10.57 (xuntil2p8(s386) | (~until2p7(s386))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37699, 37556, 37469])).
% 14.80/10.57 tff(37701,plain,
% 14.80/10.57 (~until2p7(s386)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37700, 37696])).
% 14.80/10.57 tff(37702,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s385, s386)) | until2p7(s386) | (~xuntil2p8(s385)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s385, s386)) | until2p7(s386) | (~xuntil2p8(s385)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37703,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s385, s386)) | until2p7(s386) | (~xuntil2p8(s385)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37704,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s385, s386)) | until2p7(s386) | (~xuntil2p8(s385))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37703, 37702])).
% 14.80/10.57 tff(37705,plain,
% 14.80/10.57 (until2p7(s386) | (~xuntil2p8(s385))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37704, 26504, 37571])).
% 14.80/10.57 tff(37706,plain,
% 14.80/10.57 (~xuntil2p8(s385)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37705, 37701])).
% 14.80/10.57 tff(37707,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s385) | xuntil2p8(s385) | (~until2p7(s385)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s385) | xuntil2p8(s385) | (~until2p7(s385)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37708,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s385) | xuntil2p8(s385) | (~until2p7(s385)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37709,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s385) | xuntil2p8(s385) | (~until2p7(s385))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37708, 37707])).
% 14.80/10.57 tff(37710,plain,
% 14.80/10.57 (xuntil2p8(s385) | (~until2p7(s385))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37709, 37556, 37465])).
% 14.80/10.57 tff(37711,plain,
% 14.80/10.57 (~until2p7(s385)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37710, 37706])).
% 14.80/10.57 tff(37712,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s384, s385)) | until2p7(s385) | (~xuntil2p8(s384)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s384, s385)) | until2p7(s385) | (~xuntil2p8(s384)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37713,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s384, s385)) | until2p7(s385) | (~xuntil2p8(s384)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37714,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s384, s385)) | until2p7(s385) | (~xuntil2p8(s384))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37713, 37712])).
% 14.80/10.57 tff(37715,plain,
% 14.80/10.57 (until2p7(s385) | (~xuntil2p8(s384))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37714, 26533, 37571])).
% 14.80/10.57 tff(37716,plain,
% 14.80/10.57 (~xuntil2p8(s384)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37715, 37711])).
% 14.80/10.57 tff(37717,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s384) | xuntil2p8(s384) | (~until2p7(s384)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s384) | xuntil2p8(s384) | (~until2p7(s384)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37718,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s384) | xuntil2p8(s384) | (~until2p7(s384)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37719,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s384) | xuntil2p8(s384) | (~until2p7(s384))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37718, 37717])).
% 14.80/10.57 tff(37720,plain,
% 14.80/10.57 (xuntil2p8(s384) | (~until2p7(s384))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37719, 37556, 37461])).
% 14.80/10.57 tff(37721,plain,
% 14.80/10.57 (~until2p7(s384)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37720, 37716])).
% 14.80/10.57 tff(37722,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s383, s384)) | until2p7(s384) | (~xuntil2p8(s383)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s383, s384)) | until2p7(s384) | (~xuntil2p8(s383)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37723,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s383, s384)) | until2p7(s384) | (~xuntil2p8(s383)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37724,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s383, s384)) | until2p7(s384) | (~xuntil2p8(s383))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37723, 37722])).
% 14.80/10.57 tff(37725,plain,
% 14.80/10.57 (until2p7(s384) | (~xuntil2p8(s383))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37724, 26562, 37571])).
% 14.80/10.57 tff(37726,plain,
% 14.80/10.57 (~xuntil2p8(s383)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37725, 37721])).
% 14.80/10.57 tff(37727,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s383) | xuntil2p8(s383) | (~until2p7(s383)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s383) | xuntil2p8(s383) | (~until2p7(s383)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37728,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s383) | xuntil2p8(s383) | (~until2p7(s383)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37729,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s383) | xuntil2p8(s383) | (~until2p7(s383))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37728, 37727])).
% 14.80/10.57 tff(37730,plain,
% 14.80/10.57 (xuntil2p8(s383) | (~until2p7(s383))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37729, 37556, 37457])).
% 14.80/10.57 tff(37731,plain,
% 14.80/10.57 (~until2p7(s383)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37730, 37726])).
% 14.80/10.57 tff(37732,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s382, s383)) | until2p7(s383) | (~xuntil2p8(s382)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s382, s383)) | until2p7(s383) | (~xuntil2p8(s382)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37733,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s382, s383)) | until2p7(s383) | (~xuntil2p8(s382)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37734,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s382, s383)) | until2p7(s383) | (~xuntil2p8(s382))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37733, 37732])).
% 14.80/10.57 tff(37735,plain,
% 14.80/10.57 (until2p7(s383) | (~xuntil2p8(s382))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37734, 26591, 37571])).
% 14.80/10.57 tff(37736,plain,
% 14.80/10.57 (~xuntil2p8(s382)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37735, 37731])).
% 14.80/10.57 tff(37737,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s382) | xuntil2p8(s382) | (~until2p7(s382)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s382) | xuntil2p8(s382) | (~until2p7(s382)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37738,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s382) | xuntil2p8(s382) | (~until2p7(s382)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37739,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s382) | xuntil2p8(s382) | (~until2p7(s382))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37738, 37737])).
% 14.80/10.57 tff(37740,plain,
% 14.80/10.57 (xuntil2p8(s382) | (~until2p7(s382))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37739, 37556, 37453])).
% 14.80/10.57 tff(37741,plain,
% 14.80/10.57 (~until2p7(s382)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37740, 37736])).
% 14.80/10.57 tff(37742,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s381, s382)) | until2p7(s382) | (~xuntil2p8(s381)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s381, s382)) | until2p7(s382) | (~xuntil2p8(s381)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37743,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s381, s382)) | until2p7(s382) | (~xuntil2p8(s381)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37744,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s381, s382)) | until2p7(s382) | (~xuntil2p8(s381))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37743, 37742])).
% 14.80/10.57 tff(37745,plain,
% 14.80/10.57 (until2p7(s382) | (~xuntil2p8(s381))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37744, 26620, 37571])).
% 14.80/10.57 tff(37746,plain,
% 14.80/10.57 (~xuntil2p8(s381)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37745, 37741])).
% 14.80/10.57 tff(37747,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s381) | xuntil2p8(s381) | (~until2p7(s381)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s381) | xuntil2p8(s381) | (~until2p7(s381)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37748,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s381) | xuntil2p8(s381) | (~until2p7(s381)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37749,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s381) | xuntil2p8(s381) | (~until2p7(s381))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37748, 37747])).
% 14.80/10.57 tff(37750,plain,
% 14.80/10.57 (xuntil2p8(s381) | (~until2p7(s381))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37749, 37556, 37449])).
% 14.80/10.57 tff(37751,plain,
% 14.80/10.57 (~until2p7(s381)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37750, 37746])).
% 14.80/10.57 tff(37752,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s380, s381)) | until2p7(s381) | (~xuntil2p8(s380)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s380, s381)) | until2p7(s381) | (~xuntil2p8(s380)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37753,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s380, s381)) | until2p7(s381) | (~xuntil2p8(s380)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37754,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s380, s381)) | until2p7(s381) | (~xuntil2p8(s380))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37753, 37752])).
% 14.80/10.57 tff(37755,plain,
% 14.80/10.57 (until2p7(s381) | (~xuntil2p8(s380))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37754, 26649, 37571])).
% 14.80/10.57 tff(37756,plain,
% 14.80/10.57 (~xuntil2p8(s380)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37755, 37751])).
% 14.80/10.57 tff(37757,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s380) | xuntil2p8(s380) | (~until2p7(s380)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s380) | xuntil2p8(s380) | (~until2p7(s380)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37758,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s380) | xuntil2p8(s380) | (~until2p7(s380)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37759,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s380) | xuntil2p8(s380) | (~until2p7(s380))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37758, 37757])).
% 14.80/10.57 tff(37760,plain,
% 14.80/10.57 (xuntil2p8(s380) | (~until2p7(s380))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37759, 37556, 37445])).
% 14.80/10.57 tff(37761,plain,
% 14.80/10.57 (~until2p7(s380)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37760, 37756])).
% 14.80/10.57 tff(37762,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s379, s380)) | until2p7(s380) | (~xuntil2p8(s379)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s379, s380)) | until2p7(s380) | (~xuntil2p8(s379)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37763,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s379, s380)) | until2p7(s380) | (~xuntil2p8(s379)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37764,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s379, s380)) | until2p7(s380) | (~xuntil2p8(s379))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37763, 37762])).
% 14.80/10.57 tff(37765,plain,
% 14.80/10.57 (until2p7(s380) | (~xuntil2p8(s379))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37764, 26678, 37571])).
% 14.80/10.57 tff(37766,plain,
% 14.80/10.57 (~xuntil2p8(s379)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37765, 37761])).
% 14.80/10.57 tff(37767,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s379) | xuntil2p8(s379) | (~until2p7(s379)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s379) | xuntil2p8(s379) | (~until2p7(s379)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37768,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s379) | xuntil2p8(s379) | (~until2p7(s379)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37769,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s379) | xuntil2p8(s379) | (~until2p7(s379))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37768, 37767])).
% 14.80/10.57 tff(37770,plain,
% 14.80/10.57 (xuntil2p8(s379) | (~until2p7(s379))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37769, 37556, 37441])).
% 14.80/10.57 tff(37771,plain,
% 14.80/10.57 (~until2p7(s379)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37770, 37766])).
% 14.80/10.57 tff(37772,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s378, s379)) | until2p7(s379) | (~xuntil2p8(s378)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s378, s379)) | until2p7(s379) | (~xuntil2p8(s378)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37773,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s378, s379)) | until2p7(s379) | (~xuntil2p8(s378)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37774,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s378, s379)) | until2p7(s379) | (~xuntil2p8(s378))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37773, 37772])).
% 14.80/10.57 tff(37775,plain,
% 14.80/10.57 (until2p7(s379) | (~xuntil2p8(s378))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37774, 26707, 37571])).
% 14.80/10.57 tff(37776,plain,
% 14.80/10.57 (~xuntil2p8(s378)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37775, 37771])).
% 14.80/10.57 tff(37777,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s378) | xuntil2p8(s378) | (~until2p7(s378)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s378) | xuntil2p8(s378) | (~until2p7(s378)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37778,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s378) | xuntil2p8(s378) | (~until2p7(s378)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37779,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s378) | xuntil2p8(s378) | (~until2p7(s378))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37778, 37777])).
% 14.80/10.57 tff(37780,plain,
% 14.80/10.57 (xuntil2p8(s378) | (~until2p7(s378))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37779, 37556, 37437])).
% 14.80/10.57 tff(37781,plain,
% 14.80/10.57 (~until2p7(s378)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37780, 37776])).
% 14.80/10.57 tff(37782,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s377, s378)) | until2p7(s378) | (~xuntil2p8(s377)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s377, s378)) | until2p7(s378) | (~xuntil2p8(s377)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37783,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s377, s378)) | until2p7(s378) | (~xuntil2p8(s377)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37784,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s377, s378)) | until2p7(s378) | (~xuntil2p8(s377))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37783, 37782])).
% 14.80/10.57 tff(37785,plain,
% 14.80/10.57 (until2p7(s378) | (~xuntil2p8(s377))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37784, 26736, 37571])).
% 14.80/10.57 tff(37786,plain,
% 14.80/10.57 (~xuntil2p8(s377)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37785, 37781])).
% 14.80/10.57 tff(37787,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s377) | xuntil2p8(s377) | (~until2p7(s377)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s377) | xuntil2p8(s377) | (~until2p7(s377)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37788,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s377) | xuntil2p8(s377) | (~until2p7(s377)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37789,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s377) | xuntil2p8(s377) | (~until2p7(s377))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37788, 37787])).
% 14.80/10.57 tff(37790,plain,
% 14.80/10.57 (xuntil2p8(s377) | (~until2p7(s377))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37789, 37556, 37433])).
% 14.80/10.57 tff(37791,plain,
% 14.80/10.57 (~until2p7(s377)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37790, 37786])).
% 14.80/10.57 tff(37792,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s376, s377)) | until2p7(s377) | (~xuntil2p8(s376)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s376, s377)) | until2p7(s377) | (~xuntil2p8(s376)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37793,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s376, s377)) | until2p7(s377) | (~xuntil2p8(s376)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37794,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s376, s377)) | until2p7(s377) | (~xuntil2p8(s376))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37793, 37792])).
% 14.80/10.57 tff(37795,plain,
% 14.80/10.57 (until2p7(s377) | (~xuntil2p8(s376))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37794, 26765, 37571])).
% 14.80/10.57 tff(37796,plain,
% 14.80/10.57 (~xuntil2p8(s376)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37795, 37791])).
% 14.80/10.57 tff(37797,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s376) | xuntil2p8(s376) | (~until2p7(s376)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s376) | xuntil2p8(s376) | (~until2p7(s376)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37798,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s376) | xuntil2p8(s376) | (~until2p7(s376)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37799,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s376) | xuntil2p8(s376) | (~until2p7(s376))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37798, 37797])).
% 14.80/10.57 tff(37800,plain,
% 14.80/10.57 (xuntil2p8(s376) | (~until2p7(s376))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37799, 37556, 37429])).
% 14.80/10.57 tff(37801,plain,
% 14.80/10.57 (~until2p7(s376)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37800, 37796])).
% 14.80/10.57 tff(37802,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s375, s376)) | until2p7(s376) | (~xuntil2p8(s375)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s375, s376)) | until2p7(s376) | (~xuntil2p8(s375)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37803,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s375, s376)) | until2p7(s376) | (~xuntil2p8(s375)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37804,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s375, s376)) | until2p7(s376) | (~xuntil2p8(s375))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37803, 37802])).
% 14.80/10.57 tff(37805,plain,
% 14.80/10.57 (until2p7(s376) | (~xuntil2p8(s375))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37804, 26794, 37571])).
% 14.80/10.57 tff(37806,plain,
% 14.80/10.57 (~xuntil2p8(s375)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37805, 37801])).
% 14.80/10.57 tff(37807,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s375) | xuntil2p8(s375) | (~until2p7(s375)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s375) | xuntil2p8(s375) | (~until2p7(s375)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37808,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s375) | xuntil2p8(s375) | (~until2p7(s375)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37809,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s375) | xuntil2p8(s375) | (~until2p7(s375))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37808, 37807])).
% 14.80/10.57 tff(37810,plain,
% 14.80/10.57 (xuntil2p8(s375) | (~until2p7(s375))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37809, 37556, 37425])).
% 14.80/10.57 tff(37811,plain,
% 14.80/10.57 (~until2p7(s375)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37810, 37806])).
% 14.80/10.57 tff(37812,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s374, s375)) | until2p7(s375) | (~xuntil2p8(s374)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s374, s375)) | until2p7(s375) | (~xuntil2p8(s374)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37813,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s374, s375)) | until2p7(s375) | (~xuntil2p8(s374)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37814,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s374, s375)) | until2p7(s375) | (~xuntil2p8(s374))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37813, 37812])).
% 14.80/10.57 tff(37815,plain,
% 14.80/10.57 (until2p7(s375) | (~xuntil2p8(s374))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37814, 26823, 37571])).
% 14.80/10.57 tff(37816,plain,
% 14.80/10.57 (~xuntil2p8(s374)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37815, 37811])).
% 14.80/10.57 tff(37817,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s374) | xuntil2p8(s374) | (~until2p7(s374)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s374) | xuntil2p8(s374) | (~until2p7(s374)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37818,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s374) | xuntil2p8(s374) | (~until2p7(s374)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37819,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s374) | xuntil2p8(s374) | (~until2p7(s374))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37818, 37817])).
% 14.80/10.57 tff(37820,plain,
% 14.80/10.57 (xuntil2p8(s374) | (~until2p7(s374))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37819, 37556, 37421])).
% 14.80/10.57 tff(37821,plain,
% 14.80/10.57 (~until2p7(s374)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37820, 37816])).
% 14.80/10.57 tff(37822,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s373, s374)) | until2p7(s374) | (~xuntil2p8(s373)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s373, s374)) | until2p7(s374) | (~xuntil2p8(s373)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37823,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s373, s374)) | until2p7(s374) | (~xuntil2p8(s373)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37824,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s373, s374)) | until2p7(s374) | (~xuntil2p8(s373))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37823, 37822])).
% 14.80/10.57 tff(37825,plain,
% 14.80/10.57 (until2p7(s374) | (~xuntil2p8(s373))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37824, 26852, 37571])).
% 14.80/10.57 tff(37826,plain,
% 14.80/10.57 (~xuntil2p8(s373)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37825, 37821])).
% 14.80/10.57 tff(37827,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s373) | xuntil2p8(s373) | (~until2p7(s373)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s373) | xuntil2p8(s373) | (~until2p7(s373)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37828,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s373) | xuntil2p8(s373) | (~until2p7(s373)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37829,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s373) | xuntil2p8(s373) | (~until2p7(s373))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37828, 37827])).
% 14.80/10.57 tff(37830,plain,
% 14.80/10.57 (xuntil2p8(s373) | (~until2p7(s373))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37829, 37556, 37417])).
% 14.80/10.57 tff(37831,plain,
% 14.80/10.57 (~until2p7(s373)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37830, 37826])).
% 14.80/10.57 tff(37832,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s372, s373)) | until2p7(s373) | (~xuntil2p8(s372)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s372, s373)) | until2p7(s373) | (~xuntil2p8(s372)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37833,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s372, s373)) | until2p7(s373) | (~xuntil2p8(s372)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37834,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s372, s373)) | until2p7(s373) | (~xuntil2p8(s372))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37833, 37832])).
% 14.80/10.57 tff(37835,plain,
% 14.80/10.57 (until2p7(s373) | (~xuntil2p8(s372))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37834, 26881, 37571])).
% 14.80/10.57 tff(37836,plain,
% 14.80/10.57 (~xuntil2p8(s372)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37835, 37831])).
% 14.80/10.57 tff(37837,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s372) | xuntil2p8(s372) | (~until2p7(s372)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s372) | xuntil2p8(s372) | (~until2p7(s372)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37838,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s372) | xuntil2p8(s372) | (~until2p7(s372)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37839,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s372) | xuntil2p8(s372) | (~until2p7(s372))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37838, 37837])).
% 14.80/10.57 tff(37840,plain,
% 14.80/10.57 (xuntil2p8(s372) | (~until2p7(s372))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37839, 37556, 37413])).
% 14.80/10.57 tff(37841,plain,
% 14.80/10.57 (~until2p7(s372)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37840, 37836])).
% 14.80/10.57 tff(37842,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s371, s372)) | until2p7(s372) | (~xuntil2p8(s371)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s371, s372)) | until2p7(s372) | (~xuntil2p8(s371)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37843,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s371, s372)) | until2p7(s372) | (~xuntil2p8(s371)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37844,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s371, s372)) | until2p7(s372) | (~xuntil2p8(s371))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37843, 37842])).
% 14.80/10.57 tff(37845,plain,
% 14.80/10.57 (until2p7(s372) | (~xuntil2p8(s371))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37844, 26910, 37571])).
% 14.80/10.57 tff(37846,plain,
% 14.80/10.57 (~xuntil2p8(s371)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37845, 37841])).
% 14.80/10.57 tff(37847,plain,
% 14.80/10.57 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s371) | xuntil2p8(s371) | (~until2p7(s371)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s371) | xuntil2p8(s371) | (~until2p7(s371)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37848,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s371) | xuntil2p8(s371) | (~until2p7(s371)))),
% 14.80/10.57 inference(quant_inst,[status(thm)],[])).
% 14.80/10.57 tff(37849,plain,
% 14.80/10.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s371) | xuntil2p8(s371) | (~until2p7(s371))),
% 14.80/10.57 inference(modus_ponens,[status(thm)],[37848, 37847])).
% 14.80/10.57 tff(37850,plain,
% 14.80/10.57 (xuntil2p8(s371) | (~until2p7(s371))),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37849, 37556, 37409])).
% 14.80/10.57 tff(37851,plain,
% 14.80/10.57 (~until2p7(s371)),
% 14.80/10.57 inference(unit_resolution,[status(thm)],[37850, 37846])).
% 14.80/10.57 tff(37852,plain,
% 14.80/10.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s370, s371)) | until2p7(s371) | (~xuntil2p8(s370)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s370, s371)) | until2p7(s371) | (~xuntil2p8(s370)))),
% 14.80/10.57 inference(rewrite,[status(thm)],[])).
% 14.80/10.57 tff(37853,plain,
% 14.80/10.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s370, s371)) | until2p7(s371) | (~xuntil2p8(s370)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37854,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s370, s371)) | until2p7(s371) | (~xuntil2p8(s370))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37853, 37852])).
% 14.80/10.58 tff(37855,plain,
% 14.80/10.58 (until2p7(s371) | (~xuntil2p8(s370))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37854, 26939, 37571])).
% 14.80/10.58 tff(37856,plain,
% 14.80/10.58 (~xuntil2p8(s370)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37855, 37851])).
% 14.80/10.58 tff(37857,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s370) | xuntil2p8(s370) | (~until2p7(s370)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s370) | xuntil2p8(s370) | (~until2p7(s370)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37858,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s370) | xuntil2p8(s370) | (~until2p7(s370)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37859,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s370) | xuntil2p8(s370) | (~until2p7(s370))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37858, 37857])).
% 14.80/10.58 tff(37860,plain,
% 14.80/10.58 (xuntil2p8(s370) | (~until2p7(s370))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37859, 37556, 37405])).
% 14.80/10.58 tff(37861,plain,
% 14.80/10.58 (~until2p7(s370)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37860, 37856])).
% 14.80/10.58 tff(37862,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s369, s370)) | until2p7(s370) | (~xuntil2p8(s369)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s369, s370)) | until2p7(s370) | (~xuntil2p8(s369)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37863,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s369, s370)) | until2p7(s370) | (~xuntil2p8(s369)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37864,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s369, s370)) | until2p7(s370) | (~xuntil2p8(s369))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37863, 37862])).
% 14.80/10.58 tff(37865,plain,
% 14.80/10.58 (until2p7(s370) | (~xuntil2p8(s369))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37864, 26968, 37571])).
% 14.80/10.58 tff(37866,plain,
% 14.80/10.58 (~xuntil2p8(s369)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37865, 37861])).
% 14.80/10.58 tff(37867,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s369) | xuntil2p8(s369) | (~until2p7(s369)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s369) | xuntil2p8(s369) | (~until2p7(s369)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37868,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s369) | xuntil2p8(s369) | (~until2p7(s369)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37869,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s369) | xuntil2p8(s369) | (~until2p7(s369))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37868, 37867])).
% 14.80/10.58 tff(37870,plain,
% 14.80/10.58 (xuntil2p8(s369) | (~until2p7(s369))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37869, 37556, 37401])).
% 14.80/10.58 tff(37871,plain,
% 14.80/10.58 (~until2p7(s369)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37870, 37866])).
% 14.80/10.58 tff(37872,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s368, s369)) | until2p7(s369) | (~xuntil2p8(s368)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s368, s369)) | until2p7(s369) | (~xuntil2p8(s368)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37873,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s368, s369)) | until2p7(s369) | (~xuntil2p8(s368)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37874,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s368, s369)) | until2p7(s369) | (~xuntil2p8(s368))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37873, 37872])).
% 14.80/10.58 tff(37875,plain,
% 14.80/10.58 (until2p7(s369) | (~xuntil2p8(s368))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37874, 26997, 37571])).
% 14.80/10.58 tff(37876,plain,
% 14.80/10.58 (~xuntil2p8(s368)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37875, 37871])).
% 14.80/10.58 tff(37877,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s368) | xuntil2p8(s368) | (~until2p7(s368)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s368) | xuntil2p8(s368) | (~until2p7(s368)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37878,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s368) | xuntil2p8(s368) | (~until2p7(s368)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37879,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s368) | xuntil2p8(s368) | (~until2p7(s368))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37878, 37877])).
% 14.80/10.58 tff(37880,plain,
% 14.80/10.58 (xuntil2p8(s368) | (~until2p7(s368))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37879, 37556, 37397])).
% 14.80/10.58 tff(37881,plain,
% 14.80/10.58 (~until2p7(s368)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37880, 37876])).
% 14.80/10.58 tff(37882,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s367, s368)) | until2p7(s368) | (~xuntil2p8(s367)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s367, s368)) | until2p7(s368) | (~xuntil2p8(s367)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37883,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s367, s368)) | until2p7(s368) | (~xuntil2p8(s367)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37884,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s367, s368)) | until2p7(s368) | (~xuntil2p8(s367))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37883, 37882])).
% 14.80/10.58 tff(37885,plain,
% 14.80/10.58 (until2p7(s368) | (~xuntil2p8(s367))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37884, 27026, 37571])).
% 14.80/10.58 tff(37886,plain,
% 14.80/10.58 (~xuntil2p8(s367)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37885, 37881])).
% 14.80/10.58 tff(37887,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s367) | xuntil2p8(s367) | (~until2p7(s367)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s367) | xuntil2p8(s367) | (~until2p7(s367)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37888,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s367) | xuntil2p8(s367) | (~until2p7(s367)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37889,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s367) | xuntil2p8(s367) | (~until2p7(s367))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37888, 37887])).
% 14.80/10.58 tff(37890,plain,
% 14.80/10.58 (xuntil2p8(s367) | (~until2p7(s367))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37889, 37556, 37393])).
% 14.80/10.58 tff(37891,plain,
% 14.80/10.58 (~until2p7(s367)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37890, 37886])).
% 14.80/10.58 tff(37892,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s366, s367)) | until2p7(s367) | (~xuntil2p8(s366)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s366, s367)) | until2p7(s367) | (~xuntil2p8(s366)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37893,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s366, s367)) | until2p7(s367) | (~xuntil2p8(s366)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37894,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s366, s367)) | until2p7(s367) | (~xuntil2p8(s366))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37893, 37892])).
% 14.80/10.58 tff(37895,plain,
% 14.80/10.58 (until2p7(s367) | (~xuntil2p8(s366))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37894, 27055, 37571])).
% 14.80/10.58 tff(37896,plain,
% 14.80/10.58 (~xuntil2p8(s366)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37895, 37891])).
% 14.80/10.58 tff(37897,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s366) | xuntil2p8(s366) | (~until2p7(s366)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s366) | xuntil2p8(s366) | (~until2p7(s366)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37898,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s366) | xuntil2p8(s366) | (~until2p7(s366)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37899,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s366) | xuntil2p8(s366) | (~until2p7(s366))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37898, 37897])).
% 14.80/10.58 tff(37900,plain,
% 14.80/10.58 (xuntil2p8(s366) | (~until2p7(s366))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37899, 37556, 37389])).
% 14.80/10.58 tff(37901,plain,
% 14.80/10.58 (~until2p7(s366)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37900, 37896])).
% 14.80/10.58 tff(37902,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s365, s366)) | until2p7(s366) | (~xuntil2p8(s365)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s365, s366)) | until2p7(s366) | (~xuntil2p8(s365)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37903,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s365, s366)) | until2p7(s366) | (~xuntil2p8(s365)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37904,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s365, s366)) | until2p7(s366) | (~xuntil2p8(s365))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37903, 37902])).
% 14.80/10.58 tff(37905,plain,
% 14.80/10.58 (until2p7(s366) | (~xuntil2p8(s365))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37904, 27084, 37571])).
% 14.80/10.58 tff(37906,plain,
% 14.80/10.58 (~xuntil2p8(s365)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37905, 37901])).
% 14.80/10.58 tff(37907,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s365) | xuntil2p8(s365) | (~until2p7(s365)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s365) | xuntil2p8(s365) | (~until2p7(s365)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37908,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s365) | xuntil2p8(s365) | (~until2p7(s365)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37909,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s365) | xuntil2p8(s365) | (~until2p7(s365))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37908, 37907])).
% 14.80/10.58 tff(37910,plain,
% 14.80/10.58 (xuntil2p8(s365) | (~until2p7(s365))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37909, 37556, 37385])).
% 14.80/10.58 tff(37911,plain,
% 14.80/10.58 (~until2p7(s365)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37910, 37906])).
% 14.80/10.58 tff(37912,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s364, s365)) | until2p7(s365) | (~xuntil2p8(s364)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s364, s365)) | until2p7(s365) | (~xuntil2p8(s364)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37913,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s364, s365)) | until2p7(s365) | (~xuntil2p8(s364)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37914,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s364, s365)) | until2p7(s365) | (~xuntil2p8(s364))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37913, 37912])).
% 14.80/10.58 tff(37915,plain,
% 14.80/10.58 (until2p7(s365) | (~xuntil2p8(s364))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37914, 27113, 37571])).
% 14.80/10.58 tff(37916,plain,
% 14.80/10.58 (~xuntil2p8(s364)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37915, 37911])).
% 14.80/10.58 tff(37917,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s364) | xuntil2p8(s364) | (~until2p7(s364)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s364) | xuntil2p8(s364) | (~until2p7(s364)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37918,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s364) | xuntil2p8(s364) | (~until2p7(s364)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37919,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s364) | xuntil2p8(s364) | (~until2p7(s364))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37918, 37917])).
% 14.80/10.58 tff(37920,plain,
% 14.80/10.58 (xuntil2p8(s364) | (~until2p7(s364))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37919, 37556, 37381])).
% 14.80/10.58 tff(37921,plain,
% 14.80/10.58 (~until2p7(s364)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37920, 37916])).
% 14.80/10.58 tff(37922,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s363, s364)) | until2p7(s364) | (~xuntil2p8(s363)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s363, s364)) | until2p7(s364) | (~xuntil2p8(s363)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37923,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s363, s364)) | until2p7(s364) | (~xuntil2p8(s363)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37924,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s363, s364)) | until2p7(s364) | (~xuntil2p8(s363))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37923, 37922])).
% 14.80/10.58 tff(37925,plain,
% 14.80/10.58 (until2p7(s364) | (~xuntil2p8(s363))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37924, 27142, 37571])).
% 14.80/10.58 tff(37926,plain,
% 14.80/10.58 (~xuntil2p8(s363)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37925, 37921])).
% 14.80/10.58 tff(37927,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s363) | xuntil2p8(s363) | (~until2p7(s363)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s363) | xuntil2p8(s363) | (~until2p7(s363)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37928,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s363) | xuntil2p8(s363) | (~until2p7(s363)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37929,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s363) | xuntil2p8(s363) | (~until2p7(s363))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37928, 37927])).
% 14.80/10.58 tff(37930,plain,
% 14.80/10.58 (xuntil2p8(s363) | (~until2p7(s363))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37929, 37556, 37377])).
% 14.80/10.58 tff(37931,plain,
% 14.80/10.58 (~until2p7(s363)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37930, 37926])).
% 14.80/10.58 tff(37932,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s362, s363)) | until2p7(s363) | (~xuntil2p8(s362)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s362, s363)) | until2p7(s363) | (~xuntil2p8(s362)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37933,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s362, s363)) | until2p7(s363) | (~xuntil2p8(s362)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37934,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s362, s363)) | until2p7(s363) | (~xuntil2p8(s362))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37933, 37932])).
% 14.80/10.58 tff(37935,plain,
% 14.80/10.58 (until2p7(s363) | (~xuntil2p8(s362))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37934, 27171, 37571])).
% 14.80/10.58 tff(37936,plain,
% 14.80/10.58 (~xuntil2p8(s362)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37935, 37931])).
% 14.80/10.58 tff(37937,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s362) | xuntil2p8(s362) | (~until2p7(s362)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s362) | xuntil2p8(s362) | (~until2p7(s362)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37938,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s362) | xuntil2p8(s362) | (~until2p7(s362)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37939,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s362) | xuntil2p8(s362) | (~until2p7(s362))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37938, 37937])).
% 14.80/10.58 tff(37940,plain,
% 14.80/10.58 (xuntil2p8(s362) | (~until2p7(s362))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37939, 37556, 37373])).
% 14.80/10.58 tff(37941,plain,
% 14.80/10.58 (~until2p7(s362)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37940, 37936])).
% 14.80/10.58 tff(37942,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s361, s362)) | until2p7(s362) | (~xuntil2p8(s361)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s361, s362)) | until2p7(s362) | (~xuntil2p8(s361)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37943,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s361, s362)) | until2p7(s362) | (~xuntil2p8(s361)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37944,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s361, s362)) | until2p7(s362) | (~xuntil2p8(s361))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37943, 37942])).
% 14.80/10.58 tff(37945,plain,
% 14.80/10.58 (until2p7(s362) | (~xuntil2p8(s361))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37944, 27200, 37571])).
% 14.80/10.58 tff(37946,plain,
% 14.80/10.58 (~xuntil2p8(s361)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37945, 37941])).
% 14.80/10.58 tff(37947,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s361) | xuntil2p8(s361) | (~until2p7(s361)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s361) | xuntil2p8(s361) | (~until2p7(s361)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37948,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s361) | xuntil2p8(s361) | (~until2p7(s361)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37949,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s361) | xuntil2p8(s361) | (~until2p7(s361))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37948, 37947])).
% 14.80/10.58 tff(37950,plain,
% 14.80/10.58 (xuntil2p8(s361) | (~until2p7(s361))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37949, 37556, 37369])).
% 14.80/10.58 tff(37951,plain,
% 14.80/10.58 (~until2p7(s361)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37950, 37946])).
% 14.80/10.58 tff(37952,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s360, s361)) | until2p7(s361) | (~xuntil2p8(s360)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s360, s361)) | until2p7(s361) | (~xuntil2p8(s360)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37953,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s360, s361)) | until2p7(s361) | (~xuntil2p8(s360)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37954,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s360, s361)) | until2p7(s361) | (~xuntil2p8(s360))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37953, 37952])).
% 14.80/10.58 tff(37955,plain,
% 14.80/10.58 (until2p7(s361) | (~xuntil2p8(s360))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37954, 27229, 37571])).
% 14.80/10.58 tff(37956,plain,
% 14.80/10.58 (~xuntil2p8(s360)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37955, 37951])).
% 14.80/10.58 tff(37957,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s360) | xuntil2p8(s360) | (~until2p7(s360)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s360) | xuntil2p8(s360) | (~until2p7(s360)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37958,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s360) | xuntil2p8(s360) | (~until2p7(s360)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37959,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s360) | xuntil2p8(s360) | (~until2p7(s360))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37958, 37957])).
% 14.80/10.58 tff(37960,plain,
% 14.80/10.58 (xuntil2p8(s360) | (~until2p7(s360))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37959, 37556, 37365])).
% 14.80/10.58 tff(37961,plain,
% 14.80/10.58 (~until2p7(s360)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37960, 37956])).
% 14.80/10.58 tff(37962,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s359, s360)) | until2p7(s360) | (~xuntil2p8(s359)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s359, s360)) | until2p7(s360) | (~xuntil2p8(s359)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37963,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s359, s360)) | until2p7(s360) | (~xuntil2p8(s359)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37964,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s359, s360)) | until2p7(s360) | (~xuntil2p8(s359))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37963, 37962])).
% 14.80/10.58 tff(37965,plain,
% 14.80/10.58 (until2p7(s360) | (~xuntil2p8(s359))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37964, 27258, 37571])).
% 14.80/10.58 tff(37966,plain,
% 14.80/10.58 (~xuntil2p8(s359)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37965, 37961])).
% 14.80/10.58 tff(37967,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s359) | xuntil2p8(s359) | (~until2p7(s359)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s359) | xuntil2p8(s359) | (~until2p7(s359)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37968,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s359) | xuntil2p8(s359) | (~until2p7(s359)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37969,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s359) | xuntil2p8(s359) | (~until2p7(s359))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37968, 37967])).
% 14.80/10.58 tff(37970,plain,
% 14.80/10.58 (xuntil2p8(s359) | (~until2p7(s359))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37969, 37556, 37361])).
% 14.80/10.58 tff(37971,plain,
% 14.80/10.58 (~until2p7(s359)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37970, 37966])).
% 14.80/10.58 tff(37972,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s358, s359)) | until2p7(s359) | (~xuntil2p8(s358)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s358, s359)) | until2p7(s359) | (~xuntil2p8(s358)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37973,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s358, s359)) | until2p7(s359) | (~xuntil2p8(s358)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37974,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s358, s359)) | until2p7(s359) | (~xuntil2p8(s358))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37973, 37972])).
% 14.80/10.58 tff(37975,plain,
% 14.80/10.58 (until2p7(s359) | (~xuntil2p8(s358))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37974, 27287, 37571])).
% 14.80/10.58 tff(37976,plain,
% 14.80/10.58 (~xuntil2p8(s358)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37975, 37971])).
% 14.80/10.58 tff(37977,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s358) | xuntil2p8(s358) | (~until2p7(s358)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s358) | xuntil2p8(s358) | (~until2p7(s358)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37978,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s358) | xuntil2p8(s358) | (~until2p7(s358)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37979,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s358) | xuntil2p8(s358) | (~until2p7(s358))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37978, 37977])).
% 14.80/10.58 tff(37980,plain,
% 14.80/10.58 (xuntil2p8(s358) | (~until2p7(s358))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37979, 37556, 37357])).
% 14.80/10.58 tff(37981,plain,
% 14.80/10.58 (~until2p7(s358)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37980, 37976])).
% 14.80/10.58 tff(37982,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s357, s358)) | until2p7(s358) | (~xuntil2p8(s357)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s357, s358)) | until2p7(s358) | (~xuntil2p8(s357)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37983,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s357, s358)) | until2p7(s358) | (~xuntil2p8(s357)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37984,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s357, s358)) | until2p7(s358) | (~xuntil2p8(s357))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37983, 37982])).
% 14.80/10.58 tff(37985,plain,
% 14.80/10.58 (until2p7(s358) | (~xuntil2p8(s357))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37984, 27316, 37571])).
% 14.80/10.58 tff(37986,plain,
% 14.80/10.58 (~xuntil2p8(s357)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37985, 37981])).
% 14.80/10.58 tff(37987,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s357) | xuntil2p8(s357) | (~until2p7(s357)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s357) | xuntil2p8(s357) | (~until2p7(s357)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37988,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s357) | xuntil2p8(s357) | (~until2p7(s357)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37989,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s357) | xuntil2p8(s357) | (~until2p7(s357))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37988, 37987])).
% 14.80/10.58 tff(37990,plain,
% 14.80/10.58 (xuntil2p8(s357) | (~until2p7(s357))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37989, 37556, 37353])).
% 14.80/10.58 tff(37991,plain,
% 14.80/10.58 (~until2p7(s357)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37990, 37986])).
% 14.80/10.58 tff(37992,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s356, s357)) | until2p7(s357) | (~xuntil2p8(s356)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s356, s357)) | until2p7(s357) | (~xuntil2p8(s356)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37993,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s356, s357)) | until2p7(s357) | (~xuntil2p8(s356)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37994,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s356, s357)) | until2p7(s357) | (~xuntil2p8(s356))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37993, 37992])).
% 14.80/10.58 tff(37995,plain,
% 14.80/10.58 (until2p7(s357) | (~xuntil2p8(s356))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37994, 27345, 37571])).
% 14.80/10.58 tff(37996,plain,
% 14.80/10.58 (~xuntil2p8(s356)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37995, 37991])).
% 14.80/10.58 tff(37997,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s356) | xuntil2p8(s356) | (~until2p7(s356)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s356) | xuntil2p8(s356) | (~until2p7(s356)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(37998,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s356) | xuntil2p8(s356) | (~until2p7(s356)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(37999,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s356) | xuntil2p8(s356) | (~until2p7(s356))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[37998, 37997])).
% 14.80/10.58 tff(38000,plain,
% 14.80/10.58 (xuntil2p8(s356) | (~until2p7(s356))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[37999, 37556, 37349])).
% 14.80/10.58 tff(38001,plain,
% 14.80/10.58 (~until2p7(s356)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38000, 37996])).
% 14.80/10.58 tff(38002,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s355, s356)) | until2p7(s356) | (~xuntil2p8(s355)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s355, s356)) | until2p7(s356) | (~xuntil2p8(s355)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38003,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s355, s356)) | until2p7(s356) | (~xuntil2p8(s355)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38004,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s355, s356)) | until2p7(s356) | (~xuntil2p8(s355))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38003, 38002])).
% 14.80/10.58 tff(38005,plain,
% 14.80/10.58 (until2p7(s356) | (~xuntil2p8(s355))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38004, 27374, 37571])).
% 14.80/10.58 tff(38006,plain,
% 14.80/10.58 (~xuntil2p8(s355)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38005, 38001])).
% 14.80/10.58 tff(38007,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s355) | xuntil2p8(s355) | (~until2p7(s355)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s355) | xuntil2p8(s355) | (~until2p7(s355)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38008,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s355) | xuntil2p8(s355) | (~until2p7(s355)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38009,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s355) | xuntil2p8(s355) | (~until2p7(s355))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38008, 38007])).
% 14.80/10.58 tff(38010,plain,
% 14.80/10.58 (xuntil2p8(s355) | (~until2p7(s355))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38009, 37556, 37345])).
% 14.80/10.58 tff(38011,plain,
% 14.80/10.58 (~until2p7(s355)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38010, 38006])).
% 14.80/10.58 tff(38012,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s354, s355)) | until2p7(s355) | (~xuntil2p8(s354)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s354, s355)) | until2p7(s355) | (~xuntil2p8(s354)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38013,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s354, s355)) | until2p7(s355) | (~xuntil2p8(s354)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38014,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s354, s355)) | until2p7(s355) | (~xuntil2p8(s354))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38013, 38012])).
% 14.80/10.58 tff(38015,plain,
% 14.80/10.58 (until2p7(s355) | (~xuntil2p8(s354))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38014, 27403, 37571])).
% 14.80/10.58 tff(38016,plain,
% 14.80/10.58 (~xuntil2p8(s354)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38015, 38011])).
% 14.80/10.58 tff(38017,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s354) | xuntil2p8(s354) | (~until2p7(s354)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s354) | xuntil2p8(s354) | (~until2p7(s354)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38018,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s354) | xuntil2p8(s354) | (~until2p7(s354)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38019,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s354) | xuntil2p8(s354) | (~until2p7(s354))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38018, 38017])).
% 14.80/10.58 tff(38020,plain,
% 14.80/10.58 (xuntil2p8(s354) | (~until2p7(s354))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38019, 37556, 37341])).
% 14.80/10.58 tff(38021,plain,
% 14.80/10.58 (~until2p7(s354)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38020, 38016])).
% 14.80/10.58 tff(38022,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s353, s354)) | until2p7(s354) | (~xuntil2p8(s353)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s353, s354)) | until2p7(s354) | (~xuntil2p8(s353)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38023,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s353, s354)) | until2p7(s354) | (~xuntil2p8(s353)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38024,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s353, s354)) | until2p7(s354) | (~xuntil2p8(s353))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38023, 38022])).
% 14.80/10.58 tff(38025,plain,
% 14.80/10.58 (until2p7(s354) | (~xuntil2p8(s353))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38024, 27432, 37571])).
% 14.80/10.58 tff(38026,plain,
% 14.80/10.58 (~xuntil2p8(s353)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38025, 38021])).
% 14.80/10.58 tff(38027,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s353) | xuntil2p8(s353) | (~until2p7(s353)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s353) | xuntil2p8(s353) | (~until2p7(s353)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38028,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s353) | xuntil2p8(s353) | (~until2p7(s353)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38029,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s353) | xuntil2p8(s353) | (~until2p7(s353))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38028, 38027])).
% 14.80/10.58 tff(38030,plain,
% 14.80/10.58 (xuntil2p8(s353) | (~until2p7(s353))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38029, 37556, 37337])).
% 14.80/10.58 tff(38031,plain,
% 14.80/10.58 (~until2p7(s353)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38030, 38026])).
% 14.80/10.58 tff(38032,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s352, s353)) | until2p7(s353) | (~xuntil2p8(s352)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s352, s353)) | until2p7(s353) | (~xuntil2p8(s352)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38033,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s352, s353)) | until2p7(s353) | (~xuntil2p8(s352)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38034,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s352, s353)) | until2p7(s353) | (~xuntil2p8(s352))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38033, 38032])).
% 14.80/10.58 tff(38035,plain,
% 14.80/10.58 (until2p7(s353) | (~xuntil2p8(s352))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38034, 27461, 37571])).
% 14.80/10.58 tff(38036,plain,
% 14.80/10.58 (~xuntil2p8(s352)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38035, 38031])).
% 14.80/10.58 tff(38037,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s352) | xuntil2p8(s352) | (~until2p7(s352)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s352) | xuntil2p8(s352) | (~until2p7(s352)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38038,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s352) | xuntil2p8(s352) | (~until2p7(s352)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38039,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s352) | xuntil2p8(s352) | (~until2p7(s352))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38038, 38037])).
% 14.80/10.58 tff(38040,plain,
% 14.80/10.58 (xuntil2p8(s352) | (~until2p7(s352))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38039, 37556, 37333])).
% 14.80/10.58 tff(38041,plain,
% 14.80/10.58 (~until2p7(s352)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38040, 38036])).
% 14.80/10.58 tff(38042,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s351, s352)) | until2p7(s352) | (~xuntil2p8(s351)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s351, s352)) | until2p7(s352) | (~xuntil2p8(s351)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38043,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s351, s352)) | until2p7(s352) | (~xuntil2p8(s351)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38044,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s351, s352)) | until2p7(s352) | (~xuntil2p8(s351))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38043, 38042])).
% 14.80/10.58 tff(38045,plain,
% 14.80/10.58 (until2p7(s352) | (~xuntil2p8(s351))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38044, 27478, 37571])).
% 14.80/10.58 tff(38046,plain,
% 14.80/10.58 (~xuntil2p8(s351)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38045, 38041])).
% 14.80/10.58 tff(38047,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s351) | xuntil2p8(s351) | (~until2p7(s351)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s351) | xuntil2p8(s351) | (~until2p7(s351)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38048,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s351) | xuntil2p8(s351) | (~until2p7(s351)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38049,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s351) | xuntil2p8(s351) | (~until2p7(s351))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38048, 38047])).
% 14.80/10.58 tff(38050,plain,
% 14.80/10.58 (xuntil2p8(s351) | (~until2p7(s351))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38049, 37556, 37329])).
% 14.80/10.58 tff(38051,plain,
% 14.80/10.58 (~until2p7(s351)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38050, 38046])).
% 14.80/10.58 tff(38052,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s350, s351)) | until2p7(s351) | (~xuntil2p8(s350)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s350, s351)) | until2p7(s351) | (~xuntil2p8(s350)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38053,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s350, s351)) | until2p7(s351) | (~xuntil2p8(s350)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38054,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s350, s351)) | until2p7(s351) | (~xuntil2p8(s350))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38053, 38052])).
% 14.80/10.58 tff(38055,plain,
% 14.80/10.58 (until2p7(s351) | (~xuntil2p8(s350))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38054, 27490, 37571])).
% 14.80/10.58 tff(38056,plain,
% 14.80/10.58 (~xuntil2p8(s350)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38055, 38051])).
% 14.80/10.58 tff(38057,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s350) | xuntil2p8(s350) | (~until2p7(s350)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s350) | xuntil2p8(s350) | (~until2p7(s350)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38058,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s350) | xuntil2p8(s350) | (~until2p7(s350)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38059,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s350) | xuntil2p8(s350) | (~until2p7(s350))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38058, 38057])).
% 14.80/10.58 tff(38060,plain,
% 14.80/10.58 (xuntil2p8(s350) | (~until2p7(s350))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38059, 37556, 37325])).
% 14.80/10.58 tff(38061,plain,
% 14.80/10.58 (~until2p7(s350)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38060, 38056])).
% 14.80/10.58 tff(38062,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s349, s350)) | until2p7(s350) | (~xuntil2p8(s349)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s349, s350)) | until2p7(s350) | (~xuntil2p8(s349)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38063,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s349, s350)) | until2p7(s350) | (~xuntil2p8(s349)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38064,plain,
% 14.80/10.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s349, s350)) | until2p7(s350) | (~xuntil2p8(s349))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38063, 38062])).
% 14.80/10.58 tff(38065,plain,
% 14.80/10.58 (until2p7(s350) | (~xuntil2p8(s349))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38064, 27502, 37571])).
% 14.80/10.58 tff(38066,plain,
% 14.80/10.58 (~xuntil2p8(s349)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38065, 38061])).
% 14.80/10.58 tff(38067,plain,
% 14.80/10.58 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s349) | xuntil2p8(s349) | (~until2p7(s349)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s349) | xuntil2p8(s349) | (~until2p7(s349)))),
% 14.80/10.58 inference(rewrite,[status(thm)],[])).
% 14.80/10.58 tff(38068,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s349) | xuntil2p8(s349) | (~until2p7(s349)))),
% 14.80/10.58 inference(quant_inst,[status(thm)],[])).
% 14.80/10.58 tff(38069,plain,
% 14.80/10.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s349) | xuntil2p8(s349) | (~until2p7(s349))),
% 14.80/10.58 inference(modus_ponens,[status(thm)],[38068, 38067])).
% 14.80/10.58 tff(38070,plain,
% 14.80/10.58 (xuntil2p8(s349) | (~until2p7(s349))),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38069, 37556, 37321])).
% 14.80/10.58 tff(38071,plain,
% 14.80/10.58 (~until2p7(s349)),
% 14.80/10.58 inference(unit_resolution,[status(thm)],[38070, 38066])).
% 14.80/10.58 tff(38072,plain,
% 14.80/10.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38073,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38074,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38073, 38072])).
% 14.80/10.59 tff(38075,plain,
% 14.80/10.59 (until2p7(s349) | (~xuntil2p8(s348))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38074, 27514, 37571])).
% 14.80/10.59 tff(38076,plain,
% 14.80/10.59 (~xuntil2p8(s348)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38075, 38071])).
% 14.80/10.59 tff(38077,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s348) | xuntil2p8(s348) | (~until2p7(s348)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s348) | xuntil2p8(s348) | (~until2p7(s348)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38078,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s348) | xuntil2p8(s348) | (~until2p7(s348)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38079,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s348) | xuntil2p8(s348) | (~until2p7(s348))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38078, 38077])).
% 14.80/10.59 tff(38080,plain,
% 14.80/10.59 (xuntil2p8(s348) | (~until2p7(s348))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38079, 37556, 37317])).
% 14.80/10.59 tff(38081,plain,
% 14.80/10.59 (~until2p7(s348)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38080, 38076])).
% 14.80/10.59 tff(38082,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38083,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38084,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38083, 38082])).
% 14.80/10.59 tff(38085,plain,
% 14.80/10.59 (until2p7(s348) | (~xuntil2p8(s347))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38084, 27526, 37571])).
% 14.80/10.59 tff(38086,plain,
% 14.80/10.59 (~xuntil2p8(s347)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38085, 38081])).
% 14.80/10.59 tff(38087,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s347) | xuntil2p8(s347) | (~until2p7(s347)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s347) | xuntil2p8(s347) | (~until2p7(s347)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38088,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s347) | xuntil2p8(s347) | (~until2p7(s347)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38089,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s347) | xuntil2p8(s347) | (~until2p7(s347))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38088, 38087])).
% 14.80/10.59 tff(38090,plain,
% 14.80/10.59 (xuntil2p8(s347) | (~until2p7(s347))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38089, 37556, 37313])).
% 14.80/10.59 tff(38091,plain,
% 14.80/10.59 (~until2p7(s347)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38090, 38086])).
% 14.80/10.59 tff(38092,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38093,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38094,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38093, 38092])).
% 14.80/10.59 tff(38095,plain,
% 14.80/10.59 (until2p7(s347) | (~xuntil2p8(s346))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38094, 27538, 37571])).
% 14.80/10.59 tff(38096,plain,
% 14.80/10.59 (~xuntil2p8(s346)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38095, 38091])).
% 14.80/10.59 tff(38097,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s346) | xuntil2p8(s346) | (~until2p7(s346)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s346) | xuntil2p8(s346) | (~until2p7(s346)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38098,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s346) | xuntil2p8(s346) | (~until2p7(s346)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38099,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s346) | xuntil2p8(s346) | (~until2p7(s346))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38098, 38097])).
% 14.80/10.59 tff(38100,plain,
% 14.80/10.59 (xuntil2p8(s346) | (~until2p7(s346))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38099, 37556, 37309])).
% 14.80/10.59 tff(38101,plain,
% 14.80/10.59 (~until2p7(s346)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38100, 38096])).
% 14.80/10.59 tff(38102,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38103,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38104,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38103, 38102])).
% 14.80/10.59 tff(38105,plain,
% 14.80/10.59 (until2p7(s346) | (~xuntil2p8(s345))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38104, 27550, 37571])).
% 14.80/10.59 tff(38106,plain,
% 14.80/10.59 (~xuntil2p8(s345)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38105, 38101])).
% 14.80/10.59 tff(38107,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s345) | xuntil2p8(s345) | (~until2p7(s345)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s345) | xuntil2p8(s345) | (~until2p7(s345)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38108,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s345) | xuntil2p8(s345) | (~until2p7(s345)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38109,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s345) | xuntil2p8(s345) | (~until2p7(s345))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38108, 38107])).
% 14.80/10.59 tff(38110,plain,
% 14.80/10.59 (xuntil2p8(s345) | (~until2p7(s345))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38109, 37556, 37305])).
% 14.80/10.59 tff(38111,plain,
% 14.80/10.59 (~until2p7(s345)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38110, 38106])).
% 14.80/10.59 tff(38112,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38113,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38114,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38113, 38112])).
% 14.80/10.59 tff(38115,plain,
% 14.80/10.59 (until2p7(s345) | (~xuntil2p8(s344))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38114, 27562, 37571])).
% 14.80/10.59 tff(38116,plain,
% 14.80/10.59 (~xuntil2p8(s344)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38115, 38111])).
% 14.80/10.59 tff(38117,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s344) | xuntil2p8(s344) | (~until2p7(s344)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s344) | xuntil2p8(s344) | (~until2p7(s344)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38118,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s344) | xuntil2p8(s344) | (~until2p7(s344)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38119,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s344) | xuntil2p8(s344) | (~until2p7(s344))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38118, 38117])).
% 14.80/10.59 tff(38120,plain,
% 14.80/10.59 (xuntil2p8(s344) | (~until2p7(s344))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38119, 37556, 37301])).
% 14.80/10.59 tff(38121,plain,
% 14.80/10.59 (~until2p7(s344)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38120, 38116])).
% 14.80/10.59 tff(38122,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38123,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38124,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38123, 38122])).
% 14.80/10.59 tff(38125,plain,
% 14.80/10.59 (until2p7(s344) | (~xuntil2p8(s343))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38124, 27574, 37571])).
% 14.80/10.59 tff(38126,plain,
% 14.80/10.59 (~xuntil2p8(s343)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38125, 38121])).
% 14.80/10.59 tff(38127,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s343) | xuntil2p8(s343) | (~until2p7(s343)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s343) | xuntil2p8(s343) | (~until2p7(s343)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38128,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s343) | xuntil2p8(s343) | (~until2p7(s343)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38129,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s343) | xuntil2p8(s343) | (~until2p7(s343))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38128, 38127])).
% 14.80/10.59 tff(38130,plain,
% 14.80/10.59 (xuntil2p8(s343) | (~until2p7(s343))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38129, 37556, 37297])).
% 14.80/10.59 tff(38131,plain,
% 14.80/10.59 (~until2p7(s343)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38130, 38126])).
% 14.80/10.59 tff(38132,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38133,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38134,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38133, 38132])).
% 14.80/10.59 tff(38135,plain,
% 14.80/10.59 (until2p7(s343) | (~xuntil2p8(s342))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38134, 27586, 37571])).
% 14.80/10.59 tff(38136,plain,
% 14.80/10.59 (~xuntil2p8(s342)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38135, 38131])).
% 14.80/10.59 tff(38137,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s342) | xuntil2p8(s342) | (~until2p7(s342)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s342) | xuntil2p8(s342) | (~until2p7(s342)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38138,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s342) | xuntil2p8(s342) | (~until2p7(s342)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38139,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s342) | xuntil2p8(s342) | (~until2p7(s342))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38138, 38137])).
% 14.80/10.59 tff(38140,plain,
% 14.80/10.59 (xuntil2p8(s342) | (~until2p7(s342))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38139, 37556, 37293])).
% 14.80/10.59 tff(38141,plain,
% 14.80/10.59 (~until2p7(s342)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38140, 38136])).
% 14.80/10.59 tff(38142,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38143,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38144,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38143, 38142])).
% 14.80/10.59 tff(38145,plain,
% 14.80/10.59 (until2p7(s342) | (~xuntil2p8(s341))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38144, 27598, 37571])).
% 14.80/10.59 tff(38146,plain,
% 14.80/10.59 (~xuntil2p8(s341)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38145, 38141])).
% 14.80/10.59 tff(38147,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s341) | xuntil2p8(s341) | (~until2p7(s341)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s341) | xuntil2p8(s341) | (~until2p7(s341)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38148,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s341) | xuntil2p8(s341) | (~until2p7(s341)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38149,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s341) | xuntil2p8(s341) | (~until2p7(s341))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38148, 38147])).
% 14.80/10.59 tff(38150,plain,
% 14.80/10.59 (xuntil2p8(s341) | (~until2p7(s341))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38149, 37556, 37289])).
% 14.80/10.59 tff(38151,plain,
% 14.80/10.59 (~until2p7(s341)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38150, 38146])).
% 14.80/10.59 tff(38152,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38153,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38154,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38153, 38152])).
% 14.80/10.59 tff(38155,plain,
% 14.80/10.59 (until2p7(s341) | (~xuntil2p8(s340))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38154, 27610, 37571])).
% 14.80/10.59 tff(38156,plain,
% 14.80/10.59 (~xuntil2p8(s340)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38155, 38151])).
% 14.80/10.59 tff(38157,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s340) | xuntil2p8(s340) | (~until2p7(s340)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s340) | xuntil2p8(s340) | (~until2p7(s340)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38158,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s340) | xuntil2p8(s340) | (~until2p7(s340)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38159,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s340) | xuntil2p8(s340) | (~until2p7(s340))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38158, 38157])).
% 14.80/10.59 tff(38160,plain,
% 14.80/10.59 (xuntil2p8(s340) | (~until2p7(s340))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38159, 37556, 37285])).
% 14.80/10.59 tff(38161,plain,
% 14.80/10.59 (~until2p7(s340)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38160, 38156])).
% 14.80/10.59 tff(38162,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38163,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38164,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38163, 38162])).
% 14.80/10.59 tff(38165,plain,
% 14.80/10.59 (until2p7(s340) | (~xuntil2p8(s339))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38164, 27622, 37571])).
% 14.80/10.59 tff(38166,plain,
% 14.80/10.59 (~xuntil2p8(s339)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38165, 38161])).
% 14.80/10.59 tff(38167,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s339) | xuntil2p8(s339) | (~until2p7(s339)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s339) | xuntil2p8(s339) | (~until2p7(s339)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38168,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s339) | xuntil2p8(s339) | (~until2p7(s339)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38169,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s339) | xuntil2p8(s339) | (~until2p7(s339))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38168, 38167])).
% 14.80/10.59 tff(38170,plain,
% 14.80/10.59 (xuntil2p8(s339) | (~until2p7(s339))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38169, 37556, 37281])).
% 14.80/10.59 tff(38171,plain,
% 14.80/10.59 (~until2p7(s339)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38170, 38166])).
% 14.80/10.59 tff(38172,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38173,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38174,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38173, 38172])).
% 14.80/10.59 tff(38175,plain,
% 14.80/10.59 (until2p7(s339) | (~xuntil2p8(s338))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38174, 27634, 37571])).
% 14.80/10.59 tff(38176,plain,
% 14.80/10.59 (~xuntil2p8(s338)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38175, 38171])).
% 14.80/10.59 tff(38177,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s338) | xuntil2p8(s338) | (~until2p7(s338)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s338) | xuntil2p8(s338) | (~until2p7(s338)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38178,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s338) | xuntil2p8(s338) | (~until2p7(s338)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38179,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s338) | xuntil2p8(s338) | (~until2p7(s338))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38178, 38177])).
% 14.80/10.59 tff(38180,plain,
% 14.80/10.59 (xuntil2p8(s338) | (~until2p7(s338))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38179, 37556, 37277])).
% 14.80/10.59 tff(38181,plain,
% 14.80/10.59 (~until2p7(s338)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38180, 38176])).
% 14.80/10.59 tff(38182,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38183,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38184,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38183, 38182])).
% 14.80/10.59 tff(38185,plain,
% 14.80/10.59 (until2p7(s338) | (~xuntil2p8(s337))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38184, 27646, 37571])).
% 14.80/10.59 tff(38186,plain,
% 14.80/10.59 (~xuntil2p8(s337)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38185, 38181])).
% 14.80/10.59 tff(38187,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s337) | xuntil2p8(s337) | (~until2p7(s337)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s337) | xuntil2p8(s337) | (~until2p7(s337)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38188,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s337) | xuntil2p8(s337) | (~until2p7(s337)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38189,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s337) | xuntil2p8(s337) | (~until2p7(s337))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38188, 38187])).
% 14.80/10.59 tff(38190,plain,
% 14.80/10.59 (xuntil2p8(s337) | (~until2p7(s337))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38189, 37556, 37273])).
% 14.80/10.59 tff(38191,plain,
% 14.80/10.59 (~until2p7(s337)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38190, 38186])).
% 14.80/10.59 tff(38192,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38193,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38194,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38193, 38192])).
% 14.80/10.59 tff(38195,plain,
% 14.80/10.59 (until2p7(s337) | (~xuntil2p8(s336))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38194, 27658, 37571])).
% 14.80/10.59 tff(38196,plain,
% 14.80/10.59 (~xuntil2p8(s336)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38195, 38191])).
% 14.80/10.59 tff(38197,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s336) | xuntil2p8(s336) | (~until2p7(s336)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s336) | xuntil2p8(s336) | (~until2p7(s336)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38198,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s336) | xuntil2p8(s336) | (~until2p7(s336)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38199,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s336) | xuntil2p8(s336) | (~until2p7(s336))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38198, 38197])).
% 14.80/10.59 tff(38200,plain,
% 14.80/10.59 (xuntil2p8(s336) | (~until2p7(s336))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38199, 37556, 37269])).
% 14.80/10.59 tff(38201,plain,
% 14.80/10.59 (~until2p7(s336)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38200, 38196])).
% 14.80/10.59 tff(38202,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38203,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38204,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38203, 38202])).
% 14.80/10.59 tff(38205,plain,
% 14.80/10.59 (until2p7(s336) | (~xuntil2p8(s335))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38204, 27670, 37571])).
% 14.80/10.59 tff(38206,plain,
% 14.80/10.59 (~xuntil2p8(s335)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38205, 38201])).
% 14.80/10.59 tff(38207,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s335) | xuntil2p8(s335) | (~until2p7(s335)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s335) | xuntil2p8(s335) | (~until2p7(s335)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38208,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s335) | xuntil2p8(s335) | (~until2p7(s335)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38209,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s335) | xuntil2p8(s335) | (~until2p7(s335))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38208, 38207])).
% 14.80/10.59 tff(38210,plain,
% 14.80/10.59 (xuntil2p8(s335) | (~until2p7(s335))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38209, 37556, 37265])).
% 14.80/10.59 tff(38211,plain,
% 14.80/10.59 (~until2p7(s335)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38210, 38206])).
% 14.80/10.59 tff(38212,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38213,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38214,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38213, 38212])).
% 14.80/10.59 tff(38215,plain,
% 14.80/10.59 (until2p7(s335) | (~xuntil2p8(s334))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38214, 27682, 37571])).
% 14.80/10.59 tff(38216,plain,
% 14.80/10.59 (~xuntil2p8(s334)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38215, 38211])).
% 14.80/10.59 tff(38217,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s334) | xuntil2p8(s334) | (~until2p7(s334)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s334) | xuntil2p8(s334) | (~until2p7(s334)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38218,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s334) | xuntil2p8(s334) | (~until2p7(s334)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38219,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s334) | xuntil2p8(s334) | (~until2p7(s334))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38218, 38217])).
% 14.80/10.59 tff(38220,plain,
% 14.80/10.59 (xuntil2p8(s334) | (~until2p7(s334))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38219, 37556, 37261])).
% 14.80/10.59 tff(38221,plain,
% 14.80/10.59 (~until2p7(s334)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38220, 38216])).
% 14.80/10.59 tff(38222,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38223,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38224,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38223, 38222])).
% 14.80/10.59 tff(38225,plain,
% 14.80/10.59 (until2p7(s334) | (~xuntil2p8(s333))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38224, 27694, 37571])).
% 14.80/10.59 tff(38226,plain,
% 14.80/10.59 (~xuntil2p8(s333)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38225, 38221])).
% 14.80/10.59 tff(38227,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s333) | xuntil2p8(s333) | (~until2p7(s333)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s333) | xuntil2p8(s333) | (~until2p7(s333)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38228,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s333) | xuntil2p8(s333) | (~until2p7(s333)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38229,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s333) | xuntil2p8(s333) | (~until2p7(s333))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38228, 38227])).
% 14.80/10.59 tff(38230,plain,
% 14.80/10.59 (xuntil2p8(s333) | (~until2p7(s333))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38229, 37556, 37257])).
% 14.80/10.59 tff(38231,plain,
% 14.80/10.59 (~until2p7(s333)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38230, 38226])).
% 14.80/10.59 tff(38232,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38233,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38234,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38233, 38232])).
% 14.80/10.59 tff(38235,plain,
% 14.80/10.59 (until2p7(s333) | (~xuntil2p8(s332))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38234, 27706, 37571])).
% 14.80/10.59 tff(38236,plain,
% 14.80/10.59 (~xuntil2p8(s332)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38235, 38231])).
% 14.80/10.59 tff(38237,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s332) | xuntil2p8(s332) | (~until2p7(s332)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s332) | xuntil2p8(s332) | (~until2p7(s332)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38238,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s332) | xuntil2p8(s332) | (~until2p7(s332)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38239,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s332) | xuntil2p8(s332) | (~until2p7(s332))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38238, 38237])).
% 14.80/10.59 tff(38240,plain,
% 14.80/10.59 (xuntil2p8(s332) | (~until2p7(s332))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38239, 37556, 37253])).
% 14.80/10.59 tff(38241,plain,
% 14.80/10.59 (~until2p7(s332)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38240, 38236])).
% 14.80/10.59 tff(38242,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38243,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38244,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38243, 38242])).
% 14.80/10.59 tff(38245,plain,
% 14.80/10.59 (until2p7(s332) | (~xuntil2p8(s331))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38244, 27718, 37571])).
% 14.80/10.59 tff(38246,plain,
% 14.80/10.59 (~xuntil2p8(s331)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38245, 38241])).
% 14.80/10.59 tff(38247,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s331) | xuntil2p8(s331) | (~until2p7(s331)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s331) | xuntil2p8(s331) | (~until2p7(s331)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38248,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s331) | xuntil2p8(s331) | (~until2p7(s331)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38249,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s331) | xuntil2p8(s331) | (~until2p7(s331))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38248, 38247])).
% 14.80/10.59 tff(38250,plain,
% 14.80/10.59 (xuntil2p8(s331) | (~until2p7(s331))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38249, 37556, 37249])).
% 14.80/10.59 tff(38251,plain,
% 14.80/10.59 (~until2p7(s331)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38250, 38246])).
% 14.80/10.59 tff(38252,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38253,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38254,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38253, 38252])).
% 14.80/10.59 tff(38255,plain,
% 14.80/10.59 (until2p7(s331) | (~xuntil2p8(s330))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38254, 27730, 37571])).
% 14.80/10.59 tff(38256,plain,
% 14.80/10.59 (~xuntil2p8(s330)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38255, 38251])).
% 14.80/10.59 tff(38257,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s330) | xuntil2p8(s330) | (~until2p7(s330)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s330) | xuntil2p8(s330) | (~until2p7(s330)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38258,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s330) | xuntil2p8(s330) | (~until2p7(s330)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38259,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s330) | xuntil2p8(s330) | (~until2p7(s330))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38258, 38257])).
% 14.80/10.59 tff(38260,plain,
% 14.80/10.59 (xuntil2p8(s330) | (~until2p7(s330))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38259, 37556, 37245])).
% 14.80/10.59 tff(38261,plain,
% 14.80/10.59 (~until2p7(s330)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38260, 38256])).
% 14.80/10.59 tff(38262,plain,
% 14.80/10.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38263,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.59 tff(38264,plain,
% 14.80/10.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329))),
% 14.80/10.59 inference(modus_ponens,[status(thm)],[38263, 38262])).
% 14.80/10.59 tff(38265,plain,
% 14.80/10.59 (until2p7(s330) | (~xuntil2p8(s329))),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38264, 27742, 37571])).
% 14.80/10.59 tff(38266,plain,
% 14.80/10.59 (~xuntil2p8(s329)),
% 14.80/10.59 inference(unit_resolution,[status(thm)],[38265, 38261])).
% 14.80/10.59 tff(38267,plain,
% 14.80/10.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s329) | xuntil2p8(s329) | (~until2p7(s329)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s329) | xuntil2p8(s329) | (~until2p7(s329)))),
% 14.80/10.59 inference(rewrite,[status(thm)],[])).
% 14.80/10.59 tff(38268,plain,
% 14.80/10.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s329) | xuntil2p8(s329) | (~until2p7(s329)))),
% 14.80/10.59 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38269,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s329) | xuntil2p8(s329) | (~until2p7(s329))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38268, 38267])).
% 14.80/10.60 tff(38270,plain,
% 14.80/10.60 (xuntil2p8(s329) | (~until2p7(s329))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38269, 37556, 37241])).
% 14.80/10.60 tff(38271,plain,
% 14.80/10.60 (~until2p7(s329)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38270, 38266])).
% 14.80/10.60 tff(38272,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38273,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38274,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38273, 38272])).
% 14.80/10.60 tff(38275,plain,
% 14.80/10.60 (until2p7(s329) | (~xuntil2p8(s328))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38274, 27754, 37571])).
% 14.80/10.60 tff(38276,plain,
% 14.80/10.60 (~xuntil2p8(s328)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38275, 38271])).
% 14.80/10.60 tff(38277,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s328) | xuntil2p8(s328) | (~until2p7(s328)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s328) | xuntil2p8(s328) | (~until2p7(s328)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38278,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s328) | xuntil2p8(s328) | (~until2p7(s328)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38279,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s328) | xuntil2p8(s328) | (~until2p7(s328))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38278, 38277])).
% 14.80/10.60 tff(38280,plain,
% 14.80/10.60 (xuntil2p8(s328) | (~until2p7(s328))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38279, 37556, 37237])).
% 14.80/10.60 tff(38281,plain,
% 14.80/10.60 (~until2p7(s328)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38280, 38276])).
% 14.80/10.60 tff(38282,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38283,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38284,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38283, 38282])).
% 14.80/10.60 tff(38285,plain,
% 14.80/10.60 (until2p7(s328) | (~xuntil2p8(s327))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38284, 27766, 37571])).
% 14.80/10.60 tff(38286,plain,
% 14.80/10.60 (~xuntil2p8(s327)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38285, 38281])).
% 14.80/10.60 tff(38287,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s327) | xuntil2p8(s327) | (~until2p7(s327)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s327) | xuntil2p8(s327) | (~until2p7(s327)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38288,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s327) | xuntil2p8(s327) | (~until2p7(s327)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38289,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s327) | xuntil2p8(s327) | (~until2p7(s327))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38288, 38287])).
% 14.80/10.60 tff(38290,plain,
% 14.80/10.60 (xuntil2p8(s327) | (~until2p7(s327))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38289, 37556, 37233])).
% 14.80/10.60 tff(38291,plain,
% 14.80/10.60 (~until2p7(s327)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38290, 38286])).
% 14.80/10.60 tff(38292,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38293,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38294,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38293, 38292])).
% 14.80/10.60 tff(38295,plain,
% 14.80/10.60 (until2p7(s327) | (~xuntil2p8(s326))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38294, 27778, 37571])).
% 14.80/10.60 tff(38296,plain,
% 14.80/10.60 (~xuntil2p8(s326)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38295, 38291])).
% 14.80/10.60 tff(38297,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s326) | xuntil2p8(s326) | (~until2p7(s326)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s326) | xuntil2p8(s326) | (~until2p7(s326)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38298,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s326) | xuntil2p8(s326) | (~until2p7(s326)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38299,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s326) | xuntil2p8(s326) | (~until2p7(s326))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38298, 38297])).
% 14.80/10.60 tff(38300,plain,
% 14.80/10.60 (xuntil2p8(s326) | (~until2p7(s326))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38299, 37556, 37229])).
% 14.80/10.60 tff(38301,plain,
% 14.80/10.60 (~until2p7(s326)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38300, 38296])).
% 14.80/10.60 tff(38302,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38303,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38304,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38303, 38302])).
% 14.80/10.60 tff(38305,plain,
% 14.80/10.60 (until2p7(s326) | (~xuntil2p8(s325))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38304, 27790, 37571])).
% 14.80/10.60 tff(38306,plain,
% 14.80/10.60 (~xuntil2p8(s325)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38305, 38301])).
% 14.80/10.60 tff(38307,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s325) | xuntil2p8(s325) | (~until2p7(s325)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s325) | xuntil2p8(s325) | (~until2p7(s325)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38308,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s325) | xuntil2p8(s325) | (~until2p7(s325)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38309,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s325) | xuntil2p8(s325) | (~until2p7(s325))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38308, 38307])).
% 14.80/10.60 tff(38310,plain,
% 14.80/10.60 (xuntil2p8(s325) | (~until2p7(s325))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38309, 37556, 37225])).
% 14.80/10.60 tff(38311,plain,
% 14.80/10.60 (~until2p7(s325)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38310, 38306])).
% 14.80/10.60 tff(38312,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38313,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38314,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38313, 38312])).
% 14.80/10.60 tff(38315,plain,
% 14.80/10.60 (until2p7(s325) | (~xuntil2p8(s324))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38314, 27802, 37571])).
% 14.80/10.60 tff(38316,plain,
% 14.80/10.60 (~xuntil2p8(s324)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38315, 38311])).
% 14.80/10.60 tff(38317,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s324) | xuntil2p8(s324) | (~until2p7(s324)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s324) | xuntil2p8(s324) | (~until2p7(s324)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38318,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s324) | xuntil2p8(s324) | (~until2p7(s324)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38319,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s324) | xuntil2p8(s324) | (~until2p7(s324))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38318, 38317])).
% 14.80/10.60 tff(38320,plain,
% 14.80/10.60 (xuntil2p8(s324) | (~until2p7(s324))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38319, 37556, 37221])).
% 14.80/10.60 tff(38321,plain,
% 14.80/10.60 (~until2p7(s324)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38320, 38316])).
% 14.80/10.60 tff(38322,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38323,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38324,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38323, 38322])).
% 14.80/10.60 tff(38325,plain,
% 14.80/10.60 (until2p7(s324) | (~xuntil2p8(s323))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38324, 27814, 37571])).
% 14.80/10.60 tff(38326,plain,
% 14.80/10.60 (~xuntil2p8(s323)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38325, 38321])).
% 14.80/10.60 tff(38327,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s323) | xuntil2p8(s323) | (~until2p7(s323)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s323) | xuntil2p8(s323) | (~until2p7(s323)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38328,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s323) | xuntil2p8(s323) | (~until2p7(s323)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38329,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s323) | xuntil2p8(s323) | (~until2p7(s323))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38328, 38327])).
% 14.80/10.60 tff(38330,plain,
% 14.80/10.60 (xuntil2p8(s323) | (~until2p7(s323))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38329, 37556, 37217])).
% 14.80/10.60 tff(38331,plain,
% 14.80/10.60 (~until2p7(s323)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38330, 38326])).
% 14.80/10.60 tff(38332,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38333,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38334,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38333, 38332])).
% 14.80/10.60 tff(38335,plain,
% 14.80/10.60 (until2p7(s323) | (~xuntil2p8(s322))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38334, 27826, 37571])).
% 14.80/10.60 tff(38336,plain,
% 14.80/10.60 (~xuntil2p8(s322)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38335, 38331])).
% 14.80/10.60 tff(38337,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s322) | xuntil2p8(s322) | (~until2p7(s322)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s322) | xuntil2p8(s322) | (~until2p7(s322)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38338,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s322) | xuntil2p8(s322) | (~until2p7(s322)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38339,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s322) | xuntil2p8(s322) | (~until2p7(s322))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38338, 38337])).
% 14.80/10.60 tff(38340,plain,
% 14.80/10.60 (xuntil2p8(s322) | (~until2p7(s322))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38339, 37556, 37213])).
% 14.80/10.60 tff(38341,plain,
% 14.80/10.60 (~until2p7(s322)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38340, 38336])).
% 14.80/10.60 tff(38342,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38343,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38344,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38343, 38342])).
% 14.80/10.60 tff(38345,plain,
% 14.80/10.60 (until2p7(s322) | (~xuntil2p8(s321))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38344, 27838, 37571])).
% 14.80/10.60 tff(38346,plain,
% 14.80/10.60 (~xuntil2p8(s321)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38345, 38341])).
% 14.80/10.60 tff(38347,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s321) | xuntil2p8(s321) | (~until2p7(s321)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s321) | xuntil2p8(s321) | (~until2p7(s321)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38348,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s321) | xuntil2p8(s321) | (~until2p7(s321)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38349,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s321) | xuntil2p8(s321) | (~until2p7(s321))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38348, 38347])).
% 14.80/10.60 tff(38350,plain,
% 14.80/10.60 (xuntil2p8(s321) | (~until2p7(s321))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38349, 37556, 37209])).
% 14.80/10.60 tff(38351,plain,
% 14.80/10.60 (~until2p7(s321)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38350, 38346])).
% 14.80/10.60 tff(38352,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38353,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38354,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38353, 38352])).
% 14.80/10.60 tff(38355,plain,
% 14.80/10.60 (until2p7(s321) | (~xuntil2p8(s320))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38354, 27850, 37571])).
% 14.80/10.60 tff(38356,plain,
% 14.80/10.60 (~xuntil2p8(s320)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38355, 38351])).
% 14.80/10.60 tff(38357,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s320) | xuntil2p8(s320) | (~until2p7(s320)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s320) | xuntil2p8(s320) | (~until2p7(s320)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38358,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s320) | xuntil2p8(s320) | (~until2p7(s320)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38359,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s320) | xuntil2p8(s320) | (~until2p7(s320))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38358, 38357])).
% 14.80/10.60 tff(38360,plain,
% 14.80/10.60 (xuntil2p8(s320) | (~until2p7(s320))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38359, 37556, 37205])).
% 14.80/10.60 tff(38361,plain,
% 14.80/10.60 (~until2p7(s320)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38360, 38356])).
% 14.80/10.60 tff(38362,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38363,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38364,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38363, 38362])).
% 14.80/10.60 tff(38365,plain,
% 14.80/10.60 (until2p7(s320) | (~xuntil2p8(s319))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38364, 27862, 37571])).
% 14.80/10.60 tff(38366,plain,
% 14.80/10.60 (~xuntil2p8(s319)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38365, 38361])).
% 14.80/10.60 tff(38367,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s319) | xuntil2p8(s319) | (~until2p7(s319)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s319) | xuntil2p8(s319) | (~until2p7(s319)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38368,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s319) | xuntil2p8(s319) | (~until2p7(s319)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38369,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s319) | xuntil2p8(s319) | (~until2p7(s319))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38368, 38367])).
% 14.80/10.60 tff(38370,plain,
% 14.80/10.60 (xuntil2p8(s319) | (~until2p7(s319))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38369, 37556, 37201])).
% 14.80/10.60 tff(38371,plain,
% 14.80/10.60 (~until2p7(s319)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38370, 38366])).
% 14.80/10.60 tff(38372,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38373,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38374,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38373, 38372])).
% 14.80/10.60 tff(38375,plain,
% 14.80/10.60 (until2p7(s319) | (~xuntil2p8(s318))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38374, 27874, 37571])).
% 14.80/10.60 tff(38376,plain,
% 14.80/10.60 (~xuntil2p8(s318)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38375, 38371])).
% 14.80/10.60 tff(38377,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s318) | xuntil2p8(s318) | (~until2p7(s318)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s318) | xuntil2p8(s318) | (~until2p7(s318)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38378,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s318) | xuntil2p8(s318) | (~until2p7(s318)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38379,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s318) | xuntil2p8(s318) | (~until2p7(s318))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38378, 38377])).
% 14.80/10.60 tff(38380,plain,
% 14.80/10.60 (xuntil2p8(s318) | (~until2p7(s318))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38379, 37556, 37197])).
% 14.80/10.60 tff(38381,plain,
% 14.80/10.60 (~until2p7(s318)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38380, 38376])).
% 14.80/10.60 tff(38382,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38383,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38384,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38383, 38382])).
% 14.80/10.60 tff(38385,plain,
% 14.80/10.60 (until2p7(s318) | (~xuntil2p8(s317))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38384, 27886, 37571])).
% 14.80/10.60 tff(38386,plain,
% 14.80/10.60 (~xuntil2p8(s317)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38385, 38381])).
% 14.80/10.60 tff(38387,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s317) | xuntil2p8(s317) | (~until2p7(s317)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s317) | xuntil2p8(s317) | (~until2p7(s317)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38388,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s317) | xuntil2p8(s317) | (~until2p7(s317)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38389,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s317) | xuntil2p8(s317) | (~until2p7(s317))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38388, 38387])).
% 14.80/10.60 tff(38390,plain,
% 14.80/10.60 (xuntil2p8(s317) | (~until2p7(s317))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38389, 37556, 37193])).
% 14.80/10.60 tff(38391,plain,
% 14.80/10.60 (~until2p7(s317)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38390, 38386])).
% 14.80/10.60 tff(38392,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38393,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38394,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38393, 38392])).
% 14.80/10.60 tff(38395,plain,
% 14.80/10.60 (until2p7(s317) | (~xuntil2p8(s316))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38394, 27898, 37571])).
% 14.80/10.60 tff(38396,plain,
% 14.80/10.60 (~xuntil2p8(s316)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38395, 38391])).
% 14.80/10.60 tff(38397,plain,
% 14.80/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s316) | xuntil2p8(s316) | (~until2p7(s316)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s316) | xuntil2p8(s316) | (~until2p7(s316)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38398,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s316) | xuntil2p8(s316) | (~until2p7(s316)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38399,plain,
% 14.80/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s316) | xuntil2p8(s316) | (~until2p7(s316))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38398, 38397])).
% 14.80/10.60 tff(38400,plain,
% 14.80/10.60 (xuntil2p8(s316) | (~until2p7(s316))),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38399, 37556, 37189])).
% 14.80/10.60 tff(38401,plain,
% 14.80/10.60 (~until2p7(s316)),
% 14.80/10.60 inference(unit_resolution,[status(thm)],[38400, 38396])).
% 14.80/10.60 tff(38402,plain,
% 14.80/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315)))),
% 14.80/10.60 inference(rewrite,[status(thm)],[])).
% 14.80/10.60 tff(38403,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315)))),
% 14.80/10.60 inference(quant_inst,[status(thm)],[])).
% 14.80/10.60 tff(38404,plain,
% 14.80/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315))),
% 14.80/10.60 inference(modus_ponens,[status(thm)],[38403, 38402])).
% 14.80/10.60 tff(38405,plain,
% 14.80/10.60 (until2p7(s316) | (~xuntil2p8(s315))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38404, 27910, 37571])).
% 14.90/10.60 tff(38406,plain,
% 14.90/10.60 (~xuntil2p8(s315)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38405, 38401])).
% 14.90/10.60 tff(38407,plain,
% 14.90/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s315) | xuntil2p8(s315) | (~until2p7(s315)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s315) | xuntil2p8(s315) | (~until2p7(s315)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38408,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s315) | xuntil2p8(s315) | (~until2p7(s315)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38409,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s315) | xuntil2p8(s315) | (~until2p7(s315))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38408, 38407])).
% 14.90/10.60 tff(38410,plain,
% 14.90/10.60 (xuntil2p8(s315) | (~until2p7(s315))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38409, 37556, 37185])).
% 14.90/10.60 tff(38411,plain,
% 14.90/10.60 (~until2p7(s315)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38410, 38406])).
% 14.90/10.60 tff(38412,plain,
% 14.90/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38413,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38414,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38413, 38412])).
% 14.90/10.60 tff(38415,plain,
% 14.90/10.60 (until2p7(s315) | (~xuntil2p8(s314))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38414, 27922, 37571])).
% 14.90/10.60 tff(38416,plain,
% 14.90/10.60 (~xuntil2p8(s314)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38415, 38411])).
% 14.90/10.60 tff(38417,plain,
% 14.90/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s314) | xuntil2p8(s314) | (~until2p7(s314)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s314) | xuntil2p8(s314) | (~until2p7(s314)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38418,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s314) | xuntil2p8(s314) | (~until2p7(s314)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38419,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s314) | xuntil2p8(s314) | (~until2p7(s314))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38418, 38417])).
% 14.90/10.60 tff(38420,plain,
% 14.90/10.60 (xuntil2p8(s314) | (~until2p7(s314))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38419, 37556, 37181])).
% 14.90/10.60 tff(38421,plain,
% 14.90/10.60 (~until2p7(s314)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38420, 38416])).
% 14.90/10.60 tff(38422,plain,
% 14.90/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38423,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38424,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38423, 38422])).
% 14.90/10.60 tff(38425,plain,
% 14.90/10.60 (until2p7(s314) | (~xuntil2p8(s313))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38424, 27934, 37571])).
% 14.90/10.60 tff(38426,plain,
% 14.90/10.60 (~xuntil2p8(s313)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38425, 38421])).
% 14.90/10.60 tff(38427,plain,
% 14.90/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s313) | xuntil2p8(s313) | (~until2p7(s313)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s313) | xuntil2p8(s313) | (~until2p7(s313)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38428,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s313) | xuntil2p8(s313) | (~until2p7(s313)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38429,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s313) | xuntil2p8(s313) | (~until2p7(s313))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38428, 38427])).
% 14.90/10.60 tff(38430,plain,
% 14.90/10.60 (xuntil2p8(s313) | (~until2p7(s313))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38429, 37556, 37177])).
% 14.90/10.60 tff(38431,plain,
% 14.90/10.60 (~until2p7(s313)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38430, 38426])).
% 14.90/10.60 tff(38432,plain,
% 14.90/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38433,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38434,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38433, 38432])).
% 14.90/10.60 tff(38435,plain,
% 14.90/10.60 (until2p7(s313) | (~xuntil2p8(s312))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38434, 27946, 37571])).
% 14.90/10.60 tff(38436,plain,
% 14.90/10.60 (~xuntil2p8(s312)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38435, 38431])).
% 14.90/10.60 tff(38437,plain,
% 14.90/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s312) | xuntil2p8(s312) | (~until2p7(s312)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s312) | xuntil2p8(s312) | (~until2p7(s312)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38438,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s312) | xuntil2p8(s312) | (~until2p7(s312)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38439,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s312) | xuntil2p8(s312) | (~until2p7(s312))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38438, 38437])).
% 14.90/10.60 tff(38440,plain,
% 14.90/10.60 (xuntil2p8(s312) | (~until2p7(s312))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38439, 37556, 37173])).
% 14.90/10.60 tff(38441,plain,
% 14.90/10.60 (~until2p7(s312)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38440, 38436])).
% 14.90/10.60 tff(38442,plain,
% 14.90/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38443,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38444,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38443, 38442])).
% 14.90/10.60 tff(38445,plain,
% 14.90/10.60 (until2p7(s312) | (~xuntil2p8(s311))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38444, 27958, 37571])).
% 14.90/10.60 tff(38446,plain,
% 14.90/10.60 (~xuntil2p8(s311)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38445, 38441])).
% 14.90/10.60 tff(38447,plain,
% 14.90/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s311) | xuntil2p8(s311) | (~until2p7(s311)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s311) | xuntil2p8(s311) | (~until2p7(s311)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38448,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s311) | xuntil2p8(s311) | (~until2p7(s311)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38449,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s311) | xuntil2p8(s311) | (~until2p7(s311))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38448, 38447])).
% 14.90/10.60 tff(38450,plain,
% 14.90/10.60 (xuntil2p8(s311) | (~until2p7(s311))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38449, 37556, 37169])).
% 14.90/10.60 tff(38451,plain,
% 14.90/10.60 (~until2p7(s311)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38450, 38446])).
% 14.90/10.60 tff(38452,plain,
% 14.90/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38453,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38454,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38453, 38452])).
% 14.90/10.60 tff(38455,plain,
% 14.90/10.60 (until2p7(s311) | (~xuntil2p8(s310))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38454, 27970, 37571])).
% 14.90/10.60 tff(38456,plain,
% 14.90/10.60 (~xuntil2p8(s310)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38455, 38451])).
% 14.90/10.60 tff(38457,plain,
% 14.90/10.60 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s310) | xuntil2p8(s310) | (~until2p7(s310)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s310) | xuntil2p8(s310) | (~until2p7(s310)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38458,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s310) | xuntil2p8(s310) | (~until2p7(s310)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38459,plain,
% 14.90/10.60 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s310) | xuntil2p8(s310) | (~until2p7(s310))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38458, 38457])).
% 14.90/10.60 tff(38460,plain,
% 14.90/10.60 (xuntil2p8(s310) | (~until2p7(s310))),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38459, 37556, 37165])).
% 14.90/10.60 tff(38461,plain,
% 14.90/10.60 (~until2p7(s310)),
% 14.90/10.60 inference(unit_resolution,[status(thm)],[38460, 38456])).
% 14.90/10.60 tff(38462,plain,
% 14.90/10.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309)))),
% 14.90/10.60 inference(rewrite,[status(thm)],[])).
% 14.90/10.60 tff(38463,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309)))),
% 14.90/10.60 inference(quant_inst,[status(thm)],[])).
% 14.90/10.60 tff(38464,plain,
% 14.90/10.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309))),
% 14.90/10.60 inference(modus_ponens,[status(thm)],[38463, 38462])).
% 14.90/10.60 tff(38465,plain,
% 14.90/10.60 (until2p7(s310) | (~xuntil2p8(s309))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38464, 27982, 37571])).
% 14.90/10.61 tff(38466,plain,
% 14.90/10.61 (~xuntil2p8(s309)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38465, 38461])).
% 14.90/10.61 tff(38467,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s309) | xuntil2p8(s309) | (~until2p7(s309)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s309) | xuntil2p8(s309) | (~until2p7(s309)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38468,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s309) | xuntil2p8(s309) | (~until2p7(s309)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38469,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s309) | xuntil2p8(s309) | (~until2p7(s309))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38468, 38467])).
% 14.90/10.61 tff(38470,plain,
% 14.90/10.61 (xuntil2p8(s309) | (~until2p7(s309))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38469, 37556, 37161])).
% 14.90/10.61 tff(38471,plain,
% 14.90/10.61 (~until2p7(s309)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38470, 38466])).
% 14.90/10.61 tff(38472,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38473,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38474,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38473, 38472])).
% 14.90/10.61 tff(38475,plain,
% 14.90/10.61 (until2p7(s309) | (~xuntil2p8(s308))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38474, 27998, 37571])).
% 14.90/10.61 tff(38476,plain,
% 14.90/10.61 (~xuntil2p8(s308)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38475, 38471])).
% 14.90/10.61 tff(38477,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s308) | xuntil2p8(s308) | (~until2p7(s308)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s308) | xuntil2p8(s308) | (~until2p7(s308)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38478,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s308) | xuntil2p8(s308) | (~until2p7(s308)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38479,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s308) | xuntil2p8(s308) | (~until2p7(s308))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38478, 38477])).
% 14.90/10.61 tff(38480,plain,
% 14.90/10.61 (xuntil2p8(s308) | (~until2p7(s308))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38479, 37556, 37157])).
% 14.90/10.61 tff(38481,plain,
% 14.90/10.61 (~until2p7(s308)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38480, 38476])).
% 14.90/10.61 tff(38482,plain,
% 14.90/10.61 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)))),
% 14.90/10.61 inference(bind,[status(th)],[])).
% 14.90/10.61 tff(38483,plain,
% 14.90/10.61 (![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))),
% 14.90/10.61 inference(quant_intro,[status(thm)],[38482])).
% 14.90/10.61 tff(38484,plain,
% 14.90/10.61 (![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))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38485,plain,
% 14.90/10.61 (^[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))))),
% 14.90/10.61 inference(bind,[status(th)],[])).
% 14.90/10.61 tff(38486,plain,
% 14.90/10.61 (![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))),
% 14.90/10.61 inference(quant_intro,[status(thm)],[38485])).
% 14.90/10.61 tff(38487,axiom,(![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty9')).
% 14.90/10.61 tff(38488,plain,
% 14.90/10.61 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38487, 38486])).
% 14.90/10.61 tff(38489,plain,
% 14.90/10.61 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38488, 38484])).
% 14.90/10.61 tff(38490,plain,(
% 14.90/10.61 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 14.90/10.61 inference(skolemize,[status(sab)],[38489])).
% 14.90/10.61 tff(38491,plain,
% 14.90/10.61 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38490, 38483])).
% 14.90/10.61 tff(38492,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38493,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38494,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38493, 38492])).
% 14.90/10.61 tff(38495,plain,
% 14.90/10.61 (until2p7(s308) | (~xuntil2p8(s307))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38494, 26158, 37571])).
% 14.90/10.61 tff(38496,plain,
% 14.90/10.61 (~xuntil2p8(s307)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38495, 38481])).
% 14.90/10.61 tff(38497,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s307) | xuntil2p8(s307) | (~until2p7(s307)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s307) | xuntil2p8(s307) | (~until2p7(s307)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38498,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s307) | xuntil2p8(s307) | (~until2p7(s307)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38499,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s307) | xuntil2p8(s307) | (~until2p7(s307))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38498, 38497])).
% 14.90/10.61 tff(38500,plain,
% 14.90/10.61 (xuntil2p8(s307) | (~until2p7(s307))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38499, 37556, 37153])).
% 14.90/10.61 tff(38501,plain,
% 14.90/10.61 (~until2p7(s307)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38500, 38496])).
% 14.90/10.61 tff(38502,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38503,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38504,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38503, 38502])).
% 14.90/10.61 tff(38505,plain,
% 14.90/10.61 (until2p7(s307) | (~xuntil2p8(s306))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38504, 26008, 37571])).
% 14.90/10.61 tff(38506,plain,
% 14.90/10.61 (~xuntil2p8(s306)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38505, 38501])).
% 14.90/10.61 tff(38507,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s306) | xuntil2p8(s306) | (~until2p7(s306)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s306) | xuntil2p8(s306) | (~until2p7(s306)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38508,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s306) | xuntil2p8(s306) | (~until2p7(s306)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38509,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s306) | xuntil2p8(s306) | (~until2p7(s306))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38508, 38507])).
% 14.90/10.61 tff(38510,plain,
% 14.90/10.61 (xuntil2p8(s306) | (~until2p7(s306))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38509, 37556, 37142])).
% 14.90/10.61 tff(38511,plain,
% 14.90/10.61 (~until2p7(s306)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38510, 38506])).
% 14.90/10.61 tff(38512,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38513,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38514,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38513, 38512])).
% 14.90/10.61 tff(38515,plain,
% 14.90/10.61 (until2p7(s306) | (~xuntil2p8(s305))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38514, 26034, 37571])).
% 14.90/10.61 tff(38516,plain,
% 14.90/10.61 (~xuntil2p8(s305)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38515, 38511])).
% 14.90/10.61 tff(38517,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s305) | xuntil2p8(s305) | (~until2p7(s305)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s305) | xuntil2p8(s305) | (~until2p7(s305)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38518,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s305) | xuntil2p8(s305) | (~until2p7(s305)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38519,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s305) | xuntil2p8(s305) | (~until2p7(s305))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38518, 38517])).
% 14.90/10.61 tff(38520,plain,
% 14.90/10.61 (xuntil2p8(s305) | (~until2p7(s305))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38519, 37556, 37144])).
% 14.90/10.61 tff(38521,plain,
% 14.90/10.61 (~until2p7(s305)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38520, 38516])).
% 14.90/10.61 tff(38522,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38523,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38524,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38523, 38522])).
% 14.90/10.61 tff(38525,plain,
% 14.90/10.61 (until2p7(s305) | (~xuntil2p8(s304))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38524, 25892, 37571])).
% 14.90/10.61 tff(38526,plain,
% 14.90/10.61 (~xuntil2p8(s304)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38525, 38521])).
% 14.90/10.61 tff(38527,plain,
% 14.90/10.61 (~node4(s304)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[24335, 36, 37145])).
% 14.90/10.61 tff(38528,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s304) | xuntil2p8(s304) | (~until2p7(s304)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s304) | xuntil2p8(s304) | (~until2p7(s304)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38529,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s304) | xuntil2p8(s304) | (~until2p7(s304)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38530,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s304) | xuntil2p8(s304) | (~until2p7(s304))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38529, 38528])).
% 14.90/10.61 tff(38531,plain,
% 14.90/10.61 (xuntil2p8(s304) | (~until2p7(s304))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38530, 37556, 38527])).
% 14.90/10.61 tff(38532,plain,
% 14.90/10.61 (~until2p7(s304)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38531, 38526])).
% 14.90/10.61 tff(38533,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38534,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38535,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38534, 38533])).
% 14.90/10.61 tff(38536,plain,
% 14.90/10.61 (until2p7(s304) | (~xuntil2p8(s303))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38535, 24319, 37571])).
% 14.90/10.61 tff(38537,plain,
% 14.90/10.61 (~xuntil2p8(s303)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38536, 38532])).
% 14.90/10.61 tff(38538,plain,
% 14.90/10.61 (~always3(s303)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[24327, 37145])).
% 14.90/10.61 tff(38539,plain,
% 14.90/10.61 (~node4(s303)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[24331, 36, 38538])).
% 14.90/10.61 tff(38540,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s303) | xuntil2p8(s303) | (~until2p7(s303)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s303) | xuntil2p8(s303) | (~until2p7(s303)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38541,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s303) | xuntil2p8(s303) | (~until2p7(s303)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38542,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s303) | xuntil2p8(s303) | (~until2p7(s303))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38541, 38540])).
% 14.90/10.61 tff(38543,plain,
% 14.90/10.61 (xuntil2p8(s303) | (~until2p7(s303))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38542, 37556, 38539])).
% 14.90/10.61 tff(38544,plain,
% 14.90/10.61 (~until2p7(s303)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38543, 38537])).
% 14.90/10.61 tff(38545,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38546,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38547,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38546, 38545])).
% 14.90/10.61 tff(38548,plain,
% 14.90/10.61 (until2p7(s303) | (~xuntil2p8(s302))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38547, 24353, 37571])).
% 14.90/10.61 tff(38549,plain,
% 14.90/10.61 (~xuntil2p8(s302)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38548, 38544])).
% 14.90/10.61 tff(38550,plain,
% 14.90/10.61 (~always3(s302)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[24366, 38538])).
% 14.90/10.61 tff(38551,plain,
% 14.90/10.61 (~node4(s302)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[24370, 36, 38550])).
% 14.90/10.61 tff(38552,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s302) | xuntil2p8(s302) | (~until2p7(s302)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s302) | xuntil2p8(s302) | (~until2p7(s302)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38553,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s302) | xuntil2p8(s302) | (~until2p7(s302)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38554,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s302) | xuntil2p8(s302) | (~until2p7(s302))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38553, 38552])).
% 14.90/10.61 tff(38555,plain,
% 14.90/10.61 (xuntil2p8(s302) | (~until2p7(s302))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38554, 37556, 38551])).
% 14.90/10.61 tff(38556,plain,
% 14.90/10.61 (~until2p7(s302)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38555, 38549])).
% 14.90/10.61 tff(38557,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38558,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38559,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38558, 38557])).
% 14.90/10.61 tff(38560,plain,
% 14.90/10.61 (until2p7(s302) | (~xuntil2p8(s301))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38559, 23387, 37571])).
% 14.90/10.61 tff(38561,plain,
% 14.90/10.61 (~xuntil2p8(s301)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38560, 38556])).
% 14.90/10.61 tff(38562,plain,
% 14.90/10.61 (~always3(s301)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[23395, 38550])).
% 14.90/10.61 tff(38563,plain,
% 14.90/10.61 (~node4(s301)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22893, 36, 38562])).
% 14.90/10.61 tff(38564,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s301) | xuntil2p8(s301) | (~until2p7(s301)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s301) | xuntil2p8(s301) | (~until2p7(s301)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38565,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s301) | xuntil2p8(s301) | (~until2p7(s301)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38566,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s301) | xuntil2p8(s301) | (~until2p7(s301))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38565, 38564])).
% 14.90/10.61 tff(38567,plain,
% 14.90/10.61 (xuntil2p8(s301) | (~until2p7(s301))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38566, 37556, 38563])).
% 14.90/10.61 tff(38568,plain,
% 14.90/10.61 (~until2p7(s301)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38567, 38561])).
% 14.90/10.61 tff(38569,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38570,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38571,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38570, 38569])).
% 14.90/10.61 tff(38572,plain,
% 14.90/10.61 (until2p7(s301) | (~xuntil2p8(s300))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38571, 22725, 37571])).
% 14.90/10.61 tff(38573,plain,
% 14.90/10.61 (~xuntil2p8(s300)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38572, 38568])).
% 14.90/10.61 tff(38574,plain,
% 14.90/10.61 (~always3(s300)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22733, 38562])).
% 14.90/10.61 tff(38575,plain,
% 14.90/10.61 (~node4(s300)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22889, 36, 38574])).
% 14.90/10.61 tff(38576,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s300) | xuntil2p8(s300) | (~until2p7(s300)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s300) | xuntil2p8(s300) | (~until2p7(s300)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38577,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s300) | xuntil2p8(s300) | (~until2p7(s300)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38578,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s300) | xuntil2p8(s300) | (~until2p7(s300))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38577, 38576])).
% 14.90/10.61 tff(38579,plain,
% 14.90/10.61 (xuntil2p8(s300) | (~until2p7(s300))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38578, 37556, 38575])).
% 14.90/10.61 tff(38580,plain,
% 14.90/10.61 (~until2p7(s300)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38579, 38573])).
% 14.90/10.61 tff(38581,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38582,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38583,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38582, 38581])).
% 14.90/10.61 tff(38584,plain,
% 14.90/10.61 (until2p7(s300) | (~xuntil2p8(s299))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38583, 22737, 37571])).
% 14.90/10.61 tff(38585,plain,
% 14.90/10.61 (~xuntil2p8(s299)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38584, 38580])).
% 14.90/10.61 tff(38586,plain,
% 14.90/10.61 (~always3(s299)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22745, 38574])).
% 14.90/10.61 tff(38587,plain,
% 14.90/10.61 (~node4(s299)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22922, 36, 38586])).
% 14.90/10.61 tff(38588,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s299) | xuntil2p8(s299) | (~until2p7(s299)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s299) | xuntil2p8(s299) | (~until2p7(s299)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38589,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s299) | xuntil2p8(s299) | (~until2p7(s299)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38590,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s299) | xuntil2p8(s299) | (~until2p7(s299))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38589, 38588])).
% 14.90/10.61 tff(38591,plain,
% 14.90/10.61 (xuntil2p8(s299) | (~until2p7(s299))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38590, 37556, 38587])).
% 14.90/10.61 tff(38592,plain,
% 14.90/10.61 (~until2p7(s299)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38591, 38585])).
% 14.90/10.61 tff(38593,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38594,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38595,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38594, 38593])).
% 14.90/10.61 tff(38596,plain,
% 14.90/10.61 (until2p7(s299) | (~xuntil2p8(s298))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38595, 22749, 37571])).
% 14.90/10.61 tff(38597,plain,
% 14.90/10.61 (~xuntil2p8(s298)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38596, 38592])).
% 14.90/10.61 tff(38598,plain,
% 14.90/10.61 (~always3(s298)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22757, 38586])).
% 14.90/10.61 tff(38599,plain,
% 14.90/10.61 (~node4(s298)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22939, 36, 38598])).
% 14.90/10.61 tff(38600,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s298) | xuntil2p8(s298) | (~until2p7(s298)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s298) | xuntil2p8(s298) | (~until2p7(s298)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38601,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s298) | xuntil2p8(s298) | (~until2p7(s298)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38602,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s298) | xuntil2p8(s298) | (~until2p7(s298))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38601, 38600])).
% 14.90/10.61 tff(38603,plain,
% 14.90/10.61 (xuntil2p8(s298) | (~until2p7(s298))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38602, 37556, 38599])).
% 14.90/10.61 tff(38604,plain,
% 14.90/10.61 (~until2p7(s298)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38603, 38597])).
% 14.90/10.61 tff(38605,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38606,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38607,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38606, 38605])).
% 14.90/10.61 tff(38608,plain,
% 14.90/10.61 (until2p7(s298) | (~xuntil2p8(s297))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38607, 22761, 37571])).
% 14.90/10.61 tff(38609,plain,
% 14.90/10.61 (~xuntil2p8(s297)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38608, 38604])).
% 14.90/10.61 tff(38610,plain,
% 14.90/10.61 (~always3(s297)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22769, 38598])).
% 14.90/10.61 tff(38611,plain,
% 14.90/10.61 (~node4(s297)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22956, 36, 38610])).
% 14.90/10.61 tff(38612,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s297) | xuntil2p8(s297) | (~until2p7(s297)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s297) | xuntil2p8(s297) | (~until2p7(s297)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38613,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s297) | xuntil2p8(s297) | (~until2p7(s297)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38614,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s297) | xuntil2p8(s297) | (~until2p7(s297))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38613, 38612])).
% 14.90/10.61 tff(38615,plain,
% 14.90/10.61 (xuntil2p8(s297) | (~until2p7(s297))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38614, 37556, 38611])).
% 14.90/10.61 tff(38616,plain,
% 14.90/10.61 (~until2p7(s297)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38615, 38609])).
% 14.90/10.61 tff(38617,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38618,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38619,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38618, 38617])).
% 14.90/10.61 tff(38620,plain,
% 14.90/10.61 (until2p7(s297) | (~xuntil2p8(s296))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38619, 22773, 37571])).
% 14.90/10.61 tff(38621,plain,
% 14.90/10.61 (~xuntil2p8(s296)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38620, 38616])).
% 14.90/10.61 tff(38622,plain,
% 14.90/10.61 (~always3(s296)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22781, 38610])).
% 14.90/10.61 tff(38623,plain,
% 14.90/10.61 (~node4(s296)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[23058, 36, 38622])).
% 14.90/10.61 tff(38624,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s296) | xuntil2p8(s296) | (~until2p7(s296)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s296) | xuntil2p8(s296) | (~until2p7(s296)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38625,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s296) | xuntil2p8(s296) | (~until2p7(s296)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38626,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s296) | xuntil2p8(s296) | (~until2p7(s296))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38625, 38624])).
% 14.90/10.61 tff(38627,plain,
% 14.90/10.61 (xuntil2p8(s296) | (~until2p7(s296))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38626, 37556, 38623])).
% 14.90/10.61 tff(38628,plain,
% 14.90/10.61 (~until2p7(s296)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38627, 38621])).
% 14.90/10.61 tff(38629,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38630,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38631,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38630, 38629])).
% 14.90/10.61 tff(38632,plain,
% 14.90/10.61 (until2p7(s296) | (~xuntil2p8(s295))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38631, 22785, 37571])).
% 14.90/10.61 tff(38633,plain,
% 14.90/10.61 (~xuntil2p8(s295)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38632, 38628])).
% 14.90/10.61 tff(38634,plain,
% 14.90/10.61 (~always3(s295)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22793, 38622])).
% 14.90/10.61 tff(38635,plain,
% 14.90/10.61 (~node4(s295)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[23041, 36, 38634])).
% 14.90/10.61 tff(38636,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s295) | xuntil2p8(s295) | (~until2p7(s295)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s295) | xuntil2p8(s295) | (~until2p7(s295)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38637,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s295) | xuntil2p8(s295) | (~until2p7(s295)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38638,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s295) | xuntil2p8(s295) | (~until2p7(s295))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38637, 38636])).
% 14.90/10.61 tff(38639,plain,
% 14.90/10.61 (xuntil2p8(s295) | (~until2p7(s295))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38638, 37556, 38635])).
% 14.90/10.61 tff(38640,plain,
% 14.90/10.61 (~until2p7(s295)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38639, 38633])).
% 14.90/10.61 tff(38641,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38642,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38643,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38642, 38641])).
% 14.90/10.61 tff(38644,plain,
% 14.90/10.61 (until2p7(s295) | (~xuntil2p8(s294))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38643, 22797, 37571])).
% 14.90/10.61 tff(38645,plain,
% 14.90/10.61 (~xuntil2p8(s294)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38644, 38640])).
% 14.90/10.61 tff(38646,plain,
% 14.90/10.61 (~always3(s294)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22805, 38634])).
% 14.90/10.61 tff(38647,plain,
% 14.90/10.61 (~node4(s294)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[23024, 36, 38646])).
% 14.90/10.61 tff(38648,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s294) | xuntil2p8(s294) | (~until2p7(s294)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s294) | xuntil2p8(s294) | (~until2p7(s294)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38649,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s294) | xuntil2p8(s294) | (~until2p7(s294)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38650,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s294) | xuntil2p8(s294) | (~until2p7(s294))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38649, 38648])).
% 14.90/10.61 tff(38651,plain,
% 14.90/10.61 (xuntil2p8(s294) | (~until2p7(s294))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38650, 37556, 38647])).
% 14.90/10.61 tff(38652,plain,
% 14.90/10.61 (~until2p7(s294)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38651, 38645])).
% 14.90/10.61 tff(38653,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38654,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38655,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38654, 38653])).
% 14.90/10.61 tff(38656,plain,
% 14.90/10.61 (until2p7(s294) | (~xuntil2p8(s293))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38655, 22809, 37571])).
% 14.90/10.61 tff(38657,plain,
% 14.90/10.61 (~xuntil2p8(s293)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38656, 38652])).
% 14.90/10.61 tff(38658,plain,
% 14.90/10.61 (~always3(s293)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22817, 38646])).
% 14.90/10.61 tff(38659,plain,
% 14.90/10.61 (~node4(s293)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[23007, 36, 38658])).
% 14.90/10.61 tff(38660,plain,
% 14.90/10.61 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s293) | xuntil2p8(s293) | (~until2p7(s293)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s293) | xuntil2p8(s293) | (~until2p7(s293)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38661,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s293) | xuntil2p8(s293) | (~until2p7(s293)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38662,plain,
% 14.90/10.61 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s293) | xuntil2p8(s293) | (~until2p7(s293))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38661, 38660])).
% 14.90/10.61 tff(38663,plain,
% 14.90/10.61 (xuntil2p8(s293) | (~until2p7(s293))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38662, 37556, 38659])).
% 14.90/10.61 tff(38664,plain,
% 14.90/10.61 (~until2p7(s293)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38663, 38657])).
% 14.90/10.61 tff(38665,plain,
% 14.90/10.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292)))),
% 14.90/10.61 inference(rewrite,[status(thm)],[])).
% 14.90/10.61 tff(38666,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292)))),
% 14.90/10.61 inference(quant_inst,[status(thm)],[])).
% 14.90/10.61 tff(38667,plain,
% 14.90/10.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292))),
% 14.90/10.61 inference(modus_ponens,[status(thm)],[38666, 38665])).
% 14.90/10.61 tff(38668,plain,
% 14.90/10.61 (until2p7(s293) | (~xuntil2p8(s292))),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38667, 22821, 37571])).
% 14.90/10.61 tff(38669,plain,
% 14.90/10.61 (~xuntil2p8(s292)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[38668, 38664])).
% 14.90/10.61 tff(38670,plain,
% 14.90/10.61 (~always3(s292)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22829, 38658])).
% 14.90/10.61 tff(38671,plain,
% 14.90/10.61 (~node4(s292)),
% 14.90/10.61 inference(unit_resolution,[status(thm)],[22973, 36, 38670])).
% 14.90/10.62 tff(38672,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s292) | xuntil2p8(s292) | (~until2p7(s292)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s292) | xuntil2p8(s292) | (~until2p7(s292)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38673,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s292) | xuntil2p8(s292) | (~until2p7(s292)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38674,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s292) | xuntil2p8(s292) | (~until2p7(s292))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38673, 38672])).
% 14.90/10.62 tff(38675,plain,
% 14.90/10.62 (xuntil2p8(s292) | (~until2p7(s292))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38674, 37556, 38671])).
% 14.90/10.62 tff(38676,plain,
% 14.90/10.62 (~until2p7(s292)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38675, 38669])).
% 14.90/10.62 tff(38677,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38678,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38679,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38678, 38677])).
% 14.90/10.62 tff(38680,plain,
% 14.90/10.62 (until2p7(s292) | (~xuntil2p8(s291))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38679, 22833, 37571])).
% 14.90/10.62 tff(38681,plain,
% 14.90/10.62 (~xuntil2p8(s291)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38680, 38676])).
% 14.90/10.62 tff(38682,plain,
% 14.90/10.62 (~always3(s291)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[22841, 38670])).
% 14.90/10.62 tff(38683,plain,
% 14.90/10.62 (~node4(s291)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[22977, 36, 38682])).
% 14.90/10.62 tff(38684,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s291) | xuntil2p8(s291) | (~until2p7(s291)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s291) | xuntil2p8(s291) | (~until2p7(s291)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38685,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s291) | xuntil2p8(s291) | (~until2p7(s291)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38686,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s291) | xuntil2p8(s291) | (~until2p7(s291))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38685, 38684])).
% 14.90/10.62 tff(38687,plain,
% 14.90/10.62 (xuntil2p8(s291) | (~until2p7(s291))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38686, 37556, 38683])).
% 14.90/10.62 tff(38688,plain,
% 14.90/10.62 (~until2p7(s291)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38687, 38681])).
% 14.90/10.62 tff(38689,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38690,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38691,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38690, 38689])).
% 14.90/10.62 tff(38692,plain,
% 14.90/10.62 (until2p7(s291) | (~xuntil2p8(s290))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38691, 22845, 37571])).
% 14.90/10.62 tff(38693,plain,
% 14.90/10.62 (~xuntil2p8(s290)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38692, 38688])).
% 14.90/10.62 tff(38694,plain,
% 14.90/10.62 (~always3(s290)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[22853, 38682])).
% 14.90/10.62 tff(38695,plain,
% 14.90/10.62 (~node4(s290)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[22885, 36, 38694])).
% 14.90/10.62 tff(38696,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s290) | xuntil2p8(s290) | (~until2p7(s290)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s290) | xuntil2p8(s290) | (~until2p7(s290)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38697,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s290) | xuntil2p8(s290) | (~until2p7(s290)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38698,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s290) | xuntil2p8(s290) | (~until2p7(s290))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38697, 38696])).
% 14.90/10.62 tff(38699,plain,
% 14.90/10.62 (xuntil2p8(s290) | (~until2p7(s290))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38698, 37556, 38695])).
% 14.90/10.62 tff(38700,plain,
% 14.90/10.62 (~until2p7(s290)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38699, 38693])).
% 14.90/10.62 tff(38701,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38702,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38703,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38702, 38701])).
% 14.90/10.62 tff(38704,plain,
% 14.90/10.62 (until2p7(s290) | (~xuntil2p8(s289))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38703, 22857, 37571])).
% 14.90/10.62 tff(38705,plain,
% 14.90/10.62 (~xuntil2p8(s289)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38704, 38700])).
% 14.90/10.62 tff(38706,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s289) | xuntil2p8(s289) | (~until2p7(s289)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s289) | xuntil2p8(s289) | (~until2p7(s289)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38707,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s289) | xuntil2p8(s289) | (~until2p7(s289)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38708,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s289) | xuntil2p8(s289) | (~until2p7(s289))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38707, 38706])).
% 14.90/10.62 tff(38709,plain,
% 14.90/10.62 (xuntil2p8(s289) | (~until2p7(s289))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38708, 37556, 23124])).
% 14.90/10.62 tff(38710,plain,
% 14.90/10.62 (~until2p7(s289)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38709, 38705])).
% 14.90/10.62 tff(38711,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38712,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38713,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38712, 38711])).
% 14.90/10.62 tff(38714,plain,
% 14.90/10.62 (until2p7(s289) | (~xuntil2p8(s288))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38713, 22869, 37571])).
% 14.90/10.62 tff(38715,plain,
% 14.90/10.62 (~xuntil2p8(s288)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38714, 38710])).
% 14.90/10.62 tff(38716,plain,
% 14.90/10.62 (~always3(s289)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[22865, 38694])).
% 14.90/10.62 tff(38717,plain,
% 14.90/10.62 (~always3(s288)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[22877, 38716])).
% 14.90/10.62 tff(38718,plain,
% 14.90/10.62 (~node4(s288)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[22881, 36, 38717])).
% 14.90/10.62 tff(38719,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s288) | xuntil2p8(s288) | (~until2p7(s288)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s288) | xuntil2p8(s288) | (~until2p7(s288)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38720,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s288) | xuntil2p8(s288) | (~until2p7(s288)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38721,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s288) | xuntil2p8(s288) | (~until2p7(s288))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38720, 38719])).
% 14.90/10.62 tff(38722,plain,
% 14.90/10.62 (xuntil2p8(s288) | (~until2p7(s288))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38721, 37556, 38718])).
% 14.90/10.62 tff(38723,plain,
% 14.90/10.62 (~until2p7(s288)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38722, 38715])).
% 14.90/10.62 tff(38724,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38725,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38726,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38725, 38724])).
% 14.90/10.62 tff(38727,plain,
% 14.90/10.62 (until2p7(s288) | (~xuntil2p8(s287))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38726, 23147, 37571])).
% 14.90/10.62 tff(38728,plain,
% 14.90/10.62 (~xuntil2p8(s287)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38727, 38723])).
% 14.90/10.62 tff(38729,plain,
% 14.90/10.62 (~always3(s287)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23160, 38717])).
% 14.90/10.62 tff(38730,plain,
% 14.90/10.62 (~node4(s287)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23164, 36, 38729])).
% 14.90/10.62 tff(38731,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s287) | xuntil2p8(s287) | (~until2p7(s287)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s287) | xuntil2p8(s287) | (~until2p7(s287)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38732,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s287) | xuntil2p8(s287) | (~until2p7(s287)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38733,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s287) | xuntil2p8(s287) | (~until2p7(s287))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38732, 38731])).
% 14.90/10.62 tff(38734,plain,
% 14.90/10.62 (xuntil2p8(s287) | (~until2p7(s287))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38733, 37556, 38730])).
% 14.90/10.62 tff(38735,plain,
% 14.90/10.62 (~until2p7(s287)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38734, 38728])).
% 14.90/10.62 tff(38736,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38737,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38738,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38737, 38736])).
% 14.90/10.62 tff(38739,plain,
% 14.90/10.62 (until2p7(s287) | (~xuntil2p8(s286))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38738, 23176, 37571])).
% 14.90/10.62 tff(38740,plain,
% 14.90/10.62 (~xuntil2p8(s286)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38739, 38735])).
% 14.90/10.62 tff(38741,plain,
% 14.90/10.62 (~always3(s286)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23189, 38729])).
% 14.90/10.62 tff(38742,plain,
% 14.90/10.62 (~node4(s286)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23193, 36, 38741])).
% 14.90/10.62 tff(38743,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s286) | xuntil2p8(s286) | (~until2p7(s286)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s286) | xuntil2p8(s286) | (~until2p7(s286)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38744,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s286) | xuntil2p8(s286) | (~until2p7(s286)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38745,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s286) | xuntil2p8(s286) | (~until2p7(s286))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38744, 38743])).
% 14.90/10.62 tff(38746,plain,
% 14.90/10.62 (xuntil2p8(s286) | (~until2p7(s286))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38745, 37556, 38742])).
% 14.90/10.62 tff(38747,plain,
% 14.90/10.62 (~until2p7(s286)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38746, 38740])).
% 14.90/10.62 tff(38748,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38749,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38750,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38749, 38748])).
% 14.90/10.62 tff(38751,plain,
% 14.90/10.62 (until2p7(s286) | (~xuntil2p8(s285))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38750, 23205, 37571])).
% 14.90/10.62 tff(38752,plain,
% 14.90/10.62 (~xuntil2p8(s285)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38751, 38747])).
% 14.90/10.62 tff(38753,plain,
% 14.90/10.62 (~always3(s285)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23218, 38741])).
% 14.90/10.62 tff(38754,plain,
% 14.90/10.62 (~node4(s285)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23337, 36, 38753])).
% 14.90/10.62 tff(38755,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s285) | xuntil2p8(s285) | (~until2p7(s285)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s285) | xuntil2p8(s285) | (~until2p7(s285)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38756,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s285) | xuntil2p8(s285) | (~until2p7(s285)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38757,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s285) | xuntil2p8(s285) | (~until2p7(s285))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38756, 38755])).
% 14.90/10.62 tff(38758,plain,
% 14.90/10.62 (xuntil2p8(s285) | (~until2p7(s285))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38757, 37556, 38754])).
% 14.90/10.62 tff(38759,plain,
% 14.90/10.62 (~until2p7(s285)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38758, 38752])).
% 14.90/10.62 tff(38760,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38761,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38762,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38761, 38760])).
% 14.90/10.62 tff(38763,plain,
% 14.90/10.62 (until2p7(s285) | (~xuntil2p8(s284))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38762, 23222, 37571])).
% 14.90/10.62 tff(38764,plain,
% 14.90/10.62 (~xuntil2p8(s284)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38763, 38759])).
% 14.90/10.62 tff(38765,plain,
% 14.90/10.62 (~always3(s284)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23230, 38753])).
% 14.90/10.62 tff(38766,plain,
% 14.90/10.62 (~node4(s284)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23320, 36, 38765])).
% 14.90/10.62 tff(38767,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s284) | xuntil2p8(s284) | (~until2p7(s284)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s284) | xuntil2p8(s284) | (~until2p7(s284)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38768,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s284) | xuntil2p8(s284) | (~until2p7(s284)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38769,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s284) | xuntil2p8(s284) | (~until2p7(s284))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38768, 38767])).
% 14.90/10.62 tff(38770,plain,
% 14.90/10.62 (xuntil2p8(s284) | (~until2p7(s284))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38769, 37556, 38766])).
% 14.90/10.62 tff(38771,plain,
% 14.90/10.62 (~until2p7(s284)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38770, 38764])).
% 14.90/10.62 tff(38772,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38773,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38774,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38773, 38772])).
% 14.90/10.62 tff(38775,plain,
% 14.90/10.62 (until2p7(s284) | (~xuntil2p8(s283))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38774, 23234, 37571])).
% 14.90/10.62 tff(38776,plain,
% 14.90/10.62 (~xuntil2p8(s283)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38775, 38771])).
% 14.90/10.62 tff(38777,plain,
% 14.90/10.62 (~always3(s283)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23242, 38765])).
% 14.90/10.62 tff(38778,plain,
% 14.90/10.62 (~node4(s283)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23303, 36, 38777])).
% 14.90/10.62 tff(38779,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s283) | xuntil2p8(s283) | (~until2p7(s283)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s283) | xuntil2p8(s283) | (~until2p7(s283)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38780,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s283) | xuntil2p8(s283) | (~until2p7(s283)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38781,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s283) | xuntil2p8(s283) | (~until2p7(s283))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38780, 38779])).
% 14.90/10.62 tff(38782,plain,
% 14.90/10.62 (xuntil2p8(s283) | (~until2p7(s283))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38781, 37556, 38778])).
% 14.90/10.62 tff(38783,plain,
% 14.90/10.62 (~until2p7(s283)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38782, 38776])).
% 14.90/10.62 tff(38784,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38785,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38786,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38785, 38784])).
% 14.90/10.62 tff(38787,plain,
% 14.90/10.62 (until2p7(s283) | (~xuntil2p8(s282))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38786, 23246, 37571])).
% 14.90/10.62 tff(38788,plain,
% 14.90/10.62 (~xuntil2p8(s282)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38787, 38783])).
% 14.90/10.62 tff(38789,plain,
% 14.90/10.62 (~always3(s282)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23254, 38777])).
% 14.90/10.62 tff(38790,plain,
% 14.90/10.62 (~node4(s282)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23258, 36, 38789])).
% 14.90/10.62 tff(38791,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s282) | xuntil2p8(s282) | (~until2p7(s282)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s282) | xuntil2p8(s282) | (~until2p7(s282)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38792,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s282) | xuntil2p8(s282) | (~until2p7(s282)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38793,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s282) | xuntil2p8(s282) | (~until2p7(s282))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38792, 38791])).
% 14.90/10.62 tff(38794,plain,
% 14.90/10.62 (xuntil2p8(s282) | (~until2p7(s282))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38793, 37556, 38790])).
% 14.90/10.62 tff(38795,plain,
% 14.90/10.62 (~until2p7(s282)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38794, 38788])).
% 14.90/10.62 tff(38796,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38797,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38798,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38797, 38796])).
% 14.90/10.62 tff(38799,plain,
% 14.90/10.62 (until2p7(s282) | (~xuntil2p8(s281))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38798, 23262, 37571])).
% 14.90/10.62 tff(38800,plain,
% 14.90/10.62 (~xuntil2p8(s281)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38799, 38795])).
% 14.90/10.62 tff(38801,plain,
% 14.90/10.62 (~always3(s281)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23270, 38789])).
% 14.90/10.62 tff(38802,plain,
% 14.90/10.62 (~node4(s281)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[23274, 36, 38801])).
% 14.90/10.62 tff(38803,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s281) | xuntil2p8(s281) | (~until2p7(s281)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s281) | xuntil2p8(s281) | (~until2p7(s281)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38804,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s281) | xuntil2p8(s281) | (~until2p7(s281)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38805,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s281) | xuntil2p8(s281) | (~until2p7(s281))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38804, 38803])).
% 14.90/10.62 tff(38806,plain,
% 14.90/10.62 (xuntil2p8(s281) | (~until2p7(s281))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38805, 37556, 38802])).
% 14.90/10.62 tff(38807,plain,
% 14.90/10.62 (~until2p7(s281)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38806, 38800])).
% 14.90/10.62 tff(38808,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38809,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38810,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38809, 38808])).
% 14.90/10.62 tff(38811,plain,
% 14.90/10.62 (until2p7(s281) | (~xuntil2p8(s280))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38810, 21114, 37571])).
% 14.90/10.62 tff(38812,plain,
% 14.90/10.62 (~xuntil2p8(s280)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38811, 38807])).
% 14.90/10.62 tff(38813,plain,
% 14.90/10.62 (~always3(s280)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[21122, 38801])).
% 14.90/10.62 tff(38814,plain,
% 14.90/10.62 (~node4(s280)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20009, 36, 38813])).
% 14.90/10.62 tff(38815,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s280) | xuntil2p8(s280) | (~until2p7(s280)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s280) | xuntil2p8(s280) | (~until2p7(s280)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38816,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s280) | xuntil2p8(s280) | (~until2p7(s280)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38817,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s280) | xuntil2p8(s280) | (~until2p7(s280))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38816, 38815])).
% 14.90/10.62 tff(38818,plain,
% 14.90/10.62 (xuntil2p8(s280) | (~until2p7(s280))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38817, 37556, 38814])).
% 14.90/10.62 tff(38819,plain,
% 14.90/10.62 (~until2p7(s280)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38818, 38812])).
% 14.90/10.62 tff(38820,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38821,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38822,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38821, 38820])).
% 14.90/10.62 tff(38823,plain,
% 14.90/10.62 (until2p7(s280) | (~xuntil2p8(s279))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38822, 19993, 37571])).
% 14.90/10.62 tff(38824,plain,
% 14.90/10.62 (~xuntil2p8(s279)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38823, 38819])).
% 14.90/10.62 tff(38825,plain,
% 14.90/10.62 (~always3(s279)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20001, 38813])).
% 14.90/10.62 tff(38826,plain,
% 14.90/10.62 (~node4(s279)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20005, 36, 38825])).
% 14.90/10.62 tff(38827,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s279) | xuntil2p8(s279) | (~until2p7(s279)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s279) | xuntil2p8(s279) | (~until2p7(s279)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38828,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s279) | xuntil2p8(s279) | (~until2p7(s279)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38829,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s279) | xuntil2p8(s279) | (~until2p7(s279))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38828, 38827])).
% 14.90/10.62 tff(38830,plain,
% 14.90/10.62 (xuntil2p8(s279) | (~until2p7(s279))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38829, 37556, 38826])).
% 14.90/10.62 tff(38831,plain,
% 14.90/10.62 (~until2p7(s279)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38830, 38824])).
% 14.90/10.62 tff(38832,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38833,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38834,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38833, 38832])).
% 14.90/10.62 tff(38835,plain,
% 14.90/10.62 (until2p7(s279) | (~xuntil2p8(s278))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38834, 20033, 37571])).
% 14.90/10.62 tff(38836,plain,
% 14.90/10.62 (~xuntil2p8(s278)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38835, 38831])).
% 14.90/10.62 tff(38837,plain,
% 14.90/10.62 (~always3(s278)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20046, 38825])).
% 14.90/10.62 tff(38838,plain,
% 14.90/10.62 (~node4(s278)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20050, 36, 38837])).
% 14.90/10.62 tff(38839,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s278) | xuntil2p8(s278) | (~until2p7(s278)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s278) | xuntil2p8(s278) | (~until2p7(s278)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38840,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s278) | xuntil2p8(s278) | (~until2p7(s278)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38841,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s278) | xuntil2p8(s278) | (~until2p7(s278))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38840, 38839])).
% 14.90/10.62 tff(38842,plain,
% 14.90/10.62 (xuntil2p8(s278) | (~until2p7(s278))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38841, 37556, 38838])).
% 14.90/10.62 tff(38843,plain,
% 14.90/10.62 (~until2p7(s278)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38842, 38836])).
% 14.90/10.62 tff(38844,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38845,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38846,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38845, 38844])).
% 14.90/10.62 tff(38847,plain,
% 14.90/10.62 (until2p7(s278) | (~xuntil2p8(s277))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38846, 20062, 37571])).
% 14.90/10.62 tff(38848,plain,
% 14.90/10.62 (~xuntil2p8(s277)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38847, 38843])).
% 14.90/10.62 tff(38849,plain,
% 14.90/10.62 (~always3(s277)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20075, 38837])).
% 14.90/10.62 tff(38850,plain,
% 14.90/10.62 (~node4(s277)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20079, 36, 38849])).
% 14.90/10.62 tff(38851,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s277) | xuntil2p8(s277) | (~until2p7(s277)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s277) | xuntil2p8(s277) | (~until2p7(s277)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38852,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s277) | xuntil2p8(s277) | (~until2p7(s277)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38853,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s277) | xuntil2p8(s277) | (~until2p7(s277))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38852, 38851])).
% 14.90/10.62 tff(38854,plain,
% 14.90/10.62 (xuntil2p8(s277) | (~until2p7(s277))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38853, 37556, 38850])).
% 14.90/10.62 tff(38855,plain,
% 14.90/10.62 (~until2p7(s277)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38854, 38848])).
% 14.90/10.62 tff(38856,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38857,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38858,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38857, 38856])).
% 14.90/10.62 tff(38859,plain,
% 14.90/10.62 (until2p7(s277) | (~xuntil2p8(s276))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38858, 20091, 37571])).
% 14.90/10.62 tff(38860,plain,
% 14.90/10.62 (~xuntil2p8(s276)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38859, 38855])).
% 14.90/10.62 tff(38861,plain,
% 14.90/10.62 (~always3(s276)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20104, 38849])).
% 14.90/10.62 tff(38862,plain,
% 14.90/10.62 (~node4(s276)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20108, 36, 38861])).
% 14.90/10.62 tff(38863,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s276) | xuntil2p8(s276) | (~until2p7(s276)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s276) | xuntil2p8(s276) | (~until2p7(s276)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38864,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s276) | xuntil2p8(s276) | (~until2p7(s276)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38865,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s276) | xuntil2p8(s276) | (~until2p7(s276))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38864, 38863])).
% 14.90/10.62 tff(38866,plain,
% 14.90/10.62 (xuntil2p8(s276) | (~until2p7(s276))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38865, 37556, 38862])).
% 14.90/10.62 tff(38867,plain,
% 14.90/10.62 (~until2p7(s276)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38866, 38860])).
% 14.90/10.62 tff(38868,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38869,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38870,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38869, 38868])).
% 14.90/10.62 tff(38871,plain,
% 14.90/10.62 (until2p7(s276) | (~xuntil2p8(s275))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38870, 20120, 37571])).
% 14.90/10.62 tff(38872,plain,
% 14.90/10.62 (~xuntil2p8(s275)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38871, 38867])).
% 14.90/10.62 tff(38873,plain,
% 14.90/10.62 (~always3(s275)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20133, 38861])).
% 14.90/10.62 tff(38874,plain,
% 14.90/10.62 (~node4(s275)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20137, 36, 38873])).
% 14.90/10.62 tff(38875,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s275) | xuntil2p8(s275) | (~until2p7(s275)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s275) | xuntil2p8(s275) | (~until2p7(s275)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38876,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s275) | xuntil2p8(s275) | (~until2p7(s275)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38877,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s275) | xuntil2p8(s275) | (~until2p7(s275))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38876, 38875])).
% 14.90/10.62 tff(38878,plain,
% 14.90/10.62 (xuntil2p8(s275) | (~until2p7(s275))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38877, 37556, 38874])).
% 14.90/10.62 tff(38879,plain,
% 14.90/10.62 (~until2p7(s275)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38878, 38872])).
% 14.90/10.62 tff(38880,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38881,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38882,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38881, 38880])).
% 14.90/10.62 tff(38883,plain,
% 14.90/10.62 (until2p7(s275) | (~xuntil2p8(s274))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38882, 20149, 37571])).
% 14.90/10.62 tff(38884,plain,
% 14.90/10.62 (~xuntil2p8(s274)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38883, 38879])).
% 14.90/10.62 tff(38885,plain,
% 14.90/10.62 (~always3(s274)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20162, 38873])).
% 14.90/10.62 tff(38886,plain,
% 14.90/10.62 (~node4(s274)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20166, 36, 38885])).
% 14.90/10.62 tff(38887,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s274) | xuntil2p8(s274) | (~until2p7(s274)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s274) | xuntil2p8(s274) | (~until2p7(s274)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38888,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s274) | xuntil2p8(s274) | (~until2p7(s274)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38889,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s274) | xuntil2p8(s274) | (~until2p7(s274))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38888, 38887])).
% 14.90/10.62 tff(38890,plain,
% 14.90/10.62 (xuntil2p8(s274) | (~until2p7(s274))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38889, 37556, 38886])).
% 14.90/10.62 tff(38891,plain,
% 14.90/10.62 (~until2p7(s274)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38890, 38884])).
% 14.90/10.62 tff(38892,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38893,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38894,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38893, 38892])).
% 14.90/10.62 tff(38895,plain,
% 14.90/10.62 (until2p7(s274) | (~xuntil2p8(s273))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38894, 20178, 37571])).
% 14.90/10.62 tff(38896,plain,
% 14.90/10.62 (~xuntil2p8(s273)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38895, 38891])).
% 14.90/10.62 tff(38897,plain,
% 14.90/10.62 (~always3(s273)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20191, 38885])).
% 14.90/10.62 tff(38898,plain,
% 14.90/10.62 (~node4(s273)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[20195, 36, 38897])).
% 14.90/10.62 tff(38899,plain,
% 14.90/10.62 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s273) | xuntil2p8(s273) | (~until2p7(s273)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s273) | xuntil2p8(s273) | (~until2p7(s273)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38900,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s273) | xuntil2p8(s273) | (~until2p7(s273)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38901,plain,
% 14.90/10.62 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s273) | xuntil2p8(s273) | (~until2p7(s273))),
% 14.90/10.62 inference(modus_ponens,[status(thm)],[38900, 38899])).
% 14.90/10.62 tff(38902,plain,
% 14.90/10.62 (xuntil2p8(s273) | (~until2p7(s273))),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38901, 37556, 38898])).
% 14.90/10.62 tff(38903,plain,
% 14.90/10.62 (~until2p7(s273)),
% 14.90/10.62 inference(unit_resolution,[status(thm)],[38902, 38896])).
% 14.90/10.62 tff(38904,plain,
% 14.90/10.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272)))),
% 14.90/10.62 inference(rewrite,[status(thm)],[])).
% 14.90/10.62 tff(38905,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272)))),
% 14.90/10.62 inference(quant_inst,[status(thm)],[])).
% 14.90/10.62 tff(38906,plain,
% 14.90/10.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38905, 38904])).
% 14.90/10.63 tff(38907,plain,
% 14.90/10.63 (until2p7(s273) | (~xuntil2p8(s272))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38906, 20207, 37571])).
% 14.90/10.63 tff(38908,plain,
% 14.90/10.63 (~xuntil2p8(s272)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38907, 38903])).
% 14.90/10.63 tff(38909,plain,
% 14.90/10.63 (~always3(s272)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20220, 38897])).
% 14.90/10.63 tff(38910,plain,
% 14.90/10.63 (~node4(s272)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20224, 36, 38909])).
% 14.90/10.63 tff(38911,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s272) | xuntil2p8(s272) | (~until2p7(s272)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s272) | xuntil2p8(s272) | (~until2p7(s272)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38912,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s272) | xuntil2p8(s272) | (~until2p7(s272)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38913,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s272) | xuntil2p8(s272) | (~until2p7(s272))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38912, 38911])).
% 14.90/10.63 tff(38914,plain,
% 14.90/10.63 (xuntil2p8(s272) | (~until2p7(s272))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38913, 37556, 38910])).
% 14.90/10.63 tff(38915,plain,
% 14.90/10.63 (~until2p7(s272)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38914, 38908])).
% 14.90/10.63 tff(38916,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38917,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38918,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38917, 38916])).
% 14.90/10.63 tff(38919,plain,
% 14.90/10.63 (until2p7(s272) | (~xuntil2p8(s271))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38918, 20236, 37571])).
% 14.90/10.63 tff(38920,plain,
% 14.90/10.63 (~xuntil2p8(s271)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38919, 38915])).
% 14.90/10.63 tff(38921,plain,
% 14.90/10.63 (~always3(s271)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20249, 38909])).
% 14.90/10.63 tff(38922,plain,
% 14.90/10.63 (~node4(s271)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20253, 36, 38921])).
% 14.90/10.63 tff(38923,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s271) | xuntil2p8(s271) | (~until2p7(s271)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s271) | xuntil2p8(s271) | (~until2p7(s271)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38924,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s271) | xuntil2p8(s271) | (~until2p7(s271)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38925,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s271) | xuntil2p8(s271) | (~until2p7(s271))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38924, 38923])).
% 14.90/10.63 tff(38926,plain,
% 14.90/10.63 (xuntil2p8(s271) | (~until2p7(s271))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38925, 37556, 38922])).
% 14.90/10.63 tff(38927,plain,
% 14.90/10.63 (~until2p7(s271)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38926, 38920])).
% 14.90/10.63 tff(38928,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38929,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38930,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38929, 38928])).
% 14.90/10.63 tff(38931,plain,
% 14.90/10.63 (until2p7(s271) | (~xuntil2p8(s270))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38930, 20265, 37571])).
% 14.90/10.63 tff(38932,plain,
% 14.90/10.63 (~xuntil2p8(s270)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38931, 38927])).
% 14.90/10.63 tff(38933,plain,
% 14.90/10.63 (~always3(s270)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20278, 38921])).
% 14.90/10.63 tff(38934,plain,
% 14.90/10.63 (~node4(s270)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20282, 36, 38933])).
% 14.90/10.63 tff(38935,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s270) | xuntil2p8(s270) | (~until2p7(s270)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s270) | xuntil2p8(s270) | (~until2p7(s270)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38936,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s270) | xuntil2p8(s270) | (~until2p7(s270)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38937,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s270) | xuntil2p8(s270) | (~until2p7(s270))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38936, 38935])).
% 14.90/10.63 tff(38938,plain,
% 14.90/10.63 (xuntil2p8(s270) | (~until2p7(s270))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38937, 37556, 38934])).
% 14.90/10.63 tff(38939,plain,
% 14.90/10.63 (~until2p7(s270)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38938, 38932])).
% 14.90/10.63 tff(38940,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38941,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38942,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38941, 38940])).
% 14.90/10.63 tff(38943,plain,
% 14.90/10.63 (until2p7(s270) | (~xuntil2p8(s269))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38942, 20294, 37571])).
% 14.90/10.63 tff(38944,plain,
% 14.90/10.63 (~xuntil2p8(s269)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38943, 38939])).
% 14.90/10.63 tff(38945,plain,
% 14.90/10.63 (~always3(s269)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20307, 38933])).
% 14.90/10.63 tff(38946,plain,
% 14.90/10.63 (~node4(s269)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20311, 36, 38945])).
% 14.90/10.63 tff(38947,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s269) | xuntil2p8(s269) | (~until2p7(s269)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s269) | xuntil2p8(s269) | (~until2p7(s269)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38948,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s269) | xuntil2p8(s269) | (~until2p7(s269)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38949,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s269) | xuntil2p8(s269) | (~until2p7(s269))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38948, 38947])).
% 14.90/10.63 tff(38950,plain,
% 14.90/10.63 (xuntil2p8(s269) | (~until2p7(s269))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38949, 37556, 38946])).
% 14.90/10.63 tff(38951,plain,
% 14.90/10.63 (~until2p7(s269)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38950, 38944])).
% 14.90/10.63 tff(38952,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38953,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38954,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38953, 38952])).
% 14.90/10.63 tff(38955,plain,
% 14.90/10.63 (until2p7(s269) | (~xuntil2p8(s268))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38954, 20323, 37571])).
% 14.90/10.63 tff(38956,plain,
% 14.90/10.63 (~xuntil2p8(s268)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38955, 38951])).
% 14.90/10.63 tff(38957,plain,
% 14.90/10.63 (~always3(s268)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20336, 38945])).
% 14.90/10.63 tff(38958,plain,
% 14.90/10.63 (~node4(s268)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20340, 36, 38957])).
% 14.90/10.63 tff(38959,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s268) | xuntil2p8(s268) | (~until2p7(s268)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s268) | xuntil2p8(s268) | (~until2p7(s268)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38960,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s268) | xuntil2p8(s268) | (~until2p7(s268)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38961,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s268) | xuntil2p8(s268) | (~until2p7(s268))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38960, 38959])).
% 14.90/10.63 tff(38962,plain,
% 14.90/10.63 (xuntil2p8(s268) | (~until2p7(s268))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38961, 37556, 38958])).
% 14.90/10.63 tff(38963,plain,
% 14.90/10.63 (~until2p7(s268)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38962, 38956])).
% 14.90/10.63 tff(38964,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38965,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38966,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38965, 38964])).
% 14.90/10.63 tff(38967,plain,
% 14.90/10.63 (until2p7(s268) | (~xuntil2p8(s267))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38966, 20352, 37571])).
% 14.90/10.63 tff(38968,plain,
% 14.90/10.63 (~xuntil2p8(s267)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38967, 38963])).
% 14.90/10.63 tff(38969,plain,
% 14.90/10.63 (~always3(s267)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20365, 38957])).
% 14.90/10.63 tff(38970,plain,
% 14.90/10.63 (~node4(s267)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20369, 36, 38969])).
% 14.90/10.63 tff(38971,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s267) | xuntil2p8(s267) | (~until2p7(s267)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s267) | xuntil2p8(s267) | (~until2p7(s267)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38972,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s267) | xuntil2p8(s267) | (~until2p7(s267)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38973,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s267) | xuntil2p8(s267) | (~until2p7(s267))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38972, 38971])).
% 14.90/10.63 tff(38974,plain,
% 14.90/10.63 (xuntil2p8(s267) | (~until2p7(s267))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38973, 37556, 38970])).
% 14.90/10.63 tff(38975,plain,
% 14.90/10.63 (~until2p7(s267)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38974, 38968])).
% 14.90/10.63 tff(38976,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38977,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38978,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38977, 38976])).
% 14.90/10.63 tff(38979,plain,
% 14.90/10.63 (until2p7(s267) | (~xuntil2p8(s266))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38978, 20381, 37571])).
% 14.90/10.63 tff(38980,plain,
% 14.90/10.63 (~xuntil2p8(s266)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38979, 38975])).
% 14.90/10.63 tff(38981,plain,
% 14.90/10.63 (~always3(s266)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20394, 38969])).
% 14.90/10.63 tff(38982,plain,
% 14.90/10.63 (~node4(s266)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20398, 36, 38981])).
% 14.90/10.63 tff(38983,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s266) | xuntil2p8(s266) | (~until2p7(s266)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s266) | xuntil2p8(s266) | (~until2p7(s266)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38984,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s266) | xuntil2p8(s266) | (~until2p7(s266)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38985,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s266) | xuntil2p8(s266) | (~until2p7(s266))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38984, 38983])).
% 14.90/10.63 tff(38986,plain,
% 14.90/10.63 (xuntil2p8(s266) | (~until2p7(s266))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38985, 37556, 38982])).
% 14.90/10.63 tff(38987,plain,
% 14.90/10.63 (~until2p7(s266)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38986, 38980])).
% 14.90/10.63 tff(38988,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38989,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38990,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38989, 38988])).
% 14.90/10.63 tff(38991,plain,
% 14.90/10.63 (until2p7(s266) | (~xuntil2p8(s265))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38990, 20410, 37571])).
% 14.90/10.63 tff(38992,plain,
% 14.90/10.63 (~xuntil2p8(s265)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38991, 38987])).
% 14.90/10.63 tff(38993,plain,
% 14.90/10.63 (~always3(s265)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20423, 38981])).
% 14.90/10.63 tff(38994,plain,
% 14.90/10.63 (~node4(s265)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20427, 36, 38993])).
% 14.90/10.63 tff(38995,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s265) | xuntil2p8(s265) | (~until2p7(s265)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s265) | xuntil2p8(s265) | (~until2p7(s265)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(38996,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s265) | xuntil2p8(s265) | (~until2p7(s265)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(38997,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s265) | xuntil2p8(s265) | (~until2p7(s265))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[38996, 38995])).
% 14.90/10.63 tff(38998,plain,
% 14.90/10.63 (xuntil2p8(s265) | (~until2p7(s265))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38997, 37556, 38994])).
% 14.90/10.63 tff(38999,plain,
% 14.90/10.63 (~until2p7(s265)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[38998, 38992])).
% 14.90/10.63 tff(39000,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39001,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39002,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39001, 39000])).
% 14.90/10.63 tff(39003,plain,
% 14.90/10.63 (until2p7(s265) | (~xuntil2p8(s264))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39002, 20439, 37571])).
% 14.90/10.63 tff(39004,plain,
% 14.90/10.63 (~xuntil2p8(s264)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39003, 38999])).
% 14.90/10.63 tff(39005,plain,
% 14.90/10.63 (~always3(s264)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20452, 38993])).
% 14.90/10.63 tff(39006,plain,
% 14.90/10.63 (~node4(s264)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20456, 36, 39005])).
% 14.90/10.63 tff(39007,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s264) | xuntil2p8(s264) | (~until2p7(s264)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s264) | xuntil2p8(s264) | (~until2p7(s264)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39008,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s264) | xuntil2p8(s264) | (~until2p7(s264)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39009,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s264) | xuntil2p8(s264) | (~until2p7(s264))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39008, 39007])).
% 14.90/10.63 tff(39010,plain,
% 14.90/10.63 (xuntil2p8(s264) | (~until2p7(s264))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39009, 37556, 39006])).
% 14.90/10.63 tff(39011,plain,
% 14.90/10.63 (~until2p7(s264)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39010, 39004])).
% 14.90/10.63 tff(39012,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39013,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39014,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39013, 39012])).
% 14.90/10.63 tff(39015,plain,
% 14.90/10.63 (until2p7(s264) | (~xuntil2p8(s263))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39014, 20468, 37571])).
% 14.90/10.63 tff(39016,plain,
% 14.90/10.63 (~xuntil2p8(s263)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39015, 39011])).
% 14.90/10.63 tff(39017,plain,
% 14.90/10.63 (~always3(s263)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20481, 39005])).
% 14.90/10.63 tff(39018,plain,
% 14.90/10.63 (~node4(s263)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20485, 36, 39017])).
% 14.90/10.63 tff(39019,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s263) | xuntil2p8(s263) | (~until2p7(s263)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s263) | xuntil2p8(s263) | (~until2p7(s263)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39020,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s263) | xuntil2p8(s263) | (~until2p7(s263)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39021,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s263) | xuntil2p8(s263) | (~until2p7(s263))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39020, 39019])).
% 14.90/10.63 tff(39022,plain,
% 14.90/10.63 (xuntil2p8(s263) | (~until2p7(s263))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39021, 37556, 39018])).
% 14.90/10.63 tff(39023,plain,
% 14.90/10.63 (~until2p7(s263)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39022, 39016])).
% 14.90/10.63 tff(39024,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39025,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39026,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39025, 39024])).
% 14.90/10.63 tff(39027,plain,
% 14.90/10.63 (until2p7(s263) | (~xuntil2p8(s262))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39026, 20497, 37571])).
% 14.90/10.63 tff(39028,plain,
% 14.90/10.63 (~xuntil2p8(s262)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39027, 39023])).
% 14.90/10.63 tff(39029,plain,
% 14.90/10.63 (~always3(s262)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20510, 39017])).
% 14.90/10.63 tff(39030,plain,
% 14.90/10.63 (~node4(s262)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20514, 36, 39029])).
% 14.90/10.63 tff(39031,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s262) | xuntil2p8(s262) | (~until2p7(s262)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s262) | xuntil2p8(s262) | (~until2p7(s262)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39032,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s262) | xuntil2p8(s262) | (~until2p7(s262)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39033,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s262) | xuntil2p8(s262) | (~until2p7(s262))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39032, 39031])).
% 14.90/10.63 tff(39034,plain,
% 14.90/10.63 (xuntil2p8(s262) | (~until2p7(s262))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39033, 37556, 39030])).
% 14.90/10.63 tff(39035,plain,
% 14.90/10.63 (~until2p7(s262)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39034, 39028])).
% 14.90/10.63 tff(39036,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39037,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39038,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39037, 39036])).
% 14.90/10.63 tff(39039,plain,
% 14.90/10.63 (until2p7(s262) | (~xuntil2p8(s261))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39038, 20526, 37571])).
% 14.90/10.63 tff(39040,plain,
% 14.90/10.63 (~xuntil2p8(s261)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39039, 39035])).
% 14.90/10.63 tff(39041,plain,
% 14.90/10.63 (~always3(s261)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20539, 39029])).
% 14.90/10.63 tff(39042,plain,
% 14.90/10.63 (~node4(s261)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20543, 36, 39041])).
% 14.90/10.63 tff(39043,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s261) | xuntil2p8(s261) | (~until2p7(s261)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s261) | xuntil2p8(s261) | (~until2p7(s261)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39044,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s261) | xuntil2p8(s261) | (~until2p7(s261)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39045,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s261) | xuntil2p8(s261) | (~until2p7(s261))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39044, 39043])).
% 14.90/10.63 tff(39046,plain,
% 14.90/10.63 (xuntil2p8(s261) | (~until2p7(s261))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39045, 37556, 39042])).
% 14.90/10.63 tff(39047,plain,
% 14.90/10.63 (~until2p7(s261)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39046, 39040])).
% 14.90/10.63 tff(39048,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39049,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39050,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39049, 39048])).
% 14.90/10.63 tff(39051,plain,
% 14.90/10.63 (until2p7(s261) | (~xuntil2p8(s260))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39050, 20555, 37571])).
% 14.90/10.63 tff(39052,plain,
% 14.90/10.63 (~xuntil2p8(s260)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39051, 39047])).
% 14.90/10.63 tff(39053,plain,
% 14.90/10.63 (~always3(s260)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20568, 39041])).
% 14.90/10.63 tff(39054,plain,
% 14.90/10.63 (~node4(s260)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20572, 36, 39053])).
% 14.90/10.63 tff(39055,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s260) | xuntil2p8(s260) | (~until2p7(s260)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s260) | xuntil2p8(s260) | (~until2p7(s260)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39056,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s260) | xuntil2p8(s260) | (~until2p7(s260)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39057,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s260) | xuntil2p8(s260) | (~until2p7(s260))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39056, 39055])).
% 14.90/10.63 tff(39058,plain,
% 14.90/10.63 (xuntil2p8(s260) | (~until2p7(s260))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39057, 37556, 39054])).
% 14.90/10.63 tff(39059,plain,
% 14.90/10.63 (~until2p7(s260)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39058, 39052])).
% 14.90/10.63 tff(39060,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39061,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39062,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39061, 39060])).
% 14.90/10.63 tff(39063,plain,
% 14.90/10.63 (until2p7(s260) | (~xuntil2p8(s259))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39062, 20584, 37571])).
% 14.90/10.63 tff(39064,plain,
% 14.90/10.63 (~xuntil2p8(s259)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39063, 39059])).
% 14.90/10.63 tff(39065,plain,
% 14.90/10.63 (~always3(s259)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20597, 39053])).
% 14.90/10.63 tff(39066,plain,
% 14.90/10.63 (~node4(s259)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20601, 36, 39065])).
% 14.90/10.63 tff(39067,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s259) | xuntil2p8(s259) | (~until2p7(s259)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s259) | xuntil2p8(s259) | (~until2p7(s259)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39068,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s259) | xuntil2p8(s259) | (~until2p7(s259)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39069,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s259) | xuntil2p8(s259) | (~until2p7(s259))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39068, 39067])).
% 14.90/10.63 tff(39070,plain,
% 14.90/10.63 (xuntil2p8(s259) | (~until2p7(s259))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39069, 37556, 39066])).
% 14.90/10.63 tff(39071,plain,
% 14.90/10.63 (~until2p7(s259)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39070, 39064])).
% 14.90/10.63 tff(39072,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39073,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39074,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39073, 39072])).
% 14.90/10.63 tff(39075,plain,
% 14.90/10.63 (until2p7(s259) | (~xuntil2p8(s258))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39074, 20613, 37571])).
% 14.90/10.63 tff(39076,plain,
% 14.90/10.63 (~xuntil2p8(s258)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39075, 39071])).
% 14.90/10.63 tff(39077,plain,
% 14.90/10.63 (~always3(s258)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20626, 39065])).
% 14.90/10.63 tff(39078,plain,
% 14.90/10.63 (~node4(s258)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20630, 36, 39077])).
% 14.90/10.63 tff(39079,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s258) | xuntil2p8(s258) | (~until2p7(s258)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s258) | xuntil2p8(s258) | (~until2p7(s258)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39080,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s258) | xuntil2p8(s258) | (~until2p7(s258)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39081,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s258) | xuntil2p8(s258) | (~until2p7(s258))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39080, 39079])).
% 14.90/10.63 tff(39082,plain,
% 14.90/10.63 (xuntil2p8(s258) | (~until2p7(s258))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39081, 37556, 39078])).
% 14.90/10.63 tff(39083,plain,
% 14.90/10.63 (~until2p7(s258)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39082, 39076])).
% 14.90/10.63 tff(39084,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39085,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39086,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39085, 39084])).
% 14.90/10.63 tff(39087,plain,
% 14.90/10.63 (until2p7(s258) | (~xuntil2p8(s257))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39086, 20642, 37571])).
% 14.90/10.63 tff(39088,plain,
% 14.90/10.63 (~xuntil2p8(s257)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39087, 39083])).
% 14.90/10.63 tff(39089,plain,
% 14.90/10.63 (~always3(s257)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20655, 39077])).
% 14.90/10.63 tff(39090,plain,
% 14.90/10.63 (~node4(s257)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20659, 36, 39089])).
% 14.90/10.63 tff(39091,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s257) | xuntil2p8(s257) | (~until2p7(s257)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s257) | xuntil2p8(s257) | (~until2p7(s257)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39092,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s257) | xuntil2p8(s257) | (~until2p7(s257)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39093,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s257) | xuntil2p8(s257) | (~until2p7(s257))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39092, 39091])).
% 14.90/10.63 tff(39094,plain,
% 14.90/10.63 (xuntil2p8(s257) | (~until2p7(s257))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39093, 37556, 39090])).
% 14.90/10.63 tff(39095,plain,
% 14.90/10.63 (~until2p7(s257)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39094, 39088])).
% 14.90/10.63 tff(39096,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39097,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39098,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39097, 39096])).
% 14.90/10.63 tff(39099,plain,
% 14.90/10.63 (until2p7(s257) | (~xuntil2p8(s256))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39098, 19904, 37571])).
% 14.90/10.63 tff(39100,plain,
% 14.90/10.63 (~xuntil2p8(s256)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39099, 39095])).
% 14.90/10.63 tff(39101,plain,
% 14.90/10.63 (~always3(s256)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[19912, 39089])).
% 14.90/10.63 tff(39102,plain,
% 14.90/10.63 (~node4(s256)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[20677, 36, 39101])).
% 14.90/10.63 tff(39103,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s256) | xuntil2p8(s256) | (~until2p7(s256)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s256) | xuntil2p8(s256) | (~until2p7(s256)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39104,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s256) | xuntil2p8(s256) | (~until2p7(s256)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39105,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s256) | xuntil2p8(s256) | (~until2p7(s256))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39104, 39103])).
% 14.90/10.63 tff(39106,plain,
% 14.90/10.63 (xuntil2p8(s256) | (~until2p7(s256))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39105, 37556, 39102])).
% 14.90/10.63 tff(39107,plain,
% 14.90/10.63 (~until2p7(s256)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39106, 39100])).
% 14.90/10.63 tff(39108,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39109,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39110,plain,
% 14.90/10.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39109, 39108])).
% 14.90/10.63 tff(39111,plain,
% 14.90/10.63 (until2p7(s256) | (~xuntil2p8(s255))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39110, 19855, 37571])).
% 14.90/10.63 tff(39112,plain,
% 14.90/10.63 (~xuntil2p8(s255)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39111, 39107])).
% 14.90/10.63 tff(39113,plain,
% 14.90/10.63 (~always3(s255)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[19863, 39101])).
% 14.90/10.63 tff(39114,plain,
% 14.90/10.63 (~node4(s255)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[19687, 36, 39113])).
% 14.90/10.63 tff(39115,plain,
% 14.90/10.63 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s255) | xuntil2p8(s255) | (~until2p7(s255)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s255) | xuntil2p8(s255) | (~until2p7(s255)))),
% 14.90/10.63 inference(rewrite,[status(thm)],[])).
% 14.90/10.63 tff(39116,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s255) | xuntil2p8(s255) | (~until2p7(s255)))),
% 14.90/10.63 inference(quant_inst,[status(thm)],[])).
% 14.90/10.63 tff(39117,plain,
% 14.90/10.63 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s255) | xuntil2p8(s255) | (~until2p7(s255))),
% 14.90/10.63 inference(modus_ponens,[status(thm)],[39116, 39115])).
% 14.90/10.63 tff(39118,plain,
% 14.90/10.63 (xuntil2p8(s255) | (~until2p7(s255))),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39117, 37556, 39114])).
% 14.90/10.63 tff(39119,plain,
% 14.90/10.63 (~until2p7(s255)),
% 14.90/10.63 inference(unit_resolution,[status(thm)],[39118, 39112])).
% 14.90/10.63 tff(39120,plain,
% 14.90/10.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39121,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39122,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39121, 39120])).
% 14.90/10.64 tff(39123,plain,
% 14.90/10.64 (until2p7(s255) | (~xuntil2p8(s254))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39122, 19635, 37571])).
% 14.90/10.64 tff(39124,plain,
% 14.90/10.64 (~xuntil2p8(s254)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39123, 39119])).
% 14.90/10.64 tff(39125,plain,
% 14.90/10.64 (~always3(s254)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[19643, 39113])).
% 14.90/10.64 tff(39126,plain,
% 14.90/10.64 (~node4(s254)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[19631, 36, 39125])).
% 14.90/10.64 tff(39127,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s254) | xuntil2p8(s254) | (~until2p7(s254)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s254) | xuntil2p8(s254) | (~until2p7(s254)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39128,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s254) | xuntil2p8(s254) | (~until2p7(s254)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39129,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s254) | xuntil2p8(s254) | (~until2p7(s254))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39128, 39127])).
% 14.90/10.64 tff(39130,plain,
% 14.90/10.64 (xuntil2p8(s254) | (~until2p7(s254))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39129, 37556, 39126])).
% 14.90/10.64 tff(39131,plain,
% 14.90/10.64 (~until2p7(s254)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39130, 39124])).
% 14.90/10.64 tff(39132,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39133,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39134,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39133, 39132])).
% 14.90/10.64 tff(39135,plain,
% 14.90/10.64 (until2p7(s254) | (~xuntil2p8(s253))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39134, 18287, 37571])).
% 14.90/10.64 tff(39136,plain,
% 14.90/10.64 (~xuntil2p8(s253)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39135, 39131])).
% 14.90/10.64 tff(39137,plain,
% 14.90/10.64 (~always3(s253)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[18295, 39125])).
% 14.90/10.64 tff(39138,plain,
% 14.90/10.64 (~node4(s253)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17239, 36, 39137])).
% 14.90/10.64 tff(39139,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s253) | xuntil2p8(s253) | (~until2p7(s253)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s253) | xuntil2p8(s253) | (~until2p7(s253)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39140,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s253) | xuntil2p8(s253) | (~until2p7(s253)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39141,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s253) | xuntil2p8(s253) | (~until2p7(s253))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39140, 39139])).
% 14.90/10.64 tff(39142,plain,
% 14.90/10.64 (xuntil2p8(s253) | (~until2p7(s253))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39141, 37556, 39138])).
% 14.90/10.64 tff(39143,plain,
% 14.90/10.64 (~until2p7(s253)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39142, 39136])).
% 14.90/10.64 tff(39144,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39145,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39146,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39145, 39144])).
% 14.90/10.64 tff(39147,plain,
% 14.90/10.64 (until2p7(s253) | (~xuntil2p8(s252))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39146, 17211, 37571])).
% 14.90/10.64 tff(39148,plain,
% 14.90/10.64 (~xuntil2p8(s252)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39147, 39143])).
% 14.90/10.64 tff(39149,plain,
% 14.90/10.64 (~always3(s252)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17219, 39137])).
% 14.90/10.64 tff(39150,plain,
% 14.90/10.64 (~node4(s252)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17261, 36, 39149])).
% 14.90/10.64 tff(39151,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s252) | xuntil2p8(s252) | (~until2p7(s252)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s252) | xuntil2p8(s252) | (~until2p7(s252)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39152,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s252) | xuntil2p8(s252) | (~until2p7(s252)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39153,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s252) | xuntil2p8(s252) | (~until2p7(s252))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39152, 39151])).
% 14.90/10.64 tff(39154,plain,
% 14.90/10.64 (xuntil2p8(s252) | (~until2p7(s252))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39153, 37556, 39150])).
% 14.90/10.64 tff(39155,plain,
% 14.90/10.64 (~until2p7(s252)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39154, 39148])).
% 14.90/10.64 tff(39156,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39157,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39158,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39157, 39156])).
% 14.90/10.64 tff(39159,plain,
% 14.90/10.64 (until2p7(s252) | (~xuntil2p8(s251))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39158, 17223, 37571])).
% 14.90/10.64 tff(39160,plain,
% 14.90/10.64 (~xuntil2p8(s251)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39159, 39155])).
% 14.90/10.64 tff(39161,plain,
% 14.90/10.64 (~always3(s251)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17231, 39149])).
% 14.90/10.64 tff(39162,plain,
% 14.90/10.64 (~node4(s251)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17235, 36, 39161])).
% 14.90/10.64 tff(39163,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s251) | xuntil2p8(s251) | (~until2p7(s251)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s251) | xuntil2p8(s251) | (~until2p7(s251)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39164,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s251) | xuntil2p8(s251) | (~until2p7(s251)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39165,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s251) | xuntil2p8(s251) | (~until2p7(s251))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39164, 39163])).
% 14.90/10.64 tff(39166,plain,
% 14.90/10.64 (xuntil2p8(s251) | (~until2p7(s251))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39165, 37556, 39162])).
% 14.90/10.64 tff(39167,plain,
% 14.90/10.64 (~until2p7(s251)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39166, 39160])).
% 14.90/10.64 tff(39168,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39169,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39170,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39169, 39168])).
% 14.90/10.64 tff(39171,plain,
% 14.90/10.64 (until2p7(s251) | (~xuntil2p8(s250))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39170, 17314, 37571])).
% 14.90/10.64 tff(39172,plain,
% 14.90/10.64 (~xuntil2p8(s250)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39171, 39167])).
% 14.90/10.64 tff(39173,plain,
% 14.90/10.64 (~always3(s250)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17336, 39161])).
% 14.90/10.64 tff(39174,plain,
% 14.90/10.64 (~node4(s250)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17327, 36, 39173])).
% 14.90/10.64 tff(39175,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s250) | xuntil2p8(s250) | (~until2p7(s250)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s250) | xuntil2p8(s250) | (~until2p7(s250)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39176,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s250) | xuntil2p8(s250) | (~until2p7(s250)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39177,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s250) | xuntil2p8(s250) | (~until2p7(s250))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39176, 39175])).
% 14.90/10.64 tff(39178,plain,
% 14.90/10.64 (xuntil2p8(s250) | (~until2p7(s250))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39177, 37556, 39174])).
% 14.90/10.64 tff(39179,plain,
% 14.90/10.64 (~until2p7(s250)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39178, 39172])).
% 14.90/10.64 tff(39180,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39181,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39182,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39181, 39180])).
% 14.90/10.64 tff(39183,plain,
% 14.90/10.64 (until2p7(s250) | (~xuntil2p8(s249))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39182, 17376, 37571])).
% 14.90/10.64 tff(39184,plain,
% 14.90/10.64 (~xuntil2p8(s249)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39183, 39179])).
% 14.90/10.64 tff(39185,plain,
% 14.90/10.64 (~always3(s249)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17390, 39173])).
% 14.90/10.64 tff(39186,plain,
% 14.90/10.64 (~node4(s249)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17394, 36, 39185])).
% 14.90/10.64 tff(39187,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s249) | xuntil2p8(s249) | (~until2p7(s249)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s249) | xuntil2p8(s249) | (~until2p7(s249)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39188,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s249) | xuntil2p8(s249) | (~until2p7(s249)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39189,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s249) | xuntil2p8(s249) | (~until2p7(s249))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39188, 39187])).
% 14.90/10.64 tff(39190,plain,
% 14.90/10.64 (xuntil2p8(s249) | (~until2p7(s249))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39189, 37556, 39186])).
% 14.90/10.64 tff(39191,plain,
% 14.90/10.64 (~until2p7(s249)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39190, 39184])).
% 14.90/10.64 tff(39192,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39193,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39194,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39193, 39192])).
% 14.90/10.64 tff(39195,plain,
% 14.90/10.64 (until2p7(s249) | (~xuntil2p8(s248))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39194, 17406, 37571])).
% 14.90/10.64 tff(39196,plain,
% 14.90/10.64 (~xuntil2p8(s248)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39195, 39191])).
% 14.90/10.64 tff(39197,plain,
% 14.90/10.64 (~always3(s248)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17419, 39185])).
% 14.90/10.64 tff(39198,plain,
% 14.90/10.64 (~node4(s248)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17423, 36, 39197])).
% 14.90/10.64 tff(39199,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s248) | xuntil2p8(s248) | (~until2p7(s248)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s248) | xuntil2p8(s248) | (~until2p7(s248)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39200,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s248) | xuntil2p8(s248) | (~until2p7(s248)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39201,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s248) | xuntil2p8(s248) | (~until2p7(s248))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39200, 39199])).
% 14.90/10.64 tff(39202,plain,
% 14.90/10.64 (xuntil2p8(s248) | (~until2p7(s248))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39201, 37556, 39198])).
% 14.90/10.64 tff(39203,plain,
% 14.90/10.64 (~until2p7(s248)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39202, 39196])).
% 14.90/10.64 tff(39204,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39205,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39206,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39205, 39204])).
% 14.90/10.64 tff(39207,plain,
% 14.90/10.64 (until2p7(s248) | (~xuntil2p8(s247))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39206, 17435, 37571])).
% 14.90/10.64 tff(39208,plain,
% 14.90/10.64 (~xuntil2p8(s247)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39207, 39203])).
% 14.90/10.64 tff(39209,plain,
% 14.90/10.64 (~always3(s247)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17448, 39197])).
% 14.90/10.64 tff(39210,plain,
% 14.90/10.64 (~node4(s247)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17452, 36, 39209])).
% 14.90/10.64 tff(39211,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s247) | xuntil2p8(s247) | (~until2p7(s247)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s247) | xuntil2p8(s247) | (~until2p7(s247)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39212,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s247) | xuntil2p8(s247) | (~until2p7(s247)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39213,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s247) | xuntil2p8(s247) | (~until2p7(s247))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39212, 39211])).
% 14.90/10.64 tff(39214,plain,
% 14.90/10.64 (xuntil2p8(s247) | (~until2p7(s247))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39213, 37556, 39210])).
% 14.90/10.64 tff(39215,plain,
% 14.90/10.64 (~until2p7(s247)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39214, 39208])).
% 14.90/10.64 tff(39216,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39217,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39218,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39217, 39216])).
% 14.90/10.64 tff(39219,plain,
% 14.90/10.64 (until2p7(s247) | (~xuntil2p8(s246))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39218, 17464, 37571])).
% 14.90/10.64 tff(39220,plain,
% 14.90/10.64 (~xuntil2p8(s246)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39219, 39215])).
% 14.90/10.64 tff(39221,plain,
% 14.90/10.64 (~always3(s246)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17477, 39209])).
% 14.90/10.64 tff(39222,plain,
% 14.90/10.64 (~node4(s246)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17481, 36, 39221])).
% 14.90/10.64 tff(39223,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s246) | xuntil2p8(s246) | (~until2p7(s246)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s246) | xuntil2p8(s246) | (~until2p7(s246)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39224,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s246) | xuntil2p8(s246) | (~until2p7(s246)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39225,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s246) | xuntil2p8(s246) | (~until2p7(s246))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39224, 39223])).
% 14.90/10.64 tff(39226,plain,
% 14.90/10.64 (xuntil2p8(s246) | (~until2p7(s246))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39225, 37556, 39222])).
% 14.90/10.64 tff(39227,plain,
% 14.90/10.64 (~until2p7(s246)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39226, 39220])).
% 14.90/10.64 tff(39228,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39229,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39230,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39229, 39228])).
% 14.90/10.64 tff(39231,plain,
% 14.90/10.64 (until2p7(s246) | (~xuntil2p8(s245))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39230, 17493, 37571])).
% 14.90/10.64 tff(39232,plain,
% 14.90/10.64 (~xuntil2p8(s245)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39231, 39227])).
% 14.90/10.64 tff(39233,plain,
% 14.90/10.64 (~always3(s245)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17506, 39221])).
% 14.90/10.64 tff(39234,plain,
% 14.90/10.64 (~node4(s245)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17510, 36, 39233])).
% 14.90/10.64 tff(39235,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s245) | xuntil2p8(s245) | (~until2p7(s245)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s245) | xuntil2p8(s245) | (~until2p7(s245)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39236,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s245) | xuntil2p8(s245) | (~until2p7(s245)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39237,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s245) | xuntil2p8(s245) | (~until2p7(s245))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39236, 39235])).
% 14.90/10.64 tff(39238,plain,
% 14.90/10.64 (xuntil2p8(s245) | (~until2p7(s245))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39237, 37556, 39234])).
% 14.90/10.64 tff(39239,plain,
% 14.90/10.64 (~until2p7(s245)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39238, 39232])).
% 14.90/10.64 tff(39240,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39241,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39242,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39241, 39240])).
% 14.90/10.64 tff(39243,plain,
% 14.90/10.64 (until2p7(s245) | (~xuntil2p8(s244))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39242, 17522, 37571])).
% 14.90/10.64 tff(39244,plain,
% 14.90/10.64 (~xuntil2p8(s244)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39243, 39239])).
% 14.90/10.64 tff(39245,plain,
% 14.90/10.64 (~always3(s244)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17535, 39233])).
% 14.90/10.64 tff(39246,plain,
% 14.90/10.64 (~node4(s244)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17539, 36, 39245])).
% 14.90/10.64 tff(39247,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s244) | xuntil2p8(s244) | (~until2p7(s244)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s244) | xuntil2p8(s244) | (~until2p7(s244)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39248,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s244) | xuntil2p8(s244) | (~until2p7(s244)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39249,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s244) | xuntil2p8(s244) | (~until2p7(s244))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39248, 39247])).
% 14.90/10.64 tff(39250,plain,
% 14.90/10.64 (xuntil2p8(s244) | (~until2p7(s244))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39249, 37556, 39246])).
% 14.90/10.64 tff(39251,plain,
% 14.90/10.64 (~until2p7(s244)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39250, 39244])).
% 14.90/10.64 tff(39252,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39253,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39254,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39253, 39252])).
% 14.90/10.64 tff(39255,plain,
% 14.90/10.64 (until2p7(s244) | (~xuntil2p8(s243))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39254, 17551, 37571])).
% 14.90/10.64 tff(39256,plain,
% 14.90/10.64 (~xuntil2p8(s243)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39255, 39251])).
% 14.90/10.64 tff(39257,plain,
% 14.90/10.64 (~always3(s243)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17564, 39245])).
% 14.90/10.64 tff(39258,plain,
% 14.90/10.64 (~node4(s243)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17568, 36, 39257])).
% 14.90/10.64 tff(39259,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s243) | xuntil2p8(s243) | (~until2p7(s243)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s243) | xuntil2p8(s243) | (~until2p7(s243)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39260,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s243) | xuntil2p8(s243) | (~until2p7(s243)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39261,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s243) | xuntil2p8(s243) | (~until2p7(s243))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39260, 39259])).
% 14.90/10.64 tff(39262,plain,
% 14.90/10.64 (xuntil2p8(s243) | (~until2p7(s243))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39261, 37556, 39258])).
% 14.90/10.64 tff(39263,plain,
% 14.90/10.64 (~until2p7(s243)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39262, 39256])).
% 14.90/10.64 tff(39264,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39265,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39266,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39265, 39264])).
% 14.90/10.64 tff(39267,plain,
% 14.90/10.64 (until2p7(s243) | (~xuntil2p8(s242))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39266, 17580, 37571])).
% 14.90/10.64 tff(39268,plain,
% 14.90/10.64 (~xuntil2p8(s242)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39267, 39263])).
% 14.90/10.64 tff(39269,plain,
% 14.90/10.64 (~always3(s242)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17593, 39257])).
% 14.90/10.64 tff(39270,plain,
% 14.90/10.64 (~node4(s242)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17597, 36, 39269])).
% 14.90/10.64 tff(39271,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s242) | xuntil2p8(s242) | (~until2p7(s242)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s242) | xuntil2p8(s242) | (~until2p7(s242)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39272,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s242) | xuntil2p8(s242) | (~until2p7(s242)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39273,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s242) | xuntil2p8(s242) | (~until2p7(s242))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39272, 39271])).
% 14.90/10.64 tff(39274,plain,
% 14.90/10.64 (xuntil2p8(s242) | (~until2p7(s242))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39273, 37556, 39270])).
% 14.90/10.64 tff(39275,plain,
% 14.90/10.64 (~until2p7(s242)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39274, 39268])).
% 14.90/10.64 tff(39276,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39277,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39278,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39277, 39276])).
% 14.90/10.64 tff(39279,plain,
% 14.90/10.64 (until2p7(s242) | (~xuntil2p8(s241))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39278, 17609, 37571])).
% 14.90/10.64 tff(39280,plain,
% 14.90/10.64 (~xuntil2p8(s241)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39279, 39275])).
% 14.90/10.64 tff(39281,plain,
% 14.90/10.64 (~always3(s241)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17622, 39269])).
% 14.90/10.64 tff(39282,plain,
% 14.90/10.64 (~node4(s241)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17626, 36, 39281])).
% 14.90/10.64 tff(39283,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s241) | xuntil2p8(s241) | (~until2p7(s241)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s241) | xuntil2p8(s241) | (~until2p7(s241)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39284,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s241) | xuntil2p8(s241) | (~until2p7(s241)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39285,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s241) | xuntil2p8(s241) | (~until2p7(s241))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39284, 39283])).
% 14.90/10.64 tff(39286,plain,
% 14.90/10.64 (xuntil2p8(s241) | (~until2p7(s241))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39285, 37556, 39282])).
% 14.90/10.64 tff(39287,plain,
% 14.90/10.64 (~until2p7(s241)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39286, 39280])).
% 14.90/10.64 tff(39288,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39289,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39290,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39289, 39288])).
% 14.90/10.64 tff(39291,plain,
% 14.90/10.64 (until2p7(s241) | (~xuntil2p8(s240))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39290, 17638, 37571])).
% 14.90/10.64 tff(39292,plain,
% 14.90/10.64 (~xuntil2p8(s240)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39291, 39287])).
% 14.90/10.64 tff(39293,plain,
% 14.90/10.64 (~always3(s240)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17651, 39281])).
% 14.90/10.64 tff(39294,plain,
% 14.90/10.64 (~node4(s240)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17655, 36, 39293])).
% 14.90/10.64 tff(39295,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s240) | xuntil2p8(s240) | (~until2p7(s240)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s240) | xuntil2p8(s240) | (~until2p7(s240)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39296,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s240) | xuntil2p8(s240) | (~until2p7(s240)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39297,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s240) | xuntil2p8(s240) | (~until2p7(s240))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39296, 39295])).
% 14.90/10.64 tff(39298,plain,
% 14.90/10.64 (xuntil2p8(s240) | (~until2p7(s240))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39297, 37556, 39294])).
% 14.90/10.64 tff(39299,plain,
% 14.90/10.64 (~until2p7(s240)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39298, 39292])).
% 14.90/10.64 tff(39300,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39301,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39302,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39301, 39300])).
% 14.90/10.64 tff(39303,plain,
% 14.90/10.64 (until2p7(s240) | (~xuntil2p8(s239))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39302, 17667, 37571])).
% 14.90/10.64 tff(39304,plain,
% 14.90/10.64 (~xuntil2p8(s239)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39303, 39299])).
% 14.90/10.64 tff(39305,plain,
% 14.90/10.64 (~always3(s239)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17689, 39293])).
% 14.90/10.64 tff(39306,plain,
% 14.90/10.64 (~node4(s239)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17680, 36, 39305])).
% 14.90/10.64 tff(39307,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s239) | xuntil2p8(s239) | (~until2p7(s239)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s239) | xuntil2p8(s239) | (~until2p7(s239)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39308,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s239) | xuntil2p8(s239) | (~until2p7(s239)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39309,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s239) | xuntil2p8(s239) | (~until2p7(s239))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39308, 39307])).
% 14.90/10.64 tff(39310,plain,
% 14.90/10.64 (xuntil2p8(s239) | (~until2p7(s239))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39309, 37556, 39306])).
% 14.90/10.64 tff(39311,plain,
% 14.90/10.64 (~until2p7(s239)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39310, 39304])).
% 14.90/10.64 tff(39312,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39313,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39314,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39313, 39312])).
% 14.90/10.64 tff(39315,plain,
% 14.90/10.64 (until2p7(s239) | (~xuntil2p8(s238))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39314, 17729, 37571])).
% 14.90/10.64 tff(39316,plain,
% 14.90/10.64 (~xuntil2p8(s238)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39315, 39311])).
% 14.90/10.64 tff(39317,plain,
% 14.90/10.64 (~always3(s238)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17743, 39305])).
% 14.90/10.64 tff(39318,plain,
% 14.90/10.64 (~node4(s238)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17747, 36, 39317])).
% 14.90/10.64 tff(39319,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s238) | xuntil2p8(s238) | (~until2p7(s238)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s238) | xuntil2p8(s238) | (~until2p7(s238)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39320,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s238) | xuntil2p8(s238) | (~until2p7(s238)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39321,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s238) | xuntil2p8(s238) | (~until2p7(s238))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39320, 39319])).
% 14.90/10.64 tff(39322,plain,
% 14.90/10.64 (xuntil2p8(s238) | (~until2p7(s238))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39321, 37556, 39318])).
% 14.90/10.64 tff(39323,plain,
% 14.90/10.64 (~until2p7(s238)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39322, 39316])).
% 14.90/10.64 tff(39324,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39325,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39326,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39325, 39324])).
% 14.90/10.64 tff(39327,plain,
% 14.90/10.64 (until2p7(s238) | (~xuntil2p8(s237))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39326, 17759, 37571])).
% 14.90/10.64 tff(39328,plain,
% 14.90/10.64 (~xuntil2p8(s237)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39327, 39323])).
% 14.90/10.64 tff(39329,plain,
% 14.90/10.64 (~always3(s237)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17772, 39317])).
% 14.90/10.64 tff(39330,plain,
% 14.90/10.64 (~node4(s237)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17776, 36, 39329])).
% 14.90/10.64 tff(39331,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s237) | xuntil2p8(s237) | (~until2p7(s237)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s237) | xuntil2p8(s237) | (~until2p7(s237)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39332,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s237) | xuntil2p8(s237) | (~until2p7(s237)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39333,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s237) | xuntil2p8(s237) | (~until2p7(s237))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39332, 39331])).
% 14.90/10.64 tff(39334,plain,
% 14.90/10.64 (xuntil2p8(s237) | (~until2p7(s237))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39333, 37556, 39330])).
% 14.90/10.64 tff(39335,plain,
% 14.90/10.64 (~until2p7(s237)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39334, 39328])).
% 14.90/10.64 tff(39336,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39337,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39338,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39337, 39336])).
% 14.90/10.64 tff(39339,plain,
% 14.90/10.64 (until2p7(s237) | (~xuntil2p8(s236))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39338, 17788, 37571])).
% 14.90/10.64 tff(39340,plain,
% 14.90/10.64 (~xuntil2p8(s236)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39339, 39335])).
% 14.90/10.64 tff(39341,plain,
% 14.90/10.64 (~always3(s236)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17796, 39329])).
% 14.90/10.64 tff(39342,plain,
% 14.90/10.64 (~node4(s236)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[18239, 36, 39341])).
% 14.90/10.64 tff(39343,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s236) | xuntil2p8(s236) | (~until2p7(s236)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s236) | xuntil2p8(s236) | (~until2p7(s236)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39344,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s236) | xuntil2p8(s236) | (~until2p7(s236)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39345,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s236) | xuntil2p8(s236) | (~until2p7(s236))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39344, 39343])).
% 14.90/10.64 tff(39346,plain,
% 14.90/10.64 (xuntil2p8(s236) | (~until2p7(s236))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39345, 37556, 39342])).
% 14.90/10.64 tff(39347,plain,
% 14.90/10.64 (~until2p7(s236)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39346, 39340])).
% 14.90/10.64 tff(39348,plain,
% 14.90/10.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39349,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235)))),
% 14.90/10.64 inference(quant_inst,[status(thm)],[])).
% 14.90/10.64 tff(39350,plain,
% 14.90/10.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235))),
% 14.90/10.64 inference(modus_ponens,[status(thm)],[39349, 39348])).
% 14.90/10.64 tff(39351,plain,
% 14.90/10.64 (until2p7(s236) | (~xuntil2p8(s235))),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39350, 17800, 37571])).
% 14.90/10.64 tff(39352,plain,
% 14.90/10.64 (~xuntil2p8(s235)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[39351, 39347])).
% 14.90/10.64 tff(39353,plain,
% 14.90/10.64 (~always3(s235)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[17808, 39341])).
% 14.90/10.64 tff(39354,plain,
% 14.90/10.64 (~node4(s235)),
% 14.90/10.64 inference(unit_resolution,[status(thm)],[18217, 36, 39353])).
% 14.90/10.64 tff(39355,plain,
% 14.90/10.64 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s235) | xuntil2p8(s235) | (~until2p7(s235)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s235) | xuntil2p8(s235) | (~until2p7(s235)))),
% 14.90/10.64 inference(rewrite,[status(thm)],[])).
% 14.90/10.64 tff(39356,plain,
% 14.90/10.64 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s235) | xuntil2p8(s235) | (~until2p7(s235)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39357,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s235) | xuntil2p8(s235) | (~until2p7(s235))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39356, 39355])).
% 14.90/10.65 tff(39358,plain,
% 14.90/10.65 (xuntil2p8(s235) | (~until2p7(s235))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39357, 37556, 39354])).
% 14.90/10.65 tff(39359,plain,
% 14.90/10.65 (~until2p7(s235)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39358, 39352])).
% 14.90/10.65 tff(39360,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39361,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39362,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39361, 39360])).
% 14.90/10.65 tff(39363,plain,
% 14.90/10.65 (until2p7(s235) | (~xuntil2p8(s234))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39362, 17812, 37571])).
% 14.90/10.65 tff(39364,plain,
% 14.90/10.65 (~xuntil2p8(s234)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39363, 39359])).
% 14.90/10.65 tff(39365,plain,
% 14.90/10.65 (~always3(s234)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17820, 39353])).
% 14.90/10.65 tff(39366,plain,
% 14.90/10.65 (~node4(s234)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18200, 36, 39365])).
% 14.90/10.65 tff(39367,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s234) | xuntil2p8(s234) | (~until2p7(s234)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s234) | xuntil2p8(s234) | (~until2p7(s234)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39368,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s234) | xuntil2p8(s234) | (~until2p7(s234)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39369,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s234) | xuntil2p8(s234) | (~until2p7(s234))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39368, 39367])).
% 14.90/10.65 tff(39370,plain,
% 14.90/10.65 (xuntil2p8(s234) | (~until2p7(s234))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39369, 37556, 39366])).
% 14.90/10.65 tff(39371,plain,
% 14.90/10.65 (~until2p7(s234)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39370, 39364])).
% 14.90/10.65 tff(39372,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39373,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39374,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39373, 39372])).
% 14.90/10.65 tff(39375,plain,
% 14.90/10.65 (until2p7(s234) | (~xuntil2p8(s233))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39374, 17824, 37571])).
% 14.90/10.65 tff(39376,plain,
% 14.90/10.65 (~xuntil2p8(s233)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39375, 39371])).
% 14.90/10.65 tff(39377,plain,
% 14.90/10.65 (~always3(s233)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17832, 39365])).
% 14.90/10.65 tff(39378,plain,
% 14.90/10.65 (~node4(s233)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18183, 36, 39377])).
% 14.90/10.65 tff(39379,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s233) | xuntil2p8(s233) | (~until2p7(s233)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s233) | xuntil2p8(s233) | (~until2p7(s233)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39380,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s233) | xuntil2p8(s233) | (~until2p7(s233)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39381,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s233) | xuntil2p8(s233) | (~until2p7(s233))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39380, 39379])).
% 14.90/10.65 tff(39382,plain,
% 14.90/10.65 (xuntil2p8(s233) | (~until2p7(s233))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39381, 37556, 39378])).
% 14.90/10.65 tff(39383,plain,
% 14.90/10.65 (~until2p7(s233)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39382, 39376])).
% 14.90/10.65 tff(39384,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39385,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39386,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39385, 39384])).
% 14.90/10.65 tff(39387,plain,
% 14.90/10.65 (until2p7(s233) | (~xuntil2p8(s232))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39386, 17836, 37571])).
% 14.90/10.65 tff(39388,plain,
% 14.90/10.65 (~xuntil2p8(s232)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39387, 39383])).
% 14.90/10.65 tff(39389,plain,
% 14.90/10.65 (~always3(s232)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17844, 39377])).
% 14.90/10.65 tff(39390,plain,
% 14.90/10.65 (~node4(s232)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18166, 36, 39389])).
% 14.90/10.65 tff(39391,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s232) | xuntil2p8(s232) | (~until2p7(s232)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s232) | xuntil2p8(s232) | (~until2p7(s232)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39392,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s232) | xuntil2p8(s232) | (~until2p7(s232)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39393,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s232) | xuntil2p8(s232) | (~until2p7(s232))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39392, 39391])).
% 14.90/10.65 tff(39394,plain,
% 14.90/10.65 (xuntil2p8(s232) | (~until2p7(s232))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39393, 37556, 39390])).
% 14.90/10.65 tff(39395,plain,
% 14.90/10.65 (~until2p7(s232)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39394, 39388])).
% 14.90/10.65 tff(39396,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39397,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39398,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39397, 39396])).
% 14.90/10.65 tff(39399,plain,
% 14.90/10.65 (until2p7(s232) | (~xuntil2p8(s231))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39398, 17848, 37571])).
% 14.90/10.65 tff(39400,plain,
% 14.90/10.65 (~xuntil2p8(s231)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39399, 39395])).
% 14.90/10.65 tff(39401,plain,
% 14.90/10.65 (~always3(s231)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17856, 39389])).
% 14.90/10.65 tff(39402,plain,
% 14.90/10.65 (~node4(s231)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18149, 36, 39401])).
% 14.90/10.65 tff(39403,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s231) | xuntil2p8(s231) | (~until2p7(s231)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s231) | xuntil2p8(s231) | (~until2p7(s231)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39404,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s231) | xuntil2p8(s231) | (~until2p7(s231)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39405,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s231) | xuntil2p8(s231) | (~until2p7(s231))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39404, 39403])).
% 14.90/10.65 tff(39406,plain,
% 14.90/10.65 (xuntil2p8(s231) | (~until2p7(s231))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39405, 37556, 39402])).
% 14.90/10.65 tff(39407,plain,
% 14.90/10.65 (~until2p7(s231)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39406, 39400])).
% 14.90/10.65 tff(39408,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39409,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39410,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39409, 39408])).
% 14.90/10.65 tff(39411,plain,
% 14.90/10.65 (until2p7(s231) | (~xuntil2p8(s230))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39410, 17860, 37571])).
% 14.90/10.65 tff(39412,plain,
% 14.90/10.65 (~xuntil2p8(s230)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39411, 39407])).
% 14.90/10.65 tff(39413,plain,
% 14.90/10.65 (~always3(s230)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17868, 39401])).
% 14.90/10.65 tff(39414,plain,
% 14.90/10.65 (~node4(s230)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18132, 36, 39413])).
% 14.90/10.65 tff(39415,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s230) | xuntil2p8(s230) | (~until2p7(s230)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s230) | xuntil2p8(s230) | (~until2p7(s230)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39416,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s230) | xuntil2p8(s230) | (~until2p7(s230)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39417,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s230) | xuntil2p8(s230) | (~until2p7(s230))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39416, 39415])).
% 14.90/10.65 tff(39418,plain,
% 14.90/10.65 (xuntil2p8(s230) | (~until2p7(s230))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39417, 37556, 39414])).
% 14.90/10.65 tff(39419,plain,
% 14.90/10.65 (~until2p7(s230)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39418, 39412])).
% 14.90/10.65 tff(39420,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39421,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39422,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39421, 39420])).
% 14.90/10.65 tff(39423,plain,
% 14.90/10.65 (until2p7(s230) | (~xuntil2p8(s229))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39422, 17872, 37571])).
% 14.90/10.65 tff(39424,plain,
% 14.90/10.65 (~xuntil2p8(s229)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39423, 39419])).
% 14.90/10.65 tff(39425,plain,
% 14.90/10.65 (~always3(s229)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17880, 39413])).
% 14.90/10.65 tff(39426,plain,
% 14.90/10.65 (~node4(s229)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18115, 36, 39425])).
% 14.90/10.65 tff(39427,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s229) | xuntil2p8(s229) | (~until2p7(s229)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s229) | xuntil2p8(s229) | (~until2p7(s229)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39428,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s229) | xuntil2p8(s229) | (~until2p7(s229)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39429,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s229) | xuntil2p8(s229) | (~until2p7(s229))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39428, 39427])).
% 14.90/10.65 tff(39430,plain,
% 14.90/10.65 (xuntil2p8(s229) | (~until2p7(s229))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39429, 37556, 39426])).
% 14.90/10.65 tff(39431,plain,
% 14.90/10.65 (~until2p7(s229)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39430, 39424])).
% 14.90/10.65 tff(39432,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39433,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39434,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39433, 39432])).
% 14.90/10.65 tff(39435,plain,
% 14.90/10.65 (until2p7(s229) | (~xuntil2p8(s228))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39434, 17884, 37571])).
% 14.90/10.65 tff(39436,plain,
% 14.90/10.65 (~xuntil2p8(s228)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39435, 39431])).
% 14.90/10.65 tff(39437,plain,
% 14.90/10.65 (~always3(s228)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17892, 39425])).
% 14.90/10.65 tff(39438,plain,
% 14.90/10.65 (~node4(s228)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18098, 36, 39437])).
% 14.90/10.65 tff(39439,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s228) | xuntil2p8(s228) | (~until2p7(s228)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s228) | xuntil2p8(s228) | (~until2p7(s228)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39440,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s228) | xuntil2p8(s228) | (~until2p7(s228)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39441,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s228) | xuntil2p8(s228) | (~until2p7(s228))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39440, 39439])).
% 14.90/10.65 tff(39442,plain,
% 14.90/10.65 (xuntil2p8(s228) | (~until2p7(s228))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39441, 37556, 39438])).
% 14.90/10.65 tff(39443,plain,
% 14.90/10.65 (~until2p7(s228)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39442, 39436])).
% 14.90/10.65 tff(39444,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39445,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39446,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39445, 39444])).
% 14.90/10.65 tff(39447,plain,
% 14.90/10.65 (until2p7(s228) | (~xuntil2p8(s227))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39446, 17896, 37571])).
% 14.90/10.65 tff(39448,plain,
% 14.90/10.65 (~xuntil2p8(s227)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39447, 39443])).
% 14.90/10.65 tff(39449,plain,
% 14.90/10.65 (~always3(s227)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17904, 39437])).
% 14.90/10.65 tff(39450,plain,
% 14.90/10.65 (~node4(s227)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18081, 36, 39449])).
% 14.90/10.65 tff(39451,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s227) | xuntil2p8(s227) | (~until2p7(s227)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s227) | xuntil2p8(s227) | (~until2p7(s227)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39452,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s227) | xuntil2p8(s227) | (~until2p7(s227)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39453,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s227) | xuntil2p8(s227) | (~until2p7(s227))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39452, 39451])).
% 14.90/10.65 tff(39454,plain,
% 14.90/10.65 (xuntil2p8(s227) | (~until2p7(s227))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39453, 37556, 39450])).
% 14.90/10.65 tff(39455,plain,
% 14.90/10.65 (~until2p7(s227)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39454, 39448])).
% 14.90/10.65 tff(39456,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39457,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39458,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39457, 39456])).
% 14.90/10.65 tff(39459,plain,
% 14.90/10.65 (until2p7(s227) | (~xuntil2p8(s226))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39458, 17908, 37571])).
% 14.90/10.65 tff(39460,plain,
% 14.90/10.65 (~xuntil2p8(s226)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39459, 39455])).
% 14.90/10.65 tff(39461,plain,
% 14.90/10.65 (~always3(s226)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17916, 39449])).
% 14.90/10.65 tff(39462,plain,
% 14.90/10.65 (~node4(s226)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18064, 36, 39461])).
% 14.90/10.65 tff(39463,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s226) | xuntil2p8(s226) | (~until2p7(s226)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s226) | xuntil2p8(s226) | (~until2p7(s226)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39464,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s226) | xuntil2p8(s226) | (~until2p7(s226)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39465,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s226) | xuntil2p8(s226) | (~until2p7(s226))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39464, 39463])).
% 14.90/10.65 tff(39466,plain,
% 14.90/10.65 (xuntil2p8(s226) | (~until2p7(s226))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39465, 37556, 39462])).
% 14.90/10.65 tff(39467,plain,
% 14.90/10.65 (~until2p7(s226)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39466, 39460])).
% 14.90/10.65 tff(39468,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39469,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39470,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39469, 39468])).
% 14.90/10.65 tff(39471,plain,
% 14.90/10.65 (until2p7(s226) | (~xuntil2p8(s225))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39470, 17920, 37571])).
% 14.90/10.65 tff(39472,plain,
% 14.90/10.65 (~xuntil2p8(s225)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39471, 39467])).
% 14.90/10.65 tff(39473,plain,
% 14.90/10.65 (~always3(s225)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17928, 39461])).
% 14.90/10.65 tff(39474,plain,
% 14.90/10.65 (~node4(s225)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18047, 36, 39473])).
% 14.90/10.65 tff(39475,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s225) | xuntil2p8(s225) | (~until2p7(s225)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s225) | xuntil2p8(s225) | (~until2p7(s225)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39476,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s225) | xuntil2p8(s225) | (~until2p7(s225)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39477,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s225) | xuntil2p8(s225) | (~until2p7(s225))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39476, 39475])).
% 14.90/10.65 tff(39478,plain,
% 14.90/10.65 (xuntil2p8(s225) | (~until2p7(s225))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39477, 37556, 39474])).
% 14.90/10.65 tff(39479,plain,
% 14.90/10.65 (~until2p7(s225)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39478, 39472])).
% 14.90/10.65 tff(39480,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39481,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39482,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39481, 39480])).
% 14.90/10.65 tff(39483,plain,
% 14.90/10.65 (until2p7(s225) | (~xuntil2p8(s224))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39482, 17932, 37571])).
% 14.90/10.65 tff(39484,plain,
% 14.90/10.65 (~xuntil2p8(s224)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39483, 39479])).
% 14.90/10.65 tff(39485,plain,
% 14.90/10.65 (~always3(s224)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17940, 39473])).
% 14.90/10.65 tff(39486,plain,
% 14.90/10.65 (~node4(s224)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18030, 36, 39485])).
% 14.90/10.65 tff(39487,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s224) | xuntil2p8(s224) | (~until2p7(s224)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s224) | xuntil2p8(s224) | (~until2p7(s224)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39488,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s224) | xuntil2p8(s224) | (~until2p7(s224)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39489,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s224) | xuntil2p8(s224) | (~until2p7(s224))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39488, 39487])).
% 14.90/10.65 tff(39490,plain,
% 14.90/10.65 (xuntil2p8(s224) | (~until2p7(s224))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39489, 37556, 39486])).
% 14.90/10.65 tff(39491,plain,
% 14.90/10.65 (~until2p7(s224)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39490, 39484])).
% 14.90/10.65 tff(39492,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39493,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39494,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39493, 39492])).
% 14.90/10.65 tff(39495,plain,
% 14.90/10.65 (until2p7(s224) | (~xuntil2p8(s223))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39494, 17944, 37571])).
% 14.90/10.65 tff(39496,plain,
% 14.90/10.65 (~xuntil2p8(s223)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39495, 39491])).
% 14.90/10.65 tff(39497,plain,
% 14.90/10.65 (~always3(s223)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17952, 39485])).
% 14.90/10.65 tff(39498,plain,
% 14.90/10.65 (~node4(s223)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[18013, 36, 39497])).
% 14.90/10.65 tff(39499,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s223) | xuntil2p8(s223) | (~until2p7(s223)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s223) | xuntil2p8(s223) | (~until2p7(s223)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39500,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s223) | xuntil2p8(s223) | (~until2p7(s223)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39501,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s223) | xuntil2p8(s223) | (~until2p7(s223))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39500, 39499])).
% 14.90/10.65 tff(39502,plain,
% 14.90/10.65 (xuntil2p8(s223) | (~until2p7(s223))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39501, 37556, 39498])).
% 14.90/10.65 tff(39503,plain,
% 14.90/10.65 (~until2p7(s223)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39502, 39496])).
% 14.90/10.65 tff(39504,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39505,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39506,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39505, 39504])).
% 14.90/10.65 tff(39507,plain,
% 14.90/10.65 (until2p7(s223) | (~xuntil2p8(s222))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39506, 17956, 37571])).
% 14.90/10.65 tff(39508,plain,
% 14.90/10.65 (~xuntil2p8(s222)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39507, 39503])).
% 14.90/10.65 tff(39509,plain,
% 14.90/10.65 (~always3(s222)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17964, 39497])).
% 14.90/10.65 tff(39510,plain,
% 14.90/10.65 (~node4(s222)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17968, 36, 39509])).
% 14.90/10.65 tff(39511,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s222) | xuntil2p8(s222) | (~until2p7(s222)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s222) | xuntil2p8(s222) | (~until2p7(s222)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39512,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s222) | xuntil2p8(s222) | (~until2p7(s222)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39513,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s222) | xuntil2p8(s222) | (~until2p7(s222))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39512, 39511])).
% 14.90/10.65 tff(39514,plain,
% 14.90/10.65 (xuntil2p8(s222) | (~until2p7(s222))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39513, 37556, 39510])).
% 14.90/10.65 tff(39515,plain,
% 14.90/10.65 (~until2p7(s222)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39514, 39508])).
% 14.90/10.65 tff(39516,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39517,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39518,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39517, 39516])).
% 14.90/10.65 tff(39519,plain,
% 14.90/10.65 (until2p7(s222) | (~xuntil2p8(s221))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39518, 17972, 37571])).
% 14.90/10.65 tff(39520,plain,
% 14.90/10.65 (~xuntil2p8(s221)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39519, 39515])).
% 14.90/10.65 tff(39521,plain,
% 14.90/10.65 (~always3(s221)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17980, 39509])).
% 14.90/10.65 tff(39522,plain,
% 14.90/10.65 (~node4(s221)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[17984, 36, 39521])).
% 14.90/10.65 tff(39523,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s221) | xuntil2p8(s221) | (~until2p7(s221)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s221) | xuntil2p8(s221) | (~until2p7(s221)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39524,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s221) | xuntil2p8(s221) | (~until2p7(s221)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39525,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s221) | xuntil2p8(s221) | (~until2p7(s221))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39524, 39523])).
% 14.90/10.65 tff(39526,plain,
% 14.90/10.65 (xuntil2p8(s221) | (~until2p7(s221))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39525, 37556, 39522])).
% 14.90/10.65 tff(39527,plain,
% 14.90/10.65 (~until2p7(s221)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39526, 39520])).
% 14.90/10.65 tff(39528,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39529,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39530,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39529, 39528])).
% 14.90/10.65 tff(39531,plain,
% 14.90/10.65 (until2p7(s221) | (~xuntil2p8(s220))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39530, 15888, 37571])).
% 14.90/10.65 tff(39532,plain,
% 14.90/10.65 (~xuntil2p8(s220)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39531, 39527])).
% 14.90/10.65 tff(39533,plain,
% 14.90/10.65 (~always3(s220)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[15896, 39521])).
% 14.90/10.65 tff(39534,plain,
% 14.90/10.65 (~node4(s220)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[14883, 36, 39533])).
% 14.90/10.65 tff(39535,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s220) | xuntil2p8(s220) | (~until2p7(s220)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s220) | xuntil2p8(s220) | (~until2p7(s220)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39536,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s220) | xuntil2p8(s220) | (~until2p7(s220)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39537,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s220) | xuntil2p8(s220) | (~until2p7(s220))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39536, 39535])).
% 14.90/10.65 tff(39538,plain,
% 14.90/10.65 (xuntil2p8(s220) | (~until2p7(s220))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39537, 37556, 39534])).
% 14.90/10.65 tff(39539,plain,
% 14.90/10.65 (~until2p7(s220)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39538, 39532])).
% 14.90/10.65 tff(39540,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39541,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39542,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39541, 39540])).
% 14.90/10.65 tff(39543,plain,
% 14.90/10.65 (until2p7(s220) | (~xuntil2p8(s219))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39542, 14867, 37571])).
% 14.90/10.65 tff(39544,plain,
% 14.90/10.65 (~xuntil2p8(s219)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39543, 39539])).
% 14.90/10.65 tff(39545,plain,
% 14.90/10.65 (~always3(s219)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[14875, 39533])).
% 14.90/10.65 tff(39546,plain,
% 14.90/10.65 (~node4(s219)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[14879, 36, 39545])).
% 14.90/10.65 tff(39547,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s219) | xuntil2p8(s219) | (~until2p7(s219)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s219) | xuntil2p8(s219) | (~until2p7(s219)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39548,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s219) | xuntil2p8(s219) | (~until2p7(s219)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39549,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s219) | xuntil2p8(s219) | (~until2p7(s219))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39548, 39547])).
% 14.90/10.65 tff(39550,plain,
% 14.90/10.65 (xuntil2p8(s219) | (~until2p7(s219))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39549, 37556, 39546])).
% 14.90/10.65 tff(39551,plain,
% 14.90/10.65 (~until2p7(s219)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39550, 39544])).
% 14.90/10.65 tff(39552,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39553,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39554,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39553, 39552])).
% 14.90/10.65 tff(39555,plain,
% 14.90/10.65 (until2p7(s219) | (~xuntil2p8(s218))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39554, 14907, 37571])).
% 14.90/10.65 tff(39556,plain,
% 14.90/10.65 (~xuntil2p8(s218)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39555, 39551])).
% 14.90/10.65 tff(39557,plain,
% 14.90/10.65 (~always3(s218)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[14920, 39545])).
% 14.90/10.65 tff(39558,plain,
% 14.90/10.65 (~node4(s218)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[14924, 36, 39557])).
% 14.90/10.65 tff(39559,plain,
% 14.90/10.65 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s218) | xuntil2p8(s218) | (~until2p7(s218)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s218) | xuntil2p8(s218) | (~until2p7(s218)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39560,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s218) | xuntil2p8(s218) | (~until2p7(s218)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39561,plain,
% 14.90/10.65 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s218) | xuntil2p8(s218) | (~until2p7(s218))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39560, 39559])).
% 14.90/10.65 tff(39562,plain,
% 14.90/10.65 (xuntil2p8(s218) | (~until2p7(s218))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39561, 37556, 39558])).
% 14.90/10.65 tff(39563,plain,
% 14.90/10.65 (~until2p7(s218)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39562, 39556])).
% 14.90/10.65 tff(39564,plain,
% 14.90/10.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217)))),
% 14.90/10.65 inference(rewrite,[status(thm)],[])).
% 14.90/10.65 tff(39565,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217)))),
% 14.90/10.65 inference(quant_inst,[status(thm)],[])).
% 14.90/10.65 tff(39566,plain,
% 14.90/10.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217))),
% 14.90/10.65 inference(modus_ponens,[status(thm)],[39565, 39564])).
% 14.90/10.65 tff(39567,plain,
% 14.90/10.65 (until2p7(s218) | (~xuntil2p8(s217))),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39566, 14936, 37571])).
% 14.90/10.65 tff(39568,plain,
% 14.90/10.65 (~xuntil2p8(s217)),
% 14.90/10.65 inference(unit_resolution,[status(thm)],[39567, 39563])).
% 14.90/10.66 tff(39569,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s217) | xuntil2p8(s217) | (~until2p7(s217)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s217) | xuntil2p8(s217) | (~until2p7(s217)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39570,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s217) | xuntil2p8(s217) | (~until2p7(s217)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39571,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s217) | xuntil2p8(s217) | (~until2p7(s217))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39570, 39569])).
% 14.90/10.66 tff(39572,plain,
% 14.90/10.66 (xuntil2p8(s217) | (~until2p7(s217))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39571, 37556, 16015])).
% 14.90/10.66 tff(39573,plain,
% 14.90/10.66 (~until2p7(s217)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39572, 39568])).
% 14.90/10.66 tff(39574,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39575,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39576,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39575, 39574])).
% 14.90/10.66 tff(39577,plain,
% 14.90/10.66 (until2p7(s217) | (~xuntil2p8(s216))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39576, 14965, 37571])).
% 14.90/10.66 tff(39578,plain,
% 14.90/10.66 (~xuntil2p8(s216)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39577, 39573])).
% 14.90/10.66 tff(39579,plain,
% 14.90/10.66 (~always3(s217)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[14949, 39557])).
% 14.90/10.66 tff(39580,plain,
% 14.90/10.66 (~always3(s216)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[14978, 39579])).
% 14.90/10.66 tff(39581,plain,
% 14.90/10.66 (~node4(s216)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[14982, 36, 39580])).
% 14.90/10.66 tff(39582,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s216) | xuntil2p8(s216) | (~until2p7(s216)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s216) | xuntil2p8(s216) | (~until2p7(s216)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39583,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s216) | xuntil2p8(s216) | (~until2p7(s216)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39584,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s216) | xuntil2p8(s216) | (~until2p7(s216))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39583, 39582])).
% 14.90/10.66 tff(39585,plain,
% 14.90/10.66 (xuntil2p8(s216) | (~until2p7(s216))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39584, 37556, 39581])).
% 14.90/10.66 tff(39586,plain,
% 14.90/10.66 (~until2p7(s216)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39585, 39578])).
% 14.90/10.66 tff(39587,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39588,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39589,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39588, 39587])).
% 14.90/10.66 tff(39590,plain,
% 14.90/10.66 (until2p7(s216) | (~xuntil2p8(s215))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39589, 14994, 37571])).
% 14.90/10.66 tff(39591,plain,
% 14.90/10.66 (~xuntil2p8(s215)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39590, 39586])).
% 14.90/10.66 tff(39592,plain,
% 14.90/10.66 (~always3(s215)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15007, 39580])).
% 14.90/10.66 tff(39593,plain,
% 14.90/10.66 (~node4(s215)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15011, 36, 39592])).
% 14.90/10.66 tff(39594,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s215) | xuntil2p8(s215) | (~until2p7(s215)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s215) | xuntil2p8(s215) | (~until2p7(s215)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39595,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s215) | xuntil2p8(s215) | (~until2p7(s215)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39596,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s215) | xuntil2p8(s215) | (~until2p7(s215))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39595, 39594])).
% 14.90/10.66 tff(39597,plain,
% 14.90/10.66 (xuntil2p8(s215) | (~until2p7(s215))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39596, 37556, 39593])).
% 14.90/10.66 tff(39598,plain,
% 14.90/10.66 (~until2p7(s215)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39597, 39591])).
% 14.90/10.66 tff(39599,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39600,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39601,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39600, 39599])).
% 14.90/10.66 tff(39602,plain,
% 14.90/10.66 (until2p7(s215) | (~xuntil2p8(s214))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39601, 15023, 37571])).
% 14.90/10.66 tff(39603,plain,
% 14.90/10.66 (~xuntil2p8(s214)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39602, 39598])).
% 14.90/10.66 tff(39604,plain,
% 14.90/10.66 (~always3(s214)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15036, 39592])).
% 14.90/10.66 tff(39605,plain,
% 14.90/10.66 (~node4(s214)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15040, 36, 39604])).
% 14.90/10.66 tff(39606,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s214) | xuntil2p8(s214) | (~until2p7(s214)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s214) | xuntil2p8(s214) | (~until2p7(s214)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39607,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s214) | xuntil2p8(s214) | (~until2p7(s214)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39608,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s214) | xuntil2p8(s214) | (~until2p7(s214))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39607, 39606])).
% 14.90/10.66 tff(39609,plain,
% 14.90/10.66 (xuntil2p8(s214) | (~until2p7(s214))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39608, 37556, 39605])).
% 14.90/10.66 tff(39610,plain,
% 14.90/10.66 (~until2p7(s214)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39609, 39603])).
% 14.90/10.66 tff(39611,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39612,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39613,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39612, 39611])).
% 14.90/10.66 tff(39614,plain,
% 14.90/10.66 (until2p7(s214) | (~xuntil2p8(s213))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39613, 15052, 37571])).
% 14.90/10.66 tff(39615,plain,
% 14.90/10.66 (~xuntil2p8(s213)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39614, 39610])).
% 14.90/10.66 tff(39616,plain,
% 14.90/10.66 (~always3(s213)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15065, 39604])).
% 14.90/10.66 tff(39617,plain,
% 14.90/10.66 (~node4(s213)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15069, 36, 39616])).
% 14.90/10.66 tff(39618,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s213) | xuntil2p8(s213) | (~until2p7(s213)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s213) | xuntil2p8(s213) | (~until2p7(s213)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39619,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s213) | xuntil2p8(s213) | (~until2p7(s213)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39620,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s213) | xuntil2p8(s213) | (~until2p7(s213))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39619, 39618])).
% 14.90/10.66 tff(39621,plain,
% 14.90/10.66 (xuntil2p8(s213) | (~until2p7(s213))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39620, 37556, 39617])).
% 14.90/10.66 tff(39622,plain,
% 14.90/10.66 (~until2p7(s213)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39621, 39615])).
% 14.90/10.66 tff(39623,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39624,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39625,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39624, 39623])).
% 14.90/10.66 tff(39626,plain,
% 14.90/10.66 (until2p7(s213) | (~xuntil2p8(s212))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39625, 15081, 37571])).
% 14.90/10.66 tff(39627,plain,
% 14.90/10.66 (~xuntil2p8(s212)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39626, 39622])).
% 14.90/10.66 tff(39628,plain,
% 14.90/10.66 (~always3(s212)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15094, 39616])).
% 14.90/10.66 tff(39629,plain,
% 14.90/10.66 (~node4(s212)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15098, 36, 39628])).
% 14.90/10.66 tff(39630,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s212) | xuntil2p8(s212) | (~until2p7(s212)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s212) | xuntil2p8(s212) | (~until2p7(s212)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39631,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s212) | xuntil2p8(s212) | (~until2p7(s212)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39632,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s212) | xuntil2p8(s212) | (~until2p7(s212))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39631, 39630])).
% 14.90/10.66 tff(39633,plain,
% 14.90/10.66 (xuntil2p8(s212) | (~until2p7(s212))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39632, 37556, 39629])).
% 14.90/10.66 tff(39634,plain,
% 14.90/10.66 (~until2p7(s212)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39633, 39627])).
% 14.90/10.66 tff(39635,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39636,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39637,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39636, 39635])).
% 14.90/10.66 tff(39638,plain,
% 14.90/10.66 (until2p7(s212) | (~xuntil2p8(s211))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39637, 15110, 37571])).
% 14.90/10.66 tff(39639,plain,
% 14.90/10.66 (~xuntil2p8(s211)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39638, 39634])).
% 14.90/10.66 tff(39640,plain,
% 14.90/10.66 (~always3(s211)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15123, 39628])).
% 14.90/10.66 tff(39641,plain,
% 14.90/10.66 (~node4(s211)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15127, 36, 39640])).
% 14.90/10.66 tff(39642,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s211) | xuntil2p8(s211) | (~until2p7(s211)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s211) | xuntil2p8(s211) | (~until2p7(s211)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39643,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s211) | xuntil2p8(s211) | (~until2p7(s211)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39644,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s211) | xuntil2p8(s211) | (~until2p7(s211))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39643, 39642])).
% 14.90/10.66 tff(39645,plain,
% 14.90/10.66 (xuntil2p8(s211) | (~until2p7(s211))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39644, 37556, 39641])).
% 14.90/10.66 tff(39646,plain,
% 14.90/10.66 (~until2p7(s211)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39645, 39639])).
% 14.90/10.66 tff(39647,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39648,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39649,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39648, 39647])).
% 14.90/10.66 tff(39650,plain,
% 14.90/10.66 (until2p7(s211) | (~xuntil2p8(s210))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39649, 15139, 37571])).
% 14.90/10.66 tff(39651,plain,
% 14.90/10.66 (~xuntil2p8(s210)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39650, 39646])).
% 14.90/10.66 tff(39652,plain,
% 14.90/10.66 (~always3(s210)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15152, 39640])).
% 14.90/10.66 tff(39653,plain,
% 14.90/10.66 (~node4(s210)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15156, 36, 39652])).
% 14.90/10.66 tff(39654,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s210) | xuntil2p8(s210) | (~until2p7(s210)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s210) | xuntil2p8(s210) | (~until2p7(s210)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39655,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s210) | xuntil2p8(s210) | (~until2p7(s210)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39656,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s210) | xuntil2p8(s210) | (~until2p7(s210))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39655, 39654])).
% 14.90/10.66 tff(39657,plain,
% 14.90/10.66 (xuntil2p8(s210) | (~until2p7(s210))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39656, 37556, 39653])).
% 14.90/10.66 tff(39658,plain,
% 14.90/10.66 (~until2p7(s210)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39657, 39651])).
% 14.90/10.66 tff(39659,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39660,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39661,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39660, 39659])).
% 14.90/10.66 tff(39662,plain,
% 14.90/10.66 (until2p7(s210) | (~xuntil2p8(s209))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39661, 14824, 37571])).
% 14.90/10.66 tff(39663,plain,
% 14.90/10.66 (~xuntil2p8(s209)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39662, 39658])).
% 14.90/10.66 tff(39664,plain,
% 14.90/10.66 (~always3(s209)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[14832, 39652])).
% 14.90/10.66 tff(39665,plain,
% 14.90/10.66 (~node4(s209)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[14820, 36, 39664])).
% 14.90/10.66 tff(39666,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s209) | xuntil2p8(s209) | (~until2p7(s209)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s209) | xuntil2p8(s209) | (~until2p7(s209)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39667,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s209) | xuntil2p8(s209) | (~until2p7(s209)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39668,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s209) | xuntil2p8(s209) | (~until2p7(s209))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39667, 39666])).
% 14.90/10.66 tff(39669,plain,
% 14.90/10.66 (xuntil2p8(s209) | (~until2p7(s209))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39668, 37556, 39665])).
% 14.90/10.66 tff(39670,plain,
% 14.90/10.66 (~until2p7(s209)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39669, 39663])).
% 14.90/10.66 tff(39671,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39672,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39673,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39672, 39671])).
% 14.90/10.66 tff(39674,plain,
% 14.90/10.66 (until2p7(s209) | (~xuntil2p8(s208))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39673, 15183, 37571])).
% 14.90/10.66 tff(39675,plain,
% 14.90/10.66 (~xuntil2p8(s208)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39674, 39670])).
% 14.90/10.66 tff(39676,plain,
% 14.90/10.66 (~always3(s208)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15196, 39664])).
% 14.90/10.66 tff(39677,plain,
% 14.90/10.66 (~node4(s208)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15200, 36, 39676])).
% 14.90/10.66 tff(39678,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s208) | xuntil2p8(s208) | (~until2p7(s208)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s208) | xuntil2p8(s208) | (~until2p7(s208)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39679,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s208) | xuntil2p8(s208) | (~until2p7(s208)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39680,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s208) | xuntil2p8(s208) | (~until2p7(s208))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39679, 39678])).
% 14.90/10.66 tff(39681,plain,
% 14.90/10.66 (xuntil2p8(s208) | (~until2p7(s208))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39680, 37556, 39677])).
% 14.90/10.66 tff(39682,plain,
% 14.90/10.66 (~until2p7(s208)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39681, 39675])).
% 14.90/10.66 tff(39683,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39684,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39685,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39684, 39683])).
% 14.90/10.66 tff(39686,plain,
% 14.90/10.66 (until2p7(s208) | (~xuntil2p8(s207))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39685, 15212, 37571])).
% 14.90/10.66 tff(39687,plain,
% 14.90/10.66 (~xuntil2p8(s207)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39686, 39682])).
% 14.90/10.66 tff(39688,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s207) | xuntil2p8(s207) | (~until2p7(s207)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s207) | xuntil2p8(s207) | (~until2p7(s207)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39689,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s207) | xuntil2p8(s207) | (~until2p7(s207)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39690,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s207) | xuntil2p8(s207) | (~until2p7(s207))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39689, 39688])).
% 14.90/10.66 tff(39691,plain,
% 14.90/10.66 (xuntil2p8(s207) | (~until2p7(s207))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39690, 37556, 17112])).
% 14.90/10.66 tff(39692,plain,
% 14.90/10.66 (~until2p7(s207)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39691, 39687])).
% 14.90/10.66 tff(39693,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39694,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39695,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39694, 39693])).
% 14.90/10.66 tff(39696,plain,
% 14.90/10.66 (until2p7(s207) | (~xuntil2p8(s206))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39695, 15241, 37571])).
% 14.90/10.66 tff(39697,plain,
% 14.90/10.66 (~xuntil2p8(s206)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39696, 39692])).
% 14.90/10.66 tff(39698,plain,
% 14.90/10.66 (~always3(s207)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15225, 39676])).
% 14.90/10.66 tff(39699,plain,
% 14.90/10.66 (~always3(s206)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15254, 39698])).
% 14.90/10.66 tff(39700,plain,
% 14.90/10.66 (~node4(s206)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15258, 36, 39699])).
% 14.90/10.66 tff(39701,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s206) | xuntil2p8(s206) | (~until2p7(s206)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s206) | xuntil2p8(s206) | (~until2p7(s206)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39702,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s206) | xuntil2p8(s206) | (~until2p7(s206)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39703,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s206) | xuntil2p8(s206) | (~until2p7(s206))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39702, 39701])).
% 14.90/10.66 tff(39704,plain,
% 14.90/10.66 (xuntil2p8(s206) | (~until2p7(s206))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39703, 37556, 39700])).
% 14.90/10.66 tff(39705,plain,
% 14.90/10.66 (~until2p7(s206)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39704, 39697])).
% 14.90/10.66 tff(39706,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39707,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39708,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39707, 39706])).
% 14.90/10.66 tff(39709,plain,
% 14.90/10.66 (until2p7(s206) | (~xuntil2p8(s205))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39708, 15270, 37571])).
% 14.90/10.66 tff(39710,plain,
% 14.90/10.66 (~xuntil2p8(s205)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39709, 39705])).
% 14.90/10.66 tff(39711,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s205) | xuntil2p8(s205) | (~until2p7(s205)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s205) | xuntil2p8(s205) | (~until2p7(s205)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39712,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s205) | xuntil2p8(s205) | (~until2p7(s205)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39713,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s205) | xuntil2p8(s205) | (~until2p7(s205))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39712, 39711])).
% 14.90/10.66 tff(39714,plain,
% 14.90/10.66 (xuntil2p8(s205) | (~until2p7(s205))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39713, 37556, 17048])).
% 14.90/10.66 tff(39715,plain,
% 14.90/10.66 (~until2p7(s205)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39714, 39710])).
% 14.90/10.66 tff(39716,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39717,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39718,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39717, 39716])).
% 14.90/10.66 tff(39719,plain,
% 14.90/10.66 (until2p7(s205) | (~xuntil2p8(s204))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39718, 15299, 37571])).
% 14.90/10.66 tff(39720,plain,
% 14.90/10.66 (~xuntil2p8(s204)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39719, 39715])).
% 14.90/10.66 tff(39721,plain,
% 14.90/10.66 (~always3(s205)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15283, 39699])).
% 14.90/10.66 tff(39722,plain,
% 14.90/10.66 (~always3(s204)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15312, 39721])).
% 14.90/10.66 tff(39723,plain,
% 14.90/10.66 (~node4(s204)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15316, 36, 39722])).
% 14.90/10.66 tff(39724,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s204) | xuntil2p8(s204) | (~until2p7(s204)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s204) | xuntil2p8(s204) | (~until2p7(s204)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39725,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s204) | xuntil2p8(s204) | (~until2p7(s204)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39726,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s204) | xuntil2p8(s204) | (~until2p7(s204))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39725, 39724])).
% 14.90/10.66 tff(39727,plain,
% 14.90/10.66 (xuntil2p8(s204) | (~until2p7(s204))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39726, 37556, 39723])).
% 14.90/10.66 tff(39728,plain,
% 14.90/10.66 (~until2p7(s204)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39727, 39720])).
% 14.90/10.66 tff(39729,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39730,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39731,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39730, 39729])).
% 14.90/10.66 tff(39732,plain,
% 14.90/10.66 (until2p7(s204) | (~xuntil2p8(s203))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39731, 15328, 37571])).
% 14.90/10.66 tff(39733,plain,
% 14.90/10.66 (~xuntil2p8(s203)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39732, 39728])).
% 14.90/10.66 tff(39734,plain,
% 14.90/10.66 (~always3(s203)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15341, 39722])).
% 14.90/10.66 tff(39735,plain,
% 14.90/10.66 (~node4(s203)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15345, 36, 39734])).
% 14.90/10.66 tff(39736,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s203) | xuntil2p8(s203) | (~until2p7(s203)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s203) | xuntil2p8(s203) | (~until2p7(s203)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39737,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s203) | xuntil2p8(s203) | (~until2p7(s203)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39738,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s203) | xuntil2p8(s203) | (~until2p7(s203))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39737, 39736])).
% 14.90/10.66 tff(39739,plain,
% 14.90/10.66 (xuntil2p8(s203) | (~until2p7(s203))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39738, 37556, 39735])).
% 14.90/10.66 tff(39740,plain,
% 14.90/10.66 (~until2p7(s203)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39739, 39733])).
% 14.90/10.66 tff(39741,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39742,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39743,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39742, 39741])).
% 14.90/10.66 tff(39744,plain,
% 14.90/10.66 (until2p7(s203) | (~xuntil2p8(s202))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39743, 15357, 37571])).
% 14.90/10.66 tff(39745,plain,
% 14.90/10.66 (~xuntil2p8(s202)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39744, 39740])).
% 14.90/10.66 tff(39746,plain,
% 14.90/10.66 (~always3(s202)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15370, 39734])).
% 14.90/10.66 tff(39747,plain,
% 14.90/10.66 (~node4(s202)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15867, 36, 39746])).
% 14.90/10.66 tff(39748,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s202) | xuntil2p8(s202) | (~until2p7(s202)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s202) | xuntil2p8(s202) | (~until2p7(s202)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39749,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s202) | xuntil2p8(s202) | (~until2p7(s202)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39750,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s202) | xuntil2p8(s202) | (~until2p7(s202))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39749, 39748])).
% 14.90/10.66 tff(39751,plain,
% 14.90/10.66 (xuntil2p8(s202) | (~until2p7(s202))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39750, 37556, 39747])).
% 14.90/10.66 tff(39752,plain,
% 14.90/10.66 (~until2p7(s202)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39751, 39745])).
% 14.90/10.66 tff(39753,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39754,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39755,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39754, 39753])).
% 14.90/10.66 tff(39756,plain,
% 14.90/10.66 (until2p7(s202) | (~xuntil2p8(s201))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39755, 15374, 37571])).
% 14.90/10.66 tff(39757,plain,
% 14.90/10.66 (~xuntil2p8(s201)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39756, 39752])).
% 14.90/10.66 tff(39758,plain,
% 14.90/10.66 (~always3(s201)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15382, 39746])).
% 14.90/10.66 tff(39759,plain,
% 14.90/10.66 (~node4(s201)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15850, 36, 39758])).
% 14.90/10.66 tff(39760,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s201) | xuntil2p8(s201) | (~until2p7(s201)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s201) | xuntil2p8(s201) | (~until2p7(s201)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39761,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s201) | xuntil2p8(s201) | (~until2p7(s201)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39762,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s201) | xuntil2p8(s201) | (~until2p7(s201))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39761, 39760])).
% 14.90/10.66 tff(39763,plain,
% 14.90/10.66 (xuntil2p8(s201) | (~until2p7(s201))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39762, 37556, 39759])).
% 14.90/10.66 tff(39764,plain,
% 14.90/10.66 (~until2p7(s201)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39763, 39757])).
% 14.90/10.66 tff(39765,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39766,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39767,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39766, 39765])).
% 14.90/10.66 tff(39768,plain,
% 14.90/10.66 (until2p7(s201) | (~xuntil2p8(s200))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39767, 15386, 37571])).
% 14.90/10.66 tff(39769,plain,
% 14.90/10.66 (~xuntil2p8(s200)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39768, 39764])).
% 14.90/10.66 tff(39770,plain,
% 14.90/10.66 (~always3(s200)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15394, 39758])).
% 14.90/10.66 tff(39771,plain,
% 14.90/10.66 (~node4(s200)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15833, 36, 39770])).
% 14.90/10.66 tff(39772,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s200) | xuntil2p8(s200) | (~until2p7(s200)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s200) | xuntil2p8(s200) | (~until2p7(s200)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39773,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s200) | xuntil2p8(s200) | (~until2p7(s200)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39774,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s200) | xuntil2p8(s200) | (~until2p7(s200))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39773, 39772])).
% 14.90/10.66 tff(39775,plain,
% 14.90/10.66 (xuntil2p8(s200) | (~until2p7(s200))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39774, 37556, 39771])).
% 14.90/10.66 tff(39776,plain,
% 14.90/10.66 (~until2p7(s200)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39775, 39769])).
% 14.90/10.66 tff(39777,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39778,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39779,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39778, 39777])).
% 14.90/10.66 tff(39780,plain,
% 14.90/10.66 (until2p7(s200) | (~xuntil2p8(s199))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39779, 15398, 37571])).
% 14.90/10.66 tff(39781,plain,
% 14.90/10.66 (~xuntil2p8(s199)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39780, 39776])).
% 14.90/10.66 tff(39782,plain,
% 14.90/10.66 (~always3(s199)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15406, 39770])).
% 14.90/10.66 tff(39783,plain,
% 14.90/10.66 (~node4(s199)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[15816, 36, 39782])).
% 14.90/10.66 tff(39784,plain,
% 14.90/10.66 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39785,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39786,plain,
% 14.90/10.66 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s199) | xuntil2p8(s199) | (~until2p7(s199))),
% 14.90/10.66 inference(modus_ponens,[status(thm)],[39785, 39784])).
% 14.90/10.66 tff(39787,plain,
% 14.90/10.66 (xuntil2p8(s199) | (~until2p7(s199))),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39786, 37556, 39783])).
% 14.90/10.66 tff(39788,plain,
% 14.90/10.66 (~until2p7(s199)),
% 14.90/10.66 inference(unit_resolution,[status(thm)],[39787, 39781])).
% 14.90/10.66 tff(39789,plain,
% 14.90/10.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))),
% 14.90/10.66 inference(rewrite,[status(thm)],[])).
% 14.90/10.66 tff(39790,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))),
% 14.90/10.66 inference(quant_inst,[status(thm)],[])).
% 14.90/10.66 tff(39791,plain,
% 14.90/10.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39790, 39789])).
% 14.90/10.67 tff(39792,plain,
% 14.90/10.67 (until2p7(s199) | (~xuntil2p8(s198))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39791, 15410, 37571])).
% 14.90/10.67 tff(39793,plain,
% 14.90/10.67 (~xuntil2p8(s198)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39792, 39788])).
% 14.90/10.67 tff(39794,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39795,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39796,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s198) | xuntil2p8(s198) | (~until2p7(s198))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39795, 39794])).
% 14.90/10.67 tff(39797,plain,
% 14.90/10.67 (xuntil2p8(s198) | (~until2p7(s198))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39796, 37556, 16463])).
% 14.90/10.67 tff(39798,plain,
% 14.90/10.67 (~until2p7(s198)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39797, 39793])).
% 14.90/10.67 tff(39799,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39800,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39801,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39800, 39799])).
% 14.90/10.67 tff(39802,plain,
% 14.90/10.67 (until2p7(s198) | (~xuntil2p8(s197))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39801, 15422, 37571])).
% 14.90/10.67 tff(39803,plain,
% 14.90/10.67 (~xuntil2p8(s197)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39802, 39798])).
% 14.90/10.67 tff(39804,plain,
% 14.90/10.67 (~always3(s198)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15418, 39782])).
% 14.90/10.67 tff(39805,plain,
% 14.90/10.67 (~always3(s197)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15430, 39804])).
% 14.90/10.67 tff(39806,plain,
% 14.90/10.67 (~node4(s197)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15782, 36, 39805])).
% 14.90/10.67 tff(39807,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39808,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39809,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s197) | xuntil2p8(s197) | (~until2p7(s197))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39808, 39807])).
% 14.90/10.67 tff(39810,plain,
% 14.90/10.67 (xuntil2p8(s197) | (~until2p7(s197))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39809, 37556, 39806])).
% 14.90/10.67 tff(39811,plain,
% 14.90/10.67 (~until2p7(s197)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39810, 39803])).
% 14.90/10.67 tff(39812,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39813,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39814,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39813, 39812])).
% 14.90/10.67 tff(39815,plain,
% 14.90/10.67 (until2p7(s197) | (~xuntil2p8(s196))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39814, 14726, 37571])).
% 14.90/10.67 tff(39816,plain,
% 14.90/10.67 (~xuntil2p8(s196)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39815, 39811])).
% 14.90/10.67 tff(39817,plain,
% 14.90/10.67 (~always3(s196)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14734, 39805])).
% 14.90/10.67 tff(39818,plain,
% 14.90/10.67 (~node4(s196)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14722, 36, 39817])).
% 14.90/10.67 tff(39819,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39820,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39821,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s196) | xuntil2p8(s196) | (~until2p7(s196))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39820, 39819])).
% 14.90/10.67 tff(39822,plain,
% 14.90/10.67 (xuntil2p8(s196) | (~until2p7(s196))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39821, 37556, 39818])).
% 14.90/10.67 tff(39823,plain,
% 14.90/10.67 (~until2p7(s196)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39822, 39816])).
% 14.90/10.67 tff(39824,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39825,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39826,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39825, 39824])).
% 14.90/10.67 tff(39827,plain,
% 14.90/10.67 (until2p7(s196) | (~xuntil2p8(s195))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39826, 15435, 37571])).
% 14.90/10.67 tff(39828,plain,
% 14.90/10.67 (~xuntil2p8(s195)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39827, 39823])).
% 14.90/10.67 tff(39829,plain,
% 14.90/10.67 (~always3(s195)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15443, 39817])).
% 14.90/10.67 tff(39830,plain,
% 14.90/10.67 (~node4(s195)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15751, 36, 39829])).
% 14.90/10.67 tff(39831,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39832,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39833,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s195) | xuntil2p8(s195) | (~until2p7(s195))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39832, 39831])).
% 14.90/10.67 tff(39834,plain,
% 14.90/10.67 (xuntil2p8(s195) | (~until2p7(s195))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39833, 37556, 39830])).
% 14.90/10.67 tff(39835,plain,
% 14.90/10.67 (~until2p7(s195)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39834, 39828])).
% 14.90/10.67 tff(39836,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39837,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39838,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39837, 39836])).
% 14.90/10.67 tff(39839,plain,
% 14.90/10.67 (until2p7(s195) | (~xuntil2p8(s194))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39838, 14775, 37571])).
% 14.90/10.67 tff(39840,plain,
% 14.90/10.67 (~xuntil2p8(s194)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39839, 39835])).
% 14.90/10.67 tff(39841,plain,
% 14.90/10.67 (~always3(s194)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14783, 39829])).
% 14.90/10.67 tff(39842,plain,
% 14.90/10.67 (~node4(s194)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14771, 36, 39841])).
% 14.90/10.67 tff(39843,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39844,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39845,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s194) | xuntil2p8(s194) | (~until2p7(s194))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39844, 39843])).
% 14.90/10.67 tff(39846,plain,
% 14.90/10.67 (xuntil2p8(s194) | (~until2p7(s194))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39845, 37556, 39842])).
% 14.90/10.67 tff(39847,plain,
% 14.90/10.67 (~until2p7(s194)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39846, 39840])).
% 14.90/10.67 tff(39848,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39849,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39850,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39849, 39848])).
% 14.90/10.67 tff(39851,plain,
% 14.90/10.67 (until2p7(s194) | (~xuntil2p8(s193))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39850, 15448, 37571])).
% 14.90/10.67 tff(39852,plain,
% 14.90/10.67 (~xuntil2p8(s193)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39851, 39847])).
% 14.90/10.67 tff(39853,plain,
% 14.90/10.67 (~always3(s193)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15456, 39841])).
% 14.90/10.67 tff(39854,plain,
% 14.90/10.67 (~node4(s193)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15720, 36, 39853])).
% 14.90/10.67 tff(39855,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39856,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39857,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s193) | xuntil2p8(s193) | (~until2p7(s193))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39856, 39855])).
% 14.90/10.67 tff(39858,plain,
% 14.90/10.67 (xuntil2p8(s193) | (~until2p7(s193))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39857, 37556, 39854])).
% 14.90/10.67 tff(39859,plain,
% 14.90/10.67 (~until2p7(s193)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39858, 39852])).
% 14.90/10.67 tff(39860,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39861,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39862,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39861, 39860])).
% 14.90/10.67 tff(39863,plain,
% 14.90/10.67 (until2p7(s193) | (~xuntil2p8(s192))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39862, 15460, 37571])).
% 14.90/10.67 tff(39864,plain,
% 14.90/10.67 (~xuntil2p8(s192)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39863, 39859])).
% 14.90/10.67 tff(39865,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39866,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39867,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s192) | xuntil2p8(s192) | (~until2p7(s192))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39866, 39865])).
% 14.90/10.67 tff(39868,plain,
% 14.90/10.67 (xuntil2p8(s192) | (~until2p7(s192))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39867, 37556, 16600])).
% 14.90/10.67 tff(39869,plain,
% 14.90/10.67 (~until2p7(s192)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39868, 39864])).
% 14.90/10.67 tff(39870,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39871,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39872,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39871, 39870])).
% 14.90/10.67 tff(39873,plain,
% 14.90/10.67 (until2p7(s192) | (~xuntil2p8(s191))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39872, 15472, 37571])).
% 14.90/10.67 tff(39874,plain,
% 14.90/10.67 (~xuntil2p8(s191)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39873, 39869])).
% 14.90/10.67 tff(39875,plain,
% 14.90/10.67 (~always3(s192)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15468, 39853])).
% 14.90/10.67 tff(39876,plain,
% 14.90/10.67 (~always3(s191)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15480, 39875])).
% 14.90/10.67 tff(39877,plain,
% 14.90/10.67 (~node4(s191)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15686, 36, 39876])).
% 14.90/10.67 tff(39878,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39879,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39880,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s191) | xuntil2p8(s191) | (~until2p7(s191))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39879, 39878])).
% 14.90/10.67 tff(39881,plain,
% 14.90/10.67 (xuntil2p8(s191) | (~until2p7(s191))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39880, 37556, 39877])).
% 14.90/10.67 tff(39882,plain,
% 14.90/10.67 (~until2p7(s191)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39881, 39874])).
% 14.90/10.67 tff(39883,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39884,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39885,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39884, 39883])).
% 14.90/10.67 tff(39886,plain,
% 14.90/10.67 (until2p7(s191) | (~xuntil2p8(s190))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39885, 15484, 37571])).
% 14.90/10.67 tff(39887,plain,
% 14.90/10.67 (~xuntil2p8(s190)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39886, 39882])).
% 14.90/10.67 tff(39888,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39889,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39890,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s190) | xuntil2p8(s190) | (~until2p7(s190))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39889, 39888])).
% 14.90/10.67 tff(39891,plain,
% 14.90/10.67 (xuntil2p8(s190) | (~until2p7(s190))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39890, 37556, 16675])).
% 14.90/10.67 tff(39892,plain,
% 14.90/10.67 (~until2p7(s190)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39891, 39887])).
% 14.90/10.67 tff(39893,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39894,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39895,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39894, 39893])).
% 14.90/10.67 tff(39896,plain,
% 14.90/10.67 (until2p7(s190) | (~xuntil2p8(s189))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39895, 15496, 37571])).
% 14.90/10.67 tff(39897,plain,
% 14.90/10.67 (~xuntil2p8(s189)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39896, 39892])).
% 14.90/10.67 tff(39898,plain,
% 14.90/10.67 (~always3(s190)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15492, 39876])).
% 14.90/10.67 tff(39899,plain,
% 14.90/10.67 (~always3(s189)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15504, 39898])).
% 14.90/10.67 tff(39900,plain,
% 14.90/10.67 (~node4(s189)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15652, 36, 39899])).
% 14.90/10.67 tff(39901,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39902,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39903,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s189) | xuntil2p8(s189) | (~until2p7(s189))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39902, 39901])).
% 14.90/10.67 tff(39904,plain,
% 14.90/10.67 (xuntil2p8(s189) | (~until2p7(s189))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39903, 37556, 39900])).
% 14.90/10.67 tff(39905,plain,
% 14.90/10.67 (~until2p7(s189)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39904, 39897])).
% 14.90/10.67 tff(39906,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39907,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39908,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39907, 39906])).
% 14.90/10.67 tff(39909,plain,
% 14.90/10.67 (until2p7(s189) | (~xuntil2p8(s188))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39908, 15508, 37571])).
% 14.90/10.67 tff(39910,plain,
% 14.90/10.67 (~xuntil2p8(s188)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39909, 39905])).
% 14.90/10.67 tff(39911,plain,
% 14.90/10.67 (~always3(s188)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15516, 39899])).
% 14.90/10.67 tff(39912,plain,
% 14.90/10.67 (~node4(s188)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15635, 36, 39911])).
% 14.90/10.67 tff(39913,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39914,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39915,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s188) | xuntil2p8(s188) | (~until2p7(s188))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39914, 39913])).
% 14.90/10.67 tff(39916,plain,
% 14.90/10.67 (xuntil2p8(s188) | (~until2p7(s188))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39915, 37556, 39912])).
% 14.90/10.67 tff(39917,plain,
% 14.90/10.67 (~until2p7(s188)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39916, 39910])).
% 14.90/10.67 tff(39918,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39919,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39920,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39919, 39918])).
% 14.90/10.67 tff(39921,plain,
% 14.90/10.67 (until2p7(s188) | (~xuntil2p8(s187))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39920, 15520, 37571])).
% 14.90/10.67 tff(39922,plain,
% 14.90/10.67 (~xuntil2p8(s187)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39921, 39917])).
% 14.90/10.67 tff(39923,plain,
% 14.90/10.67 (~always3(s187)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15528, 39911])).
% 14.90/10.67 tff(39924,plain,
% 14.90/10.67 (~node4(s187)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15618, 36, 39923])).
% 14.90/10.67 tff(39925,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39926,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39927,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s187) | xuntil2p8(s187) | (~until2p7(s187))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39926, 39925])).
% 14.90/10.67 tff(39928,plain,
% 14.90/10.67 (xuntil2p8(s187) | (~until2p7(s187))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39927, 37556, 39924])).
% 14.90/10.67 tff(39929,plain,
% 14.90/10.67 (~until2p7(s187)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39928, 39922])).
% 14.90/10.67 tff(39930,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39931,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39932,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39931, 39930])).
% 14.90/10.67 tff(39933,plain,
% 14.90/10.67 (until2p7(s187) | (~xuntil2p8(s186))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39932, 15532, 37571])).
% 14.90/10.67 tff(39934,plain,
% 14.90/10.67 (~xuntil2p8(s186)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39933, 39929])).
% 14.90/10.67 tff(39935,plain,
% 14.90/10.67 (~always3(s186)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15540, 39923])).
% 14.90/10.67 tff(39936,plain,
% 14.90/10.67 (~node4(s186)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15601, 36, 39935])).
% 14.90/10.67 tff(39937,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39938,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39939,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s186) | xuntil2p8(s186) | (~until2p7(s186))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39938, 39937])).
% 14.90/10.67 tff(39940,plain,
% 14.90/10.67 (xuntil2p8(s186) | (~until2p7(s186))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39939, 37556, 39936])).
% 14.90/10.67 tff(39941,plain,
% 14.90/10.67 (~until2p7(s186)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39940, 39934])).
% 14.90/10.67 tff(39942,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39943,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39944,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39943, 39942])).
% 14.90/10.67 tff(39945,plain,
% 14.90/10.67 (until2p7(s186) | (~xuntil2p8(s185))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39944, 15544, 37571])).
% 14.90/10.67 tff(39946,plain,
% 14.90/10.67 (~xuntil2p8(s185)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39945, 39941])).
% 14.90/10.67 tff(39947,plain,
% 14.90/10.67 (~always3(s185)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15552, 39935])).
% 14.90/10.67 tff(39948,plain,
% 14.90/10.67 (~node4(s185)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15556, 36, 39947])).
% 14.90/10.67 tff(39949,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39950,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39951,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s185) | xuntil2p8(s185) | (~until2p7(s185))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39950, 39949])).
% 14.90/10.67 tff(39952,plain,
% 14.90/10.67 (xuntil2p8(s185) | (~until2p7(s185))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39951, 37556, 39948])).
% 14.90/10.67 tff(39953,plain,
% 14.90/10.67 (~until2p7(s185)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39952, 39946])).
% 14.90/10.67 tff(39954,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39955,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39956,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39955, 39954])).
% 14.90/10.67 tff(39957,plain,
% 14.90/10.67 (until2p7(s185) | (~xuntil2p8(s184))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39956, 15560, 37571])).
% 14.90/10.67 tff(39958,plain,
% 14.90/10.67 (~xuntil2p8(s184)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39957, 39953])).
% 14.90/10.67 tff(39959,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39960,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39961,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s184) | xuntil2p8(s184) | (~until2p7(s184))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39960, 39959])).
% 14.90/10.67 tff(39962,plain,
% 14.90/10.67 (xuntil2p8(s184) | (~until2p7(s184))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39961, 37556, 16822])).
% 14.90/10.67 tff(39963,plain,
% 14.90/10.67 (~until2p7(s184)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39962, 39958])).
% 14.90/10.67 tff(39964,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39965,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39966,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39965, 39964])).
% 14.90/10.67 tff(39967,plain,
% 14.90/10.67 (until2p7(s184) | (~xuntil2p8(s183))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39966, 14475, 37571])).
% 14.90/10.67 tff(39968,plain,
% 14.90/10.67 (~xuntil2p8(s183)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39967, 39963])).
% 14.90/10.67 tff(39969,plain,
% 14.90/10.67 (~always3(s184)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[15568, 39947])).
% 14.90/10.67 tff(39970,plain,
% 14.90/10.67 (~always3(s183)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14483, 39969])).
% 14.90/10.67 tff(39971,plain,
% 14.90/10.67 (~node4(s183)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14159, 36, 39970])).
% 14.90/10.67 tff(39972,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39973,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39974,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s183) | xuntil2p8(s183) | (~until2p7(s183))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39973, 39972])).
% 14.90/10.67 tff(39975,plain,
% 14.90/10.67 (xuntil2p8(s183) | (~until2p7(s183))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39974, 37556, 39971])).
% 14.90/10.67 tff(39976,plain,
% 14.90/10.67 (~until2p7(s183)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39975, 39968])).
% 14.90/10.67 tff(39977,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39978,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39979,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39978, 39977])).
% 14.90/10.67 tff(39980,plain,
% 14.90/10.67 (until2p7(s183) | (~xuntil2p8(s182))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39979, 14143, 37571])).
% 14.90/10.67 tff(39981,plain,
% 14.90/10.67 (~xuntil2p8(s182)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39980, 39976])).
% 14.90/10.67 tff(39982,plain,
% 14.90/10.67 (~always3(s182)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14151, 39970])).
% 14.90/10.67 tff(39983,plain,
% 14.90/10.67 (~node4(s182)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14155, 36, 39982])).
% 14.90/10.67 tff(39984,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39985,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39986,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s182) | xuntil2p8(s182) | (~until2p7(s182))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39985, 39984])).
% 14.90/10.67 tff(39987,plain,
% 14.90/10.67 (xuntil2p8(s182) | (~until2p7(s182))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39986, 37556, 39983])).
% 14.90/10.67 tff(39988,plain,
% 14.90/10.67 (~until2p7(s182)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39987, 39981])).
% 14.90/10.67 tff(39989,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39990,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39991,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39990, 39989])).
% 14.90/10.67 tff(39992,plain,
% 14.90/10.67 (until2p7(s182) | (~xuntil2p8(s181))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39991, 14183, 37571])).
% 14.90/10.67 tff(39993,plain,
% 14.90/10.67 (~xuntil2p8(s181)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39992, 39988])).
% 14.90/10.67 tff(39994,plain,
% 14.90/10.67 (~always3(s181)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14196, 39982])).
% 14.90/10.67 tff(39995,plain,
% 14.90/10.67 (~node4(s181)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14200, 36, 39994])).
% 14.90/10.67 tff(39996,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(39997,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(39998,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s181) | xuntil2p8(s181) | (~until2p7(s181))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[39997, 39996])).
% 14.90/10.67 tff(39999,plain,
% 14.90/10.67 (xuntil2p8(s181) | (~until2p7(s181))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39998, 37556, 39995])).
% 14.90/10.67 tff(40000,plain,
% 14.90/10.67 (~until2p7(s181)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[39999, 39993])).
% 14.90/10.67 tff(40001,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(40002,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(40003,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[40002, 40001])).
% 14.90/10.67 tff(40004,plain,
% 14.90/10.67 (until2p7(s181) | (~xuntil2p8(s180))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[40003, 14212, 37571])).
% 14.90/10.67 tff(40005,plain,
% 14.90/10.67 (~xuntil2p8(s180)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[40004, 40000])).
% 14.90/10.67 tff(40006,plain,
% 14.90/10.67 (~always3(s180)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14225, 39994])).
% 14.90/10.67 tff(40007,plain,
% 14.90/10.67 (~node4(s180)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[14229, 36, 40006])).
% 14.90/10.67 tff(40008,plain,
% 14.90/10.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(40009,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))),
% 14.90/10.67 inference(quant_inst,[status(thm)],[])).
% 14.90/10.67 tff(40010,plain,
% 14.90/10.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s180) | xuntil2p8(s180) | (~until2p7(s180))),
% 14.90/10.67 inference(modus_ponens,[status(thm)],[40009, 40008])).
% 14.90/10.67 tff(40011,plain,
% 14.90/10.67 (xuntil2p8(s180) | (~until2p7(s180))),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[40010, 37556, 40007])).
% 14.90/10.67 tff(40012,plain,
% 14.90/10.67 (~until2p7(s180)),
% 14.90/10.67 inference(unit_resolution,[status(thm)],[40011, 40005])).
% 14.90/10.67 tff(40013,plain,
% 14.90/10.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))),
% 14.90/10.67 inference(rewrite,[status(thm)],[])).
% 14.90/10.67 tff(40014,plain,
% 14.90/10.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40015,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40014, 40013])).
% 14.90/10.68 tff(40016,plain,
% 14.90/10.68 (until2p7(s180) | (~xuntil2p8(s179))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40015, 14241, 37571])).
% 14.90/10.68 tff(40017,plain,
% 14.90/10.68 (~xuntil2p8(s179)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40016, 40012])).
% 14.90/10.68 tff(40018,plain,
% 14.90/10.68 (~always3(s179)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[14254, 40006])).
% 14.90/10.68 tff(40019,plain,
% 14.90/10.68 (~node4(s179)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[14258, 36, 40018])).
% 14.90/10.68 tff(40020,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40021,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40022,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s179) | xuntil2p8(s179) | (~until2p7(s179))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40021, 40020])).
% 14.90/10.68 tff(40023,plain,
% 14.90/10.68 (xuntil2p8(s179) | (~until2p7(s179))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40022, 37556, 40019])).
% 14.90/10.68 tff(40024,plain,
% 14.90/10.68 (~until2p7(s179)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40023, 40017])).
% 14.90/10.68 tff(40025,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40026,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40027,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40026, 40025])).
% 14.90/10.68 tff(40028,plain,
% 14.90/10.68 (until2p7(s179) | (~xuntil2p8(s178))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40027, 14270, 37571])).
% 14.90/10.68 tff(40029,plain,
% 14.90/10.68 (~xuntil2p8(s178)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40028, 40024])).
% 14.90/10.68 tff(40030,plain,
% 14.90/10.68 (~always3(s178)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[14283, 40018])).
% 14.90/10.68 tff(40031,plain,
% 14.90/10.68 (~node4(s178)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[14287, 36, 40030])).
% 14.90/10.68 tff(40032,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40033,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40034,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s178) | xuntil2p8(s178) | (~until2p7(s178))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40033, 40032])).
% 14.90/10.68 tff(40035,plain,
% 14.90/10.68 (xuntil2p8(s178) | (~until2p7(s178))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40034, 37556, 40031])).
% 14.90/10.68 tff(40036,plain,
% 14.90/10.68 (~until2p7(s178)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40035, 40029])).
% 14.90/10.68 tff(40037,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40038,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40039,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40038, 40037])).
% 14.90/10.68 tff(40040,plain,
% 14.90/10.68 (until2p7(s178) | (~xuntil2p8(s177))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40039, 14026, 37571])).
% 14.90/10.68 tff(40041,plain,
% 14.90/10.68 (~xuntil2p8(s177)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40040, 40036])).
% 14.90/10.68 tff(40042,plain,
% 14.90/10.68 (~always3(s177)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[14034, 40030])).
% 14.90/10.68 tff(40043,plain,
% 14.90/10.68 (~node4(s177)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13896, 36, 40042])).
% 14.90/10.68 tff(40044,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40045,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40046,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s177) | xuntil2p8(s177) | (~until2p7(s177))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40045, 40044])).
% 14.90/10.68 tff(40047,plain,
% 14.90/10.68 (xuntil2p8(s177) | (~until2p7(s177))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40046, 37556, 40043])).
% 14.90/10.68 tff(40048,plain,
% 14.90/10.68 (~until2p7(s177)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40047, 40041])).
% 14.90/10.68 tff(40049,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40050,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40051,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40050, 40049])).
% 14.90/10.68 tff(40052,plain,
% 14.90/10.68 (until2p7(s177) | (~xuntil2p8(s176))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40051, 13880, 37571])).
% 14.90/10.68 tff(40053,plain,
% 14.90/10.68 (~xuntil2p8(s176)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40052, 40048])).
% 14.90/10.68 tff(40054,plain,
% 14.90/10.68 (~always3(s176)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13888, 40042])).
% 14.90/10.68 tff(40055,plain,
% 14.90/10.68 (~node4(s176)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13892, 36, 40054])).
% 14.90/10.68 tff(40056,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40057,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40058,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s176) | xuntil2p8(s176) | (~until2p7(s176))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40057, 40056])).
% 14.90/10.68 tff(40059,plain,
% 14.90/10.68 (xuntil2p8(s176) | (~until2p7(s176))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40058, 37556, 40055])).
% 14.90/10.68 tff(40060,plain,
% 14.90/10.68 (~until2p7(s176)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40059, 40053])).
% 14.90/10.68 tff(40061,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40062,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40063,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40062, 40061])).
% 14.90/10.68 tff(40064,plain,
% 14.90/10.68 (until2p7(s176) | (~xuntil2p8(s175))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40063, 13920, 37571])).
% 14.90/10.68 tff(40065,plain,
% 14.90/10.68 (~xuntil2p8(s175)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40064, 40060])).
% 14.90/10.68 tff(40066,plain,
% 14.90/10.68 (~always3(s175)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13933, 40054])).
% 14.90/10.68 tff(40067,plain,
% 14.90/10.68 (~node4(s175)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[14012, 36, 40066])).
% 14.90/10.68 tff(40068,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40069,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40070,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s175) | xuntil2p8(s175) | (~until2p7(s175))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40069, 40068])).
% 14.90/10.68 tff(40071,plain,
% 14.90/10.68 (xuntil2p8(s175) | (~until2p7(s175))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40070, 37556, 40067])).
% 14.90/10.68 tff(40072,plain,
% 14.90/10.68 (~until2p7(s175)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40071, 40065])).
% 14.90/10.68 tff(40073,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40074,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40075,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40074, 40073])).
% 14.90/10.68 tff(40076,plain,
% 14.90/10.68 (until2p7(s175) | (~xuntil2p8(s174))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40075, 13831, 37571])).
% 14.90/10.68 tff(40077,plain,
% 14.90/10.68 (~xuntil2p8(s174)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40076, 40072])).
% 14.90/10.68 tff(40078,plain,
% 14.90/10.68 (~always3(s174)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13839, 40066])).
% 14.90/10.68 tff(40079,plain,
% 14.90/10.68 (~node4(s174)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13747, 36, 40078])).
% 14.90/10.68 tff(40080,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40081,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40082,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s174) | xuntil2p8(s174) | (~until2p7(s174))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40081, 40080])).
% 14.90/10.68 tff(40083,plain,
% 14.90/10.68 (xuntil2p8(s174) | (~until2p7(s174))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40082, 37556, 40079])).
% 14.90/10.68 tff(40084,plain,
% 14.90/10.68 (~until2p7(s174)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40083, 40077])).
% 14.90/10.68 tff(40085,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40086,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40087,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40086, 40085])).
% 14.90/10.68 tff(40088,plain,
% 14.90/10.68 (until2p7(s174) | (~xuntil2p8(s173))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40087, 13648, 37571])).
% 14.90/10.68 tff(40089,plain,
% 14.90/10.68 (~xuntil2p8(s173)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40088, 40084])).
% 14.90/10.68 tff(40090,plain,
% 14.90/10.68 (~always3(s173)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13656, 40078])).
% 14.90/10.68 tff(40091,plain,
% 14.90/10.68 (~node4(s173)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13566, 36, 40090])).
% 14.90/10.68 tff(40092,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40093,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40094,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s173) | xuntil2p8(s173) | (~until2p7(s173))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40093, 40092])).
% 14.90/10.68 tff(40095,plain,
% 14.90/10.68 (xuntil2p8(s173) | (~until2p7(s173))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40094, 37556, 40091])).
% 14.90/10.68 tff(40096,plain,
% 14.90/10.68 (~until2p7(s173)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40095, 40089])).
% 14.90/10.68 tff(40097,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40098,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40099,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40098, 40097])).
% 14.90/10.68 tff(40100,plain,
% 14.90/10.68 (until2p7(s173) | (~xuntil2p8(s172))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40099, 13550, 37571])).
% 14.90/10.68 tff(40101,plain,
% 14.90/10.68 (~xuntil2p8(s172)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40100, 40096])).
% 14.90/10.68 tff(40102,plain,
% 14.90/10.68 (~always3(s172)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13558, 40090])).
% 14.90/10.68 tff(40103,plain,
% 14.90/10.68 (~node4(s172)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13562, 36, 40102])).
% 14.90/10.68 tff(40104,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40105,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40106,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s172) | xuntil2p8(s172) | (~until2p7(s172))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40105, 40104])).
% 14.90/10.68 tff(40107,plain,
% 14.90/10.68 (xuntil2p8(s172) | (~until2p7(s172))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40106, 37556, 40103])).
% 14.90/10.68 tff(40108,plain,
% 14.90/10.68 (~until2p7(s172)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40107, 40101])).
% 14.90/10.68 tff(40109,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40110,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40111,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40110, 40109])).
% 14.90/10.68 tff(40112,plain,
% 14.90/10.68 (until2p7(s172) | (~xuntil2p8(s171))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40111, 13500, 37571])).
% 14.90/10.68 tff(40113,plain,
% 14.90/10.68 (~xuntil2p8(s171)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40112, 40108])).
% 14.90/10.68 tff(40114,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40115,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40116,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s171) | xuntil2p8(s171) | (~until2p7(s171))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40115, 40114])).
% 14.90/10.68 tff(40117,plain,
% 14.90/10.68 (xuntil2p8(s171) | (~until2p7(s171))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40116, 37556, 13531])).
% 14.90/10.68 tff(40118,plain,
% 14.90/10.68 (~until2p7(s171)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40117, 40113])).
% 14.90/10.68 tff(40119,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40120,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40121,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40120, 40119])).
% 14.90/10.68 tff(40122,plain,
% 14.90/10.68 (until2p7(s171) | (~xuntil2p8(s170))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40121, 13386, 37571])).
% 14.90/10.68 tff(40123,plain,
% 14.90/10.68 (~xuntil2p8(s170)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40122, 40118])).
% 14.90/10.68 tff(40124,plain,
% 14.90/10.68 (~always3(s171)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13508, 40102])).
% 14.90/10.68 tff(40125,plain,
% 14.90/10.68 (~always3(s170)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13394, 40124])).
% 14.90/10.68 tff(40126,plain,
% 14.90/10.68 (~node4(s170)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13268, 36, 40125])).
% 14.90/10.68 tff(40127,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40128,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40129,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s170) | xuntil2p8(s170) | (~until2p7(s170))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40128, 40127])).
% 14.90/10.68 tff(40130,plain,
% 14.90/10.68 (xuntil2p8(s170) | (~until2p7(s170))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40129, 37556, 40126])).
% 14.90/10.68 tff(40131,plain,
% 14.90/10.68 (~until2p7(s170)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40130, 40123])).
% 14.90/10.68 tff(40132,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40133,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40134,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40133, 40132])).
% 14.90/10.68 tff(40135,plain,
% 14.90/10.68 (until2p7(s170) | (~xuntil2p8(s169))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40134, 13252, 37571])).
% 14.90/10.68 tff(40136,plain,
% 14.90/10.68 (~xuntil2p8(s169)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40135, 40131])).
% 14.90/10.68 tff(40137,plain,
% 14.90/10.68 (~always3(s169)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13260, 40125])).
% 14.90/10.68 tff(40138,plain,
% 14.90/10.68 (~node4(s169)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13264, 36, 40137])).
% 14.90/10.68 tff(40139,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40140,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40141,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s169) | xuntil2p8(s169) | (~until2p7(s169))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40140, 40139])).
% 14.90/10.68 tff(40142,plain,
% 14.90/10.68 (xuntil2p8(s169) | (~until2p7(s169))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40141, 37556, 40138])).
% 14.90/10.68 tff(40143,plain,
% 14.90/10.68 (~until2p7(s169)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40142, 40136])).
% 14.90/10.68 tff(40144,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40145,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40146,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40145, 40144])).
% 14.90/10.68 tff(40147,plain,
% 14.90/10.68 (until2p7(s169) | (~xuntil2p8(s168))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40146, 13285, 37571])).
% 14.90/10.68 tff(40148,plain,
% 14.90/10.68 (~xuntil2p8(s168)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40147, 40143])).
% 14.90/10.68 tff(40149,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40150,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40151,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s168) | xuntil2p8(s168) | (~until2p7(s168))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40150, 40149])).
% 14.90/10.68 tff(40152,plain,
% 14.90/10.68 (xuntil2p8(s168) | (~until2p7(s168))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40151, 37556, 13361])).
% 14.90/10.68 tff(40153,plain,
% 14.90/10.68 (~until2p7(s168)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40152, 40148])).
% 14.90/10.68 tff(40154,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40155,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40156,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40155, 40154])).
% 14.90/10.68 tff(40157,plain,
% 14.90/10.68 (until2p7(s168) | (~xuntil2p8(s167))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40156, 13297, 37571])).
% 14.90/10.68 tff(40158,plain,
% 14.90/10.68 (~xuntil2p8(s167)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40157, 40153])).
% 14.90/10.68 tff(40159,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40160,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40161,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s167) | xuntil2p8(s167) | (~until2p7(s167))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40160, 40159])).
% 14.90/10.68 tff(40162,plain,
% 14.90/10.68 (xuntil2p8(s167) | (~until2p7(s167))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40161, 37556, 13459])).
% 14.90/10.68 tff(40163,plain,
% 14.90/10.68 (~until2p7(s167)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40162, 40158])).
% 14.90/10.68 tff(40164,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40165,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40166,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40165, 40164])).
% 14.90/10.68 tff(40167,plain,
% 14.90/10.68 (until2p7(s167) | (~xuntil2p8(s166))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40166, 13147, 37571])).
% 14.90/10.68 tff(40168,plain,
% 14.90/10.68 (~xuntil2p8(s166)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40167, 40163])).
% 14.90/10.68 tff(40169,plain,
% 14.90/10.68 (~always3(s168)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13293, 40137])).
% 14.90/10.68 tff(40170,plain,
% 14.90/10.68 (~always3(s167)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13305, 40169])).
% 14.90/10.68 tff(40171,plain,
% 14.90/10.68 (~always3(s166)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13155, 40170])).
% 14.90/10.68 tff(40172,plain,
% 14.90/10.68 (~node4(s166)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13085, 36, 40171])).
% 14.90/10.68 tff(40173,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40174,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40175,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s166) | xuntil2p8(s166) | (~until2p7(s166))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40174, 40173])).
% 14.90/10.68 tff(40176,plain,
% 14.90/10.68 (xuntil2p8(s166) | (~until2p7(s166))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40175, 37556, 40172])).
% 14.90/10.68 tff(40177,plain,
% 14.90/10.68 (~until2p7(s166)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40176, 40168])).
% 14.90/10.68 tff(40178,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40179,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40180,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40179, 40178])).
% 14.90/10.68 tff(40181,plain,
% 14.90/10.68 (until2p7(s166) | (~xuntil2p8(s165))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40180, 13069, 37571])).
% 14.90/10.68 tff(40182,plain,
% 14.90/10.68 (~xuntil2p8(s165)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40181, 40177])).
% 14.90/10.68 tff(40183,plain,
% 14.90/10.68 (~always3(s165)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13077, 40171])).
% 14.90/10.68 tff(40184,plain,
% 14.90/10.68 (~node4(s165)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13081, 36, 40183])).
% 14.90/10.68 tff(40185,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40186,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40187,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s165) | xuntil2p8(s165) | (~until2p7(s165))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40186, 40185])).
% 14.90/10.68 tff(40188,plain,
% 14.90/10.68 (xuntil2p8(s165) | (~until2p7(s165))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40187, 37556, 40184])).
% 14.90/10.68 tff(40189,plain,
% 14.90/10.68 (~until2p7(s165)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40188, 40182])).
% 14.90/10.68 tff(40190,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40191,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40192,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40191, 40190])).
% 14.90/10.68 tff(40193,plain,
% 14.90/10.68 (until2p7(s165) | (~xuntil2p8(s164))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40192, 13102, 37571])).
% 14.90/10.68 tff(40194,plain,
% 14.90/10.68 (~xuntil2p8(s164)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40193, 40189])).
% 14.90/10.68 tff(40195,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40196,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40197,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s164) | xuntil2p8(s164) | (~until2p7(s164))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40196, 40195])).
% 14.90/10.68 tff(40198,plain,
% 14.90/10.68 (xuntil2p8(s164) | (~until2p7(s164))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40197, 37556, 13215])).
% 14.90/10.68 tff(40199,plain,
% 14.90/10.68 (~until2p7(s164)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40198, 40194])).
% 14.90/10.68 tff(40200,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40201,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40202,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40201, 40200])).
% 14.90/10.68 tff(40203,plain,
% 14.90/10.68 (until2p7(s164) | (~xuntil2p8(s163))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40202, 13019, 37571])).
% 14.90/10.68 tff(40204,plain,
% 14.90/10.68 (~xuntil2p8(s163)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40203, 40199])).
% 14.90/10.68 tff(40205,plain,
% 14.90/10.68 (~always3(s164)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13110, 40183])).
% 14.90/10.68 tff(40206,plain,
% 14.90/10.68 (~always3(s163)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[13027, 40205])).
% 14.90/10.68 tff(40207,plain,
% 14.90/10.68 (~node4(s163)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[12945, 36, 40206])).
% 14.90/10.68 tff(40208,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40209,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40210,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s163) | xuntil2p8(s163) | (~until2p7(s163))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40209, 40208])).
% 14.90/10.68 tff(40211,plain,
% 14.90/10.68 (xuntil2p8(s163) | (~until2p7(s163))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40210, 37556, 40207])).
% 14.90/10.68 tff(40212,plain,
% 14.90/10.68 (~until2p7(s163)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40211, 40204])).
% 14.90/10.68 tff(40213,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40214,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40215,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40214, 40213])).
% 14.90/10.68 tff(40216,plain,
% 14.90/10.68 (until2p7(s163) | (~xuntil2p8(s162))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40215, 12896, 37571])).
% 14.90/10.68 tff(40217,plain,
% 14.90/10.68 (~xuntil2p8(s162)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40216, 40212])).
% 14.90/10.68 tff(40218,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40219,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40220,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s162) | xuntil2p8(s162) | (~until2p7(s162))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40219, 40218])).
% 14.90/10.68 tff(40221,plain,
% 14.90/10.68 (xuntil2p8(s162) | (~until2p7(s162))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40220, 37556, 12927])).
% 14.90/10.68 tff(40222,plain,
% 14.90/10.68 (~until2p7(s162)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40221, 40217])).
% 14.90/10.68 tff(40223,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40224,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40225,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40224, 40223])).
% 14.90/10.68 tff(40226,plain,
% 14.90/10.68 (until2p7(s162) | (~xuntil2p8(s161))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40225, 12565, 37571])).
% 14.90/10.68 tff(40227,plain,
% 14.90/10.68 (~xuntil2p8(s161)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40226, 40222])).
% 14.90/10.68 tff(40228,plain,
% 14.90/10.68 (~always3(s162)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[12904, 40206])).
% 14.90/10.68 tff(40229,plain,
% 14.90/10.68 (~always3(s161)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[12573, 40228])).
% 14.90/10.68 tff(40230,plain,
% 14.90/10.68 (~node4(s161)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[12319, 36, 40229])).
% 14.90/10.68 tff(40231,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40232,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40233,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s161) | xuntil2p8(s161) | (~until2p7(s161))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40232, 40231])).
% 14.90/10.68 tff(40234,plain,
% 14.90/10.68 (xuntil2p8(s161) | (~until2p7(s161))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40233, 37556, 40230])).
% 14.90/10.68 tff(40235,plain,
% 14.90/10.68 (~until2p7(s161)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40234, 40227])).
% 14.90/10.68 tff(40236,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40237,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40238,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40237, 40236])).
% 14.90/10.68 tff(40239,plain,
% 14.90/10.68 (until2p7(s161) | (~xuntil2p8(s160))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40238, 12303, 37571])).
% 14.90/10.68 tff(40240,plain,
% 14.90/10.68 (~xuntil2p8(s160)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40239, 40235])).
% 14.90/10.68 tff(40241,plain,
% 14.90/10.68 (~always3(s160)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[12311, 40229])).
% 14.90/10.68 tff(40242,plain,
% 14.90/10.68 (~node4(s160)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[12315, 36, 40241])).
% 14.90/10.68 tff(40243,plain,
% 14.90/10.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40244,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))),
% 14.90/10.68 inference(quant_inst,[status(thm)],[])).
% 14.90/10.68 tff(40245,plain,
% 14.90/10.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s160) | xuntil2p8(s160) | (~until2p7(s160))),
% 14.90/10.68 inference(modus_ponens,[status(thm)],[40244, 40243])).
% 14.90/10.68 tff(40246,plain,
% 14.90/10.68 (xuntil2p8(s160) | (~until2p7(s160))),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40245, 37556, 40242])).
% 14.90/10.68 tff(40247,plain,
% 14.90/10.68 (~until2p7(s160)),
% 14.90/10.68 inference(unit_resolution,[status(thm)],[40246, 40240])).
% 14.90/10.68 tff(40248,plain,
% 14.90/10.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))),
% 14.90/10.68 inference(rewrite,[status(thm)],[])).
% 14.90/10.68 tff(40249,plain,
% 14.90/10.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))),
% 14.90/10.69 inference(quant_inst,[status(thm)],[])).
% 14.90/10.69 tff(40250,plain,
% 14.90/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159))),
% 14.90/10.69 inference(modus_ponens,[status(thm)],[40249, 40248])).
% 14.90/10.69 tff(40251,plain,
% 14.90/10.69 (until2p7(s160) | (~xuntil2p8(s159))),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[40250, 12343, 37571])).
% 14.90/10.69 tff(40252,plain,
% 14.90/10.69 (~xuntil2p8(s159)),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[40251, 40247])).
% 14.90/10.69 tff(40253,plain,
% 14.90/10.69 (~always3(s159)),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[12356, 40241])).
% 14.90/10.69 tff(40254,plain,
% 14.90/10.69 (~node4(s159)),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[12360, 36, 40253])).
% 14.90/10.69 tff(40255,plain,
% 14.90/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))),
% 14.90/10.69 inference(rewrite,[status(thm)],[])).
% 14.90/10.69 tff(40256,plain,
% 14.90/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))),
% 14.90/10.69 inference(quant_inst,[status(thm)],[])).
% 14.90/10.69 tff(40257,plain,
% 14.90/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s159) | xuntil2p8(s159) | (~until2p7(s159))),
% 14.90/10.69 inference(modus_ponens,[status(thm)],[40256, 40255])).
% 14.90/10.69 tff(40258,plain,
% 14.90/10.69 (xuntil2p8(s159) | (~until2p7(s159))),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[40257, 37556, 40254])).
% 14.90/10.69 tff(40259,plain,
% 14.90/10.69 (~until2p7(s159)),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[40258, 40252])).
% 14.90/10.69 tff(40260,plain,
% 14.90/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))),
% 14.90/10.69 inference(rewrite,[status(thm)],[])).
% 14.90/10.69 tff(40261,plain,
% 14.90/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))),
% 14.90/10.69 inference(quant_inst,[status(thm)],[])).
% 14.90/10.69 tff(40262,plain,
% 14.90/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158))),
% 14.90/10.69 inference(modus_ponens,[status(thm)],[40261, 40260])).
% 14.90/10.69 tff(40263,plain,
% 14.90/10.69 (until2p7(s159) | (~xuntil2p8(s158))),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[40262, 12372, 37571])).
% 14.90/10.69 tff(40264,plain,
% 14.90/10.69 (~xuntil2p8(s158)),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[40263, 40259])).
% 14.90/10.69 tff(40265,plain,
% 14.90/10.69 (~always3(s158)),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[12385, 40253])).
% 14.90/10.69 tff(40266,plain,
% 14.90/10.69 (~node4(s158)),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[12389, 36, 40265])).
% 14.90/10.69 tff(40267,plain,
% 14.90/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))),
% 14.90/10.69 inference(rewrite,[status(thm)],[])).
% 14.90/10.69 tff(40268,plain,
% 14.90/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))),
% 14.90/10.69 inference(quant_inst,[status(thm)],[])).
% 14.90/10.69 tff(40269,plain,
% 14.90/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s158) | xuntil2p8(s158) | (~until2p7(s158))),
% 14.90/10.69 inference(modus_ponens,[status(thm)],[40268, 40267])).
% 14.90/10.69 tff(40270,plain,
% 14.90/10.69 (xuntil2p8(s158) | (~until2p7(s158))),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[40269, 37556, 40266])).
% 14.90/10.69 tff(40271,plain,
% 14.90/10.69 (~until2p7(s158)),
% 14.90/10.69 inference(unit_resolution,[status(thm)],[40270, 40264])).
% 14.90/10.69 tff(40272,plain,
% 14.90/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))),
% 14.90/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40273,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40274,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40273, 40272])).
% 14.98/10.69 tff(40275,plain,
% 14.98/10.69 (until2p7(s158) | (~xuntil2p8(s157))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40274, 12401, 37571])).
% 14.98/10.69 tff(40276,plain,
% 14.98/10.69 (~xuntil2p8(s157)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40275, 40271])).
% 14.98/10.69 tff(40277,plain,
% 14.98/10.69 (~always3(s157)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12414, 40265])).
% 14.98/10.69 tff(40278,plain,
% 14.98/10.69 (~node4(s157)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12418, 36, 40277])).
% 14.98/10.69 tff(40279,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40280,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40281,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s157) | xuntil2p8(s157) | (~until2p7(s157))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40280, 40279])).
% 14.98/10.69 tff(40282,plain,
% 14.98/10.69 (xuntil2p8(s157) | (~until2p7(s157))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40281, 37556, 40278])).
% 14.98/10.69 tff(40283,plain,
% 14.98/10.69 (~until2p7(s157)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40282, 40276])).
% 14.98/10.69 tff(40284,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40285,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40286,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40285, 40284])).
% 14.98/10.69 tff(40287,plain,
% 14.98/10.69 (until2p7(s157) | (~xuntil2p8(s156))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40286, 12430, 37571])).
% 14.98/10.69 tff(40288,plain,
% 14.98/10.69 (~xuntil2p8(s156)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40287, 40283])).
% 14.98/10.69 tff(40289,plain,
% 14.98/10.69 (~always3(s156)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12438, 40277])).
% 14.98/10.69 tff(40290,plain,
% 14.98/10.69 (~node4(s156)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12509, 36, 40289])).
% 14.98/10.69 tff(40291,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40292,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40293,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s156) | xuntil2p8(s156) | (~until2p7(s156))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40292, 40291])).
% 14.98/10.69 tff(40294,plain,
% 14.98/10.69 (xuntil2p8(s156) | (~until2p7(s156))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40293, 37556, 40290])).
% 14.98/10.69 tff(40295,plain,
% 14.98/10.69 (~until2p7(s156)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40294, 40288])).
% 14.98/10.69 tff(40296,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40297,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40298,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40297, 40296])).
% 14.98/10.69 tff(40299,plain,
% 14.98/10.69 (until2p7(s156) | (~xuntil2p8(s155))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40298, 12442, 37571])).
% 14.98/10.69 tff(40300,plain,
% 14.98/10.69 (~xuntil2p8(s155)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40299, 40295])).
% 14.98/10.69 tff(40301,plain,
% 14.98/10.69 (~always3(s155)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12450, 40289])).
% 14.98/10.69 tff(40302,plain,
% 14.98/10.69 (~node4(s155)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12492, 36, 40301])).
% 14.98/10.69 tff(40303,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40304,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40305,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s155) | xuntil2p8(s155) | (~until2p7(s155))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40304, 40303])).
% 14.98/10.69 tff(40306,plain,
% 14.98/10.69 (xuntil2p8(s155) | (~until2p7(s155))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40305, 37556, 40302])).
% 14.98/10.69 tff(40307,plain,
% 14.98/10.69 (~until2p7(s155)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40306, 40300])).
% 14.98/10.69 tff(40308,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40309,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40310,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40309, 40308])).
% 14.98/10.69 tff(40311,plain,
% 14.98/10.69 (until2p7(s155) | (~xuntil2p8(s154))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40310, 12454, 37571])).
% 14.98/10.69 tff(40312,plain,
% 14.98/10.69 (~xuntil2p8(s154)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40311, 40307])).
% 14.98/10.69 tff(40313,plain,
% 14.98/10.69 (~always3(s154)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12462, 40301])).
% 14.98/10.69 tff(40314,plain,
% 14.98/10.69 (~node4(s154)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12475, 36, 40313])).
% 14.98/10.69 tff(40315,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40316,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40317,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s154) | xuntil2p8(s154) | (~until2p7(s154))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40316, 40315])).
% 14.98/10.69 tff(40318,plain,
% 14.98/10.69 (xuntil2p8(s154) | (~until2p7(s154))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40317, 37556, 40314])).
% 14.98/10.69 tff(40319,plain,
% 14.98/10.69 (~until2p7(s154)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40318, 40312])).
% 14.98/10.69 tff(40320,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40321,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40322,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40321, 40320])).
% 14.98/10.69 tff(40323,plain,
% 14.98/10.69 (until2p7(s154) | (~xuntil2p8(s153))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40322, 12254, 37571])).
% 14.98/10.69 tff(40324,plain,
% 14.98/10.69 (~xuntil2p8(s153)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40323, 40319])).
% 14.98/10.69 tff(40325,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40326,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40327,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s153) | xuntil2p8(s153) | (~until2p7(s153))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40326, 40325])).
% 14.98/10.69 tff(40328,plain,
% 14.98/10.69 (xuntil2p8(s153) | (~until2p7(s153))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40327, 37556, 12285])).
% 14.98/10.69 tff(40329,plain,
% 14.98/10.69 (~until2p7(s153)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40328, 40324])).
% 14.98/10.69 tff(40330,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40331,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40332,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40331, 40330])).
% 14.98/10.69 tff(40333,plain,
% 14.98/10.69 (until2p7(s153) | (~xuntil2p8(s152))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40332, 12198, 37571])).
% 14.98/10.69 tff(40334,plain,
% 14.98/10.69 (~xuntil2p8(s152)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40333, 40329])).
% 14.98/10.69 tff(40335,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40336,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40337,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s152) | xuntil2p8(s152) | (~until2p7(s152))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40336, 40335])).
% 14.98/10.69 tff(40338,plain,
% 14.98/10.69 (xuntil2p8(s152) | (~until2p7(s152))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40337, 37556, 12229])).
% 14.98/10.69 tff(40339,plain,
% 14.98/10.69 (~until2p7(s152)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40338, 40334])).
% 14.98/10.69 tff(40340,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40341,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40342,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40341, 40340])).
% 14.98/10.69 tff(40343,plain,
% 14.98/10.69 (until2p7(s152) | (~xuntil2p8(s151))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40342, 12141, 37571])).
% 14.98/10.69 tff(40344,plain,
% 14.98/10.69 (~xuntil2p8(s151)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40343, 40339])).
% 14.98/10.69 tff(40345,plain,
% 14.98/10.69 (~always3(s153)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12262, 40313])).
% 14.98/10.69 tff(40346,plain,
% 14.98/10.69 (~always3(s152)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12206, 40345])).
% 14.98/10.69 tff(40347,plain,
% 14.98/10.69 (~always3(s151)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12149, 40346])).
% 14.98/10.69 tff(40348,plain,
% 14.98/10.69 (~node4(s151)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[12135, 36, 40347])).
% 14.98/10.69 tff(40349,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40350,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40351,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s151) | xuntil2p8(s151) | (~until2p7(s151))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40350, 40349])).
% 14.98/10.69 tff(40352,plain,
% 14.98/10.69 (xuntil2p8(s151) | (~until2p7(s151))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40351, 37556, 40348])).
% 14.98/10.69 tff(40353,plain,
% 14.98/10.69 (~until2p7(s151)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40352, 40344])).
% 14.98/10.69 tff(40354,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40355,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40356,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40355, 40354])).
% 14.98/10.69 tff(40357,plain,
% 14.98/10.69 (until2p7(s151) | (~xuntil2p8(s150))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40356, 10318, 37571])).
% 14.98/10.69 tff(40358,plain,
% 14.98/10.69 (~xuntil2p8(s150)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40357, 40353])).
% 14.98/10.69 tff(40359,plain,
% 14.98/10.69 (~always3(s150)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[10326, 40347])).
% 14.98/10.69 tff(40360,plain,
% 14.98/10.69 (~node4(s150)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9323, 36, 40359])).
% 14.98/10.69 tff(40361,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40362,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40363,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s150) | xuntil2p8(s150) | (~until2p7(s150))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40362, 40361])).
% 14.98/10.69 tff(40364,plain,
% 14.98/10.69 (xuntil2p8(s150) | (~until2p7(s150))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40363, 37556, 40360])).
% 14.98/10.69 tff(40365,plain,
% 14.98/10.69 (~until2p7(s150)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40364, 40358])).
% 14.98/10.69 tff(40366,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40367,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40368,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40367, 40366])).
% 14.98/10.69 tff(40369,plain,
% 14.98/10.69 (until2p7(s150) | (~xuntil2p8(s149))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40368, 9307, 37571])).
% 14.98/10.69 tff(40370,plain,
% 14.98/10.69 (~xuntil2p8(s149)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40369, 40365])).
% 14.98/10.69 tff(40371,plain,
% 14.98/10.69 (~always3(s149)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9315, 40359])).
% 14.98/10.69 tff(40372,plain,
% 14.98/10.69 (~node4(s149)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9319, 36, 40371])).
% 14.98/10.69 tff(40373,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40374,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40375,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s149) | xuntil2p8(s149) | (~until2p7(s149))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40374, 40373])).
% 14.98/10.69 tff(40376,plain,
% 14.98/10.69 (xuntil2p8(s149) | (~until2p7(s149))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40375, 37556, 40372])).
% 14.98/10.69 tff(40377,plain,
% 14.98/10.69 (~until2p7(s149)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40376, 40370])).
% 14.98/10.69 tff(40378,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40379,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40380,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40379, 40378])).
% 14.98/10.69 tff(40381,plain,
% 14.98/10.69 (until2p7(s149) | (~xuntil2p8(s148))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40380, 9347, 37571])).
% 14.98/10.69 tff(40382,plain,
% 14.98/10.69 (~xuntil2p8(s148)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40381, 40377])).
% 14.98/10.69 tff(40383,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40384,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40385,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s148) | xuntil2p8(s148) | (~until2p7(s148))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40384, 40383])).
% 14.98/10.69 tff(40386,plain,
% 14.98/10.69 (xuntil2p8(s148) | (~until2p7(s148))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40385, 37556, 10381])).
% 14.98/10.69 tff(40387,plain,
% 14.98/10.69 (~until2p7(s148)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40386, 40382])).
% 14.98/10.69 tff(40388,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40389,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40390,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40389, 40388])).
% 14.98/10.69 tff(40391,plain,
% 14.98/10.69 (until2p7(s148) | (~xuntil2p8(s147))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40390, 9376, 37571])).
% 14.98/10.69 tff(40392,plain,
% 14.98/10.69 (~xuntil2p8(s147)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40391, 40387])).
% 14.98/10.69 tff(40393,plain,
% 14.98/10.69 (~always3(s148)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9360, 40371])).
% 14.98/10.69 tff(40394,plain,
% 14.98/10.69 (~always3(s147)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9389, 40393])).
% 14.98/10.69 tff(40395,plain,
% 14.98/10.69 (~node4(s147)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9393, 36, 40394])).
% 14.98/10.69 tff(40396,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40397,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40398,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s147) | xuntil2p8(s147) | (~until2p7(s147))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40397, 40396])).
% 14.98/10.69 tff(40399,plain,
% 14.98/10.69 (xuntil2p8(s147) | (~until2p7(s147))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40398, 37556, 40395])).
% 14.98/10.69 tff(40400,plain,
% 14.98/10.69 (~until2p7(s147)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40399, 40392])).
% 14.98/10.69 tff(40401,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40402,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40403,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40402, 40401])).
% 14.98/10.69 tff(40404,plain,
% 14.98/10.69 (until2p7(s147) | (~xuntil2p8(s146))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40403, 9405, 37571])).
% 14.98/10.69 tff(40405,plain,
% 14.98/10.69 (~xuntil2p8(s146)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40404, 40400])).
% 14.98/10.69 tff(40406,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40407,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40408,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s146) | xuntil2p8(s146) | (~until2p7(s146))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40407, 40406])).
% 14.98/10.69 tff(40409,plain,
% 14.98/10.69 (xuntil2p8(s146) | (~until2p7(s146))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40408, 37556, 12013])).
% 14.98/10.69 tff(40410,plain,
% 14.98/10.69 (~until2p7(s146)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40409, 40405])).
% 14.98/10.69 tff(40411,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40412,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40413,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40412, 40411])).
% 14.98/10.69 tff(40414,plain,
% 14.98/10.69 (until2p7(s146) | (~xuntil2p8(s145))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40413, 9434, 37571])).
% 14.98/10.69 tff(40415,plain,
% 14.98/10.69 (~xuntil2p8(s145)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40414, 40410])).
% 14.98/10.69 tff(40416,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40417,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40418,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s145) | xuntil2p8(s145) | (~until2p7(s145))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40417, 40416])).
% 14.98/10.69 tff(40419,plain,
% 14.98/10.69 (xuntil2p8(s145) | (~until2p7(s145))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40418, 37556, 12051])).
% 14.98/10.69 tff(40420,plain,
% 14.98/10.69 (~until2p7(s145)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40419, 40415])).
% 14.98/10.69 tff(40421,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40422,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40423,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40422, 40421])).
% 14.98/10.69 tff(40424,plain,
% 14.98/10.69 (until2p7(s145) | (~xuntil2p8(s144))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40423, 9463, 37571])).
% 14.98/10.69 tff(40425,plain,
% 14.98/10.69 (~xuntil2p8(s144)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40424, 40420])).
% 14.98/10.69 tff(40426,plain,
% 14.98/10.69 (~always3(s146)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9418, 40394])).
% 14.98/10.69 tff(40427,plain,
% 14.98/10.69 (~always3(s145)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9447, 40426])).
% 14.98/10.69 tff(40428,plain,
% 14.98/10.69 (~always3(s144)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9476, 40427])).
% 14.98/10.69 tff(40429,plain,
% 14.98/10.69 (~node4(s144)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9480, 36, 40428])).
% 14.98/10.69 tff(40430,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40431,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40432,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s144) | xuntil2p8(s144) | (~until2p7(s144))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40431, 40430])).
% 14.98/10.69 tff(40433,plain,
% 14.98/10.69 (xuntil2p8(s144) | (~until2p7(s144))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40432, 37556, 40429])).
% 14.98/10.69 tff(40434,plain,
% 14.98/10.69 (~until2p7(s144)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40433, 40425])).
% 14.98/10.69 tff(40435,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40436,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40437,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40436, 40435])).
% 14.98/10.69 tff(40438,plain,
% 14.98/10.69 (until2p7(s144) | (~xuntil2p8(s143))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40437, 9183, 37571])).
% 14.98/10.69 tff(40439,plain,
% 14.98/10.69 (~xuntil2p8(s143)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40438, 40434])).
% 14.98/10.69 tff(40440,plain,
% 14.98/10.69 (~always3(s143)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9191, 40428])).
% 14.98/10.69 tff(40441,plain,
% 14.98/10.69 (~node4(s143)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[9179, 36, 40440])).
% 14.98/10.69 tff(40442,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40443,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40444,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s143) | xuntil2p8(s143) | (~until2p7(s143))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40443, 40442])).
% 14.98/10.69 tff(40445,plain,
% 14.98/10.69 (xuntil2p8(s143) | (~until2p7(s143))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40444, 37556, 40441])).
% 14.98/10.69 tff(40446,plain,
% 14.98/10.69 (~until2p7(s143)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40445, 40439])).
% 14.98/10.69 tff(40447,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40448,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40449,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40448, 40447])).
% 14.98/10.69 tff(40450,plain,
% 14.98/10.69 (until2p7(s143) | (~xuntil2p8(s142))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40449, 9210, 37571])).
% 14.98/10.69 tff(40451,plain,
% 14.98/10.69 (~xuntil2p8(s142)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40450, 40446])).
% 14.98/10.69 tff(40452,plain,
% 14.98/10.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40453,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40454,plain,
% 14.98/10.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s142) | xuntil2p8(s142) | (~until2p7(s142))),
% 14.98/10.69 inference(modus_ponens,[status(thm)],[40453, 40452])).
% 14.98/10.69 tff(40455,plain,
% 14.98/10.69 (xuntil2p8(s142) | (~until2p7(s142))),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40454, 37556, 11958])).
% 14.98/10.69 tff(40456,plain,
% 14.98/10.69 (~until2p7(s142)),
% 14.98/10.69 inference(unit_resolution,[status(thm)],[40455, 40451])).
% 14.98/10.69 tff(40457,plain,
% 14.98/10.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))),
% 14.98/10.69 inference(rewrite,[status(thm)],[])).
% 14.98/10.69 tff(40458,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))),
% 14.98/10.69 inference(quant_inst,[status(thm)],[])).
% 14.98/10.69 tff(40459,plain,
% 14.98/10.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40458, 40457])).
% 14.98/10.70 tff(40460,plain,
% 14.98/10.70 (until2p7(s142) | (~xuntil2p8(s141))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40459, 9264, 37571])).
% 14.98/10.70 tff(40461,plain,
% 14.98/10.70 (~xuntil2p8(s141)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40460, 40456])).
% 14.98/10.70 tff(40462,plain,
% 14.98/10.70 (~always3(s142)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9513, 40440])).
% 14.98/10.70 tff(40463,plain,
% 14.98/10.70 (~always3(s141)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9272, 40462])).
% 14.98/10.70 tff(40464,plain,
% 14.98/10.70 (~node4(s141)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9260, 36, 40463])).
% 14.98/10.70 tff(40465,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40466,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40467,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s141) | xuntil2p8(s141) | (~until2p7(s141))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40466, 40465])).
% 14.98/10.70 tff(40468,plain,
% 14.98/10.70 (xuntil2p8(s141) | (~until2p7(s141))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40467, 37556, 40464])).
% 14.98/10.70 tff(40469,plain,
% 14.98/10.70 (~until2p7(s141)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40468, 40461])).
% 14.98/10.70 tff(40470,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40471,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40472,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40471, 40470])).
% 14.98/10.70 tff(40473,plain,
% 14.98/10.70 (until2p7(s141) | (~xuntil2p8(s140))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40472, 9544, 37571])).
% 14.98/10.70 tff(40474,plain,
% 14.98/10.70 (~xuntil2p8(s140)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40473, 40469])).
% 14.98/10.70 tff(40475,plain,
% 14.98/10.70 (~always3(s140)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9557, 40463])).
% 14.98/10.70 tff(40476,plain,
% 14.98/10.70 (~node4(s140)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9561, 36, 40475])).
% 14.98/10.70 tff(40477,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40478,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40479,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s140) | xuntil2p8(s140) | (~until2p7(s140))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40478, 40477])).
% 14.98/10.70 tff(40480,plain,
% 14.98/10.70 (xuntil2p8(s140) | (~until2p7(s140))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40479, 37556, 40476])).
% 14.98/10.70 tff(40481,plain,
% 14.98/10.70 (~until2p7(s140)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40480, 40474])).
% 14.98/10.70 tff(40482,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40483,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40484,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40483, 40482])).
% 14.98/10.70 tff(40485,plain,
% 14.98/10.70 (until2p7(s140) | (~xuntil2p8(s139))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40484, 9573, 37571])).
% 14.98/10.70 tff(40486,plain,
% 14.98/10.70 (~xuntil2p8(s139)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40485, 40481])).
% 14.98/10.70 tff(40487,plain,
% 14.98/10.70 (~always3(s139)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9586, 40475])).
% 14.98/10.70 tff(40488,plain,
% 14.98/10.70 (~node4(s139)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9590, 36, 40487])).
% 14.98/10.70 tff(40489,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40490,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40491,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s139) | xuntil2p8(s139) | (~until2p7(s139))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40490, 40489])).
% 14.98/10.70 tff(40492,plain,
% 14.98/10.70 (xuntil2p8(s139) | (~until2p7(s139))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40491, 37556, 40488])).
% 14.98/10.70 tff(40493,plain,
% 14.98/10.70 (~until2p7(s139)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40492, 40486])).
% 14.98/10.70 tff(40494,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40495,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40496,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40495, 40494])).
% 14.98/10.70 tff(40497,plain,
% 14.98/10.70 (until2p7(s139) | (~xuntil2p8(s138))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40496, 9602, 37571])).
% 14.98/10.70 tff(40498,plain,
% 14.98/10.70 (~xuntil2p8(s138)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40497, 40493])).
% 14.98/10.70 tff(40499,plain,
% 14.98/10.70 (~always3(s138)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9615, 40487])).
% 14.98/10.70 tff(40500,plain,
% 14.98/10.70 (~node4(s138)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9619, 36, 40499])).
% 14.98/10.70 tff(40501,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40502,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40503,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s138) | xuntil2p8(s138) | (~until2p7(s138))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40502, 40501])).
% 14.98/10.70 tff(40504,plain,
% 14.98/10.70 (xuntil2p8(s138) | (~until2p7(s138))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40503, 37556, 40500])).
% 14.98/10.70 tff(40505,plain,
% 14.98/10.70 (~until2p7(s138)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40504, 40498])).
% 14.98/10.70 tff(40506,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40507,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40508,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40507, 40506])).
% 14.98/10.70 tff(40509,plain,
% 14.98/10.70 (until2p7(s138) | (~xuntil2p8(s137))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40508, 9631, 37571])).
% 14.98/10.70 tff(40510,plain,
% 14.98/10.70 (~xuntil2p8(s137)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40509, 40505])).
% 14.98/10.70 tff(40511,plain,
% 14.98/10.70 (~always3(s137)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9644, 40499])).
% 14.98/10.70 tff(40512,plain,
% 14.98/10.70 (~node4(s137)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9648, 36, 40511])).
% 14.98/10.70 tff(40513,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40514,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40515,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s137) | xuntil2p8(s137) | (~until2p7(s137))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40514, 40513])).
% 14.98/10.70 tff(40516,plain,
% 14.98/10.70 (xuntil2p8(s137) | (~until2p7(s137))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40515, 37556, 40512])).
% 14.98/10.70 tff(40517,plain,
% 14.98/10.70 (~until2p7(s137)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40516, 40510])).
% 14.98/10.70 tff(40518,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40519,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40520,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40519, 40518])).
% 14.98/10.70 tff(40521,plain,
% 14.98/10.70 (until2p7(s137) | (~xuntil2p8(s136))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40520, 9660, 37571])).
% 14.98/10.70 tff(40522,plain,
% 14.98/10.70 (~xuntil2p8(s136)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40521, 40517])).
% 14.98/10.70 tff(40523,plain,
% 14.98/10.70 (~always3(s136)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9673, 40511])).
% 14.98/10.70 tff(40524,plain,
% 14.98/10.70 (~node4(s136)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9677, 36, 40523])).
% 14.98/10.70 tff(40525,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40526,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40527,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s136) | xuntil2p8(s136) | (~until2p7(s136))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40526, 40525])).
% 14.98/10.70 tff(40528,plain,
% 14.98/10.70 (xuntil2p8(s136) | (~until2p7(s136))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40527, 37556, 40524])).
% 14.98/10.70 tff(40529,plain,
% 14.98/10.70 (~until2p7(s136)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40528, 40522])).
% 14.98/10.70 tff(40530,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40531,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40532,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40531, 40530])).
% 14.98/10.70 tff(40533,plain,
% 14.98/10.70 (until2p7(s136) | (~xuntil2p8(s135))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40532, 9689, 37571])).
% 14.98/10.70 tff(40534,plain,
% 14.98/10.70 (~xuntil2p8(s135)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40533, 40529])).
% 14.98/10.70 tff(40535,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40536,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40537,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s135) | xuntil2p8(s135) | (~until2p7(s135))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40536, 40535])).
% 14.98/10.70 tff(40538,plain,
% 14.98/10.70 (xuntil2p8(s135) | (~until2p7(s135))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40537, 37556, 11677])).
% 14.98/10.70 tff(40539,plain,
% 14.98/10.70 (~until2p7(s135)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40538, 40534])).
% 14.98/10.70 tff(40540,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40541,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40542,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40541, 40540])).
% 14.98/10.70 tff(40543,plain,
% 14.98/10.70 (until2p7(s135) | (~xuntil2p8(s134))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40542, 9718, 37571])).
% 14.98/10.70 tff(40544,plain,
% 14.98/10.70 (~xuntil2p8(s134)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40543, 40539])).
% 14.98/10.70 tff(40545,plain,
% 14.98/10.70 (~always3(s135)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9702, 40523])).
% 14.98/10.70 tff(40546,plain,
% 14.98/10.70 (~always3(s134)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9731, 40545])).
% 14.98/10.70 tff(40547,plain,
% 14.98/10.70 (~node4(s134)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9735, 36, 40546])).
% 14.98/10.70 tff(40548,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40549,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40550,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s134) | xuntil2p8(s134) | (~until2p7(s134))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40549, 40548])).
% 14.98/10.70 tff(40551,plain,
% 14.98/10.70 (xuntil2p8(s134) | (~until2p7(s134))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40550, 37556, 40547])).
% 14.98/10.70 tff(40552,plain,
% 14.98/10.70 (~until2p7(s134)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40551, 40544])).
% 14.98/10.70 tff(40553,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40554,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40555,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40554, 40553])).
% 14.98/10.70 tff(40556,plain,
% 14.98/10.70 (until2p7(s134) | (~xuntil2p8(s133))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40555, 9747, 37571])).
% 14.98/10.70 tff(40557,plain,
% 14.98/10.70 (~xuntil2p8(s133)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40556, 40552])).
% 14.98/10.70 tff(40558,plain,
% 14.98/10.70 (~always3(s133)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9760, 40546])).
% 14.98/10.70 tff(40559,plain,
% 14.98/10.70 (~node4(s133)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10256, 36, 40558])).
% 14.98/10.70 tff(40560,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40561,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40562,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s133) | xuntil2p8(s133) | (~until2p7(s133))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40561, 40560])).
% 14.98/10.70 tff(40563,plain,
% 14.98/10.70 (xuntil2p8(s133) | (~until2p7(s133))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40562, 37556, 40559])).
% 14.98/10.70 tff(40564,plain,
% 14.98/10.70 (~until2p7(s133)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40563, 40557])).
% 14.98/10.70 tff(40565,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40566,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40567,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40566, 40565])).
% 14.98/10.70 tff(40568,plain,
% 14.98/10.70 (until2p7(s133) | (~xuntil2p8(s132))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40567, 9764, 37571])).
% 14.98/10.70 tff(40569,plain,
% 14.98/10.70 (~xuntil2p8(s132)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40568, 40564])).
% 14.98/10.70 tff(40570,plain,
% 14.98/10.70 (~always3(s132)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9772, 40558])).
% 14.98/10.70 tff(40571,plain,
% 14.98/10.70 (~node4(s132)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10239, 36, 40570])).
% 14.98/10.70 tff(40572,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40573,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40574,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s132) | xuntil2p8(s132) | (~until2p7(s132))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40573, 40572])).
% 14.98/10.70 tff(40575,plain,
% 14.98/10.70 (xuntil2p8(s132) | (~until2p7(s132))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40574, 37556, 40571])).
% 14.98/10.70 tff(40576,plain,
% 14.98/10.70 (~until2p7(s132)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40575, 40569])).
% 14.98/10.70 tff(40577,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40578,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40579,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40578, 40577])).
% 14.98/10.70 tff(40580,plain,
% 14.98/10.70 (until2p7(s132) | (~xuntil2p8(s131))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40579, 9776, 37571])).
% 14.98/10.70 tff(40581,plain,
% 14.98/10.70 (~xuntil2p8(s131)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40580, 40576])).
% 14.98/10.70 tff(40582,plain,
% 14.98/10.70 (~always3(s131)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9784, 40570])).
% 14.98/10.70 tff(40583,plain,
% 14.98/10.70 (~node4(s131)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10222, 36, 40582])).
% 14.98/10.70 tff(40584,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40585,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40586,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s131) | xuntil2p8(s131) | (~until2p7(s131))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40585, 40584])).
% 14.98/10.70 tff(40587,plain,
% 14.98/10.70 (xuntil2p8(s131) | (~until2p7(s131))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40586, 37556, 40583])).
% 14.98/10.70 tff(40588,plain,
% 14.98/10.70 (~until2p7(s131)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40587, 40581])).
% 14.98/10.70 tff(40589,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40590,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40591,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40590, 40589])).
% 14.98/10.70 tff(40592,plain,
% 14.98/10.70 (until2p7(s131) | (~xuntil2p8(s130))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40591, 9788, 37571])).
% 14.98/10.70 tff(40593,plain,
% 14.98/10.70 (~xuntil2p8(s130)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40592, 40588])).
% 14.98/10.70 tff(40594,plain,
% 14.98/10.70 (~always3(s130)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9796, 40582])).
% 14.98/10.70 tff(40595,plain,
% 14.98/10.70 (~node4(s130)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10205, 36, 40594])).
% 14.98/10.70 tff(40596,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40597,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40598,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s130) | xuntil2p8(s130) | (~until2p7(s130))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40597, 40596])).
% 14.98/10.70 tff(40599,plain,
% 14.98/10.70 (xuntil2p8(s130) | (~until2p7(s130))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40598, 37556, 40595])).
% 14.98/10.70 tff(40600,plain,
% 14.98/10.70 (~until2p7(s130)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40599, 40593])).
% 14.98/10.70 tff(40601,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40602,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40603,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40602, 40601])).
% 14.98/10.70 tff(40604,plain,
% 14.98/10.70 (until2p7(s130) | (~xuntil2p8(s129))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40603, 9800, 37571])).
% 14.98/10.70 tff(40605,plain,
% 14.98/10.70 (~xuntil2p8(s129)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40604, 40600])).
% 14.98/10.70 tff(40606,plain,
% 14.98/10.70 (~always3(s129)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9808, 40594])).
% 14.98/10.70 tff(40607,plain,
% 14.98/10.70 (~node4(s129)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10188, 36, 40606])).
% 14.98/10.70 tff(40608,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40609,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40610,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s129) | xuntil2p8(s129) | (~until2p7(s129))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40609, 40608])).
% 14.98/10.70 tff(40611,plain,
% 14.98/10.70 (xuntil2p8(s129) | (~until2p7(s129))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40610, 37556, 40607])).
% 14.98/10.70 tff(40612,plain,
% 14.98/10.70 (~until2p7(s129)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40611, 40605])).
% 14.98/10.70 tff(40613,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40614,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40615,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40614, 40613])).
% 14.98/10.70 tff(40616,plain,
% 14.98/10.70 (until2p7(s129) | (~xuntil2p8(s128))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40615, 9812, 37571])).
% 14.98/10.70 tff(40617,plain,
% 14.98/10.70 (~xuntil2p8(s128)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40616, 40612])).
% 14.98/10.70 tff(40618,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40619,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40620,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s128) | xuntil2p8(s128) | (~until2p7(s128))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40619, 40618])).
% 14.98/10.70 tff(40621,plain,
% 14.98/10.70 (xuntil2p8(s128) | (~until2p7(s128))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40620, 37556, 11324])).
% 14.98/10.70 tff(40622,plain,
% 14.98/10.70 (~until2p7(s128)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40621, 40617])).
% 14.98/10.70 tff(40623,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40624,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40625,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40624, 40623])).
% 14.98/10.70 tff(40626,plain,
% 14.98/10.70 (until2p7(s128) | (~xuntil2p8(s127))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40625, 9824, 37571])).
% 14.98/10.70 tff(40627,plain,
% 14.98/10.70 (~xuntil2p8(s127)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40626, 40622])).
% 14.98/10.70 tff(40628,plain,
% 14.98/10.70 (~always3(s128)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9820, 40606])).
% 14.98/10.70 tff(40629,plain,
% 14.98/10.70 (~always3(s127)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9832, 40628])).
% 14.98/10.70 tff(40630,plain,
% 14.98/10.70 (~node4(s127)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10154, 36, 40629])).
% 14.98/10.70 tff(40631,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40632,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40633,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s127) | xuntil2p8(s127) | (~until2p7(s127))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40632, 40631])).
% 14.98/10.70 tff(40634,plain,
% 14.98/10.70 (xuntil2p8(s127) | (~until2p7(s127))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40633, 37556, 40630])).
% 14.98/10.70 tff(40635,plain,
% 14.98/10.70 (~until2p7(s127)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40634, 40627])).
% 14.98/10.70 tff(40636,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40637,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40638,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40637, 40636])).
% 14.98/10.70 tff(40639,plain,
% 14.98/10.70 (until2p7(s127) | (~xuntil2p8(s126))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40638, 9836, 37571])).
% 14.98/10.70 tff(40640,plain,
% 14.98/10.70 (~xuntil2p8(s126)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40639, 40635])).
% 14.98/10.70 tff(40641,plain,
% 14.98/10.70 (~always3(s126)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9844, 40629])).
% 14.98/10.70 tff(40642,plain,
% 14.98/10.70 (~node4(s126)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10137, 36, 40641])).
% 14.98/10.70 tff(40643,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40644,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40645,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s126) | xuntil2p8(s126) | (~until2p7(s126))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40644, 40643])).
% 14.98/10.70 tff(40646,plain,
% 14.98/10.70 (xuntil2p8(s126) | (~until2p7(s126))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40645, 37556, 40642])).
% 14.98/10.70 tff(40647,plain,
% 14.98/10.70 (~until2p7(s126)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40646, 40640])).
% 14.98/10.70 tff(40648,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40649,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40650,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40649, 40648])).
% 14.98/10.70 tff(40651,plain,
% 14.98/10.70 (until2p7(s126) | (~xuntil2p8(s125))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40650, 9848, 37571])).
% 14.98/10.70 tff(40652,plain,
% 14.98/10.70 (~xuntil2p8(s125)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40651, 40647])).
% 14.98/10.70 tff(40653,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40654,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40655,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s125) | xuntil2p8(s125) | (~until2p7(s125))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40654, 40653])).
% 14.98/10.70 tff(40656,plain,
% 14.98/10.70 (xuntil2p8(s125) | (~until2p7(s125))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40655, 37556, 11247])).
% 14.98/10.70 tff(40657,plain,
% 14.98/10.70 (~until2p7(s125)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40656, 40652])).
% 14.98/10.70 tff(40658,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40659,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40660,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40659, 40658])).
% 14.98/10.70 tff(40661,plain,
% 14.98/10.70 (until2p7(s125) | (~xuntil2p8(s124))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40660, 9860, 37571])).
% 14.98/10.70 tff(40662,plain,
% 14.98/10.70 (~xuntil2p8(s124)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40661, 40657])).
% 14.98/10.70 tff(40663,plain,
% 14.98/10.70 (~always3(s125)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9856, 40641])).
% 14.98/10.70 tff(40664,plain,
% 14.98/10.70 (~always3(s124)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9868, 40663])).
% 14.98/10.70 tff(40665,plain,
% 14.98/10.70 (~node4(s124)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10103, 36, 40664])).
% 14.98/10.70 tff(40666,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40667,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40668,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s124) | xuntil2p8(s124) | (~until2p7(s124))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40667, 40666])).
% 14.98/10.70 tff(40669,plain,
% 14.98/10.70 (xuntil2p8(s124) | (~until2p7(s124))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40668, 37556, 40665])).
% 14.98/10.70 tff(40670,plain,
% 14.98/10.70 (~until2p7(s124)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40669, 40662])).
% 14.98/10.70 tff(40671,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40672,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40673,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40672, 40671])).
% 14.98/10.70 tff(40674,plain,
% 14.98/10.70 (until2p7(s124) | (~xuntil2p8(s123))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40673, 9872, 37571])).
% 14.98/10.70 tff(40675,plain,
% 14.98/10.70 (~xuntil2p8(s123)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40674, 40670])).
% 14.98/10.70 tff(40676,plain,
% 14.98/10.70 (~always3(s123)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[9880, 40664])).
% 14.98/10.70 tff(40677,plain,
% 14.98/10.70 (~node4(s123)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[10086, 36, 40676])).
% 14.98/10.70 tff(40678,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40679,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40680,plain,
% 14.98/10.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s123) | xuntil2p8(s123) | (~until2p7(s123))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40679, 40678])).
% 14.98/10.70 tff(40681,plain,
% 14.98/10.70 (xuntil2p8(s123) | (~until2p7(s123))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40680, 37556, 40677])).
% 14.98/10.70 tff(40682,plain,
% 14.98/10.70 (~until2p7(s123)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40681, 40675])).
% 14.98/10.70 tff(40683,plain,
% 14.98/10.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.70 tff(40684,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))),
% 14.98/10.70 inference(quant_inst,[status(thm)],[])).
% 14.98/10.70 tff(40685,plain,
% 14.98/10.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122))),
% 14.98/10.70 inference(modus_ponens,[status(thm)],[40684, 40683])).
% 14.98/10.70 tff(40686,plain,
% 14.98/10.70 (until2p7(s123) | (~xuntil2p8(s122))),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40685, 9884, 37571])).
% 14.98/10.70 tff(40687,plain,
% 14.98/10.70 (~xuntil2p8(s122)),
% 14.98/10.70 inference(unit_resolution,[status(thm)],[40686, 40682])).
% 14.98/10.70 tff(40688,plain,
% 14.98/10.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))),
% 14.98/10.70 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40689,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40690,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s122) | xuntil2p8(s122) | (~until2p7(s122))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40689, 40688])).
% 14.98/10.71 tff(40691,plain,
% 14.98/10.71 (xuntil2p8(s122) | (~until2p7(s122))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40690, 37556, 11090])).
% 14.98/10.71 tff(40692,plain,
% 14.98/10.71 (~until2p7(s122)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40691, 40687])).
% 14.98/10.71 tff(40693,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40694,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40695,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40694, 40693])).
% 14.98/10.71 tff(40696,plain,
% 14.98/10.71 (until2p7(s122) | (~xuntil2p8(s121))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40695, 9896, 37571])).
% 14.98/10.71 tff(40697,plain,
% 14.98/10.71 (~xuntil2p8(s121)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40696, 40692])).
% 14.98/10.71 tff(40698,plain,
% 14.98/10.71 (~always3(s122)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9892, 40676])).
% 14.98/10.71 tff(40699,plain,
% 14.98/10.71 (~always3(s121)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9904, 40698])).
% 14.98/10.71 tff(40700,plain,
% 14.98/10.71 (~node4(s121)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[10052, 36, 40699])).
% 14.98/10.71 tff(40701,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40702,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40703,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s121) | xuntil2p8(s121) | (~until2p7(s121))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40702, 40701])).
% 14.98/10.71 tff(40704,plain,
% 14.98/10.71 (xuntil2p8(s121) | (~until2p7(s121))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40703, 37556, 40700])).
% 14.98/10.71 tff(40705,plain,
% 14.98/10.71 (~until2p7(s121)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40704, 40697])).
% 14.98/10.71 tff(40706,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40707,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40708,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40707, 40706])).
% 14.98/10.71 tff(40709,plain,
% 14.98/10.71 (until2p7(s121) | (~xuntil2p8(s120))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40708, 9908, 37571])).
% 14.98/10.71 tff(40710,plain,
% 14.98/10.71 (~xuntil2p8(s120)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40709, 40705])).
% 14.98/10.71 tff(40711,plain,
% 14.98/10.71 (~always3(s120)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9916, 40699])).
% 14.98/10.71 tff(40712,plain,
% 14.98/10.71 (~node4(s120)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[10035, 36, 40711])).
% 14.98/10.71 tff(40713,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40714,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40715,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s120) | xuntil2p8(s120) | (~until2p7(s120))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40714, 40713])).
% 14.98/10.71 tff(40716,plain,
% 14.98/10.71 (xuntil2p8(s120) | (~until2p7(s120))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40715, 37556, 40712])).
% 14.98/10.71 tff(40717,plain,
% 14.98/10.71 (~until2p7(s120)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40716, 40710])).
% 14.98/10.71 tff(40718,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40719,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40720,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40719, 40718])).
% 14.98/10.71 tff(40721,plain,
% 14.98/10.71 (until2p7(s120) | (~xuntil2p8(s119))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40720, 9920, 37571])).
% 14.98/10.71 tff(40722,plain,
% 14.98/10.71 (~xuntil2p8(s119)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40721, 40717])).
% 14.98/10.71 tff(40723,plain,
% 14.98/10.71 (~always3(s119)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9928, 40711])).
% 14.98/10.71 tff(40724,plain,
% 14.98/10.71 (~node4(s119)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[10018, 36, 40723])).
% 14.98/10.71 tff(40725,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40726,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40727,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s119) | xuntil2p8(s119) | (~until2p7(s119))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40726, 40725])).
% 14.98/10.71 tff(40728,plain,
% 14.98/10.71 (xuntil2p8(s119) | (~until2p7(s119))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40727, 37556, 40724])).
% 14.98/10.71 tff(40729,plain,
% 14.98/10.71 (~until2p7(s119)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40728, 40722])).
% 14.98/10.71 tff(40730,assumption,(xuntil6(s399)), introduced(assumption)).
% 14.98/10.71 tff(40731,assumption,(~until2p7(s119)), introduced(assumption)).
% 14.98/10.71 tff(40732,assumption,(trans(s399, s119)), introduced(assumption)).
% 14.98/10.71 tff(40733,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s119) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s119)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40734,plain,
% 14.98/10.71 (((~trans(s399, s119)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s119)) <=> (until2p7(s119) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s119)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40735,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s119)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s119) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s119))))),
% 14.98/10.71 inference(monotonicity,[status(thm)],[40734])).
% 14.98/10.71 tff(40736,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s119)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s119)))),
% 14.98/10.71 inference(transitivity,[status(thm)],[40735, 40733])).
% 14.98/10.71 tff(40737,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s119)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s119))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40738,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s119))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40737, 40736])).
% 14.98/10.71 tff(40739,plain,
% 14.98/10.71 ($false),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40738, 37542, 40732, 38491, 40731, 40730])).
% 14.98/10.71 tff(40740,plain,((~trans(s399, s119)) | until2p7(s119) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.71 tff(40741,plain,
% 14.98/10.71 (~trans(s399, s119)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40740, 40729, 37532])).
% 14.98/10.71 tff(40742,assumption,(~until2p7(s280)), introduced(assumption)).
% 14.98/10.71 tff(40743,assumption,(trans(s399, s280)), introduced(assumption)).
% 14.98/10.71 tff(40744,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s280) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s280)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s280)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40745,plain,
% 14.98/10.71 (((~trans(s399, s280)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s280)) <=> (until2p7(s280) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s280)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40746,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s280)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s280) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s280))))),
% 14.98/10.71 inference(monotonicity,[status(thm)],[40745])).
% 14.98/10.71 tff(40747,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s280)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s280)))),
% 14.98/10.71 inference(transitivity,[status(thm)],[40746, 40744])).
% 14.98/10.71 tff(40748,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s280)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s280))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40749,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s280))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40748, 40747])).
% 14.98/10.71 tff(40750,plain,
% 14.98/10.71 ($false),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40749, 37542, 40743, 38491, 40742, 40730])).
% 14.98/10.71 tff(40751,plain,((~trans(s399, s280)) | until2p7(s280) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.71 tff(40752,plain,
% 14.98/10.71 (~trans(s399, s280)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40751, 38819, 37532])).
% 14.98/10.71 tff(40753,assumption,(~until2p7(s147)), introduced(assumption)).
% 14.98/10.71 tff(40754,assumption,(trans(s399, s147)), introduced(assumption)).
% 14.98/10.71 tff(40755,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s147)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40756,plain,
% 14.98/10.71 (((~trans(s399, s147)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s147)) <=> (until2p7(s147) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s147)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40757,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s147)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s147))))),
% 14.98/10.71 inference(monotonicity,[status(thm)],[40756])).
% 14.98/10.71 tff(40758,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s147)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s147)))),
% 14.98/10.71 inference(transitivity,[status(thm)],[40757, 40755])).
% 14.98/10.71 tff(40759,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s147)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s147))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40760,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s147))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40759, 40758])).
% 14.98/10.71 tff(40761,plain,
% 14.98/10.71 ($false),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40760, 37542, 40754, 38491, 40753, 40730])).
% 14.98/10.71 tff(40762,plain,((~trans(s399, s147)) | until2p7(s147) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.71 tff(40763,plain,
% 14.98/10.71 (~trans(s399, s147)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40762, 40400, 37532])).
% 14.98/10.71 tff(40764,assumption,(~until2p7(s232)), introduced(assumption)).
% 14.98/10.71 tff(40765,assumption,(trans(s399, s232)), introduced(assumption)).
% 14.98/10.71 tff(40766,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s232) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s232)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s232)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40767,plain,
% 14.98/10.71 (((~trans(s399, s232)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s232)) <=> (until2p7(s232) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s232)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40768,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s232)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s232) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s232))))),
% 14.98/10.71 inference(monotonicity,[status(thm)],[40767])).
% 14.98/10.71 tff(40769,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s232)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s232)))),
% 14.98/10.71 inference(transitivity,[status(thm)],[40768, 40766])).
% 14.98/10.71 tff(40770,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s232)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s232))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40771,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s232))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40770, 40769])).
% 14.98/10.71 tff(40772,plain,
% 14.98/10.71 ($false),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40771, 37542, 40765, 38491, 40764, 40730])).
% 14.98/10.71 tff(40773,plain,((~trans(s399, s232)) | until2p7(s232) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.71 tff(40774,plain,
% 14.98/10.71 (~trans(s399, s232)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40773, 39395, 37532])).
% 14.98/10.71 tff(40775,assumption,(~until2p7(s169)), introduced(assumption)).
% 14.98/10.71 tff(40776,assumption,(trans(s399, s169)), introduced(assumption)).
% 14.98/10.71 tff(40777,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s169) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s169)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40778,plain,
% 14.98/10.71 (((~trans(s399, s169)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s169)) <=> (until2p7(s169) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s169)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40779,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s169)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s169) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s169))))),
% 14.98/10.71 inference(monotonicity,[status(thm)],[40778])).
% 14.98/10.71 tff(40780,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s169)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s169)))),
% 14.98/10.71 inference(transitivity,[status(thm)],[40779, 40777])).
% 14.98/10.71 tff(40781,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s169)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s169))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40782,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s169))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40781, 40780])).
% 14.98/10.71 tff(40783,plain,
% 14.98/10.71 ($false),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40782, 37542, 40776, 38491, 40775, 40730])).
% 14.98/10.71 tff(40784,plain,((~trans(s399, s169)) | until2p7(s169) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.71 tff(40785,plain,
% 14.98/10.71 (~trans(s399, s169)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40784, 40143, 37532])).
% 14.98/10.71 tff(40786,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40787,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40788,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40787, 40786])).
% 14.98/10.71 tff(40789,plain,
% 14.98/10.71 (until2p7(s119) | (~xuntil2p8(s118))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40788, 9932, 37571])).
% 14.98/10.71 tff(40790,plain,
% 14.98/10.71 (~xuntil2p8(s118)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40789, 40729])).
% 14.98/10.71 tff(40791,plain,
% 14.98/10.71 (~always3(s118)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9940, 40723])).
% 14.98/10.71 tff(40792,plain,
% 14.98/10.71 (~node4(s118)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[10001, 36, 40791])).
% 14.98/10.71 tff(40793,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40794,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40795,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s118) | xuntil2p8(s118) | (~until2p7(s118))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40794, 40793])).
% 14.98/10.71 tff(40796,plain,
% 14.98/10.71 (xuntil2p8(s118) | (~until2p7(s118))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40795, 37556, 40792])).
% 14.98/10.71 tff(40797,plain,
% 14.98/10.71 (~until2p7(s118)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40796, 40790])).
% 14.98/10.71 tff(40798,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40799,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40800,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40799, 40798])).
% 14.98/10.71 tff(40801,plain,
% 14.98/10.71 (until2p7(s118) | (~xuntil2p8(s117))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40800, 9944, 37571])).
% 14.98/10.71 tff(40802,plain,
% 14.98/10.71 (~xuntil2p8(s117)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40801, 40797])).
% 14.98/10.71 tff(40803,plain,
% 14.98/10.71 (~always3(s117)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9952, 40791])).
% 14.98/10.71 tff(40804,plain,
% 14.98/10.71 (~node4(s117)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9956, 36, 40803])).
% 14.98/10.71 tff(40805,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40806,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40807,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s117) | xuntil2p8(s117) | (~until2p7(s117))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40806, 40805])).
% 14.98/10.71 tff(40808,plain,
% 14.98/10.71 (xuntil2p8(s117) | (~until2p7(s117))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40807, 37556, 40804])).
% 14.98/10.71 tff(40809,plain,
% 14.98/10.71 (~until2p7(s117)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40808, 40802])).
% 14.98/10.71 tff(40810,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40811,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40812,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40811, 40810])).
% 14.98/10.71 tff(40813,plain,
% 14.98/10.71 (until2p7(s117) | (~xuntil2p8(s116))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40812, 9960, 37571])).
% 14.98/10.71 tff(40814,plain,
% 14.98/10.71 (~xuntil2p8(s116)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40813, 40809])).
% 14.98/10.71 tff(40815,plain,
% 14.98/10.71 (~always3(s116)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9968, 40803])).
% 14.98/10.71 tff(40816,plain,
% 14.98/10.71 (~node4(s116)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[9972, 36, 40815])).
% 14.98/10.71 tff(40817,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40818,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40819,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s116) | xuntil2p8(s116) | (~until2p7(s116))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40818, 40817])).
% 14.98/10.71 tff(40820,plain,
% 14.98/10.71 (xuntil2p8(s116) | (~until2p7(s116))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40819, 37556, 40816])).
% 14.98/10.71 tff(40821,plain,
% 14.98/10.71 (~until2p7(s116)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40820, 40814])).
% 14.98/10.71 tff(40822,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40823,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40824,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40823, 40822])).
% 14.98/10.71 tff(40825,plain,
% 14.98/10.71 (until2p7(s116) | (~xuntil2p8(s115))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40824, 8888, 37571])).
% 14.98/10.71 tff(40826,plain,
% 14.98/10.71 (~xuntil2p8(s115)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40825, 40821])).
% 14.98/10.71 tff(40827,plain,
% 14.98/10.71 (~always3(s115)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[8896, 40815])).
% 14.98/10.71 tff(40828,plain,
% 14.98/10.71 (~node4(s115)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[8814, 36, 40827])).
% 14.98/10.71 tff(40829,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40830,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40831,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s115) | xuntil2p8(s115) | (~until2p7(s115))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40830, 40829])).
% 14.98/10.71 tff(40832,plain,
% 14.98/10.71 (xuntil2p8(s115) | (~until2p7(s115))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40831, 37556, 40828])).
% 14.98/10.71 tff(40833,plain,
% 14.98/10.71 (~until2p7(s115)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40832, 40826])).
% 14.98/10.71 tff(40834,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40835,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40836,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40835, 40834])).
% 14.98/10.71 tff(40837,plain,
% 14.98/10.71 (until2p7(s115) | (~xuntil2p8(s114))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40836, 8798, 37571])).
% 14.98/10.71 tff(40838,plain,
% 14.98/10.71 (~xuntil2p8(s114)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40837, 40833])).
% 14.98/10.71 tff(40839,plain,
% 14.98/10.71 (~always3(s114)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[8806, 40827])).
% 14.98/10.71 tff(40840,plain,
% 14.98/10.71 (~node4(s114)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[8810, 36, 40839])).
% 14.98/10.71 tff(40841,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40842,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40843,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s114) | xuntil2p8(s114) | (~until2p7(s114))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40842, 40841])).
% 14.98/10.71 tff(40844,plain,
% 14.98/10.71 (xuntil2p8(s114) | (~until2p7(s114))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40843, 37556, 40840])).
% 14.98/10.71 tff(40845,plain,
% 14.98/10.71 (~until2p7(s114)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40844, 40838])).
% 14.98/10.71 tff(40846,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40847,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40848,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40847, 40846])).
% 14.98/10.71 tff(40849,plain,
% 14.98/10.71 (until2p7(s114) | (~xuntil2p8(s113))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40848, 8731, 37571])).
% 14.98/10.71 tff(40850,plain,
% 14.98/10.71 (~xuntil2p8(s113)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40849, 40845])).
% 14.98/10.71 tff(40851,plain,
% 14.98/10.71 (~always3(s113)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[8739, 40839])).
% 14.98/10.71 tff(40852,plain,
% 14.98/10.71 (~node4(s113)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[8681, 36, 40851])).
% 14.98/10.71 tff(40853,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40854,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40855,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s113) | xuntil2p8(s113) | (~until2p7(s113))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40854, 40853])).
% 14.98/10.71 tff(40856,plain,
% 14.98/10.71 (xuntil2p8(s113) | (~until2p7(s113))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40855, 37556, 40852])).
% 14.98/10.71 tff(40857,plain,
% 14.98/10.71 (~until2p7(s113)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40856, 40850])).
% 14.98/10.71 tff(40858,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40859,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40860,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40859, 40858])).
% 14.98/10.71 tff(40861,plain,
% 14.98/10.71 (until2p7(s113) | (~xuntil2p8(s112))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40860, 8693, 37571])).
% 14.98/10.71 tff(40862,plain,
% 14.98/10.71 (~xuntil2p8(s112)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40861, 40857])).
% 14.98/10.71 tff(40863,plain,
% 14.98/10.71 (~always3(s112)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[8701, 40851])).
% 14.98/10.71 tff(40864,plain,
% 14.98/10.71 (~node4(s112)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[8705, 36, 40863])).
% 14.98/10.71 tff(40865,plain,
% 14.98/10.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40866,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))),
% 14.98/10.71 inference(quant_inst,[status(thm)],[])).
% 14.98/10.71 tff(40867,plain,
% 14.98/10.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s112) | xuntil2p8(s112) | (~until2p7(s112))),
% 14.98/10.71 inference(modus_ponens,[status(thm)],[40866, 40865])).
% 14.98/10.71 tff(40868,plain,
% 14.98/10.71 (xuntil2p8(s112) | (~until2p7(s112))),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40867, 37556, 40864])).
% 14.98/10.71 tff(40869,plain,
% 14.98/10.71 (~until2p7(s112)),
% 14.98/10.71 inference(unit_resolution,[status(thm)],[40868, 40862])).
% 14.98/10.71 tff(40870,plain,
% 14.98/10.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))),
% 14.98/10.71 inference(rewrite,[status(thm)],[])).
% 14.98/10.71 tff(40871,plain,
% 14.98/10.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40872,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40871, 40870])).
% 14.98/10.72 tff(40873,plain,
% 14.98/10.72 (until2p7(s112) | (~xuntil2p8(s111))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40872, 8631, 37571])).
% 14.98/10.72 tff(40874,plain,
% 14.98/10.72 (~xuntil2p8(s111)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40873, 40869])).
% 14.98/10.72 tff(40875,plain,
% 14.98/10.72 (~always3(s111)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8639, 40863])).
% 14.98/10.72 tff(40876,plain,
% 14.98/10.72 (~node4(s111)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8392, 36, 40875])).
% 14.98/10.72 tff(40877,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40878,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40879,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s111) | xuntil2p8(s111) | (~until2p7(s111))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40878, 40877])).
% 14.98/10.72 tff(40880,plain,
% 14.98/10.72 (xuntil2p8(s111) | (~until2p7(s111))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40879, 37556, 40876])).
% 14.98/10.72 tff(40881,plain,
% 14.98/10.72 (~until2p7(s111)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40880, 40874])).
% 14.98/10.72 tff(40882,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40883,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40884,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40883, 40882])).
% 14.98/10.72 tff(40885,plain,
% 14.98/10.72 (until2p7(s111) | (~xuntil2p8(s110))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40884, 8334, 37571])).
% 14.98/10.72 tff(40886,plain,
% 14.98/10.72 (~xuntil2p8(s110)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40885, 40881])).
% 14.98/10.72 tff(40887,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40888,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40889,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s110) | xuntil2p8(s110) | (~until2p7(s110))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40888, 40887])).
% 14.98/10.72 tff(40890,plain,
% 14.98/10.72 (xuntil2p8(s110) | (~until2p7(s110))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40889, 37556, 8365])).
% 14.98/10.72 tff(40891,plain,
% 14.98/10.72 (~until2p7(s110)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40890, 40886])).
% 14.98/10.72 tff(40892,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40893,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40894,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40893, 40892])).
% 14.98/10.72 tff(40895,plain,
% 14.98/10.72 (until2p7(s110) | (~xuntil2p8(s109))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40894, 8175, 37571])).
% 14.98/10.72 tff(40896,plain,
% 14.98/10.72 (~xuntil2p8(s109)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40895, 40891])).
% 14.98/10.72 tff(40897,plain,
% 14.98/10.72 (~always3(s110)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8342, 40875])).
% 14.98/10.72 tff(40898,plain,
% 14.98/10.72 (~always3(s109)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8183, 40897])).
% 14.98/10.72 tff(40899,plain,
% 14.98/10.72 (~node4(s109)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8027, 36, 40898])).
% 14.98/10.72 tff(40900,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40901,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40902,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s109) | xuntil2p8(s109) | (~until2p7(s109))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40901, 40900])).
% 14.98/10.72 tff(40903,plain,
% 14.98/10.72 (xuntil2p8(s109) | (~until2p7(s109))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40902, 37556, 40899])).
% 14.98/10.72 tff(40904,plain,
% 14.98/10.72 (~until2p7(s109)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40903, 40896])).
% 14.98/10.72 tff(40905,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40906,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40907,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40906, 40905])).
% 14.98/10.72 tff(40908,plain,
% 14.98/10.72 (until2p7(s109) | (~xuntil2p8(s108))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40907, 8011, 37571])).
% 14.98/10.72 tff(40909,plain,
% 14.98/10.72 (~xuntil2p8(s108)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40908, 40904])).
% 14.98/10.72 tff(40910,plain,
% 14.98/10.72 (~always3(s108)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8019, 40898])).
% 14.98/10.72 tff(40911,plain,
% 14.98/10.72 (~node4(s108)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8023, 36, 40910])).
% 14.98/10.72 tff(40912,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40913,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40914,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s108) | xuntil2p8(s108) | (~until2p7(s108))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40913, 40912])).
% 14.98/10.72 tff(40915,plain,
% 14.98/10.72 (xuntil2p8(s108) | (~until2p7(s108))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40914, 37556, 40911])).
% 14.98/10.72 tff(40916,plain,
% 14.98/10.72 (~until2p7(s108)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40915, 40909])).
% 14.98/10.72 tff(40917,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40918,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40919,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40918, 40917])).
% 14.98/10.72 tff(40920,plain,
% 14.98/10.72 (until2p7(s108) | (~xuntil2p8(s107))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40919, 8051, 37571])).
% 14.98/10.72 tff(40921,plain,
% 14.98/10.72 (~xuntil2p8(s107)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40920, 40916])).
% 14.98/10.72 tff(40922,plain,
% 14.98/10.72 (~always3(s107)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8064, 40910])).
% 14.98/10.72 tff(40923,plain,
% 14.98/10.72 (~node4(s107)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8125, 36, 40922])).
% 14.98/10.72 tff(40924,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40925,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40926,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s107) | xuntil2p8(s107) | (~until2p7(s107))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40925, 40924])).
% 14.98/10.72 tff(40927,plain,
% 14.98/10.72 (xuntil2p8(s107) | (~until2p7(s107))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40926, 37556, 40923])).
% 14.98/10.72 tff(40928,plain,
% 14.98/10.72 (~until2p7(s107)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40927, 40921])).
% 14.98/10.72 tff(40929,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40930,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40931,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40930, 40929])).
% 14.98/10.72 tff(40932,plain,
% 14.98/10.72 (until2p7(s107) | (~xuntil2p8(s106))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40931, 8068, 37571])).
% 14.98/10.72 tff(40933,plain,
% 14.98/10.72 (~xuntil2p8(s106)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40932, 40928])).
% 14.98/10.72 tff(40934,plain,
% 14.98/10.72 (~always3(s106)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8076, 40922])).
% 14.98/10.72 tff(40935,plain,
% 14.98/10.72 (~node4(s106)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8080, 36, 40934])).
% 14.98/10.72 tff(40936,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40937,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40938,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s106) | xuntil2p8(s106) | (~until2p7(s106))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40937, 40936])).
% 14.98/10.72 tff(40939,plain,
% 14.98/10.72 (xuntil2p8(s106) | (~until2p7(s106))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40938, 37556, 40935])).
% 14.98/10.72 tff(40940,plain,
% 14.98/10.72 (~until2p7(s106)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40939, 40933])).
% 14.98/10.72 tff(40941,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40942,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40943,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40942, 40941])).
% 14.98/10.72 tff(40944,plain,
% 14.98/10.72 (until2p7(s106) | (~xuntil2p8(s105))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40943, 8084, 37571])).
% 14.98/10.72 tff(40945,plain,
% 14.98/10.72 (~xuntil2p8(s105)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40944, 40940])).
% 14.98/10.72 tff(40946,plain,
% 14.98/10.72 (~always3(s105)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8092, 40934])).
% 14.98/10.72 tff(40947,plain,
% 14.98/10.72 (~node4(s105)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[8096, 36, 40946])).
% 14.98/10.72 tff(40948,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40949,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40950,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s105) | xuntil2p8(s105) | (~until2p7(s105))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40949, 40948])).
% 14.98/10.72 tff(40951,plain,
% 14.98/10.72 (xuntil2p8(s105) | (~until2p7(s105))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40950, 37556, 40947])).
% 14.98/10.72 tff(40952,plain,
% 14.98/10.72 (~until2p7(s105)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40951, 40945])).
% 14.98/10.72 tff(40953,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40954,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40955,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40954, 40953])).
% 14.98/10.72 tff(40956,plain,
% 14.98/10.72 (until2p7(s105) | (~xuntil2p8(s104))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40955, 7961, 37571])).
% 14.98/10.72 tff(40957,plain,
% 14.98/10.72 (~xuntil2p8(s104)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40956, 40952])).
% 14.98/10.72 tff(40958,plain,
% 14.98/10.72 (~always3(s104)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7969, 40946])).
% 14.98/10.72 tff(40959,plain,
% 14.98/10.72 (~node4(s104)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7787, 36, 40958])).
% 14.98/10.72 tff(40960,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40961,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40962,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s104) | xuntil2p8(s104) | (~until2p7(s104))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40961, 40960])).
% 14.98/10.72 tff(40963,plain,
% 14.98/10.72 (xuntil2p8(s104) | (~until2p7(s104))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40962, 37556, 40959])).
% 14.98/10.72 tff(40964,plain,
% 14.98/10.72 (~until2p7(s104)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40963, 40957])).
% 14.98/10.72 tff(40965,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40966,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40967,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40966, 40965])).
% 14.98/10.72 tff(40968,plain,
% 14.98/10.72 (until2p7(s104) | (~xuntil2p8(s103))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40967, 7446, 37571])).
% 14.98/10.72 tff(40969,plain,
% 14.98/10.72 (~xuntil2p8(s103)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40968, 40964])).
% 14.98/10.72 tff(40970,plain,
% 14.98/10.72 (~always3(s103)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7454, 40958])).
% 14.98/10.72 tff(40971,plain,
% 14.98/10.72 (~node4(s103)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7096, 36, 40970])).
% 14.98/10.72 tff(40972,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40973,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40974,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s103) | xuntil2p8(s103) | (~until2p7(s103))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40973, 40972])).
% 14.98/10.72 tff(40975,plain,
% 14.98/10.72 (xuntil2p8(s103) | (~until2p7(s103))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40974, 37556, 40971])).
% 14.98/10.72 tff(40976,plain,
% 14.98/10.72 (~until2p7(s103)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40975, 40969])).
% 14.98/10.72 tff(40977,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40978,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40979,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40978, 40977])).
% 14.98/10.72 tff(40980,plain,
% 14.98/10.72 (until2p7(s103) | (~xuntil2p8(s102))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40979, 7080, 37571])).
% 14.98/10.72 tff(40981,plain,
% 14.98/10.72 (~xuntil2p8(s102)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40980, 40976])).
% 14.98/10.72 tff(40982,plain,
% 14.98/10.72 (~always3(s102)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7088, 40970])).
% 14.98/10.72 tff(40983,plain,
% 14.98/10.72 (~node4(s102)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7092, 36, 40982])).
% 14.98/10.72 tff(40984,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40985,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40986,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s102) | xuntil2p8(s102) | (~until2p7(s102))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40985, 40984])).
% 14.98/10.72 tff(40987,plain,
% 14.98/10.72 (xuntil2p8(s102) | (~until2p7(s102))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40986, 37556, 40983])).
% 14.98/10.72 tff(40988,plain,
% 14.98/10.72 (~until2p7(s102)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40987, 40981])).
% 14.98/10.72 tff(40989,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40990,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40991,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40990, 40989])).
% 14.98/10.72 tff(40992,plain,
% 14.98/10.72 (until2p7(s102) | (~xuntil2p8(s101))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40991, 7120, 37571])).
% 14.98/10.72 tff(40993,plain,
% 14.98/10.72 (~xuntil2p8(s101)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40992, 40988])).
% 14.98/10.72 tff(40994,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(40995,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(40996,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s101) | xuntil2p8(s101) | (~until2p7(s101))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[40995, 40994])).
% 14.98/10.72 tff(40997,plain,
% 14.98/10.72 (xuntil2p8(s101) | (~until2p7(s101))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40996, 37556, 7518])).
% 14.98/10.72 tff(40998,plain,
% 14.98/10.72 (~until2p7(s101)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[40997, 40993])).
% 14.98/10.72 tff(40999,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41000,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41001,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41000, 40999])).
% 14.98/10.72 tff(41002,plain,
% 14.98/10.72 (until2p7(s101) | (~xuntil2p8(s100))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41001, 7149, 37571])).
% 14.98/10.72 tff(41003,plain,
% 14.98/10.72 (~xuntil2p8(s100)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41002, 40998])).
% 14.98/10.72 tff(41004,plain,
% 14.98/10.72 (~always3(s101)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7133, 40982])).
% 14.98/10.72 tff(41005,plain,
% 14.98/10.72 (~always3(s100)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7162, 41004])).
% 14.98/10.72 tff(41006,plain,
% 14.98/10.72 (~node4(s100)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7166, 36, 41005])).
% 14.98/10.72 tff(41007,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41008,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41009,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s100) | xuntil2p8(s100) | (~until2p7(s100))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41008, 41007])).
% 14.98/10.72 tff(41010,plain,
% 14.98/10.72 (xuntil2p8(s100) | (~until2p7(s100))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41009, 37556, 41006])).
% 14.98/10.72 tff(41011,plain,
% 14.98/10.72 (~until2p7(s100)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41010, 41003])).
% 14.98/10.72 tff(41012,plain,
% 14.98/10.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41013,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41014,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41013, 41012])).
% 14.98/10.72 tff(41015,plain,
% 14.98/10.72 (until2p7(s100) | (~xuntil2p8(s99))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41014, 7178, 37571])).
% 14.98/10.72 tff(41016,plain,
% 14.98/10.72 (~xuntil2p8(s99)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41015, 41011])).
% 14.98/10.72 tff(41017,plain,
% 14.98/10.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41018,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41019,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s99) | xuntil2p8(s99) | (~until2p7(s99))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41018, 41017])).
% 14.98/10.72 tff(41020,plain,
% 14.98/10.72 (xuntil2p8(s99) | (~until2p7(s99))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41019, 37556, 7569])).
% 14.98/10.72 tff(41021,plain,
% 14.98/10.72 (~until2p7(s99)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41020, 41016])).
% 14.98/10.72 tff(41022,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41023,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41024,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41023, 41022])).
% 14.98/10.72 tff(41025,plain,
% 14.98/10.72 (until2p7(s99) | (~xuntil2p8(s98))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41024, 7207, 37571])).
% 14.98/10.72 tff(41026,plain,
% 14.98/10.72 (~xuntil2p8(s98)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41025, 41021])).
% 14.98/10.72 tff(41027,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41028,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41029,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s98) | xuntil2p8(s98) | (~until2p7(s98))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41028, 41027])).
% 14.98/10.72 tff(41030,plain,
% 14.98/10.72 (xuntil2p8(s98) | (~until2p7(s98))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41029, 37556, 7598])).
% 14.98/10.72 tff(41031,plain,
% 14.98/10.72 (~until2p7(s98)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41030, 41026])).
% 14.98/10.72 tff(41032,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41033,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41034,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41033, 41032])).
% 14.98/10.72 tff(41035,plain,
% 14.98/10.72 (until2p7(s98) | (~xuntil2p8(s97))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41034, 7008, 37571])).
% 14.98/10.72 tff(41036,plain,
% 14.98/10.72 (~xuntil2p8(s97)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41035, 41031])).
% 14.98/10.72 tff(41037,plain,
% 14.98/10.72 (~always3(s99)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7191, 41005])).
% 14.98/10.72 tff(41038,plain,
% 14.98/10.72 (~always3(s98)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7220, 41037])).
% 14.98/10.72 tff(41039,plain,
% 14.98/10.72 (~always3(s97)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7016, 41038])).
% 14.98/10.72 tff(41040,plain,
% 14.98/10.72 (~node4(s97)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6958, 36, 41039])).
% 14.98/10.72 tff(41041,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41042,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41043,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s97) | xuntil2p8(s97) | (~until2p7(s97))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41042, 41041])).
% 14.98/10.72 tff(41044,plain,
% 14.98/10.72 (xuntil2p8(s97) | (~until2p7(s97))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41043, 37556, 41040])).
% 14.98/10.72 tff(41045,plain,
% 14.98/10.72 (~until2p7(s97)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41044, 41036])).
% 14.98/10.72 tff(41046,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41047,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41048,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41047, 41046])).
% 14.98/10.72 tff(41049,plain,
% 14.98/10.72 (until2p7(s97) | (~xuntil2p8(s96))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41048, 6970, 37571])).
% 14.98/10.72 tff(41050,plain,
% 14.98/10.72 (~xuntil2p8(s96)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41049, 41045])).
% 14.98/10.72 tff(41051,assumption,(node4(s96)), introduced(assumption)).
% 14.98/10.72 tff(41052,plain,
% 14.98/10.72 (m_main_v_request(s96)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7047, 21, 41051])).
% 14.98/10.72 tff(41053,plain,
% 14.98/10.72 (always3(s96)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6982, 36, 41051])).
% 14.98/10.72 tff(41054,plain,
% 14.98/10.72 (always3(s97)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6978, 41053])).
% 14.98/10.72 tff(41055,plain,
% 14.98/10.72 (~m_main_v_state(s97, c_busy)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7004, 85, 41054])).
% 14.98/10.72 tff(41056,plain,
% 14.98/10.72 (~m_main_v_state(s96, c_ready)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7056, 41055, 41052])).
% 14.98/10.72 tff(41057,plain,
% 14.98/10.72 (~m_main_v_state(s96, c_busy)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7064, 85, 41053])).
% 14.98/10.72 tff(41058,plain,
% 14.98/10.72 ($false),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7068, 102, 41057, 41056])).
% 14.98/10.72 tff(41059,plain,(~node4(s96)), inference(lemma,lemma(discharge,[]))).
% 14.98/10.72 tff(41060,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41061,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41062,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s96) | xuntil2p8(s96) | (~until2p7(s96))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41061, 41060])).
% 14.98/10.72 tff(41063,plain,
% 14.98/10.72 (xuntil2p8(s96) | (~until2p7(s96))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41062, 37556, 41059])).
% 14.98/10.72 tff(41064,plain,
% 14.98/10.72 (~until2p7(s96)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41063, 41050])).
% 14.98/10.72 tff(41065,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41066,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41067,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41066, 41065])).
% 14.98/10.72 tff(41068,plain,
% 14.98/10.72 (until2p7(s96) | (~xuntil2p8(s95))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41067, 6947, 37571])).
% 14.98/10.72 tff(41069,plain,
% 14.98/10.72 (~xuntil2p8(s95)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41068, 41064])).
% 14.98/10.72 tff(41070,plain,
% 14.98/10.72 (~always3(s96)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6978, 41039])).
% 14.98/10.72 tff(41071,plain,
% 14.98/10.72 (~always3(s95)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[7252, 41070])).
% 14.98/10.72 tff(41072,plain,
% 14.98/10.72 (~node4(s95)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6935, 36, 41071])).
% 14.98/10.72 tff(41073,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41074,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41075,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s95) | xuntil2p8(s95) | (~until2p7(s95))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41074, 41073])).
% 14.98/10.72 tff(41076,plain,
% 14.98/10.72 (xuntil2p8(s95) | (~until2p7(s95))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41075, 37556, 41072])).
% 14.98/10.72 tff(41077,plain,
% 14.98/10.72 (~until2p7(s95)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41076, 41069])).
% 14.98/10.72 tff(41078,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41079,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41080,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41079, 41078])).
% 14.98/10.72 tff(41081,plain,
% 14.98/10.72 (until2p7(s95) | (~xuntil2p8(s94))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41080, 6614, 37571])).
% 14.98/10.72 tff(41082,plain,
% 14.98/10.72 (~xuntil2p8(s94)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41081, 41077])).
% 14.98/10.72 tff(41083,plain,
% 14.98/10.72 (~always3(s94)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6622, 41071])).
% 14.98/10.72 tff(41084,plain,
% 14.98/10.72 (~node4(s94)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6918, 36, 41083])).
% 14.98/10.72 tff(41085,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41086,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41087,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s94) | xuntil2p8(s94) | (~until2p7(s94))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41086, 41085])).
% 14.98/10.72 tff(41088,plain,
% 14.98/10.72 (xuntil2p8(s94) | (~until2p7(s94))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41087, 37556, 41084])).
% 14.98/10.72 tff(41089,plain,
% 14.98/10.72 (~until2p7(s94)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41088, 41082])).
% 14.98/10.72 tff(41090,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41091,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41092,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41091, 41090])).
% 14.98/10.72 tff(41093,plain,
% 14.98/10.72 (until2p7(s94) | (~xuntil2p8(s93))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41092, 6564, 37571])).
% 14.98/10.72 tff(41094,plain,
% 14.98/10.72 (~xuntil2p8(s93)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41093, 41089])).
% 14.98/10.72 tff(41095,plain,
% 14.98/10.72 (~always3(s93)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6572, 41083])).
% 14.98/10.72 tff(41096,plain,
% 14.98/10.72 (~node4(s93)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6560, 36, 41095])).
% 14.98/10.72 tff(41097,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41098,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41099,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s93) | xuntil2p8(s93) | (~until2p7(s93))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41098, 41097])).
% 14.98/10.72 tff(41100,plain,
% 14.98/10.72 (xuntil2p8(s93) | (~until2p7(s93))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41099, 37556, 41096])).
% 14.98/10.72 tff(41101,plain,
% 14.98/10.72 (~until2p7(s93)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41100, 41094])).
% 14.98/10.72 tff(41102,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41103,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41104,plain,
% 14.98/10.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41103, 41102])).
% 14.98/10.72 tff(41105,plain,
% 14.98/10.72 (until2p7(s93) | (~xuntil2p8(s92))),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41104, 6508, 37571])).
% 14.98/10.72 tff(41106,plain,
% 14.98/10.72 (~xuntil2p8(s92)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[41105, 41101])).
% 14.98/10.72 tff(41107,plain,
% 14.98/10.72 (~always3(s92)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6516, 41095])).
% 14.98/10.72 tff(41108,plain,
% 14.98/10.72 (~node4(s92)),
% 14.98/10.72 inference(unit_resolution,[status(thm)],[6504, 36, 41107])).
% 14.98/10.72 tff(41109,plain,
% 14.98/10.72 (((~![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)))),
% 14.98/10.72 inference(rewrite,[status(thm)],[])).
% 14.98/10.72 tff(41110,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))),
% 14.98/10.72 inference(quant_inst,[status(thm)],[])).
% 14.98/10.72 tff(41111,plain,
% 14.98/10.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s92) | xuntil2p8(s92) | (~until2p7(s92))),
% 14.98/10.72 inference(modus_ponens,[status(thm)],[41110, 41109])).
% 14.98/10.72 tff(41112,plain,
% 14.98/10.73 (xuntil2p8(s92) | (~until2p7(s92))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41111, 37556, 41108])).
% 14.98/10.73 tff(41113,plain,
% 14.98/10.73 (~until2p7(s92)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41112, 41106])).
% 14.98/10.73 tff(41114,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41115,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41116,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41115, 41114])).
% 14.98/10.73 tff(41117,plain,
% 14.98/10.73 (until2p7(s92) | (~xuntil2p8(s91))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41116, 6304, 37571])).
% 14.98/10.73 tff(41118,plain,
% 14.98/10.73 (~xuntil2p8(s91)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41117, 41113])).
% 14.98/10.73 tff(41119,plain,
% 14.98/10.73 (~always3(s91)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[6312, 41107])).
% 14.98/10.73 tff(41120,plain,
% 14.98/10.73 (~node4(s91)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5804, 36, 41119])).
% 14.98/10.73 tff(41121,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41122,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41123,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s91) | xuntil2p8(s91) | (~until2p7(s91))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41122, 41121])).
% 14.98/10.73 tff(41124,plain,
% 14.98/10.73 (xuntil2p8(s91) | (~until2p7(s91))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41123, 37556, 41120])).
% 14.98/10.73 tff(41125,plain,
% 14.98/10.73 (~until2p7(s91)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41124, 41118])).
% 14.98/10.73 tff(41126,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41127,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41128,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41127, 41126])).
% 14.98/10.73 tff(41129,plain,
% 14.98/10.73 (until2p7(s91) | (~xuntil2p8(s90))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41128, 5692, 37571])).
% 14.98/10.73 tff(41130,plain,
% 14.98/10.73 (~xuntil2p8(s90)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41129, 41125])).
% 14.98/10.73 tff(41131,plain,
% 14.98/10.73 (~always3(s90)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5700, 41119])).
% 14.98/10.73 tff(41132,plain,
% 14.98/10.73 (~node4(s90)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5824, 36, 41131])).
% 14.98/10.73 tff(41133,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41134,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41135,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s90) | xuntil2p8(s90) | (~until2p7(s90))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41134, 41133])).
% 14.98/10.73 tff(41136,plain,
% 14.98/10.73 (xuntil2p8(s90) | (~until2p7(s90))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41135, 37556, 41132])).
% 14.98/10.73 tff(41137,plain,
% 14.98/10.73 (~until2p7(s90)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41136, 41130])).
% 14.98/10.73 tff(41138,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41139,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41140,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41139, 41138])).
% 14.98/10.73 tff(41141,plain,
% 14.98/10.73 (until2p7(s90) | (~xuntil2p8(s89))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41140, 5704, 37571])).
% 14.98/10.73 tff(41142,plain,
% 14.98/10.73 (~xuntil2p8(s89)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41141, 41137])).
% 14.98/10.73 tff(41143,plain,
% 14.98/10.73 (~always3(s89)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5712, 41131])).
% 14.98/10.73 tff(41144,plain,
% 14.98/10.73 (~node4(s89)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5837, 36, 41143])).
% 14.98/10.73 tff(41145,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41146,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41147,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s89) | xuntil2p8(s89) | (~until2p7(s89))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41146, 41145])).
% 14.98/10.73 tff(41148,plain,
% 14.98/10.73 (xuntil2p8(s89) | (~until2p7(s89))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41147, 37556, 41144])).
% 14.98/10.73 tff(41149,plain,
% 14.98/10.73 (~until2p7(s89)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41148, 41142])).
% 14.98/10.73 tff(41150,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41151,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41152,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41151, 41150])).
% 14.98/10.73 tff(41153,plain,
% 14.98/10.73 (until2p7(s89) | (~xuntil2p8(s88))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41152, 5716, 37571])).
% 14.98/10.73 tff(41154,plain,
% 14.98/10.73 (~xuntil2p8(s88)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41153, 41149])).
% 14.98/10.73 tff(41155,plain,
% 14.98/10.73 (~always3(s88)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5724, 41143])).
% 14.98/10.73 tff(41156,plain,
% 14.98/10.73 (~node4(s88)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5928, 36, 41155])).
% 14.98/10.73 tff(41157,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41158,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41159,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s88) | xuntil2p8(s88) | (~until2p7(s88))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41158, 41157])).
% 14.98/10.73 tff(41160,plain,
% 14.98/10.73 (xuntil2p8(s88) | (~until2p7(s88))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41159, 37556, 41156])).
% 14.98/10.73 tff(41161,plain,
% 14.98/10.73 (~until2p7(s88)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41160, 41154])).
% 14.98/10.73 tff(41162,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41163,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41164,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41163, 41162])).
% 14.98/10.73 tff(41165,plain,
% 14.98/10.73 (until2p7(s88) | (~xuntil2p8(s87))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41164, 5728, 37571])).
% 14.98/10.73 tff(41166,plain,
% 14.98/10.73 (~xuntil2p8(s87)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41165, 41161])).
% 14.98/10.73 tff(41167,plain,
% 14.98/10.73 (~always3(s87)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5736, 41155])).
% 14.98/10.73 tff(41168,plain,
% 14.98/10.73 (~node4(s87)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5971, 36, 41167])).
% 14.98/10.73 tff(41169,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41170,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41171,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s87) | xuntil2p8(s87) | (~until2p7(s87))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41170, 41169])).
% 14.98/10.73 tff(41172,plain,
% 14.98/10.73 (xuntil2p8(s87) | (~until2p7(s87))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41171, 37556, 41168])).
% 14.98/10.73 tff(41173,plain,
% 14.98/10.73 (~until2p7(s87)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41172, 41166])).
% 14.98/10.73 tff(41174,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41175,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41176,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41175, 41174])).
% 14.98/10.73 tff(41177,plain,
% 14.98/10.73 (until2p7(s87) | (~xuntil2p8(s86))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41176, 5740, 37571])).
% 14.98/10.73 tff(41178,plain,
% 14.98/10.73 (~xuntil2p8(s86)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41177, 41173])).
% 14.98/10.73 tff(41179,plain,
% 14.98/10.73 (~always3(s86)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5748, 41167])).
% 14.98/10.73 tff(41180,plain,
% 14.98/10.73 (~node4(s86)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5984, 36, 41179])).
% 14.98/10.73 tff(41181,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41182,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41183,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s86) | xuntil2p8(s86) | (~until2p7(s86))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41182, 41181])).
% 14.98/10.73 tff(41184,plain,
% 14.98/10.73 (xuntil2p8(s86) | (~until2p7(s86))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41183, 37556, 41180])).
% 14.98/10.73 tff(41185,plain,
% 14.98/10.73 (~until2p7(s86)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41184, 41178])).
% 14.98/10.73 tff(41186,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41187,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41188,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41187, 41186])).
% 14.98/10.73 tff(41189,plain,
% 14.98/10.73 (until2p7(s86) | (~xuntil2p8(s85))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41188, 5752, 37571])).
% 14.98/10.73 tff(41190,plain,
% 14.98/10.73 (~xuntil2p8(s85)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41189, 41185])).
% 14.98/10.73 tff(41191,plain,
% 14.98/10.73 (~always3(s85)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5760, 41179])).
% 14.98/10.73 tff(41192,plain,
% 14.98/10.73 (~node4(s85)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[6069, 36, 41191])).
% 14.98/10.73 tff(41193,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41194,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41195,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s85) | xuntil2p8(s85) | (~until2p7(s85))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41194, 41193])).
% 14.98/10.73 tff(41196,plain,
% 14.98/10.73 (xuntil2p8(s85) | (~until2p7(s85))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41195, 37556, 41192])).
% 14.98/10.73 tff(41197,plain,
% 14.98/10.73 (~until2p7(s85)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41196, 41190])).
% 14.98/10.73 tff(41198,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41199,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41200,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41199, 41198])).
% 14.98/10.73 tff(41201,plain,
% 14.98/10.73 (until2p7(s85) | (~xuntil2p8(s84))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41200, 5764, 37571])).
% 14.98/10.73 tff(41202,plain,
% 14.98/10.73 (~xuntil2p8(s84)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41201, 41197])).
% 14.98/10.73 tff(41203,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41204,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41205,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s84) | xuntil2p8(s84) | (~until2p7(s84))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41204, 41203])).
% 14.98/10.73 tff(41206,plain,
% 14.98/10.73 (xuntil2p8(s84) | (~until2p7(s84))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41205, 37556, 6138])).
% 14.98/10.73 tff(41207,plain,
% 14.98/10.73 (~until2p7(s84)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41206, 41202])).
% 14.98/10.73 tff(41208,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41209,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41210,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41209, 41208])).
% 14.98/10.73 tff(41211,plain,
% 14.98/10.73 (until2p7(s84) | (~xuntil2p8(s83))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41210, 5776, 37571])).
% 14.98/10.73 tff(41212,plain,
% 14.98/10.73 (~xuntil2p8(s83)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41211, 41207])).
% 14.98/10.73 tff(41213,plain,
% 14.98/10.73 (~always3(s84)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5772, 41191])).
% 14.98/10.73 tff(41214,plain,
% 14.98/10.73 (~always3(s83)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5784, 41213])).
% 14.98/10.73 tff(41215,plain,
% 14.98/10.73 (~node4(s83)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[6159, 36, 41214])).
% 14.98/10.73 tff(41216,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41217,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41218,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s83) | xuntil2p8(s83) | (~until2p7(s83))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41217, 41216])).
% 14.98/10.73 tff(41219,plain,
% 14.98/10.73 (xuntil2p8(s83) | (~until2p7(s83))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41218, 37556, 41215])).
% 14.98/10.73 tff(41220,plain,
% 14.98/10.73 (~until2p7(s83)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41219, 41212])).
% 14.98/10.73 tff(41221,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41222,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41223,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41222, 41221])).
% 14.98/10.73 tff(41224,plain,
% 14.98/10.73 (until2p7(s83) | (~xuntil2p8(s82))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41223, 5788, 37571])).
% 14.98/10.73 tff(41225,plain,
% 14.98/10.73 (~xuntil2p8(s82)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41224, 41220])).
% 14.98/10.73 tff(41226,plain,
% 14.98/10.73 (~always3(s82)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5796, 41214])).
% 14.98/10.73 tff(41227,plain,
% 14.98/10.73 (~node4(s82)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5800, 36, 41226])).
% 14.98/10.73 tff(41228,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41229,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41230,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s82) | xuntil2p8(s82) | (~until2p7(s82))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41229, 41228])).
% 14.98/10.73 tff(41231,plain,
% 14.98/10.73 (xuntil2p8(s82) | (~until2p7(s82))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41230, 37556, 41227])).
% 14.98/10.73 tff(41232,plain,
% 14.98/10.73 (~until2p7(s82)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41231, 41225])).
% 14.98/10.73 tff(41233,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41234,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41235,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41234, 41233])).
% 14.98/10.73 tff(41236,plain,
% 14.98/10.73 (until2p7(s82) | (~xuntil2p8(s81))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41235, 6206, 37571])).
% 14.98/10.73 tff(41237,plain,
% 14.98/10.73 (~xuntil2p8(s81)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41236, 41232])).
% 14.98/10.73 tff(41238,plain,
% 14.98/10.73 (~always3(s81)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[6219, 41226])).
% 14.98/10.73 tff(41239,plain,
% 14.98/10.73 (~node4(s81)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[6223, 36, 41238])).
% 14.98/10.73 tff(41240,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41241,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41242,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s81) | xuntil2p8(s81) | (~until2p7(s81))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41241, 41240])).
% 14.98/10.73 tff(41243,plain,
% 14.98/10.73 (xuntil2p8(s81) | (~until2p7(s81))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41242, 37556, 41239])).
% 14.98/10.73 tff(41244,plain,
% 14.98/10.73 (~until2p7(s81)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41243, 41237])).
% 14.98/10.73 tff(41245,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41246,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41247,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41246, 41245])).
% 14.98/10.73 tff(41248,plain,
% 14.98/10.73 (until2p7(s81) | (~xuntil2p8(s80))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41247, 5619, 37571])).
% 14.98/10.73 tff(41249,plain,
% 14.98/10.73 (~xuntil2p8(s80)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41248, 41244])).
% 14.98/10.73 tff(41250,plain,
% 14.98/10.73 (~always3(s80)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5627, 41238])).
% 14.98/10.73 tff(41251,plain,
% 14.98/10.73 (~node4(s80)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5615, 36, 41250])).
% 14.98/10.73 tff(41252,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41253,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41254,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s80) | xuntil2p8(s80) | (~until2p7(s80))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41253, 41252])).
% 14.98/10.73 tff(41255,plain,
% 14.98/10.73 (xuntil2p8(s80) | (~until2p7(s80))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41254, 37556, 41251])).
% 14.98/10.73 tff(41256,plain,
% 14.98/10.73 (~until2p7(s80)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41255, 41249])).
% 14.98/10.73 tff(41257,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41258,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41259,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41258, 41257])).
% 14.98/10.73 tff(41260,plain,
% 14.98/10.73 (until2p7(s80) | (~xuntil2p8(s79))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41259, 5563, 37571])).
% 14.98/10.73 tff(41261,plain,
% 14.98/10.73 (~xuntil2p8(s79)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41260, 41256])).
% 14.98/10.73 tff(41262,plain,
% 14.98/10.73 (~always3(s79)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5571, 41250])).
% 14.98/10.73 tff(41263,plain,
% 14.98/10.73 (~node4(s79)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5559, 36, 41262])).
% 14.98/10.73 tff(41264,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41265,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41266,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s79) | xuntil2p8(s79) | (~until2p7(s79))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41265, 41264])).
% 14.98/10.73 tff(41267,plain,
% 14.98/10.73 (xuntil2p8(s79) | (~until2p7(s79))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41266, 37556, 41263])).
% 14.98/10.73 tff(41268,plain,
% 14.98/10.73 (~until2p7(s79)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41267, 41261])).
% 14.98/10.73 tff(41269,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41270,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41271,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41270, 41269])).
% 14.98/10.73 tff(41272,plain,
% 14.98/10.73 (until2p7(s79) | (~xuntil2p8(s78))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41271, 5507, 37571])).
% 14.98/10.73 tff(41273,plain,
% 14.98/10.73 (~xuntil2p8(s78)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41272, 41268])).
% 14.98/10.73 tff(41274,plain,
% 14.98/10.73 (~always3(s78)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5515, 41262])).
% 14.98/10.73 tff(41275,plain,
% 14.98/10.73 (~node4(s78)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5503, 36, 41274])).
% 14.98/10.73 tff(41276,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41277,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41278,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s78) | xuntil2p8(s78) | (~until2p7(s78))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41277, 41276])).
% 14.98/10.73 tff(41279,plain,
% 14.98/10.73 (xuntil2p8(s78) | (~until2p7(s78))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41278, 37556, 41275])).
% 14.98/10.73 tff(41280,plain,
% 14.98/10.73 (~until2p7(s78)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41279, 41273])).
% 14.98/10.73 tff(41281,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41282,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41283,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41282, 41281])).
% 14.98/10.73 tff(41284,plain,
% 14.98/10.73 (until2p7(s78) | (~xuntil2p8(s77))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41283, 5451, 37571])).
% 14.98/10.73 tff(41285,plain,
% 14.98/10.73 (~xuntil2p8(s77)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41284, 41280])).
% 14.98/10.73 tff(41286,plain,
% 14.98/10.73 (~always3(s77)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5459, 41274])).
% 14.98/10.73 tff(41287,plain,
% 14.98/10.73 (~node4(s77)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5447, 36, 41286])).
% 14.98/10.73 tff(41288,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41289,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41290,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s77) | xuntil2p8(s77) | (~until2p7(s77))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41289, 41288])).
% 14.98/10.73 tff(41291,plain,
% 14.98/10.73 (xuntil2p8(s77) | (~until2p7(s77))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41290, 37556, 41287])).
% 14.98/10.73 tff(41292,plain,
% 14.98/10.73 (~until2p7(s77)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41291, 41285])).
% 14.98/10.73 tff(41293,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41294,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41295,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41294, 41293])).
% 14.98/10.73 tff(41296,plain,
% 14.98/10.73 (until2p7(s77) | (~xuntil2p8(s76))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41295, 5395, 37571])).
% 14.98/10.73 tff(41297,plain,
% 14.98/10.73 (~xuntil2p8(s76)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41296, 41292])).
% 14.98/10.73 tff(41298,plain,
% 14.98/10.73 (~always3(s76)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5403, 41286])).
% 14.98/10.73 tff(41299,plain,
% 14.98/10.73 (~node4(s76)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5391, 36, 41298])).
% 14.98/10.73 tff(41300,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41301,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41302,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s76) | xuntil2p8(s76) | (~until2p7(s76))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41301, 41300])).
% 14.98/10.73 tff(41303,plain,
% 14.98/10.73 (xuntil2p8(s76) | (~until2p7(s76))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41302, 37556, 41299])).
% 14.98/10.73 tff(41304,plain,
% 14.98/10.73 (~until2p7(s76)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41303, 41297])).
% 14.98/10.73 tff(41305,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41306,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41307,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41306, 41305])).
% 14.98/10.73 tff(41308,plain,
% 14.98/10.73 (until2p7(s76) | (~xuntil2p8(s75))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41307, 5339, 37571])).
% 14.98/10.73 tff(41309,plain,
% 14.98/10.73 (~xuntil2p8(s75)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41308, 41304])).
% 14.98/10.73 tff(41310,plain,
% 14.98/10.73 (~always3(s75)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5347, 41298])).
% 14.98/10.73 tff(41311,plain,
% 14.98/10.73 (~node4(s75)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5335, 36, 41310])).
% 14.98/10.73 tff(41312,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41313,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41314,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s75) | xuntil2p8(s75) | (~until2p7(s75))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41313, 41312])).
% 14.98/10.73 tff(41315,plain,
% 14.98/10.73 (xuntil2p8(s75) | (~until2p7(s75))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41314, 37556, 41311])).
% 14.98/10.73 tff(41316,plain,
% 14.98/10.73 (~until2p7(s75)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41315, 41309])).
% 14.98/10.73 tff(41317,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41318,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41319,plain,
% 14.98/10.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41318, 41317])).
% 14.98/10.73 tff(41320,plain,
% 14.98/10.73 (until2p7(s75) | (~xuntil2p8(s74))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41319, 5283, 37571])).
% 14.98/10.73 tff(41321,plain,
% 14.98/10.73 (~xuntil2p8(s74)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41320, 41316])).
% 14.98/10.73 tff(41322,plain,
% 14.98/10.73 (~always3(s74)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5291, 41310])).
% 14.98/10.73 tff(41323,plain,
% 14.98/10.73 (~node4(s74)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[5279, 36, 41322])).
% 14.98/10.73 tff(41324,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.73 inference(rewrite,[status(thm)],[])).
% 14.98/10.73 tff(41325,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))),
% 14.98/10.73 inference(quant_inst,[status(thm)],[])).
% 14.98/10.73 tff(41326,plain,
% 14.98/10.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s74) | xuntil2p8(s74) | (~until2p7(s74))),
% 14.98/10.73 inference(modus_ponens,[status(thm)],[41325, 41324])).
% 14.98/10.73 tff(41327,plain,
% 14.98/10.73 (xuntil2p8(s74) | (~until2p7(s74))),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41326, 37556, 41323])).
% 14.98/10.73 tff(41328,plain,
% 14.98/10.73 (~until2p7(s74)),
% 14.98/10.73 inference(unit_resolution,[status(thm)],[41327, 41321])).
% 14.98/10.73 tff(41329,plain,
% 14.98/10.73 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41330,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41331,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41330, 41329])).
% 14.98/10.74 tff(41332,plain,
% 14.98/10.74 (until2p7(s74) | (~xuntil2p8(s73))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41331, 5227, 37571])).
% 14.98/10.74 tff(41333,plain,
% 14.98/10.74 (~xuntil2p8(s73)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41332, 41328])).
% 14.98/10.74 tff(41334,plain,
% 14.98/10.74 (~always3(s73)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5235, 41322])).
% 14.98/10.74 tff(41335,plain,
% 14.98/10.74 (~node4(s73)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5223, 36, 41334])).
% 14.98/10.74 tff(41336,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41337,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41338,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s73) | xuntil2p8(s73) | (~until2p7(s73))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41337, 41336])).
% 14.98/10.74 tff(41339,plain,
% 14.98/10.74 (xuntil2p8(s73) | (~until2p7(s73))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41338, 37556, 41335])).
% 14.98/10.74 tff(41340,plain,
% 14.98/10.74 (~until2p7(s73)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41339, 41333])).
% 14.98/10.74 tff(41341,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41342,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41343,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41342, 41341])).
% 14.98/10.74 tff(41344,plain,
% 14.98/10.74 (until2p7(s73) | (~xuntil2p8(s72))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41343, 5171, 37571])).
% 14.98/10.74 tff(41345,plain,
% 14.98/10.74 (~xuntil2p8(s72)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41344, 41340])).
% 14.98/10.74 tff(41346,plain,
% 14.98/10.74 (~always3(s72)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5179, 41334])).
% 14.98/10.74 tff(41347,plain,
% 14.98/10.74 (~node4(s72)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5167, 36, 41346])).
% 14.98/10.74 tff(41348,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41349,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41350,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s72) | xuntil2p8(s72) | (~until2p7(s72))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41349, 41348])).
% 14.98/10.74 tff(41351,plain,
% 14.98/10.74 (xuntil2p8(s72) | (~until2p7(s72))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41350, 37556, 41347])).
% 14.98/10.74 tff(41352,plain,
% 14.98/10.74 (~until2p7(s72)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41351, 41345])).
% 14.98/10.74 tff(41353,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41354,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41355,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41354, 41353])).
% 14.98/10.74 tff(41356,plain,
% 14.98/10.74 (until2p7(s72) | (~xuntil2p8(s71))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41355, 5115, 37571])).
% 14.98/10.74 tff(41357,plain,
% 14.98/10.74 (~xuntil2p8(s71)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41356, 41352])).
% 14.98/10.74 tff(41358,plain,
% 14.98/10.74 (~always3(s71)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5123, 41346])).
% 14.98/10.74 tff(41359,plain,
% 14.98/10.74 (~node4(s71)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5111, 36, 41358])).
% 14.98/10.74 tff(41360,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41361,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41362,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s71) | xuntil2p8(s71) | (~until2p7(s71))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41361, 41360])).
% 14.98/10.74 tff(41363,plain,
% 14.98/10.74 (xuntil2p8(s71) | (~until2p7(s71))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41362, 37556, 41359])).
% 14.98/10.74 tff(41364,plain,
% 14.98/10.74 (~until2p7(s71)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41363, 41357])).
% 14.98/10.74 tff(41365,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41366,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41367,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41366, 41365])).
% 14.98/10.74 tff(41368,plain,
% 14.98/10.74 (until2p7(s71) | (~xuntil2p8(s70))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41367, 5059, 37571])).
% 14.98/10.74 tff(41369,plain,
% 14.98/10.74 (~xuntil2p8(s70)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41368, 41364])).
% 14.98/10.74 tff(41370,plain,
% 14.98/10.74 (~always3(s70)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5067, 41358])).
% 14.98/10.74 tff(41371,plain,
% 14.98/10.74 (~node4(s70)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5055, 36, 41370])).
% 14.98/10.74 tff(41372,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41373,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41374,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s70) | xuntil2p8(s70) | (~until2p7(s70))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41373, 41372])).
% 14.98/10.74 tff(41375,plain,
% 14.98/10.74 (xuntil2p8(s70) | (~until2p7(s70))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41374, 37556, 41371])).
% 14.98/10.74 tff(41376,plain,
% 14.98/10.74 (~until2p7(s70)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41375, 41369])).
% 14.98/10.74 tff(41377,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41378,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41379,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41378, 41377])).
% 14.98/10.74 tff(41380,plain,
% 14.98/10.74 (until2p7(s70) | (~xuntil2p8(s69))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41379, 5003, 37571])).
% 14.98/10.74 tff(41381,plain,
% 14.98/10.74 (~xuntil2p8(s69)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41380, 41376])).
% 14.98/10.74 tff(41382,plain,
% 14.98/10.74 (~always3(s69)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[5011, 41370])).
% 14.98/10.74 tff(41383,plain,
% 14.98/10.74 (~node4(s69)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4999, 36, 41382])).
% 14.98/10.74 tff(41384,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41385,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41386,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s69) | xuntil2p8(s69) | (~until2p7(s69))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41385, 41384])).
% 14.98/10.74 tff(41387,plain,
% 14.98/10.74 (xuntil2p8(s69) | (~until2p7(s69))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41386, 37556, 41383])).
% 14.98/10.74 tff(41388,plain,
% 14.98/10.74 (~until2p7(s69)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41387, 41381])).
% 14.98/10.74 tff(41389,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41390,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41391,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41390, 41389])).
% 14.98/10.74 tff(41392,plain,
% 14.98/10.74 (until2p7(s69) | (~xuntil2p8(s68))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41391, 4947, 37571])).
% 14.98/10.74 tff(41393,plain,
% 14.98/10.74 (~xuntil2p8(s68)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41392, 41388])).
% 14.98/10.74 tff(41394,plain,
% 14.98/10.74 (~always3(s68)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4955, 41382])).
% 14.98/10.74 tff(41395,plain,
% 14.98/10.74 (~node4(s68)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4943, 36, 41394])).
% 14.98/10.74 tff(41396,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41397,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41398,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s68) | xuntil2p8(s68) | (~until2p7(s68))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41397, 41396])).
% 14.98/10.74 tff(41399,plain,
% 14.98/10.74 (xuntil2p8(s68) | (~until2p7(s68))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41398, 37556, 41395])).
% 14.98/10.74 tff(41400,plain,
% 14.98/10.74 (~until2p7(s68)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41399, 41393])).
% 14.98/10.74 tff(41401,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41402,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41403,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41402, 41401])).
% 14.98/10.74 tff(41404,plain,
% 14.98/10.74 (until2p7(s68) | (~xuntil2p8(s67))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41403, 4891, 37571])).
% 14.98/10.74 tff(41405,plain,
% 14.98/10.74 (~xuntil2p8(s67)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41404, 41400])).
% 14.98/10.74 tff(41406,plain,
% 14.98/10.74 (~always3(s67)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4899, 41394])).
% 14.98/10.74 tff(41407,plain,
% 14.98/10.74 (~node4(s67)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4887, 36, 41406])).
% 14.98/10.74 tff(41408,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41409,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41410,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s67) | xuntil2p8(s67) | (~until2p7(s67))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41409, 41408])).
% 14.98/10.74 tff(41411,plain,
% 14.98/10.74 (xuntil2p8(s67) | (~until2p7(s67))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41410, 37556, 41407])).
% 14.98/10.74 tff(41412,plain,
% 14.98/10.74 (~until2p7(s67)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41411, 41405])).
% 14.98/10.74 tff(41413,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41414,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41415,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41414, 41413])).
% 14.98/10.74 tff(41416,plain,
% 14.98/10.74 (until2p7(s67) | (~xuntil2p8(s66))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41415, 4827, 37571])).
% 14.98/10.74 tff(41417,plain,
% 14.98/10.74 (~xuntil2p8(s66)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41416, 41412])).
% 14.98/10.74 tff(41418,plain,
% 14.98/10.74 (~always3(s66)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4835, 41406])).
% 14.98/10.74 tff(41419,plain,
% 14.98/10.74 (~node4(s66)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4805, 36, 41418])).
% 14.98/10.74 tff(41420,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41421,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41422,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s66) | xuntil2p8(s66) | (~until2p7(s66))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41421, 41420])).
% 14.98/10.74 tff(41423,plain,
% 14.98/10.74 (xuntil2p8(s66) | (~until2p7(s66))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41422, 37556, 41419])).
% 14.98/10.74 tff(41424,plain,
% 14.98/10.74 (~until2p7(s66)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41423, 41417])).
% 14.98/10.74 tff(41425,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41426,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41427,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41426, 41425])).
% 14.98/10.74 tff(41428,plain,
% 14.98/10.74 (until2p7(s66) | (~xuntil2p8(s65))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41427, 55, 37571])).
% 14.98/10.74 tff(41429,plain,
% 14.98/10.74 (~xuntil2p8(s65)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41428, 41424])).
% 14.98/10.74 tff(41430,plain,
% 14.98/10.74 (~always3(s65)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[129, 41418])).
% 14.98/10.74 tff(41431,plain,
% 14.98/10.74 (~node4(s65)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[39, 36, 41430])).
% 14.98/10.74 tff(41432,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41433,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41434,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s65) | xuntil2p8(s65) | (~until2p7(s65))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41433, 41432])).
% 14.98/10.74 tff(41435,plain,
% 14.98/10.74 (xuntil2p8(s65) | (~until2p7(s65))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41434, 37556, 41431])).
% 14.98/10.74 tff(41436,plain,
% 14.98/10.74 (~until2p7(s65)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41435, 41429])).
% 14.98/10.74 tff(41437,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41438,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41439,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41438, 41437])).
% 14.98/10.74 tff(41440,plain,
% 14.98/10.74 (until2p7(s65) | (~xuntil2p8(s64))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41439, 4713, 37571])).
% 14.98/10.74 tff(41441,plain,
% 14.98/10.74 (~xuntil2p8(s64)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41440, 41436])).
% 14.98/10.74 tff(41442,plain,
% 14.98/10.74 (~always3(s64)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4721, 41430])).
% 14.98/10.74 tff(41443,plain,
% 14.98/10.74 (~node4(s64)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4536, 36, 41442])).
% 14.98/10.74 tff(41444,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41445,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41446,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s64) | xuntil2p8(s64) | (~until2p7(s64))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41445, 41444])).
% 14.98/10.74 tff(41447,plain,
% 14.98/10.74 (xuntil2p8(s64) | (~until2p7(s64))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41446, 37556, 41443])).
% 14.98/10.74 tff(41448,plain,
% 14.98/10.74 (~until2p7(s64)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41447, 41441])).
% 14.98/10.74 tff(41449,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41450,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41451,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41450, 41449])).
% 14.98/10.74 tff(41452,plain,
% 14.98/10.74 (until2p7(s64) | (~xuntil2p8(s63))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41451, 4520, 37571])).
% 14.98/10.74 tff(41453,plain,
% 14.98/10.74 (~xuntil2p8(s63)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41452, 41448])).
% 14.98/10.74 tff(41454,plain,
% 14.98/10.74 (~always3(s63)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4528, 41442])).
% 14.98/10.74 tff(41455,plain,
% 14.98/10.74 (~node4(s63)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4532, 36, 41454])).
% 14.98/10.74 tff(41456,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41457,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41458,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s63) | xuntil2p8(s63) | (~until2p7(s63))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41457, 41456])).
% 14.98/10.74 tff(41459,plain,
% 14.98/10.74 (xuntil2p8(s63) | (~until2p7(s63))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41458, 37556, 41455])).
% 14.98/10.74 tff(41460,plain,
% 14.98/10.74 (~until2p7(s63)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41459, 41453])).
% 14.98/10.74 tff(41461,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41462,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41463,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41462, 41461])).
% 14.98/10.74 tff(41464,plain,
% 14.98/10.74 (until2p7(s63) | (~xuntil2p8(s62))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41463, 4057, 37571])).
% 14.98/10.74 tff(41465,plain,
% 14.98/10.74 (~xuntil2p8(s62)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41464, 41460])).
% 14.98/10.74 tff(41466,plain,
% 14.98/10.74 (~always3(s62)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[4065, 41454])).
% 14.98/10.74 tff(41467,plain,
% 14.98/10.74 (~node4(s62)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3937, 36, 41466])).
% 14.98/10.74 tff(41468,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41469,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41470,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s62) | xuntil2p8(s62) | (~until2p7(s62))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41469, 41468])).
% 14.98/10.74 tff(41471,plain,
% 14.98/10.74 (xuntil2p8(s62) | (~until2p7(s62))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41470, 37556, 41467])).
% 14.98/10.74 tff(41472,plain,
% 14.98/10.74 (~until2p7(s62)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41471, 41465])).
% 14.98/10.74 tff(41473,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41474,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41475,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41474, 41473])).
% 14.98/10.74 tff(41476,plain,
% 14.98/10.74 (until2p7(s62) | (~xuntil2p8(s61))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41475, 3921, 37571])).
% 14.98/10.74 tff(41477,plain,
% 14.98/10.74 (~xuntil2p8(s61)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41476, 41472])).
% 14.98/10.74 tff(41478,plain,
% 14.98/10.74 (~always3(s61)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3929, 41466])).
% 14.98/10.74 tff(41479,plain,
% 14.98/10.74 (~node4(s61)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3933, 36, 41478])).
% 14.98/10.74 tff(41480,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41481,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41482,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s61) | xuntil2p8(s61) | (~until2p7(s61))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41481, 41480])).
% 14.98/10.74 tff(41483,plain,
% 14.98/10.74 (xuntil2p8(s61) | (~until2p7(s61))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41482, 37556, 41479])).
% 14.98/10.74 tff(41484,plain,
% 14.98/10.74 (~until2p7(s61)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41483, 41477])).
% 14.98/10.74 tff(41485,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41486,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41487,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41486, 41485])).
% 14.98/10.74 tff(41488,plain,
% 14.98/10.74 (until2p7(s61) | (~xuntil2p8(s60))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41487, 3961, 37571])).
% 14.98/10.74 tff(41489,plain,
% 14.98/10.74 (~xuntil2p8(s60)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41488, 41484])).
% 14.98/10.74 tff(41490,plain,
% 14.98/10.74 (~always3(s60)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3969, 41478])).
% 14.98/10.74 tff(41491,plain,
% 14.98/10.74 (~node4(s60)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3973, 36, 41490])).
% 14.98/10.74 tff(41492,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41493,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41494,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s60) | xuntil2p8(s60) | (~until2p7(s60))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41493, 41492])).
% 14.98/10.74 tff(41495,plain,
% 14.98/10.74 (xuntil2p8(s60) | (~until2p7(s60))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41494, 37556, 41491])).
% 14.98/10.74 tff(41496,plain,
% 14.98/10.74 (~until2p7(s60)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41495, 41489])).
% 14.98/10.74 tff(41497,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41498,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41499,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41498, 41497])).
% 14.98/10.74 tff(41500,plain,
% 14.98/10.74 (until2p7(s60) | (~xuntil2p8(s59))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41499, 3977, 37571])).
% 14.98/10.74 tff(41501,plain,
% 14.98/10.74 (~xuntil2p8(s59)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41500, 41496])).
% 14.98/10.74 tff(41502,plain,
% 14.98/10.74 (~always3(s59)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3985, 41490])).
% 14.98/10.74 tff(41503,plain,
% 14.98/10.74 (~node4(s59)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3989, 36, 41502])).
% 14.98/10.74 tff(41504,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41505,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41506,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s59) | xuntil2p8(s59) | (~until2p7(s59))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41505, 41504])).
% 14.98/10.74 tff(41507,plain,
% 14.98/10.74 (xuntil2p8(s59) | (~until2p7(s59))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41506, 37556, 41503])).
% 14.98/10.74 tff(41508,plain,
% 14.98/10.74 (~until2p7(s59)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41507, 41501])).
% 14.98/10.74 tff(41509,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41510,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41511,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41510, 41509])).
% 14.98/10.74 tff(41512,plain,
% 14.98/10.74 (until2p7(s59) | (~xuntil2p8(s58))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41511, 3727, 37571])).
% 14.98/10.74 tff(41513,plain,
% 14.98/10.74 (~xuntil2p8(s58)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41512, 41508])).
% 14.98/10.74 tff(41514,plain,
% 14.98/10.74 (~always3(s58)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3735, 41502])).
% 14.98/10.74 tff(41515,plain,
% 14.98/10.74 (~node4(s58)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3874, 36, 41514])).
% 14.98/10.74 tff(41516,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41517,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41518,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s58) | xuntil2p8(s58) | (~until2p7(s58))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41517, 41516])).
% 14.98/10.74 tff(41519,plain,
% 14.98/10.74 (xuntil2p8(s58) | (~until2p7(s58))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41518, 37556, 41515])).
% 14.98/10.74 tff(41520,plain,
% 14.98/10.74 (~until2p7(s58)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41519, 41513])).
% 14.98/10.74 tff(41521,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41522,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41523,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41522, 41521])).
% 14.98/10.74 tff(41524,plain,
% 14.98/10.74 (until2p7(s58) | (~xuntil2p8(s57))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41523, 3739, 37571])).
% 14.98/10.74 tff(41525,plain,
% 14.98/10.74 (~xuntil2p8(s57)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41524, 41520])).
% 14.98/10.74 tff(41526,plain,
% 14.98/10.74 (~always3(s57)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3747, 41514])).
% 14.98/10.74 tff(41527,plain,
% 14.98/10.74 (~node4(s57)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3852, 36, 41526])).
% 14.98/10.74 tff(41528,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41529,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41530,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s57) | xuntil2p8(s57) | (~until2p7(s57))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41529, 41528])).
% 14.98/10.74 tff(41531,plain,
% 14.98/10.74 (xuntil2p8(s57) | (~until2p7(s57))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41530, 37556, 41527])).
% 14.98/10.74 tff(41532,plain,
% 14.98/10.74 (~until2p7(s57)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41531, 41525])).
% 14.98/10.74 tff(41533,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41534,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41535,plain,
% 14.98/10.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41534, 41533])).
% 14.98/10.74 tff(41536,plain,
% 14.98/10.74 (until2p7(s57) | (~xuntil2p8(s56))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41535, 3751, 37571])).
% 14.98/10.74 tff(41537,plain,
% 14.98/10.74 (~xuntil2p8(s56)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41536, 41532])).
% 14.98/10.74 tff(41538,plain,
% 14.98/10.74 (~always3(s56)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3759, 41526])).
% 14.98/10.74 tff(41539,plain,
% 14.98/10.74 (~node4(s56)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[3835, 36, 41538])).
% 14.98/10.74 tff(41540,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.74 inference(rewrite,[status(thm)],[])).
% 14.98/10.74 tff(41541,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))),
% 14.98/10.74 inference(quant_inst,[status(thm)],[])).
% 14.98/10.74 tff(41542,plain,
% 14.98/10.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s56) | xuntil2p8(s56) | (~until2p7(s56))),
% 14.98/10.74 inference(modus_ponens,[status(thm)],[41541, 41540])).
% 14.98/10.74 tff(41543,plain,
% 14.98/10.74 (xuntil2p8(s56) | (~until2p7(s56))),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41542, 37556, 41539])).
% 14.98/10.74 tff(41544,plain,
% 14.98/10.74 (~until2p7(s56)),
% 14.98/10.74 inference(unit_resolution,[status(thm)],[41543, 41537])).
% 14.98/10.74 tff(41545,plain,
% 14.98/10.74 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41546,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41547,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41546, 41545])).
% 14.98/10.75 tff(41548,plain,
% 14.98/10.75 (until2p7(s56) | (~xuntil2p8(s55))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41547, 3678, 37571])).
% 14.98/10.75 tff(41549,plain,
% 14.98/10.75 (~xuntil2p8(s55)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41548, 41544])).
% 14.98/10.75 tff(41550,plain,
% 14.98/10.75 (~always3(s55)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3686, 41538])).
% 14.98/10.75 tff(41551,plain,
% 14.98/10.75 (~node4(s55)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3674, 36, 41550])).
% 14.98/10.75 tff(41552,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41553,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41554,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s55) | xuntil2p8(s55) | (~until2p7(s55))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41553, 41552])).
% 14.98/10.75 tff(41555,plain,
% 14.98/10.75 (xuntil2p8(s55) | (~until2p7(s55))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41554, 37556, 41551])).
% 14.98/10.75 tff(41556,plain,
% 14.98/10.75 (~until2p7(s55)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41555, 41549])).
% 14.98/10.75 tff(41557,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41558,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41559,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41558, 41557])).
% 14.98/10.75 tff(41560,plain,
% 14.98/10.75 (until2p7(s55) | (~xuntil2p8(s54))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41559, 3622, 37571])).
% 14.98/10.75 tff(41561,plain,
% 14.98/10.75 (~xuntil2p8(s54)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41560, 41556])).
% 14.98/10.75 tff(41562,plain,
% 14.98/10.75 (~always3(s54)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3630, 41550])).
% 14.98/10.75 tff(41563,plain,
% 14.98/10.75 (~node4(s54)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3618, 36, 41562])).
% 14.98/10.75 tff(41564,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41565,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41566,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s54) | xuntil2p8(s54) | (~until2p7(s54))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41565, 41564])).
% 14.98/10.75 tff(41567,plain,
% 14.98/10.75 (xuntil2p8(s54) | (~until2p7(s54))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41566, 37556, 41563])).
% 14.98/10.75 tff(41568,plain,
% 14.98/10.75 (~until2p7(s54)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41567, 41561])).
% 14.98/10.75 tff(41569,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41570,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41571,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41570, 41569])).
% 14.98/10.75 tff(41572,plain,
% 14.98/10.75 (until2p7(s54) | (~xuntil2p8(s53))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41571, 3522, 37571])).
% 14.98/10.75 tff(41573,plain,
% 14.98/10.75 (~xuntil2p8(s53)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41572, 41568])).
% 14.98/10.75 tff(41574,plain,
% 14.98/10.75 (~always3(s53)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3530, 41562])).
% 14.98/10.75 tff(41575,plain,
% 14.98/10.75 (~node4(s53)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3518, 36, 41574])).
% 14.98/10.75 tff(41576,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41577,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41578,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s53) | xuntil2p8(s53) | (~until2p7(s53))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41577, 41576])).
% 14.98/10.75 tff(41579,plain,
% 14.98/10.75 (xuntil2p8(s53) | (~until2p7(s53))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41578, 37556, 41575])).
% 14.98/10.75 tff(41580,plain,
% 14.98/10.75 (~until2p7(s53)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41579, 41573])).
% 14.98/10.75 tff(41581,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41582,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41583,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41582, 41581])).
% 14.98/10.75 tff(41584,plain,
% 14.98/10.75 (until2p7(s53) | (~xuntil2p8(s52))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41583, 3466, 37571])).
% 14.98/10.75 tff(41585,plain,
% 14.98/10.75 (~xuntil2p8(s52)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41584, 41580])).
% 14.98/10.75 tff(41586,plain,
% 14.98/10.75 (~always3(s52)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3474, 41574])).
% 14.98/10.75 tff(41587,plain,
% 14.98/10.75 (~node4(s52)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3462, 36, 41586])).
% 14.98/10.75 tff(41588,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41589,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41590,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s52) | xuntil2p8(s52) | (~until2p7(s52))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41589, 41588])).
% 14.98/10.75 tff(41591,plain,
% 14.98/10.75 (xuntil2p8(s52) | (~until2p7(s52))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41590, 37556, 41587])).
% 14.98/10.75 tff(41592,plain,
% 14.98/10.75 (~until2p7(s52)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41591, 41585])).
% 14.98/10.75 tff(41593,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41594,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41595,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41594, 41593])).
% 14.98/10.75 tff(41596,plain,
% 14.98/10.75 (until2p7(s52) | (~xuntil2p8(s51))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41595, 3224, 37571])).
% 14.98/10.75 tff(41597,plain,
% 14.98/10.75 (~xuntil2p8(s51)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41596, 41592])).
% 14.98/10.75 tff(41598,plain,
% 14.98/10.75 (~always3(s51)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3232, 41586])).
% 14.98/10.75 tff(41599,plain,
% 14.98/10.75 (~node4(s51)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3056, 36, 41598])).
% 14.98/10.75 tff(41600,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41601,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41602,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s51) | xuntil2p8(s51) | (~until2p7(s51))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41601, 41600])).
% 14.98/10.75 tff(41603,plain,
% 14.98/10.75 (xuntil2p8(s51) | (~until2p7(s51))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41602, 37556, 41599])).
% 14.98/10.75 tff(41604,plain,
% 14.98/10.75 (~until2p7(s51)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41603, 41597])).
% 14.98/10.75 tff(41605,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41606,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41607,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41606, 41605])).
% 14.98/10.75 tff(41608,plain,
% 14.98/10.75 (until2p7(s51) | (~xuntil2p8(s50))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41607, 3040, 37571])).
% 14.98/10.75 tff(41609,plain,
% 14.98/10.75 (~xuntil2p8(s50)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41608, 41604])).
% 14.98/10.75 tff(41610,plain,
% 14.98/10.75 (~always3(s50)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3048, 41598])).
% 14.98/10.75 tff(41611,plain,
% 14.98/10.75 (~node4(s50)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3052, 36, 41610])).
% 14.98/10.75 tff(41612,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41613,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41614,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s50) | xuntil2p8(s50) | (~until2p7(s50))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41613, 41612])).
% 14.98/10.75 tff(41615,plain,
% 14.98/10.75 (xuntil2p8(s50) | (~until2p7(s50))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41614, 37556, 41611])).
% 14.98/10.75 tff(41616,plain,
% 14.98/10.75 (~until2p7(s50)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41615, 41609])).
% 14.98/10.75 tff(41617,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41618,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41619,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41618, 41617])).
% 14.98/10.75 tff(41620,plain,
% 14.98/10.75 (until2p7(s50) | (~xuntil2p8(s49))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41619, 3080, 37571])).
% 14.98/10.75 tff(41621,plain,
% 14.98/10.75 (~xuntil2p8(s49)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41620, 41616])).
% 14.98/10.75 tff(41622,plain,
% 14.98/10.75 (~always3(s49)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3093, 41610])).
% 14.98/10.75 tff(41623,plain,
% 14.98/10.75 (~node4(s49)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3097, 36, 41622])).
% 14.98/10.75 tff(41624,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41625,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41626,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41625, 41624])).
% 14.98/10.75 tff(41627,plain,
% 14.98/10.75 (xuntil2p8(s49) | (~until2p7(s49))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41626, 37556, 41623])).
% 14.98/10.75 tff(41628,plain,
% 14.98/10.75 (~until2p7(s49)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41627, 41621])).
% 14.98/10.75 tff(41629,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41630,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41631,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41630, 41629])).
% 14.98/10.75 tff(41632,plain,
% 14.98/10.75 (until2p7(s49) | (~xuntil2p8(s48))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41631, 3109, 37571])).
% 14.98/10.75 tff(41633,plain,
% 14.98/10.75 (~xuntil2p8(s48)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41632, 41628])).
% 14.98/10.75 tff(41634,plain,
% 14.98/10.75 (~always3(s48)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3122, 41622])).
% 14.98/10.75 tff(41635,plain,
% 14.98/10.75 (~node4(s48)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3126, 36, 41634])).
% 14.98/10.75 tff(41636,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41637,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41638,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41637, 41636])).
% 14.98/10.75 tff(41639,plain,
% 14.98/10.75 (xuntil2p8(s48) | (~until2p7(s48))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41638, 37556, 41635])).
% 14.98/10.75 tff(41640,plain,
% 14.98/10.75 (~until2p7(s48)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41639, 41633])).
% 14.98/10.75 tff(41641,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41642,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41643,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41642, 41641])).
% 14.98/10.75 tff(41644,plain,
% 14.98/10.75 (until2p7(s48) | (~xuntil2p8(s47))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41643, 3138, 37571])).
% 14.98/10.75 tff(41645,plain,
% 14.98/10.75 (~xuntil2p8(s47)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41644, 41640])).
% 14.98/10.75 tff(41646,plain,
% 14.98/10.75 (~always3(s47)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3151, 41634])).
% 14.98/10.75 tff(41647,plain,
% 14.98/10.75 (~node4(s47)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3155, 36, 41646])).
% 14.98/10.75 tff(41648,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41649,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41650,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41649, 41648])).
% 14.98/10.75 tff(41651,plain,
% 14.98/10.75 (xuntil2p8(s47) | (~until2p7(s47))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41650, 37556, 41647])).
% 14.98/10.75 tff(41652,plain,
% 14.98/10.75 (~until2p7(s47)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41651, 41645])).
% 14.98/10.75 tff(41653,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41654,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41655,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41654, 41653])).
% 14.98/10.75 tff(41656,plain,
% 14.98/10.75 (until2p7(s47) | (~xuntil2p8(s46))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41655, 3167, 37571])).
% 14.98/10.75 tff(41657,plain,
% 14.98/10.75 (~xuntil2p8(s46)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41656, 41652])).
% 14.98/10.75 tff(41658,plain,
% 14.98/10.75 (~always3(s46)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3175, 41646])).
% 14.98/10.75 tff(41659,plain,
% 14.98/10.75 (~node4(s46)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3198, 36, 41658])).
% 14.98/10.75 tff(41660,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41661,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41662,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41661, 41660])).
% 14.98/10.75 tff(41663,plain,
% 14.98/10.75 (xuntil2p8(s46) | (~until2p7(s46))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41662, 37556, 41659])).
% 14.98/10.75 tff(41664,plain,
% 14.98/10.75 (~until2p7(s46)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41663, 41657])).
% 14.98/10.75 tff(41665,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41666,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41667,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41666, 41665])).
% 14.98/10.75 tff(41668,plain,
% 14.98/10.75 (until2p7(s46) | (~xuntil2p8(s45))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41667, 2992, 37571])).
% 14.98/10.75 tff(41669,plain,
% 14.98/10.75 (~xuntil2p8(s45)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41668, 41664])).
% 14.98/10.75 tff(41670,plain,
% 14.98/10.75 (~always3(s45)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[3000, 41658])).
% 14.98/10.75 tff(41671,plain,
% 14.98/10.75 (~node4(s45)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2988, 36, 41670])).
% 14.98/10.75 tff(41672,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41673,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41674,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41673, 41672])).
% 14.98/10.75 tff(41675,plain,
% 14.98/10.75 (xuntil2p8(s45) | (~until2p7(s45))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41674, 37556, 41671])).
% 14.98/10.75 tff(41676,plain,
% 14.98/10.75 (~until2p7(s45)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41675, 41669])).
% 14.98/10.75 tff(41677,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41678,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41679,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41678, 41677])).
% 14.98/10.75 tff(41680,plain,
% 14.98/10.75 (until2p7(s45) | (~xuntil2p8(s44))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41679, 2936, 37571])).
% 14.98/10.75 tff(41681,plain,
% 14.98/10.75 (~xuntil2p8(s44)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41680, 41676])).
% 14.98/10.75 tff(41682,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41683,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41684,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41683, 41682])).
% 14.98/10.75 tff(41685,plain,
% 14.98/10.75 (xuntil2p8(s44) | (~until2p7(s44))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41684, 37556, 2967])).
% 14.98/10.75 tff(41686,plain,
% 14.98/10.75 (~until2p7(s44)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41685, 41681])).
% 14.98/10.75 tff(41687,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41688,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41689,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41688, 41687])).
% 14.98/10.75 tff(41690,plain,
% 14.98/10.75 (until2p7(s44) | (~xuntil2p8(s43))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41689, 2880, 37571])).
% 14.98/10.75 tff(41691,plain,
% 14.98/10.75 (~xuntil2p8(s43)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41690, 41686])).
% 14.98/10.75 tff(41692,plain,
% 14.98/10.75 (~always3(s44)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2944, 41670])).
% 14.98/10.75 tff(41693,plain,
% 14.98/10.75 (~always3(s43)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2888, 41692])).
% 14.98/10.75 tff(41694,plain,
% 14.98/10.75 (~node4(s43)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2876, 36, 41693])).
% 14.98/10.75 tff(41695,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41696,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41697,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41696, 41695])).
% 14.98/10.75 tff(41698,plain,
% 14.98/10.75 (xuntil2p8(s43) | (~until2p7(s43))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41697, 37556, 41694])).
% 14.98/10.75 tff(41699,plain,
% 14.98/10.75 (~until2p7(s43)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41698, 41691])).
% 14.98/10.75 tff(41700,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41701,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41702,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41701, 41700])).
% 14.98/10.75 tff(41703,plain,
% 14.98/10.75 (until2p7(s43) | (~xuntil2p8(s42))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41702, 2824, 37571])).
% 14.98/10.75 tff(41704,plain,
% 14.98/10.75 (~xuntil2p8(s42)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41703, 41699])).
% 14.98/10.75 tff(41705,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41706,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41707,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41706, 41705])).
% 14.98/10.75 tff(41708,plain,
% 14.98/10.75 (xuntil2p8(s42) | (~until2p7(s42))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41707, 37556, 2855])).
% 14.98/10.75 tff(41709,plain,
% 14.98/10.75 (~until2p7(s42)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41708, 41704])).
% 14.98/10.75 tff(41710,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41711,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41712,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41711, 41710])).
% 14.98/10.75 tff(41713,plain,
% 14.98/10.75 (until2p7(s42) | (~xuntil2p8(s41))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41712, 2765, 37571])).
% 14.98/10.75 tff(41714,plain,
% 14.98/10.75 (~xuntil2p8(s41)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41713, 41709])).
% 14.98/10.75 tff(41715,plain,
% 14.98/10.75 (~always3(s42)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2832, 41693])).
% 14.98/10.75 tff(41716,plain,
% 14.98/10.75 (~always3(s41)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2773, 41715])).
% 14.98/10.75 tff(41717,plain,
% 14.98/10.75 (~node4(s41)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2761, 36, 41716])).
% 14.98/10.75 tff(41718,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41719,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41720,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41719, 41718])).
% 14.98/10.75 tff(41721,plain,
% 14.98/10.75 (xuntil2p8(s41) | (~until2p7(s41))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41720, 37556, 41717])).
% 14.98/10.75 tff(41722,plain,
% 14.98/10.75 (~until2p7(s41)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41721, 41714])).
% 14.98/10.75 tff(41723,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41724,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41725,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41724, 41723])).
% 14.98/10.75 tff(41726,plain,
% 14.98/10.75 (until2p7(s41) | (~xuntil2p8(s40))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41725, 2691, 37571])).
% 14.98/10.75 tff(41727,plain,
% 14.98/10.75 (~xuntil2p8(s40)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41726, 41722])).
% 14.98/10.75 tff(41728,plain,
% 14.98/10.75 (~always3(s40)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2699, 41716])).
% 14.98/10.75 tff(41729,plain,
% 14.98/10.75 (~node4(s40)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2641, 36, 41728])).
% 14.98/10.75 tff(41730,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41731,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41732,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41731, 41730])).
% 14.98/10.75 tff(41733,plain,
% 14.98/10.75 (xuntil2p8(s40) | (~until2p7(s40))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41732, 37556, 41729])).
% 14.98/10.75 tff(41734,plain,
% 14.98/10.75 (~until2p7(s40)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41733, 41727])).
% 14.98/10.75 tff(41735,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41736,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41737,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41736, 41735])).
% 14.98/10.75 tff(41738,plain,
% 14.98/10.75 (until2p7(s40) | (~xuntil2p8(s39))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41737, 2653, 37571])).
% 14.98/10.75 tff(41739,plain,
% 14.98/10.75 (~xuntil2p8(s39)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41738, 41734])).
% 14.98/10.75 tff(41740,plain,
% 14.98/10.75 (~always3(s39)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2661, 41728])).
% 14.98/10.75 tff(41741,plain,
% 14.98/10.75 (~node4(s39)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2665, 36, 41740])).
% 14.98/10.75 tff(41742,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41743,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41744,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41743, 41742])).
% 14.98/10.75 tff(41745,plain,
% 14.98/10.75 (xuntil2p8(s39) | (~until2p7(s39))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41744, 37556, 41741])).
% 14.98/10.75 tff(41746,plain,
% 14.98/10.75 (~until2p7(s39)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41745, 41739])).
% 14.98/10.75 tff(41747,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41748,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41749,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41748, 41747])).
% 14.98/10.75 tff(41750,plain,
% 14.98/10.75 (until2p7(s39) | (~xuntil2p8(s38))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41749, 2591, 37571])).
% 14.98/10.75 tff(41751,plain,
% 14.98/10.75 (~xuntil2p8(s38)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41750, 41746])).
% 14.98/10.75 tff(41752,plain,
% 14.98/10.75 (~always3(s38)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2599, 41740])).
% 14.98/10.75 tff(41753,plain,
% 14.98/10.75 (~node4(s38)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[2587, 36, 41752])).
% 14.98/10.75 tff(41754,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41755,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41756,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41755, 41754])).
% 14.98/10.75 tff(41757,plain,
% 14.98/10.75 (xuntil2p8(s38) | (~until2p7(s38))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41756, 37556, 41753])).
% 14.98/10.75 tff(41758,plain,
% 14.98/10.75 (~until2p7(s38)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41757, 41751])).
% 14.98/10.75 tff(41759,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41760,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41761,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41760, 41759])).
% 14.98/10.75 tff(41762,plain,
% 14.98/10.75 (until2p7(s38) | (~xuntil2p8(s37))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41761, 1904, 37571])).
% 14.98/10.75 tff(41763,plain,
% 14.98/10.75 (~xuntil2p8(s37)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41762, 41758])).
% 14.98/10.75 tff(41764,plain,
% 14.98/10.75 (~always3(s37)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[1912, 41752])).
% 14.98/10.75 tff(41765,plain,
% 14.98/10.75 (~node4(s37)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[1341, 36, 41764])).
% 14.98/10.75 tff(41766,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41767,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41768,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41767, 41766])).
% 14.98/10.75 tff(41769,plain,
% 14.98/10.75 (xuntil2p8(s37) | (~until2p7(s37))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41768, 37556, 41765])).
% 14.98/10.75 tff(41770,plain,
% 14.98/10.75 (~until2p7(s37)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41769, 41763])).
% 14.98/10.75 tff(41771,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41772,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41773,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41772, 41771])).
% 14.98/10.75 tff(41774,plain,
% 14.98/10.75 (until2p7(s37) | (~xuntil2p8(s36))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41773, 1325, 37571])).
% 14.98/10.75 tff(41775,plain,
% 14.98/10.75 (~xuntil2p8(s36)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41774, 41770])).
% 14.98/10.75 tff(41776,plain,
% 14.98/10.75 (~always3(s36)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[1333, 41764])).
% 14.98/10.75 tff(41777,plain,
% 14.98/10.75 (~node4(s36)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[1337, 36, 41776])).
% 14.98/10.75 tff(41778,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41779,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41780,plain,
% 14.98/10.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36))),
% 14.98/10.75 inference(modus_ponens,[status(thm)],[41779, 41778])).
% 14.98/10.75 tff(41781,plain,
% 14.98/10.75 (xuntil2p8(s36) | (~until2p7(s36))),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41780, 37556, 41777])).
% 14.98/10.75 tff(41782,plain,
% 14.98/10.75 (~until2p7(s36)),
% 14.98/10.75 inference(unit_resolution,[status(thm)],[41781, 41775])).
% 14.98/10.75 tff(41783,plain,
% 14.98/10.75 (((~![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)))),
% 14.98/10.75 inference(rewrite,[status(thm)],[])).
% 14.98/10.75 tff(41784,plain,
% 14.98/10.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 14.98/10.75 inference(quant_inst,[status(thm)],[])).
% 14.98/10.75 tff(41785,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41784, 41783])).
% 14.98/10.76 tff(41786,plain,
% 14.98/10.76 (until2p7(s36) | (~xuntil2p8(s35))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41785, 1365, 37571])).
% 14.98/10.76 tff(41787,plain,
% 14.98/10.76 (~xuntil2p8(s35)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41786, 41782])).
% 14.98/10.76 tff(41788,plain,
% 14.98/10.76 (~always3(s35)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1378, 41776])).
% 14.98/10.76 tff(41789,plain,
% 14.98/10.76 (~node4(s35)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1382, 36, 41788])).
% 14.98/10.76 tff(41790,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41791,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41792,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41791, 41790])).
% 14.98/10.76 tff(41793,plain,
% 14.98/10.76 (xuntil2p8(s35) | (~until2p7(s35))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41792, 37556, 41789])).
% 14.98/10.76 tff(41794,plain,
% 14.98/10.76 (~until2p7(s35)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41793, 41787])).
% 14.98/10.76 tff(41795,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41796,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41797,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41796, 41795])).
% 14.98/10.76 tff(41798,plain,
% 14.98/10.76 (until2p7(s35) | (~xuntil2p8(s34))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41797, 1394, 37571])).
% 14.98/10.76 tff(41799,plain,
% 14.98/10.76 (~xuntil2p8(s34)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41798, 41794])).
% 14.98/10.76 tff(41800,plain,
% 14.98/10.76 (~always3(s34)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1407, 41788])).
% 14.98/10.76 tff(41801,plain,
% 14.98/10.76 (~node4(s34)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1411, 36, 41800])).
% 14.98/10.76 tff(41802,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41803,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41804,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41803, 41802])).
% 14.98/10.76 tff(41805,plain,
% 14.98/10.76 (xuntil2p8(s34) | (~until2p7(s34))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41804, 37556, 41801])).
% 14.98/10.76 tff(41806,plain,
% 14.98/10.76 (~until2p7(s34)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41805, 41799])).
% 14.98/10.76 tff(41807,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41808,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41809,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41808, 41807])).
% 14.98/10.76 tff(41810,plain,
% 14.98/10.76 (until2p7(s34) | (~xuntil2p8(s33))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41809, 1423, 37571])).
% 14.98/10.76 tff(41811,plain,
% 14.98/10.76 (~xuntil2p8(s33)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41810, 41806])).
% 14.98/10.76 tff(41812,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41813,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41814,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41813, 41812])).
% 14.98/10.76 tff(41815,plain,
% 14.98/10.76 (xuntil2p8(s33) | (~until2p7(s33))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41814, 37556, 2510])).
% 14.98/10.76 tff(41816,plain,
% 14.98/10.76 (~until2p7(s33)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41815, 41811])).
% 14.98/10.76 tff(41817,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41818,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41819,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41818, 41817])).
% 14.98/10.76 tff(41820,plain,
% 14.98/10.76 (until2p7(s33) | (~xuntil2p8(s32))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41819, 192, 37571])).
% 14.98/10.76 tff(41821,plain,
% 14.98/10.76 (~xuntil2p8(s32)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41820, 41816])).
% 14.98/10.76 tff(41822,plain,
% 14.98/10.76 (~always3(s33)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1436, 41800])).
% 14.98/10.76 tff(41823,plain,
% 14.98/10.76 (~always3(s32)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[200, 41822])).
% 14.98/10.76 tff(41824,plain,
% 14.98/10.76 (~node4(s32)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[188, 36, 41823])).
% 14.98/10.76 tff(41825,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41826,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41827,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41826, 41825])).
% 14.98/10.76 tff(41828,plain,
% 14.98/10.76 (xuntil2p8(s32) | (~until2p7(s32))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41827, 37556, 41824])).
% 14.98/10.76 tff(41829,plain,
% 14.98/10.76 (~until2p7(s32)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41828, 41821])).
% 14.98/10.76 tff(41830,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41831,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41832,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41831, 41830])).
% 14.98/10.76 tff(41833,plain,
% 14.98/10.76 (until2p7(s32) | (~xuntil2p8(s31))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41832, 1467, 37571])).
% 14.98/10.76 tff(41834,plain,
% 14.98/10.76 (~xuntil2p8(s31)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41833, 41829])).
% 14.98/10.76 tff(41835,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41836,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41837,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41836, 41835])).
% 14.98/10.76 tff(41838,plain,
% 14.98/10.76 (xuntil2p8(s31) | (~until2p7(s31))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41837, 37556, 2422])).
% 14.98/10.76 tff(41839,plain,
% 14.98/10.76 (~until2p7(s31)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41838, 41834])).
% 14.98/10.76 tff(41840,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41841,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41842,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41841, 41840])).
% 14.98/10.76 tff(41843,plain,
% 14.98/10.76 (until2p7(s31) | (~xuntil2p8(s30))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41842, 241, 37571])).
% 14.98/10.76 tff(41844,plain,
% 14.98/10.76 (~xuntil2p8(s30)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41843, 41839])).
% 14.98/10.76 tff(41845,plain,
% 14.98/10.76 (~always3(s31)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1480, 41823])).
% 14.98/10.76 tff(41846,plain,
% 14.98/10.76 (~always3(s30)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[249, 41845])).
% 14.98/10.76 tff(41847,plain,
% 14.98/10.76 (~node4(s30)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[237, 36, 41846])).
% 14.98/10.76 tff(41848,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41849,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41850,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41849, 41848])).
% 14.98/10.76 tff(41851,plain,
% 14.98/10.76 (xuntil2p8(s30) | (~until2p7(s30))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41850, 37556, 41847])).
% 14.98/10.76 tff(41852,plain,
% 14.98/10.76 (~until2p7(s30)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41851, 41844])).
% 14.98/10.76 tff(41853,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41854,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41855,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41854, 41853])).
% 14.98/10.76 tff(41856,plain,
% 14.98/10.76 (until2p7(s30) | (~xuntil2p8(s29))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41855, 1511, 37571])).
% 14.98/10.76 tff(41857,plain,
% 14.98/10.76 (~xuntil2p8(s29)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41856, 41852])).
% 14.98/10.76 tff(41858,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41859,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41860,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41859, 41858])).
% 14.98/10.76 tff(41861,plain,
% 14.98/10.76 (xuntil2p8(s29) | (~until2p7(s29))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41860, 37556, 2393])).
% 14.98/10.76 tff(41862,plain,
% 14.98/10.76 (~until2p7(s29)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41861, 41857])).
% 14.98/10.76 tff(41863,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41864,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41865,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41864, 41863])).
% 14.98/10.76 tff(41866,plain,
% 14.98/10.76 (until2p7(s29) | (~xuntil2p8(s28))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41865, 143, 37571])).
% 14.98/10.76 tff(41867,plain,
% 14.98/10.76 (~xuntil2p8(s28)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41866, 41862])).
% 14.98/10.76 tff(41868,plain,
% 14.98/10.76 (~always3(s29)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1524, 41846])).
% 14.98/10.76 tff(41869,plain,
% 14.98/10.76 (~always3(s28)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[151, 41868])).
% 14.98/10.76 tff(41870,plain,
% 14.98/10.76 (~node4(s28)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[139, 36, 41869])).
% 14.98/10.76 tff(41871,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41872,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41873,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41872, 41871])).
% 14.98/10.76 tff(41874,plain,
% 14.98/10.76 (xuntil2p8(s28) | (~until2p7(s28))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41873, 37556, 41870])).
% 14.98/10.76 tff(41875,plain,
% 14.98/10.76 (~until2p7(s28)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41874, 41867])).
% 14.98/10.76 tff(41876,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41877,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41878,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41877, 41876])).
% 14.98/10.76 tff(41879,plain,
% 14.98/10.76 (until2p7(s28) | (~xuntil2p8(s27))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41878, 1555, 37571])).
% 14.98/10.76 tff(41880,plain,
% 14.98/10.76 (~xuntil2p8(s27)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41879, 41875])).
% 14.98/10.76 tff(41881,plain,
% 14.98/10.76 (~always3(s27)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1568, 41869])).
% 14.98/10.76 tff(41882,plain,
% 14.98/10.76 (~node4(s27)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1572, 36, 41881])).
% 14.98/10.76 tff(41883,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41884,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41885,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41884, 41883])).
% 14.98/10.76 tff(41886,plain,
% 14.98/10.76 (xuntil2p8(s27) | (~until2p7(s27))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41885, 37556, 41882])).
% 14.98/10.76 tff(41887,plain,
% 14.98/10.76 (~until2p7(s27)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41886, 41880])).
% 14.98/10.76 tff(41888,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41889,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41890,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41889, 41888])).
% 14.98/10.76 tff(41891,plain,
% 14.98/10.76 (until2p7(s27) | (~xuntil2p8(s26))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41890, 1584, 37571])).
% 14.98/10.76 tff(41892,plain,
% 14.98/10.76 (~xuntil2p8(s26)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41891, 41887])).
% 14.98/10.76 tff(41893,plain,
% 14.98/10.76 (~always3(s26)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1592, 41881])).
% 14.98/10.76 tff(41894,plain,
% 14.98/10.76 (~node4(s26)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1885, 36, 41893])).
% 14.98/10.76 tff(41895,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41896,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41897,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41896, 41895])).
% 14.98/10.76 tff(41898,plain,
% 14.98/10.76 (xuntil2p8(s26) | (~until2p7(s26))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41897, 37556, 41894])).
% 14.98/10.76 tff(41899,plain,
% 14.98/10.76 (~until2p7(s26)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41898, 41892])).
% 14.98/10.76 tff(41900,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41901,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41902,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41901, 41900])).
% 14.98/10.76 tff(41903,plain,
% 14.98/10.76 (until2p7(s26) | (~xuntil2p8(s25))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41902, 1596, 37571])).
% 14.98/10.76 tff(41904,plain,
% 14.98/10.76 (~xuntil2p8(s25)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41903, 41899])).
% 14.98/10.76 tff(41905,plain,
% 14.98/10.76 (~always3(s25)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1604, 41893])).
% 14.98/10.76 tff(41906,plain,
% 14.98/10.76 (~node4(s25)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1868, 36, 41905])).
% 14.98/10.76 tff(41907,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41908,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41909,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41908, 41907])).
% 14.98/10.76 tff(41910,plain,
% 14.98/10.76 (xuntil2p8(s25) | (~until2p7(s25))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41909, 37556, 41906])).
% 14.98/10.76 tff(41911,plain,
% 14.98/10.76 (~until2p7(s25)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41910, 41904])).
% 14.98/10.76 tff(41912,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41913,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41914,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41913, 41912])).
% 14.98/10.76 tff(41915,plain,
% 14.98/10.76 (until2p7(s25) | (~xuntil2p8(s24))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41914, 1608, 37571])).
% 14.98/10.76 tff(41916,plain,
% 14.98/10.76 (~xuntil2p8(s24)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41915, 41911])).
% 14.98/10.76 tff(41917,plain,
% 14.98/10.76 (~always3(s24)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1616, 41905])).
% 14.98/10.76 tff(41918,plain,
% 14.98/10.76 (~node4(s24)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1851, 36, 41917])).
% 14.98/10.76 tff(41919,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41920,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41921,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41920, 41919])).
% 14.98/10.76 tff(41922,plain,
% 14.98/10.76 (xuntil2p8(s24) | (~until2p7(s24))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41921, 37556, 41918])).
% 14.98/10.76 tff(41923,plain,
% 14.98/10.76 (~until2p7(s24)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41922, 41916])).
% 14.98/10.76 tff(41924,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41925,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41926,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41925, 41924])).
% 14.98/10.76 tff(41927,plain,
% 14.98/10.76 (until2p7(s24) | (~xuntil2p8(s23))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41926, 1620, 37571])).
% 14.98/10.76 tff(41928,plain,
% 14.98/10.76 (~xuntil2p8(s23)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41927, 41923])).
% 14.98/10.76 tff(41929,plain,
% 14.98/10.76 (~always3(s23)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1628, 41917])).
% 14.98/10.76 tff(41930,plain,
% 14.98/10.76 (~node4(s23)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1834, 36, 41929])).
% 14.98/10.76 tff(41931,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41932,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41933,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41932, 41931])).
% 14.98/10.76 tff(41934,plain,
% 14.98/10.76 (xuntil2p8(s23) | (~until2p7(s23))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41933, 37556, 41930])).
% 14.98/10.76 tff(41935,plain,
% 14.98/10.76 (~until2p7(s23)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41934, 41928])).
% 14.98/10.76 tff(41936,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41937,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41938,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41937, 41936])).
% 14.98/10.76 tff(41939,plain,
% 14.98/10.76 (until2p7(s23) | (~xuntil2p8(s22))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41938, 1632, 37571])).
% 14.98/10.76 tff(41940,plain,
% 14.98/10.76 (~xuntil2p8(s22)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41939, 41935])).
% 14.98/10.76 tff(41941,plain,
% 14.98/10.76 (~always3(s22)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1640, 41929])).
% 14.98/10.76 tff(41942,plain,
% 14.98/10.76 (~node4(s22)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1817, 36, 41941])).
% 14.98/10.76 tff(41943,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41944,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41945,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41944, 41943])).
% 14.98/10.76 tff(41946,plain,
% 14.98/10.76 (xuntil2p8(s22) | (~until2p7(s22))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41945, 37556, 41942])).
% 14.98/10.76 tff(41947,plain,
% 14.98/10.76 (~until2p7(s22)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41946, 41940])).
% 14.98/10.76 tff(41948,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41949,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41950,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41949, 41948])).
% 14.98/10.76 tff(41951,plain,
% 14.98/10.76 (until2p7(s22) | (~xuntil2p8(s21))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41950, 1644, 37571])).
% 14.98/10.76 tff(41952,plain,
% 14.98/10.76 (~xuntil2p8(s21)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41951, 41947])).
% 14.98/10.76 tff(41953,plain,
% 14.98/10.76 (~always3(s21)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1652, 41941])).
% 14.98/10.76 tff(41954,plain,
% 14.98/10.76 (~node4(s21)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1800, 36, 41953])).
% 14.98/10.76 tff(41955,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41956,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41957,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41956, 41955])).
% 14.98/10.76 tff(41958,plain,
% 14.98/10.76 (xuntil2p8(s21) | (~until2p7(s21))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41957, 37556, 41954])).
% 14.98/10.76 tff(41959,plain,
% 14.98/10.76 (~until2p7(s21)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41958, 41952])).
% 14.98/10.76 tff(41960,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41961,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41962,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41961, 41960])).
% 14.98/10.76 tff(41963,plain,
% 14.98/10.76 (until2p7(s21) | (~xuntil2p8(s20))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41962, 1656, 37571])).
% 14.98/10.76 tff(41964,plain,
% 14.98/10.76 (~xuntil2p8(s20)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41963, 41959])).
% 14.98/10.76 tff(41965,plain,
% 14.98/10.76 (~always3(s20)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1664, 41953])).
% 14.98/10.76 tff(41966,plain,
% 14.98/10.76 (~node4(s20)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1783, 36, 41965])).
% 14.98/10.76 tff(41967,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41968,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41969,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41968, 41967])).
% 14.98/10.76 tff(41970,plain,
% 14.98/10.76 (xuntil2p8(s20) | (~until2p7(s20))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41969, 37556, 41966])).
% 14.98/10.76 tff(41971,plain,
% 14.98/10.76 (~until2p7(s20)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41970, 41964])).
% 14.98/10.76 tff(41972,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41973,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41974,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41973, 41972])).
% 14.98/10.76 tff(41975,plain,
% 14.98/10.76 (until2p7(s20) | (~xuntil2p8(s19))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41974, 1668, 37571])).
% 14.98/10.76 tff(41976,plain,
% 14.98/10.76 (~xuntil2p8(s19)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41975, 41971])).
% 14.98/10.76 tff(41977,plain,
% 14.98/10.76 (~always3(s19)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1676, 41965])).
% 14.98/10.76 tff(41978,plain,
% 14.98/10.76 (~node4(s19)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1766, 36, 41977])).
% 14.98/10.76 tff(41979,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41980,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41981,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41980, 41979])).
% 14.98/10.76 tff(41982,plain,
% 14.98/10.76 (xuntil2p8(s19) | (~until2p7(s19))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41981, 37556, 41978])).
% 14.98/10.76 tff(41983,plain,
% 14.98/10.76 (~until2p7(s19)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41982, 41976])).
% 14.98/10.76 tff(41984,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41985,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41986,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41985, 41984])).
% 14.98/10.76 tff(41987,plain,
% 14.98/10.76 (until2p7(s19) | (~xuntil2p8(s18))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41986, 1680, 37571])).
% 14.98/10.76 tff(41988,plain,
% 14.98/10.76 (~xuntil2p8(s18)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41987, 41983])).
% 14.98/10.76 tff(41989,plain,
% 14.98/10.76 (~always3(s18)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1688, 41977])).
% 14.98/10.76 tff(41990,plain,
% 14.98/10.76 (~node4(s18)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[1749, 36, 41989])).
% 14.98/10.76 tff(41991,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41992,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41993,plain,
% 14.98/10.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41992, 41991])).
% 14.98/10.76 tff(41994,plain,
% 14.98/10.76 (xuntil2p8(s18) | (~until2p7(s18))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41993, 37556, 41990])).
% 14.98/10.76 tff(41995,plain,
% 14.98/10.76 (~until2p7(s18)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41994, 41988])).
% 14.98/10.76 tff(41996,plain,
% 14.98/10.76 (((~![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)))),
% 14.98/10.76 inference(rewrite,[status(thm)],[])).
% 14.98/10.76 tff(41997,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 14.98/10.76 inference(quant_inst,[status(thm)],[])).
% 14.98/10.76 tff(41998,plain,
% 14.98/10.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17))),
% 14.98/10.76 inference(modus_ponens,[status(thm)],[41997, 41996])).
% 14.98/10.76 tff(41999,plain,
% 14.98/10.76 (until2p7(s18) | (~xuntil2p8(s17))),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41998, 1692, 37571])).
% 14.98/10.76 tff(42000,plain,
% 14.98/10.76 (~xuntil2p8(s17)),
% 14.98/10.76 inference(unit_resolution,[status(thm)],[41999, 41995])).
% 14.98/10.76 tff(42001,plain,
% 14.98/10.76 (~always3(s17)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1700, 41989])).
% 14.98/10.77 tff(42002,plain,
% 14.98/10.77 (~node4(s17)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1704, 36, 42001])).
% 14.98/10.77 tff(42003,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42004,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42005,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42004, 42003])).
% 14.98/10.77 tff(42006,plain,
% 14.98/10.77 (xuntil2p8(s17) | (~until2p7(s17))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42005, 37556, 42002])).
% 14.98/10.77 tff(42007,plain,
% 14.98/10.77 (~until2p7(s17)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42006, 42000])).
% 14.98/10.77 tff(42008,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42009,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42010,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42009, 42008])).
% 14.98/10.77 tff(42011,plain,
% 14.98/10.77 (until2p7(s17) | (~xuntil2p8(s16))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42010, 1708, 37571])).
% 14.98/10.77 tff(42012,plain,
% 14.98/10.77 (~xuntil2p8(s16)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42011, 42007])).
% 14.98/10.77 tff(42013,plain,
% 14.98/10.77 (~always3(s16)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1716, 42001])).
% 14.98/10.77 tff(42014,plain,
% 14.98/10.77 (~node4(s16)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1720, 36, 42013])).
% 14.98/10.77 tff(42015,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42016,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42017,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42016, 42015])).
% 14.98/10.77 tff(42018,plain,
% 14.98/10.77 (xuntil2p8(s16) | (~until2p7(s16))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42017, 37556, 42014])).
% 14.98/10.77 tff(42019,plain,
% 14.98/10.77 (~until2p7(s16)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42018, 42012])).
% 14.98/10.77 tff(42020,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42021,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42022,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42021, 42020])).
% 14.98/10.77 tff(42023,plain,
% 14.98/10.77 (until2p7(s16) | (~xuntil2p8(s15))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42022, 1251, 37571])).
% 14.98/10.77 tff(42024,plain,
% 14.98/10.77 (~xuntil2p8(s15)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42023, 42019])).
% 14.98/10.77 tff(42025,plain,
% 14.98/10.77 (~always3(s15)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1259, 42013])).
% 14.98/10.77 tff(42026,plain,
% 14.98/10.77 (~node4(s15)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1150, 36, 42025])).
% 14.98/10.77 tff(42027,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42028,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42029,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42028, 42027])).
% 14.98/10.77 tff(42030,plain,
% 14.98/10.77 (xuntil2p8(s15) | (~until2p7(s15))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42029, 37556, 42026])).
% 14.98/10.77 tff(42031,plain,
% 14.98/10.77 (~until2p7(s15)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42030, 42024])).
% 14.98/10.77 tff(42032,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42033,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42034,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42033, 42032])).
% 14.98/10.77 tff(42035,plain,
% 14.98/10.77 (until2p7(s15) | (~xuntil2p8(s14))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42034, 1134, 37571])).
% 14.98/10.77 tff(42036,plain,
% 14.98/10.77 (~xuntil2p8(s14)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42035, 42031])).
% 14.98/10.77 tff(42037,plain,
% 14.98/10.77 (~always3(s14)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1142, 42025])).
% 14.98/10.77 tff(42038,plain,
% 14.98/10.77 (~node4(s14)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1146, 36, 42037])).
% 14.98/10.77 tff(42039,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42040,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42041,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42040, 42039])).
% 14.98/10.77 tff(42042,plain,
% 14.98/10.77 (xuntil2p8(s14) | (~until2p7(s14))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42041, 37556, 42038])).
% 14.98/10.77 tff(42043,plain,
% 14.98/10.77 (~until2p7(s14)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42042, 42036])).
% 14.98/10.77 tff(42044,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42045,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42046,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42045, 42044])).
% 14.98/10.77 tff(42047,plain,
% 14.98/10.77 (until2p7(s14) | (~xuntil2p8(s13))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42046, 1085, 37571])).
% 14.98/10.77 tff(42048,plain,
% 14.98/10.77 (~xuntil2p8(s13)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42047, 42043])).
% 14.98/10.77 tff(42049,plain,
% 14.98/10.77 (~always3(s13)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1093, 42037])).
% 14.98/10.77 tff(42050,plain,
% 14.98/10.77 (~node4(s13)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1081, 36, 42049])).
% 14.98/10.77 tff(42051,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42052,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42053,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42052, 42051])).
% 14.98/10.77 tff(42054,plain,
% 14.98/10.77 (xuntil2p8(s13) | (~until2p7(s13))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42053, 37556, 42050])).
% 14.98/10.77 tff(42055,plain,
% 14.98/10.77 (~until2p7(s13)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42054, 42048])).
% 14.98/10.77 tff(42056,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42057,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42058,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42057, 42056])).
% 14.98/10.77 tff(42059,plain,
% 14.98/10.77 (until2p7(s13) | (~xuntil2p8(s12))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42058, 1029, 37571])).
% 14.98/10.77 tff(42060,plain,
% 14.98/10.77 (~xuntil2p8(s12)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42059, 42055])).
% 14.98/10.77 tff(42061,plain,
% 14.98/10.77 (~always3(s12)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1037, 42049])).
% 14.98/10.77 tff(42062,plain,
% 14.98/10.77 (~node4(s12)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[1025, 36, 42061])).
% 14.98/10.77 tff(42063,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42064,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42065,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42064, 42063])).
% 14.98/10.77 tff(42066,plain,
% 14.98/10.77 (xuntil2p8(s12) | (~until2p7(s12))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42065, 37556, 42062])).
% 14.98/10.77 tff(42067,plain,
% 14.98/10.77 (~until2p7(s12)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42066, 42060])).
% 14.98/10.77 tff(42068,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42069,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42070,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42069, 42068])).
% 14.98/10.77 tff(42071,plain,
% 14.98/10.77 (until2p7(s12) | (~xuntil2p8(s11))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42070, 973, 37571])).
% 14.98/10.77 tff(42072,plain,
% 14.98/10.77 (~xuntil2p8(s11)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42071, 42067])).
% 14.98/10.77 tff(42073,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42074,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42075,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42074, 42073])).
% 14.98/10.77 tff(42076,plain,
% 14.98/10.77 (xuntil2p8(s11) | (~until2p7(s11))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42075, 37556, 1004])).
% 14.98/10.77 tff(42077,plain,
% 14.98/10.77 (~until2p7(s11)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42076, 42072])).
% 14.98/10.77 tff(42078,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42079,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42080,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42079, 42078])).
% 14.98/10.77 tff(42081,plain,
% 14.98/10.77 (until2p7(s11) | (~xuntil2p8(s10))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42080, 917, 37571])).
% 14.98/10.77 tff(42082,plain,
% 14.98/10.77 (~xuntil2p8(s10)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42081, 42077])).
% 14.98/10.77 tff(42083,plain,
% 14.98/10.77 (~always3(s11)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[981, 42061])).
% 14.98/10.77 tff(42084,plain,
% 14.98/10.77 (~always3(s10)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[925, 42083])).
% 14.98/10.77 tff(42085,plain,
% 14.98/10.77 (~node4(s10)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[913, 36, 42084])).
% 14.98/10.77 tff(42086,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42087,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42088,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42087, 42086])).
% 14.98/10.77 tff(42089,plain,
% 14.98/10.77 (xuntil2p8(s10) | (~until2p7(s10))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42088, 37556, 42085])).
% 14.98/10.77 tff(42090,plain,
% 14.98/10.77 (~until2p7(s10)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42089, 42082])).
% 14.98/10.77 tff(42091,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42092,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42093,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42092, 42091])).
% 14.98/10.77 tff(42094,plain,
% 14.98/10.77 (until2p7(s10) | (~xuntil2p8(s9))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42093, 861, 37571])).
% 14.98/10.77 tff(42095,plain,
% 14.98/10.77 (~xuntil2p8(s9)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42094, 42090])).
% 14.98/10.77 tff(42096,plain,
% 14.98/10.77 (~always3(s9)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[869, 42084])).
% 14.98/10.77 tff(42097,plain,
% 14.98/10.77 (~node4(s9)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[857, 36, 42096])).
% 14.98/10.77 tff(42098,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42099,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42100,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42099, 42098])).
% 14.98/10.77 tff(42101,plain,
% 14.98/10.77 (xuntil2p8(s9) | (~until2p7(s9))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42100, 37556, 42097])).
% 14.98/10.77 tff(42102,plain,
% 14.98/10.77 (~until2p7(s9)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42101, 42095])).
% 14.98/10.77 tff(42103,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42104,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42105,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42104, 42103])).
% 14.98/10.77 tff(42106,plain,
% 14.98/10.77 (until2p7(s9) | (~xuntil2p8(s8))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42105, 805, 37571])).
% 14.98/10.77 tff(42107,plain,
% 14.98/10.77 (~xuntil2p8(s8)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42106, 42102])).
% 14.98/10.77 tff(42108,plain,
% 14.98/10.77 (~always3(s8)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[813, 42096])).
% 14.98/10.77 tff(42109,plain,
% 14.98/10.77 (~node4(s8)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[801, 36, 42108])).
% 14.98/10.77 tff(42110,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42111,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42112,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42111, 42110])).
% 14.98/10.77 tff(42113,plain,
% 14.98/10.77 (xuntil2p8(s8) | (~until2p7(s8))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42112, 37556, 42109])).
% 14.98/10.77 tff(42114,plain,
% 14.98/10.77 (~until2p7(s8)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42113, 42107])).
% 14.98/10.77 tff(42115,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42116,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42117,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42116, 42115])).
% 14.98/10.77 tff(42118,plain,
% 14.98/10.77 (until2p7(s8) | (~xuntil2p8(s7))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42117, 729, 37571])).
% 14.98/10.77 tff(42119,plain,
% 14.98/10.77 (~xuntil2p8(s7)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42118, 42114])).
% 14.98/10.77 tff(42120,plain,
% 14.98/10.77 (~always3(s7)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[737, 42108])).
% 14.98/10.77 tff(42121,plain,
% 14.98/10.77 (~node4(s7)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[676, 36, 42120])).
% 14.98/10.77 tff(42122,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42123,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42124,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42123, 42122])).
% 14.98/10.77 tff(42125,plain,
% 14.98/10.77 (xuntil2p8(s7) | (~until2p7(s7))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42124, 37556, 42121])).
% 14.98/10.77 tff(42126,plain,
% 14.98/10.77 (~until2p7(s7)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42125, 42119])).
% 14.98/10.77 tff(42127,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42128,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42129,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42128, 42127])).
% 14.98/10.77 tff(42130,plain,
% 14.98/10.77 (until2p7(s7) | (~xuntil2p8(s6))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42129, 688, 37571])).
% 14.98/10.77 tff(42131,plain,
% 14.98/10.77 (~xuntil2p8(s6)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42130, 42126])).
% 14.98/10.77 tff(42132,plain,
% 14.98/10.77 (~always3(s6)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[696, 42120])).
% 14.98/10.77 tff(42133,plain,
% 14.98/10.77 (~node4(s6)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[700, 36, 42132])).
% 14.98/10.77 tff(42134,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42135,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42136,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42135, 42134])).
% 14.98/10.77 tff(42137,plain,
% 14.98/10.77 (xuntil2p8(s6) | (~until2p7(s6))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42136, 37556, 42133])).
% 14.98/10.77 tff(42138,plain,
% 14.98/10.77 (~until2p7(s6)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42137, 42131])).
% 14.98/10.77 tff(42139,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42140,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42141,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42140, 42139])).
% 14.98/10.77 tff(42142,plain,
% 14.98/10.77 (until2p7(s6) | (~xuntil2p8(s5))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42141, 607, 37571])).
% 14.98/10.77 tff(42143,plain,
% 14.98/10.77 (~xuntil2p8(s5)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42142, 42138])).
% 14.98/10.77 tff(42144,plain,
% 14.98/10.77 (~always3(s5)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[615, 42132])).
% 14.98/10.77 tff(42145,plain,
% 14.98/10.77 (~node4(s5)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[556, 36, 42144])).
% 14.98/10.77 tff(42146,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42147,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42148,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42147, 42146])).
% 14.98/10.77 tff(42149,plain,
% 14.98/10.77 (xuntil2p8(s5) | (~until2p7(s5))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42148, 37556, 42145])).
% 14.98/10.77 tff(42150,plain,
% 14.98/10.77 (~until2p7(s5)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42149, 42143])).
% 14.98/10.77 tff(42151,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42152,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42153,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42152, 42151])).
% 14.98/10.77 tff(42154,plain,
% 14.98/10.77 (until2p7(s5) | (~xuntil2p8(s4))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42153, 540, 37571])).
% 14.98/10.77 tff(42155,plain,
% 14.98/10.77 (~xuntil2p8(s4)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42154, 42150])).
% 14.98/10.77 tff(42156,plain,
% 14.98/10.77 (~always3(s4)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[548, 42144])).
% 14.98/10.77 tff(42157,plain,
% 14.98/10.77 (~node4(s4)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[552, 36, 42156])).
% 14.98/10.77 tff(42158,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42159,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42160,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42159, 42158])).
% 14.98/10.77 tff(42161,plain,
% 14.98/10.77 (xuntil2p8(s4) | (~until2p7(s4))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42160, 37556, 42157])).
% 14.98/10.77 tff(42162,plain,
% 14.98/10.77 (~until2p7(s4)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42161, 42155])).
% 14.98/10.77 tff(42163,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42164,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42165,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42164, 42163])).
% 14.98/10.77 tff(42166,plain,
% 14.98/10.77 (until2p7(s4) | (~xuntil2p8(s3))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42165, 491, 37571])).
% 14.98/10.77 tff(42167,plain,
% 14.98/10.77 (~xuntil2p8(s3)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42166, 42162])).
% 14.98/10.77 tff(42168,plain,
% 14.98/10.77 (~always3(s3)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[499, 42156])).
% 14.98/10.77 tff(42169,plain,
% 14.98/10.77 (~node4(s3)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[487, 36, 42168])).
% 14.98/10.77 tff(42170,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42171,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42172,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42171, 42170])).
% 14.98/10.77 tff(42173,plain,
% 14.98/10.77 (xuntil2p8(s3) | (~until2p7(s3))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42172, 37556, 42169])).
% 14.98/10.77 tff(42174,plain,
% 14.98/10.77 (~until2p7(s3)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42173, 42167])).
% 14.98/10.77 tff(42175,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42176,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42177,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42176, 42175])).
% 14.98/10.77 tff(42178,plain,
% 14.98/10.77 (until2p7(s3) | (~xuntil2p8(s2))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42177, 412, 37571])).
% 14.98/10.77 tff(42179,plain,
% 14.98/10.77 (~xuntil2p8(s2)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42178, 42174])).
% 14.98/10.77 tff(42180,plain,
% 14.98/10.77 (~always3(s2)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[420, 42168])).
% 14.98/10.77 tff(42181,plain,
% 14.98/10.77 (~node4(s2)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[283, 36, 42180])).
% 14.98/10.77 tff(42182,plain,
% 14.98/10.77 (((~![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)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42183,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42184,plain,
% 14.98/10.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42183, 42182])).
% 14.98/10.77 tff(42185,plain,
% 14.98/10.77 (xuntil2p8(s2) | (~until2p7(s2))),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42184, 37556, 42181])).
% 14.98/10.77 tff(42186,plain,
% 14.98/10.77 (~until2p7(s2)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42185, 42179])).
% 14.98/10.77 tff(42187,assumption,(~until2p7(s2)), introduced(assumption)).
% 14.98/10.77 tff(42188,assumption,(trans(s399, s2)), introduced(assumption)).
% 14.98/10.77 tff(42189,plain,
% 14.98/10.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s2)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42190,plain,
% 14.98/10.77 (((~trans(s399, s2)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s2)) <=> (until2p7(s2) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s2)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42191,plain,
% 14.98/10.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s2)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s2))))),
% 14.98/10.77 inference(monotonicity,[status(thm)],[42190])).
% 14.98/10.77 tff(42192,plain,
% 14.98/10.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s2)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s2)))),
% 14.98/10.77 inference(transitivity,[status(thm)],[42191, 42189])).
% 14.98/10.77 tff(42193,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s2)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s2))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42194,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s2))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42193, 42192])).
% 14.98/10.77 tff(42195,plain,
% 14.98/10.77 ($false),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42194, 37542, 42188, 38491, 42187, 40730])).
% 14.98/10.77 tff(42196,plain,((~trans(s399, s2)) | until2p7(s2) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.77 tff(42197,plain,
% 14.98/10.77 (~trans(s399, s2)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42196, 42186, 37532])).
% 14.98/10.77 tff(42198,assumption,(~until2p7(s368)), introduced(assumption)).
% 14.98/10.77 tff(42199,assumption,(trans(s399, s368)), introduced(assumption)).
% 14.98/10.77 tff(42200,plain,
% 14.98/10.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s368) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s368)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s368) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s368)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42201,plain,
% 14.98/10.77 (((~trans(s399, s368)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s368)) <=> (until2p7(s368) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s368)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42202,plain,
% 14.98/10.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s368)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s368) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s368))))),
% 14.98/10.77 inference(monotonicity,[status(thm)],[42201])).
% 14.98/10.77 tff(42203,plain,
% 14.98/10.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s368)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s368) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s368)))),
% 14.98/10.77 inference(transitivity,[status(thm)],[42202, 42200])).
% 14.98/10.77 tff(42204,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s368)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s368))),
% 14.98/10.77 inference(quant_inst,[status(thm)],[])).
% 14.98/10.77 tff(42205,plain,
% 14.98/10.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s368) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s368))),
% 14.98/10.77 inference(modus_ponens,[status(thm)],[42204, 42203])).
% 14.98/10.77 tff(42206,plain,
% 14.98/10.77 ($false),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42205, 37542, 42199, 38491, 42198, 40730])).
% 14.98/10.77 tff(42207,plain,((~trans(s399, s368)) | until2p7(s368) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.77 tff(42208,plain,
% 14.98/10.77 (~trans(s399, s368)),
% 14.98/10.77 inference(unit_resolution,[status(thm)],[42207, 37881, 37532])).
% 14.98/10.77 tff(42209,assumption,(~until2p7(s76)), introduced(assumption)).
% 14.98/10.77 tff(42210,assumption,(trans(s399, s76)), introduced(assumption)).
% 14.98/10.77 tff(42211,plain,
% 14.98/10.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s76)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42212,plain,
% 14.98/10.77 (((~trans(s399, s76)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s76)) <=> (until2p7(s76) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s76)))),
% 14.98/10.77 inference(rewrite,[status(thm)],[])).
% 14.98/10.77 tff(42213,plain,
% 14.98/10.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s76)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s76))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42212])).
% 14.98/10.78 tff(42214,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s76)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s76)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42213, 42211])).
% 14.98/10.78 tff(42215,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s76)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s76))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42216,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s76))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42215, 42214])).
% 14.98/10.78 tff(42217,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42216, 37542, 42210, 38491, 42209, 40730])).
% 14.98/10.78 tff(42218,plain,((~trans(s399, s76)) | until2p7(s76) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42219,plain,
% 14.98/10.78 (~trans(s399, s76)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42218, 41304, 37532])).
% 14.98/10.78 tff(42220,assumption,(~until2p7(s261)), introduced(assumption)).
% 14.98/10.78 tff(42221,assumption,(trans(s399, s261)), introduced(assumption)).
% 14.98/10.78 tff(42222,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s261) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s261)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s261)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42223,plain,
% 14.98/10.78 (((~trans(s399, s261)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s261)) <=> (until2p7(s261) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s261)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42224,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s261)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s261) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s261))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42223])).
% 14.98/10.78 tff(42225,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s261)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s261)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42224, 42222])).
% 14.98/10.78 tff(42226,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s261)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s261))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42227,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s261))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42226, 42225])).
% 14.98/10.78 tff(42228,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42227, 37542, 42221, 38491, 42220, 40730])).
% 14.98/10.78 tff(42229,plain,((~trans(s399, s261)) | until2p7(s261) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42230,plain,
% 14.98/10.78 (~trans(s399, s261)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42229, 39047, 37532])).
% 14.98/10.78 tff(42231,assumption,(~until2p7(s304)), introduced(assumption)).
% 14.98/10.78 tff(42232,assumption,(trans(s399, s304)), introduced(assumption)).
% 14.98/10.78 tff(42233,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s304) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s304)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s304) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s304)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42234,plain,
% 14.98/10.78 (((~trans(s399, s304)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s304)) <=> (until2p7(s304) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s304)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42235,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s304)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s304) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s304))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42234])).
% 14.98/10.78 tff(42236,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s304)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s304) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s304)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42235, 42233])).
% 14.98/10.78 tff(42237,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s304)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s304))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42238,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s304) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s304))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42237, 42236])).
% 14.98/10.78 tff(42239,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42238, 37542, 42232, 38491, 42231, 40730])).
% 14.98/10.78 tff(42240,plain,((~trans(s399, s304)) | until2p7(s304) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42241,plain,
% 14.98/10.78 (~trans(s399, s304)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42240, 38532, 37532])).
% 14.98/10.78 tff(42242,assumption,(~until2p7(s23)), introduced(assumption)).
% 14.98/10.78 tff(42243,assumption,(trans(s399, s23)), introduced(assumption)).
% 14.98/10.78 tff(42244,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s23)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42245,plain,
% 14.98/10.78 (((~trans(s399, s23)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s23)) <=> (until2p7(s23) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s23)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42246,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s23)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s23))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42245])).
% 14.98/10.78 tff(42247,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s23)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s23)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42246, 42244])).
% 14.98/10.78 tff(42248,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s23)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s23))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42249,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s23))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42248, 42247])).
% 14.98/10.78 tff(42250,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42249, 37542, 42243, 38491, 42242, 40730])).
% 14.98/10.78 tff(42251,plain,((~trans(s399, s23)) | until2p7(s23) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42252,plain,
% 14.98/10.78 (~trans(s399, s23)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42251, 41935, 37532])).
% 14.98/10.78 tff(42253,assumption,(~until2p7(s128)), introduced(assumption)).
% 14.98/10.78 tff(42254,assumption,(trans(s399, s128)), introduced(assumption)).
% 14.98/10.78 tff(42255,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s128) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s128)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42256,plain,
% 14.98/10.78 (((~trans(s399, s128)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s128)) <=> (until2p7(s128) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s128)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42257,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s128)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s128) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s128))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42256])).
% 14.98/10.78 tff(42258,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s128)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s128)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42257, 42255])).
% 14.98/10.78 tff(42259,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s128)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s128))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42260,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s128))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42259, 42258])).
% 14.98/10.78 tff(42261,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42260, 37542, 42254, 38491, 42253, 40730])).
% 14.98/10.78 tff(42262,plain,((~trans(s399, s128)) | until2p7(s128) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42263,plain,
% 14.98/10.78 (~trans(s399, s128)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42262, 40622, 37532])).
% 14.98/10.78 tff(42264,assumption,(~until2p7(s61)), introduced(assumption)).
% 14.98/10.78 tff(42265,assumption,(trans(s399, s61)), introduced(assumption)).
% 14.98/10.78 tff(42266,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s61)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42267,plain,
% 14.98/10.78 (((~trans(s399, s61)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s61)) <=> (until2p7(s61) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s61)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42268,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s61)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s61))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42267])).
% 14.98/10.78 tff(42269,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s61)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s61)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42268, 42266])).
% 14.98/10.78 tff(42270,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s61)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s61))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42271,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s61))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42270, 42269])).
% 14.98/10.78 tff(42272,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42271, 37542, 42265, 38491, 42264, 40730])).
% 14.98/10.78 tff(42273,plain,((~trans(s399, s61)) | until2p7(s61) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42274,plain,
% 14.98/10.78 (~trans(s399, s61)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42273, 41484, 37532])).
% 14.98/10.78 tff(42275,assumption,(~until2p7(s90)), introduced(assumption)).
% 14.98/10.78 tff(42276,assumption,(trans(s399, s90)), introduced(assumption)).
% 14.98/10.78 tff(42277,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s90)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42278,plain,
% 14.98/10.78 (((~trans(s399, s90)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s90)) <=> (until2p7(s90) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s90)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42279,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s90)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s90))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42278])).
% 14.98/10.78 tff(42280,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s90)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s90)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42279, 42277])).
% 14.98/10.78 tff(42281,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s90)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s90))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42282,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s90))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42281, 42280])).
% 14.98/10.78 tff(42283,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42282, 37542, 42276, 38491, 42275, 40730])).
% 14.98/10.78 tff(42284,plain,((~trans(s399, s90)) | until2p7(s90) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42285,plain,
% 14.98/10.78 (~trans(s399, s90)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42284, 41137, 37532])).
% 14.98/10.78 tff(42286,assumption,(~until2p7(s26)), introduced(assumption)).
% 14.98/10.78 tff(42287,assumption,(trans(s399, s26)), introduced(assumption)).
% 14.98/10.78 tff(42288,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s26)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42289,plain,
% 14.98/10.78 (((~trans(s399, s26)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s26)) <=> (until2p7(s26) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s26)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42290,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s26)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s26))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42289])).
% 14.98/10.78 tff(42291,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s26)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s26)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42290, 42288])).
% 14.98/10.78 tff(42292,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s26)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s26))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42293,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s26))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42292, 42291])).
% 14.98/10.78 tff(42294,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42293, 37542, 42287, 38491, 42286, 40730])).
% 14.98/10.78 tff(42295,plain,((~trans(s399, s26)) | until2p7(s26) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42296,plain,
% 14.98/10.78 (~trans(s399, s26)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42295, 41899, 37532])).
% 14.98/10.78 tff(42297,assumption,(~until2p7(s140)), introduced(assumption)).
% 14.98/10.78 tff(42298,assumption,(trans(s399, s140)), introduced(assumption)).
% 14.98/10.78 tff(42299,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s140) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s140)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42300,plain,
% 14.98/10.78 (((~trans(s399, s140)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s140)) <=> (until2p7(s140) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s140)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42301,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s140)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s140) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s140))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42300])).
% 14.98/10.78 tff(42302,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s140)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s140)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42301, 42299])).
% 14.98/10.78 tff(42303,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s140)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s140))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42304,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s140))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42303, 42302])).
% 14.98/10.78 tff(42305,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42304, 37542, 42298, 38491, 42297, 40730])).
% 14.98/10.78 tff(42306,plain,((~trans(s399, s140)) | until2p7(s140) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42307,plain,
% 14.98/10.78 (~trans(s399, s140)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42306, 40481, 37532])).
% 14.98/10.78 tff(42308,assumption,(~until2p7(s392)), introduced(assumption)).
% 14.98/10.78 tff(42309,assumption,(trans(s399, s392)), introduced(assumption)).
% 14.98/10.78 tff(42310,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s392) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s392)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s392) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s392)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42311,plain,
% 14.98/10.78 (((~trans(s399, s392)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s392)) <=> (until2p7(s392) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s392)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42312,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s392)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s392) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s392))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42311])).
% 14.98/10.78 tff(42313,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s392)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s392) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s392)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42312, 42310])).
% 14.98/10.78 tff(42314,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s392)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s392))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42315,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s392) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s392))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42314, 42313])).
% 14.98/10.78 tff(42316,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42315, 37542, 42309, 38491, 42308, 40730])).
% 14.98/10.78 tff(42317,plain,((~trans(s399, s392)) | until2p7(s392) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42318,plain,
% 14.98/10.78 (~trans(s399, s392)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42317, 37641, 37532])).
% 14.98/10.78 tff(42319,assumption,(~until2p7(s98)), introduced(assumption)).
% 14.98/10.78 tff(42320,assumption,(trans(s399, s98)), introduced(assumption)).
% 14.98/10.78 tff(42321,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s98)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42322,plain,
% 14.98/10.78 (((~trans(s399, s98)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s98)) <=> (until2p7(s98) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s98)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42323,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s98)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s98))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42322])).
% 14.98/10.78 tff(42324,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s98)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s98)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42323, 42321])).
% 14.98/10.78 tff(42325,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s98)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s98))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42326,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s98))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42325, 42324])).
% 14.98/10.78 tff(42327,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42326, 37542, 42320, 38491, 42319, 40730])).
% 14.98/10.78 tff(42328,plain,((~trans(s399, s98)) | until2p7(s98) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42329,plain,
% 14.98/10.78 (~trans(s399, s98)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42328, 41031, 37532])).
% 14.98/10.78 tff(42330,assumption,(~until2p7(s64)), introduced(assumption)).
% 14.98/10.78 tff(42331,assumption,(trans(s399, s64)), introduced(assumption)).
% 14.98/10.78 tff(42332,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s64)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42333,plain,
% 14.98/10.78 (((~trans(s399, s64)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s64)) <=> (until2p7(s64) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s64)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42334,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s64)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s64))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42333])).
% 14.98/10.78 tff(42335,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s64)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s64)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42334, 42332])).
% 14.98/10.78 tff(42336,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s64)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s64))),
% 14.98/10.78 inference(quant_inst,[status(thm)],[])).
% 14.98/10.78 tff(42337,plain,
% 14.98/10.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s64))),
% 14.98/10.78 inference(modus_ponens,[status(thm)],[42336, 42335])).
% 14.98/10.78 tff(42338,plain,
% 14.98/10.78 ($false),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42337, 37542, 42331, 38491, 42330, 40730])).
% 14.98/10.78 tff(42339,plain,((~trans(s399, s64)) | until2p7(s64) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.78 tff(42340,plain,
% 14.98/10.78 (~trans(s399, s64)),
% 14.98/10.78 inference(unit_resolution,[status(thm)],[42339, 41448, 37532])).
% 14.98/10.78 tff(42341,assumption,(~until2p7(s242)), introduced(assumption)).
% 14.98/10.78 tff(42342,assumption,(trans(s399, s242)), introduced(assumption)).
% 14.98/10.78 tff(42343,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s242) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s242)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s242)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42344,plain,
% 14.98/10.78 (((~trans(s399, s242)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s242)) <=> (until2p7(s242) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s242)))),
% 14.98/10.78 inference(rewrite,[status(thm)],[])).
% 14.98/10.78 tff(42345,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s242)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s242) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s242))))),
% 14.98/10.78 inference(monotonicity,[status(thm)],[42344])).
% 14.98/10.78 tff(42346,plain,
% 14.98/10.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s242)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s242)))),
% 14.98/10.78 inference(transitivity,[status(thm)],[42345, 42343])).
% 14.98/10.79 tff(42347,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s242)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s242))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42348,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s242))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42347, 42346])).
% 14.98/10.79 tff(42349,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42348, 37542, 42342, 38491, 42341, 40730])).
% 14.98/10.79 tff(42350,plain,((~trans(s399, s242)) | until2p7(s242) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42351,plain,
% 14.98/10.79 (~trans(s399, s242)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42350, 39275, 37532])).
% 14.98/10.79 tff(42352,assumption,(~until2p7(s301)), introduced(assumption)).
% 14.98/10.79 tff(42353,assumption,(trans(s399, s301)), introduced(assumption)).
% 14.98/10.79 tff(42354,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s301) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s301)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s301) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s301)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42355,plain,
% 14.98/10.79 (((~trans(s399, s301)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s301)) <=> (until2p7(s301) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s301)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42356,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s301)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s301) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s301))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42355])).
% 14.98/10.79 tff(42357,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s301)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s301) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s301)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42356, 42354])).
% 14.98/10.79 tff(42358,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s301)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s301))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42359,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s301) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s301))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42358, 42357])).
% 14.98/10.79 tff(42360,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42359, 37542, 42353, 38491, 42352, 40730])).
% 14.98/10.79 tff(42361,plain,((~trans(s399, s301)) | until2p7(s301) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42362,plain,
% 14.98/10.79 (~trans(s399, s301)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42361, 38568, 37532])).
% 14.98/10.79 tff(42363,assumption,(~until2p7(s290)), introduced(assumption)).
% 14.98/10.79 tff(42364,assumption,(trans(s399, s290)), introduced(assumption)).
% 14.98/10.79 tff(42365,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s290) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s290)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s290)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42366,plain,
% 14.98/10.79 (((~trans(s399, s290)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s290)) <=> (until2p7(s290) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s290)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42367,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s290)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s290) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s290))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42366])).
% 14.98/10.79 tff(42368,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s290)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s290)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42367, 42365])).
% 14.98/10.79 tff(42369,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s290)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s290))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42370,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s290))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42369, 42368])).
% 14.98/10.79 tff(42371,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42370, 37542, 42364, 38491, 42363, 40730])).
% 14.98/10.79 tff(42372,plain,((~trans(s399, s290)) | until2p7(s290) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42373,plain,
% 14.98/10.79 (~trans(s399, s290)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42372, 38700, 37532])).
% 14.98/10.79 tff(42374,assumption,(~until2p7(s153)), introduced(assumption)).
% 14.98/10.79 tff(42375,assumption,(trans(s399, s153)), introduced(assumption)).
% 14.98/10.79 tff(42376,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s153) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s153)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42377,plain,
% 14.98/10.79 (((~trans(s399, s153)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s153)) <=> (until2p7(s153) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s153)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42378,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s153)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s153) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s153))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42377])).
% 14.98/10.79 tff(42379,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s153)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s153)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42378, 42376])).
% 14.98/10.79 tff(42380,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s153)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s153))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42381,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s153))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42380, 42379])).
% 14.98/10.79 tff(42382,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42381, 37542, 42375, 38491, 42374, 40730])).
% 14.98/10.79 tff(42383,plain,((~trans(s399, s153)) | until2p7(s153) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42384,plain,
% 14.98/10.79 (~trans(s399, s153)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42383, 40329, 37532])).
% 14.98/10.79 tff(42385,assumption,(~until2p7(s16)), introduced(assumption)).
% 14.98/10.79 tff(42386,assumption,(trans(s399, s16)), introduced(assumption)).
% 14.98/10.79 tff(42387,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s16)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42388,plain,
% 14.98/10.79 (((~trans(s399, s16)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s16)) <=> (until2p7(s16) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s16)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42389,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s16)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s16))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42388])).
% 14.98/10.79 tff(42390,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s16)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s16)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42389, 42387])).
% 14.98/10.79 tff(42391,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s16)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s16))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42392,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s16))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42391, 42390])).
% 14.98/10.79 tff(42393,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42392, 37542, 42386, 38491, 42385, 40730])).
% 14.98/10.79 tff(42394,plain,((~trans(s399, s16)) | until2p7(s16) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42395,plain,
% 14.98/10.79 (~trans(s399, s16)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42394, 42019, 37532])).
% 14.98/10.79 tff(42396,assumption,(~until2p7(s129)), introduced(assumption)).
% 14.98/10.79 tff(42397,assumption,(trans(s399, s129)), introduced(assumption)).
% 14.98/10.79 tff(42398,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s129) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s129)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42399,plain,
% 14.98/10.79 (((~trans(s399, s129)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s129)) <=> (until2p7(s129) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s129)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42400,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s129)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s129) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s129))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42399])).
% 14.98/10.79 tff(42401,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s129)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s129)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42400, 42398])).
% 14.98/10.79 tff(42402,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s129)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s129))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42403,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s129))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42402, 42401])).
% 14.98/10.79 tff(42404,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42403, 37542, 42397, 38491, 42396, 40730])).
% 14.98/10.79 tff(42405,plain,((~trans(s399, s129)) | until2p7(s129) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42406,plain,
% 14.98/10.79 (~trans(s399, s129)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42405, 40612, 37532])).
% 14.98/10.79 tff(42407,assumption,(~until2p7(s115)), introduced(assumption)).
% 14.98/10.79 tff(42408,assumption,(trans(s399, s115)), introduced(assumption)).
% 14.98/10.79 tff(42409,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s115) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s115)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42410,plain,
% 14.98/10.79 (((~trans(s399, s115)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s115)) <=> (until2p7(s115) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s115)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42411,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s115)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s115) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s115))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42410])).
% 14.98/10.79 tff(42412,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s115)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s115)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42411, 42409])).
% 14.98/10.79 tff(42413,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s115)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s115))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42414,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s115))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42413, 42412])).
% 14.98/10.79 tff(42415,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42414, 37542, 42408, 38491, 42407, 40730])).
% 14.98/10.79 tff(42416,plain,((~trans(s399, s115)) | until2p7(s115) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42417,plain,
% 14.98/10.79 (~trans(s399, s115)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42416, 40833, 37532])).
% 14.98/10.79 tff(42418,assumption,(~until2p7(s48)), introduced(assumption)).
% 14.98/10.79 tff(42419,assumption,(trans(s399, s48)), introduced(assumption)).
% 14.98/10.79 tff(42420,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s48)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42421,plain,
% 14.98/10.79 (((~trans(s399, s48)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s48)) <=> (until2p7(s48) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s48)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42422,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s48)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s48))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42421])).
% 14.98/10.79 tff(42423,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s48)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s48)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42422, 42420])).
% 14.98/10.79 tff(42424,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s48)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s48))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42425,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s48))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42424, 42423])).
% 14.98/10.79 tff(42426,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42425, 37542, 42419, 38491, 42418, 40730])).
% 14.98/10.79 tff(42427,plain,((~trans(s399, s48)) | until2p7(s48) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42428,plain,
% 14.98/10.79 (~trans(s399, s48)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42427, 41640, 37532])).
% 14.98/10.79 tff(42429,assumption,(~until2p7(s285)), introduced(assumption)).
% 14.98/10.79 tff(42430,assumption,(trans(s399, s285)), introduced(assumption)).
% 14.98/10.79 tff(42431,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s285) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s285)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s285)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42432,plain,
% 14.98/10.79 (((~trans(s399, s285)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s285)) <=> (until2p7(s285) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s285)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42433,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s285)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s285) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s285))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42432])).
% 14.98/10.79 tff(42434,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s285)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s285)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42433, 42431])).
% 14.98/10.79 tff(42435,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s285)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s285))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42436,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s285))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42435, 42434])).
% 14.98/10.79 tff(42437,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42436, 37542, 42430, 38491, 42429, 40730])).
% 14.98/10.79 tff(42438,plain,((~trans(s399, s285)) | until2p7(s285) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42439,plain,
% 14.98/10.79 (~trans(s399, s285)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42438, 38759, 37532])).
% 14.98/10.79 tff(42440,assumption,(~until2p7(s235)), introduced(assumption)).
% 14.98/10.79 tff(42441,assumption,(trans(s399, s235)), introduced(assumption)).
% 14.98/10.79 tff(42442,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s235) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s235)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s235)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42443,plain,
% 14.98/10.79 (((~trans(s399, s235)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s235)) <=> (until2p7(s235) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s235)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42444,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s235)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s235) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s235))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42443])).
% 14.98/10.79 tff(42445,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s235)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s235)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42444, 42442])).
% 14.98/10.79 tff(42446,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s235)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s235))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42447,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s235))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42446, 42445])).
% 14.98/10.79 tff(42448,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42447, 37542, 42441, 38491, 42440, 40730])).
% 14.98/10.79 tff(42449,plain,((~trans(s399, s235)) | until2p7(s235) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42450,plain,
% 14.98/10.79 (~trans(s399, s235)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42449, 39359, 37532])).
% 14.98/10.79 tff(42451,assumption,(~until2p7(s178)), introduced(assumption)).
% 14.98/10.79 tff(42452,assumption,(trans(s399, s178)), introduced(assumption)).
% 14.98/10.79 tff(42453,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s178) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s178)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42454,plain,
% 14.98/10.79 (((~trans(s399, s178)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s178)) <=> (until2p7(s178) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s178)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42455,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s178)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s178) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s178))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42454])).
% 14.98/10.79 tff(42456,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s178)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s178)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42455, 42453])).
% 14.98/10.79 tff(42457,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s178)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s178))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42458,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s178))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42457, 42456])).
% 14.98/10.79 tff(42459,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42458, 37542, 42452, 38491, 42451, 40730])).
% 14.98/10.79 tff(42460,plain,((~trans(s399, s178)) | until2p7(s178) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42461,plain,
% 14.98/10.79 (~trans(s399, s178)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42460, 40036, 37532])).
% 14.98/10.79 tff(42462,assumption,(~until2p7(s218)), introduced(assumption)).
% 14.98/10.79 tff(42463,assumption,(trans(s399, s218)), introduced(assumption)).
% 14.98/10.79 tff(42464,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s218) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s218)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s218)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42465,plain,
% 14.98/10.79 (((~trans(s399, s218)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s218)) <=> (until2p7(s218) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s218)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42466,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s218)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s218) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s218))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42465])).
% 14.98/10.79 tff(42467,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s218)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s218)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42466, 42464])).
% 14.98/10.79 tff(42468,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s218)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s218))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42469,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s218))),
% 14.98/10.79 inference(modus_ponens,[status(thm)],[42468, 42467])).
% 14.98/10.79 tff(42470,plain,
% 14.98/10.79 ($false),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42469, 37542, 42463, 38491, 42462, 40730])).
% 14.98/10.79 tff(42471,plain,((~trans(s399, s218)) | until2p7(s218) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.79 tff(42472,plain,
% 14.98/10.79 (~trans(s399, s218)),
% 14.98/10.79 inference(unit_resolution,[status(thm)],[42471, 39563, 37532])).
% 14.98/10.79 tff(42473,assumption,(~until2p7(s266)), introduced(assumption)).
% 14.98/10.79 tff(42474,assumption,(trans(s399, s266)), introduced(assumption)).
% 14.98/10.79 tff(42475,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s266) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s266)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s266)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42476,plain,
% 14.98/10.79 (((~trans(s399, s266)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s266)) <=> (until2p7(s266) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s266)))),
% 14.98/10.79 inference(rewrite,[status(thm)],[])).
% 14.98/10.79 tff(42477,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s266)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s266) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s266))))),
% 14.98/10.79 inference(monotonicity,[status(thm)],[42476])).
% 14.98/10.79 tff(42478,plain,
% 14.98/10.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s266)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s266)))),
% 14.98/10.79 inference(transitivity,[status(thm)],[42477, 42475])).
% 14.98/10.79 tff(42479,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s266)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s266))),
% 14.98/10.79 inference(quant_inst,[status(thm)],[])).
% 14.98/10.79 tff(42480,plain,
% 14.98/10.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s266))),
% 14.98/10.80 inference(modus_ponens,[status(thm)],[42479, 42478])).
% 14.98/10.80 tff(42481,plain,
% 14.98/10.80 ($false),
% 14.98/10.80 inference(unit_resolution,[status(thm)],[42480, 37542, 42474, 38491, 42473, 40730])).
% 14.98/10.80 tff(42482,plain,((~trans(s399, s266)) | until2p7(s266) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.80 tff(42483,plain,
% 14.98/10.80 (~trans(s399, s266)),
% 14.98/10.80 inference(unit_resolution,[status(thm)],[42482, 38987, 37532])).
% 14.98/10.80 tff(42484,assumption,(~until2p7(s311)), introduced(assumption)).
% 14.98/10.80 tff(42485,assumption,(trans(s399, s311)), introduced(assumption)).
% 14.98/10.80 tff(42486,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s311) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s311)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s311) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s311)))),
% 14.98/10.80 inference(rewrite,[status(thm)],[])).
% 14.98/10.80 tff(42487,plain,
% 14.98/10.80 (((~trans(s399, s311)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s311)) <=> (until2p7(s311) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s311)))),
% 14.98/10.80 inference(rewrite,[status(thm)],[])).
% 14.98/10.80 tff(42488,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s311)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s311) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s311))))),
% 14.98/10.80 inference(monotonicity,[status(thm)],[42487])).
% 14.98/10.80 tff(42489,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s311)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s311) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s311)))),
% 14.98/10.80 inference(transitivity,[status(thm)],[42488, 42486])).
% 14.98/10.80 tff(42490,plain,
% 14.98/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s311)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s311))),
% 14.98/10.80 inference(quant_inst,[status(thm)],[])).
% 14.98/10.80 tff(42491,plain,
% 14.98/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s311) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s311))),
% 14.98/10.80 inference(modus_ponens,[status(thm)],[42490, 42489])).
% 14.98/10.80 tff(42492,plain,
% 14.98/10.80 ($false),
% 14.98/10.80 inference(unit_resolution,[status(thm)],[42491, 37542, 42485, 38491, 42484, 40730])).
% 14.98/10.80 tff(42493,plain,((~trans(s399, s311)) | until2p7(s311) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.80 tff(42494,plain,
% 14.98/10.80 (~trans(s399, s311)),
% 14.98/10.80 inference(unit_resolution,[status(thm)],[42493, 38451, 37532])).
% 14.98/10.80 tff(42495,assumption,(~until2p7(s161)), introduced(assumption)).
% 14.98/10.80 tff(42496,assumption,(trans(s399, s161)), introduced(assumption)).
% 14.98/10.80 tff(42497,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s161) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s161)))),
% 14.98/10.80 inference(rewrite,[status(thm)],[])).
% 14.98/10.80 tff(42498,plain,
% 14.98/10.80 (((~trans(s399, s161)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s161)) <=> (until2p7(s161) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s161)))),
% 14.98/10.80 inference(rewrite,[status(thm)],[])).
% 14.98/10.80 tff(42499,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s161)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s161) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s161))))),
% 14.98/10.80 inference(monotonicity,[status(thm)],[42498])).
% 14.98/10.80 tff(42500,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s161)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s161)))),
% 14.98/10.80 inference(transitivity,[status(thm)],[42499, 42497])).
% 14.98/10.80 tff(42501,plain,
% 14.98/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s161)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s161))),
% 14.98/10.80 inference(quant_inst,[status(thm)],[])).
% 14.98/10.80 tff(42502,plain,
% 14.98/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s161))),
% 14.98/10.80 inference(modus_ponens,[status(thm)],[42501, 42500])).
% 14.98/10.80 tff(42503,plain,
% 14.98/10.80 ($false),
% 14.98/10.80 inference(unit_resolution,[status(thm)],[42502, 37542, 42496, 38491, 42495, 40730])).
% 14.98/10.80 tff(42504,plain,((~trans(s399, s161)) | until2p7(s161) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.80 tff(42505,plain,
% 14.98/10.80 (~trans(s399, s161)),
% 14.98/10.80 inference(unit_resolution,[status(thm)],[42504, 40235, 37532])).
% 14.98/10.80 tff(42506,assumption,(~until2p7(s239)), introduced(assumption)).
% 14.98/10.80 tff(42507,assumption,(trans(s399, s239)), introduced(assumption)).
% 14.98/10.80 tff(42508,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s239) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s239)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s239)))),
% 14.98/10.80 inference(rewrite,[status(thm)],[])).
% 14.98/10.80 tff(42509,plain,
% 14.98/10.80 (((~trans(s399, s239)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s239)) <=> (until2p7(s239) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s239)))),
% 14.98/10.80 inference(rewrite,[status(thm)],[])).
% 14.98/10.80 tff(42510,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s239)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s239) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s239))))),
% 14.98/10.80 inference(monotonicity,[status(thm)],[42509])).
% 14.98/10.80 tff(42511,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s239)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s239)))),
% 14.98/10.80 inference(transitivity,[status(thm)],[42510, 42508])).
% 14.98/10.80 tff(42512,plain,
% 14.98/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s239)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s239))),
% 14.98/10.80 inference(quant_inst,[status(thm)],[])).
% 14.98/10.80 tff(42513,plain,
% 14.98/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s239))),
% 14.98/10.80 inference(modus_ponens,[status(thm)],[42512, 42511])).
% 14.98/10.80 tff(42514,plain,
% 14.98/10.80 ($false),
% 14.98/10.80 inference(unit_resolution,[status(thm)],[42513, 37542, 42507, 38491, 42506, 40730])).
% 14.98/10.80 tff(42515,plain,((~trans(s399, s239)) | until2p7(s239) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 14.98/10.80 tff(42516,plain,
% 14.98/10.80 (~trans(s399, s239)),
% 14.98/10.80 inference(unit_resolution,[status(thm)],[42515, 39311, 37532])).
% 14.98/10.80 tff(42517,assumption,(~until2p7(s39)), introduced(assumption)).
% 14.98/10.80 tff(42518,assumption,(trans(s399, s39)), introduced(assumption)).
% 14.98/10.80 tff(42519,plain,
% 14.98/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s39)))),
% 14.98/10.80 inference(rewrite,[status(thm)],[])).
% 14.98/10.80 tff(42520,plain,
% 14.98/10.80 (((~trans(s399, s39)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s39)) <=> (until2p7(s39) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s39)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42521,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s39)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s39))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42520])).
% 15.09/10.80 tff(42522,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s39)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s39)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42521, 42519])).
% 15.09/10.80 tff(42523,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s39)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s39))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42524,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s39))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42523, 42522])).
% 15.09/10.80 tff(42525,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42524, 37542, 42518, 38491, 42517, 40730])).
% 15.09/10.80 tff(42526,plain,((~trans(s399, s39)) | until2p7(s39) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42527,plain,
% 15.09/10.80 (~trans(s399, s39)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42526, 41746, 37532])).
% 15.09/10.80 tff(42528,assumption,(~until2p7(s282)), introduced(assumption)).
% 15.09/10.80 tff(42529,assumption,(trans(s399, s282)), introduced(assumption)).
% 15.09/10.80 tff(42530,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s282) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s282)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s282)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42531,plain,
% 15.09/10.80 (((~trans(s399, s282)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s282)) <=> (until2p7(s282) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s282)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42532,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s282)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s282) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s282))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42531])).
% 15.09/10.80 tff(42533,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s282)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s282)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42532, 42530])).
% 15.09/10.80 tff(42534,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s282)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s282))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42535,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s282))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42534, 42533])).
% 15.09/10.80 tff(42536,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42535, 37542, 42529, 38491, 42528, 40730])).
% 15.09/10.80 tff(42537,plain,((~trans(s399, s282)) | until2p7(s282) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42538,plain,
% 15.09/10.80 (~trans(s399, s282)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42537, 38795, 37532])).
% 15.09/10.80 tff(42539,assumption,(~until2p7(s234)), introduced(assumption)).
% 15.09/10.80 tff(42540,assumption,(trans(s399, s234)), introduced(assumption)).
% 15.09/10.80 tff(42541,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s234) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s234)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s234)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42542,plain,
% 15.09/10.80 (((~trans(s399, s234)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s234)) <=> (until2p7(s234) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s234)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42543,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s234)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s234) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s234))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42542])).
% 15.09/10.80 tff(42544,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s234)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s234)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42543, 42541])).
% 15.09/10.80 tff(42545,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s234)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s234))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42546,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s234))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42545, 42544])).
% 15.09/10.80 tff(42547,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42546, 37542, 42540, 38491, 42539, 40730])).
% 15.09/10.80 tff(42548,plain,((~trans(s399, s234)) | until2p7(s234) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42549,plain,
% 15.09/10.80 (~trans(s399, s234)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42548, 39371, 37532])).
% 15.09/10.80 tff(42550,assumption,(~until2p7(s246)), introduced(assumption)).
% 15.09/10.80 tff(42551,assumption,(trans(s399, s246)), introduced(assumption)).
% 15.09/10.80 tff(42552,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s246) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s246)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s246)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42553,plain,
% 15.09/10.80 (((~trans(s399, s246)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s246)) <=> (until2p7(s246) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s246)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42554,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s246)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s246) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s246))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42553])).
% 15.09/10.80 tff(42555,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s246)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s246)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42554, 42552])).
% 15.09/10.80 tff(42556,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s246)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s246))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42557,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s246))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42556, 42555])).
% 15.09/10.80 tff(42558,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42557, 37542, 42551, 38491, 42550, 40730])).
% 15.09/10.80 tff(42559,plain,((~trans(s399, s246)) | until2p7(s246) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42560,plain,
% 15.09/10.80 (~trans(s399, s246)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42559, 39227, 37532])).
% 15.09/10.80 tff(42561,assumption,(~until2p7(s46)), introduced(assumption)).
% 15.09/10.80 tff(42562,assumption,(trans(s399, s46)), introduced(assumption)).
% 15.09/10.80 tff(42563,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s46)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42564,plain,
% 15.09/10.80 (((~trans(s399, s46)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s46)) <=> (until2p7(s46) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s46)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42565,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s46)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s46))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42564])).
% 15.09/10.80 tff(42566,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s46)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s46)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42565, 42563])).
% 15.09/10.80 tff(42567,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s46)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s46))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42568,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s46))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42567, 42566])).
% 15.09/10.80 tff(42569,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42568, 37542, 42562, 38491, 42561, 40730])).
% 15.09/10.80 tff(42570,plain,((~trans(s399, s46)) | until2p7(s46) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42571,plain,
% 15.09/10.80 (~trans(s399, s46)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42570, 41664, 37532])).
% 15.09/10.80 tff(42572,assumption,(~until2p7(s109)), introduced(assumption)).
% 15.09/10.80 tff(42573,assumption,(trans(s399, s109)), introduced(assumption)).
% 15.09/10.80 tff(42574,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s109) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s109)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42575,plain,
% 15.09/10.80 (((~trans(s399, s109)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s109)) <=> (until2p7(s109) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s109)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42576,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s109)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s109) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s109))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42575])).
% 15.09/10.80 tff(42577,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s109)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s109)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42576, 42574])).
% 15.09/10.80 tff(42578,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s109)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s109))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42579,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s109))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42578, 42577])).
% 15.09/10.80 tff(42580,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42579, 37542, 42573, 38491, 42572, 40730])).
% 15.09/10.80 tff(42581,plain,((~trans(s399, s109)) | until2p7(s109) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42582,plain,
% 15.09/10.80 (~trans(s399, s109)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42581, 40904, 37532])).
% 15.09/10.80 tff(42583,assumption,(~until2p7(s324)), introduced(assumption)).
% 15.09/10.80 tff(42584,assumption,(trans(s399, s324)), introduced(assumption)).
% 15.09/10.80 tff(42585,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s324) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s324)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s324) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s324)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42586,plain,
% 15.09/10.80 (((~trans(s399, s324)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s324)) <=> (until2p7(s324) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s324)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42587,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s324)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s324) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s324))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42586])).
% 15.09/10.80 tff(42588,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s324)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s324) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s324)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42587, 42585])).
% 15.09/10.80 tff(42589,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s324)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s324))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42590,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s324) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s324))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42589, 42588])).
% 15.09/10.80 tff(42591,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42590, 37542, 42584, 38491, 42583, 40730])).
% 15.09/10.80 tff(42592,plain,((~trans(s399, s324)) | until2p7(s324) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42593,plain,
% 15.09/10.80 (~trans(s399, s324)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42592, 38321, 37532])).
% 15.09/10.80 tff(42594,assumption,(~until2p7(s217)), introduced(assumption)).
% 15.09/10.80 tff(42595,assumption,(trans(s399, s217)), introduced(assumption)).
% 15.09/10.80 tff(42596,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s217) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s217)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s217)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42597,plain,
% 15.09/10.80 (((~trans(s399, s217)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s217)) <=> (until2p7(s217) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s217)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42598,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s217)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s217) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s217))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42597])).
% 15.09/10.80 tff(42599,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s217)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s217)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42598, 42596])).
% 15.09/10.80 tff(42600,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s217)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s217))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42601,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s217))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42600, 42599])).
% 15.09/10.80 tff(42602,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42601, 37542, 42595, 38491, 42594, 40730])).
% 15.09/10.80 tff(42603,plain,((~trans(s399, s217)) | until2p7(s217) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42604,plain,
% 15.09/10.80 (~trans(s399, s217)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42603, 39573, 37532])).
% 15.09/10.80 tff(42605,assumption,(~until2p7(s303)), introduced(assumption)).
% 15.09/10.80 tff(42606,assumption,(trans(s399, s303)), introduced(assumption)).
% 15.09/10.80 tff(42607,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s303) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s303)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s303)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42608,plain,
% 15.09/10.80 (((~trans(s399, s303)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s303)) <=> (until2p7(s303) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s303)))),
% 15.09/10.80 inference(rewrite,[status(thm)],[])).
% 15.09/10.80 tff(42609,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s303)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s303) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s303))))),
% 15.09/10.80 inference(monotonicity,[status(thm)],[42608])).
% 15.09/10.80 tff(42610,plain,
% 15.09/10.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s303)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s303)))),
% 15.09/10.80 inference(transitivity,[status(thm)],[42609, 42607])).
% 15.09/10.80 tff(42611,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s303)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s303))),
% 15.09/10.80 inference(quant_inst,[status(thm)],[])).
% 15.09/10.80 tff(42612,plain,
% 15.09/10.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s303))),
% 15.09/10.80 inference(modus_ponens,[status(thm)],[42611, 42610])).
% 15.09/10.80 tff(42613,plain,
% 15.09/10.80 ($false),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42612, 37542, 42606, 38491, 42605, 40730])).
% 15.09/10.80 tff(42614,plain,((~trans(s399, s303)) | until2p7(s303) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.80 tff(42615,plain,
% 15.09/10.80 (~trans(s399, s303)),
% 15.09/10.80 inference(unit_resolution,[status(thm)],[42614, 38544, 37532])).
% 15.09/10.81 tff(42616,assumption,(~until2p7(s387)), introduced(assumption)).
% 15.09/10.81 tff(42617,assumption,(trans(s399, s387)), introduced(assumption)).
% 15.09/10.81 tff(42618,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s387) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s387)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s387) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s387)))),
% 15.09/10.81 inference(rewrite,[status(thm)],[])).
% 15.09/10.81 tff(42619,plain,
% 15.09/10.81 (((~trans(s399, s387)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s387)) <=> (until2p7(s387) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s387)))),
% 15.09/10.81 inference(rewrite,[status(thm)],[])).
% 15.09/10.81 tff(42620,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s387)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s387) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s387))))),
% 15.09/10.81 inference(monotonicity,[status(thm)],[42619])).
% 15.09/10.81 tff(42621,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s387)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s387) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s387)))),
% 15.09/10.81 inference(transitivity,[status(thm)],[42620, 42618])).
% 15.09/10.81 tff(42622,plain,
% 15.09/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s387)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s387))),
% 15.09/10.81 inference(quant_inst,[status(thm)],[])).
% 15.09/10.81 tff(42623,plain,
% 15.09/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s387) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s387))),
% 15.09/10.81 inference(modus_ponens,[status(thm)],[42622, 42621])).
% 15.09/10.81 tff(42624,plain,
% 15.09/10.81 ($false),
% 15.09/10.81 inference(unit_resolution,[status(thm)],[42623, 37542, 42617, 38491, 42616, 40730])).
% 15.09/10.81 tff(42625,plain,((~trans(s399, s387)) | until2p7(s387) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.81 tff(42626,plain,
% 15.09/10.81 (~trans(s399, s387)),
% 15.09/10.81 inference(unit_resolution,[status(thm)],[42625, 37691, 37532])).
% 15.09/10.81 tff(42627,assumption,(~until2p7(s258)), introduced(assumption)).
% 15.09/10.81 tff(42628,assumption,(trans(s399, s258)), introduced(assumption)).
% 15.09/10.81 tff(42629,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s258) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s258)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s258)))),
% 15.09/10.81 inference(rewrite,[status(thm)],[])).
% 15.09/10.81 tff(42630,plain,
% 15.09/10.81 (((~trans(s399, s258)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s258)) <=> (until2p7(s258) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s258)))),
% 15.09/10.81 inference(rewrite,[status(thm)],[])).
% 15.09/10.81 tff(42631,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s258)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s258) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s258))))),
% 15.09/10.81 inference(monotonicity,[status(thm)],[42630])).
% 15.09/10.81 tff(42632,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s258)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s258)))),
% 15.09/10.81 inference(transitivity,[status(thm)],[42631, 42629])).
% 15.09/10.81 tff(42633,plain,
% 15.09/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s258)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s258))),
% 15.09/10.81 inference(quant_inst,[status(thm)],[])).
% 15.09/10.81 tff(42634,plain,
% 15.09/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s258))),
% 15.09/10.81 inference(modus_ponens,[status(thm)],[42633, 42632])).
% 15.09/10.81 tff(42635,plain,
% 15.09/10.81 ($false),
% 15.09/10.81 inference(unit_resolution,[status(thm)],[42634, 37542, 42628, 38491, 42627, 40730])).
% 15.09/10.81 tff(42636,plain,((~trans(s399, s258)) | until2p7(s258) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.81 tff(42637,plain,
% 15.09/10.81 (~trans(s399, s258)),
% 15.09/10.81 inference(unit_resolution,[status(thm)],[42636, 39083, 37532])).
% 15.09/10.81 tff(42638,assumption,(~until2p7(s35)), introduced(assumption)).
% 15.09/10.81 tff(42639,assumption,(trans(s399, s35)), introduced(assumption)).
% 15.09/10.81 tff(42640,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s35)))),
% 15.09/10.81 inference(rewrite,[status(thm)],[])).
% 15.09/10.81 tff(42641,plain,
% 15.09/10.81 (((~trans(s399, s35)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s35)) <=> (until2p7(s35) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s35)))),
% 15.09/10.81 inference(rewrite,[status(thm)],[])).
% 15.09/10.81 tff(42642,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s35)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s35))))),
% 15.09/10.81 inference(monotonicity,[status(thm)],[42641])).
% 15.09/10.81 tff(42643,plain,
% 15.09/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s35)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s35)))),
% 15.09/10.81 inference(transitivity,[status(thm)],[42642, 42640])).
% 15.09/10.81 tff(42644,plain,
% 15.09/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s35)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s35))),
% 15.09/10.81 inference(quant_inst,[status(thm)],[])).
% 15.09/10.81 tff(42645,plain,
% 15.09/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s35))),
% 15.09/10.81 inference(modus_ponens,[status(thm)],[42644, 42643])).
% 15.09/10.81 tff(42646,plain,
% 15.09/10.81 ($false),
% 15.09/10.81 inference(unit_resolution,[status(thm)],[42645, 37542, 42639, 38491, 42638, 40730])).
% 15.09/10.81 tff(42647,plain,((~trans(s399, s35)) | until2p7(s35) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.09/10.81 tff(42648,plain,
% 15.09/10.81 (~trans(s399, s35)),
% 15.09/10.81 inference(unit_resolution,[status(thm)],[42647, 41794, 37532])).
% 15.09/10.81 tff(42649,assumption,(~until2p7(s92)), introduced(assumption)).
% 15.09/10.81 tff(42650,assumption,(trans(s399, s92)), introduced(assumption)).
% 15.10/10.81 tff(42651,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s92)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42652,plain,
% 15.10/10.81 (((~trans(s399, s92)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s92)) <=> (until2p7(s92) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s92)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42653,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s92)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s92))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42652])).
% 15.10/10.81 tff(42654,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s92)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s92)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42653, 42651])).
% 15.10/10.81 tff(42655,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s92)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s92))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42656,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s92))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42655, 42654])).
% 15.10/10.81 tff(42657,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42656, 37542, 42650, 38491, 42649, 40730])).
% 15.10/10.81 tff(42658,plain,((~trans(s399, s92)) | until2p7(s92) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42659,plain,
% 15.10/10.81 (~trans(s399, s92)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42658, 41113, 37532])).
% 15.10/10.81 tff(42660,assumption,(~until2p7(s272)), introduced(assumption)).
% 15.10/10.81 tff(42661,assumption,(trans(s399, s272)), introduced(assumption)).
% 15.10/10.81 tff(42662,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s272) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s272)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s272)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42663,plain,
% 15.10/10.81 (((~trans(s399, s272)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s272)) <=> (until2p7(s272) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s272)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42664,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s272)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s272) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s272))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42663])).
% 15.10/10.81 tff(42665,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s272)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s272)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42664, 42662])).
% 15.10/10.81 tff(42666,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s272)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s272))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42667,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s272))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42666, 42665])).
% 15.10/10.81 tff(42668,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42667, 37542, 42661, 38491, 42660, 40730])).
% 15.10/10.81 tff(42669,plain,((~trans(s399, s272)) | until2p7(s272) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42670,plain,
% 15.10/10.81 (~trans(s399, s272)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42669, 38915, 37532])).
% 15.10/10.81 tff(42671,assumption,(~until2p7(s237)), introduced(assumption)).
% 15.10/10.81 tff(42672,assumption,(trans(s399, s237)), introduced(assumption)).
% 15.10/10.81 tff(42673,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s237) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s237)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s237)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42674,plain,
% 15.10/10.81 (((~trans(s399, s237)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s237)) <=> (until2p7(s237) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s237)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42675,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s237)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s237) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s237))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42674])).
% 15.10/10.81 tff(42676,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s237)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s237)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42675, 42673])).
% 15.10/10.81 tff(42677,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s237)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s237))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42678,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s237))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42677, 42676])).
% 15.10/10.81 tff(42679,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42678, 37542, 42672, 38491, 42671, 40730])).
% 15.10/10.81 tff(42680,plain,((~trans(s399, s237)) | until2p7(s237) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42681,plain,
% 15.10/10.81 (~trans(s399, s237)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42680, 39335, 37532])).
% 15.10/10.81 tff(42682,assumption,(~until2p7(s333)), introduced(assumption)).
% 15.10/10.81 tff(42683,assumption,(trans(s399, s333)), introduced(assumption)).
% 15.10/10.81 tff(42684,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s333) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s333)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s333) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s333)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42685,plain,
% 15.10/10.81 (((~trans(s399, s333)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s333)) <=> (until2p7(s333) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s333)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42686,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s333)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s333) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s333))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42685])).
% 15.10/10.81 tff(42687,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s333)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s333) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s333)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42686, 42684])).
% 15.10/10.81 tff(42688,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s333)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s333))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42689,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s333) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s333))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42688, 42687])).
% 15.10/10.81 tff(42690,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42689, 37542, 42683, 38491, 42682, 40730])).
% 15.10/10.81 tff(42691,plain,((~trans(s399, s333)) | until2p7(s333) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42692,plain,
% 15.10/10.81 (~trans(s399, s333)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42691, 38231, 37532])).
% 15.10/10.81 tff(42693,assumption,(~until2p7(s50)), introduced(assumption)).
% 15.10/10.81 tff(42694,assumption,(trans(s399, s50)), introduced(assumption)).
% 15.10/10.81 tff(42695,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s50)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42696,plain,
% 15.10/10.81 (((~trans(s399, s50)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s50)) <=> (until2p7(s50) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s50)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42697,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s50)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s50))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42696])).
% 15.10/10.81 tff(42698,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s50)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s50)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42697, 42695])).
% 15.10/10.81 tff(42699,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s50)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s50))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42700,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s50))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42699, 42698])).
% 15.10/10.81 tff(42701,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42700, 37542, 42694, 38491, 42693, 40730])).
% 15.10/10.81 tff(42702,plain,((~trans(s399, s50)) | until2p7(s50) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42703,plain,
% 15.10/10.81 (~trans(s399, s50)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42702, 41616, 37532])).
% 15.10/10.81 tff(42704,assumption,(~until2p7(s255)), introduced(assumption)).
% 15.10/10.81 tff(42705,assumption,(trans(s399, s255)), introduced(assumption)).
% 15.10/10.81 tff(42706,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s255) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s255)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s255)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42707,plain,
% 15.10/10.81 (((~trans(s399, s255)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s255)) <=> (until2p7(s255) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s255)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42708,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s255)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s255) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s255))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42707])).
% 15.10/10.81 tff(42709,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s255)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s255)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42708, 42706])).
% 15.10/10.81 tff(42710,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s255)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s255))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42711,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s255))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42710, 42709])).
% 15.10/10.81 tff(42712,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42711, 37542, 42705, 38491, 42704, 40730])).
% 15.10/10.81 tff(42713,plain,((~trans(s399, s255)) | until2p7(s255) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42714,plain,
% 15.10/10.81 (~trans(s399, s255)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42713, 39119, 37532])).
% 15.10/10.81 tff(42715,assumption,(~until2p7(s369)), introduced(assumption)).
% 15.10/10.81 tff(42716,assumption,(trans(s399, s369)), introduced(assumption)).
% 15.10/10.81 tff(42717,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s369) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s369)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s369) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s369)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42718,plain,
% 15.10/10.81 (((~trans(s399, s369)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s369)) <=> (until2p7(s369) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s369)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42719,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s369)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s369) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s369))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42718])).
% 15.10/10.81 tff(42720,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s369)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s369) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s369)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42719, 42717])).
% 15.10/10.81 tff(42721,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s369)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s369))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42722,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s369) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s369))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42721, 42720])).
% 15.10/10.81 tff(42723,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42722, 37542, 42716, 38491, 42715, 40730])).
% 15.10/10.81 tff(42724,plain,((~trans(s399, s369)) | until2p7(s369) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42725,plain,
% 15.10/10.81 (~trans(s399, s369)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42724, 37871, 37532])).
% 15.10/10.81 tff(42726,assumption,(~until2p7(s269)), introduced(assumption)).
% 15.10/10.81 tff(42727,assumption,(trans(s399, s269)), introduced(assumption)).
% 15.10/10.81 tff(42728,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s269) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s269)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s269)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42729,plain,
% 15.10/10.81 (((~trans(s399, s269)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s269)) <=> (until2p7(s269) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s269)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42730,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s269)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s269) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s269))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42729])).
% 15.10/10.81 tff(42731,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s269)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s269)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42730, 42728])).
% 15.10/10.81 tff(42732,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s269)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s269))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42733,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s269))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42732, 42731])).
% 15.10/10.81 tff(42734,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42733, 37542, 42727, 38491, 42726, 40730])).
% 15.10/10.81 tff(42735,plain,((~trans(s399, s269)) | until2p7(s269) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42736,plain,
% 15.10/10.81 (~trans(s399, s269)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42735, 38951, 37532])).
% 15.10/10.81 tff(42737,assumption,(~until2p7(s165)), introduced(assumption)).
% 15.10/10.81 tff(42738,assumption,(trans(s399, s165)), introduced(assumption)).
% 15.10/10.81 tff(42739,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s165) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s165)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42740,plain,
% 15.10/10.81 (((~trans(s399, s165)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s165)) <=> (until2p7(s165) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s165)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42741,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s165)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s165) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s165))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42740])).
% 15.10/10.81 tff(42742,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s165)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s165)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42741, 42739])).
% 15.10/10.81 tff(42743,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s165)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s165))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42744,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s165))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42743, 42742])).
% 15.10/10.81 tff(42745,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42744, 37542, 42738, 38491, 42737, 40730])).
% 15.10/10.81 tff(42746,plain,((~trans(s399, s165)) | until2p7(s165) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42747,plain,
% 15.10/10.81 (~trans(s399, s165)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42746, 40189, 37532])).
% 15.10/10.81 tff(42748,assumption,(~until2p7(s160)), introduced(assumption)).
% 15.10/10.81 tff(42749,assumption,(trans(s399, s160)), introduced(assumption)).
% 15.10/10.81 tff(42750,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s160) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s160)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42751,plain,
% 15.10/10.81 (((~trans(s399, s160)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s160)) <=> (until2p7(s160) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s160)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42752,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s160)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s160) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s160))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42751])).
% 15.10/10.81 tff(42753,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s160)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s160)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42752, 42750])).
% 15.10/10.81 tff(42754,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s160)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s160))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42755,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s160))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42754, 42753])).
% 15.10/10.81 tff(42756,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42755, 37542, 42749, 38491, 42748, 40730])).
% 15.10/10.81 tff(42757,plain,((~trans(s399, s160)) | until2p7(s160) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.81 tff(42758,plain,
% 15.10/10.81 (~trans(s399, s160)),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42757, 40247, 37532])).
% 15.10/10.81 tff(42759,assumption,(~until2p7(s244)), introduced(assumption)).
% 15.10/10.81 tff(42760,assumption,(trans(s399, s244)), introduced(assumption)).
% 15.10/10.81 tff(42761,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s244) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s244)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s244)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42762,plain,
% 15.10/10.81 (((~trans(s399, s244)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s244)) <=> (until2p7(s244) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s244)))),
% 15.10/10.81 inference(rewrite,[status(thm)],[])).
% 15.10/10.81 tff(42763,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s244)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s244) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s244))))),
% 15.10/10.81 inference(monotonicity,[status(thm)],[42762])).
% 15.10/10.81 tff(42764,plain,
% 15.10/10.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s244)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s244)))),
% 15.10/10.81 inference(transitivity,[status(thm)],[42763, 42761])).
% 15.10/10.81 tff(42765,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s244)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s244))),
% 15.10/10.81 inference(quant_inst,[status(thm)],[])).
% 15.10/10.81 tff(42766,plain,
% 15.10/10.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s244))),
% 15.10/10.81 inference(modus_ponens,[status(thm)],[42765, 42764])).
% 15.10/10.81 tff(42767,plain,
% 15.10/10.81 ($false),
% 15.10/10.81 inference(unit_resolution,[status(thm)],[42766, 37542, 42760, 38491, 42759, 40730])).
% 15.10/10.81 tff(42768,plain,((~trans(s399, s244)) | until2p7(s244) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42769,plain,
% 15.10/10.82 (~trans(s399, s244)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42768, 39251, 37532])).
% 15.10/10.82 tff(42770,assumption,(~until2p7(s238)), introduced(assumption)).
% 15.10/10.82 tff(42771,assumption,(trans(s399, s238)), introduced(assumption)).
% 15.10/10.82 tff(42772,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s238) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s238)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s238)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42773,plain,
% 15.10/10.82 (((~trans(s399, s238)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s238)) <=> (until2p7(s238) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s238)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42774,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s238)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s238) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s238))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42773])).
% 15.10/10.82 tff(42775,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s238)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s238)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42774, 42772])).
% 15.10/10.82 tff(42776,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s238)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s238))),
% 15.10/10.82 inference(quant_inst,[status(thm)],[])).
% 15.10/10.82 tff(42777,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s238))),
% 15.10/10.82 inference(modus_ponens,[status(thm)],[42776, 42775])).
% 15.10/10.82 tff(42778,plain,
% 15.10/10.82 ($false),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42777, 37542, 42771, 38491, 42770, 40730])).
% 15.10/10.82 tff(42779,plain,((~trans(s399, s238)) | until2p7(s238) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42780,plain,
% 15.10/10.82 (~trans(s399, s238)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42779, 39323, 37532])).
% 15.10/10.82 tff(42781,assumption,(~until2p7(s194)), introduced(assumption)).
% 15.10/10.82 tff(42782,assumption,(trans(s399, s194)), introduced(assumption)).
% 15.10/10.82 tff(42783,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s194) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s194)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42784,plain,
% 15.10/10.82 (((~trans(s399, s194)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s194)) <=> (until2p7(s194) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s194)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42785,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s194)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s194) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s194))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42784])).
% 15.10/10.82 tff(42786,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s194)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s194)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42785, 42783])).
% 15.10/10.82 tff(42787,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s194)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s194))),
% 15.10/10.82 inference(quant_inst,[status(thm)],[])).
% 15.10/10.82 tff(42788,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s194))),
% 15.10/10.82 inference(modus_ponens,[status(thm)],[42787, 42786])).
% 15.10/10.82 tff(42789,plain,
% 15.10/10.82 ($false),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42788, 37542, 42782, 38491, 42781, 40730])).
% 15.10/10.82 tff(42790,plain,((~trans(s399, s194)) | until2p7(s194) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42791,plain,
% 15.10/10.82 (~trans(s399, s194)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42790, 39847, 37532])).
% 15.10/10.82 tff(42792,assumption,(~until2p7(s12)), introduced(assumption)).
% 15.10/10.82 tff(42793,assumption,(trans(s399, s12)), introduced(assumption)).
% 15.10/10.82 tff(42794,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s12)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42795,plain,
% 15.10/10.82 (((~trans(s399, s12)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s12)) <=> (until2p7(s12) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s12)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42796,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s12)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s12))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42795])).
% 15.10/10.82 tff(42797,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s12)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s12)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42796, 42794])).
% 15.10/10.82 tff(42798,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s12)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s12))),
% 15.10/10.82 inference(quant_inst,[status(thm)],[])).
% 15.10/10.82 tff(42799,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s12))),
% 15.10/10.82 inference(modus_ponens,[status(thm)],[42798, 42797])).
% 15.10/10.82 tff(42800,plain,
% 15.10/10.82 ($false),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42799, 37542, 42793, 38491, 42792, 40730])).
% 15.10/10.82 tff(42801,plain,((~trans(s399, s12)) | until2p7(s12) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42802,plain,
% 15.10/10.82 (~trans(s399, s12)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42801, 42067, 37532])).
% 15.10/10.82 tff(42803,assumption,(~until2p7(s79)), introduced(assumption)).
% 15.10/10.82 tff(42804,assumption,(trans(s399, s79)), introduced(assumption)).
% 15.10/10.82 tff(42805,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s79)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42806,plain,
% 15.10/10.82 (((~trans(s399, s79)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s79)) <=> (until2p7(s79) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s79)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42807,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s79)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s79))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42806])).
% 15.10/10.82 tff(42808,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s79)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s79)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42807, 42805])).
% 15.10/10.82 tff(42809,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s79)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s79))),
% 15.10/10.82 inference(quant_inst,[status(thm)],[])).
% 15.10/10.82 tff(42810,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s79))),
% 15.10/10.82 inference(modus_ponens,[status(thm)],[42809, 42808])).
% 15.10/10.82 tff(42811,plain,
% 15.10/10.82 ($false),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42810, 37542, 42804, 38491, 42803, 40730])).
% 15.10/10.82 tff(42812,plain,((~trans(s399, s79)) | until2p7(s79) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42813,plain,
% 15.10/10.82 (~trans(s399, s79)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42812, 41268, 37532])).
% 15.10/10.82 tff(42814,assumption,(~until2p7(s345)), introduced(assumption)).
% 15.10/10.82 tff(42815,assumption,(trans(s399, s345)), introduced(assumption)).
% 15.10/10.82 tff(42816,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s345) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s345)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s345) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s345)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42817,plain,
% 15.10/10.82 (((~trans(s399, s345)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s345)) <=> (until2p7(s345) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s345)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42818,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s345)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s345) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s345))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42817])).
% 15.10/10.82 tff(42819,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s345)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s345) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s345)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42818, 42816])).
% 15.10/10.82 tff(42820,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s345)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s345))),
% 15.10/10.82 inference(quant_inst,[status(thm)],[])).
% 15.10/10.82 tff(42821,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s345) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s345))),
% 15.10/10.82 inference(modus_ponens,[status(thm)],[42820, 42819])).
% 15.10/10.82 tff(42822,plain,
% 15.10/10.82 ($false),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42821, 37542, 42815, 38491, 42814, 40730])).
% 15.10/10.82 tff(42823,plain,((~trans(s399, s345)) | until2p7(s345) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42824,plain,
% 15.10/10.82 (~trans(s399, s345)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42823, 38111, 37532])).
% 15.10/10.82 tff(42825,assumption,(~until2p7(s55)), introduced(assumption)).
% 15.10/10.82 tff(42826,assumption,(trans(s399, s55)), introduced(assumption)).
% 15.10/10.82 tff(42827,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s55)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42828,plain,
% 15.10/10.82 (((~trans(s399, s55)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s55)) <=> (until2p7(s55) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s55)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42829,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s55)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s55))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42828])).
% 15.10/10.82 tff(42830,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s55)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s55)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42829, 42827])).
% 15.10/10.82 tff(42831,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s55)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s55))),
% 15.10/10.82 inference(quant_inst,[status(thm)],[])).
% 15.10/10.82 tff(42832,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s55))),
% 15.10/10.82 inference(modus_ponens,[status(thm)],[42831, 42830])).
% 15.10/10.82 tff(42833,plain,
% 15.10/10.82 ($false),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42832, 37542, 42826, 38491, 42825, 40730])).
% 15.10/10.82 tff(42834,plain,((~trans(s399, s55)) | until2p7(s55) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42835,plain,
% 15.10/10.82 (~trans(s399, s55)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42834, 41556, 37532])).
% 15.10/10.82 tff(42836,assumption,(~until2p7(s309)), introduced(assumption)).
% 15.10/10.82 tff(42837,assumption,(trans(s399, s309)), introduced(assumption)).
% 15.10/10.82 tff(42838,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s309) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s309)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s309) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s309)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42839,plain,
% 15.10/10.82 (((~trans(s399, s309)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s309)) <=> (until2p7(s309) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s309)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42840,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s309)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s309) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s309))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42839])).
% 15.10/10.82 tff(42841,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s309)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s309) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s309)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42840, 42838])).
% 15.10/10.82 tff(42842,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s309)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s309))),
% 15.10/10.82 inference(quant_inst,[status(thm)],[])).
% 15.10/10.82 tff(42843,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s309) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s309))),
% 15.10/10.82 inference(modus_ponens,[status(thm)],[42842, 42841])).
% 15.10/10.82 tff(42844,plain,
% 15.10/10.82 ($false),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42843, 37542, 42837, 38491, 42836, 40730])).
% 15.10/10.82 tff(42845,plain,((~trans(s399, s309)) | until2p7(s309) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42846,plain,
% 15.10/10.82 (~trans(s399, s309)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42845, 38471, 37532])).
% 15.10/10.82 tff(42847,assumption,(~until2p7(s68)), introduced(assumption)).
% 15.10/10.82 tff(42848,assumption,(trans(s399, s68)), introduced(assumption)).
% 15.10/10.82 tff(42849,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s68)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42850,plain,
% 15.10/10.82 (((~trans(s399, s68)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s68)) <=> (until2p7(s68) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s68)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42851,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s68)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s68))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42850])).
% 15.10/10.82 tff(42852,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s68)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s68)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42851, 42849])).
% 15.10/10.82 tff(42853,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s68)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s68))),
% 15.10/10.82 inference(quant_inst,[status(thm)],[])).
% 15.10/10.82 tff(42854,plain,
% 15.10/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s68))),
% 15.10/10.82 inference(modus_ponens,[status(thm)],[42853, 42852])).
% 15.10/10.82 tff(42855,plain,
% 15.10/10.82 ($false),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42854, 37542, 42848, 38491, 42847, 40730])).
% 15.10/10.82 tff(42856,plain,((~trans(s399, s68)) | until2p7(s68) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.10/10.82 tff(42857,plain,
% 15.10/10.82 (~trans(s399, s68)),
% 15.10/10.82 inference(unit_resolution,[status(thm)],[42856, 41400, 37532])).
% 15.10/10.82 tff(42858,assumption,(~until2p7(s9)), introduced(assumption)).
% 15.10/10.82 tff(42859,assumption,(trans(s399, s9)), introduced(assumption)).
% 15.10/10.82 tff(42860,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s9)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42861,plain,
% 15.10/10.82 (((~trans(s399, s9)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s9)) <=> (until2p7(s9) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s9)))),
% 15.10/10.82 inference(rewrite,[status(thm)],[])).
% 15.10/10.82 tff(42862,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s9)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s9))))),
% 15.10/10.82 inference(monotonicity,[status(thm)],[42861])).
% 15.10/10.82 tff(42863,plain,
% 15.10/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s9)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s9)))),
% 15.10/10.82 inference(transitivity,[status(thm)],[42862, 42860])).
% 15.11/10.82 tff(42864,plain,
% 15.11/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s9)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s9))),
% 15.11/10.82 inference(quant_inst,[status(thm)],[])).
% 15.11/10.82 tff(42865,plain,
% 15.11/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s9))),
% 15.11/10.82 inference(modus_ponens,[status(thm)],[42864, 42863])).
% 15.11/10.82 tff(42866,plain,
% 15.11/10.82 ($false),
% 15.11/10.82 inference(unit_resolution,[status(thm)],[42865, 37542, 42859, 38491, 42858, 40730])).
% 15.11/10.82 tff(42867,plain,((~trans(s399, s9)) | until2p7(s9) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.82 tff(42868,plain,
% 15.11/10.82 (~trans(s399, s9)),
% 15.11/10.82 inference(unit_resolution,[status(thm)],[42867, 42102, 37532])).
% 15.11/10.82 tff(42869,assumption,(~until2p7(s201)), introduced(assumption)).
% 15.11/10.82 tff(42870,assumption,(trans(s399, s201)), introduced(assumption)).
% 15.11/10.82 tff(42871,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s201) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s201)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s201)))),
% 15.11/10.82 inference(rewrite,[status(thm)],[])).
% 15.11/10.82 tff(42872,plain,
% 15.11/10.82 (((~trans(s399, s201)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s201)) <=> (until2p7(s201) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s201)))),
% 15.11/10.82 inference(rewrite,[status(thm)],[])).
% 15.11/10.82 tff(42873,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s201)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s201) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s201))))),
% 15.11/10.82 inference(monotonicity,[status(thm)],[42872])).
% 15.11/10.82 tff(42874,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s201)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s201)))),
% 15.11/10.82 inference(transitivity,[status(thm)],[42873, 42871])).
% 15.11/10.82 tff(42875,plain,
% 15.11/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s201)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s201))),
% 15.11/10.82 inference(quant_inst,[status(thm)],[])).
% 15.11/10.82 tff(42876,plain,
% 15.11/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s201))),
% 15.11/10.82 inference(modus_ponens,[status(thm)],[42875, 42874])).
% 15.11/10.82 tff(42877,plain,
% 15.11/10.82 ($false),
% 15.11/10.82 inference(unit_resolution,[status(thm)],[42876, 37542, 42870, 38491, 42869, 40730])).
% 15.11/10.82 tff(42878,plain,((~trans(s399, s201)) | until2p7(s201) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.82 tff(42879,plain,
% 15.11/10.82 (~trans(s399, s201)),
% 15.11/10.82 inference(unit_resolution,[status(thm)],[42878, 39764, 37532])).
% 15.11/10.82 tff(42880,assumption,(~until2p7(s49)), introduced(assumption)).
% 15.11/10.82 tff(42881,assumption,(trans(s399, s49)), introduced(assumption)).
% 15.11/10.82 tff(42882,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s49)))),
% 15.11/10.82 inference(rewrite,[status(thm)],[])).
% 15.11/10.82 tff(42883,plain,
% 15.11/10.82 (((~trans(s399, s49)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s49)) <=> (until2p7(s49) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s49)))),
% 15.11/10.82 inference(rewrite,[status(thm)],[])).
% 15.11/10.82 tff(42884,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s49)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s49))))),
% 15.11/10.82 inference(monotonicity,[status(thm)],[42883])).
% 15.11/10.82 tff(42885,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s49)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s49)))),
% 15.11/10.82 inference(transitivity,[status(thm)],[42884, 42882])).
% 15.11/10.82 tff(42886,plain,
% 15.11/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s49)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s49))),
% 15.11/10.82 inference(quant_inst,[status(thm)],[])).
% 15.11/10.82 tff(42887,plain,
% 15.11/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s49))),
% 15.11/10.82 inference(modus_ponens,[status(thm)],[42886, 42885])).
% 15.11/10.82 tff(42888,plain,
% 15.11/10.82 ($false),
% 15.11/10.82 inference(unit_resolution,[status(thm)],[42887, 37542, 42881, 38491, 42880, 40730])).
% 15.11/10.82 tff(42889,plain,((~trans(s399, s49)) | until2p7(s49) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.82 tff(42890,plain,
% 15.11/10.82 (~trans(s399, s49)),
% 15.11/10.82 inference(unit_resolution,[status(thm)],[42889, 41628, 37532])).
% 15.11/10.82 tff(42891,assumption,(~until2p7(s371)), introduced(assumption)).
% 15.11/10.82 tff(42892,assumption,(trans(s399, s371)), introduced(assumption)).
% 15.11/10.82 tff(42893,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s371) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s371)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s371) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s371)))),
% 15.11/10.82 inference(rewrite,[status(thm)],[])).
% 15.11/10.82 tff(42894,plain,
% 15.11/10.82 (((~trans(s399, s371)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s371)) <=> (until2p7(s371) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s371)))),
% 15.11/10.82 inference(rewrite,[status(thm)],[])).
% 15.11/10.82 tff(42895,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s371)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s371) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s371))))),
% 15.11/10.82 inference(monotonicity,[status(thm)],[42894])).
% 15.11/10.82 tff(42896,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s371)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s371) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s371)))),
% 15.11/10.82 inference(transitivity,[status(thm)],[42895, 42893])).
% 15.11/10.82 tff(42897,plain,
% 15.11/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s371)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s371))),
% 15.11/10.82 inference(quant_inst,[status(thm)],[])).
% 15.11/10.82 tff(42898,plain,
% 15.11/10.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s371) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s371))),
% 15.11/10.82 inference(modus_ponens,[status(thm)],[42897, 42896])).
% 15.11/10.82 tff(42899,plain,
% 15.11/10.82 ($false),
% 15.11/10.82 inference(unit_resolution,[status(thm)],[42898, 37542, 42892, 38491, 42891, 40730])).
% 15.11/10.82 tff(42900,plain,((~trans(s399, s371)) | until2p7(s371) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.82 tff(42901,plain,
% 15.11/10.82 (~trans(s399, s371)),
% 15.11/10.82 inference(unit_resolution,[status(thm)],[42900, 37851, 37532])).
% 15.11/10.82 tff(42902,assumption,(~until2p7(s354)), introduced(assumption)).
% 15.11/10.82 tff(42903,assumption,(trans(s399, s354)), introduced(assumption)).
% 15.11/10.82 tff(42904,plain,
% 15.11/10.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s354) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s354)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s354) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s354)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42905,plain,
% 15.11/10.83 (((~trans(s399, s354)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s354)) <=> (until2p7(s354) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s354)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42906,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s354)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s354) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s354))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42905])).
% 15.11/10.83 tff(42907,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s354)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s354) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s354)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42906, 42904])).
% 15.11/10.83 tff(42908,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s354)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s354))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42909,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s354) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s354))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42908, 42907])).
% 15.11/10.83 tff(42910,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42909, 37542, 42903, 38491, 42902, 40730])).
% 15.11/10.83 tff(42911,plain,((~trans(s399, s354)) | until2p7(s354) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(42912,plain,
% 15.11/10.83 (~trans(s399, s354)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42911, 38021, 37532])).
% 15.11/10.83 tff(42913,assumption,(~until2p7(s21)), introduced(assumption)).
% 15.11/10.83 tff(42914,assumption,(trans(s399, s21)), introduced(assumption)).
% 15.11/10.83 tff(42915,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s21)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42916,plain,
% 15.11/10.83 (((~trans(s399, s21)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s21)) <=> (until2p7(s21) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s21)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42917,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s21)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s21))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42916])).
% 15.11/10.83 tff(42918,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s21)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s21)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42917, 42915])).
% 15.11/10.83 tff(42919,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s21)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s21))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42920,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s21))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42919, 42918])).
% 15.11/10.83 tff(42921,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42920, 37542, 42914, 38491, 42913, 40730])).
% 15.11/10.83 tff(42922,plain,((~trans(s399, s21)) | until2p7(s21) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(42923,plain,
% 15.11/10.83 (~trans(s399, s21)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42922, 41959, 37532])).
% 15.11/10.83 tff(42924,assumption,(~until2p7(s133)), introduced(assumption)).
% 15.11/10.83 tff(42925,assumption,(trans(s399, s133)), introduced(assumption)).
% 15.11/10.83 tff(42926,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s133) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s133)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42927,plain,
% 15.11/10.83 (((~trans(s399, s133)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s133)) <=> (until2p7(s133) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s133)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42928,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s133)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s133) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s133))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42927])).
% 15.11/10.83 tff(42929,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s133)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s133)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42928, 42926])).
% 15.11/10.83 tff(42930,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s133)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s133))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42931,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s133))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42930, 42929])).
% 15.11/10.83 tff(42932,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42931, 37542, 42925, 38491, 42924, 40730])).
% 15.11/10.83 tff(42933,plain,((~trans(s399, s133)) | until2p7(s133) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(42934,plain,
% 15.11/10.83 (~trans(s399, s133)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42933, 40564, 37532])).
% 15.11/10.83 tff(42935,assumption,(~until2p7(s158)), introduced(assumption)).
% 15.11/10.83 tff(42936,assumption,(trans(s399, s158)), introduced(assumption)).
% 15.11/10.83 tff(42937,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s158) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s158)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42938,plain,
% 15.11/10.83 (((~trans(s399, s158)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s158)) <=> (until2p7(s158) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s158)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42939,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s158)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s158) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s158))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42938])).
% 15.11/10.83 tff(42940,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s158)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s158)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42939, 42937])).
% 15.11/10.83 tff(42941,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s158)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s158))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42942,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s158))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42941, 42940])).
% 15.11/10.83 tff(42943,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42942, 37542, 42936, 38491, 42935, 40730])).
% 15.11/10.83 tff(42944,plain,((~trans(s399, s158)) | until2p7(s158) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(42945,plain,
% 15.11/10.83 (~trans(s399, s158)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42944, 40271, 37532])).
% 15.11/10.83 tff(42946,assumption,(~until2p7(s379)), introduced(assumption)).
% 15.11/10.83 tff(42947,assumption,(trans(s399, s379)), introduced(assumption)).
% 15.11/10.83 tff(42948,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s379) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s379)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s379) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s379)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42949,plain,
% 15.11/10.83 (((~trans(s399, s379)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s379)) <=> (until2p7(s379) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s379)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42950,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s379)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s379) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s379))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42949])).
% 15.11/10.83 tff(42951,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s379)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s379) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s379)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42950, 42948])).
% 15.11/10.83 tff(42952,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s379)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s379))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42953,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s379) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s379))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42952, 42951])).
% 15.11/10.83 tff(42954,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42953, 37542, 42947, 38491, 42946, 40730])).
% 15.11/10.83 tff(42955,plain,((~trans(s399, s379)) | until2p7(s379) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(42956,plain,
% 15.11/10.83 (~trans(s399, s379)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42955, 37771, 37532])).
% 15.11/10.83 tff(42957,assumption,(~until2p7(s77)), introduced(assumption)).
% 15.11/10.83 tff(42958,assumption,(trans(s399, s77)), introduced(assumption)).
% 15.11/10.83 tff(42959,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s77)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42960,plain,
% 15.11/10.83 (((~trans(s399, s77)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s77)) <=> (until2p7(s77) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s77)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42961,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s77)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s77))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42960])).
% 15.11/10.83 tff(42962,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s77)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s77)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42961, 42959])).
% 15.11/10.83 tff(42963,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s77)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s77))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42964,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s77))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42963, 42962])).
% 15.11/10.83 tff(42965,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42964, 37542, 42958, 38491, 42957, 40730])).
% 15.11/10.83 tff(42966,plain,((~trans(s399, s77)) | until2p7(s77) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(42967,plain,
% 15.11/10.83 (~trans(s399, s77)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42966, 41292, 37532])).
% 15.11/10.83 tff(42968,assumption,(~until2p7(s83)), introduced(assumption)).
% 15.11/10.83 tff(42969,assumption,(trans(s399, s83)), introduced(assumption)).
% 15.11/10.83 tff(42970,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s83)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42971,plain,
% 15.11/10.83 (((~trans(s399, s83)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s83)) <=> (until2p7(s83) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s83)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42972,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s83)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s83))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42971])).
% 15.11/10.83 tff(42973,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s83)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s83)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42972, 42970])).
% 15.11/10.83 tff(42974,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s83)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s83))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42975,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s83))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42974, 42973])).
% 15.11/10.83 tff(42976,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42975, 37542, 42969, 38491, 42968, 40730])).
% 15.11/10.83 tff(42977,plain,((~trans(s399, s83)) | until2p7(s83) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(42978,plain,
% 15.11/10.83 (~trans(s399, s83)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42977, 41220, 37532])).
% 15.11/10.83 tff(42979,assumption,(~until2p7(s88)), introduced(assumption)).
% 15.11/10.83 tff(42980,assumption,(trans(s399, s88)), introduced(assumption)).
% 15.11/10.83 tff(42981,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s88)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42982,plain,
% 15.11/10.83 (((~trans(s399, s88)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s88)) <=> (until2p7(s88) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s88)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42983,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s88)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s88))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42982])).
% 15.11/10.83 tff(42984,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s88)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s88)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42983, 42981])).
% 15.11/10.83 tff(42985,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s88)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s88))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42986,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s88))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42985, 42984])).
% 15.11/10.83 tff(42987,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42986, 37542, 42980, 38491, 42979, 40730])).
% 15.11/10.83 tff(42988,plain,((~trans(s399, s88)) | until2p7(s88) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(42989,plain,
% 15.11/10.83 (~trans(s399, s88)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42988, 41161, 37532])).
% 15.11/10.83 tff(42990,assumption,(~until2p7(s374)), introduced(assumption)).
% 15.11/10.83 tff(42991,assumption,(trans(s399, s374)), introduced(assumption)).
% 15.11/10.83 tff(42992,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s374) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s374)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s374) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s374)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42993,plain,
% 15.11/10.83 (((~trans(s399, s374)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s374)) <=> (until2p7(s374) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s374)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(42994,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s374)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s374) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s374))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[42993])).
% 15.11/10.83 tff(42995,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s374)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s374) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s374)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[42994, 42992])).
% 15.11/10.83 tff(42996,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s374)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s374))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(42997,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s374) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s374))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[42996, 42995])).
% 15.11/10.83 tff(42998,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42997, 37542, 42991, 38491, 42990, 40730])).
% 15.11/10.83 tff(42999,plain,((~trans(s399, s374)) | until2p7(s374) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(43000,plain,
% 15.11/10.83 (~trans(s399, s374)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[42999, 37821, 37532])).
% 15.11/10.83 tff(43001,plain,
% 15.11/10.83 (((~![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)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43002,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(43003,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[43002, 43001])).
% 15.11/10.83 tff(43004,plain,
% 15.11/10.83 (until2p7(s2) | (~xuntil2p8(s1))),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43003, 315, 37571])).
% 15.11/10.83 tff(43005,plain,
% 15.11/10.83 (~xuntil2p8(s1)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43004, 42186])).
% 15.11/10.83 tff(43006,plain,
% 15.11/10.83 (~always3(s1)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[328, 42180])).
% 15.11/10.83 tff(43007,plain,
% 15.11/10.83 (~node4(s1)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[369, 36, 43006])).
% 15.11/10.83 tff(43008,plain,
% 15.11/10.83 (((~![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)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43009,plain,
% 15.11/10.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(43010,plain,
% 15.11/10.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[43009, 43008])).
% 15.11/10.83 tff(43011,plain,
% 15.11/10.83 (xuntil2p8(s1) | (~until2p7(s1))),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43010, 37556, 43007])).
% 15.11/10.83 tff(43012,plain,
% 15.11/10.83 (~until2p7(s1)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43011, 43005])).
% 15.11/10.83 tff(43013,assumption,(~until2p7(s1)), introduced(assumption)).
% 15.11/10.83 tff(43014,assumption,(trans(s399, s1)), introduced(assumption)).
% 15.11/10.83 tff(43015,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s1)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43016,plain,
% 15.11/10.83 (((~trans(s399, s1)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s1)) <=> (until2p7(s1) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s1)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43017,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s1)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s1))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[43016])).
% 15.11/10.83 tff(43018,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s1)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s1)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[43017, 43015])).
% 15.11/10.83 tff(43019,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s1)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s1))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(43020,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s1))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[43019, 43018])).
% 15.11/10.83 tff(43021,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43020, 37542, 43014, 38491, 43013, 40730])).
% 15.11/10.83 tff(43022,plain,((~trans(s399, s1)) | until2p7(s1) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(43023,plain,
% 15.11/10.83 (~trans(s399, s1)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43022, 43012, 37532])).
% 15.11/10.83 tff(43024,assumption,(~until2p7(s363)), introduced(assumption)).
% 15.11/10.83 tff(43025,assumption,(trans(s399, s363)), introduced(assumption)).
% 15.11/10.83 tff(43026,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s363) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s363)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s363) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s363)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43027,plain,
% 15.11/10.83 (((~trans(s399, s363)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s363)) <=> (until2p7(s363) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s363)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43028,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s363)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s363) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s363))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[43027])).
% 15.11/10.83 tff(43029,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s363)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s363) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s363)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[43028, 43026])).
% 15.11/10.83 tff(43030,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s363)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s363))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(43031,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s363) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s363))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[43030, 43029])).
% 15.11/10.83 tff(43032,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43031, 37542, 43025, 38491, 43024, 40730])).
% 15.11/10.83 tff(43033,plain,((~trans(s399, s363)) | until2p7(s363) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(43034,plain,
% 15.11/10.83 (~trans(s399, s363)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43033, 37931, 37532])).
% 15.11/10.83 tff(43035,assumption,(~until2p7(s296)), introduced(assumption)).
% 15.11/10.83 tff(43036,assumption,(trans(s399, s296)), introduced(assumption)).
% 15.11/10.83 tff(43037,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s296) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s296)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s296)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43038,plain,
% 15.11/10.83 (((~trans(s399, s296)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s296)) <=> (until2p7(s296) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s296)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43039,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s296)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s296) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s296))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[43038])).
% 15.11/10.83 tff(43040,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s296)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s296)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[43039, 43037])).
% 15.11/10.83 tff(43041,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s296)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s296))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(43042,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s296))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[43041, 43040])).
% 15.11/10.83 tff(43043,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43042, 37542, 43036, 38491, 43035, 40730])).
% 15.11/10.83 tff(43044,plain,((~trans(s399, s296)) | until2p7(s296) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(43045,plain,
% 15.11/10.83 (~trans(s399, s296)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43044, 38628, 37532])).
% 15.11/10.83 tff(43046,assumption,(~until2p7(s148)), introduced(assumption)).
% 15.11/10.83 tff(43047,assumption,(trans(s399, s148)), introduced(assumption)).
% 15.11/10.83 tff(43048,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s148) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s148)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43049,plain,
% 15.11/10.83 (((~trans(s399, s148)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s148)) <=> (until2p7(s148) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s148)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43050,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s148)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s148) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s148))))),
% 15.11/10.83 inference(monotonicity,[status(thm)],[43049])).
% 15.11/10.83 tff(43051,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s148)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s148)))),
% 15.11/10.83 inference(transitivity,[status(thm)],[43050, 43048])).
% 15.11/10.83 tff(43052,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s148)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s148))),
% 15.11/10.83 inference(quant_inst,[status(thm)],[])).
% 15.11/10.83 tff(43053,plain,
% 15.11/10.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s148))),
% 15.11/10.83 inference(modus_ponens,[status(thm)],[43052, 43051])).
% 15.11/10.83 tff(43054,plain,
% 15.11/10.83 ($false),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43053, 37542, 43047, 38491, 43046, 40730])).
% 15.11/10.83 tff(43055,plain,((~trans(s399, s148)) | until2p7(s148) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.83 tff(43056,plain,
% 15.11/10.83 (~trans(s399, s148)),
% 15.11/10.83 inference(unit_resolution,[status(thm)],[43055, 40387, 37532])).
% 15.11/10.83 tff(43057,assumption,(~until2p7(s106)), introduced(assumption)).
% 15.11/10.83 tff(43058,assumption,(trans(s399, s106)), introduced(assumption)).
% 15.11/10.83 tff(43059,plain,
% 15.11/10.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s106) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s106)))),
% 15.11/10.83 inference(rewrite,[status(thm)],[])).
% 15.11/10.83 tff(43060,plain,
% 15.11/10.83 (((~trans(s399, s106)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s106)) <=> (until2p7(s106) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s106)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43061,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s106)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s106) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s106))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43060])).
% 15.11/10.84 tff(43062,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s106)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s106)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43061, 43059])).
% 15.11/10.84 tff(43063,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s106)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s106))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43064,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s106))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43063, 43062])).
% 15.11/10.84 tff(43065,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43064, 37542, 43058, 38491, 43057, 40730])).
% 15.11/10.84 tff(43066,plain,((~trans(s399, s106)) | until2p7(s106) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43067,plain,
% 15.11/10.84 (~trans(s399, s106)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43066, 40940, 37532])).
% 15.11/10.84 tff(43068,assumption,(~until2p7(s213)), introduced(assumption)).
% 15.11/10.84 tff(43069,assumption,(trans(s399, s213)), introduced(assumption)).
% 15.11/10.84 tff(43070,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s213) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s213)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s213)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43071,plain,
% 15.11/10.84 (((~trans(s399, s213)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s213)) <=> (until2p7(s213) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s213)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43072,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s213)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s213) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s213))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43071])).
% 15.11/10.84 tff(43073,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s213)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s213)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43072, 43070])).
% 15.11/10.84 tff(43074,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s213)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s213))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43075,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s213))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43074, 43073])).
% 15.11/10.84 tff(43076,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43075, 37542, 43069, 38491, 43068, 40730])).
% 15.11/10.84 tff(43077,plain,((~trans(s399, s213)) | until2p7(s213) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43078,plain,
% 15.11/10.84 (~trans(s399, s213)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43077, 39622, 37532])).
% 15.11/10.84 tff(43079,assumption,(~until2p7(s306)), introduced(assumption)).
% 15.11/10.84 tff(43080,assumption,(trans(s399, s306)), introduced(assumption)).
% 15.11/10.84 tff(43081,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s306) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s306)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s306) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s306)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43082,plain,
% 15.11/10.84 (((~trans(s399, s306)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s306)) <=> (until2p7(s306) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s306)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43083,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s306)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s306) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s306))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43082])).
% 15.11/10.84 tff(43084,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s306)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s306) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s306)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43083, 43081])).
% 15.11/10.84 tff(43085,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s306)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s306))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43086,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s306) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s306))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43085, 43084])).
% 15.11/10.84 tff(43087,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43086, 37542, 43080, 38491, 43079, 40730])).
% 15.11/10.84 tff(43088,plain,((~trans(s399, s306)) | until2p7(s306) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43089,plain,
% 15.11/10.84 (~trans(s399, s306)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43088, 38511, 37532])).
% 15.11/10.84 tff(43090,assumption,(~until2p7(s243)), introduced(assumption)).
% 15.11/10.84 tff(43091,assumption,(trans(s399, s243)), introduced(assumption)).
% 15.11/10.84 tff(43092,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s243) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s243)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s243)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43093,plain,
% 15.11/10.84 (((~trans(s399, s243)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s243)) <=> (until2p7(s243) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s243)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43094,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s243)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s243) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s243))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43093])).
% 15.11/10.84 tff(43095,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s243)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s243)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43094, 43092])).
% 15.11/10.84 tff(43096,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s243)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s243))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43097,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s243))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43096, 43095])).
% 15.11/10.84 tff(43098,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43097, 37542, 43091, 38491, 43090, 40730])).
% 15.11/10.84 tff(43099,plain,((~trans(s399, s243)) | until2p7(s243) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43100,plain,
% 15.11/10.84 (~trans(s399, s243)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43099, 39263, 37532])).
% 15.11/10.84 tff(43101,assumption,(~until2p7(s19)), introduced(assumption)).
% 15.11/10.84 tff(43102,assumption,(trans(s399, s19)), introduced(assumption)).
% 15.11/10.84 tff(43103,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s19)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43104,plain,
% 15.11/10.84 (((~trans(s399, s19)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s19)) <=> (until2p7(s19) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s19)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43105,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s19)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s19))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43104])).
% 15.11/10.84 tff(43106,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s19)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s19)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43105, 43103])).
% 15.11/10.84 tff(43107,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s19)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s19))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43108,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s19))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43107, 43106])).
% 15.11/10.84 tff(43109,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43108, 37542, 43102, 38491, 43101, 40730])).
% 15.11/10.84 tff(43110,plain,((~trans(s399, s19)) | until2p7(s19) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43111,plain,
% 15.11/10.84 (~trans(s399, s19)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43110, 41983, 37532])).
% 15.11/10.84 tff(43112,assumption,(~until2p7(s273)), introduced(assumption)).
% 15.11/10.84 tff(43113,assumption,(trans(s399, s273)), introduced(assumption)).
% 15.11/10.84 tff(43114,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s273) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s273)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s273)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43115,plain,
% 15.11/10.84 (((~trans(s399, s273)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s273)) <=> (until2p7(s273) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s273)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43116,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s273)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s273) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s273))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43115])).
% 15.11/10.84 tff(43117,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s273)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s273)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43116, 43114])).
% 15.11/10.84 tff(43118,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s273)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s273))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43119,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s273))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43118, 43117])).
% 15.11/10.84 tff(43120,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43119, 37542, 43113, 38491, 43112, 40730])).
% 15.11/10.84 tff(43121,plain,((~trans(s399, s273)) | until2p7(s273) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43122,plain,
% 15.11/10.84 (~trans(s399, s273)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43121, 38903, 37532])).
% 15.11/10.84 tff(43123,assumption,(~until2p7(s381)), introduced(assumption)).
% 15.11/10.84 tff(43124,assumption,(trans(s399, s381)), introduced(assumption)).
% 15.11/10.84 tff(43125,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s381) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s381)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s381) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s381)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43126,plain,
% 15.11/10.84 (((~trans(s399, s381)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s381)) <=> (until2p7(s381) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s381)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43127,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s381)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s381) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s381))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43126])).
% 15.11/10.84 tff(43128,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s381)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s381) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s381)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43127, 43125])).
% 15.11/10.84 tff(43129,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s381)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s381))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43130,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s381) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s381))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43129, 43128])).
% 15.11/10.84 tff(43131,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43130, 37542, 43124, 38491, 43123, 40730])).
% 15.11/10.84 tff(43132,plain,((~trans(s399, s381)) | until2p7(s381) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43133,plain,
% 15.11/10.84 (~trans(s399, s381)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43132, 37751, 37532])).
% 15.11/10.84 tff(43134,assumption,(~until2p7(s45)), introduced(assumption)).
% 15.11/10.84 tff(43135,assumption,(trans(s399, s45)), introduced(assumption)).
% 15.11/10.84 tff(43136,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s45)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43137,plain,
% 15.11/10.84 (((~trans(s399, s45)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s45)) <=> (until2p7(s45) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s45)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43138,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s45)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s45))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43137])).
% 15.11/10.84 tff(43139,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s45)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s45)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43138, 43136])).
% 15.11/10.84 tff(43140,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s45)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s45))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43141,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s45))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43140, 43139])).
% 15.11/10.84 tff(43142,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43141, 37542, 43135, 38491, 43134, 40730])).
% 15.11/10.84 tff(43143,plain,((~trans(s399, s45)) | until2p7(s45) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43144,plain,
% 15.11/10.84 (~trans(s399, s45)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43143, 41676, 37532])).
% 15.11/10.84 tff(43145,assumption,(~until2p7(s279)), introduced(assumption)).
% 15.11/10.84 tff(43146,assumption,(trans(s399, s279)), introduced(assumption)).
% 15.11/10.84 tff(43147,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s279) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s279)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s279)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43148,plain,
% 15.11/10.84 (((~trans(s399, s279)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s279)) <=> (until2p7(s279) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s279)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43149,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s279)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s279) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s279))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43148])).
% 15.11/10.84 tff(43150,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s279)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s279)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43149, 43147])).
% 15.11/10.84 tff(43151,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s279)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s279))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43152,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s279))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43151, 43150])).
% 15.11/10.84 tff(43153,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43152, 37542, 43146, 38491, 43145, 40730])).
% 15.11/10.84 tff(43154,plain,((~trans(s399, s279)) | until2p7(s279) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43155,plain,
% 15.11/10.84 (~trans(s399, s279)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43154, 38831, 37532])).
% 15.11/10.84 tff(43156,assumption,(~until2p7(s179)), introduced(assumption)).
% 15.11/10.84 tff(43157,assumption,(trans(s399, s179)), introduced(assumption)).
% 15.11/10.84 tff(43158,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s179) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s179)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43159,plain,
% 15.11/10.84 (((~trans(s399, s179)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s179)) <=> (until2p7(s179) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s179)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43160,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s179)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s179) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s179))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43159])).
% 15.11/10.84 tff(43161,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s179)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s179)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43160, 43158])).
% 15.11/10.84 tff(43162,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s179)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s179))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43163,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s179))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43162, 43161])).
% 15.11/10.84 tff(43164,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43163, 37542, 43157, 38491, 43156, 40730])).
% 15.11/10.84 tff(43165,plain,((~trans(s399, s179)) | until2p7(s179) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43166,plain,
% 15.11/10.84 (~trans(s399, s179)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43165, 40024, 37532])).
% 15.11/10.84 tff(43167,assumption,(~until2p7(s206)), introduced(assumption)).
% 15.11/10.84 tff(43168,assumption,(trans(s399, s206)), introduced(assumption)).
% 15.11/10.84 tff(43169,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s206) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s206)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s206)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43170,plain,
% 15.11/10.84 (((~trans(s399, s206)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s206)) <=> (until2p7(s206) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s206)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43171,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s206)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s206) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s206))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43170])).
% 15.11/10.84 tff(43172,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s206)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s206)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43171, 43169])).
% 15.11/10.84 tff(43173,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s206)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s206))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43174,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s206))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43173, 43172])).
% 15.11/10.84 tff(43175,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43174, 37542, 43168, 38491, 43167, 40730])).
% 15.11/10.84 tff(43176,plain,((~trans(s399, s206)) | until2p7(s206) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43177,plain,
% 15.11/10.84 (~trans(s399, s206)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43176, 39705, 37532])).
% 15.11/10.84 tff(43178,assumption,(~until2p7(s155)), introduced(assumption)).
% 15.11/10.84 tff(43179,assumption,(trans(s399, s155)), introduced(assumption)).
% 15.11/10.84 tff(43180,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s155) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s155)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43181,plain,
% 15.11/10.84 (((~trans(s399, s155)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s155)) <=> (until2p7(s155) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s155)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43182,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s155)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s155) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s155))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43181])).
% 15.11/10.84 tff(43183,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s155)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s155)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43182, 43180])).
% 15.11/10.84 tff(43184,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s155)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s155))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43185,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s155))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43184, 43183])).
% 15.11/10.84 tff(43186,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43185, 37542, 43179, 38491, 43178, 40730])).
% 15.11/10.84 tff(43187,plain,((~trans(s399, s155)) | until2p7(s155) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43188,plain,
% 15.11/10.84 (~trans(s399, s155)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43187, 40307, 37532])).
% 15.11/10.84 tff(43189,assumption,(~until2p7(s114)), introduced(assumption)).
% 15.11/10.84 tff(43190,assumption,(trans(s399, s114)), introduced(assumption)).
% 15.11/10.84 tff(43191,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s114) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s114)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43192,plain,
% 15.11/10.84 (((~trans(s399, s114)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s114)) <=> (until2p7(s114) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s114)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43193,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s114)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s114) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s114))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43192])).
% 15.11/10.84 tff(43194,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s114)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s114)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43193, 43191])).
% 15.11/10.84 tff(43195,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s114)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s114))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43196,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s114))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43195, 43194])).
% 15.11/10.84 tff(43197,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43196, 37542, 43190, 38491, 43189, 40730])).
% 15.11/10.84 tff(43198,plain,((~trans(s399, s114)) | until2p7(s114) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43199,plain,
% 15.11/10.84 (~trans(s399, s114)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43198, 40845, 37532])).
% 15.11/10.84 tff(43200,assumption,(~until2p7(s7)), introduced(assumption)).
% 15.11/10.84 tff(43201,assumption,(trans(s399, s7)), introduced(assumption)).
% 15.11/10.84 tff(43202,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s7)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43203,plain,
% 15.11/10.84 (((~trans(s399, s7)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s7)) <=> (until2p7(s7) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s7)))),
% 15.11/10.84 inference(rewrite,[status(thm)],[])).
% 15.11/10.84 tff(43204,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s7)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s7))))),
% 15.11/10.84 inference(monotonicity,[status(thm)],[43203])).
% 15.11/10.84 tff(43205,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s7)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s7)))),
% 15.11/10.84 inference(transitivity,[status(thm)],[43204, 43202])).
% 15.11/10.84 tff(43206,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s7)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s7))),
% 15.11/10.84 inference(quant_inst,[status(thm)],[])).
% 15.11/10.84 tff(43207,plain,
% 15.11/10.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s7))),
% 15.11/10.84 inference(modus_ponens,[status(thm)],[43206, 43205])).
% 15.11/10.84 tff(43208,plain,
% 15.11/10.84 ($false),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43207, 37542, 43201, 38491, 43200, 40730])).
% 15.11/10.84 tff(43209,plain,((~trans(s399, s7)) | until2p7(s7) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.84 tff(43210,plain,
% 15.11/10.84 (~trans(s399, s7)),
% 15.11/10.84 inference(unit_resolution,[status(thm)],[43209, 42126, 37532])).
% 15.11/10.84 tff(43211,assumption,(~until2p7(s236)), introduced(assumption)).
% 15.11/10.84 tff(43212,assumption,(trans(s399, s236)), introduced(assumption)).
% 15.11/10.84 tff(43213,plain,
% 15.11/10.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s236) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s236)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s236)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43214,plain,
% 15.11/10.85 (((~trans(s399, s236)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s236)) <=> (until2p7(s236) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s236)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43215,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s236)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s236) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s236))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43214])).
% 15.11/10.85 tff(43216,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s236)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s236)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43215, 43213])).
% 15.11/10.85 tff(43217,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s236)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s236))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43218,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s236))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43217, 43216])).
% 15.11/10.85 tff(43219,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43218, 37542, 43212, 38491, 43211, 40730])).
% 15.11/10.85 tff(43220,plain,((~trans(s399, s236)) | until2p7(s236) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43221,plain,
% 15.11/10.85 (~trans(s399, s236)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43220, 39347, 37532])).
% 15.11/10.85 tff(43222,assumption,(~until2p7(s321)), introduced(assumption)).
% 15.11/10.85 tff(43223,assumption,(trans(s399, s321)), introduced(assumption)).
% 15.11/10.85 tff(43224,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s321) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s321)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s321) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s321)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43225,plain,
% 15.11/10.85 (((~trans(s399, s321)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s321)) <=> (until2p7(s321) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s321)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43226,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s321)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s321) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s321))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43225])).
% 15.11/10.85 tff(43227,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s321)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s321) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s321)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43226, 43224])).
% 15.11/10.85 tff(43228,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s321)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s321))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43229,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s321) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s321))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43228, 43227])).
% 15.11/10.85 tff(43230,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43229, 37542, 43223, 38491, 43222, 40730])).
% 15.11/10.85 tff(43231,plain,((~trans(s399, s321)) | until2p7(s321) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43232,plain,
% 15.11/10.85 (~trans(s399, s321)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43231, 38351, 37532])).
% 15.11/10.85 tff(43233,assumption,(~until2p7(s365)), introduced(assumption)).
% 15.11/10.85 tff(43234,assumption,(trans(s399, s365)), introduced(assumption)).
% 15.11/10.85 tff(43235,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s365) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s365)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s365) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s365)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43236,plain,
% 15.11/10.85 (((~trans(s399, s365)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s365)) <=> (until2p7(s365) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s365)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43237,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s365)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s365) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s365))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43236])).
% 15.11/10.85 tff(43238,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s365)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s365) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s365)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43237, 43235])).
% 15.11/10.85 tff(43239,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s365)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s365))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43240,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s365) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s365))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43239, 43238])).
% 15.11/10.85 tff(43241,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43240, 37542, 43234, 38491, 43233, 40730])).
% 15.11/10.85 tff(43242,plain,((~trans(s399, s365)) | until2p7(s365) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43243,plain,
% 15.11/10.85 (~trans(s399, s365)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43242, 37911, 37532])).
% 15.11/10.85 tff(43244,assumption,(~until2p7(s135)), introduced(assumption)).
% 15.11/10.85 tff(43245,assumption,(trans(s399, s135)), introduced(assumption)).
% 15.11/10.85 tff(43246,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s135) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s135)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43247,plain,
% 15.11/10.85 (((~trans(s399, s135)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s135)) <=> (until2p7(s135) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s135)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43248,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s135)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s135) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s135))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43247])).
% 15.11/10.85 tff(43249,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s135)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s135)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43248, 43246])).
% 15.11/10.85 tff(43250,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s135)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s135))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43251,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s135))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43250, 43249])).
% 15.11/10.85 tff(43252,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43251, 37542, 43245, 38491, 43244, 40730])).
% 15.11/10.85 tff(43253,plain,((~trans(s399, s135)) | until2p7(s135) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43254,plain,
% 15.11/10.85 (~trans(s399, s135)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43253, 40539, 37532])).
% 15.11/10.85 tff(43255,assumption,(~until2p7(s203)), introduced(assumption)).
% 15.11/10.85 tff(43256,assumption,(trans(s399, s203)), introduced(assumption)).
% 15.11/10.85 tff(43257,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s203) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s203)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s203)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43258,plain,
% 15.11/10.85 (((~trans(s399, s203)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s203)) <=> (until2p7(s203) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s203)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43259,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s203)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s203) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s203))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43258])).
% 15.11/10.85 tff(43260,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s203)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s203)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43259, 43257])).
% 15.11/10.85 tff(43261,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s203)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s203))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43262,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s203))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43261, 43260])).
% 15.11/10.85 tff(43263,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43262, 37542, 43256, 38491, 43255, 40730])).
% 15.11/10.85 tff(43264,plain,((~trans(s399, s203)) | until2p7(s203) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43265,plain,
% 15.11/10.85 (~trans(s399, s203)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43264, 39740, 37532])).
% 15.11/10.85 tff(43266,assumption,(~until2p7(s292)), introduced(assumption)).
% 15.11/10.85 tff(43267,assumption,(trans(s399, s292)), introduced(assumption)).
% 15.11/10.85 tff(43268,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s292) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s292)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s292)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43269,plain,
% 15.11/10.85 (((~trans(s399, s292)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s292)) <=> (until2p7(s292) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s292)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43270,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s292)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s292) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s292))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43269])).
% 15.11/10.85 tff(43271,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s292)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s292)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43270, 43268])).
% 15.11/10.85 tff(43272,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s292)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s292))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43273,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s292))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43272, 43271])).
% 15.11/10.85 tff(43274,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43273, 37542, 43267, 38491, 43266, 40730])).
% 15.11/10.85 tff(43275,plain,((~trans(s399, s292)) | until2p7(s292) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43276,plain,
% 15.11/10.85 (~trans(s399, s292)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43275, 38676, 37532])).
% 15.11/10.85 tff(43277,assumption,(~until2p7(s215)), introduced(assumption)).
% 15.11/10.85 tff(43278,assumption,(trans(s399, s215)), introduced(assumption)).
% 15.11/10.85 tff(43279,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s215) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s215)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s215)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43280,plain,
% 15.11/10.85 (((~trans(s399, s215)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s215)) <=> (until2p7(s215) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s215)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43281,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s215)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s215) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s215))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43280])).
% 15.11/10.85 tff(43282,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s215)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s215)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43281, 43279])).
% 15.11/10.85 tff(43283,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s215)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s215))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43284,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s215))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43283, 43282])).
% 15.11/10.85 tff(43285,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43284, 37542, 43278, 38491, 43277, 40730])).
% 15.11/10.85 tff(43286,plain,((~trans(s399, s215)) | until2p7(s215) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43287,plain,
% 15.11/10.85 (~trans(s399, s215)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43286, 39598, 37532])).
% 15.11/10.85 tff(43288,assumption,(~until2p7(s353)), introduced(assumption)).
% 15.11/10.85 tff(43289,assumption,(trans(s399, s353)), introduced(assumption)).
% 15.11/10.85 tff(43290,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s353) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s353)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s353) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s353)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43291,plain,
% 15.11/10.85 (((~trans(s399, s353)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s353)) <=> (until2p7(s353) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s353)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43292,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s353)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s353) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s353))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43291])).
% 15.11/10.85 tff(43293,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s353)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s353) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s353)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43292, 43290])).
% 15.11/10.85 tff(43294,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s353)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s353))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43295,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s353) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s353))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43294, 43293])).
% 15.11/10.85 tff(43296,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43295, 37542, 43289, 38491, 43288, 40730])).
% 15.11/10.85 tff(43297,plain,((~trans(s399, s353)) | until2p7(s353) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43298,plain,
% 15.11/10.85 (~trans(s399, s353)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43297, 38031, 37532])).
% 15.11/10.85 tff(43299,assumption,(~until2p7(s69)), introduced(assumption)).
% 15.11/10.85 tff(43300,assumption,(trans(s399, s69)), introduced(assumption)).
% 15.11/10.85 tff(43301,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s69)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43302,plain,
% 15.11/10.85 (((~trans(s399, s69)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s69)) <=> (until2p7(s69) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s69)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43303,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s69)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s69))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43302])).
% 15.11/10.85 tff(43304,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s69)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s69)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43303, 43301])).
% 15.11/10.85 tff(43305,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s69)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s69))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43306,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s69))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43305, 43304])).
% 15.11/10.85 tff(43307,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43306, 37542, 43300, 38491, 43299, 40730])).
% 15.11/10.85 tff(43308,plain,((~trans(s399, s69)) | until2p7(s69) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43309,plain,
% 15.11/10.85 (~trans(s399, s69)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43308, 41388, 37532])).
% 15.11/10.85 tff(43310,assumption,(~until2p7(s145)), introduced(assumption)).
% 15.11/10.85 tff(43311,assumption,(trans(s399, s145)), introduced(assumption)).
% 15.11/10.85 tff(43312,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s145) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s145)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43313,plain,
% 15.11/10.85 (((~trans(s399, s145)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s145)) <=> (until2p7(s145) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s145)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43314,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s145)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s145) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s145))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43313])).
% 15.11/10.85 tff(43315,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s145)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s145)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43314, 43312])).
% 15.11/10.85 tff(43316,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s145)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s145))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43317,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s145))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43316, 43315])).
% 15.11/10.85 tff(43318,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43317, 37542, 43311, 38491, 43310, 40730])).
% 15.11/10.85 tff(43319,plain,((~trans(s399, s145)) | until2p7(s145) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43320,plain,
% 15.11/10.85 (~trans(s399, s145)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43319, 40420, 37532])).
% 15.11/10.85 tff(43321,assumption,(~until2p7(s224)), introduced(assumption)).
% 15.11/10.85 tff(43322,assumption,(trans(s399, s224)), introduced(assumption)).
% 15.11/10.85 tff(43323,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s224) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s224)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s224)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43324,plain,
% 15.11/10.85 (((~trans(s399, s224)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s224)) <=> (until2p7(s224) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s224)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43325,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s224)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s224) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s224))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43324])).
% 15.11/10.85 tff(43326,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s224)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s224)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43325, 43323])).
% 15.11/10.85 tff(43327,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s224)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s224))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43328,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s224))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43327, 43326])).
% 15.11/10.85 tff(43329,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43328, 37542, 43322, 38491, 43321, 40730])).
% 15.11/10.85 tff(43330,plain,((~trans(s399, s224)) | until2p7(s224) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43331,plain,
% 15.11/10.85 (~trans(s399, s224)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43330, 39491, 37532])).
% 15.11/10.85 tff(43332,assumption,(~until2p7(s137)), introduced(assumption)).
% 15.11/10.85 tff(43333,assumption,(trans(s399, s137)), introduced(assumption)).
% 15.11/10.85 tff(43334,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s137) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s137)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43335,plain,
% 15.11/10.85 (((~trans(s399, s137)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s137)) <=> (until2p7(s137) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s137)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43336,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s137)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s137) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s137))))),
% 15.11/10.85 inference(monotonicity,[status(thm)],[43335])).
% 15.11/10.85 tff(43337,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s137)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s137)))),
% 15.11/10.85 inference(transitivity,[status(thm)],[43336, 43334])).
% 15.11/10.85 tff(43338,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s137)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s137))),
% 15.11/10.85 inference(quant_inst,[status(thm)],[])).
% 15.11/10.85 tff(43339,plain,
% 15.11/10.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s137))),
% 15.11/10.85 inference(modus_ponens,[status(thm)],[43338, 43337])).
% 15.11/10.85 tff(43340,plain,
% 15.11/10.85 ($false),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43339, 37542, 43333, 38491, 43332, 40730])).
% 15.11/10.85 tff(43341,plain,((~trans(s399, s137)) | until2p7(s137) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.85 tff(43342,plain,
% 15.11/10.85 (~trans(s399, s137)),
% 15.11/10.85 inference(unit_resolution,[status(thm)],[43341, 40517, 37532])).
% 15.11/10.85 tff(43343,assumption,(~until2p7(s205)), introduced(assumption)).
% 15.11/10.85 tff(43344,assumption,(trans(s399, s205)), introduced(assumption)).
% 15.11/10.85 tff(43345,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s205) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s205)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s205)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43346,plain,
% 15.11/10.85 (((~trans(s399, s205)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s205)) <=> (until2p7(s205) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s205)))),
% 15.11/10.85 inference(rewrite,[status(thm)],[])).
% 15.11/10.85 tff(43347,plain,
% 15.11/10.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s205)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s205) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s205))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43346])).
% 15.11/10.86 tff(43348,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s205)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s205)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43347, 43345])).
% 15.11/10.86 tff(43349,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s205)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s205))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43350,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s205))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43349, 43348])).
% 15.11/10.86 tff(43351,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43350, 37542, 43344, 38491, 43343, 40730])).
% 15.11/10.86 tff(43352,plain,((~trans(s399, s205)) | until2p7(s205) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43353,plain,
% 15.11/10.86 (~trans(s399, s205)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43352, 39715, 37532])).
% 15.11/10.86 tff(43354,assumption,(~until2p7(s226)), introduced(assumption)).
% 15.11/10.86 tff(43355,assumption,(trans(s399, s226)), introduced(assumption)).
% 15.11/10.86 tff(43356,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s226) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s226)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s226)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43357,plain,
% 15.11/10.86 (((~trans(s399, s226)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s226)) <=> (until2p7(s226) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s226)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43358,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s226)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s226) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s226))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43357])).
% 15.11/10.86 tff(43359,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s226)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s226)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43358, 43356])).
% 15.11/10.86 tff(43360,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s226)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s226))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43361,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s226))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43360, 43359])).
% 15.11/10.86 tff(43362,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43361, 37542, 43355, 38491, 43354, 40730])).
% 15.11/10.86 tff(43363,plain,((~trans(s399, s226)) | until2p7(s226) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43364,plain,
% 15.11/10.86 (~trans(s399, s226)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43363, 39467, 37532])).
% 15.11/10.86 tff(43365,assumption,(~until2p7(s163)), introduced(assumption)).
% 15.11/10.86 tff(43366,assumption,(trans(s399, s163)), introduced(assumption)).
% 15.11/10.86 tff(43367,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s163) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s163)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43368,plain,
% 15.11/10.86 (((~trans(s399, s163)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s163)) <=> (until2p7(s163) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s163)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43369,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s163)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s163) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s163))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43368])).
% 15.11/10.86 tff(43370,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s163)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s163)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43369, 43367])).
% 15.11/10.86 tff(43371,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s163)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s163))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43372,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s163))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43371, 43370])).
% 15.11/10.86 tff(43373,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43372, 37542, 43366, 38491, 43365, 40730])).
% 15.11/10.86 tff(43374,plain,((~trans(s399, s163)) | until2p7(s163) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43375,plain,
% 15.11/10.86 (~trans(s399, s163)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43374, 40212, 37532])).
% 15.11/10.86 tff(43376,assumption,(~until2p7(s71)), introduced(assumption)).
% 15.11/10.86 tff(43377,assumption,(trans(s399, s71)), introduced(assumption)).
% 15.11/10.86 tff(43378,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s71)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43379,plain,
% 15.11/10.86 (((~trans(s399, s71)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s71)) <=> (until2p7(s71) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s71)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43380,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s71)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s71))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43379])).
% 15.11/10.86 tff(43381,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s71)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s71)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43380, 43378])).
% 15.11/10.86 tff(43382,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s71)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s71))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43383,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s71))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43382, 43381])).
% 15.11/10.86 tff(43384,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43383, 37542, 43377, 38491, 43376, 40730])).
% 15.11/10.86 tff(43385,plain,((~trans(s399, s71)) | until2p7(s71) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43386,plain,
% 15.11/10.86 (~trans(s399, s71)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43385, 41364, 37532])).
% 15.11/10.86 tff(43387,assumption,(~until2p7(s208)), introduced(assumption)).
% 15.11/10.86 tff(43388,assumption,(trans(s399, s208)), introduced(assumption)).
% 15.11/10.86 tff(43389,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s208) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s208)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s208)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43390,plain,
% 15.11/10.86 (((~trans(s399, s208)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s208)) <=> (until2p7(s208) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s208)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43391,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s208)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s208) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s208))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43390])).
% 15.11/10.86 tff(43392,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s208)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s208)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43391, 43389])).
% 15.11/10.86 tff(43393,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s208)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s208))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43394,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s208))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43393, 43392])).
% 15.11/10.86 tff(43395,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43394, 37542, 43388, 38491, 43387, 40730])).
% 15.11/10.86 tff(43396,plain,((~trans(s399, s208)) | until2p7(s208) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43397,plain,
% 15.11/10.86 (~trans(s399, s208)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43396, 39682, 37532])).
% 15.11/10.86 tff(43398,assumption,(~until2p7(s188)), introduced(assumption)).
% 15.11/10.86 tff(43399,assumption,(trans(s399, s188)), introduced(assumption)).
% 15.11/10.86 tff(43400,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s188) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s188)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43401,plain,
% 15.11/10.86 (((~trans(s399, s188)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s188)) <=> (until2p7(s188) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s188)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43402,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s188)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s188) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s188))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43401])).
% 15.11/10.86 tff(43403,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s188)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s188)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43402, 43400])).
% 15.11/10.86 tff(43404,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s188)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s188))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43405,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s188))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43404, 43403])).
% 15.11/10.86 tff(43406,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43405, 37542, 43399, 38491, 43398, 40730])).
% 15.11/10.86 tff(43407,plain,((~trans(s399, s188)) | until2p7(s188) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43408,plain,
% 15.11/10.86 (~trans(s399, s188)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43407, 39917, 37532])).
% 15.11/10.86 tff(43409,assumption,(~until2p7(s74)), introduced(assumption)).
% 15.11/10.86 tff(43410,assumption,(trans(s399, s74)), introduced(assumption)).
% 15.11/10.86 tff(43411,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s74)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43412,plain,
% 15.11/10.86 (((~trans(s399, s74)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s74)) <=> (until2p7(s74) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s74)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43413,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s74)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s74))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43412])).
% 15.11/10.86 tff(43414,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s74)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s74)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43413, 43411])).
% 15.11/10.86 tff(43415,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s74)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s74))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43416,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s74))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43415, 43414])).
% 15.11/10.86 tff(43417,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43416, 37542, 43410, 38491, 43409, 40730])).
% 15.11/10.86 tff(43418,plain,((~trans(s399, s74)) | until2p7(s74) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43419,plain,
% 15.11/10.86 (~trans(s399, s74)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43418, 41328, 37532])).
% 15.11/10.86 tff(43420,assumption,(~until2p7(s67)), introduced(assumption)).
% 15.11/10.86 tff(43421,assumption,(trans(s399, s67)), introduced(assumption)).
% 15.11/10.86 tff(43422,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s67)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43423,plain,
% 15.11/10.86 (((~trans(s399, s67)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s67)) <=> (until2p7(s67) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s67)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43424,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s67)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s67))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43423])).
% 15.11/10.86 tff(43425,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s67)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s67)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43424, 43422])).
% 15.11/10.86 tff(43426,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s67)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s67))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43427,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s67))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43426, 43425])).
% 15.11/10.86 tff(43428,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43427, 37542, 43421, 38491, 43420, 40730])).
% 15.11/10.86 tff(43429,plain,((~trans(s399, s67)) | until2p7(s67) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43430,plain,
% 15.11/10.86 (~trans(s399, s67)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43429, 41412, 37532])).
% 15.11/10.86 tff(43431,assumption,(~until2p7(s5)), introduced(assumption)).
% 15.11/10.86 tff(43432,assumption,(trans(s399, s5)), introduced(assumption)).
% 15.11/10.86 tff(43433,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s5)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43434,plain,
% 15.11/10.86 (((~trans(s399, s5)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s5)) <=> (until2p7(s5) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s5)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43435,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s5)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s5))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43434])).
% 15.11/10.86 tff(43436,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s5)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s5)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43435, 43433])).
% 15.11/10.86 tff(43437,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s5)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s5))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43438,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s5))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43437, 43436])).
% 15.11/10.86 tff(43439,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43438, 37542, 43432, 38491, 43431, 40730])).
% 15.11/10.86 tff(43440,plain,((~trans(s399, s5)) | until2p7(s5) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43441,plain,
% 15.11/10.86 (~trans(s399, s5)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43440, 42150, 37532])).
% 15.11/10.86 tff(43442,assumption,(~until2p7(s149)), introduced(assumption)).
% 15.11/10.86 tff(43443,assumption,(trans(s399, s149)), introduced(assumption)).
% 15.11/10.86 tff(43444,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s149) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s149)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43445,plain,
% 15.11/10.86 (((~trans(s399, s149)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s149)) <=> (until2p7(s149) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s149)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43446,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s149)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s149) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s149))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43445])).
% 15.11/10.86 tff(43447,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s149)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s149)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43446, 43444])).
% 15.11/10.86 tff(43448,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s149)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s149))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43449,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s149))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43448, 43447])).
% 15.11/10.86 tff(43450,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43449, 37542, 43443, 38491, 43442, 40730])).
% 15.11/10.86 tff(43451,plain,((~trans(s399, s149)) | until2p7(s149) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43452,plain,
% 15.11/10.86 (~trans(s399, s149)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43451, 40377, 37532])).
% 15.11/10.86 tff(43453,assumption,(~until2p7(s84)), introduced(assumption)).
% 15.11/10.86 tff(43454,assumption,(trans(s399, s84)), introduced(assumption)).
% 15.11/10.86 tff(43455,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s84)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43456,plain,
% 15.11/10.86 (((~trans(s399, s84)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s84)) <=> (until2p7(s84) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s84)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43457,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s84)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s84))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43456])).
% 15.11/10.86 tff(43458,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s84)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s84)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43457, 43455])).
% 15.11/10.86 tff(43459,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s84)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s84))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43460,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s84))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43459, 43458])).
% 15.11/10.86 tff(43461,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43460, 37542, 43454, 38491, 43453, 40730])).
% 15.11/10.86 tff(43462,plain,((~trans(s399, s84)) | until2p7(s84) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43463,plain,
% 15.11/10.86 (~trans(s399, s84)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43462, 41207, 37532])).
% 15.11/10.86 tff(43464,assumption,(~until2p7(s197)), introduced(assumption)).
% 15.11/10.86 tff(43465,assumption,(trans(s399, s197)), introduced(assumption)).
% 15.11/10.86 tff(43466,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s197) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s197)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s197)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43467,plain,
% 15.11/10.86 (((~trans(s399, s197)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s197)) <=> (until2p7(s197) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s197)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43468,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s197)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s197) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s197))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43467])).
% 15.11/10.86 tff(43469,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s197)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s197)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43468, 43466])).
% 15.11/10.86 tff(43470,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s197)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s197))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43471,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s197))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43470, 43469])).
% 15.11/10.86 tff(43472,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43471, 37542, 43465, 38491, 43464, 40730])).
% 15.11/10.86 tff(43473,plain,((~trans(s399, s197)) | until2p7(s197) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43474,plain,
% 15.11/10.86 (~trans(s399, s197)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43473, 39811, 37532])).
% 15.11/10.86 tff(43475,assumption,(~until2p7(s111)), introduced(assumption)).
% 15.11/10.86 tff(43476,assumption,(trans(s399, s111)), introduced(assumption)).
% 15.11/10.86 tff(43477,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s111) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s111)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43478,plain,
% 15.11/10.86 (((~trans(s399, s111)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s111)) <=> (until2p7(s111) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s111)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43479,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s111)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s111) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s111))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43478])).
% 15.11/10.86 tff(43480,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s111)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s111)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43479, 43477])).
% 15.11/10.86 tff(43481,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s111)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s111))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43482,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s111))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43481, 43480])).
% 15.11/10.86 tff(43483,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43482, 37542, 43476, 38491, 43475, 40730])).
% 15.11/10.86 tff(43484,plain,((~trans(s399, s111)) | until2p7(s111) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43485,plain,
% 15.11/10.86 (~trans(s399, s111)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43484, 40881, 37532])).
% 15.11/10.86 tff(43486,assumption,(~until2p7(s286)), introduced(assumption)).
% 15.11/10.86 tff(43487,assumption,(trans(s399, s286)), introduced(assumption)).
% 15.11/10.86 tff(43488,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s286) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s286)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s286)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43489,plain,
% 15.11/10.86 (((~trans(s399, s286)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s286)) <=> (until2p7(s286) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s286)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43490,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s286)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s286) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s286))))),
% 15.11/10.86 inference(monotonicity,[status(thm)],[43489])).
% 15.11/10.86 tff(43491,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s286)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s286)))),
% 15.11/10.86 inference(transitivity,[status(thm)],[43490, 43488])).
% 15.11/10.86 tff(43492,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s286)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s286))),
% 15.11/10.86 inference(quant_inst,[status(thm)],[])).
% 15.11/10.86 tff(43493,plain,
% 15.11/10.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s286))),
% 15.11/10.86 inference(modus_ponens,[status(thm)],[43492, 43491])).
% 15.11/10.86 tff(43494,plain,
% 15.11/10.86 ($false),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43493, 37542, 43487, 38491, 43486, 40730])).
% 15.11/10.86 tff(43495,plain,((~trans(s399, s286)) | until2p7(s286) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.86 tff(43496,plain,
% 15.11/10.86 (~trans(s399, s286)),
% 15.11/10.86 inference(unit_resolution,[status(thm)],[43495, 38747, 37532])).
% 15.11/10.86 tff(43497,assumption,(~until2p7(s386)), introduced(assumption)).
% 15.11/10.86 tff(43498,assumption,(trans(s399, s386)), introduced(assumption)).
% 15.11/10.86 tff(43499,plain,
% 15.11/10.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s386) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s386)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s386) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s386)))),
% 15.11/10.86 inference(rewrite,[status(thm)],[])).
% 15.11/10.86 tff(43500,plain,
% 15.11/10.86 (((~trans(s399, s386)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s386)) <=> (until2p7(s386) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s386)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43501,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s386)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s386) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s386))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43500])).
% 15.11/10.87 tff(43502,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s386)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s386) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s386)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43501, 43499])).
% 15.11/10.87 tff(43503,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s386)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s386))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43504,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s386) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s386))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43503, 43502])).
% 15.11/10.87 tff(43505,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43504, 37542, 43498, 38491, 43497, 40730])).
% 15.11/10.87 tff(43506,plain,((~trans(s399, s386)) | until2p7(s386) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43507,plain,
% 15.11/10.87 (~trans(s399, s386)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43506, 37701, 37532])).
% 15.11/10.87 tff(43508,assumption,(~until2p7(s25)), introduced(assumption)).
% 15.11/10.87 tff(43509,assumption,(trans(s399, s25)), introduced(assumption)).
% 15.11/10.87 tff(43510,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s25)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43511,plain,
% 15.11/10.87 (((~trans(s399, s25)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s25)) <=> (until2p7(s25) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s25)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43512,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s25)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s25))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43511])).
% 15.11/10.87 tff(43513,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s25)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s25)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43512, 43510])).
% 15.11/10.87 tff(43514,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s25)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s25))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43515,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s25))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43514, 43513])).
% 15.11/10.87 tff(43516,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43515, 37542, 43509, 38491, 43508, 40730])).
% 15.11/10.87 tff(43517,plain,((~trans(s399, s25)) | until2p7(s25) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43518,plain,
% 15.11/10.87 (~trans(s399, s25)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43517, 41911, 37532])).
% 15.11/10.87 tff(43519,assumption,(~until2p7(s210)), introduced(assumption)).
% 15.11/10.87 tff(43520,assumption,(trans(s399, s210)), introduced(assumption)).
% 15.11/10.87 tff(43521,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s210) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s210)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s210)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43522,plain,
% 15.11/10.87 (((~trans(s399, s210)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s210)) <=> (until2p7(s210) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s210)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43523,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s210)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s210) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s210))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43522])).
% 15.11/10.87 tff(43524,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s210)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s210)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43523, 43521])).
% 15.11/10.87 tff(43525,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s210)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s210))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43526,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s210))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43525, 43524])).
% 15.11/10.87 tff(43527,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43526, 37542, 43520, 38491, 43519, 40730])).
% 15.11/10.87 tff(43528,plain,((~trans(s399, s210)) | until2p7(s210) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43529,plain,
% 15.11/10.87 (~trans(s399, s210)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43528, 39658, 37532])).
% 15.11/10.87 tff(43530,assumption,(~until2p7(s253)), introduced(assumption)).
% 15.11/10.87 tff(43531,assumption,(trans(s399, s253)), introduced(assumption)).
% 15.11/10.87 tff(43532,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s253) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s253)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s253)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43533,plain,
% 15.11/10.87 (((~trans(s399, s253)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s253)) <=> (until2p7(s253) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s253)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43534,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s253)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s253) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s253))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43533])).
% 15.11/10.87 tff(43535,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s253)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s253)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43534, 43532])).
% 15.11/10.87 tff(43536,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s253)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s253))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43537,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s253))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43536, 43535])).
% 15.11/10.87 tff(43538,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43537, 37542, 43531, 38491, 43530, 40730])).
% 15.11/10.87 tff(43539,plain,((~trans(s399, s253)) | until2p7(s253) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43540,plain,
% 15.11/10.87 (~trans(s399, s253)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43539, 39143, 37532])).
% 15.11/10.87 tff(43541,assumption,(~until2p7(s65)), introduced(assumption)).
% 15.11/10.87 tff(43542,assumption,(trans(s399, s65)), introduced(assumption)).
% 15.11/10.87 tff(43543,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s65)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43544,plain,
% 15.11/10.87 (((~trans(s399, s65)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s65)) <=> (until2p7(s65) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s65)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43545,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s65)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s65))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43544])).
% 15.11/10.87 tff(43546,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s65)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s65)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43545, 43543])).
% 15.11/10.87 tff(43547,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s65)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s65))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43548,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s65))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43547, 43546])).
% 15.11/10.87 tff(43549,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43548, 37542, 43542, 38491, 43541, 40730])).
% 15.11/10.87 tff(43550,plain,((~trans(s399, s65)) | until2p7(s65) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43551,plain,
% 15.11/10.87 (~trans(s399, s65)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43550, 41436, 37532])).
% 15.11/10.87 tff(43552,assumption,(~until2p7(s265)), introduced(assumption)).
% 15.11/10.87 tff(43553,assumption,(trans(s399, s265)), introduced(assumption)).
% 15.11/10.87 tff(43554,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s265) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s265)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s265)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43555,plain,
% 15.11/10.87 (((~trans(s399, s265)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s265)) <=> (until2p7(s265) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s265)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43556,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s265)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s265) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s265))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43555])).
% 15.11/10.87 tff(43557,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s265)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s265)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43556, 43554])).
% 15.11/10.87 tff(43558,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s265)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s265))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43559,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s265))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43558, 43557])).
% 15.11/10.87 tff(43560,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43559, 37542, 43553, 38491, 43552, 40730])).
% 15.11/10.87 tff(43561,plain,((~trans(s399, s265)) | until2p7(s265) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43562,plain,
% 15.11/10.87 (~trans(s399, s265)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43561, 38999, 37532])).
% 15.11/10.87 tff(43563,assumption,(~until2p7(s220)), introduced(assumption)).
% 15.11/10.87 tff(43564,assumption,(trans(s399, s220)), introduced(assumption)).
% 15.11/10.87 tff(43565,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s220) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s220)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s220)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43566,plain,
% 15.11/10.87 (((~trans(s399, s220)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s220)) <=> (until2p7(s220) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s220)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43567,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s220)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s220) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s220))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43566])).
% 15.11/10.87 tff(43568,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s220)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s220)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43567, 43565])).
% 15.11/10.87 tff(43569,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s220)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s220))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43570,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s220))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43569, 43568])).
% 15.11/10.87 tff(43571,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43570, 37542, 43564, 38491, 43563, 40730])).
% 15.11/10.87 tff(43572,plain,((~trans(s399, s220)) | until2p7(s220) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43573,plain,
% 15.11/10.87 (~trans(s399, s220)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43572, 39539, 37532])).
% 15.11/10.87 tff(43574,assumption,(~until2p7(s302)), introduced(assumption)).
% 15.11/10.87 tff(43575,assumption,(trans(s399, s302)), introduced(assumption)).
% 15.11/10.87 tff(43576,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s302) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s302)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s302) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s302)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43577,plain,
% 15.11/10.87 (((~trans(s399, s302)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s302)) <=> (until2p7(s302) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s302)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43578,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s302)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s302) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s302))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43577])).
% 15.11/10.87 tff(43579,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s302)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s302) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s302)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43578, 43576])).
% 15.11/10.87 tff(43580,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s302)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s302))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43581,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s302) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s302))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43580, 43579])).
% 15.11/10.87 tff(43582,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43581, 37542, 43575, 38491, 43574, 40730])).
% 15.11/10.87 tff(43583,plain,((~trans(s399, s302)) | until2p7(s302) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43584,plain,
% 15.11/10.87 (~trans(s399, s302)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43583, 38556, 37532])).
% 15.11/10.87 tff(43585,assumption,(~until2p7(s56)), introduced(assumption)).
% 15.11/10.87 tff(43586,assumption,(trans(s399, s56)), introduced(assumption)).
% 15.11/10.87 tff(43587,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s56)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43588,plain,
% 15.11/10.87 (((~trans(s399, s56)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s56)) <=> (until2p7(s56) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s56)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43589,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s56)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s56))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43588])).
% 15.11/10.87 tff(43590,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s56)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s56)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43589, 43587])).
% 15.11/10.87 tff(43591,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s56)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s56))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43592,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s56))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43591, 43590])).
% 15.11/10.87 tff(43593,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43592, 37542, 43586, 38491, 43585, 40730])).
% 15.11/10.87 tff(43594,plain,((~trans(s399, s56)) | until2p7(s56) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43595,plain,
% 15.11/10.87 (~trans(s399, s56)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43594, 41544, 37532])).
% 15.11/10.87 tff(43596,assumption,(~until2p7(s134)), introduced(assumption)).
% 15.11/10.87 tff(43597,assumption,(trans(s399, s134)), introduced(assumption)).
% 15.11/10.87 tff(43598,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s134) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s134)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43599,plain,
% 15.11/10.87 (((~trans(s399, s134)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s134)) <=> (until2p7(s134) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s134)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43600,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s134)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s134) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s134))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43599])).
% 15.11/10.87 tff(43601,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s134)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s134)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43600, 43598])).
% 15.11/10.87 tff(43602,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s134)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s134))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43603,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s134))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43602, 43601])).
% 15.11/10.87 tff(43604,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43603, 37542, 43597, 38491, 43596, 40730])).
% 15.11/10.87 tff(43605,plain,((~trans(s399, s134)) | until2p7(s134) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43606,plain,
% 15.11/10.87 (~trans(s399, s134)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43605, 40552, 37532])).
% 15.11/10.87 tff(43607,assumption,(~until2p7(s130)), introduced(assumption)).
% 15.11/10.87 tff(43608,assumption,(trans(s399, s130)), introduced(assumption)).
% 15.11/10.87 tff(43609,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s130) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s130)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43610,plain,
% 15.11/10.87 (((~trans(s399, s130)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s130)) <=> (until2p7(s130) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s130)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43611,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s130)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s130) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s130))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43610])).
% 15.11/10.87 tff(43612,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s130)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s130)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43611, 43609])).
% 15.11/10.87 tff(43613,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s130)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s130))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43614,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s130))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43613, 43612])).
% 15.11/10.87 tff(43615,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43614, 37542, 43608, 38491, 43607, 40730])).
% 15.11/10.87 tff(43616,plain,((~trans(s399, s130)) | until2p7(s130) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43617,plain,
% 15.11/10.87 (~trans(s399, s130)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43616, 40600, 37532])).
% 15.11/10.87 tff(43618,assumption,(~until2p7(s228)), introduced(assumption)).
% 15.11/10.87 tff(43619,assumption,(trans(s399, s228)), introduced(assumption)).
% 15.11/10.87 tff(43620,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s228) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s228)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s228)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43621,plain,
% 15.11/10.87 (((~trans(s399, s228)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s228)) <=> (until2p7(s228) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s228)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43622,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s228)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s228) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s228))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43621])).
% 15.11/10.87 tff(43623,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s228)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s228)))),
% 15.11/10.87 inference(transitivity,[status(thm)],[43622, 43620])).
% 15.11/10.87 tff(43624,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s228)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s228))),
% 15.11/10.87 inference(quant_inst,[status(thm)],[])).
% 15.11/10.87 tff(43625,plain,
% 15.11/10.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s228))),
% 15.11/10.87 inference(modus_ponens,[status(thm)],[43624, 43623])).
% 15.11/10.87 tff(43626,plain,
% 15.11/10.87 ($false),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43625, 37542, 43619, 38491, 43618, 40730])).
% 15.11/10.87 tff(43627,plain,((~trans(s399, s228)) | until2p7(s228) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.87 tff(43628,plain,
% 15.11/10.87 (~trans(s399, s228)),
% 15.11/10.87 inference(unit_resolution,[status(thm)],[43627, 39443, 37532])).
% 15.11/10.87 tff(43629,assumption,(~until2p7(s138)), introduced(assumption)).
% 15.11/10.87 tff(43630,assumption,(trans(s399, s138)), introduced(assumption)).
% 15.11/10.87 tff(43631,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s138) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s138)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43632,plain,
% 15.11/10.87 (((~trans(s399, s138)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s138)) <=> (until2p7(s138) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s138)))),
% 15.11/10.87 inference(rewrite,[status(thm)],[])).
% 15.11/10.87 tff(43633,plain,
% 15.11/10.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s138)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s138) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s138))))),
% 15.11/10.87 inference(monotonicity,[status(thm)],[43632])).
% 15.11/10.88 tff(43634,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s138)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s138)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43633, 43631])).
% 15.11/10.88 tff(43635,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s138)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s138))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43636,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s138))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43635, 43634])).
% 15.11/10.88 tff(43637,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43636, 37542, 43630, 38491, 43629, 40730])).
% 15.11/10.88 tff(43638,plain,((~trans(s399, s138)) | until2p7(s138) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43639,plain,
% 15.11/10.88 (~trans(s399, s138)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43638, 40505, 37532])).
% 15.11/10.88 tff(43640,assumption,(~until2p7(s268)), introduced(assumption)).
% 15.11/10.88 tff(43641,assumption,(trans(s399, s268)), introduced(assumption)).
% 15.11/10.88 tff(43642,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s268) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s268)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s268)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43643,plain,
% 15.11/10.88 (((~trans(s399, s268)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s268)) <=> (until2p7(s268) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s268)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43644,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s268)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s268) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s268))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43643])).
% 15.11/10.88 tff(43645,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s268)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s268)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43644, 43642])).
% 15.11/10.88 tff(43646,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s268)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s268))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43647,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s268))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43646, 43645])).
% 15.11/10.88 tff(43648,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43647, 37542, 43641, 38491, 43640, 40730])).
% 15.11/10.88 tff(43649,plain,((~trans(s399, s268)) | until2p7(s268) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43650,plain,
% 15.11/10.88 (~trans(s399, s268)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43649, 38963, 37532])).
% 15.11/10.88 tff(43651,assumption,(~until2p7(s367)), introduced(assumption)).
% 15.11/10.88 tff(43652,assumption,(trans(s399, s367)), introduced(assumption)).
% 15.11/10.88 tff(43653,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s367) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s367)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s367) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s367)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43654,plain,
% 15.11/10.88 (((~trans(s399, s367)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s367)) <=> (until2p7(s367) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s367)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43655,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s367)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s367) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s367))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43654])).
% 15.11/10.88 tff(43656,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s367)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s367) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s367)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43655, 43653])).
% 15.11/10.88 tff(43657,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s367)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s367))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43658,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s367) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s367))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43657, 43656])).
% 15.11/10.88 tff(43659,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43658, 37542, 43652, 38491, 43651, 40730])).
% 15.11/10.88 tff(43660,plain,((~trans(s399, s367)) | until2p7(s367) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43661,plain,
% 15.11/10.88 (~trans(s399, s367)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43660, 37891, 37532])).
% 15.11/10.88 tff(43662,assumption,(~until2p7(s240)), introduced(assumption)).
% 15.11/10.88 tff(43663,assumption,(trans(s399, s240)), introduced(assumption)).
% 15.11/10.88 tff(43664,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s240) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s240)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s240)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43665,plain,
% 15.11/10.88 (((~trans(s399, s240)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s240)) <=> (until2p7(s240) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s240)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43666,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s240)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s240) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s240))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43665])).
% 15.11/10.88 tff(43667,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s240)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s240)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43666, 43664])).
% 15.11/10.88 tff(43668,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s240)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s240))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43669,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s240))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43668, 43667])).
% 15.11/10.88 tff(43670,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43669, 37542, 43663, 38491, 43662, 40730])).
% 15.11/10.88 tff(43671,plain,((~trans(s399, s240)) | until2p7(s240) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43672,plain,
% 15.11/10.88 (~trans(s399, s240)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43671, 39299, 37532])).
% 15.11/10.88 tff(43673,assumption,(~until2p7(s289)), introduced(assumption)).
% 15.11/10.88 tff(43674,assumption,(trans(s399, s289)), introduced(assumption)).
% 15.11/10.88 tff(43675,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s289) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s289)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s289)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43676,plain,
% 15.11/10.88 (((~trans(s399, s289)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s289)) <=> (until2p7(s289) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s289)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43677,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s289)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s289) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s289))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43676])).
% 15.11/10.88 tff(43678,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s289)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s289)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43677, 43675])).
% 15.11/10.88 tff(43679,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s289)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s289))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43680,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s289))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43679, 43678])).
% 15.11/10.88 tff(43681,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43680, 37542, 43674, 38491, 43673, 40730])).
% 15.11/10.88 tff(43682,plain,((~trans(s399, s289)) | until2p7(s289) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43683,plain,
% 15.11/10.88 (~trans(s399, s289)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43682, 38710, 37532])).
% 15.11/10.88 tff(43684,assumption,(~until2p7(s36)), introduced(assumption)).
% 15.11/10.88 tff(43685,assumption,(trans(s399, s36)), introduced(assumption)).
% 15.11/10.88 tff(43686,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s36)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43687,plain,
% 15.11/10.88 (((~trans(s399, s36)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s36)) <=> (until2p7(s36) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s36)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43688,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s36)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s36))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43687])).
% 15.11/10.88 tff(43689,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s36)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s36)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43688, 43686])).
% 15.11/10.88 tff(43690,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s36)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s36))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43691,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s36))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43690, 43689])).
% 15.11/10.88 tff(43692,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43691, 37542, 43685, 38491, 43684, 40730])).
% 15.11/10.88 tff(43693,plain,((~trans(s399, s36)) | until2p7(s36) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43694,plain,
% 15.11/10.88 (~trans(s399, s36)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43693, 41782, 37532])).
% 15.11/10.88 tff(43695,assumption,(~until2p7(s198)), introduced(assumption)).
% 15.11/10.88 tff(43696,assumption,(trans(s399, s198)), introduced(assumption)).
% 15.11/10.88 tff(43697,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s198) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s198)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43698,plain,
% 15.11/10.88 (((~trans(s399, s198)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s198)) <=> (until2p7(s198) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s198)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43699,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s198)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s198) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s198))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43698])).
% 15.11/10.88 tff(43700,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s198)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s198)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43699, 43697])).
% 15.11/10.88 tff(43701,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s198)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s198))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43702,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s198))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43701, 43700])).
% 15.11/10.88 tff(43703,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43702, 37542, 43696, 38491, 43695, 40730])).
% 15.11/10.88 tff(43704,plain,((~trans(s399, s198)) | until2p7(s198) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43705,plain,
% 15.11/10.88 (~trans(s399, s198)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43704, 39798, 37532])).
% 15.11/10.88 tff(43706,assumption,(~until2p7(s388)), introduced(assumption)).
% 15.11/10.88 tff(43707,assumption,(trans(s399, s388)), introduced(assumption)).
% 15.11/10.88 tff(43708,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s388) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s388)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s388) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s388)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43709,plain,
% 15.11/10.88 (((~trans(s399, s388)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s388)) <=> (until2p7(s388) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s388)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43710,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s388)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s388) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s388))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43709])).
% 15.11/10.88 tff(43711,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s388)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s388) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s388)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43710, 43708])).
% 15.11/10.88 tff(43712,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s388)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s388))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43713,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s388) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s388))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43712, 43711])).
% 15.11/10.88 tff(43714,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43713, 37542, 43707, 38491, 43706, 40730])).
% 15.11/10.88 tff(43715,plain,((~trans(s399, s388)) | until2p7(s388) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43716,plain,
% 15.11/10.88 (~trans(s399, s388)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43715, 37681, 37532])).
% 15.11/10.88 tff(43717,assumption,(~until2p7(s181)), introduced(assumption)).
% 15.11/10.88 tff(43718,assumption,(trans(s399, s181)), introduced(assumption)).
% 15.11/10.88 tff(43719,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s181) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s181)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43720,plain,
% 15.11/10.88 (((~trans(s399, s181)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s181)) <=> (until2p7(s181) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s181)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43721,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s181)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s181) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s181))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43720])).
% 15.11/10.88 tff(43722,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s181)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s181)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43721, 43719])).
% 15.11/10.88 tff(43723,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s181)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s181))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43724,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s181))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43723, 43722])).
% 15.11/10.88 tff(43725,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43724, 37542, 43718, 38491, 43717, 40730])).
% 15.11/10.88 tff(43726,plain,((~trans(s399, s181)) | until2p7(s181) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43727,plain,
% 15.11/10.88 (~trans(s399, s181)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43726, 40000, 37532])).
% 15.11/10.88 tff(43728,assumption,(~until2p7(s297)), introduced(assumption)).
% 15.11/10.88 tff(43729,assumption,(trans(s399, s297)), introduced(assumption)).
% 15.11/10.88 tff(43730,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s297) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s297)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s297)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43731,plain,
% 15.11/10.88 (((~trans(s399, s297)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s297)) <=> (until2p7(s297) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s297)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43732,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s297)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s297) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s297))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43731])).
% 15.11/10.88 tff(43733,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s297)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s297)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43732, 43730])).
% 15.11/10.88 tff(43734,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s297)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s297))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43735,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s297))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43734, 43733])).
% 15.11/10.88 tff(43736,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43735, 37542, 43729, 38491, 43728, 40730])).
% 15.11/10.88 tff(43737,plain,((~trans(s399, s297)) | until2p7(s297) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43738,plain,
% 15.11/10.88 (~trans(s399, s297)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43737, 38616, 37532])).
% 15.11/10.88 tff(43739,assumption,(~until2p7(s204)), introduced(assumption)).
% 15.11/10.88 tff(43740,assumption,(trans(s399, s204)), introduced(assumption)).
% 15.11/10.88 tff(43741,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s204) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s204)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s204)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43742,plain,
% 15.11/10.88 (((~trans(s399, s204)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s204)) <=> (until2p7(s204) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s204)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43743,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s204)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s204) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s204))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43742])).
% 15.11/10.88 tff(43744,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s204)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s204)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43743, 43741])).
% 15.11/10.88 tff(43745,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s204)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s204))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43746,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s204))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43745, 43744])).
% 15.11/10.88 tff(43747,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43746, 37542, 43740, 38491, 43739, 40730])).
% 15.11/10.88 tff(43748,plain,((~trans(s399, s204)) | until2p7(s204) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43749,plain,
% 15.11/10.88 (~trans(s399, s204)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43748, 39728, 37532])).
% 15.11/10.88 tff(43750,assumption,(~until2p7(s247)), introduced(assumption)).
% 15.11/10.88 tff(43751,assumption,(trans(s399, s247)), introduced(assumption)).
% 15.11/10.88 tff(43752,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s247) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s247)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s247)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43753,plain,
% 15.11/10.88 (((~trans(s399, s247)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s247)) <=> (until2p7(s247) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s247)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43754,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s247)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s247) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s247))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43753])).
% 15.11/10.88 tff(43755,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s247)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s247)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43754, 43752])).
% 15.11/10.88 tff(43756,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s247)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s247))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43757,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s247))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43756, 43755])).
% 15.11/10.88 tff(43758,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43757, 37542, 43751, 38491, 43750, 40730])).
% 15.11/10.88 tff(43759,plain,((~trans(s399, s247)) | until2p7(s247) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43760,plain,
% 15.11/10.88 (~trans(s399, s247)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43759, 39215, 37532])).
% 15.11/10.88 tff(43761,assumption,(~until2p7(s44)), introduced(assumption)).
% 15.11/10.88 tff(43762,assumption,(trans(s399, s44)), introduced(assumption)).
% 15.11/10.88 tff(43763,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s44)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43764,plain,
% 15.11/10.88 (((~trans(s399, s44)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s44)) <=> (until2p7(s44) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s44)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43765,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s44)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s44))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43764])).
% 15.11/10.88 tff(43766,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s44)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s44)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43765, 43763])).
% 15.11/10.88 tff(43767,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s44)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s44))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43768,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s44))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43767, 43766])).
% 15.11/10.88 tff(43769,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43768, 37542, 43762, 38491, 43761, 40730])).
% 15.11/10.88 tff(43770,plain,((~trans(s399, s44)) | until2p7(s44) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43771,plain,
% 15.11/10.88 (~trans(s399, s44)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43770, 41686, 37532])).
% 15.11/10.88 tff(43772,assumption,(~until2p7(s78)), introduced(assumption)).
% 15.11/10.88 tff(43773,assumption,(trans(s399, s78)), introduced(assumption)).
% 15.11/10.88 tff(43774,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s78)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43775,plain,
% 15.11/10.88 (((~trans(s399, s78)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s78)) <=> (until2p7(s78) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s78)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43776,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s78)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s78))))),
% 15.11/10.88 inference(monotonicity,[status(thm)],[43775])).
% 15.11/10.88 tff(43777,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s78)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s78)))),
% 15.11/10.88 inference(transitivity,[status(thm)],[43776, 43774])).
% 15.11/10.88 tff(43778,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s78)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s78))),
% 15.11/10.88 inference(quant_inst,[status(thm)],[])).
% 15.11/10.88 tff(43779,plain,
% 15.11/10.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s78))),
% 15.11/10.88 inference(modus_ponens,[status(thm)],[43778, 43777])).
% 15.11/10.88 tff(43780,plain,
% 15.11/10.88 ($false),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43779, 37542, 43773, 38491, 43772, 40730])).
% 15.11/10.88 tff(43781,plain,((~trans(s399, s78)) | until2p7(s78) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.88 tff(43782,plain,
% 15.11/10.88 (~trans(s399, s78)),
% 15.11/10.88 inference(unit_resolution,[status(thm)],[43781, 41280, 37532])).
% 15.11/10.88 tff(43783,assumption,(~until2p7(s193)), introduced(assumption)).
% 15.11/10.88 tff(43784,assumption,(trans(s399, s193)), introduced(assumption)).
% 15.11/10.88 tff(43785,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s193) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s193)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43786,plain,
% 15.11/10.88 (((~trans(s399, s193)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s193)) <=> (until2p7(s193) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s193)))),
% 15.11/10.88 inference(rewrite,[status(thm)],[])).
% 15.11/10.88 tff(43787,plain,
% 15.11/10.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s193)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s193) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s193))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43786])).
% 15.11/10.89 tff(43788,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s193)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s193)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43787, 43785])).
% 15.11/10.89 tff(43789,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s193)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s193))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43790,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s193))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43789, 43788])).
% 15.11/10.89 tff(43791,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43790, 37542, 43784, 38491, 43783, 40730])).
% 15.11/10.89 tff(43792,plain,((~trans(s399, s193)) | until2p7(s193) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43793,plain,
% 15.11/10.89 (~trans(s399, s193)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43792, 39859, 37532])).
% 15.11/10.89 tff(43794,assumption,(~until2p7(s52)), introduced(assumption)).
% 15.11/10.89 tff(43795,assumption,(trans(s399, s52)), introduced(assumption)).
% 15.11/10.89 tff(43796,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s52)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43797,plain,
% 15.11/10.89 (((~trans(s399, s52)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s52)) <=> (until2p7(s52) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s52)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43798,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s52)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s52))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43797])).
% 15.11/10.89 tff(43799,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s52)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s52)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43798, 43796])).
% 15.11/10.89 tff(43800,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s52)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s52))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43801,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s52))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43800, 43799])).
% 15.11/10.89 tff(43802,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43801, 37542, 43795, 38491, 43794, 40730])).
% 15.11/10.89 tff(43803,plain,((~trans(s399, s52)) | until2p7(s52) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43804,plain,
% 15.11/10.89 (~trans(s399, s52)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43803, 41592, 37532])).
% 15.11/10.89 tff(43805,assumption,(~until2p7(s146)), introduced(assumption)).
% 15.11/10.89 tff(43806,assumption,(trans(s399, s146)), introduced(assumption)).
% 15.11/10.89 tff(43807,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s146) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s146)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43808,plain,
% 15.11/10.89 (((~trans(s399, s146)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s146)) <=> (until2p7(s146) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s146)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43809,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s146)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s146) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s146))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43808])).
% 15.11/10.89 tff(43810,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s146)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s146)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43809, 43807])).
% 15.11/10.89 tff(43811,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s146)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s146))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43812,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s146))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43811, 43810])).
% 15.11/10.89 tff(43813,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43812, 37542, 43806, 38491, 43805, 40730])).
% 15.11/10.89 tff(43814,plain,((~trans(s399, s146)) | until2p7(s146) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43815,plain,
% 15.11/10.89 (~trans(s399, s146)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43814, 40410, 37532])).
% 15.11/10.89 tff(43816,assumption,(~until2p7(s262)), introduced(assumption)).
% 15.11/10.89 tff(43817,assumption,(trans(s399, s262)), introduced(assumption)).
% 15.11/10.89 tff(43818,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s262) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s262)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s262)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43819,plain,
% 15.11/10.89 (((~trans(s399, s262)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s262)) <=> (until2p7(s262) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s262)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43820,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s262)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s262) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s262))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43819])).
% 15.11/10.89 tff(43821,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s262)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s262)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43820, 43818])).
% 15.11/10.89 tff(43822,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s262)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s262))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43823,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s262))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43822, 43821])).
% 15.11/10.89 tff(43824,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43823, 37542, 43817, 38491, 43816, 40730])).
% 15.11/10.89 tff(43825,plain,((~trans(s399, s262)) | until2p7(s262) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43826,plain,
% 15.11/10.89 (~trans(s399, s262)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43825, 39035, 37532])).
% 15.11/10.89 tff(43827,assumption,(~until2p7(s174)), introduced(assumption)).
% 15.11/10.89 tff(43828,assumption,(trans(s399, s174)), introduced(assumption)).
% 15.11/10.89 tff(43829,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s174) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s174)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43830,plain,
% 15.11/10.89 (((~trans(s399, s174)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s174)) <=> (until2p7(s174) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s174)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43831,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s174)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s174) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s174))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43830])).
% 15.11/10.89 tff(43832,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s174)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s174)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43831, 43829])).
% 15.11/10.89 tff(43833,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s174)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s174))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43834,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s174))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43833, 43832])).
% 15.11/10.89 tff(43835,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43834, 37542, 43828, 38491, 43827, 40730])).
% 15.11/10.89 tff(43836,plain,((~trans(s399, s174)) | until2p7(s174) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43837,plain,
% 15.11/10.89 (~trans(s399, s174)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43836, 40084, 37532])).
% 15.11/10.89 tff(43838,assumption,(~until2p7(s250)), introduced(assumption)).
% 15.11/10.89 tff(43839,assumption,(trans(s399, s250)), introduced(assumption)).
% 15.11/10.89 tff(43840,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s250) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s250)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s250)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43841,plain,
% 15.11/10.89 (((~trans(s399, s250)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s250)) <=> (until2p7(s250) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s250)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43842,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s250)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s250) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s250))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43841])).
% 15.11/10.89 tff(43843,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s250)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s250)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43842, 43840])).
% 15.11/10.89 tff(43844,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s250)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s250))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43845,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s250))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43844, 43843])).
% 15.11/10.89 tff(43846,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43845, 37542, 43839, 38491, 43838, 40730])).
% 15.11/10.89 tff(43847,plain,((~trans(s399, s250)) | until2p7(s250) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43848,plain,
% 15.11/10.89 (~trans(s399, s250)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43847, 39179, 37532])).
% 15.11/10.89 tff(43849,assumption,(~until2p7(s212)), introduced(assumption)).
% 15.11/10.89 tff(43850,assumption,(trans(s399, s212)), introduced(assumption)).
% 15.11/10.89 tff(43851,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s212) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s212)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s212)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43852,plain,
% 15.11/10.89 (((~trans(s399, s212)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s212)) <=> (until2p7(s212) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s212)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43853,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s212)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s212) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s212))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43852])).
% 15.11/10.89 tff(43854,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s212)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s212)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43853, 43851])).
% 15.11/10.89 tff(43855,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s212)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s212))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43856,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s212))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43855, 43854])).
% 15.11/10.89 tff(43857,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43856, 37542, 43850, 38491, 43849, 40730])).
% 15.11/10.89 tff(43858,plain,((~trans(s399, s212)) | until2p7(s212) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43859,plain,
% 15.11/10.89 (~trans(s399, s212)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43858, 39634, 37532])).
% 15.11/10.89 tff(43860,assumption,(~until2p7(s209)), introduced(assumption)).
% 15.11/10.89 tff(43861,assumption,(trans(s399, s209)), introduced(assumption)).
% 15.11/10.89 tff(43862,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s209) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s209)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s209)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43863,plain,
% 15.11/10.89 (((~trans(s399, s209)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s209)) <=> (until2p7(s209) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s209)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43864,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s209)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s209) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s209))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43863])).
% 15.11/10.89 tff(43865,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s209)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s209)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43864, 43862])).
% 15.11/10.89 tff(43866,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s209)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s209))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43867,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s209))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43866, 43865])).
% 15.11/10.89 tff(43868,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43867, 37542, 43861, 38491, 43860, 40730])).
% 15.11/10.89 tff(43869,plain,((~trans(s399, s209)) | until2p7(s209) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43870,plain,
% 15.11/10.89 (~trans(s399, s209)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43869, 39670, 37532])).
% 15.11/10.89 tff(43871,assumption,(~until2p7(s22)), introduced(assumption)).
% 15.11/10.89 tff(43872,assumption,(trans(s399, s22)), introduced(assumption)).
% 15.11/10.89 tff(43873,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s22)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43874,plain,
% 15.11/10.89 (((~trans(s399, s22)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s22)) <=> (until2p7(s22) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s22)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43875,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s22)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s22))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43874])).
% 15.11/10.89 tff(43876,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s22)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s22)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43875, 43873])).
% 15.11/10.89 tff(43877,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s22)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s22))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43878,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s22))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43877, 43876])).
% 15.11/10.89 tff(43879,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43878, 37542, 43872, 38491, 43871, 40730])).
% 15.11/10.89 tff(43880,plain,((~trans(s399, s22)) | until2p7(s22) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43881,plain,
% 15.11/10.89 (~trans(s399, s22)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43880, 41947, 37532])).
% 15.11/10.89 tff(43882,assumption,(~until2p7(s66)), introduced(assumption)).
% 15.11/10.89 tff(43883,assumption,(trans(s399, s66)), introduced(assumption)).
% 15.11/10.89 tff(43884,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s66)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43885,plain,
% 15.11/10.89 (((~trans(s399, s66)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s66)) <=> (until2p7(s66) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s66)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43886,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s66)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s66))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43885])).
% 15.11/10.89 tff(43887,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s66)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s66)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43886, 43884])).
% 15.11/10.89 tff(43888,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s66)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s66))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43889,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s66))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43888, 43887])).
% 15.11/10.89 tff(43890,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43889, 37542, 43883, 38491, 43882, 40730])).
% 15.11/10.89 tff(43891,plain,((~trans(s399, s66)) | until2p7(s66) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43892,plain,
% 15.11/10.89 (~trans(s399, s66)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43891, 41424, 37532])).
% 15.11/10.89 tff(43893,assumption,(~until2p7(s192)), introduced(assumption)).
% 15.11/10.89 tff(43894,assumption,(trans(s399, s192)), introduced(assumption)).
% 15.11/10.89 tff(43895,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s192) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s192)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43896,plain,
% 15.11/10.89 (((~trans(s399, s192)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s192)) <=> (until2p7(s192) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s192)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43897,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s192)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s192) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s192))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43896])).
% 15.11/10.89 tff(43898,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s192)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s192)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43897, 43895])).
% 15.11/10.89 tff(43899,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s192)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s192))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43900,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s192))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43899, 43898])).
% 15.11/10.89 tff(43901,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43900, 37542, 43894, 38491, 43893, 40730])).
% 15.11/10.89 tff(43902,plain,((~trans(s399, s192)) | until2p7(s192) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43903,plain,
% 15.11/10.89 (~trans(s399, s192)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43902, 39869, 37532])).
% 15.11/10.89 tff(43904,assumption,(~until2p7(s104)), introduced(assumption)).
% 15.11/10.89 tff(43905,assumption,(trans(s399, s104)), introduced(assumption)).
% 15.11/10.89 tff(43906,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s104) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s104)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43907,plain,
% 15.11/10.89 (((~trans(s399, s104)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s104)) <=> (until2p7(s104) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s104)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43908,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s104)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s104) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s104))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43907])).
% 15.11/10.89 tff(43909,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s104)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s104)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43908, 43906])).
% 15.11/10.89 tff(43910,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s104)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s104))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43911,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s104))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43910, 43909])).
% 15.11/10.89 tff(43912,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43911, 37542, 43905, 38491, 43904, 40730])).
% 15.11/10.89 tff(43913,plain,((~trans(s399, s104)) | until2p7(s104) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43914,plain,
% 15.11/10.89 (~trans(s399, s104)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43913, 40964, 37532])).
% 15.11/10.89 tff(43915,assumption,(~until2p7(s196)), introduced(assumption)).
% 15.11/10.89 tff(43916,assumption,(trans(s399, s196)), introduced(assumption)).
% 15.11/10.89 tff(43917,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s196) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s196)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43918,plain,
% 15.11/10.89 (((~trans(s399, s196)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s196)) <=> (until2p7(s196) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s196)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43919,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s196)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s196) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s196))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43918])).
% 15.11/10.89 tff(43920,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s196)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s196)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43919, 43917])).
% 15.11/10.89 tff(43921,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s196)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s196))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43922,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s196))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43921, 43920])).
% 15.11/10.89 tff(43923,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43922, 37542, 43916, 38491, 43915, 40730])).
% 15.11/10.89 tff(43924,plain,((~trans(s399, s196)) | until2p7(s196) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43925,plain,
% 15.11/10.89 (~trans(s399, s196)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43924, 39823, 37532])).
% 15.11/10.89 tff(43926,assumption,(~until2p7(s396)), introduced(assumption)).
% 15.11/10.89 tff(43927,assumption,(trans(s399, s396)), introduced(assumption)).
% 15.11/10.89 tff(43928,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s396) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s396)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s396) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s396)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43929,plain,
% 15.11/10.89 (((~trans(s399, s396)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s396)) <=> (until2p7(s396) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s396)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43930,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s396)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s396) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s396))))),
% 15.11/10.89 inference(monotonicity,[status(thm)],[43929])).
% 15.11/10.89 tff(43931,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s396)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s396) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s396)))),
% 15.11/10.89 inference(transitivity,[status(thm)],[43930, 43928])).
% 15.11/10.89 tff(43932,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s396)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s396))),
% 15.11/10.89 inference(quant_inst,[status(thm)],[])).
% 15.11/10.89 tff(43933,plain,
% 15.11/10.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s396) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s396))),
% 15.11/10.89 inference(modus_ponens,[status(thm)],[43932, 43931])).
% 15.11/10.89 tff(43934,plain,
% 15.11/10.89 ($false),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43933, 37542, 43927, 38491, 43926, 40730])).
% 15.11/10.89 tff(43935,plain,((~trans(s399, s396)) | until2p7(s396) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.89 tff(43936,plain,
% 15.11/10.89 (~trans(s399, s396)),
% 15.11/10.89 inference(unit_resolution,[status(thm)],[43935, 37601, 37532])).
% 15.11/10.89 tff(43937,assumption,(~until2p7(s176)), introduced(assumption)).
% 15.11/10.89 tff(43938,assumption,(trans(s399, s176)), introduced(assumption)).
% 15.11/10.89 tff(43939,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s176) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s176)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43940,plain,
% 15.11/10.89 (((~trans(s399, s176)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s176)) <=> (until2p7(s176) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s176)))),
% 15.11/10.89 inference(rewrite,[status(thm)],[])).
% 15.11/10.89 tff(43941,plain,
% 15.11/10.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s176)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s176) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s176))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[43940])).
% 15.11/10.90 tff(43942,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s176)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s176)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[43941, 43939])).
% 15.11/10.90 tff(43943,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s176)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s176))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(43944,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s176))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[43943, 43942])).
% 15.11/10.90 tff(43945,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43944, 37542, 43938, 38491, 43937, 40730])).
% 15.11/10.90 tff(43946,plain,((~trans(s399, s176)) | until2p7(s176) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(43947,plain,
% 15.11/10.90 (~trans(s399, s176)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43946, 40060, 37532])).
% 15.11/10.90 tff(43948,assumption,(~until2p7(s361)), introduced(assumption)).
% 15.11/10.90 tff(43949,assumption,(trans(s399, s361)), introduced(assumption)).
% 15.11/10.90 tff(43950,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s361) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s361)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s361) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s361)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43951,plain,
% 15.11/10.90 (((~trans(s399, s361)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s361)) <=> (until2p7(s361) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s361)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43952,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s361)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s361) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s361))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[43951])).
% 15.11/10.90 tff(43953,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s361)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s361) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s361)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[43952, 43950])).
% 15.11/10.90 tff(43954,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s361)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s361))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(43955,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s361) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s361))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[43954, 43953])).
% 15.11/10.90 tff(43956,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43955, 37542, 43949, 38491, 43948, 40730])).
% 15.11/10.90 tff(43957,plain,((~trans(s399, s361)) | until2p7(s361) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(43958,plain,
% 15.11/10.90 (~trans(s399, s361)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43957, 37951, 37532])).
% 15.11/10.90 tff(43959,assumption,(~until2p7(s364)), introduced(assumption)).
% 15.11/10.90 tff(43960,assumption,(trans(s399, s364)), introduced(assumption)).
% 15.11/10.90 tff(43961,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s364) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s364)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s364) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s364)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43962,plain,
% 15.11/10.90 (((~trans(s399, s364)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s364)) <=> (until2p7(s364) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s364)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43963,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s364)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s364) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s364))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[43962])).
% 15.11/10.90 tff(43964,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s364)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s364) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s364)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[43963, 43961])).
% 15.11/10.90 tff(43965,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s364)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s364))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(43966,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s364) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s364))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[43965, 43964])).
% 15.11/10.90 tff(43967,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43966, 37542, 43960, 38491, 43959, 40730])).
% 15.11/10.90 tff(43968,plain,((~trans(s399, s364)) | until2p7(s364) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(43969,plain,
% 15.11/10.90 (~trans(s399, s364)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43968, 37921, 37532])).
% 15.11/10.90 tff(43970,assumption,(~until2p7(s295)), introduced(assumption)).
% 15.11/10.90 tff(43971,assumption,(trans(s399, s295)), introduced(assumption)).
% 15.11/10.90 tff(43972,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s295) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s295)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s295) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s295)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43973,plain,
% 15.11/10.90 (((~trans(s399, s295)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s295)) <=> (until2p7(s295) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s295)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43974,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s295)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s295) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s295))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[43973])).
% 15.11/10.90 tff(43975,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s295)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s295) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s295)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[43974, 43972])).
% 15.11/10.90 tff(43976,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s295)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s295))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(43977,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s295) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s295))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[43976, 43975])).
% 15.11/10.90 tff(43978,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43977, 37542, 43971, 38491, 43970, 40730])).
% 15.11/10.90 tff(43979,plain,((~trans(s399, s295)) | until2p7(s295) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(43980,plain,
% 15.11/10.90 (~trans(s399, s295)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43979, 38640, 37532])).
% 15.11/10.90 tff(43981,assumption,(~until2p7(s211)), introduced(assumption)).
% 15.11/10.90 tff(43982,assumption,(trans(s399, s211)), introduced(assumption)).
% 15.11/10.90 tff(43983,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s211) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s211)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s211)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43984,plain,
% 15.11/10.90 (((~trans(s399, s211)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s211)) <=> (until2p7(s211) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s211)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43985,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s211)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s211) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s211))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[43984])).
% 15.11/10.90 tff(43986,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s211)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s211)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[43985, 43983])).
% 15.11/10.90 tff(43987,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s211)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s211))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(43988,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s211))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[43987, 43986])).
% 15.11/10.90 tff(43989,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43988, 37542, 43982, 38491, 43981, 40730])).
% 15.11/10.90 tff(43990,plain,((~trans(s399, s211)) | until2p7(s211) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(43991,plain,
% 15.11/10.90 (~trans(s399, s211)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43990, 39646, 37532])).
% 15.11/10.90 tff(43992,assumption,(~until2p7(s142)), introduced(assumption)).
% 15.11/10.90 tff(43993,assumption,(trans(s399, s142)), introduced(assumption)).
% 15.11/10.90 tff(43994,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s142) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s142)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43995,plain,
% 15.11/10.90 (((~trans(s399, s142)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s142)) <=> (until2p7(s142) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s142)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(43996,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s142)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s142) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s142))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[43995])).
% 15.11/10.90 tff(43997,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s142)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s142)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[43996, 43994])).
% 15.11/10.90 tff(43998,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s142)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s142))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(43999,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s142))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[43998, 43997])).
% 15.11/10.90 tff(44000,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[43999, 37542, 43993, 38491, 43992, 40730])).
% 15.11/10.90 tff(44001,plain,((~trans(s399, s142)) | until2p7(s142) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(44002,plain,
% 15.11/10.90 (~trans(s399, s142)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44001, 40456, 37532])).
% 15.11/10.90 tff(44003,assumption,(~until2p7(s187)), introduced(assumption)).
% 15.11/10.90 tff(44004,assumption,(trans(s399, s187)), introduced(assumption)).
% 15.11/10.90 tff(44005,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s187) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s187)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44006,plain,
% 15.11/10.90 (((~trans(s399, s187)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s187)) <=> (until2p7(s187) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s187)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44007,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s187)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s187) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s187))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[44006])).
% 15.11/10.90 tff(44008,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s187)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s187)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[44007, 44005])).
% 15.11/10.90 tff(44009,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s187)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s187))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(44010,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s187))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[44009, 44008])).
% 15.11/10.90 tff(44011,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44010, 37542, 44004, 38491, 44003, 40730])).
% 15.11/10.90 tff(44012,plain,((~trans(s399, s187)) | until2p7(s187) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(44013,plain,
% 15.11/10.90 (~trans(s399, s187)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44012, 39929, 37532])).
% 15.11/10.90 tff(44014,assumption,(~until2p7(s89)), introduced(assumption)).
% 15.11/10.90 tff(44015,assumption,(trans(s399, s89)), introduced(assumption)).
% 15.11/10.90 tff(44016,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s89)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44017,plain,
% 15.11/10.90 (((~trans(s399, s89)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s89)) <=> (until2p7(s89) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s89)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44018,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s89)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s89))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[44017])).
% 15.11/10.90 tff(44019,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s89)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s89)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[44018, 44016])).
% 15.11/10.90 tff(44020,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s89)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s89))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(44021,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s89))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[44020, 44019])).
% 15.11/10.90 tff(44022,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44021, 37542, 44015, 38491, 44014, 40730])).
% 15.11/10.90 tff(44023,plain,((~trans(s399, s89)) | until2p7(s89) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(44024,plain,
% 15.11/10.90 (~trans(s399, s89)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44023, 41149, 37532])).
% 15.11/10.90 tff(44025,assumption,(~until2p7(s186)), introduced(assumption)).
% 15.11/10.90 tff(44026,assumption,(trans(s399, s186)), introduced(assumption)).
% 15.11/10.90 tff(44027,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s186) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s186)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44028,plain,
% 15.11/10.90 (((~trans(s399, s186)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s186)) <=> (until2p7(s186) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s186)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44029,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s186)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s186) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s186))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[44028])).
% 15.11/10.90 tff(44030,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s186)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s186)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[44029, 44027])).
% 15.11/10.90 tff(44031,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s186)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s186))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(44032,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s186))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[44031, 44030])).
% 15.11/10.90 tff(44033,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44032, 37542, 44026, 38491, 44025, 40730])).
% 15.11/10.90 tff(44034,plain,((~trans(s399, s186)) | until2p7(s186) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(44035,plain,
% 15.11/10.90 (~trans(s399, s186)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44034, 39941, 37532])).
% 15.11/10.90 tff(44036,assumption,(~until2p7(s17)), introduced(assumption)).
% 15.11/10.90 tff(44037,assumption,(trans(s399, s17)), introduced(assumption)).
% 15.11/10.90 tff(44038,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s17)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44039,plain,
% 15.11/10.90 (((~trans(s399, s17)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s17)) <=> (until2p7(s17) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s17)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44040,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s17)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s17))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[44039])).
% 15.11/10.90 tff(44041,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s17)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s17)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[44040, 44038])).
% 15.11/10.90 tff(44042,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s17)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s17))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(44043,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s17))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[44042, 44041])).
% 15.11/10.90 tff(44044,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44043, 37542, 44037, 38491, 44036, 40730])).
% 15.11/10.90 tff(44045,plain,((~trans(s399, s17)) | until2p7(s17) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(44046,plain,
% 15.11/10.90 (~trans(s399, s17)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44045, 42007, 37532])).
% 15.11/10.90 tff(44047,assumption,(~until2p7(s162)), introduced(assumption)).
% 15.11/10.90 tff(44048,assumption,(trans(s399, s162)), introduced(assumption)).
% 15.11/10.90 tff(44049,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s162) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s162)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44050,plain,
% 15.11/10.90 (((~trans(s399, s162)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s162)) <=> (until2p7(s162) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s162)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44051,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s162)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s162) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s162))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[44050])).
% 15.11/10.90 tff(44052,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s162)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s162)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[44051, 44049])).
% 15.11/10.90 tff(44053,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s162)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s162))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(44054,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s162))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[44053, 44052])).
% 15.11/10.90 tff(44055,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44054, 37542, 44048, 38491, 44047, 40730])).
% 15.11/10.90 tff(44056,plain,((~trans(s399, s162)) | until2p7(s162) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(44057,plain,
% 15.11/10.90 (~trans(s399, s162)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44056, 40222, 37532])).
% 15.11/10.90 tff(44058,assumption,(~until2p7(s70)), introduced(assumption)).
% 15.11/10.90 tff(44059,assumption,(trans(s399, s70)), introduced(assumption)).
% 15.11/10.90 tff(44060,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s70)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44061,plain,
% 15.11/10.90 (((~trans(s399, s70)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s70)) <=> (until2p7(s70) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s70)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44062,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s70)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s70))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[44061])).
% 15.11/10.90 tff(44063,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s70)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s70)))),
% 15.11/10.90 inference(transitivity,[status(thm)],[44062, 44060])).
% 15.11/10.90 tff(44064,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s70)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s70))),
% 15.11/10.90 inference(quant_inst,[status(thm)],[])).
% 15.11/10.90 tff(44065,plain,
% 15.11/10.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s70))),
% 15.11/10.90 inference(modus_ponens,[status(thm)],[44064, 44063])).
% 15.11/10.90 tff(44066,plain,
% 15.11/10.90 ($false),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44065, 37542, 44059, 38491, 44058, 40730])).
% 15.11/10.90 tff(44067,plain,((~trans(s399, s70)) | until2p7(s70) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.90 tff(44068,plain,
% 15.11/10.90 (~trans(s399, s70)),
% 15.11/10.90 inference(unit_resolution,[status(thm)],[44067, 41376, 37532])).
% 15.11/10.90 tff(44069,assumption,(~until2p7(s264)), introduced(assumption)).
% 15.11/10.90 tff(44070,assumption,(trans(s399, s264)), introduced(assumption)).
% 15.11/10.90 tff(44071,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s264) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s264)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s264)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44072,plain,
% 15.11/10.90 (((~trans(s399, s264)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s264)) <=> (until2p7(s264) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s264)))),
% 15.11/10.90 inference(rewrite,[status(thm)],[])).
% 15.11/10.90 tff(44073,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s264)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s264) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s264))))),
% 15.11/10.90 inference(monotonicity,[status(thm)],[44072])).
% 15.11/10.90 tff(44074,plain,
% 15.11/10.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s264)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s264)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44073, 44071])).
% 15.11/10.91 tff(44075,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s264)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s264))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44076,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s264))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44075, 44074])).
% 15.11/10.91 tff(44077,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44076, 37542, 44070, 38491, 44069, 40730])).
% 15.11/10.91 tff(44078,plain,((~trans(s399, s264)) | until2p7(s264) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44079,plain,
% 15.11/10.91 (~trans(s399, s264)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44078, 39011, 37532])).
% 15.11/10.91 tff(44080,assumption,(~until2p7(s276)), introduced(assumption)).
% 15.11/10.91 tff(44081,assumption,(trans(s399, s276)), introduced(assumption)).
% 15.11/10.91 tff(44082,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s276) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s276)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s276)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44083,plain,
% 15.11/10.91 (((~trans(s399, s276)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s276)) <=> (until2p7(s276) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s276)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44084,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s276)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s276) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s276))))),
% 15.11/10.91 inference(monotonicity,[status(thm)],[44083])).
% 15.11/10.91 tff(44085,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s276)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s276)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44084, 44082])).
% 15.11/10.91 tff(44086,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s276)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s276))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44087,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s276))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44086, 44085])).
% 15.11/10.91 tff(44088,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44087, 37542, 44081, 38491, 44080, 40730])).
% 15.11/10.91 tff(44089,plain,((~trans(s399, s276)) | until2p7(s276) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44090,plain,
% 15.11/10.91 (~trans(s399, s276)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44089, 38867, 37532])).
% 15.11/10.91 tff(44091,assumption,(~until2p7(s102)), introduced(assumption)).
% 15.11/10.91 tff(44092,assumption,(trans(s399, s102)), introduced(assumption)).
% 15.11/10.91 tff(44093,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s102) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s102)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44094,plain,
% 15.11/10.91 (((~trans(s399, s102)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s102)) <=> (until2p7(s102) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s102)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44095,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s102)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s102) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s102))))),
% 15.11/10.91 inference(monotonicity,[status(thm)],[44094])).
% 15.11/10.91 tff(44096,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s102)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s102)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44095, 44093])).
% 15.11/10.91 tff(44097,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s102)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s102))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44098,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s102))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44097, 44096])).
% 15.11/10.91 tff(44099,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44098, 37542, 44092, 38491, 44091, 40730])).
% 15.11/10.91 tff(44100,plain,((~trans(s399, s102)) | until2p7(s102) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44101,plain,
% 15.11/10.91 (~trans(s399, s102)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44100, 40988, 37532])).
% 15.11/10.91 tff(44102,assumption,(~until2p7(s136)), introduced(assumption)).
% 15.11/10.91 tff(44103,assumption,(trans(s399, s136)), introduced(assumption)).
% 15.11/10.91 tff(44104,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s136) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s136)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44105,plain,
% 15.11/10.91 (((~trans(s399, s136)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s136)) <=> (until2p7(s136) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s136)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44106,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s136)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s136) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s136))))),
% 15.11/10.91 inference(monotonicity,[status(thm)],[44105])).
% 15.11/10.91 tff(44107,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s136)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s136)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44106, 44104])).
% 15.11/10.91 tff(44108,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s136)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s136))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44109,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s136))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44108, 44107])).
% 15.11/10.91 tff(44110,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44109, 37542, 44103, 38491, 44102, 40730])).
% 15.11/10.91 tff(44111,plain,((~trans(s399, s136)) | until2p7(s136) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44112,plain,
% 15.11/10.91 (~trans(s399, s136)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44111, 40529, 37532])).
% 15.11/10.91 tff(44113,assumption,(~until2p7(s190)), introduced(assumption)).
% 15.11/10.91 tff(44114,assumption,(trans(s399, s190)), introduced(assumption)).
% 15.11/10.91 tff(44115,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s190) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s190)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44116,plain,
% 15.11/10.91 (((~trans(s399, s190)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s190)) <=> (until2p7(s190) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s190)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44117,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s190)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s190) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s190))))),
% 15.11/10.91 inference(monotonicity,[status(thm)],[44116])).
% 15.11/10.91 tff(44118,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s190)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s190)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44117, 44115])).
% 15.11/10.91 tff(44119,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s190)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s190))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44120,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s190))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44119, 44118])).
% 15.11/10.91 tff(44121,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44120, 37542, 44114, 38491, 44113, 40730])).
% 15.11/10.91 tff(44122,plain,((~trans(s399, s190)) | until2p7(s190) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44123,plain,
% 15.11/10.91 (~trans(s399, s190)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44122, 39892, 37532])).
% 15.11/10.91 tff(44124,assumption,(~until2p7(s81)), introduced(assumption)).
% 15.11/10.91 tff(44125,assumption,(trans(s399, s81)), introduced(assumption)).
% 15.11/10.91 tff(44126,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s81)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44127,plain,
% 15.11/10.91 (((~trans(s399, s81)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s81)) <=> (until2p7(s81) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s81)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44128,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s81)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s81))))),
% 15.11/10.91 inference(monotonicity,[status(thm)],[44127])).
% 15.11/10.91 tff(44129,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s81)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s81)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44128, 44126])).
% 15.11/10.91 tff(44130,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s81)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s81))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44131,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s81))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44130, 44129])).
% 15.11/10.91 tff(44132,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44131, 37542, 44125, 38491, 44124, 40730])).
% 15.11/10.91 tff(44133,plain,((~trans(s399, s81)) | until2p7(s81) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44134,plain,
% 15.11/10.91 (~trans(s399, s81)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44133, 41244, 37532])).
% 15.11/10.91 tff(44135,assumption,(~until2p7(s259)), introduced(assumption)).
% 15.11/10.91 tff(44136,assumption,(trans(s399, s259)), introduced(assumption)).
% 15.11/10.91 tff(44137,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s259) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s259)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s259)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44138,plain,
% 15.11/10.91 (((~trans(s399, s259)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s259)) <=> (until2p7(s259) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s259)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44139,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s259)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s259) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s259))))),
% 15.11/10.91 inference(monotonicity,[status(thm)],[44138])).
% 15.11/10.91 tff(44140,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s259)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s259)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44139, 44137])).
% 15.11/10.91 tff(44141,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s259)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s259))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44142,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s259))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44141, 44140])).
% 15.11/10.91 tff(44143,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44142, 37542, 44136, 38491, 44135, 40730])).
% 15.11/10.91 tff(44144,plain,((~trans(s399, s259)) | until2p7(s259) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44145,plain,
% 15.11/10.91 (~trans(s399, s259)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44144, 39071, 37532])).
% 15.11/10.91 tff(44146,assumption,(~until2p7(s157)), introduced(assumption)).
% 15.11/10.91 tff(44147,assumption,(trans(s399, s157)), introduced(assumption)).
% 15.11/10.91 tff(44148,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s157) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s157)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44149,plain,
% 15.11/10.91 (((~trans(s399, s157)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s157)) <=> (until2p7(s157) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s157)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44150,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s157)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s157) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s157))))),
% 15.11/10.91 inference(monotonicity,[status(thm)],[44149])).
% 15.11/10.91 tff(44151,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s157)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s157)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44150, 44148])).
% 15.11/10.91 tff(44152,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s157)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s157))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44153,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s157))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44152, 44151])).
% 15.11/10.91 tff(44154,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44153, 37542, 44147, 38491, 44146, 40730])).
% 15.11/10.91 tff(44155,plain,((~trans(s399, s157)) | until2p7(s157) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44156,plain,
% 15.11/10.91 (~trans(s399, s157)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44155, 40283, 37532])).
% 15.11/10.91 tff(44157,assumption,(~until2p7(s29)), introduced(assumption)).
% 15.11/10.91 tff(44158,assumption,(trans(s399, s29)), introduced(assumption)).
% 15.11/10.91 tff(44159,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s29)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44160,plain,
% 15.11/10.91 (((~trans(s399, s29)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s29)) <=> (until2p7(s29) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s29)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.11/10.91 tff(44161,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s29)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s29))))),
% 15.11/10.91 inference(monotonicity,[status(thm)],[44160])).
% 15.11/10.91 tff(44162,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s29)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s29)))),
% 15.11/10.91 inference(transitivity,[status(thm)],[44161, 44159])).
% 15.11/10.91 tff(44163,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s29)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s29))),
% 15.11/10.91 inference(quant_inst,[status(thm)],[])).
% 15.11/10.91 tff(44164,plain,
% 15.11/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s29))),
% 15.11/10.91 inference(modus_ponens,[status(thm)],[44163, 44162])).
% 15.11/10.91 tff(44165,plain,
% 15.11/10.91 ($false),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44164, 37542, 44158, 38491, 44157, 40730])).
% 15.11/10.91 tff(44166,plain,((~trans(s399, s29)) | until2p7(s29) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.11/10.91 tff(44167,plain,
% 15.11/10.91 (~trans(s399, s29)),
% 15.11/10.91 inference(unit_resolution,[status(thm)],[44166, 41862, 37532])).
% 15.11/10.91 tff(44168,assumption,(~until2p7(s127)), introduced(assumption)).
% 15.11/10.91 tff(44169,assumption,(trans(s399, s127)), introduced(assumption)).
% 15.11/10.91 tff(44170,plain,
% 15.11/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s127) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s127)))),
% 15.11/10.91 inference(rewrite,[status(thm)],[])).
% 15.20/10.91 tff(44171,plain,
% 15.20/10.91 (((~trans(s399, s127)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s127)) <=> (until2p7(s127) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s127)))),
% 15.20/10.91 inference(rewrite,[status(thm)],[])).
% 15.20/10.91 tff(44172,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s127)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s127) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s127))))),
% 15.20/10.91 inference(monotonicity,[status(thm)],[44171])).
% 15.20/10.91 tff(44173,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s127)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s127)))),
% 15.20/10.91 inference(transitivity,[status(thm)],[44172, 44170])).
% 15.20/10.91 tff(44174,plain,
% 15.20/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s127)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s127))),
% 15.20/10.91 inference(quant_inst,[status(thm)],[])).
% 15.20/10.91 tff(44175,plain,
% 15.20/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s127))),
% 15.20/10.91 inference(modus_ponens,[status(thm)],[44174, 44173])).
% 15.20/10.91 tff(44176,plain,
% 15.20/10.91 ($false),
% 15.20/10.91 inference(unit_resolution,[status(thm)],[44175, 37542, 44169, 38491, 44168, 40730])).
% 15.20/10.91 tff(44177,plain,((~trans(s399, s127)) | until2p7(s127) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.91 tff(44178,plain,
% 15.20/10.91 (~trans(s399, s127)),
% 15.20/10.91 inference(unit_resolution,[status(thm)],[44177, 40635, 37532])).
% 15.20/10.91 tff(44179,assumption,(~until2p7(s31)), introduced(assumption)).
% 15.20/10.91 tff(44180,assumption,(trans(s399, s31)), introduced(assumption)).
% 15.20/10.91 tff(44181,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s31)))),
% 15.20/10.91 inference(rewrite,[status(thm)],[])).
% 15.20/10.91 tff(44182,plain,
% 15.20/10.91 (((~trans(s399, s31)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s31)) <=> (until2p7(s31) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s31)))),
% 15.20/10.91 inference(rewrite,[status(thm)],[])).
% 15.20/10.91 tff(44183,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s31)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s31))))),
% 15.20/10.91 inference(monotonicity,[status(thm)],[44182])).
% 15.20/10.91 tff(44184,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s31)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s31)))),
% 15.20/10.91 inference(transitivity,[status(thm)],[44183, 44181])).
% 15.20/10.91 tff(44185,plain,
% 15.20/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s31)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s31))),
% 15.20/10.91 inference(quant_inst,[status(thm)],[])).
% 15.20/10.91 tff(44186,plain,
% 15.20/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s31))),
% 15.20/10.91 inference(modus_ponens,[status(thm)],[44185, 44184])).
% 15.20/10.91 tff(44187,plain,
% 15.20/10.91 ($false),
% 15.20/10.91 inference(unit_resolution,[status(thm)],[44186, 37542, 44180, 38491, 44179, 40730])).
% 15.20/10.91 tff(44188,plain,((~trans(s399, s31)) | until2p7(s31) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.91 tff(44189,plain,
% 15.20/10.91 (~trans(s399, s31)),
% 15.20/10.91 inference(unit_resolution,[status(thm)],[44188, 41839, 37532])).
% 15.20/10.91 tff(44190,assumption,(~until2p7(s105)), introduced(assumption)).
% 15.20/10.91 tff(44191,assumption,(trans(s399, s105)), introduced(assumption)).
% 15.20/10.91 tff(44192,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s105) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s105)))),
% 15.20/10.91 inference(rewrite,[status(thm)],[])).
% 15.20/10.91 tff(44193,plain,
% 15.20/10.91 (((~trans(s399, s105)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s105)) <=> (until2p7(s105) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s105)))),
% 15.20/10.91 inference(rewrite,[status(thm)],[])).
% 15.20/10.91 tff(44194,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s105)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s105) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s105))))),
% 15.20/10.91 inference(monotonicity,[status(thm)],[44193])).
% 15.20/10.91 tff(44195,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s105)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s105)))),
% 15.20/10.91 inference(transitivity,[status(thm)],[44194, 44192])).
% 15.20/10.91 tff(44196,plain,
% 15.20/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s105)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s105))),
% 15.20/10.91 inference(quant_inst,[status(thm)],[])).
% 15.20/10.91 tff(44197,plain,
% 15.20/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s105))),
% 15.20/10.91 inference(modus_ponens,[status(thm)],[44196, 44195])).
% 15.20/10.91 tff(44198,plain,
% 15.20/10.91 ($false),
% 15.20/10.91 inference(unit_resolution,[status(thm)],[44197, 37542, 44191, 38491, 44190, 40730])).
% 15.20/10.91 tff(44199,plain,((~trans(s399, s105)) | until2p7(s105) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.91 tff(44200,plain,
% 15.20/10.91 (~trans(s399, s105)),
% 15.20/10.91 inference(unit_resolution,[status(thm)],[44199, 40952, 37532])).
% 15.20/10.91 tff(44201,assumption,(~until2p7(s384)), introduced(assumption)).
% 15.20/10.91 tff(44202,assumption,(trans(s399, s384)), introduced(assumption)).
% 15.20/10.91 tff(44203,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s384) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s384)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s384) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s384)))),
% 15.20/10.91 inference(rewrite,[status(thm)],[])).
% 15.20/10.91 tff(44204,plain,
% 15.20/10.91 (((~trans(s399, s384)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s384)) <=> (until2p7(s384) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s384)))),
% 15.20/10.91 inference(rewrite,[status(thm)],[])).
% 15.20/10.91 tff(44205,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s384)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s384) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s384))))),
% 15.20/10.91 inference(monotonicity,[status(thm)],[44204])).
% 15.20/10.91 tff(44206,plain,
% 15.20/10.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s384)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s384) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s384)))),
% 15.20/10.91 inference(transitivity,[status(thm)],[44205, 44203])).
% 15.20/10.91 tff(44207,plain,
% 15.20/10.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s384)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s384))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44208,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s384) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s384))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44207, 44206])).
% 15.20/10.92 tff(44209,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44208, 37542, 44202, 38491, 44201, 40730])).
% 15.20/10.92 tff(44210,plain,((~trans(s399, s384)) | until2p7(s384) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44211,plain,
% 15.20/10.92 (~trans(s399, s384)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44210, 37721, 37532])).
% 15.20/10.92 tff(44212,assumption,(~until2p7(s370)), introduced(assumption)).
% 15.20/10.92 tff(44213,assumption,(trans(s399, s370)), introduced(assumption)).
% 15.20/10.92 tff(44214,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s370) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s370)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s370) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s370)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44215,plain,
% 15.20/10.92 (((~trans(s399, s370)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s370)) <=> (until2p7(s370) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s370)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44216,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s370)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s370) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s370))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44215])).
% 15.20/10.92 tff(44217,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s370)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s370) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s370)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44216, 44214])).
% 15.20/10.92 tff(44218,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s370)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s370))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44219,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s370) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s370))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44218, 44217])).
% 15.20/10.92 tff(44220,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44219, 37542, 44213, 38491, 44212, 40730])).
% 15.20/10.92 tff(44221,plain,((~trans(s399, s370)) | until2p7(s370) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44222,plain,
% 15.20/10.92 (~trans(s399, s370)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44221, 37861, 37532])).
% 15.20/10.92 tff(44223,assumption,(~until2p7(s229)), introduced(assumption)).
% 15.20/10.92 tff(44224,assumption,(trans(s399, s229)), introduced(assumption)).
% 15.20/10.92 tff(44225,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s229) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s229)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s229)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44226,plain,
% 15.20/10.92 (((~trans(s399, s229)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s229)) <=> (until2p7(s229) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s229)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44227,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s229)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s229) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s229))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44226])).
% 15.20/10.92 tff(44228,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s229)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s229)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44227, 44225])).
% 15.20/10.92 tff(44229,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s229)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s229))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44230,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s229))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44229, 44228])).
% 15.20/10.92 tff(44231,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44230, 37542, 44224, 38491, 44223, 40730])).
% 15.20/10.92 tff(44232,plain,((~trans(s399, s229)) | until2p7(s229) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44233,plain,
% 15.20/10.92 (~trans(s399, s229)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44232, 39431, 37532])).
% 15.20/10.92 tff(44234,assumption,(~until2p7(s3)), introduced(assumption)).
% 15.20/10.92 tff(44235,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s3)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44236,plain,
% 15.20/10.92 (((~trans(s399, s3)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s3)) <=> (until2p7(s3) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s3)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44237,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s3)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s3))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44236])).
% 15.20/10.92 tff(44238,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s3)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s3)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44237, 44235])).
% 15.20/10.92 tff(44239,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s3)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s3))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44240,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s3))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44239, 44238])).
% 15.20/10.92 tff(44241,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44240, 37542, 8, 38491, 44234, 40730])).
% 15.20/10.92 tff(44242,plain,((~trans(s399, s3)) | until2p7(s3) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44243,plain,
% 15.20/10.92 (~trans(s399, s3)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44242, 42174, 37532])).
% 15.20/10.92 tff(44244,assumption,(~until2p7(s337)), introduced(assumption)).
% 15.20/10.92 tff(44245,assumption,(trans(s399, s337)), introduced(assumption)).
% 15.20/10.92 tff(44246,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s337) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s337)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s337) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s337)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44247,plain,
% 15.20/10.92 (((~trans(s399, s337)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s337)) <=> (until2p7(s337) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s337)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44248,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s337)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s337) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s337))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44247])).
% 15.20/10.92 tff(44249,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s337)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s337) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s337)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44248, 44246])).
% 15.20/10.92 tff(44250,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s337)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s337))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44251,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s337) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s337))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44250, 44249])).
% 15.20/10.92 tff(44252,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44251, 37542, 44245, 38491, 44244, 40730])).
% 15.20/10.92 tff(44253,plain,((~trans(s399, s337)) | until2p7(s337) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44254,plain,
% 15.20/10.92 (~trans(s399, s337)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44253, 38191, 37532])).
% 15.20/10.92 tff(44255,assumption,(~until2p7(s281)), introduced(assumption)).
% 15.20/10.92 tff(44256,assumption,(trans(s399, s281)), introduced(assumption)).
% 15.20/10.92 tff(44257,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s281) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s281)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s281)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44258,plain,
% 15.20/10.92 (((~trans(s399, s281)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s281)) <=> (until2p7(s281) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s281)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44259,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s281)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s281) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s281))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44258])).
% 15.20/10.92 tff(44260,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s281)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s281)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44259, 44257])).
% 15.20/10.92 tff(44261,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s281)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s281))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44262,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s281))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44261, 44260])).
% 15.20/10.92 tff(44263,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44262, 37542, 44256, 38491, 44255, 40730])).
% 15.20/10.92 tff(44264,plain,((~trans(s399, s281)) | until2p7(s281) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44265,plain,
% 15.20/10.92 (~trans(s399, s281)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44264, 38807, 37532])).
% 15.20/10.92 tff(44266,assumption,(~until2p7(s11)), introduced(assumption)).
% 15.20/10.92 tff(44267,assumption,(trans(s399, s11)), introduced(assumption)).
% 15.20/10.92 tff(44268,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s11)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44269,plain,
% 15.20/10.92 (((~trans(s399, s11)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s11)) <=> (until2p7(s11) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s11)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44270,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s11)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s11))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44269])).
% 15.20/10.92 tff(44271,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s11)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s11)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44270, 44268])).
% 15.20/10.92 tff(44272,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s11)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s11))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44273,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s11))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44272, 44271])).
% 15.20/10.92 tff(44274,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44273, 37542, 44267, 38491, 44266, 40730])).
% 15.20/10.92 tff(44275,plain,((~trans(s399, s11)) | until2p7(s11) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44276,plain,
% 15.20/10.92 (~trans(s399, s11)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44275, 42077, 37532])).
% 15.20/10.92 tff(44277,assumption,(~until2p7(s24)), introduced(assumption)).
% 15.20/10.92 tff(44278,assumption,(trans(s399, s24)), introduced(assumption)).
% 15.20/10.92 tff(44279,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s24)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44280,plain,
% 15.20/10.92 (((~trans(s399, s24)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s24)) <=> (until2p7(s24) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s24)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44281,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s24)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s24))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44280])).
% 15.20/10.92 tff(44282,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s24)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s24)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44281, 44279])).
% 15.20/10.92 tff(44283,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s24)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s24))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44284,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s24))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44283, 44282])).
% 15.20/10.92 tff(44285,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44284, 37542, 44278, 38491, 44277, 40730])).
% 15.20/10.92 tff(44286,plain,((~trans(s399, s24)) | until2p7(s24) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44287,plain,
% 15.20/10.92 (~trans(s399, s24)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44286, 41923, 37532])).
% 15.20/10.92 tff(44288,assumption,(~until2p7(s156)), introduced(assumption)).
% 15.20/10.92 tff(44289,assumption,(trans(s399, s156)), introduced(assumption)).
% 15.20/10.92 tff(44290,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s156) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s156)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44291,plain,
% 15.20/10.92 (((~trans(s399, s156)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s156)) <=> (until2p7(s156) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s156)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44292,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s156)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s156) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s156))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44291])).
% 15.20/10.92 tff(44293,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s156)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s156)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44292, 44290])).
% 15.20/10.92 tff(44294,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s156)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s156))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44295,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s156))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44294, 44293])).
% 15.20/10.92 tff(44296,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44295, 37542, 44289, 38491, 44288, 40730])).
% 15.20/10.92 tff(44297,plain,((~trans(s399, s156)) | until2p7(s156) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44298,plain,
% 15.20/10.92 (~trans(s399, s156)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44297, 40295, 37532])).
% 15.20/10.92 tff(44299,assumption,(~until2p7(s291)), introduced(assumption)).
% 15.20/10.92 tff(44300,assumption,(trans(s399, s291)), introduced(assumption)).
% 15.20/10.92 tff(44301,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s291) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s291)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s291)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44302,plain,
% 15.20/10.92 (((~trans(s399, s291)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s291)) <=> (until2p7(s291) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s291)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44303,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s291)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s291) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s291))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44302])).
% 15.20/10.92 tff(44304,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s291)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s291)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44303, 44301])).
% 15.20/10.92 tff(44305,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s291)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s291))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44306,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s291))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44305, 44304])).
% 15.20/10.92 tff(44307,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44306, 37542, 44300, 38491, 44299, 40730])).
% 15.20/10.92 tff(44308,plain,((~trans(s399, s291)) | until2p7(s291) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44309,plain,
% 15.20/10.92 (~trans(s399, s291)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44308, 38688, 37532])).
% 15.20/10.92 tff(44310,assumption,(~until2p7(s216)), introduced(assumption)).
% 15.20/10.92 tff(44311,assumption,(trans(s399, s216)), introduced(assumption)).
% 15.20/10.92 tff(44312,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s216) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s216)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s216)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44313,plain,
% 15.20/10.92 (((~trans(s399, s216)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s216)) <=> (until2p7(s216) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s216)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44314,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s216)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s216) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s216))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44313])).
% 15.20/10.92 tff(44315,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s216)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s216)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44314, 44312])).
% 15.20/10.92 tff(44316,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s216)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s216))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44317,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s216))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44316, 44315])).
% 15.20/10.92 tff(44318,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44317, 37542, 44311, 38491, 44310, 40730])).
% 15.20/10.92 tff(44319,plain,((~trans(s399, s216)) | until2p7(s216) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44320,plain,
% 15.20/10.92 (~trans(s399, s216)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44319, 39586, 37532])).
% 15.20/10.92 tff(44321,assumption,(~until2p7(s257)), introduced(assumption)).
% 15.20/10.92 tff(44322,assumption,(trans(s399, s257)), introduced(assumption)).
% 15.20/10.92 tff(44323,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s257) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s257)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s257)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44324,plain,
% 15.20/10.92 (((~trans(s399, s257)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s257)) <=> (until2p7(s257) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s257)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44325,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s257)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s257) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s257))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44324])).
% 15.20/10.92 tff(44326,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s257)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s257)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44325, 44323])).
% 15.20/10.92 tff(44327,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s257)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s257))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44328,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s257))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44327, 44326])).
% 15.20/10.92 tff(44329,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44328, 37542, 44322, 38491, 44321, 40730])).
% 15.20/10.92 tff(44330,plain,((~trans(s399, s257)) | until2p7(s257) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44331,plain,
% 15.20/10.92 (~trans(s399, s257)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44330, 39095, 37532])).
% 15.20/10.92 tff(44332,assumption,(~until2p7(s299)), introduced(assumption)).
% 15.20/10.92 tff(44333,assumption,(trans(s399, s299)), introduced(assumption)).
% 15.20/10.92 tff(44334,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s299) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s299)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s299)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44335,plain,
% 15.20/10.92 (((~trans(s399, s299)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s299)) <=> (until2p7(s299) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s299)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44336,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s299)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s299) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s299))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44335])).
% 15.20/10.92 tff(44337,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s299)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s299)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44336, 44334])).
% 15.20/10.92 tff(44338,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s299)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s299))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44339,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s299))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44338, 44337])).
% 15.20/10.92 tff(44340,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44339, 37542, 44333, 38491, 44332, 40730])).
% 15.20/10.92 tff(44341,plain,((~trans(s399, s299)) | until2p7(s299) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44342,plain,
% 15.20/10.92 (~trans(s399, s299)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44341, 38592, 37532])).
% 15.20/10.92 tff(44343,assumption,(~until2p7(s378)), introduced(assumption)).
% 15.20/10.92 tff(44344,assumption,(trans(s399, s378)), introduced(assumption)).
% 15.20/10.92 tff(44345,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s378) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s378)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s378) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s378)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44346,plain,
% 15.20/10.92 (((~trans(s399, s378)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s378)) <=> (until2p7(s378) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s378)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44347,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s378)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s378) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s378))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44346])).
% 15.20/10.92 tff(44348,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s378)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s378) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s378)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44347, 44345])).
% 15.20/10.92 tff(44349,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s378)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s378))),
% 15.20/10.92 inference(quant_inst,[status(thm)],[])).
% 15.20/10.92 tff(44350,plain,
% 15.20/10.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s378) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s378))),
% 15.20/10.92 inference(modus_ponens,[status(thm)],[44349, 44348])).
% 15.20/10.92 tff(44351,plain,
% 15.20/10.92 ($false),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44350, 37542, 44344, 38491, 44343, 40730])).
% 15.20/10.92 tff(44352,plain,((~trans(s399, s378)) | until2p7(s378) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.92 tff(44353,plain,
% 15.20/10.92 (~trans(s399, s378)),
% 15.20/10.92 inference(unit_resolution,[status(thm)],[44352, 37781, 37532])).
% 15.20/10.92 tff(44354,assumption,(~until2p7(s168)), introduced(assumption)).
% 15.20/10.92 tff(44355,assumption,(trans(s399, s168)), introduced(assumption)).
% 15.20/10.92 tff(44356,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s168) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s168)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44357,plain,
% 15.20/10.92 (((~trans(s399, s168)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s168)) <=> (until2p7(s168) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s168)))),
% 15.20/10.92 inference(rewrite,[status(thm)],[])).
% 15.20/10.92 tff(44358,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s168)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s168) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s168))))),
% 15.20/10.92 inference(monotonicity,[status(thm)],[44357])).
% 15.20/10.92 tff(44359,plain,
% 15.20/10.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s168)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s168)))),
% 15.20/10.92 inference(transitivity,[status(thm)],[44358, 44356])).
% 15.20/10.92 tff(44360,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s168)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s168))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44361,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s168))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44360, 44359])).
% 15.20/10.93 tff(44362,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44361, 37542, 44355, 38491, 44354, 40730])).
% 15.20/10.93 tff(44363,plain,((~trans(s399, s168)) | until2p7(s168) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44364,plain,
% 15.20/10.93 (~trans(s399, s168)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44363, 40153, 37532])).
% 15.20/10.93 tff(44365,assumption,(~until2p7(s185)), introduced(assumption)).
% 15.20/10.93 tff(44366,assumption,(trans(s399, s185)), introduced(assumption)).
% 15.20/10.93 tff(44367,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s185) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s185)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44368,plain,
% 15.20/10.93 (((~trans(s399, s185)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s185)) <=> (until2p7(s185) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s185)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44369,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s185)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s185) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s185))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44368])).
% 15.20/10.93 tff(44370,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s185)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s185)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44369, 44367])).
% 15.20/10.93 tff(44371,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s185)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s185))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44372,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s185))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44371, 44370])).
% 15.20/10.93 tff(44373,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44372, 37542, 44366, 38491, 44365, 40730])).
% 15.20/10.93 tff(44374,plain,((~trans(s399, s185)) | until2p7(s185) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44375,plain,
% 15.20/10.93 (~trans(s399, s185)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44374, 39953, 37532])).
% 15.20/10.93 tff(44376,assumption,(~until2p7(s54)), introduced(assumption)).
% 15.20/10.93 tff(44377,assumption,(trans(s399, s54)), introduced(assumption)).
% 15.20/10.93 tff(44378,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s54)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44379,plain,
% 15.20/10.93 (((~trans(s399, s54)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s54)) <=> (until2p7(s54) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s54)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44380,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s54)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s54))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44379])).
% 15.20/10.93 tff(44381,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s54)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s54)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44380, 44378])).
% 15.20/10.93 tff(44382,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s54)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s54))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44383,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s54))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44382, 44381])).
% 15.20/10.93 tff(44384,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44383, 37542, 44377, 38491, 44376, 40730])).
% 15.20/10.93 tff(44385,plain,((~trans(s399, s54)) | until2p7(s54) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44386,plain,
% 15.20/10.93 (~trans(s399, s54)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44385, 41568, 37532])).
% 15.20/10.93 tff(44387,assumption,(~until2p7(s85)), introduced(assumption)).
% 15.20/10.93 tff(44388,assumption,(trans(s399, s85)), introduced(assumption)).
% 15.20/10.93 tff(44389,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s85)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44390,plain,
% 15.20/10.93 (((~trans(s399, s85)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s85)) <=> (until2p7(s85) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s85)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44391,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s85)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s85))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44390])).
% 15.20/10.93 tff(44392,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s85)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s85)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44391, 44389])).
% 15.20/10.93 tff(44393,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s85)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s85))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44394,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s85))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44393, 44392])).
% 15.20/10.93 tff(44395,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44394, 37542, 44388, 38491, 44387, 40730])).
% 15.20/10.93 tff(44396,plain,((~trans(s399, s85)) | until2p7(s85) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44397,plain,
% 15.20/10.93 (~trans(s399, s85)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44396, 41197, 37532])).
% 15.20/10.93 tff(44398,assumption,(~until2p7(s348)), introduced(assumption)).
% 15.20/10.93 tff(44399,assumption,(trans(s399, s348)), introduced(assumption)).
% 15.20/10.93 tff(44400,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s348) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s348)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s348) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s348)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44401,plain,
% 15.20/10.93 (((~trans(s399, s348)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s348)) <=> (until2p7(s348) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s348)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44402,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s348)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s348) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s348))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44401])).
% 15.20/10.93 tff(44403,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s348)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s348) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s348)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44402, 44400])).
% 15.20/10.93 tff(44404,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s348)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s348))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44405,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s348) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s348))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44404, 44403])).
% 15.20/10.93 tff(44406,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44405, 37542, 44399, 38491, 44398, 40730])).
% 15.20/10.93 tff(44407,plain,((~trans(s399, s348)) | until2p7(s348) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44408,plain,
% 15.20/10.93 (~trans(s399, s348)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44407, 38081, 37532])).
% 15.20/10.93 tff(44409,assumption,(~until2p7(s271)), introduced(assumption)).
% 15.20/10.93 tff(44410,assumption,(trans(s399, s271)), introduced(assumption)).
% 15.20/10.93 tff(44411,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s271) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s271)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s271)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44412,plain,
% 15.20/10.93 (((~trans(s399, s271)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s271)) <=> (until2p7(s271) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s271)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44413,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s271)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s271) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s271))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44412])).
% 15.20/10.93 tff(44414,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s271)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s271)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44413, 44411])).
% 15.20/10.93 tff(44415,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s271)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s271))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44416,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s271))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44415, 44414])).
% 15.20/10.93 tff(44417,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44416, 37542, 44410, 38491, 44409, 40730])).
% 15.20/10.93 tff(44418,plain,((~trans(s399, s271)) | until2p7(s271) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44419,plain,
% 15.20/10.93 (~trans(s399, s271)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44418, 38927, 37532])).
% 15.20/10.93 tff(44420,assumption,(~until2p7(s14)), introduced(assumption)).
% 15.20/10.93 tff(44421,assumption,(trans(s399, s14)), introduced(assumption)).
% 15.20/10.93 tff(44422,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s14)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44423,plain,
% 15.20/10.93 (((~trans(s399, s14)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s14)) <=> (until2p7(s14) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s14)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44424,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s14)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s14))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44423])).
% 15.20/10.93 tff(44425,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s14)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s14)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44424, 44422])).
% 15.20/10.93 tff(44426,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s14)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s14))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44427,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s14))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44426, 44425])).
% 15.20/10.93 tff(44428,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44427, 37542, 44421, 38491, 44420, 40730])).
% 15.20/10.93 tff(44429,plain,((~trans(s399, s14)) | until2p7(s14) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44430,plain,
% 15.20/10.93 (~trans(s399, s14)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44429, 42043, 37532])).
% 15.20/10.93 tff(44431,assumption,(~until2p7(s154)), introduced(assumption)).
% 15.20/10.93 tff(44432,assumption,(trans(s399, s154)), introduced(assumption)).
% 15.20/10.93 tff(44433,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s154) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s154)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44434,plain,
% 15.20/10.93 (((~trans(s399, s154)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s154)) <=> (until2p7(s154) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s154)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44435,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s154)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s154) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s154))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44434])).
% 15.20/10.93 tff(44436,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s154)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s154)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44435, 44433])).
% 15.20/10.93 tff(44437,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s154)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s154))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44438,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s154))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44437, 44436])).
% 15.20/10.93 tff(44439,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44438, 37542, 44432, 38491, 44431, 40730])).
% 15.20/10.93 tff(44440,plain,((~trans(s399, s154)) | until2p7(s154) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44441,plain,
% 15.20/10.93 (~trans(s399, s154)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44440, 40319, 37532])).
% 15.20/10.93 tff(44442,assumption,(~until2p7(s293)), introduced(assumption)).
% 15.20/10.93 tff(44443,assumption,(trans(s399, s293)), introduced(assumption)).
% 15.20/10.93 tff(44444,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s293) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s293)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s293)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44445,plain,
% 15.20/10.93 (((~trans(s399, s293)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s293)) <=> (until2p7(s293) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s293)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44446,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s293)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s293) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s293))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44445])).
% 15.20/10.93 tff(44447,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s293)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s293)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44446, 44444])).
% 15.20/10.93 tff(44448,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s293)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s293))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44449,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s293))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44448, 44447])).
% 15.20/10.93 tff(44450,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44449, 37542, 44443, 38491, 44442, 40730])).
% 15.20/10.93 tff(44451,plain,((~trans(s399, s293)) | until2p7(s293) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44452,plain,
% 15.20/10.93 (~trans(s399, s293)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44451, 38664, 37532])).
% 15.20/10.93 tff(44453,assumption,(~until2p7(s202)), introduced(assumption)).
% 15.20/10.93 tff(44454,assumption,(trans(s399, s202)), introduced(assumption)).
% 15.20/10.93 tff(44455,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s202) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s202)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s202)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44456,plain,
% 15.20/10.93 (((~trans(s399, s202)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s202)) <=> (until2p7(s202) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s202)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44457,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s202)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s202) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s202))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44456])).
% 15.20/10.93 tff(44458,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s202)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s202)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44457, 44455])).
% 15.20/10.93 tff(44459,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s202)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s202))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44460,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s202))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44459, 44458])).
% 15.20/10.93 tff(44461,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44460, 37542, 44454, 38491, 44453, 40730])).
% 15.20/10.93 tff(44462,plain,((~trans(s399, s202)) | until2p7(s202) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44463,plain,
% 15.20/10.93 (~trans(s399, s202)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44462, 39752, 37532])).
% 15.20/10.93 tff(44464,assumption,(~until2p7(s254)), introduced(assumption)).
% 15.20/10.93 tff(44465,assumption,(trans(s399, s254)), introduced(assumption)).
% 15.20/10.93 tff(44466,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s254) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s254)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s254)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44467,plain,
% 15.20/10.93 (((~trans(s399, s254)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s254)) <=> (until2p7(s254) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s254)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44468,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s254)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s254) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s254))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44467])).
% 15.20/10.93 tff(44469,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s254)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s254)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44468, 44466])).
% 15.20/10.93 tff(44470,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s254)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s254))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44471,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s254))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44470, 44469])).
% 15.20/10.93 tff(44472,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44471, 37542, 44465, 38491, 44464, 40730])).
% 15.20/10.93 tff(44473,plain,((~trans(s399, s254)) | until2p7(s254) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44474,plain,
% 15.20/10.93 (~trans(s399, s254)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44473, 39131, 37532])).
% 15.20/10.93 tff(44475,assumption,(~until2p7(s13)), introduced(assumption)).
% 15.20/10.93 tff(44476,assumption,(trans(s399, s13)), introduced(assumption)).
% 15.20/10.93 tff(44477,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s13)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44478,plain,
% 15.20/10.93 (((~trans(s399, s13)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s13)) <=> (until2p7(s13) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s13)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44479,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s13)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s13))))),
% 15.20/10.93 inference(monotonicity,[status(thm)],[44478])).
% 15.20/10.93 tff(44480,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s13)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s13)))),
% 15.20/10.93 inference(transitivity,[status(thm)],[44479, 44477])).
% 15.20/10.93 tff(44481,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s13)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s13))),
% 15.20/10.93 inference(quant_inst,[status(thm)],[])).
% 15.20/10.93 tff(44482,plain,
% 15.20/10.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s13))),
% 15.20/10.93 inference(modus_ponens,[status(thm)],[44481, 44480])).
% 15.20/10.93 tff(44483,plain,
% 15.20/10.93 ($false),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44482, 37542, 44476, 38491, 44475, 40730])).
% 15.20/10.93 tff(44484,plain,((~trans(s399, s13)) | until2p7(s13) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.93 tff(44485,plain,
% 15.20/10.93 (~trans(s399, s13)),
% 15.20/10.93 inference(unit_resolution,[status(thm)],[44484, 42055, 37532])).
% 15.20/10.93 tff(44486,assumption,(~until2p7(s300)), introduced(assumption)).
% 15.20/10.93 tff(44487,assumption,(trans(s399, s300)), introduced(assumption)).
% 15.20/10.93 tff(44488,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s300) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s300)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s300) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s300)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44489,plain,
% 15.20/10.93 (((~trans(s399, s300)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s300)) <=> (until2p7(s300) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s300)))),
% 15.20/10.93 inference(rewrite,[status(thm)],[])).
% 15.20/10.93 tff(44490,plain,
% 15.20/10.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s300)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s300) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s300))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44489])).
% 15.20/10.94 tff(44491,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s300)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s300) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s300)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44490, 44488])).
% 15.20/10.94 tff(44492,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s300)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s300))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44493,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s300) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s300))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44492, 44491])).
% 15.20/10.94 tff(44494,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44493, 37542, 44487, 38491, 44486, 40730])).
% 15.20/10.94 tff(44495,plain,((~trans(s399, s300)) | until2p7(s300) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44496,plain,
% 15.20/10.94 (~trans(s399, s300)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44495, 38580, 37532])).
% 15.20/10.94 tff(44497,assumption,(~until2p7(s180)), introduced(assumption)).
% 15.20/10.94 tff(44498,assumption,(trans(s399, s180)), introduced(assumption)).
% 15.20/10.94 tff(44499,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s180) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s180)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44500,plain,
% 15.20/10.94 (((~trans(s399, s180)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s180)) <=> (until2p7(s180) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s180)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44501,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s180)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s180) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s180))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44500])).
% 15.20/10.94 tff(44502,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s180)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s180)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44501, 44499])).
% 15.20/10.94 tff(44503,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s180)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s180))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44504,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s180))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44503, 44502])).
% 15.20/10.94 tff(44505,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44504, 37542, 44498, 38491, 44497, 40730])).
% 15.20/10.94 tff(44506,plain,((~trans(s399, s180)) | until2p7(s180) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44507,plain,
% 15.20/10.94 (~trans(s399, s180)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44506, 40012, 37532])).
% 15.20/10.94 tff(44508,assumption,(~until2p7(s305)), introduced(assumption)).
% 15.20/10.94 tff(44509,assumption,(trans(s399, s305)), introduced(assumption)).
% 15.20/10.94 tff(44510,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s305) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s305)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s305) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s305)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44511,plain,
% 15.20/10.94 (((~trans(s399, s305)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s305)) <=> (until2p7(s305) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s305)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44512,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s305)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s305) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s305))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44511])).
% 15.20/10.94 tff(44513,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s305)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s305) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s305)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44512, 44510])).
% 15.20/10.94 tff(44514,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s305)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s305))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44515,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s305) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s305))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44514, 44513])).
% 15.20/10.94 tff(44516,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44515, 37542, 44509, 38491, 44508, 40730])).
% 15.20/10.94 tff(44517,plain,((~trans(s399, s305)) | until2p7(s305) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44518,plain,
% 15.20/10.94 (~trans(s399, s305)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44517, 38521, 37532])).
% 15.20/10.94 tff(44519,assumption,(~until2p7(s110)), introduced(assumption)).
% 15.20/10.94 tff(44520,assumption,(trans(s399, s110)), introduced(assumption)).
% 15.20/10.94 tff(44521,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s110) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s110)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44522,plain,
% 15.20/10.94 (((~trans(s399, s110)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s110)) <=> (until2p7(s110) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s110)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44523,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s110)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s110) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s110))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44522])).
% 15.20/10.94 tff(44524,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s110)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s110)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44523, 44521])).
% 15.20/10.94 tff(44525,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s110)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s110))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44526,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s110))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44525, 44524])).
% 15.20/10.94 tff(44527,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44526, 37542, 44520, 38491, 44519, 40730])).
% 15.20/10.94 tff(44528,plain,((~trans(s399, s110)) | until2p7(s110) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44529,plain,
% 15.20/10.94 (~trans(s399, s110)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44528, 40891, 37532])).
% 15.20/10.94 tff(44530,assumption,(~until2p7(s170)), introduced(assumption)).
% 15.20/10.94 tff(44531,assumption,(trans(s399, s170)), introduced(assumption)).
% 15.20/10.94 tff(44532,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s170) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s170)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44533,plain,
% 15.20/10.94 (((~trans(s399, s170)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s170)) <=> (until2p7(s170) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s170)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44534,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s170)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s170) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s170))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44533])).
% 15.20/10.94 tff(44535,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s170)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s170)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44534, 44532])).
% 15.20/10.94 tff(44536,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s170)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s170))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44537,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s170))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44536, 44535])).
% 15.20/10.94 tff(44538,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44537, 37542, 44531, 38491, 44530, 40730])).
% 15.20/10.94 tff(44539,plain,((~trans(s399, s170)) | until2p7(s170) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44540,plain,
% 15.20/10.94 (~trans(s399, s170)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44539, 40131, 37532])).
% 15.20/10.94 tff(44541,assumption,(~until2p7(s33)), introduced(assumption)).
% 15.20/10.94 tff(44542,assumption,(trans(s399, s33)), introduced(assumption)).
% 15.20/10.94 tff(44543,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s33)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44544,plain,
% 15.20/10.94 (((~trans(s399, s33)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s33)) <=> (until2p7(s33) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s33)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44545,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s33)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s33))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44544])).
% 15.20/10.94 tff(44546,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s33)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s33)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44545, 44543])).
% 15.20/10.94 tff(44547,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s33)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s33))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44548,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s33))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44547, 44546])).
% 15.20/10.94 tff(44549,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44548, 37542, 44542, 38491, 44541, 40730])).
% 15.20/10.94 tff(44550,plain,((~trans(s399, s33)) | until2p7(s33) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44551,plain,
% 15.20/10.94 (~trans(s399, s33)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44550, 41816, 37532])).
% 15.20/10.94 tff(44552,assumption,(~until2p7(s63)), introduced(assumption)).
% 15.20/10.94 tff(44553,assumption,(trans(s399, s63)), introduced(assumption)).
% 15.20/10.94 tff(44554,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s63)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44555,plain,
% 15.20/10.94 (((~trans(s399, s63)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s63)) <=> (until2p7(s63) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s63)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44556,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s63)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s63))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44555])).
% 15.20/10.94 tff(44557,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s63)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s63)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44556, 44554])).
% 15.20/10.94 tff(44558,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s63)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s63))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44559,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s63))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44558, 44557])).
% 15.20/10.94 tff(44560,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44559, 37542, 44553, 38491, 44552, 40730])).
% 15.20/10.94 tff(44561,plain,((~trans(s399, s63)) | until2p7(s63) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44562,plain,
% 15.20/10.94 (~trans(s399, s63)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44561, 41460, 37532])).
% 15.20/10.94 tff(44563,assumption,(~until2p7(s175)), introduced(assumption)).
% 15.20/10.94 tff(44564,assumption,(trans(s399, s175)), introduced(assumption)).
% 15.20/10.94 tff(44565,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s175) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s175)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44566,plain,
% 15.20/10.94 (((~trans(s399, s175)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s175)) <=> (until2p7(s175) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s175)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44567,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s175)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s175) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s175))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44566])).
% 15.20/10.94 tff(44568,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s175)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s175)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44567, 44565])).
% 15.20/10.94 tff(44569,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s175)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s175))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44570,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s175))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44569, 44568])).
% 15.20/10.94 tff(44571,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44570, 37542, 44564, 38491, 44563, 40730])).
% 15.20/10.94 tff(44572,plain,((~trans(s399, s175)) | until2p7(s175) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44573,plain,
% 15.20/10.94 (~trans(s399, s175)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44572, 40072, 37532])).
% 15.20/10.94 tff(44574,assumption,(~until2p7(s141)), introduced(assumption)).
% 15.20/10.94 tff(44575,assumption,(trans(s399, s141)), introduced(assumption)).
% 15.20/10.94 tff(44576,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s141) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s141)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44577,plain,
% 15.20/10.94 (((~trans(s399, s141)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s141)) <=> (until2p7(s141) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s141)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44578,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s141)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s141) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s141))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44577])).
% 15.20/10.94 tff(44579,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s141)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s141)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44578, 44576])).
% 15.20/10.94 tff(44580,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s141)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s141))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44581,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s141))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44580, 44579])).
% 15.20/10.94 tff(44582,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44581, 37542, 44575, 38491, 44574, 40730])).
% 15.20/10.94 tff(44583,plain,((~trans(s399, s141)) | until2p7(s141) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44584,plain,
% 15.20/10.94 (~trans(s399, s141)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44583, 40469, 37532])).
% 15.20/10.94 tff(44585,plain,
% 15.20/10.94 (((~![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)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44586,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44587,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44586, 44585])).
% 15.20/10.94 tff(44588,plain,
% 15.20/10.94 (until2p7(s1) | (~xuntil2p8(s0))),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44587, 332, 37571])).
% 15.20/10.94 tff(44589,plain,
% 15.20/10.94 (~xuntil2p8(s0)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44588, 43012])).
% 15.20/10.94 tff(44590,plain,
% 15.20/10.94 (~always3(s0)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[340, 43006])).
% 15.20/10.94 tff(44591,plain,
% 15.20/10.94 (~node4(s0)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[344, 36, 44590])).
% 15.20/10.94 tff(44592,plain,
% 15.20/10.94 (((~![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)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44593,plain,
% 15.20/10.94 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44594,plain,
% 15.20/10.94 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44593, 44592])).
% 15.20/10.94 tff(44595,plain,
% 15.20/10.94 (xuntil2p8(s0) | (~until2p7(s0))),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44594, 37556, 44591])).
% 15.20/10.94 tff(44596,plain,
% 15.20/10.94 (~until2p7(s0)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44595, 44589])).
% 15.20/10.94 tff(44597,assumption,(~until2p7(s0)), introduced(assumption)).
% 15.20/10.94 tff(44598,assumption,(trans(s399, s0)), introduced(assumption)).
% 15.20/10.94 tff(44599,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s399)) | (~xuntil6(s399)) | until2p7(s0) | (~trans(s399, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s0) | (~trans(s399, s0)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44600,plain,
% 15.20/10.94 (((~trans(s399, s0)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s0)) <=> ((~last(s399)) | (~xuntil6(s399)) | until2p7(s0) | (~trans(s399, s0)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44601,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s0)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s399)) | (~xuntil6(s399)) | until2p7(s0) | (~trans(s399, s0))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44600])).
% 15.20/10.94 tff(44602,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s0)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s0) | (~trans(s399, s0)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44601, 44599])).
% 15.20/10.94 tff(44603,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s0)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s0))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44604,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s0) | (~trans(s399, s0))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44603, 44602])).
% 15.20/10.94 tff(44605,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44604, 37542, 44598, 38491, 40730, 44597])).
% 15.20/10.94 tff(44606,plain,((~trans(s399, s0)) | (~xuntil6(s399)) | until2p7(s0)), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44607,plain,
% 15.20/10.94 (~trans(s399, s0)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44606, 37532, 44596])).
% 15.20/10.94 tff(44608,assumption,(~until2p7(s330)), introduced(assumption)).
% 15.20/10.94 tff(44609,assumption,(trans(s399, s330)), introduced(assumption)).
% 15.20/10.94 tff(44610,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s330) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s330)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s330) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s330)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44611,plain,
% 15.20/10.94 (((~trans(s399, s330)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s330)) <=> (until2p7(s330) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s330)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44612,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s330)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s330) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s330))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44611])).
% 15.20/10.94 tff(44613,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s330)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s330) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s330)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44612, 44610])).
% 15.20/10.94 tff(44614,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s330)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s330))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44615,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s330) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s330))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44614, 44613])).
% 15.20/10.94 tff(44616,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44615, 37542, 44609, 38491, 44608, 40730])).
% 15.20/10.94 tff(44617,plain,((~trans(s399, s330)) | until2p7(s330) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44618,plain,
% 15.20/10.94 (~trans(s399, s330)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44617, 38261, 37532])).
% 15.20/10.94 tff(44619,assumption,(~until2p7(s252)), introduced(assumption)).
% 15.20/10.94 tff(44620,assumption,(trans(s399, s252)), introduced(assumption)).
% 15.20/10.94 tff(44621,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s252) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s252)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s252)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44622,plain,
% 15.20/10.94 (((~trans(s399, s252)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s252)) <=> (until2p7(s252) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s252)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.94 tff(44623,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s252)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s252) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s252))))),
% 15.20/10.94 inference(monotonicity,[status(thm)],[44622])).
% 15.20/10.94 tff(44624,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s252)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s252)))),
% 15.20/10.94 inference(transitivity,[status(thm)],[44623, 44621])).
% 15.20/10.94 tff(44625,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s252)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s252))),
% 15.20/10.94 inference(quant_inst,[status(thm)],[])).
% 15.20/10.94 tff(44626,plain,
% 15.20/10.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s252))),
% 15.20/10.94 inference(modus_ponens,[status(thm)],[44625, 44624])).
% 15.20/10.94 tff(44627,plain,
% 15.20/10.94 ($false),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44626, 37542, 44620, 38491, 44619, 40730])).
% 15.20/10.94 tff(44628,plain,((~trans(s399, s252)) | until2p7(s252) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.94 tff(44629,plain,
% 15.20/10.94 (~trans(s399, s252)),
% 15.20/10.94 inference(unit_resolution,[status(thm)],[44628, 39155, 37532])).
% 15.20/10.94 tff(44630,assumption,(~until2p7(s20)), introduced(assumption)).
% 15.20/10.94 tff(44631,assumption,(trans(s399, s20)), introduced(assumption)).
% 15.20/10.94 tff(44632,plain,
% 15.20/10.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s20)))),
% 15.20/10.94 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44633,plain,
% 15.20/10.95 (((~trans(s399, s20)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s20)) <=> (until2p7(s20) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s20)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44634,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s20)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s20))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44633])).
% 15.20/10.95 tff(44635,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s20)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s20)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44634, 44632])).
% 15.20/10.95 tff(44636,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s20)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s20))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44637,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s20))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44636, 44635])).
% 15.20/10.95 tff(44638,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44637, 37542, 44631, 38491, 44630, 40730])).
% 15.20/10.95 tff(44639,plain,((~trans(s399, s20)) | until2p7(s20) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44640,plain,
% 15.20/10.95 (~trans(s399, s20)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44639, 41971, 37532])).
% 15.20/10.95 tff(44641,assumption,(~until2p7(s123)), introduced(assumption)).
% 15.20/10.95 tff(44642,assumption,(trans(s399, s123)), introduced(assumption)).
% 15.20/10.95 tff(44643,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s123) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s123)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44644,plain,
% 15.20/10.95 (((~trans(s399, s123)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s123)) <=> (until2p7(s123) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s123)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44645,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s123)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s123) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s123))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44644])).
% 15.20/10.95 tff(44646,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s123)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s123)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44645, 44643])).
% 15.20/10.95 tff(44647,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s123)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s123))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44648,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s123))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44647, 44646])).
% 15.20/10.95 tff(44649,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44648, 37542, 44642, 38491, 44641, 40730])).
% 15.20/10.95 tff(44650,plain,((~trans(s399, s123)) | until2p7(s123) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44651,plain,
% 15.20/10.95 (~trans(s399, s123)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44650, 40682, 37532])).
% 15.20/10.95 tff(44652,assumption,(~until2p7(s245)), introduced(assumption)).
% 15.20/10.95 tff(44653,assumption,(trans(s399, s245)), introduced(assumption)).
% 15.20/10.95 tff(44654,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s245) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s245)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s245)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44655,plain,
% 15.20/10.95 (((~trans(s399, s245)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s245)) <=> (until2p7(s245) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s245)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44656,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s245)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s245) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s245))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44655])).
% 15.20/10.95 tff(44657,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s245)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s245)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44656, 44654])).
% 15.20/10.95 tff(44658,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s245)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s245))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44659,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s245))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44658, 44657])).
% 15.20/10.95 tff(44660,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44659, 37542, 44653, 38491, 44652, 40730])).
% 15.20/10.95 tff(44661,plain,((~trans(s399, s245)) | until2p7(s245) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44662,plain,
% 15.20/10.95 (~trans(s399, s245)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44661, 39239, 37532])).
% 15.20/10.95 tff(44663,assumption,(~until2p7(s139)), introduced(assumption)).
% 15.20/10.95 tff(44664,assumption,(trans(s399, s139)), introduced(assumption)).
% 15.20/10.95 tff(44665,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s139) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s139)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44666,plain,
% 15.20/10.95 (((~trans(s399, s139)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s139)) <=> (until2p7(s139) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s139)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44667,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s139)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s139) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s139))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44666])).
% 15.20/10.95 tff(44668,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s139)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s139)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44667, 44665])).
% 15.20/10.95 tff(44669,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s139)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s139))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44670,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s139))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44669, 44668])).
% 15.20/10.95 tff(44671,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44670, 37542, 44664, 38491, 44663, 40730])).
% 15.20/10.95 tff(44672,plain,((~trans(s399, s139)) | until2p7(s139) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44673,plain,
% 15.20/10.95 (~trans(s399, s139)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44672, 40493, 37532])).
% 15.20/10.95 tff(44674,assumption,(~until2p7(s391)), introduced(assumption)).
% 15.20/10.95 tff(44675,assumption,(trans(s399, s391)), introduced(assumption)).
% 15.20/10.95 tff(44676,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s391) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s391)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s391) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s391)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44677,plain,
% 15.20/10.95 (((~trans(s399, s391)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s391)) <=> (until2p7(s391) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s391)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44678,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s391)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s391) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s391))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44677])).
% 15.20/10.95 tff(44679,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s391)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s391) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s391)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44678, 44676])).
% 15.20/10.95 tff(44680,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s391)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s391))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44681,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s391) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s391))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44680, 44679])).
% 15.20/10.95 tff(44682,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44681, 37542, 44675, 38491, 44674, 40730])).
% 15.20/10.95 tff(44683,plain,((~trans(s399, s391)) | until2p7(s391) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44684,plain,
% 15.20/10.95 (~trans(s399, s391)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44683, 37651, 37532])).
% 15.20/10.95 tff(44685,assumption,(~until2p7(s373)), introduced(assumption)).
% 15.20/10.95 tff(44686,assumption,(trans(s399, s373)), introduced(assumption)).
% 15.20/10.95 tff(44687,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s373) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s373)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s373) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s373)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44688,plain,
% 15.20/10.95 (((~trans(s399, s373)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s373)) <=> (until2p7(s373) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s373)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44689,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s373)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s373) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s373))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44688])).
% 15.20/10.95 tff(44690,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s373)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s373) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s373)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44689, 44687])).
% 15.20/10.95 tff(44691,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s373)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s373))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44692,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s373) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s373))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44691, 44690])).
% 15.20/10.95 tff(44693,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44692, 37542, 44686, 38491, 44685, 40730])).
% 15.20/10.95 tff(44694,plain,((~trans(s399, s373)) | until2p7(s373) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44695,plain,
% 15.20/10.95 (~trans(s399, s373)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44694, 37831, 37532])).
% 15.20/10.95 tff(44696,assumption,(~until2p7(s310)), introduced(assumption)).
% 15.20/10.95 tff(44697,assumption,(trans(s399, s310)), introduced(assumption)).
% 15.20/10.95 tff(44698,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s310) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s310)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s310) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s310)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44699,plain,
% 15.20/10.95 (((~trans(s399, s310)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s310)) <=> (until2p7(s310) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s310)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44700,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s310)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s310) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s310))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44699])).
% 15.20/10.95 tff(44701,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s310)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s310) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s310)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44700, 44698])).
% 15.20/10.95 tff(44702,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s310)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s310))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44703,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s310) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s310))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44702, 44701])).
% 15.20/10.95 tff(44704,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44703, 37542, 44697, 38491, 44696, 40730])).
% 15.20/10.95 tff(44705,plain,((~trans(s399, s310)) | until2p7(s310) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44706,plain,
% 15.20/10.95 (~trans(s399, s310)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44705, 38461, 37532])).
% 15.20/10.95 tff(44707,assumption,(~until2p7(s221)), introduced(assumption)).
% 15.20/10.95 tff(44708,assumption,(trans(s399, s221)), introduced(assumption)).
% 15.20/10.95 tff(44709,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s221) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s221)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s221)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44710,plain,
% 15.20/10.95 (((~trans(s399, s221)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s221)) <=> (until2p7(s221) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s221)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44711,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s221)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s221) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s221))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44710])).
% 15.20/10.95 tff(44712,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s221)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s221)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44711, 44709])).
% 15.20/10.95 tff(44713,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s221)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s221))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44714,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s221))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44713, 44712])).
% 15.20/10.95 tff(44715,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44714, 37542, 44708, 38491, 44707, 40730])).
% 15.20/10.95 tff(44716,plain,((~trans(s399, s221)) | until2p7(s221) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44717,plain,
% 15.20/10.95 (~trans(s399, s221)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44716, 39527, 37532])).
% 15.20/10.95 tff(44718,assumption,(~until2p7(s329)), introduced(assumption)).
% 15.20/10.95 tff(44719,assumption,(trans(s399, s329)), introduced(assumption)).
% 15.20/10.95 tff(44720,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s329) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s329)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s329) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s329)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44721,plain,
% 15.20/10.95 (((~trans(s399, s329)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s329)) <=> (until2p7(s329) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s329)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44722,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s329)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s329) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s329))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44721])).
% 15.20/10.95 tff(44723,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s329)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s329) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s329)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44722, 44720])).
% 15.20/10.95 tff(44724,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s329)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s329))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44725,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s329) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s329))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44724, 44723])).
% 15.20/10.95 tff(44726,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44725, 37542, 44719, 38491, 44718, 40730])).
% 15.20/10.95 tff(44727,plain,((~trans(s399, s329)) | until2p7(s329) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44728,plain,
% 15.20/10.95 (~trans(s399, s329)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44727, 38271, 37532])).
% 15.20/10.95 tff(44729,assumption,(~until2p7(s91)), introduced(assumption)).
% 15.20/10.95 tff(44730,assumption,(trans(s399, s91)), introduced(assumption)).
% 15.20/10.95 tff(44731,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s91)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44732,plain,
% 15.20/10.95 (((~trans(s399, s91)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s91)) <=> (until2p7(s91) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s91)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44733,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s91)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s91))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44732])).
% 15.20/10.95 tff(44734,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s91)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s91)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44733, 44731])).
% 15.20/10.95 tff(44735,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s91)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s91))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44736,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s91))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44735, 44734])).
% 15.20/10.95 tff(44737,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44736, 37542, 44730, 38491, 44729, 40730])).
% 15.20/10.95 tff(44738,plain,((~trans(s399, s91)) | until2p7(s91) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44739,plain,
% 15.20/10.95 (~trans(s399, s91)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44738, 41125, 37532])).
% 15.20/10.95 tff(44740,assumption,(~until2p7(s8)), introduced(assumption)).
% 15.20/10.95 tff(44741,assumption,(trans(s399, s8)), introduced(assumption)).
% 15.20/10.95 tff(44742,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s8)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44743,plain,
% 15.20/10.95 (((~trans(s399, s8)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s8)) <=> (until2p7(s8) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s8)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44744,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s8)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s8))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44743])).
% 15.20/10.95 tff(44745,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s8)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s8)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44744, 44742])).
% 15.20/10.95 tff(44746,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s8)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s8))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44747,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s8))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44746, 44745])).
% 15.20/10.95 tff(44748,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44747, 37542, 44741, 38491, 44740, 40730])).
% 15.20/10.95 tff(44749,plain,((~trans(s399, s8)) | until2p7(s8) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44750,plain,
% 15.20/10.95 (~trans(s399, s8)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44749, 42114, 37532])).
% 15.20/10.95 tff(44751,assumption,(~until2p7(s343)), introduced(assumption)).
% 15.20/10.95 tff(44752,assumption,(trans(s399, s343)), introduced(assumption)).
% 15.20/10.95 tff(44753,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s343) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s343)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s343) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s343)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44754,plain,
% 15.20/10.95 (((~trans(s399, s343)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s343)) <=> (until2p7(s343) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s343)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44755,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s343)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s343) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s343))))),
% 15.20/10.95 inference(monotonicity,[status(thm)],[44754])).
% 15.20/10.95 tff(44756,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s343)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s343) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s343)))),
% 15.20/10.95 inference(transitivity,[status(thm)],[44755, 44753])).
% 15.20/10.95 tff(44757,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s343)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s343))),
% 15.20/10.95 inference(quant_inst,[status(thm)],[])).
% 15.20/10.95 tff(44758,plain,
% 15.20/10.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s343) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s343))),
% 15.20/10.95 inference(modus_ponens,[status(thm)],[44757, 44756])).
% 15.20/10.95 tff(44759,plain,
% 15.20/10.95 ($false),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44758, 37542, 44752, 38491, 44751, 40730])).
% 15.20/10.95 tff(44760,plain,((~trans(s399, s343)) | until2p7(s343) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.95 tff(44761,plain,
% 15.20/10.95 (~trans(s399, s343)),
% 15.20/10.95 inference(unit_resolution,[status(thm)],[44760, 38131, 37532])).
% 15.20/10.95 tff(44762,assumption,(~until2p7(s97)), introduced(assumption)).
% 15.20/10.95 tff(44763,assumption,(trans(s399, s97)), introduced(assumption)).
% 15.20/10.95 tff(44764,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s97)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44765,plain,
% 15.20/10.95 (((~trans(s399, s97)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s97)) <=> (until2p7(s97) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s97)))),
% 15.20/10.95 inference(rewrite,[status(thm)],[])).
% 15.20/10.95 tff(44766,plain,
% 15.20/10.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s97)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s97))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44765])).
% 15.20/10.96 tff(44767,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s97)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s97)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44766, 44764])).
% 15.20/10.96 tff(44768,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s97)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s97))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44769,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s97))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44768, 44767])).
% 15.20/10.96 tff(44770,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44769, 37542, 44763, 38491, 44762, 40730])).
% 15.20/10.96 tff(44771,plain,((~trans(s399, s97)) | until2p7(s97) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44772,plain,
% 15.20/10.96 (~trans(s399, s97)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44771, 41045, 37532])).
% 15.20/10.96 tff(44773,assumption,(~until2p7(s152)), introduced(assumption)).
% 15.20/10.96 tff(44774,assumption,(trans(s399, s152)), introduced(assumption)).
% 15.20/10.96 tff(44775,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s152) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s152)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44776,plain,
% 15.20/10.96 (((~trans(s399, s152)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s152)) <=> (until2p7(s152) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s152)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44777,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s152)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s152) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s152))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44776])).
% 15.20/10.96 tff(44778,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s152)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s152)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44777, 44775])).
% 15.20/10.96 tff(44779,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s152)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s152))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44780,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s152))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44779, 44778])).
% 15.20/10.96 tff(44781,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44780, 37542, 44774, 38491, 44773, 40730])).
% 15.20/10.96 tff(44782,plain,((~trans(s399, s152)) | until2p7(s152) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44783,plain,
% 15.20/10.96 (~trans(s399, s152)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44782, 40339, 37532])).
% 15.20/10.96 tff(44784,assumption,(~until2p7(s82)), introduced(assumption)).
% 15.20/10.96 tff(44785,assumption,(trans(s399, s82)), introduced(assumption)).
% 15.20/10.96 tff(44786,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s82)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44787,plain,
% 15.20/10.96 (((~trans(s399, s82)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s82)) <=> (until2p7(s82) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s82)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44788,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s82)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s82))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44787])).
% 15.20/10.96 tff(44789,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s82)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s82)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44788, 44786])).
% 15.20/10.96 tff(44790,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s82)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s82))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44791,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s82))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44790, 44789])).
% 15.20/10.96 tff(44792,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44791, 37542, 44785, 38491, 44784, 40730])).
% 15.20/10.96 tff(44793,plain,((~trans(s399, s82)) | until2p7(s82) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44794,plain,
% 15.20/10.96 (~trans(s399, s82)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44793, 41232, 37532])).
% 15.20/10.96 tff(44795,assumption,(~until2p7(s47)), introduced(assumption)).
% 15.20/10.96 tff(44796,assumption,(trans(s399, s47)), introduced(assumption)).
% 15.20/10.96 tff(44797,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s47)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44798,plain,
% 15.20/10.96 (((~trans(s399, s47)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s47)) <=> (until2p7(s47) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s47)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44799,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s47)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s47))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44798])).
% 15.20/10.96 tff(44800,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s47)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s47)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44799, 44797])).
% 15.20/10.96 tff(44801,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s47)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s47))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44802,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s47))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44801, 44800])).
% 15.20/10.96 tff(44803,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44802, 37542, 44796, 38491, 44795, 40730])).
% 15.20/10.96 tff(44804,plain,((~trans(s399, s47)) | until2p7(s47) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44805,plain,
% 15.20/10.96 (~trans(s399, s47)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44804, 41652, 37532])).
% 15.20/10.96 tff(44806,assumption,(~until2p7(s207)), introduced(assumption)).
% 15.20/10.96 tff(44807,assumption,(trans(s399, s207)), introduced(assumption)).
% 15.20/10.96 tff(44808,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s207) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s207)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s207)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44809,plain,
% 15.20/10.96 (((~trans(s399, s207)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s207)) <=> (until2p7(s207) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s207)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44810,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s207)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s207) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s207))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44809])).
% 15.20/10.96 tff(44811,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s207)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s207)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44810, 44808])).
% 15.20/10.96 tff(44812,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s207)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s207))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44813,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s207))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44812, 44811])).
% 15.20/10.96 tff(44814,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44813, 37542, 44807, 38491, 44806, 40730])).
% 15.20/10.96 tff(44815,plain,((~trans(s399, s207)) | until2p7(s207) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44816,plain,
% 15.20/10.96 (~trans(s399, s207)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44815, 39692, 37532])).
% 15.20/10.96 tff(44817,assumption,(~until2p7(s287)), introduced(assumption)).
% 15.20/10.96 tff(44818,assumption,(trans(s399, s287)), introduced(assumption)).
% 15.20/10.96 tff(44819,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s287) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s287)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s287)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44820,plain,
% 15.20/10.96 (((~trans(s399, s287)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s287)) <=> (until2p7(s287) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s287)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44821,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s287)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s287) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s287))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44820])).
% 15.20/10.96 tff(44822,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s287)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s287)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44821, 44819])).
% 15.20/10.96 tff(44823,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s287)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s287))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44824,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s287))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44823, 44822])).
% 15.20/10.96 tff(44825,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44824, 37542, 44818, 38491, 44817, 40730])).
% 15.20/10.96 tff(44826,plain,((~trans(s399, s287)) | until2p7(s287) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44827,plain,
% 15.20/10.96 (~trans(s399, s287)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44826, 38735, 37532])).
% 15.20/10.96 tff(44828,assumption,(~until2p7(s327)), introduced(assumption)).
% 15.20/10.96 tff(44829,assumption,(trans(s399, s327)), introduced(assumption)).
% 15.20/10.96 tff(44830,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s327) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s327)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s327) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s327)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44831,plain,
% 15.20/10.96 (((~trans(s399, s327)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s327)) <=> (until2p7(s327) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s327)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44832,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s327)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s327) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s327))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44831])).
% 15.20/10.96 tff(44833,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s327)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s327) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s327)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44832, 44830])).
% 15.20/10.96 tff(44834,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s327)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s327))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44835,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s327) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s327))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44834, 44833])).
% 15.20/10.96 tff(44836,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44835, 37542, 44829, 38491, 44828, 40730])).
% 15.20/10.96 tff(44837,plain,((~trans(s399, s327)) | until2p7(s327) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44838,plain,
% 15.20/10.96 (~trans(s399, s327)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44837, 38291, 37532])).
% 15.20/10.96 tff(44839,assumption,(~until2p7(s307)), introduced(assumption)).
% 15.20/10.96 tff(44840,assumption,(trans(s399, s307)), introduced(assumption)).
% 15.20/10.96 tff(44841,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s307) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s307)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s307) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s307)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44842,plain,
% 15.20/10.96 (((~trans(s399, s307)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s307)) <=> (until2p7(s307) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s307)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44843,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s307)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s307) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s307))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44842])).
% 15.20/10.96 tff(44844,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s307)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s307) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s307)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44843, 44841])).
% 15.20/10.96 tff(44845,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s307)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s307))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44846,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s307) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s307))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44845, 44844])).
% 15.20/10.96 tff(44847,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44846, 37542, 44840, 38491, 44839, 40730])).
% 15.20/10.96 tff(44848,plain,((~trans(s399, s307)) | until2p7(s307) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44849,plain,
% 15.20/10.96 (~trans(s399, s307)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44848, 38501, 37532])).
% 15.20/10.96 tff(44850,assumption,(~until2p7(s94)), introduced(assumption)).
% 15.20/10.96 tff(44851,assumption,(trans(s399, s94)), introduced(assumption)).
% 15.20/10.96 tff(44852,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s94)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44853,plain,
% 15.20/10.96 (((~trans(s399, s94)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s94)) <=> (until2p7(s94) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s94)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44854,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s94)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s94))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44853])).
% 15.20/10.96 tff(44855,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s94)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s94)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44854, 44852])).
% 15.20/10.96 tff(44856,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s94)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s94))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44857,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s94))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44856, 44855])).
% 15.20/10.96 tff(44858,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44857, 37542, 44851, 38491, 44850, 40730])).
% 15.20/10.96 tff(44859,plain,((~trans(s399, s94)) | until2p7(s94) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44860,plain,
% 15.20/10.96 (~trans(s399, s94)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44859, 41089, 37532])).
% 15.20/10.96 tff(44861,assumption,(~until2p7(s10)), introduced(assumption)).
% 15.20/10.96 tff(44862,assumption,(trans(s399, s10)), introduced(assumption)).
% 15.20/10.96 tff(44863,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s10)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44864,plain,
% 15.20/10.96 (((~trans(s399, s10)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s10)) <=> (until2p7(s10) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s10)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44865,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s10)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s10))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44864])).
% 15.20/10.96 tff(44866,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s10)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s10)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44865, 44863])).
% 15.20/10.96 tff(44867,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s10)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s10))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44868,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s10))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44867, 44866])).
% 15.20/10.96 tff(44869,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44868, 37542, 44862, 38491, 44861, 40730])).
% 15.20/10.96 tff(44870,plain,((~trans(s399, s10)) | until2p7(s10) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44871,plain,
% 15.20/10.96 (~trans(s399, s10)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44870, 42090, 37532])).
% 15.20/10.96 tff(44872,assumption,(~until2p7(s274)), introduced(assumption)).
% 15.20/10.96 tff(44873,assumption,(trans(s399, s274)), introduced(assumption)).
% 15.20/10.96 tff(44874,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s274) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s274)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s274)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44875,plain,
% 15.20/10.96 (((~trans(s399, s274)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s274)) <=> (until2p7(s274) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s274)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44876,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s274)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s274) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s274))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44875])).
% 15.20/10.96 tff(44877,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s274)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s274)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44876, 44874])).
% 15.20/10.96 tff(44878,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s274)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s274))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44879,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s274))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44878, 44877])).
% 15.20/10.96 tff(44880,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44879, 37542, 44873, 38491, 44872, 40730])).
% 15.20/10.96 tff(44881,plain,((~trans(s399, s274)) | until2p7(s274) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44882,plain,
% 15.20/10.96 (~trans(s399, s274)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44881, 38891, 37532])).
% 15.20/10.96 tff(44883,assumption,(~until2p7(s121)), introduced(assumption)).
% 15.20/10.96 tff(44884,assumption,(trans(s399, s121)), introduced(assumption)).
% 15.20/10.96 tff(44885,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s121) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s121)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44886,plain,
% 15.20/10.96 (((~trans(s399, s121)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s121)) <=> (until2p7(s121) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s121)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44887,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s121)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s121) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s121))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44886])).
% 15.20/10.96 tff(44888,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s121)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s121)))),
% 15.20/10.96 inference(transitivity,[status(thm)],[44887, 44885])).
% 15.20/10.96 tff(44889,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s121)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s121))),
% 15.20/10.96 inference(quant_inst,[status(thm)],[])).
% 15.20/10.96 tff(44890,plain,
% 15.20/10.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s121))),
% 15.20/10.96 inference(modus_ponens,[status(thm)],[44889, 44888])).
% 15.20/10.96 tff(44891,plain,
% 15.20/10.96 ($false),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44890, 37542, 44884, 38491, 44883, 40730])).
% 15.20/10.96 tff(44892,plain,((~trans(s399, s121)) | until2p7(s121) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.96 tff(44893,plain,
% 15.20/10.96 (~trans(s399, s121)),
% 15.20/10.96 inference(unit_resolution,[status(thm)],[44892, 40705, 37532])).
% 15.20/10.96 tff(44894,assumption,(~until2p7(s86)), introduced(assumption)).
% 15.20/10.96 tff(44895,assumption,(trans(s399, s86)), introduced(assumption)).
% 15.20/10.96 tff(44896,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s86)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44897,plain,
% 15.20/10.96 (((~trans(s399, s86)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s86)) <=> (until2p7(s86) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s86)))),
% 15.20/10.96 inference(rewrite,[status(thm)],[])).
% 15.20/10.96 tff(44898,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s86)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s86))))),
% 15.20/10.96 inference(monotonicity,[status(thm)],[44897])).
% 15.20/10.96 tff(44899,plain,
% 15.20/10.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s86)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s86)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44898, 44896])).
% 15.20/10.97 tff(44900,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s86)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s86))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44901,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s86))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44900, 44899])).
% 15.20/10.97 tff(44902,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44901, 37542, 44895, 38491, 44894, 40730])).
% 15.20/10.97 tff(44903,plain,((~trans(s399, s86)) | until2p7(s86) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44904,plain,
% 15.20/10.97 (~trans(s399, s86)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44903, 41185, 37532])).
% 15.20/10.97 tff(44905,assumption,(~until2p7(s335)), introduced(assumption)).
% 15.20/10.97 tff(44906,assumption,(trans(s399, s335)), introduced(assumption)).
% 15.20/10.97 tff(44907,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s335) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s335)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s335) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s335)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44908,plain,
% 15.20/10.97 (((~trans(s399, s335)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s335)) <=> (until2p7(s335) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s335)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44909,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s335)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s335) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s335))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44908])).
% 15.20/10.97 tff(44910,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s335)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s335) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s335)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44909, 44907])).
% 15.20/10.97 tff(44911,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s335)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s335))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44912,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s335) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s335))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44911, 44910])).
% 15.20/10.97 tff(44913,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44912, 37542, 44906, 38491, 44905, 40730])).
% 15.20/10.97 tff(44914,plain,((~trans(s399, s335)) | until2p7(s335) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44915,plain,
% 15.20/10.97 (~trans(s399, s335)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44914, 38211, 37532])).
% 15.20/10.97 tff(44916,assumption,(~until2p7(s277)), introduced(assumption)).
% 15.20/10.97 tff(44917,assumption,(trans(s399, s277)), introduced(assumption)).
% 15.20/10.97 tff(44918,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s277) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s277)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s277)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44919,plain,
% 15.20/10.97 (((~trans(s399, s277)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s277)) <=> (until2p7(s277) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s277)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44920,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s277)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s277) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s277))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44919])).
% 15.20/10.97 tff(44921,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s277)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s277)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44920, 44918])).
% 15.20/10.97 tff(44922,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s277)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s277))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44923,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s277))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44922, 44921])).
% 15.20/10.97 tff(44924,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44923, 37542, 44917, 38491, 44916, 40730])).
% 15.20/10.97 tff(44925,plain,((~trans(s399, s277)) | until2p7(s277) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44926,plain,
% 15.20/10.97 (~trans(s399, s277)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44925, 38855, 37532])).
% 15.20/10.97 tff(44927,assumption,(~until2p7(s326)), introduced(assumption)).
% 15.20/10.97 tff(44928,assumption,(trans(s399, s326)), introduced(assumption)).
% 15.20/10.97 tff(44929,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s326) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s326)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s326) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s326)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44930,plain,
% 15.20/10.97 (((~trans(s399, s326)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s326)) <=> (until2p7(s326) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s326)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44931,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s326)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s326) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s326))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44930])).
% 15.20/10.97 tff(44932,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s326)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s326) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s326)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44931, 44929])).
% 15.20/10.97 tff(44933,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s326)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s326))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44934,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s326) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s326))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44933, 44932])).
% 15.20/10.97 tff(44935,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44934, 37542, 44928, 38491, 44927, 40730])).
% 15.20/10.97 tff(44936,plain,((~trans(s399, s326)) | until2p7(s326) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44937,plain,
% 15.20/10.97 (~trans(s399, s326)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44936, 38301, 37532])).
% 15.20/10.97 tff(44938,assumption,(~until2p7(s171)), introduced(assumption)).
% 15.20/10.97 tff(44939,assumption,(trans(s399, s171)), introduced(assumption)).
% 15.20/10.97 tff(44940,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s171) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s171)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44941,plain,
% 15.20/10.97 (((~trans(s399, s171)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s171)) <=> (until2p7(s171) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s171)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44942,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s171)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s171) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s171))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44941])).
% 15.20/10.97 tff(44943,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s171)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s171)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44942, 44940])).
% 15.20/10.97 tff(44944,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s171)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s171))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44945,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s171))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44944, 44943])).
% 15.20/10.97 tff(44946,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44945, 37542, 44939, 38491, 44938, 40730])).
% 15.20/10.97 tff(44947,plain,((~trans(s399, s171)) | until2p7(s171) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44948,plain,
% 15.20/10.97 (~trans(s399, s171)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44947, 40118, 37532])).
% 15.20/10.97 tff(44949,assumption,(~until2p7(s151)), introduced(assumption)).
% 15.20/10.97 tff(44950,assumption,(trans(s399, s151)), introduced(assumption)).
% 15.20/10.97 tff(44951,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s151) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s151)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44952,plain,
% 15.20/10.97 (((~trans(s399, s151)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s151)) <=> (until2p7(s151) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s151)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44953,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s151)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s151) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s151))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44952])).
% 15.20/10.97 tff(44954,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s151)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s151)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44953, 44951])).
% 15.20/10.97 tff(44955,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s151)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s151))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44956,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s151))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44955, 44954])).
% 15.20/10.97 tff(44957,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44956, 37542, 44950, 38491, 44949, 40730])).
% 15.20/10.97 tff(44958,plain,((~trans(s399, s151)) | until2p7(s151) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44959,plain,
% 15.20/10.97 (~trans(s399, s151)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44958, 40353, 37532])).
% 15.20/10.97 tff(44960,assumption,(~until2p7(s27)), introduced(assumption)).
% 15.20/10.97 tff(44961,assumption,(trans(s399, s27)), introduced(assumption)).
% 15.20/10.97 tff(44962,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s27)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44963,plain,
% 15.20/10.97 (((~trans(s399, s27)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s27)) <=> (until2p7(s27) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s27)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44964,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s27)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s27))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44963])).
% 15.20/10.97 tff(44965,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s27)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s27)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44964, 44962])).
% 15.20/10.97 tff(44966,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s27)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s27))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44967,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s27))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44966, 44965])).
% 15.20/10.97 tff(44968,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44967, 37542, 44961, 38491, 44960, 40730])).
% 15.20/10.97 tff(44969,plain,((~trans(s399, s27)) | until2p7(s27) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44970,plain,
% 15.20/10.97 (~trans(s399, s27)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44969, 41887, 37532])).
% 15.20/10.97 tff(44971,assumption,(~until2p7(s320)), introduced(assumption)).
% 15.20/10.97 tff(44972,assumption,(trans(s399, s320)), introduced(assumption)).
% 15.20/10.97 tff(44973,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s320) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s320)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s320) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s320)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44974,plain,
% 15.20/10.97 (((~trans(s399, s320)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s320)) <=> (until2p7(s320) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s320)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44975,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s320)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s320) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s320))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44974])).
% 15.20/10.97 tff(44976,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s320)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s320) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s320)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44975, 44973])).
% 15.20/10.97 tff(44977,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s320)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s320))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44978,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s320) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s320))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44977, 44976])).
% 15.20/10.97 tff(44979,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44978, 37542, 44972, 38491, 44971, 40730])).
% 15.20/10.97 tff(44980,plain,((~trans(s399, s320)) | until2p7(s320) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44981,plain,
% 15.20/10.97 (~trans(s399, s320)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44980, 38361, 37532])).
% 15.20/10.97 tff(44982,assumption,(~until2p7(s15)), introduced(assumption)).
% 15.20/10.97 tff(44983,assumption,(trans(s399, s15)), introduced(assumption)).
% 15.20/10.97 tff(44984,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s15)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44985,plain,
% 15.20/10.97 (((~trans(s399, s15)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s15)) <=> (until2p7(s15) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s15)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44986,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s15)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s15))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44985])).
% 15.20/10.97 tff(44987,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s15)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s15)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44986, 44984])).
% 15.20/10.97 tff(44988,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s15)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s15))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(44989,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s15))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44988, 44987])).
% 15.20/10.97 tff(44990,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44989, 37542, 44983, 38491, 44982, 40730])).
% 15.20/10.97 tff(44991,plain,((~trans(s399, s15)) | until2p7(s15) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(44992,plain,
% 15.20/10.97 (~trans(s399, s15)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[44991, 42031, 37532])).
% 15.20/10.97 tff(44993,assumption,(~until2p7(s62)), introduced(assumption)).
% 15.20/10.97 tff(44994,assumption,(trans(s399, s62)), introduced(assumption)).
% 15.20/10.97 tff(44995,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s62)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44996,plain,
% 15.20/10.97 (((~trans(s399, s62)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s62)) <=> (until2p7(s62) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s62)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(44997,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s62)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s62))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[44996])).
% 15.20/10.97 tff(44998,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s62)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s62)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[44997, 44995])).
% 15.20/10.97 tff(44999,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s62)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s62))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(45000,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s62))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[44999, 44998])).
% 15.20/10.97 tff(45001,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[45000, 37542, 44994, 38491, 44993, 40730])).
% 15.20/10.97 tff(45002,plain,((~trans(s399, s62)) | until2p7(s62) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(45003,plain,
% 15.20/10.97 (~trans(s399, s62)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[45002, 41472, 37532])).
% 15.20/10.97 tff(45004,assumption,(~until2p7(s336)), introduced(assumption)).
% 15.20/10.97 tff(45005,assumption,(trans(s399, s336)), introduced(assumption)).
% 15.20/10.97 tff(45006,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s336) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s336)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s336) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s336)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(45007,plain,
% 15.20/10.97 (((~trans(s399, s336)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s336)) <=> (until2p7(s336) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s336)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(45008,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s336)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s336) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s336))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[45007])).
% 15.20/10.97 tff(45009,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s336)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s336) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s336)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[45008, 45006])).
% 15.20/10.97 tff(45010,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s336)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s336))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(45011,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s336) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s336))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[45010, 45009])).
% 15.20/10.97 tff(45012,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[45011, 37542, 45005, 38491, 45004, 40730])).
% 15.20/10.97 tff(45013,plain,((~trans(s399, s336)) | until2p7(s336) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(45014,plain,
% 15.20/10.97 (~trans(s399, s336)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[45013, 38201, 37532])).
% 15.20/10.97 tff(45015,assumption,(~until2p7(s241)), introduced(assumption)).
% 15.20/10.97 tff(45016,assumption,(trans(s399, s241)), introduced(assumption)).
% 15.20/10.97 tff(45017,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s241) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s241)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s241)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(45018,plain,
% 15.20/10.97 (((~trans(s399, s241)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s241)) <=> (until2p7(s241) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s241)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(45019,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s241)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s241) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s241))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[45018])).
% 15.20/10.97 tff(45020,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s241)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s241)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[45019, 45017])).
% 15.20/10.97 tff(45021,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s241)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s241))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(45022,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s241))),
% 15.20/10.97 inference(modus_ponens,[status(thm)],[45021, 45020])).
% 15.20/10.97 tff(45023,plain,
% 15.20/10.97 ($false),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[45022, 37542, 45016, 38491, 45015, 40730])).
% 15.20/10.97 tff(45024,plain,((~trans(s399, s241)) | until2p7(s241) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.97 tff(45025,plain,
% 15.20/10.97 (~trans(s399, s241)),
% 15.20/10.97 inference(unit_resolution,[status(thm)],[45024, 39287, 37532])).
% 15.20/10.97 tff(45026,assumption,(~until2p7(s93)), introduced(assumption)).
% 15.20/10.97 tff(45027,assumption,(trans(s399, s93)), introduced(assumption)).
% 15.20/10.97 tff(45028,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s93)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(45029,plain,
% 15.20/10.97 (((~trans(s399, s93)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s93)) <=> (until2p7(s93) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s93)))),
% 15.20/10.97 inference(rewrite,[status(thm)],[])).
% 15.20/10.97 tff(45030,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s93)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s93))))),
% 15.20/10.97 inference(monotonicity,[status(thm)],[45029])).
% 15.20/10.97 tff(45031,plain,
% 15.20/10.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s93)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s93)))),
% 15.20/10.97 inference(transitivity,[status(thm)],[45030, 45028])).
% 15.20/10.97 tff(45032,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s93)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s93))),
% 15.20/10.97 inference(quant_inst,[status(thm)],[])).
% 15.20/10.97 tff(45033,plain,
% 15.20/10.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s93))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45032, 45031])).
% 15.20/10.98 tff(45034,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45033, 37542, 45027, 38491, 45026, 40730])).
% 15.20/10.98 tff(45035,plain,((~trans(s399, s93)) | until2p7(s93) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45036,plain,
% 15.20/10.98 (~trans(s399, s93)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45035, 41101, 37532])).
% 15.20/10.98 tff(45037,assumption,(~until2p7(s251)), introduced(assumption)).
% 15.20/10.98 tff(45038,assumption,(trans(s399, s251)), introduced(assumption)).
% 15.20/10.98 tff(45039,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s251) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s251)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s251)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45040,plain,
% 15.20/10.98 (((~trans(s399, s251)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s251)) <=> (until2p7(s251) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s251)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45041,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s251)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s251) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s251))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45040])).
% 15.20/10.98 tff(45042,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s251)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s251)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45041, 45039])).
% 15.20/10.98 tff(45043,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s251)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s251))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45044,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s251))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45043, 45042])).
% 15.20/10.98 tff(45045,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45044, 37542, 45038, 38491, 45037, 40730])).
% 15.20/10.98 tff(45046,plain,((~trans(s399, s251)) | until2p7(s251) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45047,plain,
% 15.20/10.98 (~trans(s399, s251)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45046, 39167, 37532])).
% 15.20/10.98 tff(45048,assumption,(~until2p7(s231)), introduced(assumption)).
% 15.20/10.98 tff(45049,assumption,(trans(s399, s231)), introduced(assumption)).
% 15.20/10.98 tff(45050,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s231) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s231)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s231)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45051,plain,
% 15.20/10.98 (((~trans(s399, s231)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s231)) <=> (until2p7(s231) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s231)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45052,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s231)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s231) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s231))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45051])).
% 15.20/10.98 tff(45053,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s231)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s231)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45052, 45050])).
% 15.20/10.98 tff(45054,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s231)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s231))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45055,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s231))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45054, 45053])).
% 15.20/10.98 tff(45056,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45055, 37542, 45049, 38491, 45048, 40730])).
% 15.20/10.98 tff(45057,plain,((~trans(s399, s231)) | until2p7(s231) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45058,plain,
% 15.20/10.98 (~trans(s399, s231)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45057, 39407, 37532])).
% 15.20/10.98 tff(45059,assumption,(~until2p7(s355)), introduced(assumption)).
% 15.20/10.98 tff(45060,assumption,(trans(s399, s355)), introduced(assumption)).
% 15.20/10.98 tff(45061,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s355) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s355)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s355) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s355)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45062,plain,
% 15.20/10.98 (((~trans(s399, s355)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s355)) <=> (until2p7(s355) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s355)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45063,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s355)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s355) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s355))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45062])).
% 15.20/10.98 tff(45064,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s355)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s355) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s355)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45063, 45061])).
% 15.20/10.98 tff(45065,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s355)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s355))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45066,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s355) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s355))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45065, 45064])).
% 15.20/10.98 tff(45067,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45066, 37542, 45060, 38491, 45059, 40730])).
% 15.20/10.98 tff(45068,plain,((~trans(s399, s355)) | until2p7(s355) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45069,plain,
% 15.20/10.98 (~trans(s399, s355)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45068, 38011, 37532])).
% 15.20/10.98 tff(45070,assumption,(~until2p7(s120)), introduced(assumption)).
% 15.20/10.98 tff(45071,assumption,(trans(s399, s120)), introduced(assumption)).
% 15.20/10.98 tff(45072,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s120) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s120)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45073,plain,
% 15.20/10.98 (((~trans(s399, s120)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s120)) <=> (until2p7(s120) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s120)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45074,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s120)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s120) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s120))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45073])).
% 15.20/10.98 tff(45075,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s120)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s120)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45074, 45072])).
% 15.20/10.98 tff(45076,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s120)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s120))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45077,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s120))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45076, 45075])).
% 15.20/10.98 tff(45078,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45077, 37542, 45071, 38491, 45070, 40730])).
% 15.20/10.98 tff(45079,plain,((~trans(s399, s120)) | until2p7(s120) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45080,plain,
% 15.20/10.98 (~trans(s399, s120)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45079, 40717, 37532])).
% 15.20/10.98 tff(45081,assumption,(~until2p7(s101)), introduced(assumption)).
% 15.20/10.98 tff(45082,assumption,(trans(s399, s101)), introduced(assumption)).
% 15.20/10.98 tff(45083,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s101) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s101)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45084,plain,
% 15.20/10.98 (((~trans(s399, s101)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s101)) <=> (until2p7(s101) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s101)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45085,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s101)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s101) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s101))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45084])).
% 15.20/10.98 tff(45086,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s101)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s101)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45085, 45083])).
% 15.20/10.98 tff(45087,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s101)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s101))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45088,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s101))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45087, 45086])).
% 15.20/10.98 tff(45089,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45088, 37542, 45082, 38491, 45081, 40730])).
% 15.20/10.98 tff(45090,plain,((~trans(s399, s101)) | until2p7(s101) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45091,plain,
% 15.20/10.98 (~trans(s399, s101)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45090, 40998, 37532])).
% 15.20/10.98 tff(45092,assumption,(~until2p7(s182)), introduced(assumption)).
% 15.20/10.98 tff(45093,assumption,(trans(s399, s182)), introduced(assumption)).
% 15.20/10.98 tff(45094,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s182) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s182)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45095,plain,
% 15.20/10.98 (((~trans(s399, s182)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s182)) <=> (until2p7(s182) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s182)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45096,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s182)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s182) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s182))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45095])).
% 15.20/10.98 tff(45097,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s182)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s182)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45096, 45094])).
% 15.20/10.98 tff(45098,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s182)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s182))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45099,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s182))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45098, 45097])).
% 15.20/10.98 tff(45100,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45099, 37542, 45093, 38491, 45092, 40730])).
% 15.20/10.98 tff(45101,plain,((~trans(s399, s182)) | until2p7(s182) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45102,plain,
% 15.20/10.98 (~trans(s399, s182)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45101, 39988, 37532])).
% 15.20/10.98 tff(45103,assumption,(~until2p7(s359)), introduced(assumption)).
% 15.20/10.98 tff(45104,assumption,(trans(s399, s359)), introduced(assumption)).
% 15.20/10.98 tff(45105,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s359) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s359)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s359) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s359)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45106,plain,
% 15.20/10.98 (((~trans(s399, s359)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s359)) <=> (until2p7(s359) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s359)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45107,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s359)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s359) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s359))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45106])).
% 15.20/10.98 tff(45108,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s359)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s359) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s359)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45107, 45105])).
% 15.20/10.98 tff(45109,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s359)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s359))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45110,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s359) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s359))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45109, 45108])).
% 15.20/10.98 tff(45111,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45110, 37542, 45104, 38491, 45103, 40730])).
% 15.20/10.98 tff(45112,plain,((~trans(s399, s359)) | until2p7(s359) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45113,plain,
% 15.20/10.98 (~trans(s399, s359)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45112, 37971, 37532])).
% 15.20/10.98 tff(45114,assumption,(~until2p7(s214)), introduced(assumption)).
% 15.20/10.98 tff(45115,assumption,(trans(s399, s214)), introduced(assumption)).
% 15.20/10.98 tff(45116,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s214) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s214)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s214)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45117,plain,
% 15.20/10.98 (((~trans(s399, s214)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s214)) <=> (until2p7(s214) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s214)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45118,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s214)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s214) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s214))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45117])).
% 15.20/10.98 tff(45119,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s214)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s214)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45118, 45116])).
% 15.20/10.98 tff(45120,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s214)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s214))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45121,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s214))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45120, 45119])).
% 15.20/10.98 tff(45122,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45121, 37542, 45115, 38491, 45114, 40730])).
% 15.20/10.98 tff(45123,plain,((~trans(s399, s214)) | until2p7(s214) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45124,plain,
% 15.20/10.98 (~trans(s399, s214)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45123, 39610, 37532])).
% 15.20/10.98 tff(45125,assumption,(~until2p7(s72)), introduced(assumption)).
% 15.20/10.98 tff(45126,assumption,(trans(s399, s72)), introduced(assumption)).
% 15.20/10.98 tff(45127,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s72)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45128,plain,
% 15.20/10.98 (((~trans(s399, s72)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s72)) <=> (until2p7(s72) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s72)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45129,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s72)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s72))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45128])).
% 15.20/10.98 tff(45130,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s72)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s72)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45129, 45127])).
% 15.20/10.98 tff(45131,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s72)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s72))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45132,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s72))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45131, 45130])).
% 15.20/10.98 tff(45133,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45132, 37542, 45126, 38491, 45125, 40730])).
% 15.20/10.98 tff(45134,plain,((~trans(s399, s72)) | until2p7(s72) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45135,plain,
% 15.20/10.98 (~trans(s399, s72)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45134, 41352, 37532])).
% 15.20/10.98 tff(45136,assumption,(~until2p7(s233)), introduced(assumption)).
% 15.20/10.98 tff(45137,assumption,(trans(s399, s233)), introduced(assumption)).
% 15.20/10.98 tff(45138,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s233) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s233)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s233)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45139,plain,
% 15.20/10.98 (((~trans(s399, s233)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s233)) <=> (until2p7(s233) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s233)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45140,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s233)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s233) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s233))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45139])).
% 15.20/10.98 tff(45141,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s233)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s233)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45140, 45138])).
% 15.20/10.98 tff(45142,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s233)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s233))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45143,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s233))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45142, 45141])).
% 15.20/10.98 tff(45144,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45143, 37542, 45137, 38491, 45136, 40730])).
% 15.20/10.98 tff(45145,plain,((~trans(s399, s233)) | until2p7(s233) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45146,plain,
% 15.20/10.98 (~trans(s399, s233)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45145, 39383, 37532])).
% 15.20/10.98 tff(45147,assumption,(~until2p7(s328)), introduced(assumption)).
% 15.20/10.98 tff(45148,assumption,(trans(s399, s328)), introduced(assumption)).
% 15.20/10.98 tff(45149,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s328) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s328)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s328) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s328)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45150,plain,
% 15.20/10.98 (((~trans(s399, s328)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s328)) <=> (until2p7(s328) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s328)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45151,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s328)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s328) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s328))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45150])).
% 15.20/10.98 tff(45152,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s328)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s328) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s328)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45151, 45149])).
% 15.20/10.98 tff(45153,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s328)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s328))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45154,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s328) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s328))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45153, 45152])).
% 15.20/10.98 tff(45155,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45154, 37542, 45148, 38491, 45147, 40730])).
% 15.20/10.98 tff(45156,plain,((~trans(s399, s328)) | until2p7(s328) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45157,plain,
% 15.20/10.98 (~trans(s399, s328)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45156, 38281, 37532])).
% 15.20/10.98 tff(45158,assumption,(~until2p7(s53)), introduced(assumption)).
% 15.20/10.98 tff(45159,assumption,(trans(s399, s53)), introduced(assumption)).
% 15.20/10.98 tff(45160,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s53)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45161,plain,
% 15.20/10.98 (((~trans(s399, s53)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s53)) <=> (until2p7(s53) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s53)))),
% 15.20/10.98 inference(rewrite,[status(thm)],[])).
% 15.20/10.98 tff(45162,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s53)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s53))))),
% 15.20/10.98 inference(monotonicity,[status(thm)],[45161])).
% 15.20/10.98 tff(45163,plain,
% 15.20/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s53)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s53)))),
% 15.20/10.98 inference(transitivity,[status(thm)],[45162, 45160])).
% 15.20/10.98 tff(45164,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s53)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s53))),
% 15.20/10.98 inference(quant_inst,[status(thm)],[])).
% 15.20/10.98 tff(45165,plain,
% 15.20/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s53))),
% 15.20/10.98 inference(modus_ponens,[status(thm)],[45164, 45163])).
% 15.20/10.98 tff(45166,plain,
% 15.20/10.98 ($false),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45165, 37542, 45159, 38491, 45158, 40730])).
% 15.20/10.98 tff(45167,plain,((~trans(s399, s53)) | until2p7(s53) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.20/10.98 tff(45168,plain,
% 15.20/10.98 (~trans(s399, s53)),
% 15.20/10.98 inference(unit_resolution,[status(thm)],[45167, 41580, 37532])).
% 15.28/10.98 tff(45169,assumption,(~until2p7(s124)), introduced(assumption)).
% 15.28/10.98 tff(45170,assumption,(trans(s399, s124)), introduced(assumption)).
% 15.28/10.98 tff(45171,plain,
% 15.28/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s124) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s124)))),
% 15.28/10.98 inference(rewrite,[status(thm)],[])).
% 15.28/10.98 tff(45172,plain,
% 15.28/10.98 (((~trans(s399, s124)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s124)) <=> (until2p7(s124) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s124)))),
% 15.28/10.98 inference(rewrite,[status(thm)],[])).
% 15.28/10.98 tff(45173,plain,
% 15.28/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s124)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s124) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s124))))),
% 15.28/10.98 inference(monotonicity,[status(thm)],[45172])).
% 15.28/10.98 tff(45174,plain,
% 15.28/10.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s124)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s124)))),
% 15.28/10.98 inference(transitivity,[status(thm)],[45173, 45171])).
% 15.28/10.98 tff(45175,plain,
% 15.28/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s124)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s124))),
% 15.28/10.98 inference(quant_inst,[status(thm)],[])).
% 15.28/10.98 tff(45176,plain,
% 15.28/10.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s124))),
% 15.28/10.98 inference(modus_ponens,[status(thm)],[45175, 45174])).
% 15.28/10.98 tff(45177,plain,
% 15.28/10.98 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45176, 37542, 45170, 38491, 45169, 40730])).
% 15.28/10.99 tff(45178,plain,((~trans(s399, s124)) | until2p7(s124) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45179,plain,
% 15.28/10.99 (~trans(s399, s124)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45178, 40670, 37532])).
% 15.28/10.99 tff(45180,assumption,(~until2p7(s316)), introduced(assumption)).
% 15.28/10.99 tff(45181,assumption,(trans(s399, s316)), introduced(assumption)).
% 15.28/10.99 tff(45182,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s316) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s316)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s316) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s316)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45183,plain,
% 15.28/10.99 (((~trans(s399, s316)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s316)) <=> (until2p7(s316) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s316)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45184,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s316)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s316) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s316))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45183])).
% 15.28/10.99 tff(45185,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s316)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s316) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s316)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45184, 45182])).
% 15.28/10.99 tff(45186,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s316)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s316))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45187,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s316) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s316))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45186, 45185])).
% 15.28/10.99 tff(45188,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45187, 37542, 45181, 38491, 45180, 40730])).
% 15.28/10.99 tff(45189,plain,((~trans(s399, s316)) | until2p7(s316) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45190,plain,
% 15.28/10.99 (~trans(s399, s316)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45189, 38401, 37532])).
% 15.28/10.99 tff(45191,assumption,(~until2p7(s366)), introduced(assumption)).
% 15.28/10.99 tff(45192,assumption,(trans(s399, s366)), introduced(assumption)).
% 15.28/10.99 tff(45193,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s366) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s366)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s366) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s366)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45194,plain,
% 15.28/10.99 (((~trans(s399, s366)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s366)) <=> (until2p7(s366) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s366)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45195,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s366)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s366) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s366))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45194])).
% 15.28/10.99 tff(45196,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s366)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s366) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s366)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45195, 45193])).
% 15.28/10.99 tff(45197,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s366)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s366))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45198,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s366) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s366))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45197, 45196])).
% 15.28/10.99 tff(45199,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45198, 37542, 45192, 38491, 45191, 40730])).
% 15.28/10.99 tff(45200,plain,((~trans(s399, s366)) | until2p7(s366) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45201,plain,
% 15.28/10.99 (~trans(s399, s366)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45200, 37901, 37532])).
% 15.28/10.99 tff(45202,assumption,(~until2p7(s332)), introduced(assumption)).
% 15.28/10.99 tff(45203,assumption,(trans(s399, s332)), introduced(assumption)).
% 15.28/10.99 tff(45204,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s332) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s332)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s332) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s332)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45205,plain,
% 15.28/10.99 (((~trans(s399, s332)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s332)) <=> (until2p7(s332) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s332)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45206,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s332)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s332) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s332))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45205])).
% 15.28/10.99 tff(45207,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s332)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s332) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s332)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45206, 45204])).
% 15.28/10.99 tff(45208,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s332)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s332))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45209,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s332) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s332))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45208, 45207])).
% 15.28/10.99 tff(45210,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45209, 37542, 45203, 38491, 45202, 40730])).
% 15.28/10.99 tff(45211,plain,((~trans(s399, s332)) | until2p7(s332) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45212,plain,
% 15.28/10.99 (~trans(s399, s332)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45211, 38241, 37532])).
% 15.28/10.99 tff(45213,assumption,(~until2p7(s58)), introduced(assumption)).
% 15.28/10.99 tff(45214,assumption,(trans(s399, s58)), introduced(assumption)).
% 15.28/10.99 tff(45215,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s58)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45216,plain,
% 15.28/10.99 (((~trans(s399, s58)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s58)) <=> (until2p7(s58) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s58)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45217,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s58)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s58))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45216])).
% 15.28/10.99 tff(45218,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s58)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s58)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45217, 45215])).
% 15.28/10.99 tff(45219,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s58)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s58))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45220,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s58))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45219, 45218])).
% 15.28/10.99 tff(45221,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45220, 37542, 45214, 38491, 45213, 40730])).
% 15.28/10.99 tff(45222,plain,((~trans(s399, s58)) | until2p7(s58) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45223,plain,
% 15.28/10.99 (~trans(s399, s58)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45222, 41520, 37532])).
% 15.28/10.99 tff(45224,assumption,(~until2p7(s59)), introduced(assumption)).
% 15.28/10.99 tff(45225,assumption,(trans(s399, s59)), introduced(assumption)).
% 15.28/10.99 tff(45226,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s59)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45227,plain,
% 15.28/10.99 (((~trans(s399, s59)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s59)) <=> (until2p7(s59) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s59)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45228,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s59)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s59))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45227])).
% 15.28/10.99 tff(45229,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s59)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s59)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45228, 45226])).
% 15.28/10.99 tff(45230,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s59)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s59))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45231,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s59))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45230, 45229])).
% 15.28/10.99 tff(45232,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45231, 37542, 45225, 38491, 45224, 40730])).
% 15.28/10.99 tff(45233,plain,((~trans(s399, s59)) | until2p7(s59) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45234,plain,
% 15.28/10.99 (~trans(s399, s59)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45233, 41508, 37532])).
% 15.28/10.99 tff(45235,assumption,(~until2p7(s103)), introduced(assumption)).
% 15.28/10.99 tff(45236,assumption,(trans(s399, s103)), introduced(assumption)).
% 15.28/10.99 tff(45237,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s103) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s103)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45238,plain,
% 15.28/10.99 (((~trans(s399, s103)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s103)) <=> (until2p7(s103) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s103)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45239,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s103)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s103) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s103))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45238])).
% 15.28/10.99 tff(45240,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s103)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s103)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45239, 45237])).
% 15.28/10.99 tff(45241,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s103)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s103))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45242,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s103))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45241, 45240])).
% 15.28/10.99 tff(45243,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45242, 37542, 45236, 38491, 45235, 40730])).
% 15.28/10.99 tff(45244,plain,((~trans(s399, s103)) | until2p7(s103) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45245,plain,
% 15.28/10.99 (~trans(s399, s103)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45244, 40976, 37532])).
% 15.28/10.99 tff(45246,assumption,(~until2p7(s43)), introduced(assumption)).
% 15.28/10.99 tff(45247,assumption,(trans(s399, s43)), introduced(assumption)).
% 15.28/10.99 tff(45248,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s43)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45249,plain,
% 15.28/10.99 (((~trans(s399, s43)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s43)) <=> (until2p7(s43) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s43)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45250,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s43)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s43))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45249])).
% 15.28/10.99 tff(45251,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s43)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s43)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45250, 45248])).
% 15.28/10.99 tff(45252,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s43)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s43))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45253,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s43))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45252, 45251])).
% 15.28/10.99 tff(45254,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45253, 37542, 45247, 38491, 45246, 40730])).
% 15.28/10.99 tff(45255,plain,((~trans(s399, s43)) | until2p7(s43) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45256,plain,
% 15.28/10.99 (~trans(s399, s43)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45255, 41699, 37532])).
% 15.28/10.99 tff(45257,assumption,(~until2p7(s131)), introduced(assumption)).
% 15.28/10.99 tff(45258,assumption,(trans(s399, s131)), introduced(assumption)).
% 15.28/10.99 tff(45259,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s131) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s131)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45260,plain,
% 15.28/10.99 (((~trans(s399, s131)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s131)) <=> (until2p7(s131) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s131)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45261,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s131)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s131) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s131))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45260])).
% 15.28/10.99 tff(45262,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s131)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s131)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45261, 45259])).
% 15.28/10.99 tff(45263,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s131)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s131))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45264,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s131))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45263, 45262])).
% 15.28/10.99 tff(45265,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45264, 37542, 45258, 38491, 45257, 40730])).
% 15.28/10.99 tff(45266,plain,((~trans(s399, s131)) | until2p7(s131) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45267,plain,
% 15.28/10.99 (~trans(s399, s131)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45266, 40588, 37532])).
% 15.28/10.99 tff(45268,assumption,(~until2p7(s230)), introduced(assumption)).
% 15.28/10.99 tff(45269,assumption,(trans(s399, s230)), introduced(assumption)).
% 15.28/10.99 tff(45270,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s230) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s230)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s230)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45271,plain,
% 15.28/10.99 (((~trans(s399, s230)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s230)) <=> (until2p7(s230) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s230)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45272,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s230)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s230) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s230))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45271])).
% 15.28/10.99 tff(45273,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s230)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s230)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45272, 45270])).
% 15.28/10.99 tff(45274,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s230)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s230))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45275,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s230))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45274, 45273])).
% 15.28/10.99 tff(45276,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45275, 37542, 45269, 38491, 45268, 40730])).
% 15.28/10.99 tff(45277,plain,((~trans(s399, s230)) | until2p7(s230) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45278,plain,
% 15.28/10.99 (~trans(s399, s230)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45277, 39419, 37532])).
% 15.28/10.99 tff(45279,assumption,(~until2p7(s323)), introduced(assumption)).
% 15.28/10.99 tff(45280,assumption,(trans(s399, s323)), introduced(assumption)).
% 15.28/10.99 tff(45281,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s323) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s323)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s323) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s323)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45282,plain,
% 15.28/10.99 (((~trans(s399, s323)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s323)) <=> (until2p7(s323) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s323)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45283,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s323)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s323) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s323))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45282])).
% 15.28/10.99 tff(45284,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s323)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s323) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s323)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45283, 45281])).
% 15.28/10.99 tff(45285,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s323)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s323))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45286,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s323) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s323))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45285, 45284])).
% 15.28/10.99 tff(45287,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45286, 37542, 45280, 38491, 45279, 40730])).
% 15.28/10.99 tff(45288,plain,((~trans(s399, s323)) | until2p7(s323) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45289,plain,
% 15.28/10.99 (~trans(s399, s323)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45288, 38331, 37532])).
% 15.28/10.99 tff(45290,assumption,(~until2p7(s284)), introduced(assumption)).
% 15.28/10.99 tff(45291,assumption,(trans(s399, s284)), introduced(assumption)).
% 15.28/10.99 tff(45292,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s284) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s284)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s284)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45293,plain,
% 15.28/10.99 (((~trans(s399, s284)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s284)) <=> (until2p7(s284) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s284)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45294,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s284)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s284) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s284))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45293])).
% 15.28/10.99 tff(45295,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s284)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s284)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45294, 45292])).
% 15.28/10.99 tff(45296,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s284)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s284))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45297,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s284))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45296, 45295])).
% 15.28/10.99 tff(45298,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45297, 37542, 45291, 38491, 45290, 40730])).
% 15.28/10.99 tff(45299,plain,((~trans(s399, s284)) | until2p7(s284) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45300,plain,
% 15.28/10.99 (~trans(s399, s284)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45299, 38771, 37532])).
% 15.28/10.99 tff(45301,assumption,(~until2p7(s60)), introduced(assumption)).
% 15.28/10.99 tff(45302,assumption,(trans(s399, s60)), introduced(assumption)).
% 15.28/10.99 tff(45303,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s60)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45304,plain,
% 15.28/10.99 (((~trans(s399, s60)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s60)) <=> (until2p7(s60) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s60)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45305,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s60)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s60))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45304])).
% 15.28/10.99 tff(45306,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s60)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s60)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45305, 45303])).
% 15.28/10.99 tff(45307,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s60)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s60))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45308,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s60))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45307, 45306])).
% 15.28/10.99 tff(45309,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45308, 37542, 45302, 38491, 45301, 40730])).
% 15.28/10.99 tff(45310,plain,((~trans(s399, s60)) | until2p7(s60) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/10.99 tff(45311,plain,
% 15.28/10.99 (~trans(s399, s60)),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45310, 41496, 37532])).
% 15.28/10.99 tff(45312,assumption,(~until2p7(s219)), introduced(assumption)).
% 15.28/10.99 tff(45313,assumption,(trans(s399, s219)), introduced(assumption)).
% 15.28/10.99 tff(45314,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s219) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s219)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s219)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45315,plain,
% 15.28/10.99 (((~trans(s399, s219)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s219)) <=> (until2p7(s219) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s219)))),
% 15.28/10.99 inference(rewrite,[status(thm)],[])).
% 15.28/10.99 tff(45316,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s219)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s219) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s219))))),
% 15.28/10.99 inference(monotonicity,[status(thm)],[45315])).
% 15.28/10.99 tff(45317,plain,
% 15.28/10.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s219)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s219)))),
% 15.28/10.99 inference(transitivity,[status(thm)],[45316, 45314])).
% 15.28/10.99 tff(45318,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s219)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s219))),
% 15.28/10.99 inference(quant_inst,[status(thm)],[])).
% 15.28/10.99 tff(45319,plain,
% 15.28/10.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s219))),
% 15.28/10.99 inference(modus_ponens,[status(thm)],[45318, 45317])).
% 15.28/10.99 tff(45320,plain,
% 15.28/10.99 ($false),
% 15.28/10.99 inference(unit_resolution,[status(thm)],[45319, 37542, 45313, 38491, 45312, 40730])).
% 15.28/10.99 tff(45321,plain,((~trans(s399, s219)) | until2p7(s219) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45322,plain,
% 15.28/11.00 (~trans(s399, s219)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45321, 39551, 37532])).
% 15.28/11.00 tff(45323,assumption,(~until2p7(s223)), introduced(assumption)).
% 15.28/11.00 tff(45324,assumption,(trans(s399, s223)), introduced(assumption)).
% 15.28/11.00 tff(45325,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s223) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s223)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s223)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45326,plain,
% 15.28/11.00 (((~trans(s399, s223)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s223)) <=> (until2p7(s223) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s223)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45327,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s223)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s223) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s223))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45326])).
% 15.28/11.00 tff(45328,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s223)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s223)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45327, 45325])).
% 15.28/11.00 tff(45329,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s223)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s223))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45330,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s223))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45329, 45328])).
% 15.28/11.00 tff(45331,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45330, 37542, 45324, 38491, 45323, 40730])).
% 15.28/11.00 tff(45332,plain,((~trans(s399, s223)) | until2p7(s223) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45333,plain,
% 15.28/11.00 (~trans(s399, s223)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45332, 39503, 37532])).
% 15.28/11.00 tff(45334,assumption,(~until2p7(s283)), introduced(assumption)).
% 15.28/11.00 tff(45335,assumption,(trans(s399, s283)), introduced(assumption)).
% 15.28/11.00 tff(45336,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s283) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s283)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s283)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45337,plain,
% 15.28/11.00 (((~trans(s399, s283)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s283)) <=> (until2p7(s283) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s283)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45338,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s283)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s283) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s283))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45337])).
% 15.28/11.00 tff(45339,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s283)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s283)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45338, 45336])).
% 15.28/11.00 tff(45340,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s283)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s283))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45341,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s283))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45340, 45339])).
% 15.28/11.00 tff(45342,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45341, 37542, 45335, 38491, 45334, 40730])).
% 15.28/11.00 tff(45343,plain,((~trans(s399, s283)) | until2p7(s283) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45344,plain,
% 15.28/11.00 (~trans(s399, s283)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45343, 38783, 37532])).
% 15.28/11.00 tff(45345,assumption,(~until2p7(s95)), introduced(assumption)).
% 15.28/11.00 tff(45346,assumption,(trans(s399, s95)), introduced(assumption)).
% 15.28/11.00 tff(45347,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s95)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45348,plain,
% 15.28/11.00 (((~trans(s399, s95)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s95)) <=> (until2p7(s95) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s95)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45349,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s95)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s95))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45348])).
% 15.28/11.00 tff(45350,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s95)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s95)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45349, 45347])).
% 15.28/11.00 tff(45351,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s95)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s95))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45352,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s95))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45351, 45350])).
% 15.28/11.00 tff(45353,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45352, 37542, 45346, 38491, 45345, 40730])).
% 15.28/11.00 tff(45354,plain,((~trans(s399, s95)) | until2p7(s95) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45355,plain,
% 15.28/11.00 (~trans(s399, s95)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45354, 41077, 37532])).
% 15.28/11.00 tff(45356,assumption,(~until2p7(s87)), introduced(assumption)).
% 15.28/11.00 tff(45357,assumption,(trans(s399, s87)), introduced(assumption)).
% 15.28/11.00 tff(45358,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s87)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45359,plain,
% 15.28/11.00 (((~trans(s399, s87)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s87)) <=> (until2p7(s87) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s87)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45360,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s87)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s87))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45359])).
% 15.28/11.00 tff(45361,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s87)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s87)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45360, 45358])).
% 15.28/11.00 tff(45362,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s87)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s87))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45363,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s87))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45362, 45361])).
% 15.28/11.00 tff(45364,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45363, 37542, 45357, 38491, 45356, 40730])).
% 15.28/11.00 tff(45365,plain,((~trans(s399, s87)) | until2p7(s87) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45366,plain,
% 15.28/11.00 (~trans(s399, s87)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45365, 41173, 37532])).
% 15.28/11.00 tff(45367,assumption,(~until2p7(s99)), introduced(assumption)).
% 15.28/11.00 tff(45368,assumption,(trans(s399, s99)), introduced(assumption)).
% 15.28/11.00 tff(45369,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s99)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45370,plain,
% 15.28/11.00 (((~trans(s399, s99)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s99)) <=> (until2p7(s99) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s99)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45371,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s99)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s99))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45370])).
% 15.28/11.00 tff(45372,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s99)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s99)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45371, 45369])).
% 15.28/11.00 tff(45373,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s99)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s99))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45374,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s99))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45373, 45372])).
% 15.28/11.00 tff(45375,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45374, 37542, 45368, 38491, 45367, 40730])).
% 15.28/11.00 tff(45376,plain,((~trans(s399, s99)) | until2p7(s99) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45377,plain,
% 15.28/11.00 (~trans(s399, s99)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45376, 41021, 37532])).
% 15.28/11.00 tff(45378,assumption,(~until2p7(s351)), introduced(assumption)).
% 15.28/11.00 tff(45379,assumption,(trans(s399, s351)), introduced(assumption)).
% 15.28/11.00 tff(45380,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s351) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s351)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s351) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s351)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45381,plain,
% 15.28/11.00 (((~trans(s399, s351)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s351)) <=> (until2p7(s351) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s351)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45382,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s351)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s351) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s351))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45381])).
% 15.28/11.00 tff(45383,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s351)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s351) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s351)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45382, 45380])).
% 15.28/11.00 tff(45384,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s351)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s351))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45385,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s351) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s351))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45384, 45383])).
% 15.28/11.00 tff(45386,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45385, 37542, 45379, 38491, 45378, 40730])).
% 15.28/11.00 tff(45387,plain,((~trans(s399, s351)) | until2p7(s351) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45388,plain,
% 15.28/11.00 (~trans(s399, s351)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45387, 38051, 37532])).
% 15.28/11.00 tff(45389,assumption,(~until2p7(s132)), introduced(assumption)).
% 15.28/11.00 tff(45390,assumption,(trans(s399, s132)), introduced(assumption)).
% 15.28/11.00 tff(45391,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s132) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s132)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45392,plain,
% 15.28/11.00 (((~trans(s399, s132)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s132)) <=> (until2p7(s132) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s132)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45393,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s132)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s132) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s132))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45392])).
% 15.28/11.00 tff(45394,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s132)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s132)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45393, 45391])).
% 15.28/11.00 tff(45395,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s132)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s132))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45396,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s132))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45395, 45394])).
% 15.28/11.00 tff(45397,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45396, 37542, 45390, 38491, 45389, 40730])).
% 15.28/11.00 tff(45398,plain,((~trans(s399, s132)) | until2p7(s132) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45399,plain,
% 15.28/11.00 (~trans(s399, s132)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45398, 40576, 37532])).
% 15.28/11.00 tff(45400,assumption,(~until2p7(s260)), introduced(assumption)).
% 15.28/11.00 tff(45401,assumption,(trans(s399, s260)), introduced(assumption)).
% 15.28/11.00 tff(45402,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s260) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s260)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s260)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45403,plain,
% 15.28/11.00 (((~trans(s399, s260)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s260)) <=> (until2p7(s260) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s260)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45404,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s260)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s260) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s260))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45403])).
% 15.28/11.00 tff(45405,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s260)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s260)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45404, 45402])).
% 15.28/11.00 tff(45406,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s260)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s260))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45407,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s260))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45406, 45405])).
% 15.28/11.00 tff(45408,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45407, 37542, 45401, 38491, 45400, 40730])).
% 15.28/11.00 tff(45409,plain,((~trans(s399, s260)) | until2p7(s260) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45410,plain,
% 15.28/11.00 (~trans(s399, s260)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45409, 39059, 37532])).
% 15.28/11.00 tff(45411,assumption,(~until2p7(s298)), introduced(assumption)).
% 15.28/11.00 tff(45412,assumption,(trans(s399, s298)), introduced(assumption)).
% 15.28/11.00 tff(45413,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s298) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s298)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s298)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45414,plain,
% 15.28/11.00 (((~trans(s399, s298)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s298)) <=> (until2p7(s298) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s298)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45415,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s298)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s298) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s298))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45414])).
% 15.28/11.00 tff(45416,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s298)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s298)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45415, 45413])).
% 15.28/11.00 tff(45417,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s298)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s298))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45418,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s298))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45417, 45416])).
% 15.28/11.00 tff(45419,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45418, 37542, 45412, 38491, 45411, 40730])).
% 15.28/11.00 tff(45420,plain,((~trans(s399, s298)) | until2p7(s298) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45421,plain,
% 15.28/11.00 (~trans(s399, s298)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45420, 38604, 37532])).
% 15.28/11.00 tff(45422,assumption,(~until2p7(s334)), introduced(assumption)).
% 15.28/11.00 tff(45423,assumption,(trans(s399, s334)), introduced(assumption)).
% 15.28/11.00 tff(45424,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s334) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s334)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s334) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s334)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45425,plain,
% 15.28/11.00 (((~trans(s399, s334)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s334)) <=> (until2p7(s334) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s334)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45426,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s334)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s334) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s334))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45425])).
% 15.28/11.00 tff(45427,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s334)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s334) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s334)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45426, 45424])).
% 15.28/11.00 tff(45428,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s334)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s334))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45429,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s334) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s334))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45428, 45427])).
% 15.28/11.00 tff(45430,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45429, 37542, 45423, 38491, 45422, 40730])).
% 15.28/11.00 tff(45431,plain,((~trans(s399, s334)) | until2p7(s334) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45432,plain,
% 15.28/11.00 (~trans(s399, s334)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45431, 38221, 37532])).
% 15.28/11.00 tff(45433,assumption,(~until2p7(s398)), introduced(assumption)).
% 15.28/11.00 tff(45434,assumption,(trans(s399, s398)), introduced(assumption)).
% 15.28/11.00 tff(45435,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s398) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s398)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s398) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s398)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45436,plain,
% 15.28/11.00 (((~trans(s399, s398)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s398)) <=> (until2p7(s398) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s398)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45437,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s398)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s398) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s398))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45436])).
% 15.28/11.00 tff(45438,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s398)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s398) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s398)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45437, 45435])).
% 15.28/11.00 tff(45439,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s398)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s398))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45440,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s398) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s398))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45439, 45438])).
% 15.28/11.00 tff(45441,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45440, 37542, 45434, 38491, 45433, 40730])).
% 15.28/11.00 tff(45442,plain,((~trans(s399, s398)) | until2p7(s398) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45443,plain,
% 15.28/11.00 (~trans(s399, s398)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45442, 37581, 37532])).
% 15.28/11.00 tff(45444,assumption,(~until2p7(s227)), introduced(assumption)).
% 15.28/11.00 tff(45445,assumption,(trans(s399, s227)), introduced(assumption)).
% 15.28/11.00 tff(45446,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s227) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s227)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s227)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45447,plain,
% 15.28/11.00 (((~trans(s399, s227)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s227)) <=> (until2p7(s227) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s227)))),
% 15.28/11.00 inference(rewrite,[status(thm)],[])).
% 15.28/11.00 tff(45448,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s227)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s227) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s227))))),
% 15.28/11.00 inference(monotonicity,[status(thm)],[45447])).
% 15.28/11.00 tff(45449,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s227)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s227)))),
% 15.28/11.00 inference(transitivity,[status(thm)],[45448, 45446])).
% 15.28/11.00 tff(45450,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s227)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s227))),
% 15.28/11.00 inference(quant_inst,[status(thm)],[])).
% 15.28/11.00 tff(45451,plain,
% 15.28/11.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s227))),
% 15.28/11.00 inference(modus_ponens,[status(thm)],[45450, 45449])).
% 15.28/11.00 tff(45452,plain,
% 15.28/11.00 ($false),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45451, 37542, 45445, 38491, 45444, 40730])).
% 15.28/11.00 tff(45453,plain,((~trans(s399, s227)) | until2p7(s227) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.00 tff(45454,plain,
% 15.28/11.00 (~trans(s399, s227)),
% 15.28/11.00 inference(unit_resolution,[status(thm)],[45453, 39455, 37532])).
% 15.28/11.00 tff(45455,assumption,(~until2p7(s270)), introduced(assumption)).
% 15.28/11.00 tff(45456,assumption,(trans(s399, s270)), introduced(assumption)).
% 15.28/11.00 tff(45457,plain,
% 15.28/11.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s270) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s270)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s270)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45458,plain,
% 15.28/11.01 (((~trans(s399, s270)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s270)) <=> (until2p7(s270) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s270)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45459,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s270)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s270) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s270))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45458])).
% 15.28/11.01 tff(45460,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s270)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s270)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45459, 45457])).
% 15.28/11.01 tff(45461,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s270)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s270))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45462,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s270))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45461, 45460])).
% 15.28/11.01 tff(45463,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45462, 37542, 45456, 38491, 45455, 40730])).
% 15.28/11.01 tff(45464,plain,((~trans(s399, s270)) | until2p7(s270) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45465,plain,
% 15.28/11.01 (~trans(s399, s270)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45464, 38939, 37532])).
% 15.28/11.01 tff(45466,assumption,(~until2p7(s159)), introduced(assumption)).
% 15.28/11.01 tff(45467,assumption,(trans(s399, s159)), introduced(assumption)).
% 15.28/11.01 tff(45468,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s159) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s159)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45469,plain,
% 15.28/11.01 (((~trans(s399, s159)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s159)) <=> (until2p7(s159) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s159)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45470,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s159)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s159) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s159))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45469])).
% 15.28/11.01 tff(45471,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s159)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s159)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45470, 45468])).
% 15.28/11.01 tff(45472,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s159)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s159))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45473,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s159))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45472, 45471])).
% 15.28/11.01 tff(45474,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45473, 37542, 45467, 38491, 45466, 40730])).
% 15.28/11.01 tff(45475,plain,((~trans(s399, s159)) | until2p7(s159) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45476,plain,
% 15.28/11.01 (~trans(s399, s159)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45475, 40259, 37532])).
% 15.28/11.01 tff(45477,assumption,(~until2p7(s32)), introduced(assumption)).
% 15.28/11.01 tff(45478,assumption,(trans(s399, s32)), introduced(assumption)).
% 15.28/11.01 tff(45479,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s32)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45480,plain,
% 15.28/11.01 (((~trans(s399, s32)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s32)) <=> (until2p7(s32) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s32)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45481,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s32)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s32))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45480])).
% 15.28/11.01 tff(45482,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s32)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s32)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45481, 45479])).
% 15.28/11.01 tff(45483,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s32)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s32))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45484,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s32))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45483, 45482])).
% 15.28/11.01 tff(45485,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45484, 37542, 45478, 38491, 45477, 40730])).
% 15.28/11.01 tff(45486,plain,((~trans(s399, s32)) | until2p7(s32) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45487,plain,
% 15.28/11.01 (~trans(s399, s32)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45486, 41829, 37532])).
% 15.28/11.01 tff(45488,assumption,(~until2p7(s57)), introduced(assumption)).
% 15.28/11.01 tff(45489,assumption,(trans(s399, s57)), introduced(assumption)).
% 15.28/11.01 tff(45490,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s57)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45491,plain,
% 15.28/11.01 (((~trans(s399, s57)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s57)) <=> (until2p7(s57) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s57)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45492,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s57)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s57))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45491])).
% 15.28/11.01 tff(45493,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s57)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s57)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45492, 45490])).
% 15.28/11.01 tff(45494,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s57)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s57))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45495,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s57))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45494, 45493])).
% 15.28/11.01 tff(45496,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45495, 37542, 45489, 38491, 45488, 40730])).
% 15.28/11.01 tff(45497,plain,((~trans(s399, s57)) | until2p7(s57) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45498,plain,
% 15.28/11.01 (~trans(s399, s57)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45497, 41532, 37532])).
% 15.28/11.01 tff(45499,assumption,(~until2p7(s358)), introduced(assumption)).
% 15.28/11.01 tff(45500,assumption,(trans(s399, s358)), introduced(assumption)).
% 15.28/11.01 tff(45501,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s358) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s358)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s358) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s358)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45502,plain,
% 15.28/11.01 (((~trans(s399, s358)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s358)) <=> (until2p7(s358) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s358)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45503,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s358)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s358) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s358))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45502])).
% 15.28/11.01 tff(45504,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s358)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s358) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s358)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45503, 45501])).
% 15.28/11.01 tff(45505,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s358)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s358))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45506,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s358) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s358))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45505, 45504])).
% 15.28/11.01 tff(45507,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45506, 37542, 45500, 38491, 45499, 40730])).
% 15.28/11.01 tff(45508,plain,((~trans(s399, s358)) | until2p7(s358) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45509,plain,
% 15.28/11.01 (~trans(s399, s358)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45508, 37981, 37532])).
% 15.28/11.01 tff(45510,assumption,(~until2p7(s100)), introduced(assumption)).
% 15.28/11.01 tff(45511,assumption,(trans(s399, s100)), introduced(assumption)).
% 15.28/11.01 tff(45512,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s100) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s100)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45513,plain,
% 15.28/11.01 (((~trans(s399, s100)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s100)) <=> (until2p7(s100) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s100)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45514,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s100)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s100) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s100))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45513])).
% 15.28/11.01 tff(45515,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s100)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s100)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45514, 45512])).
% 15.28/11.01 tff(45516,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s100)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s100))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45517,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s100))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45516, 45515])).
% 15.28/11.01 tff(45518,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45517, 37542, 45511, 38491, 45510, 40730])).
% 15.28/11.01 tff(45519,plain,((~trans(s399, s100)) | until2p7(s100) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45520,plain,
% 15.28/11.01 (~trans(s399, s100)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45519, 41011, 37532])).
% 15.28/11.01 tff(45521,assumption,(~until2p7(s34)), introduced(assumption)).
% 15.28/11.01 tff(45522,assumption,(trans(s399, s34)), introduced(assumption)).
% 15.28/11.01 tff(45523,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s34)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45524,plain,
% 15.28/11.01 (((~trans(s399, s34)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s34)) <=> (until2p7(s34) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s34)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45525,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s34)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s34))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45524])).
% 15.28/11.01 tff(45526,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s34)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s34)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45525, 45523])).
% 15.28/11.01 tff(45527,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s34)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s34))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45528,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s34))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45527, 45526])).
% 15.28/11.01 tff(45529,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45528, 37542, 45522, 38491, 45521, 40730])).
% 15.28/11.01 tff(45530,plain,((~trans(s399, s34)) | until2p7(s34) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45531,plain,
% 15.28/11.01 (~trans(s399, s34)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45530, 41806, 37532])).
% 15.28/11.01 tff(45532,assumption,(~until2p7(s263)), introduced(assumption)).
% 15.28/11.01 tff(45533,assumption,(trans(s399, s263)), introduced(assumption)).
% 15.28/11.01 tff(45534,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s263) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s263)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s263)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45535,plain,
% 15.28/11.01 (((~trans(s399, s263)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s263)) <=> (until2p7(s263) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s263)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45536,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s263)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s263) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s263))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45535])).
% 15.28/11.01 tff(45537,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s263)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s263)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45536, 45534])).
% 15.28/11.01 tff(45538,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s263)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s263))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45539,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s263))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45538, 45537])).
% 15.28/11.01 tff(45540,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45539, 37542, 45533, 38491, 45532, 40730])).
% 15.28/11.01 tff(45541,plain,((~trans(s399, s263)) | until2p7(s263) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45542,plain,
% 15.28/11.01 (~trans(s399, s263)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45541, 39023, 37532])).
% 15.28/11.01 tff(45543,assumption,(~until2p7(s275)), introduced(assumption)).
% 15.28/11.01 tff(45544,assumption,(trans(s399, s275)), introduced(assumption)).
% 15.28/11.01 tff(45545,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s275) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s275)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s275)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45546,plain,
% 15.28/11.01 (((~trans(s399, s275)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s275)) <=> (until2p7(s275) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s275)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45547,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s275)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s275) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s275))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45546])).
% 15.28/11.01 tff(45548,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s275)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s275)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45547, 45545])).
% 15.28/11.01 tff(45549,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s275)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s275))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45550,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s275))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45549, 45548])).
% 15.28/11.01 tff(45551,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45550, 37542, 45544, 38491, 45543, 40730])).
% 15.28/11.01 tff(45552,plain,((~trans(s399, s275)) | until2p7(s275) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45553,plain,
% 15.28/11.01 (~trans(s399, s275)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45552, 38879, 37532])).
% 15.28/11.01 tff(45554,assumption,(~until2p7(s360)), introduced(assumption)).
% 15.28/11.01 tff(45555,assumption,(trans(s399, s360)), introduced(assumption)).
% 15.28/11.01 tff(45556,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s360) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s360)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s360) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s360)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45557,plain,
% 15.28/11.01 (((~trans(s399, s360)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s360)) <=> (until2p7(s360) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s360)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45558,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s360)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s360) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s360))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45557])).
% 15.28/11.01 tff(45559,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s360)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s360) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s360)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45558, 45556])).
% 15.28/11.01 tff(45560,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s360)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s360))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45561,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s360) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s360))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45560, 45559])).
% 15.28/11.01 tff(45562,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45561, 37542, 45555, 38491, 45554, 40730])).
% 15.28/11.01 tff(45563,plain,((~trans(s399, s360)) | until2p7(s360) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45564,plain,
% 15.28/11.01 (~trans(s399, s360)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45563, 37961, 37532])).
% 15.28/11.01 tff(45565,assumption,(~until2p7(s256)), introduced(assumption)).
% 15.28/11.01 tff(45566,assumption,(trans(s399, s256)), introduced(assumption)).
% 15.28/11.01 tff(45567,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s256) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s256)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s256)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45568,plain,
% 15.28/11.01 (((~trans(s399, s256)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s256)) <=> (until2p7(s256) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s256)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45569,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s256)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s256) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s256))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45568])).
% 15.28/11.01 tff(45570,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s256)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s256)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45569, 45567])).
% 15.28/11.01 tff(45571,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s256)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s256))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45572,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s256))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45571, 45570])).
% 15.28/11.01 tff(45573,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45572, 37542, 45566, 38491, 45565, 40730])).
% 15.28/11.01 tff(45574,plain,((~trans(s399, s256)) | until2p7(s256) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45575,plain,
% 15.28/11.01 (~trans(s399, s256)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45574, 39107, 37532])).
% 15.28/11.01 tff(45576,assumption,(~until2p7(s122)), introduced(assumption)).
% 15.28/11.01 tff(45577,assumption,(trans(s399, s122)), introduced(assumption)).
% 15.28/11.01 tff(45578,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s122) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s122)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45579,plain,
% 15.28/11.01 (((~trans(s399, s122)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s122)) <=> (until2p7(s122) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s122)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45580,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s122)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s122) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s122))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45579])).
% 15.28/11.01 tff(45581,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s122)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s122)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45580, 45578])).
% 15.28/11.01 tff(45582,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s122)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s122))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45583,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s122))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45582, 45581])).
% 15.28/11.01 tff(45584,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45583, 37542, 45577, 38491, 45576, 40730])).
% 15.28/11.01 tff(45585,plain,((~trans(s399, s122)) | until2p7(s122) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45586,plain,
% 15.28/11.01 (~trans(s399, s122)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45585, 40692, 37532])).
% 15.28/11.01 tff(45587,assumption,(~until2p7(s225)), introduced(assumption)).
% 15.28/11.01 tff(45588,assumption,(trans(s399, s225)), introduced(assumption)).
% 15.28/11.01 tff(45589,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s225) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s225)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s225)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45590,plain,
% 15.28/11.01 (((~trans(s399, s225)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s225)) <=> (until2p7(s225) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s225)))),
% 15.28/11.01 inference(rewrite,[status(thm)],[])).
% 15.28/11.01 tff(45591,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s225)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s225) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s225))))),
% 15.28/11.01 inference(monotonicity,[status(thm)],[45590])).
% 15.28/11.01 tff(45592,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s225)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s225)))),
% 15.28/11.01 inference(transitivity,[status(thm)],[45591, 45589])).
% 15.28/11.01 tff(45593,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s225)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s225))),
% 15.28/11.01 inference(quant_inst,[status(thm)],[])).
% 15.28/11.01 tff(45594,plain,
% 15.28/11.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s225))),
% 15.28/11.01 inference(modus_ponens,[status(thm)],[45593, 45592])).
% 15.28/11.01 tff(45595,plain,
% 15.28/11.01 ($false),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45594, 37542, 45588, 38491, 45587, 40730])).
% 15.28/11.01 tff(45596,plain,((~trans(s399, s225)) | until2p7(s225) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.01 tff(45597,plain,
% 15.28/11.01 (~trans(s399, s225)),
% 15.28/11.01 inference(unit_resolution,[status(thm)],[45596, 39479, 37532])).
% 15.28/11.01 tff(45598,assumption,(~until2p7(s126)), introduced(assumption)).
% 15.28/11.01 tff(45599,assumption,(trans(s399, s126)), introduced(assumption)).
% 15.28/11.01 tff(45600,plain,
% 15.28/11.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s126) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s126)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45601,plain,
% 15.28/11.02 (((~trans(s399, s126)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s126)) <=> (until2p7(s126) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s126)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45602,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s126)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s126) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s126))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45601])).
% 15.28/11.02 tff(45603,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s126)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s126)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45602, 45600])).
% 15.28/11.02 tff(45604,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s126)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s126))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45605,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s126))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45604, 45603])).
% 15.28/11.02 tff(45606,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45605, 37542, 45599, 38491, 45598, 40730])).
% 15.28/11.02 tff(45607,plain,((~trans(s399, s126)) | until2p7(s126) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45608,plain,
% 15.28/11.02 (~trans(s399, s126)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45607, 40647, 37532])).
% 15.28/11.02 tff(45609,assumption,(~until2p7(s191)), introduced(assumption)).
% 15.28/11.02 tff(45610,assumption,(trans(s399, s191)), introduced(assumption)).
% 15.28/11.02 tff(45611,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s191) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s191)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45612,plain,
% 15.28/11.02 (((~trans(s399, s191)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s191)) <=> (until2p7(s191) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s191)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45613,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s191)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s191) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s191))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45612])).
% 15.28/11.02 tff(45614,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s191)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s191)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45613, 45611])).
% 15.28/11.02 tff(45615,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s191)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s191))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45616,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s191))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45615, 45614])).
% 15.28/11.02 tff(45617,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45616, 37542, 45610, 38491, 45609, 40730])).
% 15.28/11.02 tff(45618,plain,((~trans(s399, s191)) | until2p7(s191) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45619,plain,
% 15.28/11.02 (~trans(s399, s191)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45618, 39882, 37532])).
% 15.28/11.02 tff(45620,assumption,(~until2p7(s322)), introduced(assumption)).
% 15.28/11.02 tff(45621,assumption,(trans(s399, s322)), introduced(assumption)).
% 15.28/11.02 tff(45622,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s322) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s322)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s322) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s322)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45623,plain,
% 15.28/11.02 (((~trans(s399, s322)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s322)) <=> (until2p7(s322) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s322)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45624,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s322)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s322) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s322))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45623])).
% 15.28/11.02 tff(45625,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s322)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s322) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s322)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45624, 45622])).
% 15.28/11.02 tff(45626,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s322)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s322))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45627,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s322) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s322))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45626, 45625])).
% 15.28/11.02 tff(45628,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45627, 37542, 45621, 38491, 45620, 40730])).
% 15.28/11.02 tff(45629,plain,((~trans(s399, s322)) | until2p7(s322) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45630,plain,
% 15.28/11.02 (~trans(s399, s322)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45629, 38341, 37532])).
% 15.28/11.02 tff(45631,assumption,(~until2p7(s349)), introduced(assumption)).
% 15.28/11.02 tff(45632,assumption,(trans(s399, s349)), introduced(assumption)).
% 15.28/11.02 tff(45633,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s349) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s349)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s349) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s349)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45634,plain,
% 15.28/11.02 (((~trans(s399, s349)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s349)) <=> (until2p7(s349) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s349)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45635,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s349)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s349) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s349))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45634])).
% 15.28/11.02 tff(45636,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s349)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s349) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s349)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45635, 45633])).
% 15.28/11.02 tff(45637,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s349)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s349))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45638,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s349) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s349))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45637, 45636])).
% 15.28/11.02 tff(45639,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45638, 37542, 45632, 38491, 45631, 40730])).
% 15.28/11.02 tff(45640,plain,((~trans(s399, s349)) | until2p7(s349) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45641,plain,
% 15.28/11.02 (~trans(s399, s349)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45640, 38071, 37532])).
% 15.28/11.02 tff(45642,assumption,(~until2p7(s267)), introduced(assumption)).
% 15.28/11.02 tff(45643,assumption,(trans(s399, s267)), introduced(assumption)).
% 15.28/11.02 tff(45644,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s267) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s267)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s267)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45645,plain,
% 15.28/11.02 (((~trans(s399, s267)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s267)) <=> (until2p7(s267) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s267)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45646,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s267)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s267) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s267))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45645])).
% 15.28/11.02 tff(45647,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s267)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s267)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45646, 45644])).
% 15.28/11.02 tff(45648,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s267)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s267))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45649,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s267))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45648, 45647])).
% 15.28/11.02 tff(45650,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45649, 37542, 45643, 38491, 45642, 40730])).
% 15.28/11.02 tff(45651,plain,((~trans(s399, s267)) | until2p7(s267) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45652,plain,
% 15.28/11.02 (~trans(s399, s267)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45651, 38975, 37532])).
% 15.28/11.02 tff(45653,assumption,(~until2p7(s394)), introduced(assumption)).
% 15.28/11.02 tff(45654,assumption,(trans(s399, s394)), introduced(assumption)).
% 15.28/11.02 tff(45655,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s394) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s394)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s394) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s394)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45656,plain,
% 15.28/11.02 (((~trans(s399, s394)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s394)) <=> (until2p7(s394) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s394)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45657,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s394)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s394) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s394))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45656])).
% 15.28/11.02 tff(45658,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s394)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s394) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s394)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45657, 45655])).
% 15.28/11.02 tff(45659,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s394)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s394))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45660,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s394) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s394))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45659, 45658])).
% 15.28/11.02 tff(45661,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45660, 37542, 45654, 38491, 45653, 40730])).
% 15.28/11.02 tff(45662,plain,((~trans(s399, s394)) | until2p7(s394) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45663,plain,
% 15.28/11.02 (~trans(s399, s394)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45662, 37621, 37532])).
% 15.28/11.02 tff(45664,assumption,(~until2p7(s73)), introduced(assumption)).
% 15.28/11.02 tff(45665,assumption,(trans(s399, s73)), introduced(assumption)).
% 15.28/11.02 tff(45666,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s73)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45667,plain,
% 15.28/11.02 (((~trans(s399, s73)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s73)) <=> (until2p7(s73) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s73)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45668,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s73)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s73))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45667])).
% 15.28/11.02 tff(45669,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s73)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s73)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45668, 45666])).
% 15.28/11.02 tff(45670,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s73)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s73))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45671,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s73))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45670, 45669])).
% 15.28/11.02 tff(45672,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45671, 37542, 45665, 38491, 45664, 40730])).
% 15.28/11.02 tff(45673,plain,((~trans(s399, s73)) | until2p7(s73) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45674,plain,
% 15.28/11.02 (~trans(s399, s73)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45673, 41340, 37532])).
% 15.28/11.02 tff(45675,assumption,(~until2p7(s338)), introduced(assumption)).
% 15.28/11.02 tff(45676,assumption,(trans(s399, s338)), introduced(assumption)).
% 15.28/11.02 tff(45677,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s338) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s338)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s338) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s338)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45678,plain,
% 15.28/11.02 (((~trans(s399, s338)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s338)) <=> (until2p7(s338) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s338)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45679,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s338)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s338) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s338))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45678])).
% 15.28/11.02 tff(45680,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s338)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s338) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s338)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45679, 45677])).
% 15.28/11.02 tff(45681,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s338)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s338))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45682,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s338) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s338))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45681, 45680])).
% 15.28/11.02 tff(45683,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45682, 37542, 45676, 38491, 45675, 40730])).
% 15.28/11.02 tff(45684,plain,((~trans(s399, s338)) | until2p7(s338) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45685,plain,
% 15.28/11.02 (~trans(s399, s338)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45684, 38181, 37532])).
% 15.28/11.02 tff(45686,assumption,(~until2p7(s318)), introduced(assumption)).
% 15.28/11.02 tff(45687,assumption,(trans(s399, s318)), introduced(assumption)).
% 15.28/11.02 tff(45688,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s318) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s318)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s318) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s318)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45689,plain,
% 15.28/11.02 (((~trans(s399, s318)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s318)) <=> (until2p7(s318) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s318)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45690,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s318)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s318) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s318))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45689])).
% 15.28/11.02 tff(45691,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s318)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s318) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s318)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45690, 45688])).
% 15.28/11.02 tff(45692,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s318)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s318))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45693,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s318) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s318))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45692, 45691])).
% 15.28/11.02 tff(45694,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45693, 37542, 45687, 38491, 45686, 40730])).
% 15.28/11.02 tff(45695,plain,((~trans(s399, s318)) | until2p7(s318) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45696,plain,
% 15.28/11.02 (~trans(s399, s318)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45695, 38381, 37532])).
% 15.28/11.02 tff(45697,assumption,(~until2p7(s107)), introduced(assumption)).
% 15.28/11.02 tff(45698,assumption,(trans(s399, s107)), introduced(assumption)).
% 15.28/11.02 tff(45699,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s107) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s107)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45700,plain,
% 15.28/11.02 (((~trans(s399, s107)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s107)) <=> (until2p7(s107) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s107)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45701,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s107)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s107) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s107))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45700])).
% 15.28/11.02 tff(45702,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s107)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s107)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45701, 45699])).
% 15.28/11.02 tff(45703,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s107)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s107))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45704,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s107))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45703, 45702])).
% 15.28/11.02 tff(45705,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45704, 37542, 45698, 38491, 45697, 40730])).
% 15.28/11.02 tff(45706,plain,((~trans(s399, s107)) | until2p7(s107) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45707,plain,
% 15.28/11.02 (~trans(s399, s107)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45706, 40928, 37532])).
% 15.28/11.02 tff(45708,assumption,(~until2p7(s222)), introduced(assumption)).
% 15.28/11.02 tff(45709,assumption,(trans(s399, s222)), introduced(assumption)).
% 15.28/11.02 tff(45710,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s222) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s222)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s222)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45711,plain,
% 15.28/11.02 (((~trans(s399, s222)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s222)) <=> (until2p7(s222) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s222)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45712,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s222)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s222) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s222))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45711])).
% 15.28/11.02 tff(45713,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s222)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s222)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45712, 45710])).
% 15.28/11.02 tff(45714,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s222)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s222))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45715,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s222))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45714, 45713])).
% 15.28/11.02 tff(45716,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45715, 37542, 45709, 38491, 45708, 40730])).
% 15.28/11.02 tff(45717,plain,((~trans(s399, s222)) | until2p7(s222) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45718,plain,
% 15.28/11.02 (~trans(s399, s222)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45717, 39515, 37532])).
% 15.28/11.02 tff(45719,assumption,(~until2p7(s183)), introduced(assumption)).
% 15.28/11.02 tff(45720,assumption,(trans(s399, s183)), introduced(assumption)).
% 15.28/11.02 tff(45721,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s183) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s183)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45722,plain,
% 15.28/11.02 (((~trans(s399, s183)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s183)) <=> (until2p7(s183) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s183)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45723,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s183)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s183) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s183))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45722])).
% 15.28/11.02 tff(45724,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s183)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s183)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45723, 45721])).
% 15.28/11.02 tff(45725,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s183)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s183))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45726,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s183))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45725, 45724])).
% 15.28/11.02 tff(45727,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45726, 37542, 45720, 38491, 45719, 40730])).
% 15.28/11.02 tff(45728,plain,((~trans(s399, s183)) | until2p7(s183) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45729,plain,
% 15.28/11.02 (~trans(s399, s183)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45728, 39976, 37532])).
% 15.28/11.02 tff(45730,assumption,(~until2p7(s339)), introduced(assumption)).
% 15.28/11.02 tff(45731,assumption,(trans(s399, s339)), introduced(assumption)).
% 15.28/11.02 tff(45732,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s339) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s339)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s339) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s339)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45733,plain,
% 15.28/11.02 (((~trans(s399, s339)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s339)) <=> (until2p7(s339) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s339)))),
% 15.28/11.02 inference(rewrite,[status(thm)],[])).
% 15.28/11.02 tff(45734,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s339)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s339) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s339))))),
% 15.28/11.02 inference(monotonicity,[status(thm)],[45733])).
% 15.28/11.02 tff(45735,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s339)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s339) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s339)))),
% 15.28/11.02 inference(transitivity,[status(thm)],[45734, 45732])).
% 15.28/11.02 tff(45736,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s339)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s339))),
% 15.28/11.02 inference(quant_inst,[status(thm)],[])).
% 15.28/11.02 tff(45737,plain,
% 15.28/11.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s339) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s339))),
% 15.28/11.02 inference(modus_ponens,[status(thm)],[45736, 45735])).
% 15.28/11.02 tff(45738,plain,
% 15.28/11.02 ($false),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45737, 37542, 45731, 38491, 45730, 40730])).
% 15.28/11.02 tff(45739,plain,((~trans(s399, s339)) | until2p7(s339) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.02 tff(45740,plain,
% 15.28/11.02 (~trans(s399, s339)),
% 15.28/11.02 inference(unit_resolution,[status(thm)],[45739, 38171, 37532])).
% 15.28/11.02 tff(45741,assumption,(~until2p7(s347)), introduced(assumption)).
% 15.28/11.02 tff(45742,assumption,(trans(s399, s347)), introduced(assumption)).
% 15.28/11.02 tff(45743,plain,
% 15.28/11.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s347) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s347)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s347) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s347)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45744,plain,
% 15.28/11.03 (((~trans(s399, s347)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s347)) <=> (until2p7(s347) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s347)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45745,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s347)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s347) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s347))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45744])).
% 15.28/11.03 tff(45746,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s347)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s347) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s347)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45745, 45743])).
% 15.28/11.03 tff(45747,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s347)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s347))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45748,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s347) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s347))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45747, 45746])).
% 15.28/11.03 tff(45749,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45748, 37542, 45742, 38491, 45741, 40730])).
% 15.28/11.03 tff(45750,plain,((~trans(s399, s347)) | until2p7(s347) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45751,plain,
% 15.28/11.03 (~trans(s399, s347)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45750, 38091, 37532])).
% 15.28/11.03 tff(45752,assumption,(~until2p7(s108)), introduced(assumption)).
% 15.28/11.03 tff(45753,assumption,(trans(s399, s108)), introduced(assumption)).
% 15.28/11.03 tff(45754,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s108) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s108)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45755,plain,
% 15.28/11.03 (((~trans(s399, s108)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s108)) <=> (until2p7(s108) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s108)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45756,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s108)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s108) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s108))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45755])).
% 15.28/11.03 tff(45757,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s108)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s108)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45756, 45754])).
% 15.28/11.03 tff(45758,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s108)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s108))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45759,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s108))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45758, 45757])).
% 15.28/11.03 tff(45760,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45759, 37542, 45753, 38491, 45752, 40730])).
% 15.28/11.03 tff(45761,plain,((~trans(s399, s108)) | until2p7(s108) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45762,plain,
% 15.28/11.03 (~trans(s399, s108)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45761, 40916, 37532])).
% 15.28/11.03 tff(45763,assumption,(~until2p7(s390)), introduced(assumption)).
% 15.28/11.03 tff(45764,assumption,(trans(s399, s390)), introduced(assumption)).
% 15.28/11.03 tff(45765,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s390) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s390)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s390) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s390)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45766,plain,
% 15.28/11.03 (((~trans(s399, s390)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s390)) <=> (until2p7(s390) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s390)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45767,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s390)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s390) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s390))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45766])).
% 15.28/11.03 tff(45768,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s390)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s390) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s390)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45767, 45765])).
% 15.28/11.03 tff(45769,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s390)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s390))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45770,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s390) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s390))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45769, 45768])).
% 15.28/11.03 tff(45771,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45770, 37542, 45764, 38491, 45763, 40730])).
% 15.28/11.03 tff(45772,plain,((~trans(s399, s390)) | until2p7(s390) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45773,plain,
% 15.28/11.03 (~trans(s399, s390)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45772, 37661, 37532])).
% 15.28/11.03 tff(45774,assumption,(~until2p7(s164)), introduced(assumption)).
% 15.28/11.03 tff(45775,assumption,(trans(s399, s164)), introduced(assumption)).
% 15.28/11.03 tff(45776,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s164) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s164)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45777,plain,
% 15.28/11.03 (((~trans(s399, s164)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s164)) <=> (until2p7(s164) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s164)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45778,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s164)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s164) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s164))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45777])).
% 15.28/11.03 tff(45779,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s164)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s164)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45778, 45776])).
% 15.28/11.03 tff(45780,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s164)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s164))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45781,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s164))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45780, 45779])).
% 15.28/11.03 tff(45782,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45781, 37542, 45775, 38491, 45774, 40730])).
% 15.28/11.03 tff(45783,plain,((~trans(s399, s164)) | until2p7(s164) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45784,plain,
% 15.28/11.03 (~trans(s399, s164)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45783, 40199, 37532])).
% 15.28/11.03 tff(45785,assumption,(~until2p7(s125)), introduced(assumption)).
% 15.28/11.03 tff(45786,assumption,(trans(s399, s125)), introduced(assumption)).
% 15.28/11.03 tff(45787,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s125) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s125)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45788,plain,
% 15.28/11.03 (((~trans(s399, s125)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s125)) <=> (until2p7(s125) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s125)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45789,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s125)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s125) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s125))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45788])).
% 15.28/11.03 tff(45790,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s125)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s125)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45789, 45787])).
% 15.28/11.03 tff(45791,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s125)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s125))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45792,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s125))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45791, 45790])).
% 15.28/11.03 tff(45793,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45792, 37542, 45786, 38491, 45785, 40730])).
% 15.28/11.03 tff(45794,plain,((~trans(s399, s125)) | until2p7(s125) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45795,plain,
% 15.28/11.03 (~trans(s399, s125)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45794, 40657, 37532])).
% 15.28/11.03 tff(45796,assumption,(~until2p7(s399)), introduced(assumption)).
% 15.28/11.03 tff(45797,assumption,(trans(s399, s399)), introduced(assumption)).
% 15.28/11.03 tff(45798,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s399) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s399)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s399) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s399)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45799,plain,
% 15.28/11.03 (((~trans(s399, s399)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s399)) <=> (until2p7(s399) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s399)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45800,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s399)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s399) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s399))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45799])).
% 15.28/11.03 tff(45801,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s399)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s399) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s399)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45800, 45798])).
% 15.28/11.03 tff(45802,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s399)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s399))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45803,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s399) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s399))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45802, 45801])).
% 15.28/11.03 tff(45804,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45803, 37542, 45797, 38491, 45796, 40730])).
% 15.28/11.03 tff(45805,plain,((~trans(s399, s399)) | until2p7(s399) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45806,plain,
% 15.28/11.03 (~trans(s399, s399)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45805, 37561, 37532])).
% 15.28/11.03 tff(45807,assumption,(~until2p7(s278)), introduced(assumption)).
% 15.28/11.03 tff(45808,assumption,(trans(s399, s278)), introduced(assumption)).
% 15.28/11.03 tff(45809,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s278) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s278)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s278)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45810,plain,
% 15.28/11.03 (((~trans(s399, s278)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s278)) <=> (until2p7(s278) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s278)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45811,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s278)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s278) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s278))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45810])).
% 15.28/11.03 tff(45812,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s278)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s278)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45811, 45809])).
% 15.28/11.03 tff(45813,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s278)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s278))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45814,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s278))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45813, 45812])).
% 15.28/11.03 tff(45815,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45814, 37542, 45808, 38491, 45807, 40730])).
% 15.28/11.03 tff(45816,plain,((~trans(s399, s278)) | until2p7(s278) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45817,plain,
% 15.28/11.03 (~trans(s399, s278)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45816, 38843, 37532])).
% 15.28/11.03 tff(45818,assumption,(~until2p7(s377)), introduced(assumption)).
% 15.28/11.03 tff(45819,assumption,(trans(s399, s377)), introduced(assumption)).
% 15.28/11.03 tff(45820,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s377) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s377)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s377) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s377)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45821,plain,
% 15.28/11.03 (((~trans(s399, s377)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s377)) <=> (until2p7(s377) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s377)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45822,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s377)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s377) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s377))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45821])).
% 15.28/11.03 tff(45823,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s377)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s377) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s377)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45822, 45820])).
% 15.28/11.03 tff(45824,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s377)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s377))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45825,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s377) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s377))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45824, 45823])).
% 15.28/11.03 tff(45826,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45825, 37542, 45819, 38491, 45818, 40730])).
% 15.28/11.03 tff(45827,plain,((~trans(s399, s377)) | until2p7(s377) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45828,plain,
% 15.28/11.03 (~trans(s399, s377)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45827, 37791, 37532])).
% 15.28/11.03 tff(45829,assumption,(~until2p7(s118)), introduced(assumption)).
% 15.28/11.03 tff(45830,assumption,(trans(s399, s118)), introduced(assumption)).
% 15.28/11.03 tff(45831,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s118) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s118)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45832,plain,
% 15.28/11.03 (((~trans(s399, s118)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s118)) <=> (until2p7(s118) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s118)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45833,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s118)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s118) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s118))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45832])).
% 15.28/11.03 tff(45834,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s118)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s118)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45833, 45831])).
% 15.28/11.03 tff(45835,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s118)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s118))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45836,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s118))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45835, 45834])).
% 15.28/11.03 tff(45837,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45836, 37542, 45830, 38491, 45829, 40730])).
% 15.28/11.03 tff(45838,plain,((~trans(s399, s118)) | until2p7(s118) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45839,plain,
% 15.28/11.03 (~trans(s399, s118)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45838, 40797, 37532])).
% 15.28/11.03 tff(45840,assumption,(~until2p7(s350)), introduced(assumption)).
% 15.28/11.03 tff(45841,assumption,(trans(s399, s350)), introduced(assumption)).
% 15.28/11.03 tff(45842,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s350) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s350)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s350) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s350)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45843,plain,
% 15.28/11.03 (((~trans(s399, s350)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s350)) <=> (until2p7(s350) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s350)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45844,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s350)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s350) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s350))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45843])).
% 15.28/11.03 tff(45845,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s350)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s350) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s350)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45844, 45842])).
% 15.28/11.03 tff(45846,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s350)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s350))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45847,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s350) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s350))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45846, 45845])).
% 15.28/11.03 tff(45848,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45847, 37542, 45841, 38491, 45840, 40730])).
% 15.28/11.03 tff(45849,plain,((~trans(s399, s350)) | until2p7(s350) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45850,plain,
% 15.28/11.03 (~trans(s399, s350)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45849, 38061, 37532])).
% 15.28/11.03 tff(45851,assumption,(~until2p7(s362)), introduced(assumption)).
% 15.28/11.03 tff(45852,assumption,(trans(s399, s362)), introduced(assumption)).
% 15.28/11.03 tff(45853,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s362) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s362)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s362) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s362)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45854,plain,
% 15.28/11.03 (((~trans(s399, s362)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s362)) <=> (until2p7(s362) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s362)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45855,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s362)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s362) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s362))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45854])).
% 15.28/11.03 tff(45856,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s362)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s362) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s362)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45855, 45853])).
% 15.28/11.03 tff(45857,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s362)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s362))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45858,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s362) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s362))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45857, 45856])).
% 15.28/11.03 tff(45859,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45858, 37542, 45852, 38491, 45851, 40730])).
% 15.28/11.03 tff(45860,plain,((~trans(s399, s362)) | until2p7(s362) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45861,plain,
% 15.28/11.03 (~trans(s399, s362)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45860, 37941, 37532])).
% 15.28/11.03 tff(45862,assumption,(~until2p7(s200)), introduced(assumption)).
% 15.28/11.03 tff(45863,assumption,(trans(s399, s200)), introduced(assumption)).
% 15.28/11.03 tff(45864,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s200) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s200)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s200)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45865,plain,
% 15.28/11.03 (((~trans(s399, s200)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s200)) <=> (until2p7(s200) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s200)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45866,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s200)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s200) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s200))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45865])).
% 15.28/11.03 tff(45867,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s200)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s200)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45866, 45864])).
% 15.28/11.03 tff(45868,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s200)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s200))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45869,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s200))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45868, 45867])).
% 15.28/11.03 tff(45870,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45869, 37542, 45863, 38491, 45862, 40730])).
% 15.28/11.03 tff(45871,plain,((~trans(s399, s200)) | until2p7(s200) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45872,plain,
% 15.28/11.03 (~trans(s399, s200)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45871, 39776, 37532])).
% 15.28/11.03 tff(45873,assumption,(~until2p7(s116)), introduced(assumption)).
% 15.28/11.03 tff(45874,assumption,(trans(s399, s116)), introduced(assumption)).
% 15.28/11.03 tff(45875,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s116) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s116)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45876,plain,
% 15.28/11.03 (((~trans(s399, s116)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s116)) <=> (until2p7(s116) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s116)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45877,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s116)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s116) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s116))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45876])).
% 15.28/11.03 tff(45878,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s116)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s116)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45877, 45875])).
% 15.28/11.03 tff(45879,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s116)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s116))),
% 15.28/11.03 inference(quant_inst,[status(thm)],[])).
% 15.28/11.03 tff(45880,plain,
% 15.28/11.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s116))),
% 15.28/11.03 inference(modus_ponens,[status(thm)],[45879, 45878])).
% 15.28/11.03 tff(45881,plain,
% 15.28/11.03 ($false),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45880, 37542, 45874, 38491, 45873, 40730])).
% 15.28/11.03 tff(45882,plain,((~trans(s399, s116)) | until2p7(s116) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.03 tff(45883,plain,
% 15.28/11.03 (~trans(s399, s116)),
% 15.28/11.03 inference(unit_resolution,[status(thm)],[45882, 40821, 37532])).
% 15.28/11.03 tff(45884,assumption,(~until2p7(s112)), introduced(assumption)).
% 15.28/11.03 tff(45885,assumption,(trans(s399, s112)), introduced(assumption)).
% 15.28/11.03 tff(45886,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s112) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s112)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45887,plain,
% 15.28/11.03 (((~trans(s399, s112)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s112)) <=> (until2p7(s112) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s112)))),
% 15.28/11.03 inference(rewrite,[status(thm)],[])).
% 15.28/11.03 tff(45888,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s112)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s112) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s112))))),
% 15.28/11.03 inference(monotonicity,[status(thm)],[45887])).
% 15.28/11.03 tff(45889,plain,
% 15.28/11.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s112)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s112)))),
% 15.28/11.03 inference(transitivity,[status(thm)],[45888, 45886])).
% 15.28/11.03 tff(45890,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s112)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s112))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45891,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s112))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45890, 45889])).
% 15.28/11.04 tff(45892,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45891, 37542, 45885, 38491, 45884, 40730])).
% 15.28/11.04 tff(45893,plain,((~trans(s399, s112)) | until2p7(s112) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45894,plain,
% 15.28/11.04 (~trans(s399, s112)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45893, 40869, 37532])).
% 15.28/11.04 tff(45895,assumption,(~until2p7(s383)), introduced(assumption)).
% 15.28/11.04 tff(45896,assumption,(trans(s399, s383)), introduced(assumption)).
% 15.28/11.04 tff(45897,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s383) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s383)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s383) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s383)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45898,plain,
% 15.28/11.04 (((~trans(s399, s383)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s383)) <=> (until2p7(s383) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s383)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45899,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s383)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s383) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s383))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45898])).
% 15.28/11.04 tff(45900,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s383)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s383) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s383)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45899, 45897])).
% 15.28/11.04 tff(45901,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s383)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s383))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45902,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s383) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s383))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45901, 45900])).
% 15.28/11.04 tff(45903,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45902, 37542, 45896, 38491, 45895, 40730])).
% 15.28/11.04 tff(45904,plain,((~trans(s399, s383)) | until2p7(s383) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45905,plain,
% 15.28/11.04 (~trans(s399, s383)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45904, 37731, 37532])).
% 15.28/11.04 tff(45906,assumption,(~until2p7(s372)), introduced(assumption)).
% 15.28/11.04 tff(45907,assumption,(trans(s399, s372)), introduced(assumption)).
% 15.28/11.04 tff(45908,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s372) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s372)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s372) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s372)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45909,plain,
% 15.28/11.04 (((~trans(s399, s372)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s372)) <=> (until2p7(s372) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s372)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45910,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s372)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s372) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s372))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45909])).
% 15.28/11.04 tff(45911,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s372)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s372) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s372)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45910, 45908])).
% 15.28/11.04 tff(45912,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s372)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s372))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45913,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s372) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s372))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45912, 45911])).
% 15.28/11.04 tff(45914,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45913, 37542, 45907, 38491, 45906, 40730])).
% 15.28/11.04 tff(45915,plain,((~trans(s399, s372)) | until2p7(s372) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45916,plain,
% 15.28/11.04 (~trans(s399, s372)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45915, 37841, 37532])).
% 15.28/11.04 tff(45917,assumption,(~until2p7(s313)), introduced(assumption)).
% 15.28/11.04 tff(45918,assumption,(trans(s399, s313)), introduced(assumption)).
% 15.28/11.04 tff(45919,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s313) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s313)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s313) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s313)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45920,plain,
% 15.28/11.04 (((~trans(s399, s313)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s313)) <=> (until2p7(s313) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s313)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45921,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s313)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s313) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s313))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45920])).
% 15.28/11.04 tff(45922,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s313)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s313) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s313)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45921, 45919])).
% 15.28/11.04 tff(45923,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s313)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s313))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45924,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s313) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s313))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45923, 45922])).
% 15.28/11.04 tff(45925,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45924, 37542, 45918, 38491, 45917, 40730])).
% 15.28/11.04 tff(45926,plain,((~trans(s399, s313)) | until2p7(s313) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45927,plain,
% 15.28/11.04 (~trans(s399, s313)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45926, 38431, 37532])).
% 15.28/11.04 tff(45928,assumption,(~until2p7(s385)), introduced(assumption)).
% 15.28/11.04 tff(45929,assumption,(trans(s399, s385)), introduced(assumption)).
% 15.28/11.04 tff(45930,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s385) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s385)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s385) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s385)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45931,plain,
% 15.28/11.04 (((~trans(s399, s385)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s385)) <=> (until2p7(s385) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s385)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45932,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s385)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s385) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s385))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45931])).
% 15.28/11.04 tff(45933,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s385)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s385) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s385)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45932, 45930])).
% 15.28/11.04 tff(45934,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s385)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s385))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45935,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s385) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s385))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45934, 45933])).
% 15.28/11.04 tff(45936,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45935, 37542, 45929, 38491, 45928, 40730])).
% 15.28/11.04 tff(45937,plain,((~trans(s399, s385)) | until2p7(s385) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45938,plain,
% 15.28/11.04 (~trans(s399, s385)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45937, 37711, 37532])).
% 15.28/11.04 tff(45939,assumption,(~until2p7(s375)), introduced(assumption)).
% 15.28/11.04 tff(45940,assumption,(trans(s399, s375)), introduced(assumption)).
% 15.28/11.04 tff(45941,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s375) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s375)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s375) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s375)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45942,plain,
% 15.28/11.04 (((~trans(s399, s375)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s375)) <=> (until2p7(s375) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s375)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45943,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s375)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s375) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s375))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45942])).
% 15.28/11.04 tff(45944,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s375)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s375) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s375)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45943, 45941])).
% 15.28/11.04 tff(45945,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s375)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s375))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45946,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s375) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s375))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45945, 45944])).
% 15.28/11.04 tff(45947,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45946, 37542, 45940, 38491, 45939, 40730])).
% 15.28/11.04 tff(45948,plain,((~trans(s399, s375)) | until2p7(s375) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45949,plain,
% 15.28/11.04 (~trans(s399, s375)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45948, 37811, 37532])).
% 15.28/11.04 tff(45950,assumption,(~until2p7(s40)), introduced(assumption)).
% 15.28/11.04 tff(45951,assumption,(trans(s399, s40)), introduced(assumption)).
% 15.28/11.04 tff(45952,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s40)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45953,plain,
% 15.28/11.04 (((~trans(s399, s40)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s40)) <=> (until2p7(s40) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s40)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45954,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s40)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s40))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45953])).
% 15.28/11.04 tff(45955,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s40)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s40)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45954, 45952])).
% 15.28/11.04 tff(45956,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s40)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s40))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45957,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s40))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45956, 45955])).
% 15.28/11.04 tff(45958,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45957, 37542, 45951, 38491, 45950, 40730])).
% 15.28/11.04 tff(45959,plain,((~trans(s399, s40)) | until2p7(s40) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45960,plain,
% 15.28/11.04 (~trans(s399, s40)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45959, 41734, 37532])).
% 15.28/11.04 tff(45961,assumption,(~until2p7(s382)), introduced(assumption)).
% 15.28/11.04 tff(45962,assumption,(trans(s399, s382)), introduced(assumption)).
% 15.28/11.04 tff(45963,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s382) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s382)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s382) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s382)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45964,plain,
% 15.28/11.04 (((~trans(s399, s382)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s382)) <=> (until2p7(s382) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s382)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45965,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s382)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s382) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s382))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45964])).
% 15.28/11.04 tff(45966,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s382)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s382) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s382)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45965, 45963])).
% 15.28/11.04 tff(45967,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s382)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s382))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45968,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s382) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s382))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45967, 45966])).
% 15.28/11.04 tff(45969,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45968, 37542, 45962, 38491, 45961, 40730])).
% 15.28/11.04 tff(45970,plain,((~trans(s399, s382)) | until2p7(s382) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45971,plain,
% 15.28/11.04 (~trans(s399, s382)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45970, 37741, 37532])).
% 15.28/11.04 tff(45972,assumption,(~until2p7(s248)), introduced(assumption)).
% 15.28/11.04 tff(45973,assumption,(trans(s399, s248)), introduced(assumption)).
% 15.28/11.04 tff(45974,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s248) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s248)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s248)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45975,plain,
% 15.28/11.04 (((~trans(s399, s248)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s248)) <=> (until2p7(s248) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s248)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45976,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s248)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s248) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s248))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45975])).
% 15.28/11.04 tff(45977,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s248)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s248)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45976, 45974])).
% 15.28/11.04 tff(45978,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s248)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s248))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45979,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s248))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45978, 45977])).
% 15.28/11.04 tff(45980,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45979, 37542, 45973, 38491, 45972, 40730])).
% 15.28/11.04 tff(45981,plain,((~trans(s399, s248)) | until2p7(s248) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45982,plain,
% 15.28/11.04 (~trans(s399, s248)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45981, 39203, 37532])).
% 15.28/11.04 tff(45983,assumption,(~until2p7(s344)), introduced(assumption)).
% 15.28/11.04 tff(45984,assumption,(trans(s399, s344)), introduced(assumption)).
% 15.28/11.04 tff(45985,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s344) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s344)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s344) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s344)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45986,plain,
% 15.28/11.04 (((~trans(s399, s344)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s344)) <=> (until2p7(s344) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s344)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45987,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s344)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s344) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s344))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45986])).
% 15.28/11.04 tff(45988,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s344)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s344) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s344)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45987, 45985])).
% 15.28/11.04 tff(45989,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s344)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s344))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(45990,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s344) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s344))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[45989, 45988])).
% 15.28/11.04 tff(45991,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45990, 37542, 45984, 38491, 45983, 40730])).
% 15.28/11.04 tff(45992,plain,((~trans(s399, s344)) | until2p7(s344) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(45993,plain,
% 15.28/11.04 (~trans(s399, s344)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[45992, 38121, 37532])).
% 15.28/11.04 tff(45994,assumption,(~until2p7(s380)), introduced(assumption)).
% 15.28/11.04 tff(45995,assumption,(trans(s399, s380)), introduced(assumption)).
% 15.28/11.04 tff(45996,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s380) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s380)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s380) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s380)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45997,plain,
% 15.28/11.04 (((~trans(s399, s380)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s380)) <=> (until2p7(s380) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s380)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(45998,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s380)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s380) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s380))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[45997])).
% 15.28/11.04 tff(45999,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s380)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s380) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s380)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[45998, 45996])).
% 15.28/11.04 tff(46000,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s380)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s380))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(46001,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s380) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s380))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[46000, 45999])).
% 15.28/11.04 tff(46002,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[46001, 37542, 45995, 38491, 45994, 40730])).
% 15.28/11.04 tff(46003,plain,((~trans(s399, s380)) | until2p7(s380) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(46004,plain,
% 15.28/11.04 (~trans(s399, s380)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[46003, 37761, 37532])).
% 15.28/11.04 tff(46005,assumption,(~until2p7(s357)), introduced(assumption)).
% 15.28/11.04 tff(46006,assumption,(trans(s399, s357)), introduced(assumption)).
% 15.28/11.04 tff(46007,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s357) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s357)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s357) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s357)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(46008,plain,
% 15.28/11.04 (((~trans(s399, s357)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s357)) <=> (until2p7(s357) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s357)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(46009,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s357)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s357) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s357))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[46008])).
% 15.28/11.04 tff(46010,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s357)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s357) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s357)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[46009, 46007])).
% 15.28/11.04 tff(46011,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s357)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s357))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(46012,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s357) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s357))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[46011, 46010])).
% 15.28/11.04 tff(46013,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[46012, 37542, 46006, 38491, 46005, 40730])).
% 15.28/11.04 tff(46014,plain,((~trans(s399, s357)) | until2p7(s357) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(46015,plain,
% 15.28/11.04 (~trans(s399, s357)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[46014, 37991, 37532])).
% 15.28/11.04 tff(46016,assumption,(~until2p7(s75)), introduced(assumption)).
% 15.28/11.04 tff(46017,assumption,(trans(s399, s75)), introduced(assumption)).
% 15.28/11.04 tff(46018,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s75)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(46019,plain,
% 15.28/11.04 (((~trans(s399, s75)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s75)) <=> (until2p7(s75) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s75)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(46020,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s75)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s75))))),
% 15.28/11.04 inference(monotonicity,[status(thm)],[46019])).
% 15.28/11.04 tff(46021,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s75)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s75)))),
% 15.28/11.04 inference(transitivity,[status(thm)],[46020, 46018])).
% 15.28/11.04 tff(46022,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s75)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s75))),
% 15.28/11.04 inference(quant_inst,[status(thm)],[])).
% 15.28/11.04 tff(46023,plain,
% 15.28/11.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s75))),
% 15.28/11.04 inference(modus_ponens,[status(thm)],[46022, 46021])).
% 15.28/11.04 tff(46024,plain,
% 15.28/11.04 ($false),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[46023, 37542, 46017, 38491, 46016, 40730])).
% 15.28/11.04 tff(46025,plain,((~trans(s399, s75)) | until2p7(s75) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.04 tff(46026,plain,
% 15.28/11.04 (~trans(s399, s75)),
% 15.28/11.04 inference(unit_resolution,[status(thm)],[46025, 41316, 37532])).
% 15.28/11.04 tff(46027,assumption,(~until2p7(s4)), introduced(assumption)).
% 15.28/11.04 tff(46028,assumption,(trans(s399, s4)), introduced(assumption)).
% 15.28/11.04 tff(46029,plain,
% 15.28/11.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s4)))),
% 15.28/11.04 inference(rewrite,[status(thm)],[])).
% 15.28/11.04 tff(46030,plain,
% 15.28/11.04 (((~trans(s399, s4)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s4)) <=> (until2p7(s4) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s4)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46031,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s4)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s4))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46030])).
% 15.28/11.05 tff(46032,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s4)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s4)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46031, 46029])).
% 15.28/11.05 tff(46033,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s4)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s4))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46034,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s4))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46033, 46032])).
% 15.28/11.05 tff(46035,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46034, 37542, 46028, 38491, 46027, 40730])).
% 15.28/11.05 tff(46036,plain,((~trans(s399, s4)) | until2p7(s4) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46037,plain,
% 15.28/11.05 (~trans(s399, s4)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46036, 42162, 37532])).
% 15.28/11.05 tff(46038,assumption,(~until2p7(s395)), introduced(assumption)).
% 15.28/11.05 tff(46039,assumption,(trans(s399, s395)), introduced(assumption)).
% 15.28/11.05 tff(46040,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s395) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s395)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s395) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s395)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46041,plain,
% 15.28/11.05 (((~trans(s399, s395)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s395)) <=> (until2p7(s395) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s395)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46042,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s395)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s395) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s395))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46041])).
% 15.28/11.05 tff(46043,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s395)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s395) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s395)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46042, 46040])).
% 15.28/11.05 tff(46044,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s395)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s395))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46045,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s395) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s395))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46044, 46043])).
% 15.28/11.05 tff(46046,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46045, 37542, 46039, 38491, 46038, 40730])).
% 15.28/11.05 tff(46047,plain,((~trans(s399, s395)) | until2p7(s395) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46048,plain,
% 15.28/11.05 (~trans(s399, s395)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46047, 37611, 37532])).
% 15.28/11.05 tff(46049,assumption,(~until2p7(s189)), introduced(assumption)).
% 15.28/11.05 tff(46050,assumption,(trans(s399, s189)), introduced(assumption)).
% 15.28/11.05 tff(46051,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s189) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s189)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46052,plain,
% 15.28/11.05 (((~trans(s399, s189)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s189)) <=> (until2p7(s189) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s189)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46053,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s189)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s189) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s189))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46052])).
% 15.28/11.05 tff(46054,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s189)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s189)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46053, 46051])).
% 15.28/11.05 tff(46055,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s189)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s189))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46056,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s189))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46055, 46054])).
% 15.28/11.05 tff(46057,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46056, 37542, 46050, 38491, 46049, 40730])).
% 15.28/11.05 tff(46058,plain,((~trans(s399, s189)) | until2p7(s189) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46059,plain,
% 15.28/11.05 (~trans(s399, s189)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46058, 39905, 37532])).
% 15.28/11.05 tff(46060,assumption,(~until2p7(s356)), introduced(assumption)).
% 15.28/11.05 tff(46061,assumption,(trans(s399, s356)), introduced(assumption)).
% 15.28/11.05 tff(46062,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s356) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s356)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s356) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s356)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46063,plain,
% 15.28/11.05 (((~trans(s399, s356)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s356)) <=> (until2p7(s356) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s356)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46064,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s356)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s356) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s356))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46063])).
% 15.28/11.05 tff(46065,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s356)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s356) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s356)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46064, 46062])).
% 15.28/11.05 tff(46066,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s356)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s356))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46067,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s356) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s356))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46066, 46065])).
% 15.28/11.05 tff(46068,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46067, 37542, 46061, 38491, 46060, 40730])).
% 15.28/11.05 tff(46069,plain,((~trans(s399, s356)) | until2p7(s356) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46070,plain,
% 15.28/11.05 (~trans(s399, s356)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46069, 38001, 37532])).
% 15.28/11.05 tff(46071,assumption,(~until2p7(s195)), introduced(assumption)).
% 15.28/11.05 tff(46072,assumption,(trans(s399, s195)), introduced(assumption)).
% 15.28/11.05 tff(46073,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s195) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s195)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46074,plain,
% 15.28/11.05 (((~trans(s399, s195)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s195)) <=> (until2p7(s195) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s195)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46075,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s195)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s195) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s195))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46074])).
% 15.28/11.05 tff(46076,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s195)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s195)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46075, 46073])).
% 15.28/11.05 tff(46077,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s195)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s195))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46078,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s195))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46077, 46076])).
% 15.28/11.05 tff(46079,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46078, 37542, 46072, 38491, 46071, 40730])).
% 15.28/11.05 tff(46080,plain,((~trans(s399, s195)) | until2p7(s195) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46081,plain,
% 15.28/11.05 (~trans(s399, s195)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46080, 39835, 37532])).
% 15.28/11.05 tff(46082,assumption,(~until2p7(s80)), introduced(assumption)).
% 15.28/11.05 tff(46083,assumption,(trans(s399, s80)), introduced(assumption)).
% 15.28/11.05 tff(46084,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s80)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46085,plain,
% 15.28/11.05 (((~trans(s399, s80)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s80)) <=> (until2p7(s80) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s80)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46086,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s80)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s80))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46085])).
% 15.28/11.05 tff(46087,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s80)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s80)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46086, 46084])).
% 15.28/11.05 tff(46088,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s80)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s80))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46089,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s80))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46088, 46087])).
% 15.28/11.05 tff(46090,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46089, 37542, 46083, 38491, 46082, 40730])).
% 15.28/11.05 tff(46091,plain,((~trans(s399, s80)) | until2p7(s80) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46092,plain,
% 15.28/11.05 (~trans(s399, s80)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46091, 41256, 37532])).
% 15.28/11.05 tff(46093,assumption,(~until2p7(s325)), introduced(assumption)).
% 15.28/11.05 tff(46094,assumption,(trans(s399, s325)), introduced(assumption)).
% 15.28/11.05 tff(46095,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s325) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s325)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s325) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s325)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46096,plain,
% 15.28/11.05 (((~trans(s399, s325)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s325)) <=> (until2p7(s325) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s325)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46097,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s325)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s325) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s325))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46096])).
% 15.28/11.05 tff(46098,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s325)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s325) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s325)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46097, 46095])).
% 15.28/11.05 tff(46099,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s325)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s325))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46100,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s325) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s325))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46099, 46098])).
% 15.28/11.05 tff(46101,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46100, 37542, 46094, 38491, 46093, 40730])).
% 15.28/11.05 tff(46102,plain,((~trans(s399, s325)) | until2p7(s325) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46103,plain,
% 15.28/11.05 (~trans(s399, s325)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46102, 38311, 37532])).
% 15.28/11.05 tff(46104,assumption,(~until2p7(s113)), introduced(assumption)).
% 15.28/11.05 tff(46105,assumption,(trans(s399, s113)), introduced(assumption)).
% 15.28/11.05 tff(46106,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s113) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s113)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46107,plain,
% 15.28/11.05 (((~trans(s399, s113)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s113)) <=> (until2p7(s113) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s113)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46108,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s113)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s113) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s113))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46107])).
% 15.28/11.05 tff(46109,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s113)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s113)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46108, 46106])).
% 15.28/11.05 tff(46110,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s113)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s113))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46111,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s113))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46110, 46109])).
% 15.28/11.05 tff(46112,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46111, 37542, 46105, 38491, 46104, 40730])).
% 15.28/11.05 tff(46113,plain,((~trans(s399, s113)) | until2p7(s113) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46114,plain,
% 15.28/11.05 (~trans(s399, s113)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46113, 40857, 37532])).
% 15.28/11.05 tff(46115,assumption,(~until2p7(s172)), introduced(assumption)).
% 15.28/11.05 tff(46116,assumption,(trans(s399, s172)), introduced(assumption)).
% 15.28/11.05 tff(46117,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s172) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s172)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46118,plain,
% 15.28/11.05 (((~trans(s399, s172)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s172)) <=> (until2p7(s172) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s172)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46119,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s172)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s172) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s172))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46118])).
% 15.28/11.05 tff(46120,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s172)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s172)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46119, 46117])).
% 15.28/11.05 tff(46121,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s172)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s172))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46122,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s172))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46121, 46120])).
% 15.28/11.05 tff(46123,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46122, 37542, 46116, 38491, 46115, 40730])).
% 15.28/11.05 tff(46124,plain,((~trans(s399, s172)) | until2p7(s172) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46125,plain,
% 15.28/11.05 (~trans(s399, s172)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46124, 40108, 37532])).
% 15.28/11.05 tff(46126,assumption,(~until2p7(s376)), introduced(assumption)).
% 15.28/11.05 tff(46127,assumption,(trans(s399, s376)), introduced(assumption)).
% 15.28/11.05 tff(46128,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s376) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s376)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s376) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s376)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46129,plain,
% 15.28/11.05 (((~trans(s399, s376)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s376)) <=> (until2p7(s376) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s376)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46130,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s376)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s376) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s376))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46129])).
% 15.28/11.05 tff(46131,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s376)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s376) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s376)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46130, 46128])).
% 15.28/11.05 tff(46132,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s376)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s376))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46133,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s376) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s376))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46132, 46131])).
% 15.28/11.05 tff(46134,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46133, 37542, 46127, 38491, 46126, 40730])).
% 15.28/11.05 tff(46135,plain,((~trans(s399, s376)) | until2p7(s376) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46136,plain,
% 15.28/11.05 (~trans(s399, s376)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46135, 37801, 37532])).
% 15.28/11.05 tff(46137,assumption,(~until2p7(s397)), introduced(assumption)).
% 15.28/11.05 tff(46138,assumption,(trans(s399, s397)), introduced(assumption)).
% 15.28/11.05 tff(46139,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s397) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s397)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s397) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s397)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46140,plain,
% 15.28/11.05 (((~trans(s399, s397)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s397)) <=> (until2p7(s397) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s397)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46141,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s397)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s397) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s397))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46140])).
% 15.28/11.05 tff(46142,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s397)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s397) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s397)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46141, 46139])).
% 15.28/11.05 tff(46143,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s397)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s397))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46144,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s397) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s397))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46143, 46142])).
% 15.28/11.05 tff(46145,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46144, 37542, 46138, 38491, 46137, 40730])).
% 15.28/11.05 tff(46146,plain,((~trans(s399, s397)) | until2p7(s397) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46147,plain,
% 15.28/11.05 (~trans(s399, s397)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46146, 37591, 37532])).
% 15.28/11.05 tff(46148,assumption,(~until2p7(s352)), introduced(assumption)).
% 15.28/11.05 tff(46149,assumption,(trans(s399, s352)), introduced(assumption)).
% 15.28/11.05 tff(46150,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s352) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s352)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s352) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s352)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46151,plain,
% 15.28/11.05 (((~trans(s399, s352)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s352)) <=> (until2p7(s352) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s352)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46152,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s352)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s352) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s352))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46151])).
% 15.28/11.05 tff(46153,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s352)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s352) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s352)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46152, 46150])).
% 15.28/11.05 tff(46154,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s352)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s352))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46155,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s352) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s352))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46154, 46153])).
% 15.28/11.05 tff(46156,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46155, 37542, 46149, 38491, 46148, 40730])).
% 15.28/11.05 tff(46157,plain,((~trans(s399, s352)) | until2p7(s352) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46158,plain,
% 15.28/11.05 (~trans(s399, s352)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46157, 38041, 37532])).
% 15.28/11.05 tff(46159,assumption,(~until2p7(s28)), introduced(assumption)).
% 15.28/11.05 tff(46160,assumption,(trans(s399, s28)), introduced(assumption)).
% 15.28/11.05 tff(46161,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s28)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46162,plain,
% 15.28/11.05 (((~trans(s399, s28)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s28)) <=> (until2p7(s28) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s28)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46163,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s28)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s28))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46162])).
% 15.28/11.05 tff(46164,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s28)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s28)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46163, 46161])).
% 15.28/11.05 tff(46165,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s28)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s28))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46166,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s28))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46165, 46164])).
% 15.28/11.05 tff(46167,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46166, 37542, 46160, 38491, 46159, 40730])).
% 15.28/11.05 tff(46168,plain,((~trans(s399, s28)) | until2p7(s28) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46169,plain,
% 15.28/11.05 (~trans(s399, s28)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46168, 41875, 37532])).
% 15.28/11.05 tff(46170,assumption,(~until2p7(s315)), introduced(assumption)).
% 15.28/11.05 tff(46171,assumption,(trans(s399, s315)), introduced(assumption)).
% 15.28/11.05 tff(46172,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s315) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s315)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s315)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46173,plain,
% 15.28/11.05 (((~trans(s399, s315)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s315)) <=> (until2p7(s315) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s315)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.05 tff(46174,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s315)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s315) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s315))))),
% 15.28/11.05 inference(monotonicity,[status(thm)],[46173])).
% 15.28/11.05 tff(46175,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s315)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s315)))),
% 15.28/11.05 inference(transitivity,[status(thm)],[46174, 46172])).
% 15.28/11.05 tff(46176,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s315)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s315))),
% 15.28/11.05 inference(quant_inst,[status(thm)],[])).
% 15.28/11.05 tff(46177,plain,
% 15.28/11.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s315))),
% 15.28/11.05 inference(modus_ponens,[status(thm)],[46176, 46175])).
% 15.28/11.05 tff(46178,plain,
% 15.28/11.05 ($false),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46177, 37542, 46171, 38491, 46170, 40730])).
% 15.28/11.05 tff(46179,plain,((~trans(s399, s315)) | until2p7(s315) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.05 tff(46180,plain,
% 15.28/11.05 (~trans(s399, s315)),
% 15.28/11.05 inference(unit_resolution,[status(thm)],[46179, 38411, 37532])).
% 15.28/11.05 tff(46181,assumption,(~until2p7(s6)), introduced(assumption)).
% 15.28/11.05 tff(46182,assumption,(trans(s399, s6)), introduced(assumption)).
% 15.28/11.05 tff(46183,plain,
% 15.28/11.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s6)))),
% 15.28/11.05 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46184,plain,
% 15.28/11.06 (((~trans(s399, s6)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s6)) <=> (until2p7(s6) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s6)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46185,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s6)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s6))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46184])).
% 15.28/11.06 tff(46186,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s6)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s6)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46185, 46183])).
% 15.28/11.06 tff(46187,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s6)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s6))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46188,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s6))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46187, 46186])).
% 15.28/11.06 tff(46189,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46188, 37542, 46182, 38491, 46181, 40730])).
% 15.28/11.06 tff(46190,plain,((~trans(s399, s6)) | until2p7(s6) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46191,plain,
% 15.28/11.06 (~trans(s399, s6)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46190, 42138, 37532])).
% 15.28/11.06 tff(46192,assumption,(~until2p7(s167)), introduced(assumption)).
% 15.28/11.06 tff(46193,assumption,(trans(s399, s167)), introduced(assumption)).
% 15.28/11.06 tff(46194,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s167) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s167)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46195,plain,
% 15.28/11.06 (((~trans(s399, s167)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s167)) <=> (until2p7(s167) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s167)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46196,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s167)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s167) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s167))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46195])).
% 15.28/11.06 tff(46197,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s167)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s167)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46196, 46194])).
% 15.28/11.06 tff(46198,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s167)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s167))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46199,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s167))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46198, 46197])).
% 15.28/11.06 tff(46200,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46199, 37542, 46193, 38491, 46192, 40730])).
% 15.28/11.06 tff(46201,plain,((~trans(s399, s167)) | until2p7(s167) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46202,plain,
% 15.28/11.06 (~trans(s399, s167)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46201, 40163, 37532])).
% 15.28/11.06 tff(46203,assumption,(~until2p7(s143)), introduced(assumption)).
% 15.28/11.06 tff(46204,assumption,(trans(s399, s143)), introduced(assumption)).
% 15.28/11.06 tff(46205,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s143) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s143)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46206,plain,
% 15.28/11.06 (((~trans(s399, s143)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s143)) <=> (until2p7(s143) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s143)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46207,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s143)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s143) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s143))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46206])).
% 15.28/11.06 tff(46208,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s143)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s143)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46207, 46205])).
% 15.28/11.06 tff(46209,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s143)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s143))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46210,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s143))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46209, 46208])).
% 15.28/11.06 tff(46211,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46210, 37542, 46204, 38491, 46203, 40730])).
% 15.28/11.06 tff(46212,plain,((~trans(s399, s143)) | until2p7(s143) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46213,plain,
% 15.28/11.06 (~trans(s399, s143)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46212, 40446, 37532])).
% 15.28/11.06 tff(46214,assumption,(~until2p7(s96)), introduced(assumption)).
% 15.28/11.06 tff(46215,assumption,(trans(s399, s96)), introduced(assumption)).
% 15.28/11.06 tff(46216,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s96)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46217,plain,
% 15.28/11.06 (((~trans(s399, s96)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s96)) <=> (until2p7(s96) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s96)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46218,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s96)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s96))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46217])).
% 15.28/11.06 tff(46219,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s96)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s96)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46218, 46216])).
% 15.28/11.06 tff(46220,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s96)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s96))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46221,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s96))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46220, 46219])).
% 15.28/11.06 tff(46222,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46221, 37542, 46215, 38491, 46214, 40730])).
% 15.28/11.06 tff(46223,plain,((~trans(s399, s96)) | until2p7(s96) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46224,plain,
% 15.28/11.06 (~trans(s399, s96)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46223, 41064, 37532])).
% 15.28/11.06 tff(46225,assumption,(~until2p7(s51)), introduced(assumption)).
% 15.28/11.06 tff(46226,assumption,(trans(s399, s51)), introduced(assumption)).
% 15.28/11.06 tff(46227,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s51)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46228,plain,
% 15.28/11.06 (((~trans(s399, s51)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s51)) <=> (until2p7(s51) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s51)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46229,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s51)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s51))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46228])).
% 15.28/11.06 tff(46230,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s51)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s51)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46229, 46227])).
% 15.28/11.06 tff(46231,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s51)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s51))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46232,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s51))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46231, 46230])).
% 15.28/11.06 tff(46233,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46232, 37542, 46226, 38491, 46225, 40730])).
% 15.28/11.06 tff(46234,plain,((~trans(s399, s51)) | until2p7(s51) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46235,plain,
% 15.28/11.06 (~trans(s399, s51)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46234, 41604, 37532])).
% 15.28/11.06 tff(46236,assumption,(~until2p7(s389)), introduced(assumption)).
% 15.28/11.06 tff(46237,assumption,(trans(s399, s389)), introduced(assumption)).
% 15.28/11.06 tff(46238,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s389) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s389)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s389) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s389)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46239,plain,
% 15.28/11.06 (((~trans(s399, s389)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s389)) <=> (until2p7(s389) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s389)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46240,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s389)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s389) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s389))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46239])).
% 15.28/11.06 tff(46241,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s389)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s389) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s389)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46240, 46238])).
% 15.28/11.06 tff(46242,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s389)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s389))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46243,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s389) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s389))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46242, 46241])).
% 15.28/11.06 tff(46244,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46243, 37542, 46237, 38491, 46236, 40730])).
% 15.28/11.06 tff(46245,plain,((~trans(s399, s389)) | until2p7(s389) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46246,plain,
% 15.28/11.06 (~trans(s399, s389)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46245, 37671, 37532])).
% 15.28/11.06 tff(46247,assumption,(~until2p7(s341)), introduced(assumption)).
% 15.28/11.06 tff(46248,assumption,(trans(s399, s341)), introduced(assumption)).
% 15.28/11.06 tff(46249,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s341) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s341)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s341) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s341)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46250,plain,
% 15.28/11.06 (((~trans(s399, s341)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s341)) <=> (until2p7(s341) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s341)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46251,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s341)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s341) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s341))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46250])).
% 15.28/11.06 tff(46252,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s341)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s341) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s341)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46251, 46249])).
% 15.28/11.06 tff(46253,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s341)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s341))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46254,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s341) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s341))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46253, 46252])).
% 15.28/11.06 tff(46255,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46254, 37542, 46248, 38491, 46247, 40730])).
% 15.28/11.06 tff(46256,plain,((~trans(s399, s341)) | until2p7(s341) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46257,plain,
% 15.28/11.06 (~trans(s399, s341)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46256, 38151, 37532])).
% 15.28/11.06 tff(46258,assumption,(~until2p7(s314)), introduced(assumption)).
% 15.28/11.06 tff(46259,assumption,(trans(s399, s314)), introduced(assumption)).
% 15.28/11.06 tff(46260,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s314) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s314)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s314) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s314)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46261,plain,
% 15.28/11.06 (((~trans(s399, s314)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s314)) <=> (until2p7(s314) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s314)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46262,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s314)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s314) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s314))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46261])).
% 15.28/11.06 tff(46263,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s314)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s314) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s314)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46262, 46260])).
% 15.28/11.06 tff(46264,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s314)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s314))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46265,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s314) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s314))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46264, 46263])).
% 15.28/11.06 tff(46266,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46265, 37542, 46259, 38491, 46258, 40730])).
% 15.28/11.06 tff(46267,plain,((~trans(s399, s314)) | until2p7(s314) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46268,plain,
% 15.28/11.06 (~trans(s399, s314)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46267, 38421, 37532])).
% 15.28/11.06 tff(46269,assumption,(~until2p7(s331)), introduced(assumption)).
% 15.28/11.06 tff(46270,assumption,(trans(s399, s331)), introduced(assumption)).
% 15.28/11.06 tff(46271,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s331) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s331)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s331)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46272,plain,
% 15.28/11.06 (((~trans(s399, s331)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s331)) <=> (until2p7(s331) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s331)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46273,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s331)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s331) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s331))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46272])).
% 15.28/11.06 tff(46274,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s331)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s331)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46273, 46271])).
% 15.28/11.06 tff(46275,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s331)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s331))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46276,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s331))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46275, 46274])).
% 15.28/11.06 tff(46277,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46276, 37542, 46270, 38491, 46269, 40730])).
% 15.28/11.06 tff(46278,plain,((~trans(s399, s331)) | until2p7(s331) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46279,plain,
% 15.28/11.06 (~trans(s399, s331)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46278, 38251, 37532])).
% 15.28/11.06 tff(46280,assumption,(~until2p7(s166)), introduced(assumption)).
% 15.28/11.06 tff(46281,assumption,(trans(s399, s166)), introduced(assumption)).
% 15.28/11.06 tff(46282,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s166) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s166)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46283,plain,
% 15.28/11.06 (((~trans(s399, s166)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s166)) <=> (until2p7(s166) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s166)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46284,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s166)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s166) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s166))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46283])).
% 15.28/11.06 tff(46285,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s166)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s166)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46284, 46282])).
% 15.28/11.06 tff(46286,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s166)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s166))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46287,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s166))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46286, 46285])).
% 15.28/11.06 tff(46288,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46287, 37542, 46281, 38491, 46280, 40730])).
% 15.28/11.06 tff(46289,plain,((~trans(s399, s166)) | until2p7(s166) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46290,plain,
% 15.28/11.06 (~trans(s399, s166)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46289, 40177, 37532])).
% 15.28/11.06 tff(46291,assumption,(~until2p7(s294)), introduced(assumption)).
% 15.28/11.06 tff(46292,assumption,(trans(s399, s294)), introduced(assumption)).
% 15.28/11.06 tff(46293,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s294) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s294)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s294)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46294,plain,
% 15.28/11.06 (((~trans(s399, s294)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s294)) <=> (until2p7(s294) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s294)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46295,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s294)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s294) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s294))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46294])).
% 15.28/11.06 tff(46296,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s294)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s294)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46295, 46293])).
% 15.28/11.06 tff(46297,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s294)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s294))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46298,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s294))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46297, 46296])).
% 15.28/11.06 tff(46299,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46298, 37542, 46292, 38491, 46291, 40730])).
% 15.28/11.06 tff(46300,plain,((~trans(s399, s294)) | until2p7(s294) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46301,plain,
% 15.28/11.06 (~trans(s399, s294)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46300, 38652, 37532])).
% 15.28/11.06 tff(46302,assumption,(~until2p7(s144)), introduced(assumption)).
% 15.28/11.06 tff(46303,assumption,(trans(s399, s144)), introduced(assumption)).
% 15.28/11.06 tff(46304,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s144) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s144)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46305,plain,
% 15.28/11.06 (((~trans(s399, s144)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s144)) <=> (until2p7(s144) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s144)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46306,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s144)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s144) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s144))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46305])).
% 15.28/11.06 tff(46307,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s144)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s144)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46306, 46304])).
% 15.28/11.06 tff(46308,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s144)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s144))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46309,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s144))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46308, 46307])).
% 15.28/11.06 tff(46310,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46309, 37542, 46303, 38491, 46302, 40730])).
% 15.28/11.06 tff(46311,plain,((~trans(s399, s144)) | until2p7(s144) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46312,plain,
% 15.28/11.06 (~trans(s399, s144)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46311, 40434, 37532])).
% 15.28/11.06 tff(46313,assumption,(~until2p7(s117)), introduced(assumption)).
% 15.28/11.06 tff(46314,assumption,(trans(s399, s117)), introduced(assumption)).
% 15.28/11.06 tff(46315,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s117) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s117)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46316,plain,
% 15.28/11.06 (((~trans(s399, s117)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s117)) <=> (until2p7(s117) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s117)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46317,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s117)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s117) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s117))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46316])).
% 15.28/11.06 tff(46318,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s117)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s117)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46317, 46315])).
% 15.28/11.06 tff(46319,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s117)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s117))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46320,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s117))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46319, 46318])).
% 15.28/11.06 tff(46321,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46320, 37542, 46314, 38491, 46313, 40730])).
% 15.28/11.06 tff(46322,plain,((~trans(s399, s117)) | until2p7(s117) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46323,plain,
% 15.28/11.06 (~trans(s399, s117)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46322, 40809, 37532])).
% 15.28/11.06 tff(46324,assumption,(~until2p7(s41)), introduced(assumption)).
% 15.28/11.06 tff(46325,assumption,(trans(s399, s41)), introduced(assumption)).
% 15.28/11.06 tff(46326,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s41)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46327,plain,
% 15.28/11.06 (((~trans(s399, s41)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s41)) <=> (until2p7(s41) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s41)))),
% 15.28/11.06 inference(rewrite,[status(thm)],[])).
% 15.28/11.06 tff(46328,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s41)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s41))))),
% 15.28/11.06 inference(monotonicity,[status(thm)],[46327])).
% 15.28/11.06 tff(46329,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s41)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s41)))),
% 15.28/11.06 inference(transitivity,[status(thm)],[46328, 46326])).
% 15.28/11.06 tff(46330,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s41)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s41))),
% 15.28/11.06 inference(quant_inst,[status(thm)],[])).
% 15.28/11.06 tff(46331,plain,
% 15.28/11.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s41))),
% 15.28/11.06 inference(modus_ponens,[status(thm)],[46330, 46329])).
% 15.28/11.06 tff(46332,plain,
% 15.28/11.06 ($false),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46331, 37542, 46325, 38491, 46324, 40730])).
% 15.28/11.06 tff(46333,plain,((~trans(s399, s41)) | until2p7(s41) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.06 tff(46334,plain,
% 15.28/11.06 (~trans(s399, s41)),
% 15.28/11.06 inference(unit_resolution,[status(thm)],[46333, 41722, 37532])).
% 15.28/11.06 tff(46335,assumption,(~until2p7(s340)), introduced(assumption)).
% 15.28/11.06 tff(46336,assumption,(trans(s399, s340)), introduced(assumption)).
% 15.28/11.06 tff(46337,plain,
% 15.28/11.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s340) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s340)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s340) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s340)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46338,plain,
% 15.28/11.07 (((~trans(s399, s340)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s340)) <=> (until2p7(s340) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s340)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46339,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s340)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s340) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s340))))),
% 15.28/11.07 inference(monotonicity,[status(thm)],[46338])).
% 15.28/11.07 tff(46340,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s340)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s340) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s340)))),
% 15.28/11.07 inference(transitivity,[status(thm)],[46339, 46337])).
% 15.28/11.07 tff(46341,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s340)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s340))),
% 15.28/11.07 inference(quant_inst,[status(thm)],[])).
% 15.28/11.07 tff(46342,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s340) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s340))),
% 15.28/11.07 inference(modus_ponens,[status(thm)],[46341, 46340])).
% 15.28/11.07 tff(46343,plain,
% 15.28/11.07 ($false),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46342, 37542, 46336, 38491, 46335, 40730])).
% 15.28/11.07 tff(46344,plain,((~trans(s399, s340)) | until2p7(s340) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.07 tff(46345,plain,
% 15.28/11.07 (~trans(s399, s340)),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46344, 38161, 37532])).
% 15.28/11.07 tff(46346,assumption,(~until2p7(s173)), introduced(assumption)).
% 15.28/11.07 tff(46347,assumption,(trans(s399, s173)), introduced(assumption)).
% 15.28/11.07 tff(46348,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s173) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s173)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46349,plain,
% 15.28/11.07 (((~trans(s399, s173)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s173)) <=> (until2p7(s173) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s173)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46350,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s173)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s173) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s173))))),
% 15.28/11.07 inference(monotonicity,[status(thm)],[46349])).
% 15.28/11.07 tff(46351,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s173)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s173)))),
% 15.28/11.07 inference(transitivity,[status(thm)],[46350, 46348])).
% 15.28/11.07 tff(46352,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s173)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s173))),
% 15.28/11.07 inference(quant_inst,[status(thm)],[])).
% 15.28/11.07 tff(46353,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s173))),
% 15.28/11.07 inference(modus_ponens,[status(thm)],[46352, 46351])).
% 15.28/11.07 tff(46354,plain,
% 15.28/11.07 ($false),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46353, 37542, 46347, 38491, 46346, 40730])).
% 15.28/11.07 tff(46355,plain,((~trans(s399, s173)) | until2p7(s173) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.07 tff(46356,plain,
% 15.28/11.07 (~trans(s399, s173)),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46355, 40096, 37532])).
% 15.28/11.07 tff(46357,assumption,(~until2p7(s30)), introduced(assumption)).
% 15.28/11.07 tff(46358,assumption,(trans(s399, s30)), introduced(assumption)).
% 15.28/11.07 tff(46359,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s30)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46360,plain,
% 15.28/11.07 (((~trans(s399, s30)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s30)) <=> (until2p7(s30) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s30)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46361,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s30)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s30))))),
% 15.28/11.07 inference(monotonicity,[status(thm)],[46360])).
% 15.28/11.07 tff(46362,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s30)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s30)))),
% 15.28/11.07 inference(transitivity,[status(thm)],[46361, 46359])).
% 15.28/11.07 tff(46363,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s30)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s30))),
% 15.28/11.07 inference(quant_inst,[status(thm)],[])).
% 15.28/11.07 tff(46364,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s30))),
% 15.28/11.07 inference(modus_ponens,[status(thm)],[46363, 46362])).
% 15.28/11.07 tff(46365,plain,
% 15.28/11.07 ($false),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46364, 37542, 46358, 38491, 46357, 40730])).
% 15.28/11.07 tff(46366,plain,((~trans(s399, s30)) | until2p7(s30) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.07 tff(46367,plain,
% 15.28/11.07 (~trans(s399, s30)),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46366, 41852, 37532])).
% 15.28/11.07 tff(46368,assumption,(~until2p7(s184)), introduced(assumption)).
% 15.28/11.07 tff(46369,assumption,(trans(s399, s184)), introduced(assumption)).
% 15.28/11.07 tff(46370,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s184) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s184)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46371,plain,
% 15.28/11.07 (((~trans(s399, s184)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s184)) <=> (until2p7(s184) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s184)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46372,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s184)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s184) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s184))))),
% 15.28/11.07 inference(monotonicity,[status(thm)],[46371])).
% 15.28/11.07 tff(46373,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s184)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s184)))),
% 15.28/11.07 inference(transitivity,[status(thm)],[46372, 46370])).
% 15.28/11.07 tff(46374,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s184)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s184))),
% 15.28/11.07 inference(quant_inst,[status(thm)],[])).
% 15.28/11.07 tff(46375,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s184))),
% 15.28/11.07 inference(modus_ponens,[status(thm)],[46374, 46373])).
% 15.28/11.07 tff(46376,plain,
% 15.28/11.07 ($false),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46375, 37542, 46369, 38491, 46368, 40730])).
% 15.28/11.07 tff(46377,plain,((~trans(s399, s184)) | until2p7(s184) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.07 tff(46378,plain,
% 15.28/11.07 (~trans(s399, s184)),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46377, 39963, 37532])).
% 15.28/11.07 tff(46379,assumption,(~until2p7(s317)), introduced(assumption)).
% 15.28/11.07 tff(46380,assumption,(trans(s399, s317)), introduced(assumption)).
% 15.28/11.07 tff(46381,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s317) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s317)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s317) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s317)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46382,plain,
% 15.28/11.07 (((~trans(s399, s317)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s317)) <=> (until2p7(s317) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s317)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46383,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s317)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s317) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s317))))),
% 15.28/11.07 inference(monotonicity,[status(thm)],[46382])).
% 15.28/11.07 tff(46384,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s317)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s317) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s317)))),
% 15.28/11.07 inference(transitivity,[status(thm)],[46383, 46381])).
% 15.28/11.07 tff(46385,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s317)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s317))),
% 15.28/11.07 inference(quant_inst,[status(thm)],[])).
% 15.28/11.07 tff(46386,plain,
% 15.28/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s317) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s317))),
% 15.28/11.07 inference(modus_ponens,[status(thm)],[46385, 46384])).
% 15.28/11.07 tff(46387,plain,
% 15.28/11.07 ($false),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46386, 37542, 46380, 38491, 46379, 40730])).
% 15.28/11.07 tff(46388,plain,((~trans(s399, s317)) | until2p7(s317) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.28/11.07 tff(46389,plain,
% 15.28/11.07 (~trans(s399, s317)),
% 15.28/11.07 inference(unit_resolution,[status(thm)],[46388, 38391, 37532])).
% 15.28/11.07 tff(46390,assumption,(~until2p7(s150)), introduced(assumption)).
% 15.28/11.07 tff(46391,assumption,(trans(s399, s150)), introduced(assumption)).
% 15.28/11.07 tff(46392,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s150) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s150)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46393,plain,
% 15.28/11.07 (((~trans(s399, s150)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s150)) <=> (until2p7(s150) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s150)))),
% 15.28/11.07 inference(rewrite,[status(thm)],[])).
% 15.28/11.07 tff(46394,plain,
% 15.28/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s150)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s150) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s150))))),
% 15.36/11.07 inference(monotonicity,[status(thm)],[46393])).
% 15.36/11.07 tff(46395,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s150)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s150)))),
% 15.36/11.07 inference(transitivity,[status(thm)],[46394, 46392])).
% 15.36/11.07 tff(46396,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s150)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s150))),
% 15.36/11.07 inference(quant_inst,[status(thm)],[])).
% 15.36/11.07 tff(46397,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s150))),
% 15.36/11.07 inference(modus_ponens,[status(thm)],[46396, 46395])).
% 15.36/11.07 tff(46398,plain,
% 15.36/11.07 ($false),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46397, 37542, 46391, 38491, 46390, 40730])).
% 15.36/11.07 tff(46399,plain,((~trans(s399, s150)) | until2p7(s150) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.07 tff(46400,plain,
% 15.36/11.07 (~trans(s399, s150)),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46399, 40365, 37532])).
% 15.36/11.07 tff(46401,assumption,(~until2p7(s288)), introduced(assumption)).
% 15.36/11.07 tff(46402,assumption,(trans(s399, s288)), introduced(assumption)).
% 15.36/11.07 tff(46403,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s288) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s288)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s288)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46404,plain,
% 15.36/11.07 (((~trans(s399, s288)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s288)) <=> (until2p7(s288) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s288)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46405,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s288)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s288) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s288))))),
% 15.36/11.07 inference(monotonicity,[status(thm)],[46404])).
% 15.36/11.07 tff(46406,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s288)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s288)))),
% 15.36/11.07 inference(transitivity,[status(thm)],[46405, 46403])).
% 15.36/11.07 tff(46407,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s288)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s288))),
% 15.36/11.07 inference(quant_inst,[status(thm)],[])).
% 15.36/11.07 tff(46408,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s288))),
% 15.36/11.07 inference(modus_ponens,[status(thm)],[46407, 46406])).
% 15.36/11.07 tff(46409,plain,
% 15.36/11.07 ($false),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46408, 37542, 46402, 38491, 46401, 40730])).
% 15.36/11.07 tff(46410,plain,((~trans(s399, s288)) | until2p7(s288) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.07 tff(46411,plain,
% 15.36/11.07 (~trans(s399, s288)),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46410, 38723, 37532])).
% 15.36/11.07 tff(46412,assumption,(~until2p7(s319)), introduced(assumption)).
% 15.36/11.07 tff(46413,assumption,(trans(s399, s319)), introduced(assumption)).
% 15.36/11.07 tff(46414,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s319) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s319)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s319) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s319)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46415,plain,
% 15.36/11.07 (((~trans(s399, s319)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s319)) <=> (until2p7(s319) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s319)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46416,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s319)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s319) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s319))))),
% 15.36/11.07 inference(monotonicity,[status(thm)],[46415])).
% 15.36/11.07 tff(46417,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s319)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s319) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s319)))),
% 15.36/11.07 inference(transitivity,[status(thm)],[46416, 46414])).
% 15.36/11.07 tff(46418,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s319)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s319))),
% 15.36/11.07 inference(quant_inst,[status(thm)],[])).
% 15.36/11.07 tff(46419,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s319) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s319))),
% 15.36/11.07 inference(modus_ponens,[status(thm)],[46418, 46417])).
% 15.36/11.07 tff(46420,plain,
% 15.36/11.07 ($false),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46419, 37542, 46413, 38491, 46412, 40730])).
% 15.36/11.07 tff(46421,plain,((~trans(s399, s319)) | until2p7(s319) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.07 tff(46422,plain,
% 15.36/11.07 (~trans(s399, s319)),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46421, 38371, 37532])).
% 15.36/11.07 tff(46423,assumption,(~until2p7(s38)), introduced(assumption)).
% 15.36/11.07 tff(46424,assumption,(trans(s399, s38)), introduced(assumption)).
% 15.36/11.07 tff(46425,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s38)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46426,plain,
% 15.36/11.07 (((~trans(s399, s38)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s38)) <=> (until2p7(s38) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s38)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46427,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s38)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s38))))),
% 15.36/11.07 inference(monotonicity,[status(thm)],[46426])).
% 15.36/11.07 tff(46428,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s38)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s38)))),
% 15.36/11.07 inference(transitivity,[status(thm)],[46427, 46425])).
% 15.36/11.07 tff(46429,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s38)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s38))),
% 15.36/11.07 inference(quant_inst,[status(thm)],[])).
% 15.36/11.07 tff(46430,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s38))),
% 15.36/11.07 inference(modus_ponens,[status(thm)],[46429, 46428])).
% 15.36/11.07 tff(46431,plain,
% 15.36/11.07 ($false),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46430, 37542, 46424, 38491, 46423, 40730])).
% 15.36/11.07 tff(46432,plain,((~trans(s399, s38)) | until2p7(s38) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.07 tff(46433,plain,
% 15.36/11.07 (~trans(s399, s38)),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46432, 41758, 37532])).
% 15.36/11.07 tff(46434,assumption,(~until2p7(s342)), introduced(assumption)).
% 15.36/11.07 tff(46435,assumption,(trans(s399, s342)), introduced(assumption)).
% 15.36/11.07 tff(46436,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s342) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s342)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s342) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s342)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46437,plain,
% 15.36/11.07 (((~trans(s399, s342)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s342)) <=> (until2p7(s342) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s342)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46438,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s342)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s342) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s342))))),
% 15.36/11.07 inference(monotonicity,[status(thm)],[46437])).
% 15.36/11.07 tff(46439,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s342)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s342) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s342)))),
% 15.36/11.07 inference(transitivity,[status(thm)],[46438, 46436])).
% 15.36/11.07 tff(46440,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s342)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s342))),
% 15.36/11.07 inference(quant_inst,[status(thm)],[])).
% 15.36/11.07 tff(46441,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s342) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s342))),
% 15.36/11.07 inference(modus_ponens,[status(thm)],[46440, 46439])).
% 15.36/11.07 tff(46442,plain,
% 15.36/11.07 ($false),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46441, 37542, 46435, 38491, 46434, 40730])).
% 15.36/11.07 tff(46443,plain,((~trans(s399, s342)) | until2p7(s342) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.07 tff(46444,plain,
% 15.36/11.07 (~trans(s399, s342)),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46443, 38141, 37532])).
% 15.36/11.07 tff(46445,assumption,(~until2p7(s37)), introduced(assumption)).
% 15.36/11.07 tff(46446,assumption,(trans(s399, s37)), introduced(assumption)).
% 15.36/11.07 tff(46447,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s37)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46448,plain,
% 15.36/11.07 (((~trans(s399, s37)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s37)) <=> (until2p7(s37) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s37)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46449,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s37)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s37))))),
% 15.36/11.07 inference(monotonicity,[status(thm)],[46448])).
% 15.36/11.07 tff(46450,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s37)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s37)))),
% 15.36/11.07 inference(transitivity,[status(thm)],[46449, 46447])).
% 15.36/11.07 tff(46451,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s37)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s37))),
% 15.36/11.07 inference(quant_inst,[status(thm)],[])).
% 15.36/11.07 tff(46452,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s37))),
% 15.36/11.07 inference(modus_ponens,[status(thm)],[46451, 46450])).
% 15.36/11.07 tff(46453,plain,
% 15.36/11.07 ($false),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46452, 37542, 46446, 38491, 46445, 40730])).
% 15.36/11.07 tff(46454,plain,((~trans(s399, s37)) | until2p7(s37) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.07 tff(46455,plain,
% 15.36/11.07 (~trans(s399, s37)),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46454, 41770, 37532])).
% 15.36/11.07 tff(46456,assumption,(~until2p7(s199)), introduced(assumption)).
% 15.36/11.07 tff(46457,assumption,(trans(s399, s199)), introduced(assumption)).
% 15.36/11.07 tff(46458,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s199) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s199)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s199)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46459,plain,
% 15.36/11.07 (((~trans(s399, s199)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s199)) <=> (until2p7(s199) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s199)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46460,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s199)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s199) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s199))))),
% 15.36/11.07 inference(monotonicity,[status(thm)],[46459])).
% 15.36/11.07 tff(46461,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s199)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s199)))),
% 15.36/11.07 inference(transitivity,[status(thm)],[46460, 46458])).
% 15.36/11.07 tff(46462,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s199)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s199))),
% 15.36/11.07 inference(quant_inst,[status(thm)],[])).
% 15.36/11.07 tff(46463,plain,
% 15.36/11.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s199))),
% 15.36/11.07 inference(modus_ponens,[status(thm)],[46462, 46461])).
% 15.36/11.07 tff(46464,plain,
% 15.36/11.07 ($false),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46463, 37542, 46457, 38491, 46456, 40730])).
% 15.36/11.07 tff(46465,plain,((~trans(s399, s199)) | until2p7(s199) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.07 tff(46466,plain,
% 15.36/11.07 (~trans(s399, s199)),
% 15.36/11.07 inference(unit_resolution,[status(thm)],[46465, 39788, 37532])).
% 15.36/11.07 tff(46467,assumption,(~until2p7(s312)), introduced(assumption)).
% 15.36/11.07 tff(46468,assumption,(trans(s399, s312)), introduced(assumption)).
% 15.36/11.07 tff(46469,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s312) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s312)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s312) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s312)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46470,plain,
% 15.36/11.07 (((~trans(s399, s312)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s312)) <=> (until2p7(s312) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s312)))),
% 15.36/11.07 inference(rewrite,[status(thm)],[])).
% 15.36/11.07 tff(46471,plain,
% 15.36/11.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s312)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s312) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s312))))),
% 15.36/11.08 inference(monotonicity,[status(thm)],[46470])).
% 15.36/11.08 tff(46472,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s312)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s312) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s312)))),
% 15.36/11.08 inference(transitivity,[status(thm)],[46471, 46469])).
% 15.36/11.08 tff(46473,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s312)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s312))),
% 15.36/11.08 inference(quant_inst,[status(thm)],[])).
% 15.36/11.08 tff(46474,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s312) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s312))),
% 15.36/11.08 inference(modus_ponens,[status(thm)],[46473, 46472])).
% 15.36/11.08 tff(46475,plain,
% 15.36/11.08 ($false),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46474, 37542, 46468, 38491, 46467, 40730])).
% 15.36/11.08 tff(46476,plain,((~trans(s399, s312)) | until2p7(s312) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.08 tff(46477,plain,
% 15.36/11.08 (~trans(s399, s312)),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46476, 38441, 37532])).
% 15.36/11.08 tff(46478,assumption,(~until2p7(s249)), introduced(assumption)).
% 15.36/11.08 tff(46479,assumption,(trans(s399, s249)), introduced(assumption)).
% 15.36/11.08 tff(46480,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s249) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s249)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s249)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46481,plain,
% 15.36/11.08 (((~trans(s399, s249)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s249)) <=> (until2p7(s249) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s249)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46482,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s249)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s249) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s249))))),
% 15.36/11.08 inference(monotonicity,[status(thm)],[46481])).
% 15.36/11.08 tff(46483,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s249)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s249)))),
% 15.36/11.08 inference(transitivity,[status(thm)],[46482, 46480])).
% 15.36/11.08 tff(46484,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s249)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s249))),
% 15.36/11.08 inference(quant_inst,[status(thm)],[])).
% 15.36/11.08 tff(46485,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s249))),
% 15.36/11.08 inference(modus_ponens,[status(thm)],[46484, 46483])).
% 15.36/11.08 tff(46486,plain,
% 15.36/11.08 ($false),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46485, 37542, 46479, 38491, 46478, 40730])).
% 15.36/11.08 tff(46487,plain,((~trans(s399, s249)) | until2p7(s249) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.08 tff(46488,plain,
% 15.36/11.08 (~trans(s399, s249)),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46487, 39191, 37532])).
% 15.36/11.08 tff(46489,assumption,(~until2p7(s18)), introduced(assumption)).
% 15.36/11.08 tff(46490,assumption,(trans(s399, s18)), introduced(assumption)).
% 15.36/11.08 tff(46491,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s18)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46492,plain,
% 15.36/11.08 (((~trans(s399, s18)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s18)) <=> (until2p7(s18) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s18)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46493,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s18)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s18))))),
% 15.36/11.08 inference(monotonicity,[status(thm)],[46492])).
% 15.36/11.08 tff(46494,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s18)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s18)))),
% 15.36/11.08 inference(transitivity,[status(thm)],[46493, 46491])).
% 15.36/11.08 tff(46495,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s18)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s18))),
% 15.36/11.08 inference(quant_inst,[status(thm)],[])).
% 15.36/11.08 tff(46496,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s18))),
% 15.36/11.08 inference(modus_ponens,[status(thm)],[46495, 46494])).
% 15.36/11.08 tff(46497,plain,
% 15.36/11.08 ($false),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46496, 37542, 46490, 38491, 46489, 40730])).
% 15.36/11.08 tff(46498,plain,((~trans(s399, s18)) | until2p7(s18) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.08 tff(46499,plain,
% 15.36/11.08 (~trans(s399, s18)),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46498, 41995, 37532])).
% 15.36/11.08 tff(46500,assumption,(~until2p7(s346)), introduced(assumption)).
% 15.36/11.08 tff(46501,assumption,(trans(s399, s346)), introduced(assumption)).
% 15.36/11.08 tff(46502,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s346) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s346)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s346) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s346)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46503,plain,
% 15.36/11.08 (((~trans(s399, s346)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s346)) <=> (until2p7(s346) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s346)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46504,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s346)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s346) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s346))))),
% 15.36/11.08 inference(monotonicity,[status(thm)],[46503])).
% 15.36/11.08 tff(46505,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s346)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s346) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s346)))),
% 15.36/11.08 inference(transitivity,[status(thm)],[46504, 46502])).
% 15.36/11.08 tff(46506,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s346)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s346))),
% 15.36/11.08 inference(quant_inst,[status(thm)],[])).
% 15.36/11.08 tff(46507,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s346) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s346))),
% 15.36/11.08 inference(modus_ponens,[status(thm)],[46506, 46505])).
% 15.36/11.08 tff(46508,plain,
% 15.36/11.08 ($false),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46507, 37542, 46501, 38491, 46500, 40730])).
% 15.36/11.08 tff(46509,plain,((~trans(s399, s346)) | until2p7(s346) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.08 tff(46510,plain,
% 15.36/11.08 (~trans(s399, s346)),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46509, 38101, 37532])).
% 15.36/11.08 tff(46511,assumption,(~until2p7(s393)), introduced(assumption)).
% 15.36/11.08 tff(46512,assumption,(trans(s399, s393)), introduced(assumption)).
% 15.36/11.08 tff(46513,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s393) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s393)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s393) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s393)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46514,plain,
% 15.36/11.08 (((~trans(s399, s393)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s393)) <=> (until2p7(s393) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s393)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46515,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s393)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s393) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s393))))),
% 15.36/11.08 inference(monotonicity,[status(thm)],[46514])).
% 15.36/11.08 tff(46516,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s393)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s393) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s393)))),
% 15.36/11.08 inference(transitivity,[status(thm)],[46515, 46513])).
% 15.36/11.08 tff(46517,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s393)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s393))),
% 15.36/11.08 inference(quant_inst,[status(thm)],[])).
% 15.36/11.08 tff(46518,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s393) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s393))),
% 15.36/11.08 inference(modus_ponens,[status(thm)],[46517, 46516])).
% 15.36/11.08 tff(46519,plain,
% 15.36/11.08 ($false),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46518, 37542, 46512, 38491, 46511, 40730])).
% 15.36/11.08 tff(46520,plain,((~trans(s399, s393)) | until2p7(s393) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.08 tff(46521,plain,
% 15.36/11.08 (~trans(s399, s393)),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46520, 37631, 37532])).
% 15.36/11.08 tff(46522,assumption,(~until2p7(s177)), introduced(assumption)).
% 15.36/11.08 tff(46523,assumption,(trans(s399, s177)), introduced(assumption)).
% 15.36/11.08 tff(46524,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s177) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s177)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46525,plain,
% 15.36/11.08 (((~trans(s399, s177)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s177)) <=> (until2p7(s177) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s177)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46526,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s177)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s177) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s177))))),
% 15.36/11.08 inference(monotonicity,[status(thm)],[46525])).
% 15.36/11.08 tff(46527,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s177)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s177)))),
% 15.36/11.08 inference(transitivity,[status(thm)],[46526, 46524])).
% 15.36/11.08 tff(46528,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s177)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s177))),
% 15.36/11.08 inference(quant_inst,[status(thm)],[])).
% 15.36/11.08 tff(46529,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s177))),
% 15.36/11.08 inference(modus_ponens,[status(thm)],[46528, 46527])).
% 15.36/11.08 tff(46530,plain,
% 15.36/11.08 ($false),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46529, 37542, 46523, 38491, 46522, 40730])).
% 15.36/11.08 tff(46531,plain,((~trans(s399, s177)) | until2p7(s177) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.08 tff(46532,plain,
% 15.36/11.08 (~trans(s399, s177)),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46531, 40048, 37532])).
% 15.36/11.08 tff(46533,assumption,(~until2p7(s42)), introduced(assumption)).
% 15.36/11.08 tff(46534,assumption,(trans(s399, s42)), introduced(assumption)).
% 15.36/11.08 tff(46535,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s42)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46536,plain,
% 15.36/11.08 (((~trans(s399, s42)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s42)) <=> (until2p7(s42) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s42)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46537,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s42)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s42))))),
% 15.36/11.08 inference(monotonicity,[status(thm)],[46536])).
% 15.36/11.08 tff(46538,plain,
% 15.36/11.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s42)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s42)))),
% 15.36/11.08 inference(transitivity,[status(thm)],[46537, 46535])).
% 15.36/11.08 tff(46539,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s399, s42)) | (~last(s399)) | (~xuntil6(s399)) | until2p7(s42))),
% 15.36/11.08 inference(quant_inst,[status(thm)],[])).
% 15.36/11.08 tff(46540,plain,
% 15.36/11.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s399)) | (~xuntil6(s399)) | (~trans(s399, s42))),
% 15.36/11.08 inference(modus_ponens,[status(thm)],[46539, 46538])).
% 15.36/11.08 tff(46541,plain,
% 15.36/11.08 ($false),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46540, 37542, 46534, 38491, 46533, 40730])).
% 15.36/11.08 tff(46542,plain,((~trans(s399, s42)) | until2p7(s42) | (~xuntil6(s399))), inference(lemma,lemma(discharge,[]))).
% 15.36/11.08 tff(46543,plain,
% 15.36/11.08 (~trans(s399, s42)),
% 15.36/11.08 inference(unit_resolution,[status(thm)],[46542, 41709, 37532])).
% 15.36/11.08 tff(46544,assumption,(~loop), introduced(assumption)).
% 15.36/11.08 tff(46545,plain,
% 15.36/11.08 (^[X: $i] : refl((loop | (~always3(X)) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 15.36/11.08 inference(bind,[status(th)],[])).
% 15.36/11.08 tff(46546,plain,
% 15.36/11.08 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 15.36/11.08 inference(quant_intro,[status(thm)],[46545])).
% 15.36/11.08 tff(46547,plain,
% 15.36/11.08 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 15.36/11.08 inference(rewrite,[status(thm)],[])).
% 15.36/11.08 tff(46548,plain,
% 15.36/11.08 (^[X: $i] : rewrite(((loop | (~always3(X))) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 15.36/11.08 inference(bind,[status(th)],[])).
% 15.37/11.08 tff(46549,plain,
% 15.37/11.08 (![X: $i] : ((loop | (~always3(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 15.37/11.08 inference(quant_intro,[status(thm)],[46548])).
% 15.37/11.08 tff(46550,axiom,(![X: $i] : ((loop | (~always3(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty3')).
% 15.37/11.08 tff(46551,plain,
% 15.37/11.08 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 15.37/11.08 inference(modus_ponens,[status(thm)],[46550, 46549])).
% 15.37/11.08 tff(46552,plain,
% 15.37/11.08 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 15.37/11.08 inference(modus_ponens,[status(thm)],[46551, 46547])).
% 15.37/11.08 tff(46553,plain,(
% 15.37/11.08 ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 15.37/11.08 inference(skolemize,[status(sab)],[46552])).
% 15.37/11.08 tff(46554,plain,
% 15.37/11.08 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 15.37/11.08 inference(modus_ponens,[status(thm)],[46553, 46546])).
% 15.37/11.08 tff(46555,plain,
% 15.37/11.08 (((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s399)) | (~last(s399)))) <=> ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s399)) | (~last(s399)))),
% 15.37/11.08 inference(rewrite,[status(thm)],[])).
% 15.37/11.08 tff(46556,plain,
% 15.37/11.08 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s399)) | (~last(s399)))),
% 15.37/11.08 inference(quant_inst,[status(thm)],[])).
% 15.37/11.08 tff(46557,plain,
% 15.37/11.08 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s399)) | (~last(s399))),
% 15.37/11.08 inference(modus_ponens,[status(thm)],[46556, 46555])).
% 15.37/11.08 tff(46558,plain,
% 15.37/11.08 (loop | (~always3(s399))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46557, 37542, 46554])).
% 15.37/11.08 tff(46559,plain,
% 15.37/11.08 (~always3(s399)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46558, 46544])).
% 15.37/11.08 tff(46560,plain,
% 15.37/11.08 (~always3(s398)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[37048, 46559])).
% 15.37/11.08 tff(46561,plain,
% 15.37/11.08 (~node4(s398)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[37013, 36, 46560])).
% 15.37/11.08 tff(46562,plain,
% 15.37/11.08 (~node4(s399)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[37031, 36, 46559])).
% 15.37/11.08 tff(46563,plain,
% 15.37/11.08 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 15.37/11.08 inference(bind,[status(th)],[])).
% 15.37/11.08 tff(46564,plain,
% 15.37/11.08 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 15.37/11.08 inference(quant_intro,[status(thm)],[46563])).
% 15.37/11.08 tff(46565,plain,
% 15.37/11.08 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 15.37/11.08 inference(rewrite,[status(thm)],[])).
% 15.37/11.08 tff(46566,plain,
% 15.37/11.08 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 15.37/11.08 inference(bind,[status(th)],[])).
% 15.37/11.08 tff(46567,plain,
% 15.37/11.08 (![X: $i] : ((loop | (~last(X))) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 15.37/11.08 inference(quant_intro,[status(thm)],[46566])).
% 15.37/11.08 tff(46568,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty8')).
% 15.37/11.08 tff(46569,plain,
% 15.37/11.08 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 15.37/11.08 inference(modus_ponens,[status(thm)],[46568, 46567])).
% 15.37/11.08 tff(46570,plain,
% 15.37/11.08 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 15.37/11.08 inference(modus_ponens,[status(thm)],[46569, 46565])).
% 15.37/11.08 tff(46571,plain,(
% 15.37/11.08 ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 15.37/11.08 inference(skolemize,[status(sab)],[46570])).
% 15.37/11.08 tff(46572,plain,
% 15.37/11.08 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 15.37/11.08 inference(modus_ponens,[status(thm)],[46571, 46564])).
% 15.37/11.08 tff(46573,plain,
% 15.37/11.08 (((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s399)) | (~xuntil6(s399)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s399)) | (~xuntil6(s399)))),
% 15.37/11.08 inference(rewrite,[status(thm)],[])).
% 15.37/11.08 tff(46574,plain,
% 15.37/11.08 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s399)) | (~xuntil6(s399)))),
% 15.37/11.08 inference(quant_inst,[status(thm)],[])).
% 15.37/11.08 tff(46575,plain,
% 15.37/11.08 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s399)) | (~xuntil6(s399))),
% 15.37/11.08 inference(modus_ponens,[status(thm)],[46574, 46573])).
% 15.37/11.08 tff(46576,plain,
% 15.37/11.08 (loop | (~xuntil6(s399))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46575, 37542, 46572])).
% 15.37/11.08 tff(46577,plain,
% 15.37/11.08 (~xuntil6(s399)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46576, 46544])).
% 15.37/11.08 tff(46578,plain,
% 15.37/11.08 (~until5(s399)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[37530, 294, 46577, 46562])).
% 15.37/11.08 tff(46579,plain,
% 15.37/11.08 (~xuntil6(s398)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[37523, 46578])).
% 15.37/11.08 tff(46580,plain,
% 15.37/11.08 (~until5(s398)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[37008, 294, 46579, 46561])).
% 15.37/11.08 tff(46581,plain,
% 15.37/11.08 (~xuntil6(s397)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[37001, 46580])).
% 15.37/11.08 tff(46582,plain,
% 15.37/11.08 (~always3(s397)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[36984, 46560])).
% 15.37/11.08 tff(46583,plain,
% 15.37/11.08 (~node4(s397)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[36988, 36, 46582])).
% 15.37/11.08 tff(46584,plain,
% 15.37/11.08 (xuntil6(s397) | (~until5(s397))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[36995, 294, 46583])).
% 15.37/11.08 tff(46585,plain,
% 15.37/11.08 (~until5(s397)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46584, 46581])).
% 15.37/11.08 tff(46586,plain,
% 15.37/11.08 (~xuntil6(s396)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[36969, 46585])).
% 15.37/11.08 tff(46587,plain,
% 15.37/11.08 (~always3(s396)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28775, 46582])).
% 15.37/11.08 tff(46588,plain,
% 15.37/11.08 (~node4(s396)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26219, 36, 46587])).
% 15.37/11.08 tff(46589,plain,
% 15.37/11.08 (xuntil6(s396) | (~until5(s396))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26226, 294, 46588])).
% 15.37/11.08 tff(46590,plain,
% 15.37/11.08 (~until5(s396)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46589, 46586])).
% 15.37/11.08 tff(46591,plain,
% 15.37/11.08 (~xuntil6(s395)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26232, 46590])).
% 15.37/11.08 tff(46592,plain,
% 15.37/11.08 (~always3(s395)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26211, 46587])).
% 15.37/11.08 tff(46593,plain,
% 15.37/11.08 (~node4(s395)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26215, 36, 46592])).
% 15.37/11.08 tff(46594,plain,
% 15.37/11.08 (xuntil6(s395) | (~until5(s395))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26239, 294, 46593])).
% 15.37/11.08 tff(46595,plain,
% 15.37/11.08 (~until5(s395)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46594, 46591])).
% 15.37/11.08 tff(46596,plain,
% 15.37/11.08 (~xuntil6(s394)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26247, 46595])).
% 15.37/11.08 tff(46597,plain,
% 15.37/11.08 (~always3(s394)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26256, 46592])).
% 15.37/11.08 tff(46598,plain,
% 15.37/11.08 (~node4(s394)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26260, 36, 46597])).
% 15.37/11.08 tff(46599,plain,
% 15.37/11.08 (xuntil6(s394) | (~until5(s394))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26267, 294, 46598])).
% 15.37/11.08 tff(46600,plain,
% 15.37/11.08 (~until5(s394)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46599, 46596])).
% 15.37/11.08 tff(46601,plain,
% 15.37/11.08 (~xuntil6(s393)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26276, 46600])).
% 15.37/11.08 tff(46602,plain,
% 15.37/11.08 (~always3(s393)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26285, 46597])).
% 15.37/11.08 tff(46603,plain,
% 15.37/11.08 (~node4(s393)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26289, 36, 46602])).
% 15.37/11.08 tff(46604,plain,
% 15.37/11.08 (xuntil6(s393) | (~until5(s393))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26296, 294, 46603])).
% 15.37/11.08 tff(46605,plain,
% 15.37/11.08 (~until5(s393)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46604, 46601])).
% 15.37/11.08 tff(46606,plain,
% 15.37/11.08 (~xuntil6(s392)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26305, 46605])).
% 15.37/11.08 tff(46607,plain,
% 15.37/11.08 (~always3(s392)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26314, 46602])).
% 15.37/11.08 tff(46608,plain,
% 15.37/11.08 (~node4(s392)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26318, 36, 46607])).
% 15.37/11.08 tff(46609,plain,
% 15.37/11.08 (xuntil6(s392) | (~until5(s392))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26325, 294, 46608])).
% 15.37/11.08 tff(46610,plain,
% 15.37/11.08 (~until5(s392)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46609, 46606])).
% 15.37/11.08 tff(46611,plain,
% 15.37/11.08 (~xuntil6(s391)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26334, 46610])).
% 15.37/11.08 tff(46612,plain,
% 15.37/11.08 (~always3(s391)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26343, 46607])).
% 15.37/11.08 tff(46613,plain,
% 15.37/11.08 (~node4(s391)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26347, 36, 46612])).
% 15.37/11.08 tff(46614,plain,
% 15.37/11.08 (xuntil6(s391) | (~until5(s391))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26354, 294, 46613])).
% 15.37/11.08 tff(46615,plain,
% 15.37/11.08 (~until5(s391)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46614, 46611])).
% 15.37/11.08 tff(46616,plain,
% 15.37/11.08 (~xuntil6(s390)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26363, 46615])).
% 15.37/11.08 tff(46617,plain,
% 15.37/11.08 (~always3(s390)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26372, 46612])).
% 15.37/11.08 tff(46618,plain,
% 15.37/11.08 (~node4(s390)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26376, 36, 46617])).
% 15.37/11.08 tff(46619,plain,
% 15.37/11.08 (xuntil6(s390) | (~until5(s390))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26383, 294, 46618])).
% 15.37/11.08 tff(46620,plain,
% 15.37/11.08 (~until5(s390)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46619, 46616])).
% 15.37/11.08 tff(46621,plain,
% 15.37/11.08 (~xuntil6(s389)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26392, 46620])).
% 15.37/11.08 tff(46622,plain,
% 15.37/11.08 (~always3(s389)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26401, 46617])).
% 15.37/11.08 tff(46623,plain,
% 15.37/11.08 (~node4(s389)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26405, 36, 46622])).
% 15.37/11.08 tff(46624,plain,
% 15.37/11.08 (xuntil6(s389) | (~until5(s389))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26412, 294, 46623])).
% 15.37/11.08 tff(46625,plain,
% 15.37/11.08 (~until5(s389)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46624, 46621])).
% 15.37/11.08 tff(46626,plain,
% 15.37/11.08 (~xuntil6(s388)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26421, 46625])).
% 15.37/11.08 tff(46627,plain,
% 15.37/11.08 (~always3(s388)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26430, 46622])).
% 15.37/11.08 tff(46628,plain,
% 15.37/11.08 (~node4(s388)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26434, 36, 46627])).
% 15.37/11.08 tff(46629,plain,
% 15.37/11.08 (xuntil6(s388) | (~until5(s388))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26441, 294, 46628])).
% 15.37/11.08 tff(46630,plain,
% 15.37/11.08 (~until5(s388)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46629, 46626])).
% 15.37/11.08 tff(46631,plain,
% 15.37/11.08 (~xuntil6(s387)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26450, 46630])).
% 15.37/11.08 tff(46632,plain,
% 15.37/11.08 (~always3(s387)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26459, 46627])).
% 15.37/11.08 tff(46633,plain,
% 15.37/11.08 (~node4(s387)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26463, 36, 46632])).
% 15.37/11.08 tff(46634,plain,
% 15.37/11.08 (xuntil6(s387) | (~until5(s387))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26470, 294, 46633])).
% 15.37/11.08 tff(46635,plain,
% 15.37/11.08 (~until5(s387)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46634, 46631])).
% 15.37/11.08 tff(46636,plain,
% 15.37/11.08 (~xuntil6(s386)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26479, 46635])).
% 15.37/11.08 tff(46637,plain,
% 15.37/11.08 (~always3(s386)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26488, 46632])).
% 15.37/11.08 tff(46638,plain,
% 15.37/11.08 (~node4(s386)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26492, 36, 46637])).
% 15.37/11.08 tff(46639,plain,
% 15.37/11.08 (xuntil6(s386) | (~until5(s386))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26499, 294, 46638])).
% 15.37/11.08 tff(46640,plain,
% 15.37/11.08 (~until5(s386)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46639, 46636])).
% 15.37/11.08 tff(46641,plain,
% 15.37/11.08 (~xuntil6(s385)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26508, 46640])).
% 15.37/11.08 tff(46642,plain,
% 15.37/11.08 (~always3(s385)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26517, 46637])).
% 15.37/11.08 tff(46643,plain,
% 15.37/11.08 (~node4(s385)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26521, 36, 46642])).
% 15.37/11.08 tff(46644,plain,
% 15.37/11.08 (xuntil6(s385) | (~until5(s385))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26528, 294, 46643])).
% 15.37/11.08 tff(46645,plain,
% 15.37/11.08 (~until5(s385)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46644, 46641])).
% 15.37/11.08 tff(46646,plain,
% 15.37/11.08 (~xuntil6(s384)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26537, 46645])).
% 15.37/11.08 tff(46647,plain,
% 15.37/11.08 (~always3(s384)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26546, 46642])).
% 15.37/11.08 tff(46648,plain,
% 15.37/11.08 (~node4(s384)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26550, 36, 46647])).
% 15.37/11.08 tff(46649,plain,
% 15.37/11.08 (xuntil6(s384) | (~until5(s384))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26557, 294, 46648])).
% 15.37/11.08 tff(46650,plain,
% 15.37/11.08 (~until5(s384)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46649, 46646])).
% 15.37/11.08 tff(46651,plain,
% 15.37/11.08 (~xuntil6(s383)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26566, 46650])).
% 15.37/11.08 tff(46652,plain,
% 15.37/11.08 (~always3(s383)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26575, 46647])).
% 15.37/11.08 tff(46653,plain,
% 15.37/11.08 (~node4(s383)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26579, 36, 46652])).
% 15.37/11.08 tff(46654,plain,
% 15.37/11.08 (xuntil6(s383) | (~until5(s383))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26586, 294, 46653])).
% 15.37/11.08 tff(46655,plain,
% 15.37/11.08 (~until5(s383)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46654, 46651])).
% 15.37/11.08 tff(46656,plain,
% 15.37/11.08 (~xuntil6(s382)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26595, 46655])).
% 15.37/11.08 tff(46657,plain,
% 15.37/11.08 (~always3(s382)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26604, 46652])).
% 15.37/11.08 tff(46658,plain,
% 15.37/11.08 (~node4(s382)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26608, 36, 46657])).
% 15.37/11.08 tff(46659,plain,
% 15.37/11.08 (xuntil6(s382) | (~until5(s382))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26615, 294, 46658])).
% 15.37/11.08 tff(46660,plain,
% 15.37/11.08 (~until5(s382)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46659, 46656])).
% 15.37/11.08 tff(46661,plain,
% 15.37/11.08 (~xuntil6(s381)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26624, 46660])).
% 15.37/11.08 tff(46662,plain,
% 15.37/11.08 (~always3(s381)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26633, 46657])).
% 15.37/11.08 tff(46663,plain,
% 15.37/11.08 (~node4(s381)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26637, 36, 46662])).
% 15.37/11.08 tff(46664,plain,
% 15.37/11.08 (xuntil6(s381) | (~until5(s381))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26644, 294, 46663])).
% 15.37/11.08 tff(46665,plain,
% 15.37/11.08 (~until5(s381)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46664, 46661])).
% 15.37/11.08 tff(46666,plain,
% 15.37/11.08 (~xuntil6(s380)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26653, 46665])).
% 15.37/11.08 tff(46667,plain,
% 15.37/11.08 (~always3(s380)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26662, 46662])).
% 15.37/11.08 tff(46668,plain,
% 15.37/11.08 (~node4(s380)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26666, 36, 46667])).
% 15.37/11.08 tff(46669,plain,
% 15.37/11.08 (xuntil6(s380) | (~until5(s380))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26673, 294, 46668])).
% 15.37/11.08 tff(46670,plain,
% 15.37/11.08 (~until5(s380)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46669, 46666])).
% 15.37/11.08 tff(46671,plain,
% 15.37/11.08 (~xuntil6(s379)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26682, 46670])).
% 15.37/11.08 tff(46672,plain,
% 15.37/11.08 (~always3(s379)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26691, 46667])).
% 15.37/11.08 tff(46673,plain,
% 15.37/11.08 (~node4(s379)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26695, 36, 46672])).
% 15.37/11.08 tff(46674,plain,
% 15.37/11.08 (xuntil6(s379) | (~until5(s379))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26702, 294, 46673])).
% 15.37/11.08 tff(46675,plain,
% 15.37/11.08 (~until5(s379)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46674, 46671])).
% 15.37/11.08 tff(46676,plain,
% 15.37/11.08 (~xuntil6(s378)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26711, 46675])).
% 15.37/11.08 tff(46677,plain,
% 15.37/11.08 (~always3(s378)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26720, 46672])).
% 15.37/11.08 tff(46678,plain,
% 15.37/11.08 (~node4(s378)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26724, 36, 46677])).
% 15.37/11.08 tff(46679,plain,
% 15.37/11.08 (xuntil6(s378) | (~until5(s378))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26731, 294, 46678])).
% 15.37/11.08 tff(46680,plain,
% 15.37/11.08 (~until5(s378)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46679, 46676])).
% 15.37/11.08 tff(46681,plain,
% 15.37/11.08 (~xuntil6(s377)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26740, 46680])).
% 15.37/11.08 tff(46682,plain,
% 15.37/11.08 (~always3(s377)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26749, 46677])).
% 15.37/11.08 tff(46683,plain,
% 15.37/11.08 (~node4(s377)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26753, 36, 46682])).
% 15.37/11.08 tff(46684,plain,
% 15.37/11.08 (xuntil6(s377) | (~until5(s377))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26760, 294, 46683])).
% 15.37/11.08 tff(46685,plain,
% 15.37/11.08 (~until5(s377)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46684, 46681])).
% 15.37/11.08 tff(46686,plain,
% 15.37/11.08 (~xuntil6(s376)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26769, 46685])).
% 15.37/11.08 tff(46687,plain,
% 15.37/11.08 (~always3(s376)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26778, 46682])).
% 15.37/11.08 tff(46688,plain,
% 15.37/11.08 (~node4(s376)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26782, 36, 46687])).
% 15.37/11.08 tff(46689,plain,
% 15.37/11.08 (xuntil6(s376) | (~until5(s376))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26789, 294, 46688])).
% 15.37/11.08 tff(46690,plain,
% 15.37/11.08 (~until5(s376)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46689, 46686])).
% 15.37/11.08 tff(46691,plain,
% 15.37/11.08 (~xuntil6(s375)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26798, 46690])).
% 15.37/11.08 tff(46692,plain,
% 15.37/11.08 (~always3(s375)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26807, 46687])).
% 15.37/11.08 tff(46693,plain,
% 15.37/11.08 (~node4(s375)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26811, 36, 46692])).
% 15.37/11.08 tff(46694,plain,
% 15.37/11.08 (xuntil6(s375) | (~until5(s375))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26818, 294, 46693])).
% 15.37/11.08 tff(46695,plain,
% 15.37/11.08 (~until5(s375)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46694, 46691])).
% 15.37/11.08 tff(46696,plain,
% 15.37/11.08 (~xuntil6(s374)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26827, 46695])).
% 15.37/11.08 tff(46697,plain,
% 15.37/11.08 (~always3(s374)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26836, 46692])).
% 15.37/11.08 tff(46698,plain,
% 15.37/11.08 (~node4(s374)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26840, 36, 46697])).
% 15.37/11.08 tff(46699,plain,
% 15.37/11.08 (xuntil6(s374) | (~until5(s374))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26847, 294, 46698])).
% 15.37/11.08 tff(46700,plain,
% 15.37/11.08 (~until5(s374)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46699, 46696])).
% 15.37/11.08 tff(46701,plain,
% 15.37/11.08 (~xuntil6(s373)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26856, 46700])).
% 15.37/11.08 tff(46702,plain,
% 15.37/11.08 (~always3(s373)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26865, 46697])).
% 15.37/11.08 tff(46703,plain,
% 15.37/11.08 (~node4(s373)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26869, 36, 46702])).
% 15.37/11.08 tff(46704,plain,
% 15.37/11.08 (xuntil6(s373) | (~until5(s373))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26876, 294, 46703])).
% 15.37/11.08 tff(46705,plain,
% 15.37/11.08 (~until5(s373)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46704, 46701])).
% 15.37/11.08 tff(46706,plain,
% 15.37/11.08 (~xuntil6(s372)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26885, 46705])).
% 15.37/11.08 tff(46707,plain,
% 15.37/11.08 (~always3(s372)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26894, 46702])).
% 15.37/11.08 tff(46708,plain,
% 15.37/11.08 (~node4(s372)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26898, 36, 46707])).
% 15.37/11.08 tff(46709,plain,
% 15.37/11.08 (xuntil6(s372) | (~until5(s372))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26905, 294, 46708])).
% 15.37/11.08 tff(46710,plain,
% 15.37/11.08 (~until5(s372)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46709, 46706])).
% 15.37/11.08 tff(46711,plain,
% 15.37/11.08 (~xuntil6(s371)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26914, 46710])).
% 15.37/11.08 tff(46712,plain,
% 15.37/11.08 (~always3(s371)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26923, 46707])).
% 15.37/11.08 tff(46713,plain,
% 15.37/11.08 (~node4(s371)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26927, 36, 46712])).
% 15.37/11.08 tff(46714,plain,
% 15.37/11.08 (xuntil6(s371) | (~until5(s371))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26934, 294, 46713])).
% 15.37/11.08 tff(46715,plain,
% 15.37/11.08 (~until5(s371)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46714, 46711])).
% 15.37/11.08 tff(46716,plain,
% 15.37/11.08 (~xuntil6(s370)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26943, 46715])).
% 15.37/11.08 tff(46717,plain,
% 15.37/11.08 (~always3(s370)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26952, 46712])).
% 15.37/11.08 tff(46718,plain,
% 15.37/11.08 (~node4(s370)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26956, 36, 46717])).
% 15.37/11.08 tff(46719,plain,
% 15.37/11.08 (xuntil6(s370) | (~until5(s370))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26963, 294, 46718])).
% 15.37/11.08 tff(46720,plain,
% 15.37/11.08 (~until5(s370)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46719, 46716])).
% 15.37/11.08 tff(46721,plain,
% 15.37/11.08 (~xuntil6(s369)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26972, 46720])).
% 15.37/11.08 tff(46722,plain,
% 15.37/11.08 (~always3(s369)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26981, 46717])).
% 15.37/11.08 tff(46723,plain,
% 15.37/11.08 (~node4(s369)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26985, 36, 46722])).
% 15.37/11.08 tff(46724,plain,
% 15.37/11.08 (xuntil6(s369) | (~until5(s369))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[26992, 294, 46723])).
% 15.37/11.08 tff(46725,plain,
% 15.37/11.08 (~until5(s369)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46724, 46721])).
% 15.37/11.08 tff(46726,plain,
% 15.37/11.08 (~xuntil6(s368)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27001, 46725])).
% 15.37/11.08 tff(46727,plain,
% 15.37/11.08 (~always3(s368)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27010, 46722])).
% 15.37/11.08 tff(46728,plain,
% 15.37/11.08 (~node4(s368)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27014, 36, 46727])).
% 15.37/11.08 tff(46729,plain,
% 15.37/11.08 (xuntil6(s368) | (~until5(s368))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27021, 294, 46728])).
% 15.37/11.08 tff(46730,plain,
% 15.37/11.08 (~until5(s368)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46729, 46726])).
% 15.37/11.08 tff(46731,plain,
% 15.37/11.08 (~xuntil6(s367)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27030, 46730])).
% 15.37/11.08 tff(46732,plain,
% 15.37/11.08 (~always3(s367)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27039, 46727])).
% 15.37/11.08 tff(46733,plain,
% 15.37/11.08 (~node4(s367)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27043, 36, 46732])).
% 15.37/11.08 tff(46734,plain,
% 15.37/11.08 (xuntil6(s367) | (~until5(s367))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27050, 294, 46733])).
% 15.37/11.08 tff(46735,plain,
% 15.37/11.08 (~until5(s367)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46734, 46731])).
% 15.37/11.08 tff(46736,plain,
% 15.37/11.08 (~xuntil6(s366)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27059, 46735])).
% 15.37/11.08 tff(46737,plain,
% 15.37/11.08 (~always3(s366)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27068, 46732])).
% 15.37/11.08 tff(46738,plain,
% 15.37/11.08 (~node4(s366)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27072, 36, 46737])).
% 15.37/11.08 tff(46739,plain,
% 15.37/11.08 (xuntil6(s366) | (~until5(s366))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27079, 294, 46738])).
% 15.37/11.08 tff(46740,plain,
% 15.37/11.08 (~until5(s366)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46739, 46736])).
% 15.37/11.08 tff(46741,plain,
% 15.37/11.08 (~xuntil6(s365)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27088, 46740])).
% 15.37/11.08 tff(46742,plain,
% 15.37/11.08 (~always3(s365)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27097, 46737])).
% 15.37/11.08 tff(46743,plain,
% 15.37/11.08 (~node4(s365)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27101, 36, 46742])).
% 15.37/11.08 tff(46744,plain,
% 15.37/11.08 (xuntil6(s365) | (~until5(s365))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27108, 294, 46743])).
% 15.37/11.08 tff(46745,plain,
% 15.37/11.08 (~until5(s365)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46744, 46741])).
% 15.37/11.08 tff(46746,plain,
% 15.37/11.08 (~xuntil6(s364)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27117, 46745])).
% 15.37/11.08 tff(46747,plain,
% 15.37/11.08 (~always3(s364)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27126, 46742])).
% 15.37/11.08 tff(46748,plain,
% 15.37/11.08 (~node4(s364)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27130, 36, 46747])).
% 15.37/11.08 tff(46749,plain,
% 15.37/11.08 (xuntil6(s364) | (~until5(s364))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27137, 294, 46748])).
% 15.37/11.08 tff(46750,plain,
% 15.37/11.08 (~until5(s364)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46749, 46746])).
% 15.37/11.08 tff(46751,plain,
% 15.37/11.08 (~xuntil6(s363)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27146, 46750])).
% 15.37/11.08 tff(46752,plain,
% 15.37/11.08 (~always3(s363)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27155, 46747])).
% 15.37/11.08 tff(46753,plain,
% 15.37/11.08 (~node4(s363)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27159, 36, 46752])).
% 15.37/11.08 tff(46754,plain,
% 15.37/11.08 (xuntil6(s363) | (~until5(s363))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27166, 294, 46753])).
% 15.37/11.08 tff(46755,plain,
% 15.37/11.08 (~until5(s363)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46754, 46751])).
% 15.37/11.08 tff(46756,plain,
% 15.37/11.08 (~xuntil6(s362)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27175, 46755])).
% 15.37/11.08 tff(46757,plain,
% 15.37/11.08 (~always3(s362)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27184, 46752])).
% 15.37/11.08 tff(46758,plain,
% 15.37/11.08 (~node4(s362)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27188, 36, 46757])).
% 15.37/11.08 tff(46759,plain,
% 15.37/11.08 (xuntil6(s362) | (~until5(s362))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27195, 294, 46758])).
% 15.37/11.08 tff(46760,plain,
% 15.37/11.08 (~until5(s362)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46759, 46756])).
% 15.37/11.08 tff(46761,plain,
% 15.37/11.08 (~xuntil6(s361)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27204, 46760])).
% 15.37/11.08 tff(46762,plain,
% 15.37/11.08 (~always3(s361)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27213, 46757])).
% 15.37/11.08 tff(46763,plain,
% 15.37/11.08 (~node4(s361)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27217, 36, 46762])).
% 15.37/11.08 tff(46764,plain,
% 15.37/11.08 (xuntil6(s361) | (~until5(s361))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27224, 294, 46763])).
% 15.37/11.08 tff(46765,plain,
% 15.37/11.08 (~until5(s361)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46764, 46761])).
% 15.37/11.08 tff(46766,plain,
% 15.37/11.08 (~xuntil6(s360)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27233, 46765])).
% 15.37/11.08 tff(46767,plain,
% 15.37/11.08 (~always3(s360)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27242, 46762])).
% 15.37/11.08 tff(46768,plain,
% 15.37/11.08 (~node4(s360)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27246, 36, 46767])).
% 15.37/11.08 tff(46769,plain,
% 15.37/11.08 (xuntil6(s360) | (~until5(s360))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27253, 294, 46768])).
% 15.37/11.08 tff(46770,plain,
% 15.37/11.08 (~until5(s360)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46769, 46766])).
% 15.37/11.08 tff(46771,plain,
% 15.37/11.08 (~xuntil6(s359)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27262, 46770])).
% 15.37/11.08 tff(46772,plain,
% 15.37/11.08 (~always3(s359)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27271, 46767])).
% 15.37/11.08 tff(46773,plain,
% 15.37/11.08 (~node4(s359)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27275, 36, 46772])).
% 15.37/11.08 tff(46774,plain,
% 15.37/11.08 (xuntil6(s359) | (~until5(s359))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27282, 294, 46773])).
% 15.37/11.08 tff(46775,plain,
% 15.37/11.08 (~until5(s359)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46774, 46771])).
% 15.37/11.08 tff(46776,plain,
% 15.37/11.08 (~xuntil6(s358)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27291, 46775])).
% 15.37/11.08 tff(46777,plain,
% 15.37/11.08 (~always3(s358)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27300, 46772])).
% 15.37/11.08 tff(46778,plain,
% 15.37/11.08 (~node4(s358)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27304, 36, 46777])).
% 15.37/11.08 tff(46779,plain,
% 15.37/11.08 (xuntil6(s358) | (~until5(s358))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27311, 294, 46778])).
% 15.37/11.08 tff(46780,plain,
% 15.37/11.08 (~until5(s358)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46779, 46776])).
% 15.37/11.08 tff(46781,plain,
% 15.37/11.08 (~xuntil6(s357)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27320, 46780])).
% 15.37/11.08 tff(46782,plain,
% 15.37/11.08 (~always3(s357)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27329, 46777])).
% 15.37/11.08 tff(46783,plain,
% 15.37/11.08 (~node4(s357)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27333, 36, 46782])).
% 15.37/11.08 tff(46784,plain,
% 15.37/11.08 (xuntil6(s357) | (~until5(s357))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27340, 294, 46783])).
% 15.37/11.08 tff(46785,plain,
% 15.37/11.08 (~until5(s357)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46784, 46781])).
% 15.37/11.08 tff(46786,plain,
% 15.37/11.08 (~xuntil6(s356)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27349, 46785])).
% 15.37/11.08 tff(46787,plain,
% 15.37/11.08 (~always3(s356)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27358, 46782])).
% 15.37/11.08 tff(46788,plain,
% 15.37/11.08 (~node4(s356)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27362, 36, 46787])).
% 15.37/11.08 tff(46789,plain,
% 15.37/11.08 (xuntil6(s356) | (~until5(s356))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27369, 294, 46788])).
% 15.37/11.08 tff(46790,plain,
% 15.37/11.08 (~until5(s356)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46789, 46786])).
% 15.37/11.08 tff(46791,plain,
% 15.37/11.08 (~xuntil6(s355)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27378, 46790])).
% 15.37/11.08 tff(46792,plain,
% 15.37/11.08 (~always3(s355)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27387, 46787])).
% 15.37/11.08 tff(46793,plain,
% 15.37/11.08 (~node4(s355)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27391, 36, 46792])).
% 15.37/11.08 tff(46794,plain,
% 15.37/11.08 (xuntil6(s355) | (~until5(s355))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27398, 294, 46793])).
% 15.37/11.08 tff(46795,plain,
% 15.37/11.08 (~until5(s355)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46794, 46791])).
% 15.37/11.08 tff(46796,plain,
% 15.37/11.08 (~xuntil6(s354)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27407, 46795])).
% 15.37/11.08 tff(46797,plain,
% 15.37/11.08 (~always3(s354)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27416, 46792])).
% 15.37/11.08 tff(46798,plain,
% 15.37/11.08 (~node4(s354)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27420, 36, 46797])).
% 15.37/11.08 tff(46799,plain,
% 15.37/11.08 (xuntil6(s354) | (~until5(s354))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27427, 294, 46798])).
% 15.37/11.08 tff(46800,plain,
% 15.37/11.08 (~until5(s354)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46799, 46796])).
% 15.37/11.08 tff(46801,plain,
% 15.37/11.08 (~xuntil6(s353)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27436, 46800])).
% 15.37/11.08 tff(46802,plain,
% 15.37/11.08 (~always3(s353)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27445, 46797])).
% 15.37/11.08 tff(46803,plain,
% 15.37/11.08 (~node4(s353)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27449, 36, 46802])).
% 15.37/11.08 tff(46804,plain,
% 15.37/11.08 (xuntil6(s353) | (~until5(s353))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27456, 294, 46803])).
% 15.37/11.08 tff(46805,plain,
% 15.37/11.08 (~until5(s353)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46804, 46801])).
% 15.37/11.08 tff(46806,plain,
% 15.37/11.08 (~xuntil6(s352)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27465, 46805])).
% 15.37/11.08 tff(46807,plain,
% 15.37/11.08 (~always3(s352)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27474, 46802])).
% 15.37/11.08 tff(46808,plain,
% 15.37/11.08 (~node4(s352)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28753, 36, 46807])).
% 15.37/11.08 tff(46809,plain,
% 15.37/11.08 (xuntil6(s352) | (~until5(s352))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28760, 294, 46808])).
% 15.37/11.08 tff(46810,plain,
% 15.37/11.08 (~until5(s352)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46809, 46806])).
% 15.37/11.08 tff(46811,plain,
% 15.37/11.08 (~xuntil6(s351)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28749, 46810])).
% 15.37/11.08 tff(46812,plain,
% 15.37/11.08 (~always3(s351)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27486, 46807])).
% 15.37/11.08 tff(46813,plain,
% 15.37/11.08 (~node4(s351)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28736, 36, 46812])).
% 15.37/11.08 tff(46814,plain,
% 15.37/11.08 (xuntil6(s351) | (~until5(s351))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28743, 294, 46813])).
% 15.37/11.08 tff(46815,plain,
% 15.37/11.08 (~until5(s351)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46814, 46811])).
% 15.37/11.08 tff(46816,plain,
% 15.37/11.08 (~xuntil6(s350)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28732, 46815])).
% 15.37/11.08 tff(46817,plain,
% 15.37/11.08 (~always3(s350)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27498, 46812])).
% 15.37/11.08 tff(46818,plain,
% 15.37/11.08 (~node4(s350)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28719, 36, 46817])).
% 15.37/11.08 tff(46819,plain,
% 15.37/11.08 (xuntil6(s350) | (~until5(s350))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28726, 294, 46818])).
% 15.37/11.08 tff(46820,plain,
% 15.37/11.08 (~until5(s350)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46819, 46816])).
% 15.37/11.08 tff(46821,plain,
% 15.37/11.08 (~xuntil6(s349)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28715, 46820])).
% 15.37/11.08 tff(46822,plain,
% 15.37/11.08 (~always3(s349)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27510, 46817])).
% 15.37/11.08 tff(46823,plain,
% 15.37/11.08 (~node4(s349)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28702, 36, 46822])).
% 15.37/11.08 tff(46824,plain,
% 15.37/11.08 (xuntil6(s349) | (~until5(s349))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28709, 294, 46823])).
% 15.37/11.08 tff(46825,plain,
% 15.37/11.08 (~until5(s349)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46824, 46821])).
% 15.37/11.08 tff(46826,plain,
% 15.37/11.08 (~xuntil6(s348)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28698, 46825])).
% 15.37/11.08 tff(46827,plain,
% 15.37/11.08 (~always3(s348)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27522, 46822])).
% 15.37/11.08 tff(46828,plain,
% 15.37/11.08 (~node4(s348)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28685, 36, 46827])).
% 15.37/11.08 tff(46829,plain,
% 15.37/11.08 (xuntil6(s348) | (~until5(s348))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28692, 294, 46828])).
% 15.37/11.08 tff(46830,plain,
% 15.37/11.08 (~until5(s348)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46829, 46826])).
% 15.37/11.08 tff(46831,plain,
% 15.37/11.08 (~xuntil6(s347)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28681, 46830])).
% 15.37/11.08 tff(46832,plain,
% 15.37/11.08 (~always3(s347)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27534, 46827])).
% 15.37/11.08 tff(46833,plain,
% 15.37/11.08 (~node4(s347)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28668, 36, 46832])).
% 15.37/11.08 tff(46834,plain,
% 15.37/11.08 (xuntil6(s347) | (~until5(s347))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28675, 294, 46833])).
% 15.37/11.08 tff(46835,plain,
% 15.37/11.08 (~until5(s347)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46834, 46831])).
% 15.37/11.08 tff(46836,plain,
% 15.37/11.08 (~xuntil6(s346)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28664, 46835])).
% 15.37/11.08 tff(46837,plain,
% 15.37/11.08 (~always3(s346)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27546, 46832])).
% 15.37/11.08 tff(46838,plain,
% 15.37/11.08 (~node4(s346)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28651, 36, 46837])).
% 15.37/11.08 tff(46839,plain,
% 15.37/11.08 (xuntil6(s346) | (~until5(s346))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28658, 294, 46838])).
% 15.37/11.08 tff(46840,plain,
% 15.37/11.08 (~until5(s346)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46839, 46836])).
% 15.37/11.08 tff(46841,plain,
% 15.37/11.08 (~xuntil6(s345)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28647, 46840])).
% 15.37/11.08 tff(46842,plain,
% 15.37/11.08 (~always3(s345)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27558, 46837])).
% 15.37/11.08 tff(46843,plain,
% 15.37/11.08 (~node4(s345)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28634, 36, 46842])).
% 15.37/11.08 tff(46844,plain,
% 15.37/11.08 (xuntil6(s345) | (~until5(s345))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28641, 294, 46843])).
% 15.37/11.08 tff(46845,plain,
% 15.37/11.08 (~until5(s345)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46844, 46841])).
% 15.37/11.08 tff(46846,plain,
% 15.37/11.08 (~xuntil6(s344)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28630, 46845])).
% 15.37/11.08 tff(46847,plain,
% 15.37/11.08 (~always3(s344)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27570, 46842])).
% 15.37/11.08 tff(46848,plain,
% 15.37/11.08 (~node4(s344)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28617, 36, 46847])).
% 15.37/11.08 tff(46849,plain,
% 15.37/11.08 (xuntil6(s344) | (~until5(s344))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28624, 294, 46848])).
% 15.37/11.08 tff(46850,plain,
% 15.37/11.08 (~until5(s344)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46849, 46846])).
% 15.37/11.08 tff(46851,plain,
% 15.37/11.08 (~xuntil6(s343)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28613, 46850])).
% 15.37/11.08 tff(46852,plain,
% 15.37/11.08 (~always3(s343)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27582, 46847])).
% 15.37/11.08 tff(46853,plain,
% 15.37/11.08 (~node4(s343)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28600, 36, 46852])).
% 15.37/11.08 tff(46854,plain,
% 15.37/11.08 (xuntil6(s343) | (~until5(s343))),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28607, 294, 46853])).
% 15.37/11.08 tff(46855,plain,
% 15.37/11.08 (~until5(s343)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[46854, 46851])).
% 15.37/11.08 tff(46856,plain,
% 15.37/11.08 (~xuntil6(s342)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[28596, 46855])).
% 15.37/11.08 tff(46857,plain,
% 15.37/11.08 (~always3(s342)),
% 15.37/11.08 inference(unit_resolution,[status(thm)],[27594, 46852])).
% 15.37/11.09 tff(46858,plain,
% 15.37/11.09 (~node4(s342)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28583, 36, 46857])).
% 15.37/11.09 tff(46859,plain,
% 15.37/11.09 (xuntil6(s342) | (~until5(s342))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28590, 294, 46858])).
% 15.37/11.09 tff(46860,plain,
% 15.37/11.09 (~until5(s342)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46859, 46856])).
% 15.37/11.09 tff(46861,plain,
% 15.37/11.09 (~xuntil6(s341)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28579, 46860])).
% 15.37/11.09 tff(46862,plain,
% 15.37/11.09 (~always3(s341)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27606, 46857])).
% 15.37/11.09 tff(46863,plain,
% 15.37/11.09 (~node4(s341)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28566, 36, 46862])).
% 15.37/11.09 tff(46864,plain,
% 15.37/11.09 (xuntil6(s341) | (~until5(s341))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28573, 294, 46863])).
% 15.37/11.09 tff(46865,plain,
% 15.37/11.09 (~until5(s341)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46864, 46861])).
% 15.37/11.09 tff(46866,plain,
% 15.37/11.09 (~xuntil6(s340)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28562, 46865])).
% 15.37/11.09 tff(46867,plain,
% 15.37/11.09 (~always3(s340)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27618, 46862])).
% 15.37/11.09 tff(46868,plain,
% 15.37/11.09 (~node4(s340)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28549, 36, 46867])).
% 15.37/11.09 tff(46869,plain,
% 15.37/11.09 (xuntil6(s340) | (~until5(s340))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28556, 294, 46868])).
% 15.37/11.09 tff(46870,plain,
% 15.37/11.09 (~until5(s340)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46869, 46866])).
% 15.37/11.09 tff(46871,plain,
% 15.37/11.09 (~xuntil6(s339)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28545, 46870])).
% 15.37/11.09 tff(46872,plain,
% 15.37/11.09 (~always3(s339)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27630, 46867])).
% 15.37/11.09 tff(46873,plain,
% 15.37/11.09 (~node4(s339)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28532, 36, 46872])).
% 15.37/11.09 tff(46874,plain,
% 15.37/11.09 (xuntil6(s339) | (~until5(s339))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28539, 294, 46873])).
% 15.37/11.09 tff(46875,plain,
% 15.37/11.09 (~until5(s339)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46874, 46871])).
% 15.37/11.09 tff(46876,plain,
% 15.37/11.09 (~xuntil6(s338)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28528, 46875])).
% 15.37/11.09 tff(46877,plain,
% 15.37/11.09 (~always3(s338)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27642, 46872])).
% 15.37/11.09 tff(46878,plain,
% 15.37/11.09 (~node4(s338)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28515, 36, 46877])).
% 15.37/11.09 tff(46879,plain,
% 15.37/11.09 (xuntil6(s338) | (~until5(s338))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28522, 294, 46878])).
% 15.37/11.09 tff(46880,plain,
% 15.37/11.09 (~until5(s338)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46879, 46876])).
% 15.37/11.09 tff(46881,plain,
% 15.37/11.09 (~xuntil6(s337)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28511, 46880])).
% 15.37/11.09 tff(46882,plain,
% 15.37/11.09 (~always3(s337)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27654, 46877])).
% 15.37/11.09 tff(46883,plain,
% 15.37/11.09 (~node4(s337)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28498, 36, 46882])).
% 15.37/11.09 tff(46884,plain,
% 15.37/11.09 (xuntil6(s337) | (~until5(s337))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28505, 294, 46883])).
% 15.37/11.09 tff(46885,plain,
% 15.37/11.09 (~until5(s337)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46884, 46881])).
% 15.37/11.09 tff(46886,plain,
% 15.37/11.09 (~xuntil6(s336)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28494, 46885])).
% 15.37/11.09 tff(46887,plain,
% 15.37/11.09 (~always3(s336)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27666, 46882])).
% 15.37/11.09 tff(46888,plain,
% 15.37/11.09 (~node4(s336)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28481, 36, 46887])).
% 15.37/11.09 tff(46889,plain,
% 15.37/11.09 (xuntil6(s336) | (~until5(s336))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28488, 294, 46888])).
% 15.37/11.09 tff(46890,plain,
% 15.37/11.09 (~until5(s336)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46889, 46886])).
% 15.37/11.09 tff(46891,plain,
% 15.37/11.09 (~xuntil6(s335)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28477, 46890])).
% 15.37/11.09 tff(46892,plain,
% 15.37/11.09 (~always3(s335)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27678, 46887])).
% 15.37/11.09 tff(46893,plain,
% 15.37/11.09 (~node4(s335)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28464, 36, 46892])).
% 15.37/11.09 tff(46894,plain,
% 15.37/11.09 (xuntil6(s335) | (~until5(s335))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28471, 294, 46893])).
% 15.37/11.09 tff(46895,plain,
% 15.37/11.09 (~until5(s335)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46894, 46891])).
% 15.37/11.09 tff(46896,plain,
% 15.37/11.09 (~xuntil6(s334)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28460, 46895])).
% 15.37/11.09 tff(46897,plain,
% 15.37/11.09 (~always3(s334)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27690, 46892])).
% 15.37/11.09 tff(46898,plain,
% 15.37/11.09 (~node4(s334)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28447, 36, 46897])).
% 15.37/11.09 tff(46899,plain,
% 15.37/11.09 (xuntil6(s334) | (~until5(s334))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28454, 294, 46898])).
% 15.37/11.09 tff(46900,plain,
% 15.37/11.09 (~until5(s334)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46899, 46896])).
% 15.37/11.09 tff(46901,plain,
% 15.37/11.09 (~xuntil6(s333)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28443, 46900])).
% 15.37/11.09 tff(46902,plain,
% 15.37/11.09 (~always3(s333)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27702, 46897])).
% 15.37/11.09 tff(46903,plain,
% 15.37/11.09 (~node4(s333)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28430, 36, 46902])).
% 15.37/11.09 tff(46904,plain,
% 15.37/11.09 (xuntil6(s333) | (~until5(s333))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28437, 294, 46903])).
% 15.37/11.09 tff(46905,plain,
% 15.37/11.09 (~until5(s333)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46904, 46901])).
% 15.37/11.09 tff(46906,plain,
% 15.37/11.09 (~xuntil6(s332)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28426, 46905])).
% 15.37/11.09 tff(46907,plain,
% 15.37/11.09 (~always3(s332)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27714, 46902])).
% 15.37/11.09 tff(46908,plain,
% 15.37/11.09 (~node4(s332)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28413, 36, 46907])).
% 15.37/11.09 tff(46909,plain,
% 15.37/11.09 (xuntil6(s332) | (~until5(s332))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28420, 294, 46908])).
% 15.37/11.09 tff(46910,plain,
% 15.37/11.09 (~until5(s332)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46909, 46906])).
% 15.37/11.09 tff(46911,plain,
% 15.37/11.09 (~xuntil6(s331)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28409, 46910])).
% 15.37/11.09 tff(46912,plain,
% 15.37/11.09 (~always3(s331)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27726, 46907])).
% 15.37/11.09 tff(46913,plain,
% 15.37/11.09 (~node4(s331)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28396, 36, 46912])).
% 15.37/11.09 tff(46914,plain,
% 15.37/11.09 (xuntil6(s331) | (~until5(s331))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28403, 294, 46913])).
% 15.37/11.09 tff(46915,plain,
% 15.37/11.09 (~until5(s331)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46914, 46911])).
% 15.37/11.09 tff(46916,plain,
% 15.37/11.09 (~xuntil6(s330)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28392, 46915])).
% 15.37/11.09 tff(46917,plain,
% 15.37/11.09 (~always3(s330)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27738, 46912])).
% 15.37/11.09 tff(46918,plain,
% 15.37/11.09 (~node4(s330)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28379, 36, 46917])).
% 15.37/11.09 tff(46919,plain,
% 15.37/11.09 (xuntil6(s330) | (~until5(s330))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28386, 294, 46918])).
% 15.37/11.09 tff(46920,plain,
% 15.37/11.09 (~until5(s330)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46919, 46916])).
% 15.37/11.09 tff(46921,plain,
% 15.37/11.09 (~xuntil6(s329)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28375, 46920])).
% 15.37/11.09 tff(46922,plain,
% 15.37/11.09 (~always3(s329)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27750, 46917])).
% 15.37/11.09 tff(46923,plain,
% 15.37/11.09 (~node4(s329)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28362, 36, 46922])).
% 15.37/11.09 tff(46924,plain,
% 15.37/11.09 (xuntil6(s329) | (~until5(s329))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28369, 294, 46923])).
% 15.37/11.09 tff(46925,plain,
% 15.37/11.09 (~until5(s329)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46924, 46921])).
% 15.37/11.09 tff(46926,plain,
% 15.37/11.09 (~xuntil6(s328)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28358, 46925])).
% 15.37/11.09 tff(46927,plain,
% 15.37/11.09 (~always3(s328)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27762, 46922])).
% 15.37/11.09 tff(46928,plain,
% 15.37/11.09 (~node4(s328)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28345, 36, 46927])).
% 15.37/11.09 tff(46929,plain,
% 15.37/11.09 (xuntil6(s328) | (~until5(s328))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28352, 294, 46928])).
% 15.37/11.09 tff(46930,plain,
% 15.37/11.09 (~until5(s328)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46929, 46926])).
% 15.37/11.09 tff(46931,plain,
% 15.37/11.09 (~xuntil6(s327)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28341, 46930])).
% 15.37/11.09 tff(46932,plain,
% 15.37/11.09 (~always3(s327)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27774, 46927])).
% 15.37/11.09 tff(46933,plain,
% 15.37/11.09 (~node4(s327)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28328, 36, 46932])).
% 15.37/11.09 tff(46934,plain,
% 15.37/11.09 (xuntil6(s327) | (~until5(s327))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28335, 294, 46933])).
% 15.37/11.09 tff(46935,plain,
% 15.37/11.09 (~until5(s327)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46934, 46931])).
% 15.37/11.09 tff(46936,plain,
% 15.37/11.09 (~xuntil6(s326)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28324, 46935])).
% 15.37/11.09 tff(46937,plain,
% 15.37/11.09 (~always3(s326)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27786, 46932])).
% 15.37/11.09 tff(46938,plain,
% 15.37/11.09 (~node4(s326)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28311, 36, 46937])).
% 15.37/11.09 tff(46939,plain,
% 15.37/11.09 (xuntil6(s326) | (~until5(s326))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28318, 294, 46938])).
% 15.37/11.09 tff(46940,plain,
% 15.37/11.09 (~until5(s326)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46939, 46936])).
% 15.37/11.09 tff(46941,plain,
% 15.37/11.09 (~xuntil6(s325)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28307, 46940])).
% 15.37/11.09 tff(46942,plain,
% 15.37/11.09 (~always3(s325)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27798, 46937])).
% 15.37/11.09 tff(46943,plain,
% 15.37/11.09 (~node4(s325)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28294, 36, 46942])).
% 15.37/11.09 tff(46944,plain,
% 15.37/11.09 (xuntil6(s325) | (~until5(s325))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28301, 294, 46943])).
% 15.37/11.09 tff(46945,plain,
% 15.37/11.09 (~until5(s325)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46944, 46941])).
% 15.37/11.09 tff(46946,plain,
% 15.37/11.09 (~xuntil6(s324)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28290, 46945])).
% 15.37/11.09 tff(46947,plain,
% 15.37/11.09 (~always3(s324)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27810, 46942])).
% 15.37/11.09 tff(46948,plain,
% 15.37/11.09 (~node4(s324)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28277, 36, 46947])).
% 15.37/11.09 tff(46949,plain,
% 15.37/11.09 (xuntil6(s324) | (~until5(s324))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28284, 294, 46948])).
% 15.37/11.09 tff(46950,plain,
% 15.37/11.09 (~until5(s324)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46949, 46946])).
% 15.37/11.09 tff(46951,plain,
% 15.37/11.09 (~xuntil6(s323)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28273, 46950])).
% 15.37/11.09 tff(46952,plain,
% 15.37/11.09 (~always3(s323)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27822, 46947])).
% 15.37/11.09 tff(46953,plain,
% 15.37/11.09 (~node4(s323)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28260, 36, 46952])).
% 15.37/11.09 tff(46954,plain,
% 15.37/11.09 (xuntil6(s323) | (~until5(s323))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28267, 294, 46953])).
% 15.37/11.09 tff(46955,plain,
% 15.37/11.09 (~until5(s323)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46954, 46951])).
% 15.37/11.09 tff(46956,plain,
% 15.37/11.09 (~xuntil6(s322)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28256, 46955])).
% 15.37/11.09 tff(46957,plain,
% 15.37/11.09 (~always3(s322)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27834, 46952])).
% 15.37/11.09 tff(46958,plain,
% 15.37/11.09 (~node4(s322)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28243, 36, 46957])).
% 15.37/11.09 tff(46959,plain,
% 15.37/11.09 (xuntil6(s322) | (~until5(s322))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28250, 294, 46958])).
% 15.37/11.09 tff(46960,plain,
% 15.37/11.09 (~until5(s322)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46959, 46956])).
% 15.37/11.09 tff(46961,plain,
% 15.37/11.09 (~xuntil6(s321)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28239, 46960])).
% 15.37/11.09 tff(46962,plain,
% 15.37/11.09 (~always3(s321)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27846, 46957])).
% 15.37/11.09 tff(46963,plain,
% 15.37/11.09 (~node4(s321)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28226, 36, 46962])).
% 15.37/11.09 tff(46964,plain,
% 15.37/11.09 (xuntil6(s321) | (~until5(s321))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28233, 294, 46963])).
% 15.37/11.09 tff(46965,plain,
% 15.37/11.09 (~until5(s321)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46964, 46961])).
% 15.37/11.09 tff(46966,plain,
% 15.37/11.09 (~xuntil6(s320)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28222, 46965])).
% 15.37/11.09 tff(46967,plain,
% 15.37/11.09 (~always3(s320)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27858, 46962])).
% 15.37/11.09 tff(46968,plain,
% 15.37/11.09 (~node4(s320)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28209, 36, 46967])).
% 15.37/11.09 tff(46969,plain,
% 15.37/11.09 (xuntil6(s320) | (~until5(s320))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28216, 294, 46968])).
% 15.37/11.09 tff(46970,plain,
% 15.37/11.09 (~until5(s320)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46969, 46966])).
% 15.37/11.09 tff(46971,plain,
% 15.37/11.09 (~xuntil6(s319)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28205, 46970])).
% 15.37/11.09 tff(46972,plain,
% 15.37/11.09 (~always3(s319)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27870, 46967])).
% 15.37/11.09 tff(46973,plain,
% 15.37/11.09 (~node4(s319)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28192, 36, 46972])).
% 15.37/11.09 tff(46974,plain,
% 15.37/11.09 (xuntil6(s319) | (~until5(s319))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28199, 294, 46973])).
% 15.37/11.09 tff(46975,plain,
% 15.37/11.09 (~until5(s319)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46974, 46971])).
% 15.37/11.09 tff(46976,plain,
% 15.37/11.09 (~xuntil6(s318)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28188, 46975])).
% 15.37/11.09 tff(46977,plain,
% 15.37/11.09 (~always3(s318)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27882, 46972])).
% 15.37/11.09 tff(46978,plain,
% 15.37/11.09 (~node4(s318)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28175, 36, 46977])).
% 15.37/11.09 tff(46979,plain,
% 15.37/11.09 (xuntil6(s318) | (~until5(s318))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28182, 294, 46978])).
% 15.37/11.09 tff(46980,plain,
% 15.37/11.09 (~until5(s318)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46979, 46976])).
% 15.37/11.09 tff(46981,plain,
% 15.37/11.09 (~xuntil6(s317)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28171, 46980])).
% 15.37/11.09 tff(46982,plain,
% 15.37/11.09 (~always3(s317)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27894, 46977])).
% 15.37/11.09 tff(46983,plain,
% 15.37/11.09 (~node4(s317)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28158, 36, 46982])).
% 15.37/11.09 tff(46984,plain,
% 15.37/11.09 (xuntil6(s317) | (~until5(s317))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28165, 294, 46983])).
% 15.37/11.09 tff(46985,plain,
% 15.37/11.09 (~until5(s317)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46984, 46981])).
% 15.37/11.09 tff(46986,plain,
% 15.37/11.09 (~xuntil6(s316)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28154, 46985])).
% 15.37/11.09 tff(46987,plain,
% 15.37/11.09 (~always3(s316)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27906, 46982])).
% 15.37/11.09 tff(46988,plain,
% 15.37/11.09 (~node4(s316)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28141, 36, 46987])).
% 15.37/11.09 tff(46989,plain,
% 15.37/11.09 (xuntil6(s316) | (~until5(s316))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28148, 294, 46988])).
% 15.37/11.09 tff(46990,plain,
% 15.37/11.09 (~until5(s316)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46989, 46986])).
% 15.37/11.09 tff(46991,plain,
% 15.37/11.09 (~xuntil6(s315)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28137, 46990])).
% 15.37/11.09 tff(46992,plain,
% 15.37/11.09 (~always3(s315)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27918, 46987])).
% 15.37/11.09 tff(46993,plain,
% 15.37/11.09 (~node4(s315)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28124, 36, 46992])).
% 15.37/11.09 tff(46994,plain,
% 15.37/11.09 (xuntil6(s315) | (~until5(s315))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28131, 294, 46993])).
% 15.37/11.09 tff(46995,plain,
% 15.37/11.09 (~until5(s315)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46994, 46991])).
% 15.37/11.09 tff(46996,plain,
% 15.37/11.09 (~xuntil6(s314)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28120, 46995])).
% 15.37/11.09 tff(46997,plain,
% 15.37/11.09 (~always3(s314)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27930, 46992])).
% 15.37/11.09 tff(46998,plain,
% 15.37/11.09 (~node4(s314)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28107, 36, 46997])).
% 15.37/11.09 tff(46999,plain,
% 15.37/11.09 (xuntil6(s314) | (~until5(s314))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28114, 294, 46998])).
% 15.37/11.09 tff(47000,plain,
% 15.37/11.09 (~until5(s314)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[46999, 46996])).
% 15.37/11.09 tff(47001,plain,
% 15.37/11.09 (~xuntil6(s313)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28103, 47000])).
% 15.37/11.09 tff(47002,plain,
% 15.37/11.09 (~always3(s313)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27942, 46997])).
% 15.37/11.09 tff(47003,plain,
% 15.37/11.09 (~node4(s313)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28090, 36, 47002])).
% 15.37/11.09 tff(47004,plain,
% 15.37/11.09 (xuntil6(s313) | (~until5(s313))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28097, 294, 47003])).
% 15.37/11.09 tff(47005,plain,
% 15.37/11.09 (~until5(s313)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47004, 47001])).
% 15.37/11.09 tff(47006,plain,
% 15.37/11.09 (~xuntil6(s312)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28086, 47005])).
% 15.37/11.09 tff(47007,plain,
% 15.37/11.09 (~always3(s312)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27954, 47002])).
% 15.37/11.09 tff(47008,plain,
% 15.37/11.09 (~node4(s312)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28073, 36, 47007])).
% 15.37/11.09 tff(47009,plain,
% 15.37/11.09 (xuntil6(s312) | (~until5(s312))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28080, 294, 47008])).
% 15.37/11.09 tff(47010,plain,
% 15.37/11.09 (~until5(s312)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47009, 47006])).
% 15.37/11.09 tff(47011,plain,
% 15.37/11.09 (~xuntil6(s311)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28069, 47010])).
% 15.37/11.09 tff(47012,plain,
% 15.37/11.09 (~always3(s311)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27966, 47007])).
% 15.37/11.09 tff(47013,plain,
% 15.37/11.09 (~node4(s311)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28056, 36, 47012])).
% 15.37/11.09 tff(47014,plain,
% 15.37/11.09 (xuntil6(s311) | (~until5(s311))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28063, 294, 47013])).
% 15.37/11.09 tff(47015,plain,
% 15.37/11.09 (~until5(s311)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47014, 47011])).
% 15.37/11.09 tff(47016,plain,
% 15.37/11.09 (~xuntil6(s310)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28052, 47015])).
% 15.37/11.09 tff(47017,plain,
% 15.37/11.09 (~always3(s310)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27978, 47012])).
% 15.37/11.09 tff(47018,plain,
% 15.37/11.09 (~node4(s310)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28039, 36, 47017])).
% 15.37/11.09 tff(47019,plain,
% 15.37/11.09 (xuntil6(s310) | (~until5(s310))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28046, 294, 47018])).
% 15.37/11.09 tff(47020,plain,
% 15.37/11.09 (~until5(s310)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47019, 47016])).
% 15.37/11.09 tff(47021,plain,
% 15.37/11.09 (~xuntil6(s309)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28035, 47020])).
% 15.37/11.09 tff(47022,plain,
% 15.37/11.09 (~always3(s309)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27990, 47017])).
% 15.37/11.09 tff(47023,plain,
% 15.37/11.09 (~node4(s309)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[27994, 36, 47022])).
% 15.37/11.09 tff(47024,plain,
% 15.37/11.09 (xuntil6(s309) | (~until5(s309))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28030, 294, 47023])).
% 15.37/11.09 tff(47025,plain,
% 15.37/11.09 (~until5(s309)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47024, 47021])).
% 15.37/11.09 tff(47026,plain,
% 15.37/11.09 (~xuntil6(s308)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28023, 47025])).
% 15.37/11.09 tff(47027,plain,
% 15.37/11.09 (~always3(s308)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28006, 47022])).
% 15.37/11.09 tff(47028,plain,
% 15.37/11.09 (~node4(s308)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28010, 36, 47027])).
% 15.37/11.09 tff(47029,plain,
% 15.37/11.09 (xuntil6(s308) | (~until5(s308))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[28017, 294, 47028])).
% 15.37/11.09 tff(47030,plain,
% 15.37/11.09 (~until5(s308)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47029, 47026])).
% 15.37/11.09 tff(47031,plain,
% 15.37/11.09 (~xuntil6(s307)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26197, 47030])).
% 15.37/11.09 tff(47032,plain,
% 15.37/11.09 (~always3(s307)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26183, 47027])).
% 15.37/11.09 tff(47033,plain,
% 15.37/11.09 (~node4(s307)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26081, 36, 47032])).
% 15.37/11.09 tff(47034,plain,
% 15.37/11.09 (xuntil6(s307) | (~until5(s307))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26076, 294, 47033])).
% 15.37/11.09 tff(47035,plain,
% 15.37/11.09 (~until5(s307)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47034, 47031])).
% 15.37/11.09 tff(47036,plain,
% 15.37/11.09 (~xuntil6(s306)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26069, 47035])).
% 15.37/11.09 tff(47037,plain,
% 15.37/11.09 (~always3(s306)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26016, 47032])).
% 15.37/11.09 tff(47038,plain,
% 15.37/11.09 (~node4(s306)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26021, 36, 47037])).
% 15.37/11.09 tff(47039,plain,
% 15.37/11.09 (xuntil6(s306) | (~until5(s306))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26029, 294, 47038])).
% 15.37/11.09 tff(47040,plain,
% 15.37/11.09 (~until5(s306)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47039, 47036])).
% 15.37/11.09 tff(47041,plain,
% 15.37/11.09 (~xuntil6(s305)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26062, 47040])).
% 15.37/11.09 tff(47042,plain,
% 15.37/11.09 (~always3(s305)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26042, 47037])).
% 15.37/11.09 tff(47043,plain,
% 15.37/11.09 (~node4(s305)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26046, 36, 47042])).
% 15.37/11.09 tff(47044,plain,
% 15.37/11.09 (xuntil6(s305) | (~until5(s305))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26056, 294, 47043])).
% 15.37/11.09 tff(47045,plain,
% 15.37/11.09 (~until5(s305)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47044, 47041])).
% 15.37/11.09 tff(47046,plain,
% 15.37/11.09 (~xuntil6(s304)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[26001, 47045])).
% 15.37/11.09 tff(47047,plain,
% 15.37/11.09 (~always3(s304)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[25900, 47042])).
% 15.37/11.09 tff(47048,plain,
% 15.37/11.09 (~node4(s304)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24335, 36, 47047])).
% 15.37/11.09 tff(47049,plain,
% 15.37/11.09 (xuntil6(s304) | (~until5(s304))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24309, 294, 47048])).
% 15.37/11.09 tff(47050,plain,
% 15.37/11.09 (~until5(s304)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47049, 47046])).
% 15.37/11.09 tff(47051,plain,
% 15.37/11.09 (~xuntil6(s303)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24342, 47050])).
% 15.37/11.09 tff(47052,plain,
% 15.37/11.09 (~always3(s303)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24327, 47047])).
% 15.37/11.09 tff(47053,plain,
% 15.37/11.09 (~node4(s303)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24331, 36, 47052])).
% 15.37/11.09 tff(47054,plain,
% 15.37/11.09 (xuntil6(s303) | (~until5(s303))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24349, 294, 47053])).
% 15.37/11.09 tff(47055,plain,
% 15.37/11.09 (~until5(s303)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47054, 47051])).
% 15.37/11.09 tff(47056,plain,
% 15.37/11.09 (~xuntil6(s302)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24357, 47055])).
% 15.37/11.09 tff(47057,plain,
% 15.37/11.09 (~always3(s302)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24366, 47052])).
% 15.37/11.09 tff(47058,plain,
% 15.37/11.09 (~node4(s302)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24370, 36, 47057])).
% 15.37/11.09 tff(47059,plain,
% 15.37/11.09 (xuntil6(s302) | (~until5(s302))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24377, 294, 47058])).
% 15.37/11.09 tff(47060,plain,
% 15.37/11.09 (~until5(s302)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47059, 47056])).
% 15.37/11.09 tff(47061,plain,
% 15.37/11.09 (~xuntil6(s301)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[24298, 47060])).
% 15.37/11.09 tff(47062,plain,
% 15.37/11.09 (~always3(s301)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23395, 47057])).
% 15.37/11.09 tff(47063,plain,
% 15.37/11.09 (~node4(s301)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22893, 36, 47062])).
% 15.37/11.09 tff(47064,plain,
% 15.37/11.09 (xuntil6(s301) | (~until5(s301))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22900, 294, 47063])).
% 15.37/11.09 tff(47065,plain,
% 15.37/11.09 (~until5(s301)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47064, 47061])).
% 15.37/11.09 tff(47066,plain,
% 15.37/11.09 (~xuntil6(s300)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22906, 47065])).
% 15.37/11.09 tff(47067,plain,
% 15.37/11.09 (~always3(s300)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22733, 47062])).
% 15.37/11.09 tff(47068,plain,
% 15.37/11.09 (~node4(s300)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22889, 36, 47067])).
% 15.37/11.09 tff(47069,plain,
% 15.37/11.09 (xuntil6(s300) | (~until5(s300))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22913, 294, 47068])).
% 15.37/11.09 tff(47070,plain,
% 15.37/11.09 (~until5(s300)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47069, 47066])).
% 15.37/11.09 tff(47071,plain,
% 15.37/11.09 (~xuntil6(s299)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22918, 47070])).
% 15.37/11.09 tff(47072,plain,
% 15.37/11.09 (~always3(s299)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22745, 47067])).
% 15.37/11.09 tff(47073,plain,
% 15.37/11.09 (~node4(s299)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22922, 36, 47072])).
% 15.37/11.09 tff(47074,plain,
% 15.37/11.09 (xuntil6(s299) | (~until5(s299))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22929, 294, 47073])).
% 15.37/11.09 tff(47075,plain,
% 15.37/11.09 (~until5(s299)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47074, 47071])).
% 15.37/11.09 tff(47076,plain,
% 15.37/11.09 (~xuntil6(s298)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22935, 47075])).
% 15.37/11.09 tff(47077,plain,
% 15.37/11.09 (~always3(s298)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22757, 47072])).
% 15.37/11.09 tff(47078,plain,
% 15.37/11.09 (~node4(s298)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22939, 36, 47077])).
% 15.37/11.09 tff(47079,plain,
% 15.37/11.09 (xuntil6(s298) | (~until5(s298))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22946, 294, 47078])).
% 15.37/11.09 tff(47080,plain,
% 15.37/11.09 (~until5(s298)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47079, 47076])).
% 15.37/11.09 tff(47081,plain,
% 15.37/11.09 (~xuntil6(s297)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22952, 47080])).
% 15.37/11.09 tff(47082,plain,
% 15.37/11.09 (~always3(s297)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22769, 47077])).
% 15.37/11.09 tff(47083,plain,
% 15.37/11.09 (~node4(s297)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22956, 36, 47082])).
% 15.37/11.09 tff(47084,plain,
% 15.37/11.09 (xuntil6(s297) | (~until5(s297))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22963, 294, 47083])).
% 15.37/11.09 tff(47085,plain,
% 15.37/11.09 (~until5(s297)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47084, 47081])).
% 15.37/11.09 tff(47086,plain,
% 15.37/11.09 (~xuntil6(s296)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22969, 47085])).
% 15.37/11.09 tff(47087,plain,
% 15.37/11.09 (~always3(s296)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22781, 47082])).
% 15.37/11.09 tff(47088,plain,
% 15.37/11.09 (~node4(s296)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23058, 36, 47087])).
% 15.37/11.09 tff(47089,plain,
% 15.37/11.09 (xuntil6(s296) | (~until5(s296))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23065, 294, 47088])).
% 15.37/11.09 tff(47090,plain,
% 15.37/11.09 (~until5(s296)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47089, 47086])).
% 15.37/11.09 tff(47091,plain,
% 15.37/11.09 (~xuntil6(s295)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23054, 47090])).
% 15.37/11.09 tff(47092,plain,
% 15.37/11.09 (~always3(s295)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22793, 47087])).
% 15.37/11.09 tff(47093,plain,
% 15.37/11.09 (~node4(s295)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23041, 36, 47092])).
% 15.37/11.09 tff(47094,plain,
% 15.37/11.09 (xuntil6(s295) | (~until5(s295))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23048, 294, 47093])).
% 15.37/11.09 tff(47095,plain,
% 15.37/11.09 (~until5(s295)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47094, 47091])).
% 15.37/11.09 tff(47096,plain,
% 15.37/11.09 (~xuntil6(s294)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23037, 47095])).
% 15.37/11.09 tff(47097,plain,
% 15.37/11.09 (~always3(s294)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22805, 47092])).
% 15.37/11.09 tff(47098,plain,
% 15.37/11.09 (~node4(s294)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23024, 36, 47097])).
% 15.37/11.09 tff(47099,plain,
% 15.37/11.09 (xuntil6(s294) | (~until5(s294))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23031, 294, 47098])).
% 15.37/11.09 tff(47100,plain,
% 15.37/11.09 (~until5(s294)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47099, 47096])).
% 15.37/11.09 tff(47101,plain,
% 15.37/11.09 (~xuntil6(s293)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23020, 47100])).
% 15.37/11.09 tff(47102,plain,
% 15.37/11.09 (~always3(s293)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22817, 47097])).
% 15.37/11.09 tff(47103,plain,
% 15.37/11.09 (~node4(s293)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23007, 36, 47102])).
% 15.37/11.09 tff(47104,plain,
% 15.37/11.09 (xuntil6(s293) | (~until5(s293))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23014, 294, 47103])).
% 15.37/11.09 tff(47105,plain,
% 15.37/11.09 (~until5(s293)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47104, 47101])).
% 15.37/11.09 tff(47106,plain,
% 15.37/11.09 (~xuntil6(s292)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23003, 47105])).
% 15.37/11.09 tff(47107,plain,
% 15.37/11.09 (~always3(s292)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22829, 47102])).
% 15.37/11.09 tff(47108,plain,
% 15.37/11.09 (~node4(s292)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22973, 36, 47107])).
% 15.37/11.09 tff(47109,plain,
% 15.37/11.09 (xuntil6(s292) | (~until5(s292))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22998, 294, 47108])).
% 15.37/11.09 tff(47110,plain,
% 15.37/11.09 (~until5(s292)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47109, 47106])).
% 15.37/11.09 tff(47111,plain,
% 15.37/11.09 (~xuntil6(s291)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22991, 47110])).
% 15.37/11.09 tff(47112,plain,
% 15.37/11.09 (~always3(s291)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22841, 47107])).
% 15.37/11.09 tff(47113,plain,
% 15.37/11.09 (~node4(s291)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22977, 36, 47112])).
% 15.37/11.09 tff(47114,plain,
% 15.37/11.09 (xuntil6(s291) | (~until5(s291))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22985, 294, 47113])).
% 15.37/11.09 tff(47115,plain,
% 15.37/11.09 (~until5(s291)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47114, 47111])).
% 15.37/11.09 tff(47116,plain,
% 15.37/11.09 (~xuntil6(s290)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23073, 47115])).
% 15.37/11.09 tff(47117,plain,
% 15.37/11.09 (~always3(s290)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22853, 47112])).
% 15.37/11.09 tff(47118,plain,
% 15.37/11.09 (~node4(s290)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22885, 36, 47117])).
% 15.37/11.09 tff(47119,plain,
% 15.37/11.09 (xuntil6(s290) | (~until5(s290))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23080, 294, 47118])).
% 15.37/11.09 tff(47120,plain,
% 15.37/11.09 (~until5(s290)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47119, 47116])).
% 15.37/11.09 tff(47121,plain,
% 15.37/11.09 (~xuntil6(s289)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23085, 47120])).
% 15.37/11.09 tff(47122,plain,
% 15.37/11.09 (~always3(s289)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22865, 47117])).
% 15.37/11.09 tff(47123,plain,
% 15.37/11.09 (~node4(s289)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23094, 36, 47122])).
% 15.37/11.09 tff(47124,plain,
% 15.37/11.09 (xuntil6(s289) | (~until5(s289))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23130, 294, 47123])).
% 15.37/11.09 tff(47125,plain,
% 15.37/11.09 (~until5(s289)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47124, 47121])).
% 15.37/11.09 tff(47126,plain,
% 15.37/11.09 (~xuntil6(s288)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23136, 47125])).
% 15.37/11.09 tff(47127,plain,
% 15.37/11.09 (~always3(s288)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22877, 47122])).
% 15.37/11.09 tff(47128,plain,
% 15.37/11.09 (~node4(s288)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22881, 36, 47127])).
% 15.37/11.09 tff(47129,plain,
% 15.37/11.09 (xuntil6(s288) | (~until5(s288))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23143, 294, 47128])).
% 15.37/11.09 tff(47130,plain,
% 15.37/11.09 (~until5(s288)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47129, 47126])).
% 15.37/11.09 tff(47131,plain,
% 15.37/11.09 (~xuntil6(s287)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23151, 47130])).
% 15.37/11.09 tff(47132,plain,
% 15.37/11.09 (~always3(s287)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23160, 47127])).
% 15.37/11.09 tff(47133,plain,
% 15.37/11.09 (~node4(s287)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23164, 36, 47132])).
% 15.37/11.09 tff(47134,plain,
% 15.37/11.09 (xuntil6(s287) | (~until5(s287))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23171, 294, 47133])).
% 15.37/11.09 tff(47135,plain,
% 15.37/11.09 (~until5(s287)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47134, 47131])).
% 15.37/11.09 tff(47136,plain,
% 15.37/11.09 (~xuntil6(s286)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23180, 47135])).
% 15.37/11.09 tff(47137,plain,
% 15.37/11.09 (~always3(s286)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23189, 47132])).
% 15.37/11.09 tff(47138,plain,
% 15.37/11.09 (~node4(s286)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23193, 36, 47137])).
% 15.37/11.09 tff(47139,plain,
% 15.37/11.09 (xuntil6(s286) | (~until5(s286))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23200, 294, 47138])).
% 15.37/11.09 tff(47140,plain,
% 15.37/11.09 (~until5(s286)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47139, 47136])).
% 15.37/11.09 tff(47141,plain,
% 15.37/11.09 (~xuntil6(s285)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23209, 47140])).
% 15.37/11.09 tff(47142,plain,
% 15.37/11.09 (~always3(s285)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23218, 47137])).
% 15.37/11.09 tff(47143,plain,
% 15.37/11.09 (~node4(s285)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23337, 36, 47142])).
% 15.37/11.09 tff(47144,plain,
% 15.37/11.09 (xuntil6(s285) | (~until5(s285))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23344, 294, 47143])).
% 15.37/11.09 tff(47145,plain,
% 15.37/11.09 (~until5(s285)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47144, 47141])).
% 15.37/11.09 tff(47146,plain,
% 15.37/11.09 (~xuntil6(s284)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23333, 47145])).
% 15.37/11.09 tff(47147,plain,
% 15.37/11.09 (~always3(s284)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23230, 47142])).
% 15.37/11.09 tff(47148,plain,
% 15.37/11.09 (~node4(s284)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23320, 36, 47147])).
% 15.37/11.09 tff(47149,plain,
% 15.37/11.09 (xuntil6(s284) | (~until5(s284))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23327, 294, 47148])).
% 15.37/11.09 tff(47150,plain,
% 15.37/11.09 (~until5(s284)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47149, 47146])).
% 15.37/11.09 tff(47151,plain,
% 15.37/11.09 (~xuntil6(s283)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23316, 47150])).
% 15.37/11.09 tff(47152,plain,
% 15.37/11.09 (~always3(s283)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23242, 47147])).
% 15.37/11.09 tff(47153,plain,
% 15.37/11.09 (~node4(s283)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23303, 36, 47152])).
% 15.37/11.09 tff(47154,plain,
% 15.37/11.09 (xuntil6(s283) | (~until5(s283))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23310, 294, 47153])).
% 15.37/11.09 tff(47155,plain,
% 15.37/11.09 (~until5(s283)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47154, 47151])).
% 15.37/11.09 tff(47156,plain,
% 15.37/11.09 (~xuntil6(s282)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23299, 47155])).
% 15.37/11.09 tff(47157,plain,
% 15.37/11.09 (~always3(s282)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23254, 47152])).
% 15.37/11.09 tff(47158,plain,
% 15.37/11.09 (~node4(s282)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23258, 36, 47157])).
% 15.37/11.09 tff(47159,plain,
% 15.37/11.09 (xuntil6(s282) | (~until5(s282))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23294, 294, 47158])).
% 15.37/11.09 tff(47160,plain,
% 15.37/11.09 (~until5(s282)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47159, 47156])).
% 15.37/11.09 tff(47161,plain,
% 15.37/11.09 (~xuntil6(s281)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23287, 47160])).
% 15.37/11.09 tff(47162,plain,
% 15.37/11.09 (~always3(s281)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23270, 47157])).
% 15.37/11.09 tff(47163,plain,
% 15.37/11.09 (~node4(s281)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23274, 36, 47162])).
% 15.37/11.09 tff(47164,plain,
% 15.37/11.09 (xuntil6(s281) | (~until5(s281))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[23281, 294, 47163])).
% 15.37/11.09 tff(47165,plain,
% 15.37/11.09 (~until5(s281)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47164, 47161])).
% 15.37/11.09 tff(47166,plain,
% 15.37/11.09 (~xuntil6(s280)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[22718, 47165])).
% 15.37/11.09 tff(47167,plain,
% 15.37/11.09 (~always3(s280)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[21122, 47162])).
% 15.37/11.09 tff(47168,plain,
% 15.37/11.09 (~node4(s280)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20009, 36, 47167])).
% 15.37/11.09 tff(47169,plain,
% 15.37/11.09 (xuntil6(s280) | (~until5(s280))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20016, 294, 47168])).
% 15.37/11.09 tff(47170,plain,
% 15.37/11.09 (~until5(s280)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47169, 47166])).
% 15.37/11.09 tff(47171,plain,
% 15.37/11.09 (~xuntil6(s279)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20022, 47170])).
% 15.37/11.09 tff(47172,plain,
% 15.37/11.09 (~always3(s279)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20001, 47167])).
% 15.37/11.09 tff(47173,plain,
% 15.37/11.09 (~node4(s279)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20005, 36, 47172])).
% 15.37/11.09 tff(47174,plain,
% 15.37/11.09 (xuntil6(s279) | (~until5(s279))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20029, 294, 47173])).
% 15.37/11.09 tff(47175,plain,
% 15.37/11.09 (~until5(s279)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47174, 47171])).
% 15.37/11.09 tff(47176,plain,
% 15.37/11.09 (~xuntil6(s278)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20037, 47175])).
% 15.37/11.09 tff(47177,plain,
% 15.37/11.09 (~always3(s278)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20046, 47172])).
% 15.37/11.09 tff(47178,plain,
% 15.37/11.09 (~node4(s278)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20050, 36, 47177])).
% 15.37/11.09 tff(47179,plain,
% 15.37/11.09 (xuntil6(s278) | (~until5(s278))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20057, 294, 47178])).
% 15.37/11.09 tff(47180,plain,
% 15.37/11.09 (~until5(s278)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47179, 47176])).
% 15.37/11.09 tff(47181,plain,
% 15.37/11.09 (~xuntil6(s277)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20066, 47180])).
% 15.37/11.09 tff(47182,plain,
% 15.37/11.09 (~always3(s277)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20075, 47177])).
% 15.37/11.09 tff(47183,plain,
% 15.37/11.09 (~node4(s277)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20079, 36, 47182])).
% 15.37/11.09 tff(47184,plain,
% 15.37/11.09 (xuntil6(s277) | (~until5(s277))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20086, 294, 47183])).
% 15.37/11.09 tff(47185,plain,
% 15.37/11.09 (~until5(s277)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47184, 47181])).
% 15.37/11.09 tff(47186,plain,
% 15.37/11.09 (~xuntil6(s276)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20095, 47185])).
% 15.37/11.09 tff(47187,plain,
% 15.37/11.09 (~always3(s276)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20104, 47182])).
% 15.37/11.09 tff(47188,plain,
% 15.37/11.09 (~node4(s276)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20108, 36, 47187])).
% 15.37/11.09 tff(47189,plain,
% 15.37/11.09 (xuntil6(s276) | (~until5(s276))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20115, 294, 47188])).
% 15.37/11.09 tff(47190,plain,
% 15.37/11.09 (~until5(s276)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47189, 47186])).
% 15.37/11.09 tff(47191,plain,
% 15.37/11.09 (~xuntil6(s275)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20124, 47190])).
% 15.37/11.09 tff(47192,plain,
% 15.37/11.09 (~always3(s275)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20133, 47187])).
% 15.37/11.09 tff(47193,plain,
% 15.37/11.09 (~node4(s275)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20137, 36, 47192])).
% 15.37/11.09 tff(47194,plain,
% 15.37/11.09 (xuntil6(s275) | (~until5(s275))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20144, 294, 47193])).
% 15.37/11.09 tff(47195,plain,
% 15.37/11.09 (~until5(s275)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47194, 47191])).
% 15.37/11.09 tff(47196,plain,
% 15.37/11.09 (~xuntil6(s274)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20153, 47195])).
% 15.37/11.09 tff(47197,plain,
% 15.37/11.09 (~always3(s274)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20162, 47192])).
% 15.37/11.09 tff(47198,plain,
% 15.37/11.09 (~node4(s274)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20166, 36, 47197])).
% 15.37/11.09 tff(47199,plain,
% 15.37/11.09 (xuntil6(s274) | (~until5(s274))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20173, 294, 47198])).
% 15.37/11.09 tff(47200,plain,
% 15.37/11.09 (~until5(s274)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47199, 47196])).
% 15.37/11.09 tff(47201,plain,
% 15.37/11.09 (~xuntil6(s273)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20182, 47200])).
% 15.37/11.09 tff(47202,plain,
% 15.37/11.09 (~always3(s273)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20191, 47197])).
% 15.37/11.09 tff(47203,plain,
% 15.37/11.09 (~node4(s273)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20195, 36, 47202])).
% 15.37/11.09 tff(47204,plain,
% 15.37/11.09 (xuntil6(s273) | (~until5(s273))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20202, 294, 47203])).
% 15.37/11.09 tff(47205,plain,
% 15.37/11.09 (~until5(s273)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47204, 47201])).
% 15.37/11.09 tff(47206,plain,
% 15.37/11.09 (~xuntil6(s272)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20211, 47205])).
% 15.37/11.09 tff(47207,plain,
% 15.37/11.09 (~always3(s272)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20220, 47202])).
% 15.37/11.09 tff(47208,plain,
% 15.37/11.09 (~node4(s272)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20224, 36, 47207])).
% 15.37/11.09 tff(47209,plain,
% 15.37/11.09 (xuntil6(s272) | (~until5(s272))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20231, 294, 47208])).
% 15.37/11.09 tff(47210,plain,
% 15.37/11.09 (~until5(s272)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47209, 47206])).
% 15.37/11.09 tff(47211,plain,
% 15.37/11.09 (~xuntil6(s271)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20240, 47210])).
% 15.37/11.09 tff(47212,plain,
% 15.37/11.09 (~always3(s271)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20249, 47207])).
% 15.37/11.09 tff(47213,plain,
% 15.37/11.09 (~node4(s271)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20253, 36, 47212])).
% 15.37/11.09 tff(47214,plain,
% 15.37/11.09 (xuntil6(s271) | (~until5(s271))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20260, 294, 47213])).
% 15.37/11.09 tff(47215,plain,
% 15.37/11.09 (~until5(s271)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47214, 47211])).
% 15.37/11.09 tff(47216,plain,
% 15.37/11.09 (~xuntil6(s270)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20269, 47215])).
% 15.37/11.09 tff(47217,plain,
% 15.37/11.09 (~always3(s270)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20278, 47212])).
% 15.37/11.09 tff(47218,plain,
% 15.37/11.09 (~node4(s270)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20282, 36, 47217])).
% 15.37/11.09 tff(47219,plain,
% 15.37/11.09 (xuntil6(s270) | (~until5(s270))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20289, 294, 47218])).
% 15.37/11.09 tff(47220,plain,
% 15.37/11.09 (~until5(s270)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47219, 47216])).
% 15.37/11.09 tff(47221,plain,
% 15.37/11.09 (~xuntil6(s269)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20298, 47220])).
% 15.37/11.09 tff(47222,plain,
% 15.37/11.09 (~always3(s269)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20307, 47217])).
% 15.37/11.09 tff(47223,plain,
% 15.37/11.09 (~node4(s269)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20311, 36, 47222])).
% 15.37/11.09 tff(47224,plain,
% 15.37/11.09 (xuntil6(s269) | (~until5(s269))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20318, 294, 47223])).
% 15.37/11.09 tff(47225,plain,
% 15.37/11.09 (~until5(s269)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47224, 47221])).
% 15.37/11.09 tff(47226,plain,
% 15.37/11.09 (~xuntil6(s268)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20327, 47225])).
% 15.37/11.09 tff(47227,plain,
% 15.37/11.09 (~always3(s268)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20336, 47222])).
% 15.37/11.09 tff(47228,plain,
% 15.37/11.09 (~node4(s268)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20340, 36, 47227])).
% 15.37/11.09 tff(47229,plain,
% 15.37/11.09 (xuntil6(s268) | (~until5(s268))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20347, 294, 47228])).
% 15.37/11.09 tff(47230,plain,
% 15.37/11.09 (~until5(s268)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47229, 47226])).
% 15.37/11.09 tff(47231,plain,
% 15.37/11.09 (~xuntil6(s267)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20356, 47230])).
% 15.37/11.09 tff(47232,plain,
% 15.37/11.09 (~always3(s267)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20365, 47227])).
% 15.37/11.09 tff(47233,plain,
% 15.37/11.09 (~node4(s267)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20369, 36, 47232])).
% 15.37/11.09 tff(47234,plain,
% 15.37/11.09 (xuntil6(s267) | (~until5(s267))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20376, 294, 47233])).
% 15.37/11.09 tff(47235,plain,
% 15.37/11.09 (~until5(s267)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47234, 47231])).
% 15.37/11.09 tff(47236,plain,
% 15.37/11.09 (~xuntil6(s266)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20385, 47235])).
% 15.37/11.09 tff(47237,plain,
% 15.37/11.09 (~always3(s266)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20394, 47232])).
% 15.37/11.09 tff(47238,plain,
% 15.37/11.09 (~node4(s266)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20398, 36, 47237])).
% 15.37/11.09 tff(47239,plain,
% 15.37/11.09 (xuntil6(s266) | (~until5(s266))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20405, 294, 47238])).
% 15.37/11.09 tff(47240,plain,
% 15.37/11.09 (~until5(s266)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47239, 47236])).
% 15.37/11.09 tff(47241,plain,
% 15.37/11.09 (~xuntil6(s265)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20414, 47240])).
% 15.37/11.09 tff(47242,plain,
% 15.37/11.09 (~always3(s265)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20423, 47237])).
% 15.37/11.09 tff(47243,plain,
% 15.37/11.09 (~node4(s265)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20427, 36, 47242])).
% 15.37/11.09 tff(47244,plain,
% 15.37/11.09 (xuntil6(s265) | (~until5(s265))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20434, 294, 47243])).
% 15.37/11.09 tff(47245,plain,
% 15.37/11.09 (~until5(s265)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47244, 47241])).
% 15.37/11.09 tff(47246,plain,
% 15.37/11.09 (~xuntil6(s264)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20443, 47245])).
% 15.37/11.09 tff(47247,plain,
% 15.37/11.09 (~always3(s264)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20452, 47242])).
% 15.37/11.09 tff(47248,plain,
% 15.37/11.09 (~node4(s264)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20456, 36, 47247])).
% 15.37/11.09 tff(47249,plain,
% 15.37/11.09 (xuntil6(s264) | (~until5(s264))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20463, 294, 47248])).
% 15.37/11.09 tff(47250,plain,
% 15.37/11.09 (~until5(s264)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47249, 47246])).
% 15.37/11.09 tff(47251,plain,
% 15.37/11.09 (~xuntil6(s263)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20472, 47250])).
% 15.37/11.09 tff(47252,plain,
% 15.37/11.09 (~always3(s263)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20481, 47247])).
% 15.37/11.09 tff(47253,plain,
% 15.37/11.09 (~node4(s263)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20485, 36, 47252])).
% 15.37/11.09 tff(47254,plain,
% 15.37/11.09 (xuntil6(s263) | (~until5(s263))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20492, 294, 47253])).
% 15.37/11.09 tff(47255,plain,
% 15.37/11.09 (~until5(s263)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47254, 47251])).
% 15.37/11.09 tff(47256,plain,
% 15.37/11.09 (~xuntil6(s262)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20501, 47255])).
% 15.37/11.09 tff(47257,plain,
% 15.37/11.09 (~always3(s262)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20510, 47252])).
% 15.37/11.09 tff(47258,plain,
% 15.37/11.09 (~node4(s262)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20514, 36, 47257])).
% 15.37/11.09 tff(47259,plain,
% 15.37/11.09 (xuntil6(s262) | (~until5(s262))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20521, 294, 47258])).
% 15.37/11.09 tff(47260,plain,
% 15.37/11.09 (~until5(s262)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47259, 47256])).
% 15.37/11.09 tff(47261,plain,
% 15.37/11.09 (~xuntil6(s261)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20530, 47260])).
% 15.37/11.09 tff(47262,plain,
% 15.37/11.09 (~always3(s261)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20539, 47257])).
% 15.37/11.09 tff(47263,plain,
% 15.37/11.09 (~node4(s261)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20543, 36, 47262])).
% 15.37/11.09 tff(47264,plain,
% 15.37/11.09 (xuntil6(s261) | (~until5(s261))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20550, 294, 47263])).
% 15.37/11.09 tff(47265,plain,
% 15.37/11.09 (~until5(s261)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47264, 47261])).
% 15.37/11.09 tff(47266,plain,
% 15.37/11.09 (~xuntil6(s260)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20559, 47265])).
% 15.37/11.09 tff(47267,plain,
% 15.37/11.09 (~always3(s260)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20568, 47262])).
% 15.37/11.09 tff(47268,plain,
% 15.37/11.09 (~node4(s260)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20572, 36, 47267])).
% 15.37/11.09 tff(47269,plain,
% 15.37/11.09 (xuntil6(s260) | (~until5(s260))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20579, 294, 47268])).
% 15.37/11.09 tff(47270,plain,
% 15.37/11.09 (~until5(s260)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47269, 47266])).
% 15.37/11.09 tff(47271,plain,
% 15.37/11.09 (~xuntil6(s259)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20588, 47270])).
% 15.37/11.09 tff(47272,plain,
% 15.37/11.09 (~always3(s259)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20597, 47267])).
% 15.37/11.09 tff(47273,plain,
% 15.37/11.09 (~node4(s259)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20601, 36, 47272])).
% 15.37/11.09 tff(47274,plain,
% 15.37/11.09 (xuntil6(s259) | (~until5(s259))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20608, 294, 47273])).
% 15.37/11.09 tff(47275,plain,
% 15.37/11.09 (~until5(s259)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47274, 47271])).
% 15.37/11.09 tff(47276,plain,
% 15.37/11.09 (~xuntil6(s258)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20617, 47275])).
% 15.37/11.09 tff(47277,plain,
% 15.37/11.09 (~always3(s258)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20626, 47272])).
% 15.37/11.09 tff(47278,plain,
% 15.37/11.09 (~node4(s258)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20630, 36, 47277])).
% 15.37/11.09 tff(47279,plain,
% 15.37/11.09 (xuntil6(s258) | (~until5(s258))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20637, 294, 47278])).
% 15.37/11.09 tff(47280,plain,
% 15.37/11.09 (~until5(s258)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47279, 47276])).
% 15.37/11.09 tff(47281,plain,
% 15.37/11.09 (~xuntil6(s257)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20646, 47280])).
% 15.37/11.09 tff(47282,plain,
% 15.37/11.09 (~always3(s257)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20655, 47277])).
% 15.37/11.09 tff(47283,plain,
% 15.37/11.09 (~node4(s257)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20659, 36, 47282])).
% 15.37/11.09 tff(47284,plain,
% 15.37/11.09 (xuntil6(s257) | (~until5(s257))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20666, 294, 47283])).
% 15.37/11.09 tff(47285,plain,
% 15.37/11.09 (~until5(s257)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47284, 47281])).
% 15.37/11.09 tff(47286,plain,
% 15.37/11.09 (~xuntil6(s256)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20672, 47285])).
% 15.37/11.09 tff(47287,plain,
% 15.37/11.09 (~always3(s256)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19912, 47282])).
% 15.37/11.09 tff(47288,plain,
% 15.37/11.09 (~node4(s256)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20677, 36, 47287])).
% 15.37/11.09 tff(47289,plain,
% 15.37/11.09 (xuntil6(s256) | (~until5(s256))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[20684, 294, 47288])).
% 15.37/11.09 tff(47290,plain,
% 15.37/11.09 (~until5(s256)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47289, 47286])).
% 15.37/11.09 tff(47291,plain,
% 15.37/11.09 (~xuntil6(s255)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19898, 47290])).
% 15.37/11.09 tff(47292,plain,
% 15.37/11.09 (~always3(s255)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19863, 47287])).
% 15.37/11.09 tff(47293,plain,
% 15.37/11.09 (~node4(s255)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19687, 36, 47292])).
% 15.37/11.09 tff(47294,plain,
% 15.37/11.09 (xuntil6(s255) | (~until5(s255))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19694, 294, 47293])).
% 15.37/11.09 tff(47295,plain,
% 15.37/11.09 (~until5(s255)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47294, 47291])).
% 15.37/11.09 tff(47296,plain,
% 15.37/11.09 (~xuntil6(s254)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19678, 47295])).
% 15.37/11.09 tff(47297,plain,
% 15.37/11.09 (~always3(s254)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19643, 47292])).
% 15.37/11.09 tff(47298,plain,
% 15.37/11.09 (~node4(s254)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19631, 36, 47297])).
% 15.37/11.09 tff(47299,plain,
% 15.37/11.09 (xuntil6(s254) | (~until5(s254))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19672, 294, 47298])).
% 15.37/11.09 tff(47300,plain,
% 15.37/11.09 (~until5(s254)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47299, 47296])).
% 15.37/11.09 tff(47301,plain,
% 15.37/11.09 (~xuntil6(s253)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[19622, 47300])).
% 15.37/11.09 tff(47302,plain,
% 15.37/11.09 (~always3(s253)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18295, 47297])).
% 15.37/11.09 tff(47303,plain,
% 15.37/11.09 (~node4(s253)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17239, 36, 47302])).
% 15.37/11.09 tff(47304,plain,
% 15.37/11.09 (xuntil6(s253) | (~until5(s253))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17246, 294, 47303])).
% 15.37/11.09 tff(47305,plain,
% 15.37/11.09 (~until5(s253)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47304, 47301])).
% 15.37/11.09 tff(47306,plain,
% 15.37/11.09 (~xuntil6(s252)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17252, 47305])).
% 15.37/11.09 tff(47307,plain,
% 15.37/11.09 (~always3(s252)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17219, 47302])).
% 15.37/11.09 tff(47308,plain,
% 15.37/11.09 (~node4(s252)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17261, 36, 47307])).
% 15.37/11.09 tff(47309,plain,
% 15.37/11.09 (xuntil6(s252) | (~until5(s252))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17297, 294, 47308])).
% 15.37/11.09 tff(47310,plain,
% 15.37/11.09 (~until5(s252)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47309, 47306])).
% 15.37/11.09 tff(47311,plain,
% 15.37/11.09 (~xuntil6(s251)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17303, 47310])).
% 15.37/11.09 tff(47312,plain,
% 15.37/11.09 (~always3(s251)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17231, 47307])).
% 15.37/11.09 tff(47313,plain,
% 15.37/11.09 (~node4(s251)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17235, 36, 47312])).
% 15.37/11.09 tff(47314,plain,
% 15.37/11.09 (xuntil6(s251) | (~until5(s251))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17310, 294, 47313])).
% 15.37/11.09 tff(47315,plain,
% 15.37/11.09 (~until5(s251)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47314, 47311])).
% 15.37/11.09 tff(47316,plain,
% 15.37/11.09 (~xuntil6(s250)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17318, 47315])).
% 15.37/11.09 tff(47317,plain,
% 15.37/11.09 (~always3(s250)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17336, 47312])).
% 15.37/11.09 tff(47318,plain,
% 15.37/11.09 (~node4(s250)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17327, 36, 47317])).
% 15.37/11.09 tff(47319,plain,
% 15.37/11.09 (xuntil6(s250) | (~until5(s250))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17371, 294, 47318])).
% 15.37/11.09 tff(47320,plain,
% 15.37/11.09 (~until5(s250)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47319, 47316])).
% 15.37/11.09 tff(47321,plain,
% 15.37/11.09 (~xuntil6(s249)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17380, 47320])).
% 15.37/11.09 tff(47322,plain,
% 15.37/11.09 (~always3(s249)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17390, 47317])).
% 15.37/11.09 tff(47323,plain,
% 15.37/11.09 (~node4(s249)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17394, 36, 47322])).
% 15.37/11.09 tff(47324,plain,
% 15.37/11.09 (xuntil6(s249) | (~until5(s249))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17401, 294, 47323])).
% 15.37/11.09 tff(47325,plain,
% 15.37/11.09 (~until5(s249)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47324, 47321])).
% 15.37/11.09 tff(47326,plain,
% 15.37/11.09 (~xuntil6(s248)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17410, 47325])).
% 15.37/11.09 tff(47327,plain,
% 15.37/11.09 (~always3(s248)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17419, 47322])).
% 15.37/11.09 tff(47328,plain,
% 15.37/11.09 (~node4(s248)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17423, 36, 47327])).
% 15.37/11.09 tff(47329,plain,
% 15.37/11.09 (xuntil6(s248) | (~until5(s248))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17430, 294, 47328])).
% 15.37/11.09 tff(47330,plain,
% 15.37/11.09 (~until5(s248)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47329, 47326])).
% 15.37/11.09 tff(47331,plain,
% 15.37/11.09 (~xuntil6(s247)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17439, 47330])).
% 15.37/11.09 tff(47332,plain,
% 15.37/11.09 (~always3(s247)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17448, 47327])).
% 15.37/11.09 tff(47333,plain,
% 15.37/11.09 (~node4(s247)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17452, 36, 47332])).
% 15.37/11.09 tff(47334,plain,
% 15.37/11.09 (xuntil6(s247) | (~until5(s247))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17459, 294, 47333])).
% 15.37/11.09 tff(47335,plain,
% 15.37/11.09 (~until5(s247)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47334, 47331])).
% 15.37/11.09 tff(47336,plain,
% 15.37/11.09 (~xuntil6(s246)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17468, 47335])).
% 15.37/11.09 tff(47337,plain,
% 15.37/11.09 (~always3(s246)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17477, 47332])).
% 15.37/11.09 tff(47338,plain,
% 15.37/11.09 (~node4(s246)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17481, 36, 47337])).
% 15.37/11.09 tff(47339,plain,
% 15.37/11.09 (xuntil6(s246) | (~until5(s246))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17488, 294, 47338])).
% 15.37/11.09 tff(47340,plain,
% 15.37/11.09 (~until5(s246)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47339, 47336])).
% 15.37/11.09 tff(47341,plain,
% 15.37/11.09 (~xuntil6(s245)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17497, 47340])).
% 15.37/11.09 tff(47342,plain,
% 15.37/11.09 (~always3(s245)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17506, 47337])).
% 15.37/11.09 tff(47343,plain,
% 15.37/11.09 (~node4(s245)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17510, 36, 47342])).
% 15.37/11.09 tff(47344,plain,
% 15.37/11.09 (xuntil6(s245) | (~until5(s245))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17517, 294, 47343])).
% 15.37/11.09 tff(47345,plain,
% 15.37/11.09 (~until5(s245)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47344, 47341])).
% 15.37/11.09 tff(47346,plain,
% 15.37/11.09 (~xuntil6(s244)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17526, 47345])).
% 15.37/11.09 tff(47347,plain,
% 15.37/11.09 (~always3(s244)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17535, 47342])).
% 15.37/11.09 tff(47348,plain,
% 15.37/11.09 (~node4(s244)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17539, 36, 47347])).
% 15.37/11.09 tff(47349,plain,
% 15.37/11.09 (xuntil6(s244) | (~until5(s244))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17546, 294, 47348])).
% 15.37/11.09 tff(47350,plain,
% 15.37/11.09 (~until5(s244)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47349, 47346])).
% 15.37/11.09 tff(47351,plain,
% 15.37/11.09 (~xuntil6(s243)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17555, 47350])).
% 15.37/11.09 tff(47352,plain,
% 15.37/11.09 (~always3(s243)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17564, 47347])).
% 15.37/11.09 tff(47353,plain,
% 15.37/11.09 (~node4(s243)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17568, 36, 47352])).
% 15.37/11.09 tff(47354,plain,
% 15.37/11.09 (xuntil6(s243) | (~until5(s243))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17575, 294, 47353])).
% 15.37/11.09 tff(47355,plain,
% 15.37/11.09 (~until5(s243)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47354, 47351])).
% 15.37/11.09 tff(47356,plain,
% 15.37/11.09 (~xuntil6(s242)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17584, 47355])).
% 15.37/11.09 tff(47357,plain,
% 15.37/11.09 (~always3(s242)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17593, 47352])).
% 15.37/11.09 tff(47358,plain,
% 15.37/11.09 (~node4(s242)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17597, 36, 47357])).
% 15.37/11.09 tff(47359,plain,
% 15.37/11.09 (xuntil6(s242) | (~until5(s242))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17604, 294, 47358])).
% 15.37/11.09 tff(47360,plain,
% 15.37/11.09 (~until5(s242)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47359, 47356])).
% 15.37/11.09 tff(47361,plain,
% 15.37/11.09 (~xuntil6(s241)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17613, 47360])).
% 15.37/11.09 tff(47362,plain,
% 15.37/11.09 (~always3(s241)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17622, 47357])).
% 15.37/11.09 tff(47363,plain,
% 15.37/11.09 (~node4(s241)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17626, 36, 47362])).
% 15.37/11.09 tff(47364,plain,
% 15.37/11.09 (xuntil6(s241) | (~until5(s241))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17633, 294, 47363])).
% 15.37/11.09 tff(47365,plain,
% 15.37/11.09 (~until5(s241)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47364, 47361])).
% 15.37/11.09 tff(47366,plain,
% 15.37/11.09 (~xuntil6(s240)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17642, 47365])).
% 15.37/11.09 tff(47367,plain,
% 15.37/11.09 (~always3(s240)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17651, 47362])).
% 15.37/11.09 tff(47368,plain,
% 15.37/11.09 (~node4(s240)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17655, 36, 47367])).
% 15.37/11.09 tff(47369,plain,
% 15.37/11.09 (xuntil6(s240) | (~until5(s240))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17662, 294, 47368])).
% 15.37/11.09 tff(47370,plain,
% 15.37/11.09 (~until5(s240)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47369, 47366])).
% 15.37/11.09 tff(47371,plain,
% 15.37/11.09 (~xuntil6(s239)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17671, 47370])).
% 15.37/11.09 tff(47372,plain,
% 15.37/11.09 (~always3(s239)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17689, 47367])).
% 15.37/11.09 tff(47373,plain,
% 15.37/11.09 (~node4(s239)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17680, 36, 47372])).
% 15.37/11.09 tff(47374,plain,
% 15.37/11.09 (xuntil6(s239) | (~until5(s239))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17724, 294, 47373])).
% 15.37/11.09 tff(47375,plain,
% 15.37/11.09 (~until5(s239)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47374, 47371])).
% 15.37/11.09 tff(47376,plain,
% 15.37/11.09 (~xuntil6(s238)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17733, 47375])).
% 15.37/11.09 tff(47377,plain,
% 15.37/11.09 (~always3(s238)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17743, 47372])).
% 15.37/11.09 tff(47378,plain,
% 15.37/11.09 (~node4(s238)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17747, 36, 47377])).
% 15.37/11.09 tff(47379,plain,
% 15.37/11.09 (xuntil6(s238) | (~until5(s238))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17754, 294, 47378])).
% 15.37/11.09 tff(47380,plain,
% 15.37/11.09 (~until5(s238)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47379, 47376])).
% 15.37/11.09 tff(47381,plain,
% 15.37/11.09 (~xuntil6(s237)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17763, 47380])).
% 15.37/11.09 tff(47382,plain,
% 15.37/11.09 (~always3(s237)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17772, 47377])).
% 15.37/11.09 tff(47383,plain,
% 15.37/11.09 (~node4(s237)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17776, 36, 47382])).
% 15.37/11.09 tff(47384,plain,
% 15.37/11.09 (xuntil6(s237) | (~until5(s237))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17783, 294, 47383])).
% 15.37/11.09 tff(47385,plain,
% 15.37/11.09 (~until5(s237)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47384, 47381])).
% 15.37/11.09 tff(47386,plain,
% 15.37/11.09 (~xuntil6(s236)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18281, 47385])).
% 15.37/11.09 tff(47387,plain,
% 15.37/11.09 (~always3(s236)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17796, 47382])).
% 15.37/11.09 tff(47388,plain,
% 15.37/11.09 (~node4(s236)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18239, 36, 47387])).
% 15.37/11.09 tff(47389,plain,
% 15.37/11.09 (xuntil6(s236) | (~until5(s236))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18275, 294, 47388])).
% 15.37/11.09 tff(47390,plain,
% 15.37/11.09 (~until5(s236)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47389, 47386])).
% 15.37/11.09 tff(47391,plain,
% 15.37/11.09 (~xuntil6(s235)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18230, 47390])).
% 15.37/11.09 tff(47392,plain,
% 15.37/11.09 (~always3(s235)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17808, 47387])).
% 15.37/11.09 tff(47393,plain,
% 15.37/11.09 (~node4(s235)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18217, 36, 47392])).
% 15.37/11.09 tff(47394,plain,
% 15.37/11.09 (xuntil6(s235) | (~until5(s235))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18224, 294, 47393])).
% 15.37/11.09 tff(47395,plain,
% 15.37/11.09 (~until5(s235)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47394, 47391])).
% 15.37/11.09 tff(47396,plain,
% 15.37/11.09 (~xuntil6(s234)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18213, 47395])).
% 15.37/11.09 tff(47397,plain,
% 15.37/11.09 (~always3(s234)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17820, 47392])).
% 15.37/11.09 tff(47398,plain,
% 15.37/11.09 (~node4(s234)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18200, 36, 47397])).
% 15.37/11.09 tff(47399,plain,
% 15.37/11.09 (xuntil6(s234) | (~until5(s234))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18207, 294, 47398])).
% 15.37/11.09 tff(47400,plain,
% 15.37/11.09 (~until5(s234)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47399, 47396])).
% 15.37/11.09 tff(47401,plain,
% 15.37/11.09 (~xuntil6(s233)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18196, 47400])).
% 15.37/11.09 tff(47402,plain,
% 15.37/11.09 (~always3(s233)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17832, 47397])).
% 15.37/11.09 tff(47403,plain,
% 15.37/11.09 (~node4(s233)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18183, 36, 47402])).
% 15.37/11.09 tff(47404,plain,
% 15.37/11.09 (xuntil6(s233) | (~until5(s233))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18190, 294, 47403])).
% 15.37/11.09 tff(47405,plain,
% 15.37/11.09 (~until5(s233)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47404, 47401])).
% 15.37/11.09 tff(47406,plain,
% 15.37/11.09 (~xuntil6(s232)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18179, 47405])).
% 15.37/11.09 tff(47407,plain,
% 15.37/11.09 (~always3(s232)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17844, 47402])).
% 15.37/11.09 tff(47408,plain,
% 15.37/11.09 (~node4(s232)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18166, 36, 47407])).
% 15.37/11.09 tff(47409,plain,
% 15.37/11.09 (xuntil6(s232) | (~until5(s232))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18173, 294, 47408])).
% 15.37/11.09 tff(47410,plain,
% 15.37/11.09 (~until5(s232)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47409, 47406])).
% 15.37/11.09 tff(47411,plain,
% 15.37/11.09 (~xuntil6(s231)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18162, 47410])).
% 15.37/11.09 tff(47412,plain,
% 15.37/11.09 (~always3(s231)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17856, 47407])).
% 15.37/11.09 tff(47413,plain,
% 15.37/11.09 (~node4(s231)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18149, 36, 47412])).
% 15.37/11.09 tff(47414,plain,
% 15.37/11.09 (xuntil6(s231) | (~until5(s231))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18156, 294, 47413])).
% 15.37/11.09 tff(47415,plain,
% 15.37/11.09 (~until5(s231)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47414, 47411])).
% 15.37/11.09 tff(47416,plain,
% 15.37/11.09 (~xuntil6(s230)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18145, 47415])).
% 15.37/11.09 tff(47417,plain,
% 15.37/11.09 (~always3(s230)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17868, 47412])).
% 15.37/11.09 tff(47418,plain,
% 15.37/11.09 (~node4(s230)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18132, 36, 47417])).
% 15.37/11.09 tff(47419,plain,
% 15.37/11.09 (xuntil6(s230) | (~until5(s230))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18139, 294, 47418])).
% 15.37/11.09 tff(47420,plain,
% 15.37/11.09 (~until5(s230)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47419, 47416])).
% 15.37/11.09 tff(47421,plain,
% 15.37/11.09 (~xuntil6(s229)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18128, 47420])).
% 15.37/11.09 tff(47422,plain,
% 15.37/11.09 (~always3(s229)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17880, 47417])).
% 15.37/11.09 tff(47423,plain,
% 15.37/11.09 (~node4(s229)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18115, 36, 47422])).
% 15.37/11.09 tff(47424,plain,
% 15.37/11.09 (xuntil6(s229) | (~until5(s229))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18122, 294, 47423])).
% 15.37/11.09 tff(47425,plain,
% 15.37/11.09 (~until5(s229)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47424, 47421])).
% 15.37/11.09 tff(47426,plain,
% 15.37/11.09 (~xuntil6(s228)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18111, 47425])).
% 15.37/11.09 tff(47427,plain,
% 15.37/11.09 (~always3(s228)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17892, 47422])).
% 15.37/11.09 tff(47428,plain,
% 15.37/11.09 (~node4(s228)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18098, 36, 47427])).
% 15.37/11.09 tff(47429,plain,
% 15.37/11.09 (xuntil6(s228) | (~until5(s228))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18105, 294, 47428])).
% 15.37/11.09 tff(47430,plain,
% 15.37/11.09 (~until5(s228)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47429, 47426])).
% 15.37/11.09 tff(47431,plain,
% 15.37/11.09 (~xuntil6(s227)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18094, 47430])).
% 15.37/11.09 tff(47432,plain,
% 15.37/11.09 (~always3(s227)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17904, 47427])).
% 15.37/11.09 tff(47433,plain,
% 15.37/11.09 (~node4(s227)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18081, 36, 47432])).
% 15.37/11.09 tff(47434,plain,
% 15.37/11.09 (xuntil6(s227) | (~until5(s227))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18088, 294, 47433])).
% 15.37/11.09 tff(47435,plain,
% 15.37/11.09 (~until5(s227)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47434, 47431])).
% 15.37/11.09 tff(47436,plain,
% 15.37/11.09 (~xuntil6(s226)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18077, 47435])).
% 15.37/11.09 tff(47437,plain,
% 15.37/11.09 (~always3(s226)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17916, 47432])).
% 15.37/11.09 tff(47438,plain,
% 15.37/11.09 (~node4(s226)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18064, 36, 47437])).
% 15.37/11.09 tff(47439,plain,
% 15.37/11.09 (xuntil6(s226) | (~until5(s226))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18071, 294, 47438])).
% 15.37/11.09 tff(47440,plain,
% 15.37/11.09 (~until5(s226)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47439, 47436])).
% 15.37/11.09 tff(47441,plain,
% 15.37/11.09 (~xuntil6(s225)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18060, 47440])).
% 15.37/11.09 tff(47442,plain,
% 15.37/11.09 (~always3(s225)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17928, 47437])).
% 15.37/11.09 tff(47443,plain,
% 15.37/11.09 (~node4(s225)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18047, 36, 47442])).
% 15.37/11.09 tff(47444,plain,
% 15.37/11.09 (xuntil6(s225) | (~until5(s225))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18054, 294, 47443])).
% 15.37/11.09 tff(47445,plain,
% 15.37/11.09 (~until5(s225)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47444, 47441])).
% 15.37/11.09 tff(47446,plain,
% 15.37/11.09 (~xuntil6(s224)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18043, 47445])).
% 15.37/11.09 tff(47447,plain,
% 15.37/11.09 (~always3(s224)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17940, 47442])).
% 15.37/11.09 tff(47448,plain,
% 15.37/11.09 (~node4(s224)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18030, 36, 47447])).
% 15.37/11.09 tff(47449,plain,
% 15.37/11.09 (xuntil6(s224) | (~until5(s224))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18037, 294, 47448])).
% 15.37/11.09 tff(47450,plain,
% 15.37/11.09 (~until5(s224)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47449, 47446])).
% 15.37/11.09 tff(47451,plain,
% 15.37/11.09 (~xuntil6(s223)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18026, 47450])).
% 15.37/11.09 tff(47452,plain,
% 15.37/11.09 (~always3(s223)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17952, 47447])).
% 15.37/11.09 tff(47453,plain,
% 15.37/11.09 (~node4(s223)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18013, 36, 47452])).
% 15.37/11.09 tff(47454,plain,
% 15.37/11.09 (xuntil6(s223) | (~until5(s223))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18020, 294, 47453])).
% 15.37/11.09 tff(47455,plain,
% 15.37/11.09 (~until5(s223)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47454, 47451])).
% 15.37/11.09 tff(47456,plain,
% 15.37/11.09 (~xuntil6(s222)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18009, 47455])).
% 15.37/11.09 tff(47457,plain,
% 15.37/11.09 (~always3(s222)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17964, 47452])).
% 15.37/11.09 tff(47458,plain,
% 15.37/11.09 (~node4(s222)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17968, 36, 47457])).
% 15.37/11.09 tff(47459,plain,
% 15.37/11.09 (xuntil6(s222) | (~until5(s222))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[18004, 294, 47458])).
% 15.37/11.09 tff(47460,plain,
% 15.37/11.09 (~until5(s222)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47459, 47456])).
% 15.37/11.09 tff(47461,plain,
% 15.37/11.09 (~xuntil6(s221)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17997, 47460])).
% 15.37/11.09 tff(47462,plain,
% 15.37/11.09 (~always3(s221)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17980, 47457])).
% 15.37/11.09 tff(47463,plain,
% 15.37/11.09 (~node4(s221)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17984, 36, 47462])).
% 15.37/11.09 tff(47464,plain,
% 15.37/11.09 (xuntil6(s221) | (~until5(s221))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17991, 294, 47463])).
% 15.37/11.09 tff(47465,plain,
% 15.37/11.09 (~until5(s221)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47464, 47461])).
% 15.37/11.09 tff(47466,plain,
% 15.37/11.09 (~xuntil6(s220)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[17204, 47465])).
% 15.37/11.09 tff(47467,plain,
% 15.37/11.09 (~always3(s220)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15896, 47462])).
% 15.37/11.09 tff(47468,plain,
% 15.37/11.09 (~node4(s220)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14883, 36, 47467])).
% 15.37/11.09 tff(47469,plain,
% 15.37/11.09 (xuntil6(s220) | (~until5(s220))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14890, 294, 47468])).
% 15.37/11.09 tff(47470,plain,
% 15.37/11.09 (~until5(s220)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47469, 47466])).
% 15.37/11.09 tff(47471,plain,
% 15.37/11.09 (~xuntil6(s219)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14896, 47470])).
% 15.37/11.09 tff(47472,plain,
% 15.37/11.09 (~always3(s219)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14875, 47467])).
% 15.37/11.09 tff(47473,plain,
% 15.37/11.09 (~node4(s219)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14879, 36, 47472])).
% 15.37/11.09 tff(47474,plain,
% 15.37/11.09 (xuntil6(s219) | (~until5(s219))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14903, 294, 47473])).
% 15.37/11.09 tff(47475,plain,
% 15.37/11.09 (~until5(s219)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47474, 47471])).
% 15.37/11.09 tff(47476,plain,
% 15.37/11.09 (~xuntil6(s218)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14911, 47475])).
% 15.37/11.09 tff(47477,plain,
% 15.37/11.09 (~always3(s218)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14920, 47472])).
% 15.37/11.09 tff(47478,plain,
% 15.37/11.09 (~node4(s218)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14924, 36, 47477])).
% 15.37/11.09 tff(47479,plain,
% 15.37/11.09 (xuntil6(s218) | (~until5(s218))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14931, 294, 47478])).
% 15.37/11.09 tff(47480,plain,
% 15.37/11.09 (~until5(s218)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47479, 47476])).
% 15.37/11.09 tff(47481,plain,
% 15.37/11.09 (~xuntil6(s217)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14940, 47480])).
% 15.37/11.09 tff(47482,plain,
% 15.37/11.09 (~always3(s217)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14949, 47477])).
% 15.37/11.09 tff(47483,plain,
% 15.37/11.09 (~node4(s217)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14953, 36, 47482])).
% 15.37/11.09 tff(47484,plain,
% 15.37/11.09 (xuntil6(s217) | (~until5(s217))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14960, 294, 47483])).
% 15.37/11.09 tff(47485,plain,
% 15.37/11.09 (~until5(s217)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47484, 47481])).
% 15.37/11.09 tff(47486,plain,
% 15.37/11.09 (~xuntil6(s216)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14969, 47485])).
% 15.37/11.09 tff(47487,plain,
% 15.37/11.09 (~always3(s216)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14978, 47482])).
% 15.37/11.09 tff(47488,plain,
% 15.37/11.09 (~node4(s216)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14982, 36, 47487])).
% 15.37/11.09 tff(47489,plain,
% 15.37/11.09 (xuntil6(s216) | (~until5(s216))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14989, 294, 47488])).
% 15.37/11.09 tff(47490,plain,
% 15.37/11.09 (~until5(s216)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47489, 47486])).
% 15.37/11.09 tff(47491,plain,
% 15.37/11.09 (~xuntil6(s215)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14998, 47490])).
% 15.37/11.09 tff(47492,plain,
% 15.37/11.09 (~always3(s215)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15007, 47487])).
% 15.37/11.09 tff(47493,plain,
% 15.37/11.09 (~node4(s215)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15011, 36, 47492])).
% 15.37/11.09 tff(47494,plain,
% 15.37/11.09 (xuntil6(s215) | (~until5(s215))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15018, 294, 47493])).
% 15.37/11.09 tff(47495,plain,
% 15.37/11.09 (~until5(s215)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47494, 47491])).
% 15.37/11.09 tff(47496,plain,
% 15.37/11.09 (~xuntil6(s214)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15027, 47495])).
% 15.37/11.09 tff(47497,plain,
% 15.37/11.09 (~always3(s214)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15036, 47492])).
% 15.37/11.09 tff(47498,plain,
% 15.37/11.09 (~node4(s214)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15040, 36, 47497])).
% 15.37/11.09 tff(47499,plain,
% 15.37/11.09 (xuntil6(s214) | (~until5(s214))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15047, 294, 47498])).
% 15.37/11.09 tff(47500,plain,
% 15.37/11.09 (~until5(s214)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47499, 47496])).
% 15.37/11.09 tff(47501,plain,
% 15.37/11.09 (~xuntil6(s213)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15056, 47500])).
% 15.37/11.09 tff(47502,plain,
% 15.37/11.09 (~always3(s213)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15065, 47497])).
% 15.37/11.09 tff(47503,plain,
% 15.37/11.09 (~node4(s213)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15069, 36, 47502])).
% 15.37/11.09 tff(47504,plain,
% 15.37/11.09 (xuntil6(s213) | (~until5(s213))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15076, 294, 47503])).
% 15.37/11.09 tff(47505,plain,
% 15.37/11.09 (~until5(s213)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47504, 47501])).
% 15.37/11.09 tff(47506,plain,
% 15.37/11.09 (~xuntil6(s212)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15085, 47505])).
% 15.37/11.09 tff(47507,plain,
% 15.37/11.09 (~always3(s212)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15094, 47502])).
% 15.37/11.09 tff(47508,plain,
% 15.37/11.09 (~node4(s212)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15098, 36, 47507])).
% 15.37/11.09 tff(47509,plain,
% 15.37/11.09 (xuntil6(s212) | (~until5(s212))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15105, 294, 47508])).
% 15.37/11.09 tff(47510,plain,
% 15.37/11.09 (~until5(s212)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47509, 47506])).
% 15.37/11.09 tff(47511,plain,
% 15.37/11.09 (~xuntil6(s211)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15114, 47510])).
% 15.37/11.09 tff(47512,plain,
% 15.37/11.09 (~always3(s211)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15123, 47507])).
% 15.37/11.09 tff(47513,plain,
% 15.37/11.09 (~node4(s211)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15127, 36, 47512])).
% 15.37/11.09 tff(47514,plain,
% 15.37/11.09 (xuntil6(s211) | (~until5(s211))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15134, 294, 47513])).
% 15.37/11.09 tff(47515,plain,
% 15.37/11.09 (~until5(s211)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47514, 47511])).
% 15.37/11.09 tff(47516,plain,
% 15.37/11.09 (~xuntil6(s210)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15143, 47515])).
% 15.37/11.09 tff(47517,plain,
% 15.37/11.09 (~always3(s210)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15152, 47512])).
% 15.37/11.09 tff(47518,plain,
% 15.37/11.09 (~node4(s210)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15156, 36, 47517])).
% 15.37/11.09 tff(47519,plain,
% 15.37/11.09 (xuntil6(s210) | (~until5(s210))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15163, 294, 47518])).
% 15.37/11.09 tff(47520,plain,
% 15.37/11.09 (~until5(s210)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47519, 47516])).
% 15.37/11.09 tff(47521,plain,
% 15.37/11.09 (~xuntil6(s209)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15169, 47520])).
% 15.37/11.09 tff(47522,plain,
% 15.37/11.09 (~always3(s209)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14832, 47517])).
% 15.37/11.09 tff(47523,plain,
% 15.37/11.09 (~node4(s209)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[14820, 36, 47522])).
% 15.37/11.09 tff(47524,plain,
% 15.37/11.09 (xuntil6(s209) | (~until5(s209))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15178, 294, 47523])).
% 15.37/11.09 tff(47525,plain,
% 15.37/11.09 (~until5(s209)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47524, 47521])).
% 15.37/11.09 tff(47526,plain,
% 15.37/11.09 (~xuntil6(s208)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15187, 47525])).
% 15.37/11.09 tff(47527,plain,
% 15.37/11.09 (~always3(s208)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15196, 47522])).
% 15.37/11.09 tff(47528,plain,
% 15.37/11.09 (~node4(s208)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15200, 36, 47527])).
% 15.37/11.09 tff(47529,plain,
% 15.37/11.09 (xuntil6(s208) | (~until5(s208))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15207, 294, 47528])).
% 15.37/11.09 tff(47530,plain,
% 15.37/11.09 (~until5(s208)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47529, 47526])).
% 15.37/11.09 tff(47531,plain,
% 15.37/11.09 (~xuntil6(s207)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15216, 47530])).
% 15.37/11.09 tff(47532,plain,
% 15.37/11.09 (~always3(s207)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15225, 47527])).
% 15.37/11.09 tff(47533,plain,
% 15.37/11.09 (~node4(s207)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15229, 36, 47532])).
% 15.37/11.09 tff(47534,plain,
% 15.37/11.09 (xuntil6(s207) | (~until5(s207))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15236, 294, 47533])).
% 15.37/11.09 tff(47535,plain,
% 15.37/11.09 (~until5(s207)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47534, 47531])).
% 15.37/11.09 tff(47536,plain,
% 15.37/11.09 (~xuntil6(s206)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15245, 47535])).
% 15.37/11.09 tff(47537,plain,
% 15.37/11.09 (~always3(s206)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15254, 47532])).
% 15.37/11.09 tff(47538,plain,
% 15.37/11.09 (~node4(s206)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15258, 36, 47537])).
% 15.37/11.09 tff(47539,plain,
% 15.37/11.09 (xuntil6(s206) | (~until5(s206))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15265, 294, 47538])).
% 15.37/11.09 tff(47540,plain,
% 15.37/11.09 (~until5(s206)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47539, 47536])).
% 15.37/11.09 tff(47541,plain,
% 15.37/11.09 (~xuntil6(s205)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15274, 47540])).
% 15.37/11.09 tff(47542,plain,
% 15.37/11.09 (~always3(s205)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15283, 47537])).
% 15.37/11.09 tff(47543,plain,
% 15.37/11.09 (~node4(s205)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15287, 36, 47542])).
% 15.37/11.09 tff(47544,plain,
% 15.37/11.09 (xuntil6(s205) | (~until5(s205))),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[15294, 294, 47543])).
% 15.37/11.09 tff(47545,plain,
% 15.37/11.09 (~until5(s205)),
% 15.37/11.09 inference(unit_resolution,[status(thm)],[47544, 47541])).
% 15.37/11.09 tff(47546,plain,
% 15.37/11.09 (~xuntil6(s204)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15303, 47545])).
% 15.37/11.10 tff(47547,plain,
% 15.37/11.10 (~always3(s204)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15312, 47542])).
% 15.37/11.10 tff(47548,plain,
% 15.37/11.10 (~node4(s204)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15316, 36, 47547])).
% 15.37/11.10 tff(47549,plain,
% 15.37/11.10 (xuntil6(s204) | (~until5(s204))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15323, 294, 47548])).
% 15.37/11.10 tff(47550,plain,
% 15.37/11.10 (~until5(s204)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47549, 47546])).
% 15.37/11.10 tff(47551,plain,
% 15.37/11.10 (~xuntil6(s203)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15332, 47550])).
% 15.37/11.10 tff(47552,plain,
% 15.37/11.10 (~always3(s203)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15341, 47547])).
% 15.37/11.10 tff(47553,plain,
% 15.37/11.10 (~node4(s203)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15345, 36, 47552])).
% 15.37/11.10 tff(47554,plain,
% 15.37/11.10 (xuntil6(s203) | (~until5(s203))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15352, 294, 47553])).
% 15.37/11.10 tff(47555,plain,
% 15.37/11.10 (~until5(s203)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47554, 47551])).
% 15.37/11.10 tff(47556,plain,
% 15.37/11.10 (~xuntil6(s202)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15361, 47555])).
% 15.37/11.10 tff(47557,plain,
% 15.37/11.10 (~always3(s202)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15370, 47552])).
% 15.37/11.10 tff(47558,plain,
% 15.37/11.10 (~node4(s202)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15867, 36, 47557])).
% 15.37/11.10 tff(47559,plain,
% 15.37/11.10 (xuntil6(s202) | (~until5(s202))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15874, 294, 47558])).
% 15.37/11.10 tff(47560,plain,
% 15.37/11.10 (~until5(s202)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47559, 47556])).
% 15.37/11.10 tff(47561,plain,
% 15.37/11.10 (~xuntil6(s201)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15863, 47560])).
% 15.37/11.10 tff(47562,plain,
% 15.37/11.10 (~always3(s201)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15382, 47557])).
% 15.37/11.10 tff(47563,plain,
% 15.37/11.10 (~node4(s201)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15850, 36, 47562])).
% 15.37/11.10 tff(47564,plain,
% 15.37/11.10 (xuntil6(s201) | (~until5(s201))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15857, 294, 47563])).
% 15.37/11.10 tff(47565,plain,
% 15.37/11.10 (~until5(s201)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47564, 47561])).
% 15.37/11.10 tff(47566,plain,
% 15.37/11.10 (~xuntil6(s200)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15846, 47565])).
% 15.37/11.10 tff(47567,plain,
% 15.37/11.10 (~always3(s200)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15394, 47562])).
% 15.37/11.10 tff(47568,plain,
% 15.37/11.10 (~node4(s200)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15833, 36, 47567])).
% 15.37/11.10 tff(47569,plain,
% 15.37/11.10 (xuntil6(s200) | (~until5(s200))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15840, 294, 47568])).
% 15.37/11.10 tff(47570,plain,
% 15.37/11.10 (~until5(s200)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47569, 47566])).
% 15.37/11.10 tff(47571,plain,
% 15.37/11.10 (~always3(s199)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15406, 47567])).
% 15.37/11.10 tff(47572,plain,
% 15.37/11.10 (~always3(s198)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15418, 47571])).
% 15.37/11.10 tff(47573,plain,
% 15.37/11.10 (~always3(s197)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15430, 47572])).
% 15.37/11.10 tff(47574,plain,
% 15.37/11.10 (~always3(s196)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14734, 47573])).
% 15.37/11.10 tff(47575,plain,
% 15.37/11.10 (~always3(s195)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15443, 47574])).
% 15.37/11.10 tff(47576,plain,
% 15.37/11.10 (~always3(s194)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14783, 47575])).
% 15.37/11.10 tff(47577,plain,
% 15.37/11.10 (~always3(s193)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15456, 47576])).
% 15.37/11.10 tff(47578,plain,
% 15.37/11.10 (~always3(s192)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15468, 47577])).
% 15.37/11.10 tff(47579,plain,
% 15.37/11.10 (~always3(s191)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15480, 47578])).
% 15.37/11.10 tff(47580,plain,
% 15.37/11.10 (~always3(s190)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15492, 47579])).
% 15.37/11.10 tff(47581,plain,
% 15.37/11.10 (~always3(s189)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15504, 47580])).
% 15.37/11.10 tff(47582,plain,
% 15.37/11.10 (~always3(s188)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15516, 47581])).
% 15.37/11.10 tff(47583,plain,
% 15.37/11.10 (~always3(s187)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15528, 47582])).
% 15.37/11.10 tff(47584,plain,
% 15.37/11.10 (~always3(s186)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15540, 47583])).
% 15.37/11.10 tff(47585,plain,
% 15.37/11.10 (~always3(s185)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15552, 47584])).
% 15.37/11.10 tff(47586,plain,
% 15.37/11.10 (~always3(s184)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[15568, 47585])).
% 15.37/11.10 tff(47587,plain,
% 15.37/11.10 (~always3(s183)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14483, 47586])).
% 15.37/11.10 tff(47588,plain,
% 15.37/11.10 (~always3(s182)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14151, 47587])).
% 15.37/11.10 tff(47589,plain,
% 15.37/11.10 (~always3(s181)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14196, 47588])).
% 15.37/11.10 tff(47590,plain,
% 15.37/11.10 (~always3(s180)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14225, 47589])).
% 15.37/11.10 tff(47591,plain,
% 15.37/11.10 (~always3(s179)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14254, 47590])).
% 15.37/11.10 tff(47592,plain,
% 15.37/11.10 (~always3(s178)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14283, 47591])).
% 15.37/11.10 tff(47593,plain,
% 15.37/11.10 (~always3(s177)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[14034, 47592])).
% 15.37/11.10 tff(47594,plain,
% 15.37/11.10 (~always3(s176)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13888, 47593])).
% 15.37/11.10 tff(47595,plain,
% 15.37/11.10 (~always3(s175)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13933, 47594])).
% 15.37/11.10 tff(47596,plain,
% 15.37/11.10 (~always3(s174)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13839, 47595])).
% 15.37/11.10 tff(47597,plain,
% 15.37/11.10 (~always3(s173)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13656, 47596])).
% 15.37/11.10 tff(47598,plain,
% 15.37/11.10 (~always3(s172)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13558, 47597])).
% 15.37/11.10 tff(47599,plain,
% 15.37/11.10 (~always3(s171)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13508, 47598])).
% 15.37/11.10 tff(47600,plain,
% 15.37/11.10 (~always3(s170)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13394, 47599])).
% 15.37/11.10 tff(47601,plain,
% 15.37/11.10 (~always3(s169)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13260, 47600])).
% 15.37/11.10 tff(47602,plain,
% 15.37/11.10 (~always3(s168)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13293, 47601])).
% 15.37/11.10 tff(47603,plain,
% 15.37/11.10 (~always3(s167)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13305, 47602])).
% 15.37/11.10 tff(47604,plain,
% 15.37/11.10 (~always3(s166)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13155, 47603])).
% 15.37/11.10 tff(47605,plain,
% 15.37/11.10 (~always3(s165)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13077, 47604])).
% 15.37/11.10 tff(47606,plain,
% 15.37/11.10 (~always3(s164)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13110, 47605])).
% 15.37/11.10 tff(47607,plain,
% 15.37/11.10 (~always3(s163)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[13027, 47606])).
% 15.37/11.10 tff(47608,plain,
% 15.37/11.10 (~always3(s162)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12904, 47607])).
% 15.37/11.10 tff(47609,plain,
% 15.37/11.10 (~always3(s161)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12573, 47608])).
% 15.37/11.10 tff(47610,plain,
% 15.37/11.10 (~always3(s160)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12311, 47609])).
% 15.37/11.10 tff(47611,plain,
% 15.37/11.10 (~always3(s159)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12356, 47610])).
% 15.37/11.10 tff(47612,plain,
% 15.37/11.10 (~always3(s158)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12385, 47611])).
% 15.37/11.10 tff(47613,plain,
% 15.37/11.10 (~always3(s157)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12414, 47612])).
% 15.37/11.10 tff(47614,plain,
% 15.37/11.10 (~always3(s156)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12438, 47613])).
% 15.37/11.10 tff(47615,plain,
% 15.37/11.10 (~always3(s155)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12450, 47614])).
% 15.37/11.10 tff(47616,plain,
% 15.37/11.10 (~always3(s154)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12462, 47615])).
% 15.37/11.10 tff(47617,plain,
% 15.37/11.10 (~always3(s153)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12262, 47616])).
% 15.37/11.10 tff(47618,plain,
% 15.37/11.10 (~always3(s152)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12206, 47617])).
% 15.37/11.10 tff(47619,plain,
% 15.37/11.10 (~always3(s151)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[12149, 47618])).
% 15.37/11.10 tff(47620,plain,
% 15.37/11.10 (~always3(s150)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10326, 47619])).
% 15.37/11.10 tff(47621,plain,
% 15.37/11.10 (~always3(s149)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9315, 47620])).
% 15.37/11.10 tff(47622,plain,
% 15.37/11.10 (~always3(s148)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9360, 47621])).
% 15.37/11.10 tff(47623,plain,
% 15.37/11.10 (~always3(s147)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9389, 47622])).
% 15.37/11.10 tff(47624,plain,
% 15.37/11.10 (~always3(s146)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9418, 47623])).
% 15.37/11.10 tff(47625,plain,
% 15.37/11.10 (~always3(s145)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9447, 47624])).
% 15.37/11.10 tff(47626,plain,
% 15.37/11.10 (~always3(s144)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9476, 47625])).
% 15.37/11.10 tff(47627,plain,
% 15.37/11.10 (~always3(s143)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9191, 47626])).
% 15.37/11.10 tff(47628,plain,
% 15.37/11.10 (~always3(s142)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9513, 47627])).
% 15.37/11.10 tff(47629,plain,
% 15.37/11.10 (~always3(s141)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9272, 47628])).
% 15.37/11.10 tff(47630,plain,
% 15.37/11.10 (~always3(s140)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9557, 47629])).
% 15.37/11.10 tff(47631,plain,
% 15.37/11.10 (~always3(s139)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9586, 47630])).
% 15.37/11.10 tff(47632,plain,
% 15.37/11.10 (~always3(s138)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9615, 47631])).
% 15.37/11.10 tff(47633,plain,
% 15.37/11.10 (~always3(s137)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9644, 47632])).
% 15.37/11.10 tff(47634,plain,
% 15.37/11.10 (~always3(s136)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9673, 47633])).
% 15.37/11.10 tff(47635,plain,
% 15.37/11.10 (~always3(s135)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9702, 47634])).
% 15.37/11.10 tff(47636,plain,
% 15.37/11.10 (~always3(s134)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9731, 47635])).
% 15.37/11.10 tff(47637,plain,
% 15.37/11.10 (~always3(s133)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9760, 47636])).
% 15.37/11.10 tff(47638,plain,
% 15.37/11.10 (~always3(s132)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9772, 47637])).
% 15.37/11.10 tff(47639,plain,
% 15.37/11.10 (~always3(s131)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9784, 47638])).
% 15.37/11.10 tff(47640,plain,
% 15.37/11.10 (~always3(s130)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9796, 47639])).
% 15.37/11.10 tff(47641,plain,
% 15.37/11.10 (~always3(s129)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9808, 47640])).
% 15.37/11.10 tff(47642,plain,
% 15.37/11.10 (~always3(s128)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9820, 47641])).
% 15.37/11.10 tff(47643,plain,
% 15.37/11.10 (~always3(s127)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9832, 47642])).
% 15.37/11.10 tff(47644,plain,
% 15.37/11.10 (~always3(s126)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9844, 47643])).
% 15.37/11.10 tff(47645,plain,
% 15.37/11.10 (~always3(s125)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9856, 47644])).
% 15.37/11.10 tff(47646,plain,
% 15.37/11.10 (~always3(s124)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9868, 47645])).
% 15.37/11.10 tff(47647,plain,
% 15.37/11.10 (~always3(s123)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9880, 47646])).
% 15.37/11.10 tff(47648,plain,
% 15.37/11.10 (~always3(s122)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9892, 47647])).
% 15.37/11.10 tff(47649,plain,
% 15.37/11.10 (~always3(s121)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9904, 47648])).
% 15.37/11.10 tff(47650,plain,
% 15.37/11.10 (~always3(s120)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9916, 47649])).
% 15.37/11.10 tff(47651,plain,
% 15.37/11.10 (~always3(s119)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9928, 47650])).
% 15.37/11.10 tff(47652,plain,
% 15.37/11.10 (~always3(s118)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9940, 47651])).
% 15.37/11.10 tff(47653,plain,
% 15.37/11.10 (~always3(s117)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9952, 47652])).
% 15.37/11.10 tff(47654,plain,
% 15.37/11.10 (~always3(s116)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9968, 47653])).
% 15.37/11.10 tff(47655,plain,
% 15.37/11.10 (~always3(s115)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8896, 47654])).
% 15.37/11.10 tff(47656,plain,
% 15.37/11.10 (~always3(s114)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8806, 47655])).
% 15.37/11.10 tff(47657,plain,
% 15.37/11.10 (~always3(s113)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8739, 47656])).
% 15.37/11.10 tff(47658,plain,
% 15.37/11.10 (~always3(s112)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8701, 47657])).
% 15.37/11.10 tff(47659,plain,
% 15.37/11.10 (~always3(s111)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8639, 47658])).
% 15.37/11.10 tff(47660,plain,
% 15.37/11.10 (~always3(s110)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8342, 47659])).
% 15.37/11.10 tff(47661,plain,
% 15.37/11.10 (~always3(s109)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8183, 47660])).
% 15.37/11.10 tff(47662,plain,
% 15.37/11.10 (~always3(s108)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8019, 47661])).
% 15.37/11.10 tff(47663,plain,
% 15.37/11.10 (~always3(s107)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8064, 47662])).
% 15.37/11.10 tff(47664,plain,
% 15.37/11.10 (~always3(s106)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8076, 47663])).
% 15.37/11.10 tff(47665,plain,
% 15.37/11.10 (~always3(s105)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8092, 47664])).
% 15.37/11.10 tff(47666,plain,
% 15.37/11.10 (~always3(s104)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7969, 47665])).
% 15.37/11.10 tff(47667,plain,
% 15.37/11.10 (~always3(s103)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7454, 47666])).
% 15.37/11.10 tff(47668,plain,
% 15.37/11.10 (~always3(s102)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7088, 47667])).
% 15.37/11.10 tff(47669,plain,
% 15.37/11.10 (~always3(s101)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7133, 47668])).
% 15.37/11.10 tff(47670,plain,
% 15.37/11.10 (~always3(s100)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7162, 47669])).
% 15.37/11.10 tff(47671,plain,
% 15.37/11.10 (~always3(s99)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7191, 47670])).
% 15.37/11.10 tff(47672,plain,
% 15.37/11.10 (~always3(s98)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7220, 47671])).
% 15.37/11.10 tff(47673,plain,
% 15.37/11.10 (~always3(s97)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7016, 47672])).
% 15.37/11.10 tff(47674,plain,
% 15.37/11.10 (~always3(s96)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6978, 47673])).
% 15.37/11.10 tff(47675,plain,
% 15.37/11.10 (~always3(s95)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7252, 47674])).
% 15.37/11.10 tff(47676,plain,
% 15.37/11.10 (~always3(s94)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6622, 47675])).
% 15.37/11.10 tff(47677,plain,
% 15.37/11.10 (~always3(s93)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6572, 47676])).
% 15.37/11.10 tff(47678,plain,
% 15.37/11.10 (~always3(s92)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6516, 47677])).
% 15.37/11.10 tff(47679,plain,
% 15.37/11.10 (~always3(s91)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6312, 47678])).
% 15.37/11.10 tff(47680,plain,
% 15.37/11.10 (~always3(s90)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5700, 47679])).
% 15.37/11.10 tff(47681,plain,
% 15.37/11.10 (~always3(s89)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5712, 47680])).
% 15.37/11.10 tff(47682,plain,
% 15.37/11.10 (~always3(s88)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5724, 47681])).
% 15.37/11.10 tff(47683,plain,
% 15.37/11.10 (~always3(s87)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5736, 47682])).
% 15.37/11.10 tff(47684,plain,
% 15.37/11.10 (~always3(s86)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5748, 47683])).
% 15.37/11.10 tff(47685,plain,
% 15.37/11.10 (~always3(s85)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5760, 47684])).
% 15.37/11.10 tff(47686,plain,
% 15.37/11.10 (~always3(s84)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5772, 47685])).
% 15.37/11.10 tff(47687,plain,
% 15.37/11.10 (~always3(s83)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5784, 47686])).
% 15.37/11.10 tff(47688,plain,
% 15.37/11.10 (~always3(s82)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5796, 47687])).
% 15.37/11.10 tff(47689,plain,
% 15.37/11.10 (~always3(s81)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6219, 47688])).
% 15.37/11.10 tff(47690,plain,
% 15.37/11.10 (~always3(s80)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5627, 47689])).
% 15.37/11.10 tff(47691,plain,
% 15.37/11.10 (~always3(s79)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5571, 47690])).
% 15.37/11.10 tff(47692,plain,
% 15.37/11.10 (~always3(s78)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5515, 47691])).
% 15.37/11.10 tff(47693,plain,
% 15.37/11.10 (~always3(s77)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5459, 47692])).
% 15.37/11.10 tff(47694,plain,
% 15.37/11.10 (~always3(s76)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5403, 47693])).
% 15.37/11.10 tff(47695,plain,
% 15.37/11.10 (~always3(s75)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5347, 47694])).
% 15.37/11.10 tff(47696,plain,
% 15.37/11.10 (~always3(s74)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5291, 47695])).
% 15.37/11.10 tff(47697,plain,
% 15.37/11.10 (~always3(s73)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5235, 47696])).
% 15.37/11.10 tff(47698,plain,
% 15.37/11.10 (~always3(s72)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5179, 47697])).
% 15.37/11.10 tff(47699,plain,
% 15.37/11.10 (~always3(s71)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5123, 47698])).
% 15.37/11.10 tff(47700,plain,
% 15.37/11.10 (~always3(s70)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5067, 47699])).
% 15.37/11.10 tff(47701,plain,
% 15.37/11.10 (~always3(s69)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5011, 47700])).
% 15.37/11.10 tff(47702,plain,
% 15.37/11.10 (~always3(s68)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4955, 47701])).
% 15.37/11.10 tff(47703,plain,
% 15.37/11.10 (~always3(s67)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4899, 47702])).
% 15.37/11.10 tff(47704,plain,
% 15.37/11.10 (~always3(s66)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4835, 47703])).
% 15.37/11.10 tff(47705,plain,
% 15.37/11.10 (~always3(s65)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[129, 47704])).
% 15.37/11.10 tff(47706,plain,
% 15.37/11.10 (~always3(s64)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4721, 47705])).
% 15.37/11.10 tff(47707,plain,
% 15.37/11.10 (~always3(s63)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4528, 47706])).
% 15.37/11.10 tff(47708,plain,
% 15.37/11.10 (~always3(s62)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4065, 47707])).
% 15.37/11.10 tff(47709,plain,
% 15.37/11.10 (~always3(s61)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3929, 47708])).
% 15.37/11.10 tff(47710,plain,
% 15.37/11.10 (~always3(s60)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3969, 47709])).
% 15.37/11.10 tff(47711,plain,
% 15.37/11.10 (~always3(s59)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3985, 47710])).
% 15.37/11.10 tff(47712,plain,
% 15.37/11.10 (~always3(s58)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3735, 47711])).
% 15.37/11.10 tff(47713,plain,
% 15.37/11.10 (~always3(s57)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3747, 47712])).
% 15.37/11.10 tff(47714,plain,
% 15.37/11.10 (~always3(s56)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3759, 47713])).
% 15.37/11.10 tff(47715,plain,
% 15.37/11.10 (~always3(s55)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3686, 47714])).
% 15.37/11.10 tff(47716,plain,
% 15.37/11.10 (~always3(s54)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3630, 47715])).
% 15.37/11.10 tff(47717,plain,
% 15.37/11.10 (~always3(s53)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3530, 47716])).
% 15.37/11.10 tff(47718,plain,
% 15.37/11.10 (~always3(s52)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3474, 47717])).
% 15.37/11.10 tff(47719,plain,
% 15.37/11.10 (~always3(s51)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3232, 47718])).
% 15.37/11.10 tff(47720,plain,
% 15.37/11.10 (~always3(s50)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3048, 47719])).
% 15.37/11.10 tff(47721,plain,
% 15.37/11.10 (~always3(s49)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3093, 47720])).
% 15.37/11.10 tff(47722,plain,
% 15.37/11.10 (~always3(s48)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3122, 47721])).
% 15.37/11.10 tff(47723,plain,
% 15.37/11.10 (~always3(s47)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3151, 47722])).
% 15.37/11.10 tff(47724,plain,
% 15.37/11.10 (~always3(s46)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3175, 47723])).
% 15.37/11.10 tff(47725,plain,
% 15.37/11.10 (~always3(s45)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3000, 47724])).
% 15.37/11.10 tff(47726,plain,
% 15.37/11.10 (~always3(s44)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2944, 47725])).
% 15.37/11.10 tff(47727,plain,
% 15.37/11.10 (~always3(s43)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2888, 47726])).
% 15.37/11.10 tff(47728,plain,
% 15.37/11.10 (~always3(s42)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2832, 47727])).
% 15.37/11.10 tff(47729,plain,
% 15.37/11.10 (~always3(s41)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2773, 47728])).
% 15.37/11.10 tff(47730,plain,
% 15.37/11.10 (~always3(s40)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2699, 47729])).
% 15.37/11.10 tff(47731,plain,
% 15.37/11.10 (~always3(s39)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2661, 47730])).
% 15.37/11.10 tff(47732,plain,
% 15.37/11.10 (~always3(s38)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2599, 47731])).
% 15.37/11.10 tff(47733,plain,
% 15.37/11.10 (~always3(s37)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1912, 47732])).
% 15.37/11.10 tff(47734,plain,
% 15.37/11.10 (~always3(s36)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1333, 47733])).
% 15.37/11.10 tff(47735,plain,
% 15.37/11.10 (~always3(s35)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1378, 47734])).
% 15.37/11.10 tff(47736,plain,
% 15.37/11.10 (~always3(s34)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1407, 47735])).
% 15.37/11.10 tff(47737,plain,
% 15.37/11.10 (~always3(s33)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1436, 47736])).
% 15.37/11.10 tff(47738,plain,
% 15.37/11.10 (~always3(s32)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[200, 47737])).
% 15.37/11.10 tff(47739,plain,
% 15.37/11.10 (~always3(s31)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1480, 47738])).
% 15.37/11.10 tff(47740,plain,
% 15.37/11.10 (~always3(s30)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[249, 47739])).
% 15.37/11.10 tff(47741,plain,
% 15.37/11.10 (~always3(s29)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1524, 47740])).
% 15.37/11.10 tff(47742,plain,
% 15.37/11.10 (~always3(s28)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[151, 47741])).
% 15.37/11.10 tff(47743,plain,
% 15.37/11.10 (~always3(s27)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1568, 47742])).
% 15.37/11.10 tff(47744,plain,
% 15.37/11.10 (~always3(s26)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1592, 47743])).
% 15.37/11.10 tff(47745,plain,
% 15.37/11.10 (~always3(s25)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1604, 47744])).
% 15.37/11.10 tff(47746,plain,
% 15.37/11.10 (~always3(s24)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1616, 47745])).
% 15.37/11.10 tff(47747,plain,
% 15.37/11.10 (~always3(s23)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1628, 47746])).
% 15.37/11.10 tff(47748,plain,
% 15.37/11.10 (~always3(s22)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1640, 47747])).
% 15.37/11.10 tff(47749,plain,
% 15.37/11.10 (~always3(s21)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1652, 47748])).
% 15.37/11.10 tff(47750,plain,
% 15.37/11.10 (~always3(s20)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1664, 47749])).
% 15.37/11.10 tff(47751,plain,
% 15.37/11.10 (~always3(s19)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1676, 47750])).
% 15.37/11.10 tff(47752,plain,
% 15.37/11.10 (~always3(s18)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1688, 47751])).
% 15.37/11.10 tff(47753,plain,
% 15.37/11.10 (~always3(s17)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1700, 47752])).
% 15.37/11.10 tff(47754,plain,
% 15.37/11.10 (~always3(s16)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1716, 47753])).
% 15.37/11.10 tff(47755,plain,
% 15.37/11.10 (~always3(s15)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1259, 47754])).
% 15.37/11.10 tff(47756,plain,
% 15.37/11.10 (~always3(s14)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1142, 47755])).
% 15.37/11.10 tff(47757,plain,
% 15.37/11.10 (~always3(s13)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1093, 47756])).
% 15.37/11.10 tff(47758,plain,
% 15.37/11.10 (~always3(s12)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1037, 47757])).
% 15.37/11.10 tff(47759,plain,
% 15.37/11.10 (~always3(s11)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[981, 47758])).
% 15.37/11.10 tff(47760,plain,
% 15.37/11.10 (~always3(s10)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[925, 47759])).
% 15.37/11.10 tff(47761,plain,
% 15.37/11.10 (~always3(s9)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[869, 47760])).
% 15.37/11.10 tff(47762,plain,
% 15.37/11.10 (~always3(s8)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[813, 47761])).
% 15.37/11.10 tff(47763,plain,
% 15.37/11.10 (~always3(s7)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[737, 47762])).
% 15.37/11.10 tff(47764,plain,
% 15.37/11.10 (~always3(s6)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[696, 47763])).
% 15.37/11.10 tff(47765,plain,
% 15.37/11.10 (~always3(s5)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[615, 47764])).
% 15.37/11.10 tff(47766,plain,
% 15.37/11.10 (~always3(s4)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[548, 47765])).
% 15.37/11.10 tff(47767,plain,
% 15.37/11.10 (~always3(s3)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[499, 47766])).
% 15.37/11.10 tff(47768,plain,
% 15.37/11.10 (~always3(s2)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[420, 47767])).
% 15.37/11.10 tff(47769,plain,
% 15.37/11.10 (~always3(s1)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[328, 47768])).
% 15.37/11.10 tff(47770,plain,
% 15.37/11.10 (~node4(s1)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[369, 36, 47769])).
% 15.37/11.10 tff(47771,plain,
% 15.37/11.10 (~always3(s0)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[340, 47769])).
% 15.37/11.10 tff(47772,plain,
% 15.37/11.10 (~node4(s0)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[344, 36, 47771])).
% 15.37/11.10 tff(47773,plain,
% 15.37/11.10 (xuntil6(s0)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[355, 47772])).
% 15.37/11.10 tff(47774,plain,
% 15.37/11.10 (until5(s1)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[360, 47773])).
% 15.37/11.10 tff(47775,plain,
% 15.37/11.10 (xuntil6(s1)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[405, 294, 47774, 47770])).
% 15.37/11.10 tff(47776,plain,
% 15.37/11.10 (until5(s2)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[319, 47775])).
% 15.37/11.10 tff(47777,plain,
% 15.37/11.10 (~node4(s2)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[283, 36, 47768])).
% 15.37/11.10 tff(47778,plain,
% 15.37/11.10 (xuntil6(s2) | (~until5(s2))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[300, 294, 47777])).
% 15.37/11.10 tff(47779,plain,
% 15.37/11.10 (xuntil6(s2)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47778, 47776])).
% 15.37/11.10 tff(47780,plain,
% 15.37/11.10 (until5(s3)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[478, 47779])).
% 15.37/11.10 tff(47781,plain,
% 15.37/11.10 (~node4(s3)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[487, 36, 47767])).
% 15.37/11.10 tff(47782,plain,
% 15.37/11.10 (xuntil6(s3) | (~until5(s3))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[528, 294, 47781])).
% 15.37/11.10 tff(47783,plain,
% 15.37/11.10 (xuntil6(s3)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47782, 47780])).
% 15.37/11.10 tff(47784,plain,
% 15.37/11.10 (until5(s4)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[534, 47783])).
% 15.37/11.10 tff(47785,plain,
% 15.37/11.10 (~node4(s4)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[552, 36, 47766])).
% 15.37/11.10 tff(47786,plain,
% 15.37/11.10 (xuntil6(s4) | (~until5(s4))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[576, 294, 47785])).
% 15.37/11.10 tff(47787,plain,
% 15.37/11.10 (xuntil6(s4)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47786, 47784])).
% 15.37/11.10 tff(47788,plain,
% 15.37/11.10 (until5(s5)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[569, 47787])).
% 15.37/11.10 tff(47789,plain,
% 15.37/11.10 (~node4(s5)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[556, 36, 47765])).
% 15.37/11.10 tff(47790,plain,
% 15.37/11.10 (xuntil6(s5) | (~until5(s5))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[563, 294, 47789])).
% 15.37/11.10 tff(47791,plain,
% 15.37/11.10 (xuntil6(s5)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47790, 47788])).
% 15.37/11.10 tff(47792,plain,
% 15.37/11.10 (until5(s6)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[670, 47791])).
% 15.37/11.10 tff(47793,plain,
% 15.37/11.10 (~node4(s6)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[700, 36, 47764])).
% 15.37/11.10 tff(47794,plain,
% 15.37/11.10 (xuntil6(s6) | (~until5(s6))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[710, 294, 47793])).
% 15.37/11.10 tff(47795,plain,
% 15.37/11.10 (xuntil6(s6)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47794, 47792])).
% 15.37/11.10 tff(47796,plain,
% 15.37/11.10 (until5(s7)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[716, 47795])).
% 15.37/11.10 tff(47797,plain,
% 15.37/11.10 (~node4(s7)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[676, 36, 47763])).
% 15.37/11.10 tff(47798,plain,
% 15.37/11.10 (xuntil6(s7) | (~until5(s7))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[683, 294, 47797])).
% 15.37/11.10 tff(47799,plain,
% 15.37/11.10 (xuntil6(s7)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47798, 47796])).
% 15.37/11.10 tff(47800,plain,
% 15.37/11.10 (until5(s8)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[792, 47799])).
% 15.37/11.10 tff(47801,plain,
% 15.37/11.10 (~node4(s8)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[801, 36, 47762])).
% 15.37/11.10 tff(47802,plain,
% 15.37/11.10 (xuntil6(s8) | (~until5(s8))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[842, 294, 47801])).
% 15.37/11.10 tff(47803,plain,
% 15.37/11.10 (xuntil6(s8)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47802, 47800])).
% 15.37/11.10 tff(47804,plain,
% 15.37/11.10 (until5(s9)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[848, 47803])).
% 15.37/11.10 tff(47805,plain,
% 15.37/11.10 (~node4(s9)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[857, 36, 47761])).
% 15.37/11.10 tff(47806,plain,
% 15.37/11.10 (xuntil6(s9) | (~until5(s9))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[898, 294, 47805])).
% 15.37/11.10 tff(47807,plain,
% 15.37/11.10 (xuntil6(s9)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47806, 47804])).
% 15.37/11.10 tff(47808,plain,
% 15.37/11.10 (until5(s10)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[904, 47807])).
% 15.37/11.10 tff(47809,plain,
% 15.37/11.10 (~node4(s10)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[913, 36, 47760])).
% 15.37/11.10 tff(47810,plain,
% 15.37/11.10 (xuntil6(s10) | (~until5(s10))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[954, 294, 47809])).
% 15.37/11.10 tff(47811,plain,
% 15.37/11.10 (xuntil6(s10)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47810, 47808])).
% 15.37/11.10 tff(47812,plain,
% 15.37/11.10 (until5(s11)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[960, 47811])).
% 15.37/11.10 tff(47813,plain,
% 15.37/11.10 (~node4(s11)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[969, 36, 47759])).
% 15.37/11.10 tff(47814,plain,
% 15.37/11.10 (xuntil6(s11) | (~until5(s11))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1010, 294, 47813])).
% 15.37/11.10 tff(47815,plain,
% 15.37/11.10 (xuntil6(s11)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47814, 47812])).
% 15.37/11.10 tff(47816,plain,
% 15.37/11.10 (until5(s12)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1016, 47815])).
% 15.37/11.10 tff(47817,plain,
% 15.37/11.10 (~node4(s12)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1025, 36, 47758])).
% 15.37/11.10 tff(47818,plain,
% 15.37/11.10 (xuntil6(s12) | (~until5(s12))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1066, 294, 47817])).
% 15.37/11.10 tff(47819,plain,
% 15.37/11.10 (xuntil6(s12)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47818, 47816])).
% 15.37/11.10 tff(47820,plain,
% 15.37/11.10 (until5(s13)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1072, 47819])).
% 15.37/11.10 tff(47821,plain,
% 15.37/11.10 (~node4(s13)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1081, 36, 47757])).
% 15.37/11.10 tff(47822,plain,
% 15.37/11.10 (xuntil6(s13) | (~until5(s13))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1122, 294, 47821])).
% 15.37/11.10 tff(47823,plain,
% 15.37/11.10 (xuntil6(s13)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47822, 47820])).
% 15.37/11.10 tff(47824,plain,
% 15.37/11.10 (until5(s14)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1128, 47823])).
% 15.37/11.10 tff(47825,plain,
% 15.37/11.10 (~node4(s14)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1146, 36, 47756])).
% 15.37/11.10 tff(47826,plain,
% 15.37/11.10 (xuntil6(s14) | (~until5(s14))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1170, 294, 47825])).
% 15.37/11.10 tff(47827,plain,
% 15.37/11.10 (xuntil6(s14)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47826, 47824])).
% 15.37/11.10 tff(47828,plain,
% 15.37/11.10 (until5(s15)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1163, 47827])).
% 15.37/11.10 tff(47829,plain,
% 15.37/11.10 (~node4(s15)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1150, 36, 47755])).
% 15.37/11.10 tff(47830,plain,
% 15.37/11.10 (xuntil6(s15) | (~until5(s15))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1157, 294, 47829])).
% 15.37/11.10 tff(47831,plain,
% 15.37/11.10 (xuntil6(s15)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47830, 47828])).
% 15.37/11.10 tff(47832,plain,
% 15.37/11.10 (until5(s16)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1318, 47831])).
% 15.37/11.10 tff(47833,plain,
% 15.37/11.10 (~node4(s16)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1720, 36, 47754])).
% 15.37/11.10 tff(47834,plain,
% 15.37/11.10 (xuntil6(s16) | (~until5(s16))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1727, 294, 47833])).
% 15.37/11.10 tff(47835,plain,
% 15.37/11.10 (xuntil6(s16)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47834, 47832])).
% 15.37/11.10 tff(47836,plain,
% 15.37/11.10 (until5(s17)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1733, 47835])).
% 15.37/11.10 tff(47837,plain,
% 15.37/11.10 (~node4(s17)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1704, 36, 47753])).
% 15.37/11.10 tff(47838,plain,
% 15.37/11.10 (xuntil6(s17) | (~until5(s17))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1740, 294, 47837])).
% 15.37/11.10 tff(47839,plain,
% 15.37/11.10 (xuntil6(s17)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47838, 47836])).
% 15.37/11.10 tff(47840,plain,
% 15.37/11.10 (until5(s18)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1745, 47839])).
% 15.37/11.10 tff(47841,plain,
% 15.37/11.10 (~node4(s18)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1749, 36, 47752])).
% 15.37/11.10 tff(47842,plain,
% 15.37/11.10 (xuntil6(s18) | (~until5(s18))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1756, 294, 47841])).
% 15.37/11.10 tff(47843,plain,
% 15.37/11.10 (xuntil6(s18)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47842, 47840])).
% 15.37/11.10 tff(47844,plain,
% 15.37/11.10 (until5(s19)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1762, 47843])).
% 15.37/11.10 tff(47845,plain,
% 15.37/11.10 (~node4(s19)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1766, 36, 47751])).
% 15.37/11.10 tff(47846,plain,
% 15.37/11.10 (xuntil6(s19) | (~until5(s19))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1773, 294, 47845])).
% 15.37/11.10 tff(47847,plain,
% 15.37/11.10 (xuntil6(s19)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47846, 47844])).
% 15.37/11.10 tff(47848,plain,
% 15.37/11.10 (until5(s20)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1779, 47847])).
% 15.37/11.10 tff(47849,plain,
% 15.37/11.10 (~node4(s20)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1783, 36, 47750])).
% 15.37/11.10 tff(47850,plain,
% 15.37/11.10 (xuntil6(s20) | (~until5(s20))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1790, 294, 47849])).
% 15.37/11.10 tff(47851,plain,
% 15.37/11.10 (xuntil6(s20)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47850, 47848])).
% 15.37/11.10 tff(47852,plain,
% 15.37/11.10 (until5(s21)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1796, 47851])).
% 15.37/11.10 tff(47853,plain,
% 15.37/11.10 (~node4(s21)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1800, 36, 47749])).
% 15.37/11.10 tff(47854,plain,
% 15.37/11.10 (xuntil6(s21) | (~until5(s21))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1807, 294, 47853])).
% 15.37/11.10 tff(47855,plain,
% 15.37/11.10 (xuntil6(s21)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47854, 47852])).
% 15.37/11.10 tff(47856,plain,
% 15.37/11.10 (until5(s22)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1813, 47855])).
% 15.37/11.10 tff(47857,plain,
% 15.37/11.10 (~node4(s22)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1817, 36, 47748])).
% 15.37/11.10 tff(47858,plain,
% 15.37/11.10 (xuntil6(s22) | (~until5(s22))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1824, 294, 47857])).
% 15.37/11.10 tff(47859,plain,
% 15.37/11.10 (xuntil6(s22)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47858, 47856])).
% 15.37/11.10 tff(47860,plain,
% 15.37/11.10 (until5(s23)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1830, 47859])).
% 15.37/11.10 tff(47861,plain,
% 15.37/11.10 (~node4(s23)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1834, 36, 47747])).
% 15.37/11.10 tff(47862,plain,
% 15.37/11.10 (xuntil6(s23) | (~until5(s23))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1841, 294, 47861])).
% 15.37/11.10 tff(47863,plain,
% 15.37/11.10 (xuntil6(s23)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47862, 47860])).
% 15.37/11.10 tff(47864,plain,
% 15.37/11.10 (until5(s24)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1847, 47863])).
% 15.37/11.10 tff(47865,plain,
% 15.37/11.10 (~node4(s24)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1851, 36, 47746])).
% 15.37/11.10 tff(47866,plain,
% 15.37/11.10 (xuntil6(s24) | (~until5(s24))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1858, 294, 47865])).
% 15.37/11.10 tff(47867,plain,
% 15.37/11.10 (xuntil6(s24)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47866, 47864])).
% 15.37/11.10 tff(47868,plain,
% 15.37/11.10 (until5(s25)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1864, 47867])).
% 15.37/11.10 tff(47869,plain,
% 15.37/11.10 (~node4(s25)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1868, 36, 47745])).
% 15.37/11.10 tff(47870,plain,
% 15.37/11.10 (xuntil6(s25) | (~until5(s25))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1875, 294, 47869])).
% 15.37/11.10 tff(47871,plain,
% 15.37/11.10 (xuntil6(s25)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47870, 47868])).
% 15.37/11.10 tff(47872,plain,
% 15.37/11.10 (until5(s26)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1881, 47871])).
% 15.37/11.10 tff(47873,plain,
% 15.37/11.10 (~node4(s26)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1885, 36, 47744])).
% 15.37/11.10 tff(47874,plain,
% 15.37/11.10 (xuntil6(s26) | (~until5(s26))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1892, 294, 47873])).
% 15.37/11.10 tff(47875,plain,
% 15.37/11.10 (xuntil6(s26)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47874, 47872])).
% 15.37/11.10 tff(47876,plain,
% 15.37/11.10 (until5(s27)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1898, 47875])).
% 15.37/11.10 tff(47877,plain,
% 15.37/11.10 (~node4(s27)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1572, 36, 47743])).
% 15.37/11.10 tff(47878,plain,
% 15.37/11.10 (xuntil6(s27) | (~until5(s27))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1579, 294, 47877])).
% 15.37/11.10 tff(47879,plain,
% 15.37/11.10 (xuntil6(s27)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47878, 47876])).
% 15.37/11.10 tff(47880,plain,
% 15.37/11.10 (until5(s28)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1559, 47879])).
% 15.37/11.10 tff(47881,plain,
% 15.37/11.10 (~node4(s28)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[139, 36, 47742])).
% 15.37/11.10 tff(47882,plain,
% 15.37/11.10 (xuntil6(s28) | (~until5(s28))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1550, 294, 47881])).
% 15.37/11.10 tff(47883,plain,
% 15.37/11.10 (xuntil6(s28)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47882, 47880])).
% 15.37/11.10 tff(47884,plain,
% 15.37/11.10 (until5(s29)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1541, 47883])).
% 15.37/11.10 tff(47885,plain,
% 15.37/11.10 (~node4(s29)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1528, 36, 47741])).
% 15.37/11.10 tff(47886,plain,
% 15.37/11.10 (xuntil6(s29) | (~until5(s29))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1535, 294, 47885])).
% 15.37/11.10 tff(47887,plain,
% 15.37/11.10 (xuntil6(s29)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47886, 47884])).
% 15.37/11.10 tff(47888,plain,
% 15.37/11.10 (until5(s30)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1515, 47887])).
% 15.37/11.10 tff(47889,plain,
% 15.37/11.10 (~node4(s30)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[237, 36, 47740])).
% 15.37/11.10 tff(47890,plain,
% 15.37/11.10 (xuntil6(s30) | (~until5(s30))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1506, 294, 47889])).
% 15.37/11.10 tff(47891,plain,
% 15.37/11.10 (xuntil6(s30)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47890, 47888])).
% 15.37/11.10 tff(47892,plain,
% 15.37/11.10 (until5(s31)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1497, 47891])).
% 15.37/11.10 tff(47893,plain,
% 15.37/11.10 (~node4(s31)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1484, 36, 47739])).
% 15.37/11.10 tff(47894,plain,
% 15.37/11.10 (xuntil6(s31) | (~until5(s31))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1491, 294, 47893])).
% 15.37/11.10 tff(47895,plain,
% 15.37/11.10 (xuntil6(s31)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47894, 47892])).
% 15.37/11.10 tff(47896,plain,
% 15.37/11.10 (until5(s32)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1471, 47895])).
% 15.37/11.10 tff(47897,plain,
% 15.37/11.10 (~node4(s32)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[188, 36, 47738])).
% 15.37/11.10 tff(47898,plain,
% 15.37/11.10 (xuntil6(s32) | (~until5(s32))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1462, 294, 47897])).
% 15.37/11.10 tff(47899,plain,
% 15.37/11.10 (xuntil6(s32)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47898, 47896])).
% 15.37/11.10 tff(47900,plain,
% 15.37/11.10 (until5(s33)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1453, 47899])).
% 15.37/11.10 tff(47901,plain,
% 15.37/11.10 (~node4(s33)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1440, 36, 47737])).
% 15.37/11.10 tff(47902,plain,
% 15.37/11.10 (xuntil6(s33) | (~until5(s33))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1447, 294, 47901])).
% 15.37/11.10 tff(47903,plain,
% 15.37/11.10 (xuntil6(s33)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47902, 47900])).
% 15.37/11.10 tff(47904,plain,
% 15.37/11.10 (until5(s34)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1427, 47903])).
% 15.37/11.10 tff(47905,plain,
% 15.37/11.10 (~node4(s34)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1411, 36, 47736])).
% 15.37/11.10 tff(47906,plain,
% 15.37/11.10 (xuntil6(s34) | (~until5(s34))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1418, 294, 47905])).
% 15.37/11.10 tff(47907,plain,
% 15.37/11.10 (xuntil6(s34)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47906, 47904])).
% 15.37/11.10 tff(47908,plain,
% 15.37/11.10 (until5(s35)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1398, 47907])).
% 15.37/11.10 tff(47909,plain,
% 15.37/11.10 (~node4(s35)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1382, 36, 47735])).
% 15.37/11.10 tff(47910,plain,
% 15.37/11.10 (xuntil6(s35) | (~until5(s35))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1389, 294, 47909])).
% 15.37/11.10 tff(47911,plain,
% 15.37/11.10 (xuntil6(s35)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47910, 47908])).
% 15.37/11.10 tff(47912,plain,
% 15.37/11.10 (until5(s36)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1369, 47911])).
% 15.37/11.10 tff(47913,plain,
% 15.37/11.10 (~node4(s36)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1337, 36, 47734])).
% 15.37/11.10 tff(47914,plain,
% 15.37/11.10 (xuntil6(s36) | (~until5(s36))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1361, 294, 47913])).
% 15.37/11.10 tff(47915,plain,
% 15.37/11.10 (xuntil6(s36)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47914, 47912])).
% 15.37/11.10 tff(47916,plain,
% 15.37/11.10 (until5(s37)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1354, 47915])).
% 15.37/11.10 tff(47917,plain,
% 15.37/11.10 (~node4(s37)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1341, 36, 47733])).
% 15.37/11.10 tff(47918,plain,
% 15.37/11.10 (xuntil6(s37) | (~until5(s37))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[1348, 294, 47917])).
% 15.37/11.10 tff(47919,plain,
% 15.37/11.10 (xuntil6(s37)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47918, 47916])).
% 15.37/11.10 tff(47920,plain,
% 15.37/11.10 (until5(s38)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2578, 47919])).
% 15.37/11.10 tff(47921,plain,
% 15.37/11.10 (~node4(s38)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2587, 36, 47732])).
% 15.37/11.10 tff(47922,plain,
% 15.37/11.10 (xuntil6(s38) | (~until5(s38))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2628, 294, 47921])).
% 15.37/11.10 tff(47923,plain,
% 15.37/11.10 (xuntil6(s38)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47922, 47920])).
% 15.37/11.10 tff(47924,plain,
% 15.37/11.10 (until5(s39)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2634, 47923])).
% 15.37/11.10 tff(47925,plain,
% 15.37/11.10 (~node4(s39)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2665, 36, 47731])).
% 15.37/11.10 tff(47926,plain,
% 15.37/11.10 (xuntil6(s39) | (~until5(s39))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2672, 294, 47925])).
% 15.37/11.10 tff(47927,plain,
% 15.37/11.10 (xuntil6(s39)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47926, 47924])).
% 15.37/11.10 tff(47928,plain,
% 15.37/11.10 (until5(s40)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2678, 47927])).
% 15.37/11.10 tff(47929,plain,
% 15.37/11.10 (~node4(s40)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2641, 36, 47730])).
% 15.37/11.10 tff(47930,plain,
% 15.37/11.10 (xuntil6(s40) | (~until5(s40))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2648, 294, 47929])).
% 15.37/11.10 tff(47931,plain,
% 15.37/11.10 (xuntil6(s40)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47930, 47928])).
% 15.37/11.10 tff(47932,plain,
% 15.37/11.10 (until5(s41)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2752, 47931])).
% 15.37/11.10 tff(47933,plain,
% 15.37/11.10 (~node4(s41)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2761, 36, 47729])).
% 15.37/11.10 tff(47934,plain,
% 15.37/11.10 (xuntil6(s41) | (~until5(s41))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2802, 294, 47933])).
% 15.37/11.10 tff(47935,plain,
% 15.37/11.10 (xuntil6(s41)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47934, 47932])).
% 15.37/11.10 tff(47936,plain,
% 15.37/11.10 (until5(s42)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2808, 47935])).
% 15.37/11.10 tff(47937,plain,
% 15.37/11.10 (~node4(s42)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2820, 36, 47728])).
% 15.37/11.10 tff(47938,plain,
% 15.37/11.10 (xuntil6(s42) | (~until5(s42))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2861, 294, 47937])).
% 15.37/11.10 tff(47939,plain,
% 15.37/11.10 (xuntil6(s42)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47938, 47936])).
% 15.37/11.10 tff(47940,plain,
% 15.37/11.10 (until5(s43)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2867, 47939])).
% 15.37/11.10 tff(47941,plain,
% 15.37/11.10 (~node4(s43)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2876, 36, 47727])).
% 15.37/11.10 tff(47942,plain,
% 15.37/11.10 (xuntil6(s43) | (~until5(s43))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2917, 294, 47941])).
% 15.37/11.10 tff(47943,plain,
% 15.37/11.10 (xuntil6(s43)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47942, 47940])).
% 15.37/11.10 tff(47944,plain,
% 15.37/11.10 (until5(s44)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2923, 47943])).
% 15.37/11.10 tff(47945,plain,
% 15.37/11.10 (~node4(s44)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2932, 36, 47726])).
% 15.37/11.10 tff(47946,plain,
% 15.37/11.10 (xuntil6(s44) | (~until5(s44))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2973, 294, 47945])).
% 15.37/11.10 tff(47947,plain,
% 15.37/11.10 (xuntil6(s44)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47946, 47944])).
% 15.37/11.10 tff(47948,plain,
% 15.37/11.10 (until5(s45)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2979, 47947])).
% 15.37/11.10 tff(47949,plain,
% 15.37/11.10 (~node4(s45)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[2988, 36, 47725])).
% 15.37/11.10 tff(47950,plain,
% 15.37/11.10 (xuntil6(s45) | (~until5(s45))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3029, 294, 47949])).
% 15.37/11.10 tff(47951,plain,
% 15.37/11.10 (xuntil6(s45)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47950, 47948])).
% 15.37/11.10 tff(47952,plain,
% 15.37/11.10 (until5(s46)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3035, 47951])).
% 15.37/11.10 tff(47953,plain,
% 15.37/11.10 (~node4(s46)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3198, 36, 47724])).
% 15.37/11.10 tff(47954,plain,
% 15.37/11.10 (xuntil6(s46) | (~until5(s46))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3205, 294, 47953])).
% 15.37/11.10 tff(47955,plain,
% 15.37/11.10 (xuntil6(s46)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47954, 47952])).
% 15.37/11.10 tff(47956,plain,
% 15.37/11.10 (until5(s47)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3211, 47955])).
% 15.37/11.10 tff(47957,plain,
% 15.37/11.10 (~node4(s47)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3155, 36, 47723])).
% 15.37/11.10 tff(47958,plain,
% 15.37/11.10 (xuntil6(s47) | (~until5(s47))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3162, 294, 47957])).
% 15.37/11.10 tff(47959,plain,
% 15.37/11.10 (xuntil6(s47)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47958, 47956])).
% 15.37/11.10 tff(47960,plain,
% 15.37/11.10 (until5(s48)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3142, 47959])).
% 15.37/11.10 tff(47961,plain,
% 15.37/11.10 (~node4(s48)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3126, 36, 47722])).
% 15.37/11.10 tff(47962,plain,
% 15.37/11.10 (xuntil6(s48) | (~until5(s48))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3133, 294, 47961])).
% 15.37/11.10 tff(47963,plain,
% 15.37/11.10 (xuntil6(s48)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47962, 47960])).
% 15.37/11.10 tff(47964,plain,
% 15.37/11.10 (until5(s49)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3113, 47963])).
% 15.37/11.10 tff(47965,plain,
% 15.37/11.10 (~node4(s49)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3097, 36, 47721])).
% 15.37/11.10 tff(47966,plain,
% 15.37/11.10 (xuntil6(s49) | (~until5(s49))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3104, 294, 47965])).
% 15.37/11.10 tff(47967,plain,
% 15.37/11.10 (xuntil6(s49)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47966, 47964])).
% 15.37/11.10 tff(47968,plain,
% 15.37/11.10 (until5(s50)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3084, 47967])).
% 15.37/11.10 tff(47969,plain,
% 15.37/11.10 (~node4(s50)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3052, 36, 47720])).
% 15.37/11.10 tff(47970,plain,
% 15.37/11.10 (xuntil6(s50) | (~until5(s50))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3076, 294, 47969])).
% 15.37/11.10 tff(47971,plain,
% 15.37/11.10 (xuntil6(s50)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47970, 47968])).
% 15.37/11.10 tff(47972,plain,
% 15.37/11.10 (until5(s51)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3069, 47971])).
% 15.37/11.10 tff(47973,plain,
% 15.37/11.10 (~node4(s51)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3056, 36, 47719])).
% 15.37/11.10 tff(47974,plain,
% 15.37/11.10 (xuntil6(s51) | (~until5(s51))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3063, 294, 47973])).
% 15.37/11.10 tff(47975,plain,
% 15.37/11.10 (xuntil6(s51)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47974, 47972])).
% 15.37/11.10 tff(47976,plain,
% 15.37/11.10 (until5(s52)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3453, 47975])).
% 15.37/11.10 tff(47977,plain,
% 15.37/11.10 (~node4(s52)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3462, 36, 47718])).
% 15.37/11.10 tff(47978,plain,
% 15.37/11.10 (xuntil6(s52) | (~until5(s52))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3503, 294, 47977])).
% 15.37/11.10 tff(47979,plain,
% 15.37/11.10 (xuntil6(s52)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47978, 47976])).
% 15.37/11.10 tff(47980,plain,
% 15.37/11.10 (until5(s53)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3509, 47979])).
% 15.37/11.10 tff(47981,plain,
% 15.37/11.10 (~node4(s53)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3518, 36, 47717])).
% 15.37/11.10 tff(47982,plain,
% 15.37/11.10 (xuntil6(s53) | (~until5(s53))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3603, 294, 47981])).
% 15.37/11.10 tff(47983,plain,
% 15.37/11.10 (xuntil6(s53)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47982, 47980])).
% 15.37/11.10 tff(47984,plain,
% 15.37/11.10 (until5(s54)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3609, 47983])).
% 15.37/11.10 tff(47985,plain,
% 15.37/11.10 (~node4(s54)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3618, 36, 47716])).
% 15.37/11.10 tff(47986,plain,
% 15.37/11.10 (xuntil6(s54) | (~until5(s54))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3659, 294, 47985])).
% 15.37/11.10 tff(47987,plain,
% 15.37/11.10 (xuntil6(s54)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47986, 47984])).
% 15.37/11.10 tff(47988,plain,
% 15.37/11.10 (until5(s55)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3665, 47987])).
% 15.37/11.10 tff(47989,plain,
% 15.37/11.10 (~node4(s55)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3674, 36, 47715])).
% 15.37/11.10 tff(47990,plain,
% 15.37/11.10 (xuntil6(s55) | (~until5(s55))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3715, 294, 47989])).
% 15.37/11.10 tff(47991,plain,
% 15.37/11.10 (xuntil6(s55)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47990, 47988])).
% 15.37/11.10 tff(47992,plain,
% 15.37/11.10 (until5(s56)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3721, 47991])).
% 15.37/11.10 tff(47993,plain,
% 15.37/11.10 (~node4(s56)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3835, 36, 47714])).
% 15.37/11.10 tff(47994,plain,
% 15.37/11.10 (xuntil6(s56) | (~until5(s56))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3842, 294, 47993])).
% 15.37/11.10 tff(47995,plain,
% 15.37/11.10 (xuntil6(s56)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47994, 47992])).
% 15.37/11.10 tff(47996,plain,
% 15.37/11.10 (until5(s57)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3848, 47995])).
% 15.37/11.10 tff(47997,plain,
% 15.37/11.10 (~node4(s57)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3852, 36, 47713])).
% 15.37/11.10 tff(47998,plain,
% 15.37/11.10 (xuntil6(s57) | (~until5(s57))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3859, 294, 47997])).
% 15.37/11.10 tff(47999,plain,
% 15.37/11.10 (xuntil6(s57)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[47998, 47996])).
% 15.37/11.10 tff(48000,plain,
% 15.37/11.10 (until5(s58)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3865, 47999])).
% 15.37/11.10 tff(48001,plain,
% 15.37/11.10 (~node4(s58)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3874, 36, 47712])).
% 15.37/11.10 tff(48002,plain,
% 15.37/11.10 (xuntil6(s58) | (~until5(s58))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3910, 294, 48001])).
% 15.37/11.10 tff(48003,plain,
% 15.37/11.10 (xuntil6(s58)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48002, 48000])).
% 15.37/11.10 tff(48004,plain,
% 15.37/11.10 (until5(s59)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3916, 48003])).
% 15.37/11.10 tff(48005,plain,
% 15.37/11.10 (~node4(s59)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3989, 36, 47711])).
% 15.37/11.10 tff(48006,plain,
% 15.37/11.10 (xuntil6(s59) | (~until5(s59))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3997, 294, 48005])).
% 15.37/11.10 tff(48007,plain,
% 15.37/11.10 (xuntil6(s59)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48006, 48004])).
% 15.37/11.10 tff(48008,plain,
% 15.37/11.10 (until5(s60)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4003, 48007])).
% 15.37/11.10 tff(48009,plain,
% 15.37/11.10 (~node4(s60)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3973, 36, 47710])).
% 15.37/11.10 tff(48010,plain,
% 15.37/11.10 (xuntil6(s60) | (~until5(s60))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4010, 294, 48009])).
% 15.37/11.10 tff(48011,plain,
% 15.37/11.10 (xuntil6(s60)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48010, 48008])).
% 15.37/11.10 tff(48012,plain,
% 15.37/11.10 (until5(s61)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4015, 48011])).
% 15.37/11.10 tff(48013,plain,
% 15.37/11.10 (~node4(s61)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3933, 36, 47709])).
% 15.37/11.10 tff(48014,plain,
% 15.37/11.10 (xuntil6(s61) | (~until5(s61))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3957, 294, 48013])).
% 15.37/11.10 tff(48015,plain,
% 15.37/11.10 (xuntil6(s61)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48014, 48012])).
% 15.37/11.10 tff(48016,plain,
% 15.37/11.10 (until5(s62)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3950, 48015])).
% 15.37/11.10 tff(48017,plain,
% 15.37/11.10 (~node4(s62)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3937, 36, 47708])).
% 15.37/11.10 tff(48018,plain,
% 15.37/11.10 (xuntil6(s62) | (~until5(s62))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[3944, 294, 48017])).
% 15.37/11.10 tff(48019,plain,
% 15.37/11.10 (xuntil6(s62)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48018, 48016])).
% 15.37/11.10 tff(48020,plain,
% 15.37/11.10 (until5(s63)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4514, 48019])).
% 15.37/11.10 tff(48021,plain,
% 15.37/11.10 (~node4(s63)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4532, 36, 47707])).
% 15.37/11.10 tff(48022,plain,
% 15.37/11.10 (xuntil6(s63) | (~until5(s63))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4556, 294, 48021])).
% 15.37/11.10 tff(48023,plain,
% 15.37/11.10 (xuntil6(s63)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48022, 48020])).
% 15.37/11.10 tff(48024,plain,
% 15.37/11.10 (until5(s64)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4549, 48023])).
% 15.37/11.10 tff(48025,plain,
% 15.37/11.10 (~node4(s64)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4536, 36, 47706])).
% 15.37/11.10 tff(48026,plain,
% 15.37/11.10 (xuntil6(s64) | (~until5(s64))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4543, 294, 48025])).
% 15.37/11.10 tff(48027,plain,
% 15.37/11.10 (xuntil6(s64)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48026, 48024])).
% 15.37/11.10 tff(48028,plain,
% 15.37/11.10 (until5(s65)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4786, 48027])).
% 15.37/11.10 tff(48029,plain,
% 15.37/11.10 (~node4(s65)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[39, 36, 47705])).
% 15.37/11.10 tff(48030,plain,
% 15.37/11.10 (xuntil6(s65) | (~until5(s65))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4793, 294, 48029])).
% 15.37/11.10 tff(48031,plain,
% 15.37/11.10 (xuntil6(s65)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48030, 48028])).
% 15.37/11.10 tff(48032,plain,
% 15.37/11.10 (until5(s66)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4799, 48031])).
% 15.37/11.10 tff(48033,plain,
% 15.37/11.10 (~node4(s66)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4805, 36, 47704])).
% 15.37/11.10 tff(48034,plain,
% 15.37/11.10 (xuntil6(s66) | (~until5(s66))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4812, 294, 48033])).
% 15.37/11.10 tff(48035,plain,
% 15.37/11.10 (xuntil6(s66)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48034, 48032])).
% 15.37/11.10 tff(48036,plain,
% 15.37/11.10 (until5(s67)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4878, 48035])).
% 15.37/11.10 tff(48037,plain,
% 15.37/11.10 (~node4(s67)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4887, 36, 47703])).
% 15.37/11.10 tff(48038,plain,
% 15.37/11.10 (xuntil6(s67) | (~until5(s67))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4928, 294, 48037])).
% 15.37/11.10 tff(48039,plain,
% 15.37/11.10 (xuntil6(s67)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48038, 48036])).
% 15.37/11.10 tff(48040,plain,
% 15.37/11.10 (until5(s68)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4934, 48039])).
% 15.37/11.10 tff(48041,plain,
% 15.37/11.10 (~node4(s68)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4943, 36, 47702])).
% 15.37/11.10 tff(48042,plain,
% 15.37/11.10 (xuntil6(s68) | (~until5(s68))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4984, 294, 48041])).
% 15.37/11.10 tff(48043,plain,
% 15.37/11.10 (xuntil6(s68)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48042, 48040])).
% 15.37/11.10 tff(48044,plain,
% 15.37/11.10 (until5(s69)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4990, 48043])).
% 15.37/11.10 tff(48045,plain,
% 15.37/11.10 (~node4(s69)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[4999, 36, 47701])).
% 15.37/11.10 tff(48046,plain,
% 15.37/11.10 (xuntil6(s69) | (~until5(s69))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5040, 294, 48045])).
% 15.37/11.10 tff(48047,plain,
% 15.37/11.10 (xuntil6(s69)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48046, 48044])).
% 15.37/11.10 tff(48048,plain,
% 15.37/11.10 (until5(s70)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5046, 48047])).
% 15.37/11.10 tff(48049,plain,
% 15.37/11.10 (~node4(s70)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5055, 36, 47700])).
% 15.37/11.10 tff(48050,plain,
% 15.37/11.10 (xuntil6(s70) | (~until5(s70))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5096, 294, 48049])).
% 15.37/11.10 tff(48051,plain,
% 15.37/11.10 (xuntil6(s70)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48050, 48048])).
% 15.37/11.10 tff(48052,plain,
% 15.37/11.10 (until5(s71)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5102, 48051])).
% 15.37/11.10 tff(48053,plain,
% 15.37/11.10 (~node4(s71)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5111, 36, 47699])).
% 15.37/11.10 tff(48054,plain,
% 15.37/11.10 (xuntil6(s71) | (~until5(s71))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5152, 294, 48053])).
% 15.37/11.10 tff(48055,plain,
% 15.37/11.10 (xuntil6(s71)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48054, 48052])).
% 15.37/11.10 tff(48056,plain,
% 15.37/11.10 (until5(s72)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5158, 48055])).
% 15.37/11.10 tff(48057,plain,
% 15.37/11.10 (~node4(s72)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5167, 36, 47698])).
% 15.37/11.10 tff(48058,plain,
% 15.37/11.10 (xuntil6(s72) | (~until5(s72))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5208, 294, 48057])).
% 15.37/11.10 tff(48059,plain,
% 15.37/11.10 (xuntil6(s72)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48058, 48056])).
% 15.37/11.10 tff(48060,plain,
% 15.37/11.10 (until5(s73)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5214, 48059])).
% 15.37/11.10 tff(48061,plain,
% 15.37/11.10 (~node4(s73)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5223, 36, 47697])).
% 15.37/11.10 tff(48062,plain,
% 15.37/11.10 (xuntil6(s73) | (~until5(s73))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5264, 294, 48061])).
% 15.37/11.10 tff(48063,plain,
% 15.37/11.10 (xuntil6(s73)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48062, 48060])).
% 15.37/11.10 tff(48064,plain,
% 15.37/11.10 (until5(s74)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5270, 48063])).
% 15.37/11.10 tff(48065,plain,
% 15.37/11.10 (~node4(s74)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5279, 36, 47696])).
% 15.37/11.10 tff(48066,plain,
% 15.37/11.10 (xuntil6(s74) | (~until5(s74))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5320, 294, 48065])).
% 15.37/11.10 tff(48067,plain,
% 15.37/11.10 (xuntil6(s74)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48066, 48064])).
% 15.37/11.10 tff(48068,plain,
% 15.37/11.10 (until5(s75)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5326, 48067])).
% 15.37/11.10 tff(48069,plain,
% 15.37/11.10 (~node4(s75)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5335, 36, 47695])).
% 15.37/11.10 tff(48070,plain,
% 15.37/11.10 (xuntil6(s75) | (~until5(s75))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5376, 294, 48069])).
% 15.37/11.10 tff(48071,plain,
% 15.37/11.10 (xuntil6(s75)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48070, 48068])).
% 15.37/11.10 tff(48072,plain,
% 15.37/11.10 (until5(s76)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5382, 48071])).
% 15.37/11.10 tff(48073,plain,
% 15.37/11.10 (~node4(s76)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5391, 36, 47694])).
% 15.37/11.10 tff(48074,plain,
% 15.37/11.10 (xuntil6(s76) | (~until5(s76))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5432, 294, 48073])).
% 15.37/11.10 tff(48075,plain,
% 15.37/11.10 (xuntil6(s76)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48074, 48072])).
% 15.37/11.10 tff(48076,plain,
% 15.37/11.10 (until5(s77)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5438, 48075])).
% 15.37/11.10 tff(48077,plain,
% 15.37/11.10 (~node4(s77)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5447, 36, 47693])).
% 15.37/11.10 tff(48078,plain,
% 15.37/11.10 (xuntil6(s77) | (~until5(s77))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5488, 294, 48077])).
% 15.37/11.10 tff(48079,plain,
% 15.37/11.10 (xuntil6(s77)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48078, 48076])).
% 15.37/11.10 tff(48080,plain,
% 15.37/11.10 (until5(s78)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5494, 48079])).
% 15.37/11.10 tff(48081,plain,
% 15.37/11.10 (~node4(s78)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5503, 36, 47692])).
% 15.37/11.10 tff(48082,plain,
% 15.37/11.10 (xuntil6(s78) | (~until5(s78))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5544, 294, 48081])).
% 15.37/11.10 tff(48083,plain,
% 15.37/11.10 (xuntil6(s78)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48082, 48080])).
% 15.37/11.10 tff(48084,plain,
% 15.37/11.10 (until5(s79)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5550, 48083])).
% 15.37/11.10 tff(48085,plain,
% 15.37/11.10 (~node4(s79)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5559, 36, 47691])).
% 15.37/11.10 tff(48086,plain,
% 15.37/11.10 (xuntil6(s79) | (~until5(s79))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5600, 294, 48085])).
% 15.37/11.10 tff(48087,plain,
% 15.37/11.10 (xuntil6(s79)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48086, 48084])).
% 15.37/11.10 tff(48088,plain,
% 15.37/11.10 (until5(s80)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5606, 48087])).
% 15.37/11.10 tff(48089,plain,
% 15.37/11.10 (~node4(s80)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5615, 36, 47690])).
% 15.37/11.10 tff(48090,plain,
% 15.37/11.10 (xuntil6(s80) | (~until5(s80))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5656, 294, 48089])).
% 15.37/11.10 tff(48091,plain,
% 15.37/11.10 (xuntil6(s80)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48090, 48088])).
% 15.37/11.10 tff(48092,plain,
% 15.37/11.10 (until5(s81)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5662, 48091])).
% 15.37/11.10 tff(48093,plain,
% 15.37/11.10 (~node4(s81)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6223, 36, 47689])).
% 15.37/11.10 tff(48094,plain,
% 15.37/11.10 (xuntil6(s81) | (~until5(s81))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6230, 294, 48093])).
% 15.37/11.10 tff(48095,plain,
% 15.37/11.10 (xuntil6(s81)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48094, 48092])).
% 15.37/11.10 tff(48096,plain,
% 15.37/11.10 (until5(s82)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6210, 48095])).
% 15.37/11.10 tff(48097,plain,
% 15.37/11.10 (~node4(s82)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5800, 36, 47688])).
% 15.37/11.10 tff(48098,plain,
% 15.37/11.10 (xuntil6(s82) | (~until5(s82))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6202, 294, 48097])).
% 15.37/11.10 tff(48099,plain,
% 15.37/11.10 (xuntil6(s82)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48098, 48096])).
% 15.37/11.10 tff(48100,plain,
% 15.37/11.10 (until5(s83)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6195, 48099])).
% 15.37/11.10 tff(48101,plain,
% 15.37/11.10 (~node4(s83)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6159, 36, 47687])).
% 15.37/11.10 tff(48102,plain,
% 15.37/11.10 (xuntil6(s83) | (~until5(s83))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6189, 294, 48101])).
% 15.37/11.10 tff(48103,plain,
% 15.37/11.10 (xuntil6(s83)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48102, 48100])).
% 15.37/11.10 tff(48104,plain,
% 15.37/11.10 (until5(s84)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6150, 48103])).
% 15.37/11.10 tff(48105,plain,
% 15.37/11.10 (~node4(s84)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6114, 36, 47686])).
% 15.37/11.10 tff(48106,plain,
% 15.37/11.10 (xuntil6(s84) | (~until5(s84))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6144, 294, 48105])).
% 15.37/11.10 tff(48107,plain,
% 15.37/11.10 (xuntil6(s84)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48106, 48104])).
% 15.37/11.10 tff(48108,plain,
% 15.37/11.10 (until5(s85)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6105, 48107])).
% 15.37/11.10 tff(48109,plain,
% 15.37/11.10 (~node4(s85)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6069, 36, 47685])).
% 15.37/11.10 tff(48110,plain,
% 15.37/11.10 (xuntil6(s85) | (~until5(s85))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6099, 294, 48109])).
% 15.37/11.10 tff(48111,plain,
% 15.37/11.10 (xuntil6(s85)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48110, 48108])).
% 15.37/11.10 tff(48112,plain,
% 15.37/11.10 (until5(s86)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6060, 48111])).
% 15.37/11.10 tff(48113,plain,
% 15.37/11.10 (~node4(s86)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5984, 36, 47684])).
% 15.37/11.10 tff(48114,plain,
% 15.37/11.10 (xuntil6(s86) | (~until5(s86))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5991, 294, 48113])).
% 15.37/11.10 tff(48115,plain,
% 15.37/11.10 (xuntil6(s86)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48114, 48112])).
% 15.37/11.10 tff(48116,plain,
% 15.37/11.10 (until5(s87)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5997, 48115])).
% 15.37/11.10 tff(48117,plain,
% 15.37/11.10 (~node4(s87)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5971, 36, 47683])).
% 15.37/11.10 tff(48118,plain,
% 15.37/11.10 (xuntil6(s87) | (~until5(s87))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5978, 294, 48117])).
% 15.37/11.10 tff(48119,plain,
% 15.37/11.10 (xuntil6(s87)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48118, 48116])).
% 15.37/11.10 tff(48120,plain,
% 15.37/11.10 (until5(s88)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5964, 48119])).
% 15.37/11.10 tff(48121,plain,
% 15.37/11.10 (~node4(s88)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5928, 36, 47682])).
% 15.37/11.10 tff(48122,plain,
% 15.37/11.10 (xuntil6(s88) | (~until5(s88))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5958, 294, 48121])).
% 15.37/11.10 tff(48123,plain,
% 15.37/11.10 (xuntil6(s88)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48122, 48120])).
% 15.37/11.10 tff(48124,plain,
% 15.37/11.10 (until5(s89)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5919, 48123])).
% 15.37/11.10 tff(48125,plain,
% 15.37/11.10 (~node4(s89)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5837, 36, 47681])).
% 15.37/11.10 tff(48126,plain,
% 15.37/11.10 (xuntil6(s89) | (~until5(s89))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5844, 294, 48125])).
% 15.37/11.10 tff(48127,plain,
% 15.37/11.10 (xuntil6(s89)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48126, 48124])).
% 15.37/11.10 tff(48128,plain,
% 15.37/11.10 (until5(s90)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5850, 48127])).
% 15.37/11.10 tff(48129,plain,
% 15.37/11.10 (~node4(s90)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5824, 36, 47680])).
% 15.37/11.10 tff(48130,plain,
% 15.37/11.10 (xuntil6(s90) | (~until5(s90))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5831, 294, 48129])).
% 15.37/11.10 tff(48131,plain,
% 15.37/11.10 (xuntil6(s90)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48130, 48128])).
% 15.37/11.10 tff(48132,plain,
% 15.37/11.10 (until5(s91)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5817, 48131])).
% 15.37/11.10 tff(48133,plain,
% 15.37/11.10 (~node4(s91)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5804, 36, 47679])).
% 15.37/11.10 tff(48134,plain,
% 15.37/11.10 (xuntil6(s91) | (~until5(s91))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[5811, 294, 48133])).
% 15.37/11.10 tff(48135,plain,
% 15.37/11.10 (xuntil6(s91)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48134, 48132])).
% 15.37/11.10 tff(48136,plain,
% 15.37/11.10 (until5(s92)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6495, 48135])).
% 15.37/11.10 tff(48137,plain,
% 15.37/11.10 (~node4(s92)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6504, 36, 47678])).
% 15.37/11.10 tff(48138,plain,
% 15.37/11.10 (xuntil6(s92) | (~until5(s92))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6545, 294, 48137])).
% 15.37/11.10 tff(48139,plain,
% 15.37/11.10 (xuntil6(s92)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48138, 48136])).
% 15.37/11.10 tff(48140,plain,
% 15.37/11.10 (until5(s93)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6551, 48139])).
% 15.37/11.10 tff(48141,plain,
% 15.37/11.10 (~node4(s93)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6560, 36, 47677])).
% 15.37/11.10 tff(48142,plain,
% 15.37/11.10 (xuntil6(s93) | (~until5(s93))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6601, 294, 48141])).
% 15.37/11.10 tff(48143,plain,
% 15.37/11.10 (xuntil6(s93)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48142, 48140])).
% 15.37/11.10 tff(48144,plain,
% 15.37/11.10 (until5(s94)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6607, 48143])).
% 15.37/11.10 tff(48145,plain,
% 15.37/11.10 (~node4(s94)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6918, 36, 47676])).
% 15.37/11.10 tff(48146,plain,
% 15.37/11.10 (xuntil6(s94) | (~until5(s94))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6925, 294, 48145])).
% 15.37/11.10 tff(48147,plain,
% 15.37/11.10 (xuntil6(s94)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48146, 48144])).
% 15.37/11.10 tff(48148,plain,
% 15.37/11.10 (until5(s95)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6931, 48147])).
% 15.37/11.10 tff(48149,plain,
% 15.37/11.10 (~node4(s95)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6935, 36, 47675])).
% 15.37/11.10 tff(48150,plain,
% 15.37/11.10 (xuntil6(s95) | (~until5(s95))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6942, 294, 48149])).
% 15.37/11.10 tff(48151,plain,
% 15.37/11.10 (xuntil6(s95)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48150, 48148])).
% 15.37/11.10 tff(48152,plain,
% 15.37/11.10 (until5(s96)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6951, 48151])).
% 15.37/11.10 tff(48153,plain,
% 15.37/11.10 (~node4(s96)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6982, 36, 47674])).
% 15.37/11.10 tff(48154,plain,
% 15.37/11.10 (xuntil6(s96) | (~until5(s96))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6989, 294, 48153])).
% 15.37/11.10 tff(48155,plain,
% 15.37/11.10 (xuntil6(s96)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48154, 48152])).
% 15.37/11.10 tff(48156,plain,
% 15.37/11.10 (until5(s97)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6995, 48155])).
% 15.37/11.10 tff(48157,plain,
% 15.37/11.10 (~node4(s97)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6958, 36, 47673])).
% 15.37/11.10 tff(48158,plain,
% 15.37/11.10 (xuntil6(s97) | (~until5(s97))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[6965, 294, 48157])).
% 15.37/11.10 tff(48159,plain,
% 15.37/11.10 (xuntil6(s97)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48158, 48156])).
% 15.37/11.10 tff(48160,plain,
% 15.37/11.10 (until5(s98)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7075, 48159])).
% 15.37/11.10 tff(48161,plain,
% 15.37/11.10 (~node4(s98)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7224, 36, 47672])).
% 15.37/11.10 tff(48162,plain,
% 15.37/11.10 (xuntil6(s98) | (~until5(s98))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7231, 294, 48161])).
% 15.37/11.10 tff(48163,plain,
% 15.37/11.10 (xuntil6(s98)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48162, 48160])).
% 15.37/11.10 tff(48164,plain,
% 15.37/11.10 (until5(s99)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7211, 48163])).
% 15.37/11.10 tff(48165,plain,
% 15.37/11.10 (~node4(s99)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7195, 36, 47671])).
% 15.37/11.10 tff(48166,plain,
% 15.37/11.10 (xuntil6(s99) | (~until5(s99))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7202, 294, 48165])).
% 15.37/11.10 tff(48167,plain,
% 15.37/11.10 (xuntil6(s99)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48166, 48164])).
% 15.37/11.10 tff(48168,plain,
% 15.37/11.10 (until5(s100)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7182, 48167])).
% 15.37/11.10 tff(48169,plain,
% 15.37/11.10 (~node4(s100)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7166, 36, 47670])).
% 15.37/11.10 tff(48170,plain,
% 15.37/11.10 (xuntil6(s100) | (~until5(s100))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7173, 294, 48169])).
% 15.37/11.10 tff(48171,plain,
% 15.37/11.10 (xuntil6(s100)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48170, 48168])).
% 15.37/11.10 tff(48172,plain,
% 15.37/11.10 (until5(s101)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7153, 48171])).
% 15.37/11.10 tff(48173,plain,
% 15.37/11.10 (~node4(s101)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7137, 36, 47669])).
% 15.37/11.10 tff(48174,plain,
% 15.37/11.10 (xuntil6(s101) | (~until5(s101))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7144, 294, 48173])).
% 15.37/11.10 tff(48175,plain,
% 15.37/11.10 (xuntil6(s101)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48174, 48172])).
% 15.37/11.10 tff(48176,plain,
% 15.37/11.10 (until5(s102)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7124, 48175])).
% 15.37/11.10 tff(48177,plain,
% 15.37/11.10 (~node4(s102)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7092, 36, 47668])).
% 15.37/11.10 tff(48178,plain,
% 15.37/11.10 (xuntil6(s102) | (~until5(s102))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7116, 294, 48177])).
% 15.37/11.10 tff(48179,plain,
% 15.37/11.10 (xuntil6(s102)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48178, 48176])).
% 15.37/11.10 tff(48180,plain,
% 15.37/11.10 (until5(s103)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7109, 48179])).
% 15.37/11.10 tff(48181,plain,
% 15.37/11.10 (~node4(s103)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7096, 36, 47667])).
% 15.37/11.10 tff(48182,plain,
% 15.37/11.10 (xuntil6(s103) | (~until5(s103))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7103, 294, 48181])).
% 15.37/11.10 tff(48183,plain,
% 15.37/11.10 (xuntil6(s103)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48182, 48180])).
% 15.37/11.10 tff(48184,plain,
% 15.37/11.10 (until5(s104)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7740, 48183])).
% 15.37/11.10 tff(48185,plain,
% 15.37/11.10 (~node4(s104)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7787, 36, 47666])).
% 15.37/11.10 tff(48186,plain,
% 15.37/11.10 (xuntil6(s104) | (~until5(s104))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[7794, 294, 48185])).
% 15.37/11.10 tff(48187,plain,
% 15.37/11.10 (xuntil6(s104)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48186, 48184])).
% 15.37/11.10 tff(48188,plain,
% 15.37/11.10 (until5(s105)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8004, 48187])).
% 15.37/11.10 tff(48189,plain,
% 15.37/11.10 (~node4(s105)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8096, 36, 47665])).
% 15.37/11.10 tff(48190,plain,
% 15.37/11.10 (xuntil6(s105) | (~until5(s105))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8103, 294, 48189])).
% 15.37/11.10 tff(48191,plain,
% 15.37/11.10 (xuntil6(s105)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48190, 48188])).
% 15.37/11.10 tff(48192,plain,
% 15.37/11.10 (until5(s106)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8109, 48191])).
% 15.37/11.10 tff(48193,plain,
% 15.37/11.10 (~node4(s106)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8080, 36, 47664])).
% 15.37/11.10 tff(48194,plain,
% 15.37/11.10 (xuntil6(s106) | (~until5(s106))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8116, 294, 48193])).
% 15.37/11.10 tff(48195,plain,
% 15.37/11.10 (xuntil6(s106)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48194, 48192])).
% 15.37/11.10 tff(48196,plain,
% 15.37/11.10 (until5(s107)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8121, 48195])).
% 15.37/11.10 tff(48197,plain,
% 15.37/11.10 (~node4(s107)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8125, 36, 47663])).
% 15.37/11.10 tff(48198,plain,
% 15.37/11.10 (xuntil6(s107) | (~until5(s107))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8132, 294, 48197])).
% 15.37/11.10 tff(48199,plain,
% 15.37/11.10 (xuntil6(s107)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48198, 48196])).
% 15.37/11.10 tff(48200,plain,
% 15.37/11.10 (until5(s108)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8055, 48199])).
% 15.37/11.10 tff(48201,plain,
% 15.37/11.10 (~node4(s108)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8023, 36, 47662])).
% 15.37/11.10 tff(48202,plain,
% 15.37/11.10 (xuntil6(s108) | (~until5(s108))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8047, 294, 48201])).
% 15.37/11.10 tff(48203,plain,
% 15.37/11.10 (xuntil6(s108)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48202, 48200])).
% 15.37/11.10 tff(48204,plain,
% 15.37/11.10 (until5(s109)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8040, 48203])).
% 15.37/11.10 tff(48205,plain,
% 15.37/11.10 (~node4(s109)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8027, 36, 47661])).
% 15.37/11.10 tff(48206,plain,
% 15.37/11.10 (xuntil6(s109) | (~until5(s109))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8034, 294, 48205])).
% 15.37/11.10 tff(48207,plain,
% 15.37/11.10 (xuntil6(s109)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48206, 48204])).
% 15.37/11.10 tff(48208,plain,
% 15.37/11.10 (until5(s110)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8321, 48207])).
% 15.37/11.10 tff(48209,plain,
% 15.37/11.10 (~node4(s110)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8330, 36, 47660])).
% 15.37/11.10 tff(48210,plain,
% 15.37/11.10 (xuntil6(s110) | (~until5(s110))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8371, 294, 48209])).
% 15.37/11.10 tff(48211,plain,
% 15.37/11.10 (xuntil6(s110)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48210, 48208])).
% 15.37/11.10 tff(48212,plain,
% 15.37/11.10 (until5(s111)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8377, 48211])).
% 15.37/11.10 tff(48213,plain,
% 15.37/11.10 (~node4(s111)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8392, 36, 47659])).
% 15.37/11.10 tff(48214,plain,
% 15.37/11.10 (xuntil6(s111) | (~until5(s111))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8399, 294, 48213])).
% 15.37/11.10 tff(48215,plain,
% 15.37/11.10 (xuntil6(s111)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48214, 48212])).
% 15.37/11.10 tff(48216,plain,
% 15.37/11.10 (until5(s112)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8674, 48215])).
% 15.37/11.10 tff(48217,plain,
% 15.37/11.10 (~node4(s112)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8705, 36, 47658])).
% 15.37/11.10 tff(48218,plain,
% 15.37/11.10 (xuntil6(s112) | (~until5(s112))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8712, 294, 48217])).
% 15.37/11.10 tff(48219,plain,
% 15.37/11.10 (xuntil6(s112)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48218, 48216])).
% 15.37/11.10 tff(48220,plain,
% 15.37/11.10 (until5(s113)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8718, 48219])).
% 15.37/11.10 tff(48221,plain,
% 15.37/11.10 (~node4(s113)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8681, 36, 47657])).
% 15.37/11.10 tff(48222,plain,
% 15.37/11.10 (xuntil6(s113) | (~until5(s113))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8688, 294, 48221])).
% 15.37/11.10 tff(48223,plain,
% 15.37/11.10 (xuntil6(s113)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48222, 48220])).
% 15.37/11.10 tff(48224,plain,
% 15.37/11.10 (until5(s114)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8792, 48223])).
% 15.37/11.10 tff(48225,plain,
% 15.37/11.10 (~node4(s114)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8810, 36, 47656])).
% 15.37/11.10 tff(48226,plain,
% 15.37/11.10 (xuntil6(s114) | (~until5(s114))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8834, 294, 48225])).
% 15.37/11.10 tff(48227,plain,
% 15.37/11.10 (xuntil6(s114)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48226, 48224])).
% 15.37/11.10 tff(48228,plain,
% 15.37/11.10 (until5(s115)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8827, 48227])).
% 15.37/11.10 tff(48229,plain,
% 15.37/11.10 (~node4(s115)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8814, 36, 47655])).
% 15.37/11.10 tff(48230,plain,
% 15.37/11.10 (xuntil6(s115) | (~until5(s115))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[8821, 294, 48229])).
% 15.37/11.10 tff(48231,plain,
% 15.37/11.10 (xuntil6(s115)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48230, 48228])).
% 15.37/11.10 tff(48232,plain,
% 15.37/11.10 (until5(s116)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9170, 48231])).
% 15.37/11.10 tff(48233,plain,
% 15.37/11.10 (~node4(s116)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9972, 36, 47654])).
% 15.37/11.10 tff(48234,plain,
% 15.37/11.10 (xuntil6(s116) | (~until5(s116))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9979, 294, 48233])).
% 15.37/11.10 tff(48235,plain,
% 15.37/11.10 (xuntil6(s116)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48234, 48232])).
% 15.37/11.10 tff(48236,plain,
% 15.37/11.10 (until5(s117)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9985, 48235])).
% 15.37/11.10 tff(48237,plain,
% 15.37/11.10 (~node4(s117)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9956, 36, 47653])).
% 15.37/11.10 tff(48238,plain,
% 15.37/11.10 (xuntil6(s117) | (~until5(s117))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9992, 294, 48237])).
% 15.37/11.10 tff(48239,plain,
% 15.37/11.10 (xuntil6(s117)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48238, 48236])).
% 15.37/11.10 tff(48240,plain,
% 15.37/11.10 (until5(s118)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[9997, 48239])).
% 15.37/11.10 tff(48241,plain,
% 15.37/11.10 (~node4(s118)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10001, 36, 47652])).
% 15.37/11.10 tff(48242,plain,
% 15.37/11.10 (xuntil6(s118) | (~until5(s118))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10008, 294, 48241])).
% 15.37/11.10 tff(48243,plain,
% 15.37/11.10 (xuntil6(s118)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48242, 48240])).
% 15.37/11.10 tff(48244,plain,
% 15.37/11.10 (until5(s119)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10014, 48243])).
% 15.37/11.10 tff(48245,plain,
% 15.37/11.10 (~node4(s119)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10018, 36, 47651])).
% 15.37/11.10 tff(48246,plain,
% 15.37/11.10 (xuntil6(s119) | (~until5(s119))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10025, 294, 48245])).
% 15.37/11.10 tff(48247,plain,
% 15.37/11.10 (xuntil6(s119)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48246, 48244])).
% 15.37/11.10 tff(48248,plain,
% 15.37/11.10 (until5(s120)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10031, 48247])).
% 15.37/11.10 tff(48249,plain,
% 15.37/11.10 (~node4(s120)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10035, 36, 47650])).
% 15.37/11.10 tff(48250,plain,
% 15.37/11.10 (xuntil6(s120) | (~until5(s120))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10042, 294, 48249])).
% 15.37/11.10 tff(48251,plain,
% 15.37/11.10 (xuntil6(s120)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48250, 48248])).
% 15.37/11.10 tff(48252,plain,
% 15.37/11.10 (until5(s121)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10048, 48251])).
% 15.37/11.10 tff(48253,plain,
% 15.37/11.10 (~node4(s121)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10052, 36, 47649])).
% 15.37/11.10 tff(48254,plain,
% 15.37/11.10 (xuntil6(s121) | (~until5(s121))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10059, 294, 48253])).
% 15.37/11.10 tff(48255,plain,
% 15.37/11.10 (xuntil6(s121)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48254, 48252])).
% 15.37/11.10 tff(48256,plain,
% 15.37/11.10 (until5(s122)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10065, 48255])).
% 15.37/11.10 tff(48257,plain,
% 15.37/11.10 (~node4(s122)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10069, 36, 47648])).
% 15.37/11.10 tff(48258,plain,
% 15.37/11.10 (xuntil6(s122) | (~until5(s122))),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10076, 294, 48257])).
% 15.37/11.10 tff(48259,plain,
% 15.37/11.10 (xuntil6(s122)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[48258, 48256])).
% 15.37/11.10 tff(48260,plain,
% 15.37/11.10 (until5(s123)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10082, 48259])).
% 15.37/11.10 tff(48261,plain,
% 15.37/11.10 (~node4(s123)),
% 15.37/11.10 inference(unit_resolution,[status(thm)],[10086, 36, 47647])).
% 15.37/11.11 tff(48262,plain,
% 15.37/11.11 (xuntil6(s123) | (~until5(s123))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10093, 294, 48261])).
% 15.37/11.11 tff(48263,plain,
% 15.37/11.11 (xuntil6(s123)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48262, 48260])).
% 15.37/11.11 tff(48264,plain,
% 15.37/11.11 (until5(s124)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10099, 48263])).
% 15.37/11.11 tff(48265,plain,
% 15.37/11.11 (~node4(s124)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10103, 36, 47646])).
% 15.37/11.11 tff(48266,plain,
% 15.37/11.11 (xuntil6(s124) | (~until5(s124))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10110, 294, 48265])).
% 15.37/11.11 tff(48267,plain,
% 15.37/11.11 (xuntil6(s124)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48266, 48264])).
% 15.37/11.11 tff(48268,plain,
% 15.37/11.11 (until5(s125)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10116, 48267])).
% 15.37/11.11 tff(48269,plain,
% 15.37/11.11 (~node4(s125)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10120, 36, 47645])).
% 15.37/11.11 tff(48270,plain,
% 15.37/11.11 (xuntil6(s125) | (~until5(s125))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10127, 294, 48269])).
% 15.37/11.11 tff(48271,plain,
% 15.37/11.11 (xuntil6(s125)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48270, 48268])).
% 15.37/11.11 tff(48272,plain,
% 15.37/11.11 (until5(s126)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10133, 48271])).
% 15.37/11.11 tff(48273,plain,
% 15.37/11.11 (~node4(s126)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10137, 36, 47644])).
% 15.37/11.11 tff(48274,plain,
% 15.37/11.11 (xuntil6(s126) | (~until5(s126))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10144, 294, 48273])).
% 15.37/11.11 tff(48275,plain,
% 15.37/11.11 (xuntil6(s126)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48274, 48272])).
% 15.37/11.11 tff(48276,plain,
% 15.37/11.11 (until5(s127)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10150, 48275])).
% 15.37/11.11 tff(48277,plain,
% 15.37/11.11 (~node4(s127)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10154, 36, 47643])).
% 15.37/11.11 tff(48278,plain,
% 15.37/11.11 (xuntil6(s127) | (~until5(s127))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10161, 294, 48277])).
% 15.37/11.11 tff(48279,plain,
% 15.37/11.11 (xuntil6(s127)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48278, 48276])).
% 15.37/11.11 tff(48280,plain,
% 15.37/11.11 (until5(s128)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10167, 48279])).
% 15.37/11.11 tff(48281,plain,
% 15.37/11.11 (~node4(s128)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10171, 36, 47642])).
% 15.37/11.11 tff(48282,plain,
% 15.37/11.11 (xuntil6(s128) | (~until5(s128))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10178, 294, 48281])).
% 15.37/11.11 tff(48283,plain,
% 15.37/11.11 (xuntil6(s128)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48282, 48280])).
% 15.37/11.11 tff(48284,plain,
% 15.37/11.11 (until5(s129)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10184, 48283])).
% 15.37/11.11 tff(48285,plain,
% 15.37/11.11 (~node4(s129)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10188, 36, 47641])).
% 15.37/11.11 tff(48286,plain,
% 15.37/11.11 (xuntil6(s129) | (~until5(s129))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10195, 294, 48285])).
% 15.37/11.11 tff(48287,plain,
% 15.37/11.11 (xuntil6(s129)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48286, 48284])).
% 15.37/11.11 tff(48288,plain,
% 15.37/11.11 (until5(s130)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10201, 48287])).
% 15.37/11.11 tff(48289,plain,
% 15.37/11.11 (~node4(s130)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10205, 36, 47640])).
% 15.37/11.11 tff(48290,plain,
% 15.37/11.11 (xuntil6(s130) | (~until5(s130))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10212, 294, 48289])).
% 15.37/11.11 tff(48291,plain,
% 15.37/11.11 (xuntil6(s130)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48290, 48288])).
% 15.37/11.11 tff(48292,plain,
% 15.37/11.11 (until5(s131)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10218, 48291])).
% 15.37/11.11 tff(48293,plain,
% 15.37/11.11 (~node4(s131)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10222, 36, 47639])).
% 15.37/11.11 tff(48294,plain,
% 15.37/11.11 (xuntil6(s131) | (~until5(s131))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10229, 294, 48293])).
% 15.37/11.11 tff(48295,plain,
% 15.37/11.11 (xuntil6(s131)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48294, 48292])).
% 15.37/11.11 tff(48296,plain,
% 15.37/11.11 (until5(s132)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10235, 48295])).
% 15.37/11.11 tff(48297,plain,
% 15.37/11.11 (~node4(s132)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10239, 36, 47638])).
% 15.37/11.11 tff(48298,plain,
% 15.37/11.11 (xuntil6(s132) | (~until5(s132))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10246, 294, 48297])).
% 15.37/11.11 tff(48299,plain,
% 15.37/11.11 (xuntil6(s132)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48298, 48296])).
% 15.37/11.11 tff(48300,plain,
% 15.37/11.11 (until5(s133)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10252, 48299])).
% 15.37/11.11 tff(48301,plain,
% 15.37/11.11 (~node4(s133)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10256, 36, 47637])).
% 15.37/11.11 tff(48302,plain,
% 15.37/11.11 (xuntil6(s133) | (~until5(s133))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[10263, 294, 48301])).
% 15.37/11.11 tff(48303,plain,
% 15.37/11.11 (xuntil6(s133)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48302, 48300])).
% 15.37/11.11 tff(48304,plain,
% 15.37/11.11 (until5(s134)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9751, 48303])).
% 15.37/11.11 tff(48305,plain,
% 15.37/11.11 (~node4(s134)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9735, 36, 47636])).
% 15.37/11.11 tff(48306,plain,
% 15.37/11.11 (xuntil6(s134) | (~until5(s134))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9742, 294, 48305])).
% 15.37/11.11 tff(48307,plain,
% 15.37/11.11 (xuntil6(s134)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48306, 48304])).
% 15.37/11.11 tff(48308,plain,
% 15.37/11.11 (until5(s135)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9722, 48307])).
% 15.37/11.11 tff(48309,plain,
% 15.37/11.11 (~node4(s135)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9706, 36, 47635])).
% 15.37/11.11 tff(48310,plain,
% 15.37/11.11 (xuntil6(s135) | (~until5(s135))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9713, 294, 48309])).
% 15.37/11.11 tff(48311,plain,
% 15.37/11.11 (xuntil6(s135)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48310, 48308])).
% 15.37/11.11 tff(48312,plain,
% 15.37/11.11 (until5(s136)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9693, 48311])).
% 15.37/11.11 tff(48313,plain,
% 15.37/11.11 (~node4(s136)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9677, 36, 47634])).
% 15.37/11.11 tff(48314,plain,
% 15.37/11.11 (xuntil6(s136) | (~until5(s136))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9684, 294, 48313])).
% 15.37/11.11 tff(48315,plain,
% 15.37/11.11 (xuntil6(s136)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48314, 48312])).
% 15.37/11.11 tff(48316,plain,
% 15.37/11.11 (until5(s137)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9664, 48315])).
% 15.37/11.11 tff(48317,plain,
% 15.37/11.11 (~node4(s137)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9648, 36, 47633])).
% 15.37/11.11 tff(48318,plain,
% 15.37/11.11 (xuntil6(s137) | (~until5(s137))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9655, 294, 48317])).
% 15.37/11.11 tff(48319,plain,
% 15.37/11.11 (xuntil6(s137)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48318, 48316])).
% 15.37/11.11 tff(48320,plain,
% 15.37/11.11 (until5(s138)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9635, 48319])).
% 15.37/11.11 tff(48321,plain,
% 15.37/11.11 (~node4(s138)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9619, 36, 47632])).
% 15.37/11.11 tff(48322,plain,
% 15.37/11.11 (xuntil6(s138) | (~until5(s138))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9626, 294, 48321])).
% 15.37/11.11 tff(48323,plain,
% 15.37/11.11 (xuntil6(s138)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48322, 48320])).
% 15.37/11.11 tff(48324,plain,
% 15.37/11.11 (until5(s139)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9606, 48323])).
% 15.37/11.11 tff(48325,plain,
% 15.37/11.11 (~node4(s139)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9590, 36, 47631])).
% 15.37/11.11 tff(48326,plain,
% 15.37/11.11 (xuntil6(s139) | (~until5(s139))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9597, 294, 48325])).
% 15.37/11.11 tff(48327,plain,
% 15.37/11.11 (xuntil6(s139)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48326, 48324])).
% 15.37/11.11 tff(48328,plain,
% 15.37/11.11 (until5(s140)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9577, 48327])).
% 15.37/11.11 tff(48329,plain,
% 15.37/11.11 (~node4(s140)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9561, 36, 47630])).
% 15.37/11.11 tff(48330,plain,
% 15.37/11.11 (xuntil6(s140) | (~until5(s140))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9568, 294, 48329])).
% 15.37/11.11 tff(48331,plain,
% 15.37/11.11 (xuntil6(s140)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48330, 48328])).
% 15.37/11.11 tff(48332,plain,
% 15.37/11.11 (until5(s141)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9548, 48331])).
% 15.37/11.11 tff(48333,plain,
% 15.37/11.11 (~node4(s141)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9260, 36, 47629])).
% 15.37/11.11 tff(48334,plain,
% 15.37/11.11 (xuntil6(s141) | (~until5(s141))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9539, 294, 48333])).
% 15.37/11.11 tff(48335,plain,
% 15.37/11.11 (xuntil6(s141)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48334, 48332])).
% 15.37/11.11 tff(48336,plain,
% 15.37/11.11 (until5(s142)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9530, 48335])).
% 15.37/11.11 tff(48337,plain,
% 15.37/11.11 (~node4(s142)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9517, 36, 47628])).
% 15.37/11.11 tff(48338,plain,
% 15.37/11.11 (xuntil6(s142) | (~until5(s142))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9524, 294, 48337])).
% 15.37/11.11 tff(48339,plain,
% 15.37/11.11 (xuntil6(s142)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48338, 48336])).
% 15.37/11.11 tff(48340,plain,
% 15.37/11.11 (until5(s143)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9508, 48339])).
% 15.37/11.11 tff(48341,plain,
% 15.37/11.11 (~node4(s143)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9179, 36, 47627])).
% 15.37/11.11 tff(48342,plain,
% 15.37/11.11 (xuntil6(s143) | (~until5(s143))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9502, 294, 48341])).
% 15.37/11.11 tff(48343,plain,
% 15.37/11.11 (xuntil6(s143)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48342, 48340])).
% 15.37/11.11 tff(48344,plain,
% 15.37/11.11 (until5(s144)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9493, 48343])).
% 15.37/11.11 tff(48345,plain,
% 15.37/11.11 (~node4(s144)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9480, 36, 47626])).
% 15.37/11.11 tff(48346,plain,
% 15.37/11.11 (xuntil6(s144) | (~until5(s144))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9487, 294, 48345])).
% 15.37/11.11 tff(48347,plain,
% 15.37/11.11 (xuntil6(s144)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48346, 48344])).
% 15.37/11.11 tff(48348,plain,
% 15.37/11.11 (until5(s145)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9467, 48347])).
% 15.37/11.11 tff(48349,plain,
% 15.37/11.11 (~node4(s145)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9451, 36, 47625])).
% 15.37/11.11 tff(48350,plain,
% 15.37/11.11 (xuntil6(s145) | (~until5(s145))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9458, 294, 48349])).
% 15.37/11.11 tff(48351,plain,
% 15.37/11.11 (xuntil6(s145)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48350, 48348])).
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[9438, 48351])).
% 15.37/11.11 tff(48353,plain,
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[9422, 36, 47624])).
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% 15.37/11.11 (xuntil6(s146) | (~until5(s146))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9429, 294, 48353])).
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[48354, 48352])).
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[9409, 48355])).
% 15.37/11.11 tff(48357,plain,
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[9393, 36, 47623])).
% 15.37/11.11 tff(48358,plain,
% 15.37/11.11 (xuntil6(s147) | (~until5(s147))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9400, 294, 48357])).
% 15.37/11.11 tff(48359,plain,
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[48358, 48356])).
% 15.37/11.11 tff(48360,plain,
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[9380, 48359])).
% 15.37/11.11 tff(48361,plain,
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[9364, 36, 47622])).
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% 15.37/11.11 (xuntil6(s148) | (~until5(s148))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9371, 294, 48361])).
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% 15.37/11.11 (xuntil6(s148)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48362, 48360])).
% 15.37/11.11 tff(48364,plain,
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[9351, 48363])).
% 15.37/11.11 tff(48365,plain,
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% 15.37/11.11 inference(unit_resolution,[status(thm)],[9319, 36, 47621])).
% 15.37/11.11 tff(48366,plain,
% 15.37/11.11 (xuntil6(s149) | (~until5(s149))),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[9343, 294, 48365])).
% 15.37/11.11 tff(48367,plain,
% 15.37/11.11 (xuntil6(s149)),
% 15.37/11.11 inference(unit_resolution,[status(thm)],[48366, 48364])).
% 15.37/11.11 tff(48368,plain,
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% 15.40/11.11 inference(unit_resolution,[status(thm)],[9336, 48367])).
% 15.40/11.11 tff(48369,plain,
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% 15.40/11.11 inference(unit_resolution,[status(thm)],[9323, 36, 47620])).
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% 15.40/11.11 (xuntil6(s150) | (~until5(s150))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[9330, 294, 48369])).
% 15.40/11.11 tff(48371,plain,
% 15.40/11.11 (xuntil6(s150)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48370, 48368])).
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% 15.40/11.11 inference(unit_resolution,[status(thm)],[12081, 48371])).
% 15.40/11.11 tff(48373,plain,
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% 15.40/11.11 inference(unit_resolution,[status(thm)],[12135, 36, 47619])).
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% 15.40/11.11 (xuntil6(s151) | (~until5(s151))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12130, 294, 48373])).
% 15.40/11.11 tff(48375,plain,
% 15.40/11.11 (xuntil6(s151)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48374, 48372])).
% 15.40/11.11 tff(48376,plain,
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% 15.40/11.11 inference(unit_resolution,[status(thm)],[12184, 48375])).
% 15.40/11.11 tff(48377,plain,
% 15.40/11.11 (~node4(s152)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12194, 36, 47618])).
% 15.40/11.11 tff(48378,plain,
% 15.40/11.11 (xuntil6(s152) | (~until5(s152))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12235, 294, 48377])).
% 15.40/11.11 tff(48379,plain,
% 15.40/11.11 (xuntil6(s152)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48378, 48376])).
% 15.40/11.11 tff(48380,plain,
% 15.40/11.11 (until5(s153)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12241, 48379])).
% 15.40/11.11 tff(48381,plain,
% 15.40/11.11 (~node4(s153)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12250, 36, 47617])).
% 15.40/11.11 tff(48382,plain,
% 15.40/11.11 (xuntil6(s153) | (~until5(s153))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12291, 294, 48381])).
% 15.40/11.11 tff(48383,plain,
% 15.40/11.11 (xuntil6(s153)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48382, 48380])).
% 15.40/11.11 tff(48384,plain,
% 15.40/11.11 (until5(s154)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12297, 48383])).
% 15.40/11.11 tff(48385,plain,
% 15.40/11.11 (~node4(s154)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12475, 36, 47616])).
% 15.40/11.11 tff(48386,plain,
% 15.40/11.11 (xuntil6(s154) | (~until5(s154))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12482, 294, 48385])).
% 15.40/11.11 tff(48387,plain,
% 15.40/11.11 (xuntil6(s154)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48386, 48384])).
% 15.40/11.11 tff(48388,plain,
% 15.40/11.11 (until5(s155)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12488, 48387])).
% 15.40/11.11 tff(48389,plain,
% 15.40/11.11 (~node4(s155)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12492, 36, 47615])).
% 15.40/11.11 tff(48390,plain,
% 15.40/11.11 (xuntil6(s155) | (~until5(s155))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12499, 294, 48389])).
% 15.40/11.11 tff(48391,plain,
% 15.40/11.11 (xuntil6(s155)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48390, 48388])).
% 15.40/11.11 tff(48392,plain,
% 15.40/11.11 (until5(s156)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12505, 48391])).
% 15.40/11.11 tff(48393,plain,
% 15.40/11.11 (~node4(s156)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12509, 36, 47614])).
% 15.40/11.11 tff(48394,plain,
% 15.40/11.11 (xuntil6(s156) | (~until5(s156))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12516, 294, 48393])).
% 15.40/11.11 tff(48395,plain,
% 15.40/11.11 (xuntil6(s156)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48394, 48392])).
% 15.40/11.11 tff(48396,plain,
% 15.40/11.11 (until5(s157)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12522, 48395])).
% 15.40/11.11 tff(48397,plain,
% 15.40/11.11 (~node4(s157)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12418, 36, 47613])).
% 15.40/11.11 tff(48398,plain,
% 15.40/11.11 (xuntil6(s157) | (~until5(s157))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12425, 294, 48397])).
% 15.40/11.11 tff(48399,plain,
% 15.40/11.11 (xuntil6(s157)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48398, 48396])).
% 15.40/11.11 tff(48400,plain,
% 15.40/11.11 (until5(s158)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12405, 48399])).
% 15.40/11.11 tff(48401,plain,
% 15.40/11.11 (~node4(s158)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12389, 36, 47612])).
% 15.40/11.11 tff(48402,plain,
% 15.40/11.11 (xuntil6(s158) | (~until5(s158))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12396, 294, 48401])).
% 15.40/11.11 tff(48403,plain,
% 15.40/11.11 (xuntil6(s158)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48402, 48400])).
% 15.40/11.11 tff(48404,plain,
% 15.40/11.11 (until5(s159)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12376, 48403])).
% 15.40/11.11 tff(48405,plain,
% 15.40/11.11 (~node4(s159)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12360, 36, 47611])).
% 15.40/11.11 tff(48406,plain,
% 15.40/11.11 (xuntil6(s159) | (~until5(s159))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12367, 294, 48405])).
% 15.40/11.11 tff(48407,plain,
% 15.40/11.11 (xuntil6(s159)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48406, 48404])).
% 15.40/11.11 tff(48408,plain,
% 15.40/11.11 (until5(s160)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12347, 48407])).
% 15.40/11.11 tff(48409,plain,
% 15.40/11.11 (~node4(s160)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12315, 36, 47610])).
% 15.40/11.11 tff(48410,plain,
% 15.40/11.11 (xuntil6(s160) | (~until5(s160))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12339, 294, 48409])).
% 15.40/11.11 tff(48411,plain,
% 15.40/11.11 (xuntil6(s160)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48410, 48408])).
% 15.40/11.11 tff(48412,plain,
% 15.40/11.11 (until5(s161)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12332, 48411])).
% 15.40/11.11 tff(48413,plain,
% 15.40/11.11 (~node4(s161)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12319, 36, 47609])).
% 15.40/11.11 tff(48414,plain,
% 15.40/11.11 (xuntil6(s161) | (~until5(s161))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12326, 294, 48413])).
% 15.40/11.11 tff(48415,plain,
% 15.40/11.11 (xuntil6(s161)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48414, 48412])).
% 15.40/11.11 tff(48416,plain,
% 15.40/11.11 (until5(s162)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12883, 48415])).
% 15.40/11.11 tff(48417,plain,
% 15.40/11.11 (~node4(s162)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12892, 36, 47608])).
% 15.40/11.11 tff(48418,plain,
% 15.40/11.11 (xuntil6(s162) | (~until5(s162))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12933, 294, 48417])).
% 15.40/11.11 tff(48419,plain,
% 15.40/11.11 (xuntil6(s162)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48418, 48416])).
% 15.40/11.11 tff(48420,plain,
% 15.40/11.11 (until5(s163)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12939, 48419])).
% 15.40/11.11 tff(48421,plain,
% 15.40/11.11 (~node4(s163)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12945, 36, 47607])).
% 15.40/11.11 tff(48422,plain,
% 15.40/11.11 (xuntil6(s163) | (~until5(s163))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[12952, 294, 48421])).
% 15.40/11.11 tff(48423,plain,
% 15.40/11.11 (xuntil6(s163)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48422, 48420])).
% 15.40/11.11 tff(48424,plain,
% 15.40/11.11 (until5(s164)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13062, 48423])).
% 15.40/11.11 tff(48425,plain,
% 15.40/11.11 (~node4(s164)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13114, 36, 47606])).
% 15.40/11.11 tff(48426,plain,
% 15.40/11.11 (xuntil6(s164) | (~until5(s164))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13121, 294, 48425])).
% 15.40/11.11 tff(48427,plain,
% 15.40/11.11 (xuntil6(s164)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48426, 48424])).
% 15.40/11.11 tff(48428,plain,
% 15.40/11.11 (until5(s165)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13127, 48427])).
% 15.40/11.11 tff(48429,plain,
% 15.40/11.11 (~node4(s165)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13081, 36, 47605])).
% 15.40/11.11 tff(48430,plain,
% 15.40/11.11 (xuntil6(s165) | (~until5(s165))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13134, 294, 48429])).
% 15.40/11.11 tff(48431,plain,
% 15.40/11.11 (xuntil6(s165)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48430, 48428])).
% 15.40/11.11 tff(48432,plain,
% 15.40/11.11 (until5(s166)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13098, 48431])).
% 15.40/11.11 tff(48433,plain,
% 15.40/11.11 (~node4(s166)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13085, 36, 47604])).
% 15.40/11.11 tff(48434,plain,
% 15.40/11.11 (xuntil6(s166) | (~until5(s166))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13092, 294, 48433])).
% 15.40/11.11 tff(48435,plain,
% 15.40/11.11 (xuntil6(s166)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48434, 48432])).
% 15.40/11.11 tff(48436,plain,
% 15.40/11.11 (until5(s167)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13245, 48435])).
% 15.40/11.11 tff(48437,plain,
% 15.40/11.11 (~node4(s167)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13309, 36, 47603])).
% 15.40/11.11 tff(48438,plain,
% 15.40/11.11 (xuntil6(s167) | (~until5(s167))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13316, 294, 48437])).
% 15.40/11.11 tff(48439,plain,
% 15.40/11.11 (xuntil6(s167)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48438, 48436])).
% 15.40/11.11 tff(48440,plain,
% 15.40/11.11 (until5(s168)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13322, 48439])).
% 15.40/11.11 tff(48441,plain,
% 15.40/11.11 (~node4(s168)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13331, 36, 47602])).
% 15.40/11.11 tff(48442,plain,
% 15.40/11.11 (xuntil6(s168) | (~until5(s168))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13367, 294, 48441])).
% 15.40/11.11 tff(48443,plain,
% 15.40/11.11 (xuntil6(s168)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48442, 48440])).
% 15.40/11.11 tff(48444,plain,
% 15.40/11.11 (until5(s169)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13373, 48443])).
% 15.40/11.11 tff(48445,plain,
% 15.40/11.11 (~node4(s169)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13264, 36, 47601])).
% 15.40/11.11 tff(48446,plain,
% 15.40/11.11 (xuntil6(s169) | (~until5(s169))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13380, 294, 48445])).
% 15.40/11.11 tff(48447,plain,
% 15.40/11.11 (xuntil6(s169)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48446, 48444])).
% 15.40/11.11 tff(48448,plain,
% 15.40/11.11 (until5(s170)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13281, 48447])).
% 15.40/11.11 tff(48449,plain,
% 15.40/11.11 (~node4(s170)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13268, 36, 47600])).
% 15.40/11.11 tff(48450,plain,
% 15.40/11.11 (xuntil6(s170) | (~until5(s170))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13275, 294, 48449])).
% 15.40/11.11 tff(48451,plain,
% 15.40/11.11 (xuntil6(s170)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48450, 48448])).
% 15.40/11.11 tff(48452,plain,
% 15.40/11.11 (until5(s171)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13487, 48451])).
% 15.40/11.11 tff(48453,plain,
% 15.40/11.11 (~node4(s171)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13496, 36, 47599])).
% 15.40/11.11 tff(48454,plain,
% 15.40/11.11 (xuntil6(s171) | (~until5(s171))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13537, 294, 48453])).
% 15.40/11.11 tff(48455,plain,
% 15.40/11.11 (xuntil6(s171)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48454, 48452])).
% 15.40/11.11 tff(48456,plain,
% 15.40/11.11 (until5(s172)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13543, 48455])).
% 15.40/11.11 tff(48457,plain,
% 15.40/11.11 (~node4(s172)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13562, 36, 47598])).
% 15.40/11.11 tff(48458,plain,
% 15.40/11.11 (xuntil6(s172) | (~until5(s172))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13586, 294, 48457])).
% 15.40/11.11 tff(48459,plain,
% 15.40/11.11 (xuntil6(s172)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48458, 48456])).
% 15.40/11.11 tff(48460,plain,
% 15.40/11.11 (until5(s173)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13579, 48459])).
% 15.40/11.11 tff(48461,plain,
% 15.40/11.11 (~node4(s173)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13566, 36, 47597])).
% 15.40/11.11 tff(48462,plain,
% 15.40/11.11 (xuntil6(s173) | (~until5(s173))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13573, 294, 48461])).
% 15.40/11.11 tff(48463,plain,
% 15.40/11.11 (xuntil6(s173)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48462, 48460])).
% 15.40/11.11 tff(48464,plain,
% 15.40/11.11 (until5(s174)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13740, 48463])).
% 15.40/11.11 tff(48465,plain,
% 15.40/11.11 (~node4(s174)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13747, 36, 47596])).
% 15.40/11.11 tff(48466,plain,
% 15.40/11.11 (xuntil6(s174) | (~until5(s174))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13754, 294, 48465])).
% 15.40/11.11 tff(48467,plain,
% 15.40/11.11 (xuntil6(s174)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48466, 48464])).
% 15.40/11.11 tff(48468,plain,
% 15.40/11.11 (until5(s175)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13874, 48467])).
% 15.40/11.11 tff(48469,plain,
% 15.40/11.11 (~node4(s175)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14012, 36, 47595])).
% 15.40/11.11 tff(48470,plain,
% 15.40/11.11 (xuntil6(s175) | (~until5(s175))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14019, 294, 48469])).
% 15.40/11.11 tff(48471,plain,
% 15.40/11.11 (xuntil6(s175)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48470, 48468])).
% 15.40/11.11 tff(48472,plain,
% 15.40/11.11 (until5(s176)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13924, 48471])).
% 15.40/11.11 tff(48473,plain,
% 15.40/11.11 (~node4(s176)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13892, 36, 47594])).
% 15.40/11.11 tff(48474,plain,
% 15.40/11.11 (xuntil6(s176) | (~until5(s176))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13916, 294, 48473])).
% 15.40/11.11 tff(48475,plain,
% 15.40/11.11 (xuntil6(s176)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48474, 48472])).
% 15.40/11.11 tff(48476,plain,
% 15.40/11.11 (until5(s177)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13909, 48475])).
% 15.40/11.11 tff(48477,plain,
% 15.40/11.11 (~node4(s177)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13896, 36, 47593])).
% 15.40/11.11 tff(48478,plain,
% 15.40/11.11 (xuntil6(s177) | (~until5(s177))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[13903, 294, 48477])).
% 15.40/11.11 tff(48479,plain,
% 15.40/11.11 (xuntil6(s177)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48478, 48476])).
% 15.40/11.11 tff(48480,plain,
% 15.40/11.11 (until5(s178)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14136, 48479])).
% 15.40/11.11 tff(48481,plain,
% 15.40/11.11 (~node4(s178)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14287, 36, 47592])).
% 15.40/11.11 tff(48482,plain,
% 15.40/11.11 (xuntil6(s178) | (~until5(s178))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14294, 294, 48481])).
% 15.40/11.11 tff(48483,plain,
% 15.40/11.11 (xuntil6(s178)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48482, 48480])).
% 15.40/11.11 tff(48484,plain,
% 15.40/11.11 (until5(s179)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14274, 48483])).
% 15.40/11.11 tff(48485,plain,
% 15.40/11.11 (~node4(s179)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14258, 36, 47591])).
% 15.40/11.11 tff(48486,plain,
% 15.40/11.11 (xuntil6(s179) | (~until5(s179))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14265, 294, 48485])).
% 15.40/11.11 tff(48487,plain,
% 15.40/11.11 (xuntil6(s179)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48486, 48484])).
% 15.40/11.11 tff(48488,plain,
% 15.40/11.11 (until5(s180)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14245, 48487])).
% 15.40/11.11 tff(48489,plain,
% 15.40/11.11 (~node4(s180)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14229, 36, 47590])).
% 15.40/11.11 tff(48490,plain,
% 15.40/11.11 (xuntil6(s180) | (~until5(s180))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14236, 294, 48489])).
% 15.40/11.11 tff(48491,plain,
% 15.40/11.11 (xuntil6(s180)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48490, 48488])).
% 15.40/11.11 tff(48492,plain,
% 15.40/11.11 (until5(s181)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14216, 48491])).
% 15.40/11.11 tff(48493,plain,
% 15.40/11.11 (~node4(s181)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14200, 36, 47589])).
% 15.40/11.11 tff(48494,plain,
% 15.40/11.11 (xuntil6(s181) | (~until5(s181))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14207, 294, 48493])).
% 15.40/11.11 tff(48495,plain,
% 15.40/11.11 (xuntil6(s181)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48494, 48492])).
% 15.40/11.11 tff(48496,plain,
% 15.40/11.11 (until5(s182)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14187, 48495])).
% 15.40/11.11 tff(48497,plain,
% 15.40/11.11 (~node4(s182)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14155, 36, 47588])).
% 15.40/11.11 tff(48498,plain,
% 15.40/11.11 (xuntil6(s182) | (~until5(s182))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14179, 294, 48497])).
% 15.40/11.11 tff(48499,plain,
% 15.40/11.11 (xuntil6(s182)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48498, 48496])).
% 15.40/11.11 tff(48500,plain,
% 15.40/11.11 (until5(s183)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14172, 48499])).
% 15.40/11.11 tff(48501,plain,
% 15.40/11.11 (~node4(s183)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14159, 36, 47587])).
% 15.40/11.11 tff(48502,plain,
% 15.40/11.11 (xuntil6(s183) | (~until5(s183))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14166, 294, 48501])).
% 15.40/11.11 tff(48503,plain,
% 15.40/11.11 (xuntil6(s183)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48502, 48500])).
% 15.40/11.11 tff(48504,plain,
% 15.40/11.11 (until5(s184)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14712, 48503])).
% 15.40/11.11 tff(48505,plain,
% 15.40/11.11 (~node4(s184)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15572, 36, 47586])).
% 15.40/11.11 tff(48506,plain,
% 15.40/11.11 (xuntil6(s184) | (~until5(s184))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15579, 294, 48505])).
% 15.40/11.11 tff(48507,plain,
% 15.40/11.11 (xuntil6(s184)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48506, 48504])).
% 15.40/11.11 tff(48508,plain,
% 15.40/11.11 (until5(s185)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15585, 48507])).
% 15.40/11.11 tff(48509,plain,
% 15.40/11.11 (~node4(s185)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15556, 36, 47585])).
% 15.40/11.11 tff(48510,plain,
% 15.40/11.11 (xuntil6(s185) | (~until5(s185))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15592, 294, 48509])).
% 15.40/11.11 tff(48511,plain,
% 15.40/11.11 (xuntil6(s185)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48510, 48508])).
% 15.40/11.11 tff(48512,plain,
% 15.40/11.11 (until5(s186)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15597, 48511])).
% 15.40/11.11 tff(48513,plain,
% 15.40/11.11 (~node4(s186)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15601, 36, 47584])).
% 15.40/11.11 tff(48514,plain,
% 15.40/11.11 (xuntil6(s186) | (~until5(s186))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15608, 294, 48513])).
% 15.40/11.11 tff(48515,plain,
% 15.40/11.11 (xuntil6(s186)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48514, 48512])).
% 15.40/11.11 tff(48516,plain,
% 15.40/11.11 (until5(s187)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15614, 48515])).
% 15.40/11.11 tff(48517,plain,
% 15.40/11.11 (~node4(s187)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15618, 36, 47583])).
% 15.40/11.11 tff(48518,plain,
% 15.40/11.11 (xuntil6(s187) | (~until5(s187))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15625, 294, 48517])).
% 15.40/11.11 tff(48519,plain,
% 15.40/11.11 (xuntil6(s187)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48518, 48516])).
% 15.40/11.11 tff(48520,plain,
% 15.40/11.11 (until5(s188)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15631, 48519])).
% 15.40/11.11 tff(48521,plain,
% 15.40/11.11 (~node4(s188)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15635, 36, 47582])).
% 15.40/11.11 tff(48522,plain,
% 15.40/11.11 (xuntil6(s188) | (~until5(s188))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15642, 294, 48521])).
% 15.40/11.11 tff(48523,plain,
% 15.40/11.11 (xuntil6(s188)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48522, 48520])).
% 15.40/11.11 tff(48524,plain,
% 15.40/11.11 (until5(s189)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15648, 48523])).
% 15.40/11.11 tff(48525,plain,
% 15.40/11.11 (~node4(s189)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15652, 36, 47581])).
% 15.40/11.11 tff(48526,plain,
% 15.40/11.11 (xuntil6(s189) | (~until5(s189))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15659, 294, 48525])).
% 15.40/11.11 tff(48527,plain,
% 15.40/11.11 (xuntil6(s189)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48526, 48524])).
% 15.40/11.11 tff(48528,plain,
% 15.40/11.11 (until5(s190)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15665, 48527])).
% 15.40/11.11 tff(48529,plain,
% 15.40/11.11 (~node4(s190)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15669, 36, 47580])).
% 15.40/11.11 tff(48530,plain,
% 15.40/11.11 (xuntil6(s190) | (~until5(s190))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15676, 294, 48529])).
% 15.40/11.11 tff(48531,plain,
% 15.40/11.11 (xuntil6(s190)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48530, 48528])).
% 15.40/11.11 tff(48532,plain,
% 15.40/11.11 (until5(s191)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15682, 48531])).
% 15.40/11.11 tff(48533,plain,
% 15.40/11.11 (~node4(s191)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15686, 36, 47579])).
% 15.40/11.11 tff(48534,plain,
% 15.40/11.11 (xuntil6(s191) | (~until5(s191))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15693, 294, 48533])).
% 15.40/11.11 tff(48535,plain,
% 15.40/11.11 (xuntil6(s191)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48534, 48532])).
% 15.40/11.11 tff(48536,plain,
% 15.40/11.11 (until5(s192)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15699, 48535])).
% 15.40/11.11 tff(48537,plain,
% 15.40/11.11 (~node4(s192)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15703, 36, 47578])).
% 15.40/11.11 tff(48538,plain,
% 15.40/11.11 (xuntil6(s192) | (~until5(s192))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15710, 294, 48537])).
% 15.40/11.11 tff(48539,plain,
% 15.40/11.11 (xuntil6(s192)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48538, 48536])).
% 15.40/11.11 tff(48540,plain,
% 15.40/11.11 (until5(s193)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15716, 48539])).
% 15.40/11.11 tff(48541,plain,
% 15.40/11.11 (~node4(s193)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15720, 36, 47577])).
% 15.40/11.11 tff(48542,plain,
% 15.40/11.11 (xuntil6(s193) | (~until5(s193))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15727, 294, 48541])).
% 15.40/11.11 tff(48543,plain,
% 15.40/11.11 (xuntil6(s193)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48542, 48540])).
% 15.40/11.11 tff(48544,plain,
% 15.40/11.11 (until5(s194)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15733, 48543])).
% 15.40/11.11 tff(48545,plain,
% 15.40/11.11 (~node4(s194)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14771, 36, 47576])).
% 15.40/11.11 tff(48546,plain,
% 15.40/11.11 (xuntil6(s194) | (~until5(s194))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15741, 294, 48545])).
% 15.40/11.11 tff(48547,plain,
% 15.40/11.11 (xuntil6(s194)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48546, 48544])).
% 15.40/11.11 tff(48548,plain,
% 15.40/11.11 (until5(s195)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15747, 48547])).
% 15.40/11.11 tff(48549,plain,
% 15.40/11.11 (~node4(s195)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15751, 36, 47575])).
% 15.40/11.11 tff(48550,plain,
% 15.40/11.11 (xuntil6(s195) | (~until5(s195))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15758, 294, 48549])).
% 15.40/11.11 tff(48551,plain,
% 15.40/11.11 (xuntil6(s195)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48550, 48548])).
% 15.40/11.11 tff(48552,plain,
% 15.40/11.11 (until5(s196)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15764, 48551])).
% 15.40/11.11 tff(48553,plain,
% 15.40/11.11 (~node4(s196)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[14722, 36, 47574])).
% 15.40/11.11 tff(48554,plain,
% 15.40/11.11 (xuntil6(s196) | (~until5(s196))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15772, 294, 48553])).
% 15.40/11.11 tff(48555,plain,
% 15.40/11.11 (xuntil6(s196)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48554, 48552])).
% 15.40/11.11 tff(48556,plain,
% 15.40/11.11 (until5(s197)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15778, 48555])).
% 15.40/11.11 tff(48557,plain,
% 15.40/11.11 (~node4(s197)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15782, 36, 47573])).
% 15.40/11.11 tff(48558,plain,
% 15.40/11.11 (xuntil6(s197) | (~until5(s197))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15789, 294, 48557])).
% 15.40/11.11 tff(48559,plain,
% 15.40/11.11 (xuntil6(s197)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48558, 48556])).
% 15.40/11.11 tff(48560,plain,
% 15.40/11.11 (until5(s198)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15795, 48559])).
% 15.40/11.11 tff(48561,plain,
% 15.40/11.11 (~node4(s198)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15799, 36, 47572])).
% 15.40/11.11 tff(48562,plain,
% 15.40/11.11 (xuntil6(s198) | (~until5(s198))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15806, 294, 48561])).
% 15.40/11.11 tff(48563,plain,
% 15.40/11.11 (xuntil6(s198)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48562, 48560])).
% 15.40/11.11 tff(48564,plain,
% 15.40/11.11 (until5(s199)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15812, 48563])).
% 15.40/11.11 tff(48565,plain,
% 15.40/11.11 (~node4(s199)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15816, 36, 47571])).
% 15.40/11.11 tff(48566,plain,
% 15.40/11.11 (xuntil6(s199) | (~until5(s199))),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15823, 294, 48565])).
% 15.40/11.11 tff(48567,plain,
% 15.40/11.11 (xuntil6(s199)),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[48566, 48564])).
% 15.40/11.11 tff(48568,plain,
% 15.40/11.11 ($false),
% 15.40/11.11 inference(unit_resolution,[status(thm)],[15829, 48567, 47570])).
% 15.40/11.11 tff(48569,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 15.40/11.11 tff(48570,plain,
% 15.40/11.11 (((~loop) | trans(s399, s0) | trans(s399, s1) | trans(s399, s2) | trans(s399, s3) | trans(s399, s4) | trans(s399, s5) | trans(s399, s6) | trans(s399, s7) | trans(s399, s8) | trans(s399, s9) | trans(s399, s10) | trans(s399, s11) | trans(s399, s12) | trans(s399, s13) | trans(s399, s14) | trans(s399, s15) | trans(s399, s16) | trans(s399, s17) | trans(s399, s18) | trans(s399, s19) | trans(s399, s20) | trans(s399, s21) | trans(s399, s22) | trans(s399, s23) | trans(s399, s24) | trans(s399, s25) | trans(s399, s26) | trans(s399, s27) | trans(s399, s28) | trans(s399, s29) | trans(s399, s30) | trans(s399, s31) | trans(s399, s32) | trans(s399, s33) | trans(s399, s34) | trans(s399, s35) | trans(s399, s36) | trans(s399, s37) | trans(s399, s38) | trans(s399, s39) | trans(s399, s40) | trans(s399, s41) | trans(s399, s42) | trans(s399, s43) | trans(s399, s44) | trans(s399, s45) | trans(s399, s46) | trans(s399, s47) | trans(s399, s48) | trans(s399, s49) | trans(s399, s50) | trans(s399, s51) | trans(s399, s52) | trans(s399, s53) | trans(s399, s54) | trans(s399, s55) | trans(s399, s56) | trans(s399, s57) | trans(s399, s58) | trans(s399, s59) | trans(s399, s60) | trans(s399, s61) | trans(s399, s62) | trans(s399, s63) | trans(s399, s64) | trans(s399, s65) | trans(s399, s66) | trans(s399, s67) | trans(s399, s68) | trans(s399, s69) | trans(s399, s70) | trans(s399, s71) | trans(s399, s72) | trans(s399, s73) | trans(s399, s74) | trans(s399, s75) | trans(s399, s76) | trans(s399, s77) | trans(s399, s78) | trans(s399, s79) | trans(s399, s80) | trans(s399, s81) | trans(s399, s82) | trans(s399, s83) | trans(s399, s84) | trans(s399, s85) | trans(s399, s86) | trans(s399, s87) | trans(s399, s88) | trans(s399, s89) | trans(s399, s90) | trans(s399, s91) | trans(s399, s92) | trans(s399, s93) | trans(s399, s94) | trans(s399, s95) | trans(s399, s96) | trans(s399, s97) | trans(s399, s98) | trans(s399, s99) | trans(s399, s100) | trans(s399, s101) | trans(s399, s102) | trans(s399, s103) | trans(s399, s104) | trans(s399, s105) | trans(s399, s106) | trans(s399, s107) | trans(s399, s108) | trans(s399, s109) | trans(s399, s110) | trans(s399, s111) | trans(s399, s112) | trans(s399, s113) | trans(s399, s114) | trans(s399, s115) | trans(s399, s116) | trans(s399, s117) | trans(s399, s118) | trans(s399, s119) | trans(s399, s120) | trans(s399, s121) | trans(s399, s122) | trans(s399, s123) | trans(s399, s124) | trans(s399, s125) | trans(s399, s126) | trans(s399, s127) | trans(s399, s128) | trans(s399, s129) | trans(s399, s130) | trans(s399, s131) | trans(s399, s132) | trans(s399, s133) | trans(s399, s134) | trans(s399, s135) | trans(s399, s136) | trans(s399, s137) | trans(s399, s138) | trans(s399, s139) | trans(s399, s140) | trans(s399, s141) | trans(s399, s142) | trans(s399, s143) | trans(s399, s144) | trans(s399, s145) | trans(s399, s146) | trans(s399, s147) | trans(s399, s148) | trans(s399, s149) | trans(s399, s150) | trans(s399, s151) | trans(s399, s152) | trans(s399, s153) | trans(s399, s154) | trans(s399, s155) | trans(s399, s156) | trans(s399, s157) | trans(s399, s158) | trans(s399, s159) | trans(s399, s160) | trans(s399, s161) | trans(s399, s162) | trans(s399, s163) | trans(s399, s164) | trans(s399, s165) | trans(s399, s166) | trans(s399, s167) | trans(s399, s168) | trans(s399, s169) | trans(s399, s170) | trans(s399, s171) | trans(s399, s172) | trans(s399, s173) | trans(s399, s174) | trans(s399, s175) | trans(s399, s176) | trans(s399, s177) | trans(s399, s178) | trans(s399, s179) | trans(s399, s180) | trans(s399, s181) | trans(s399, s182) | trans(s399, s183) | trans(s399, s184) | trans(s399, s185) | trans(s399, s186) | trans(s399, s187) | trans(s399, s188) | trans(s399, s189) | trans(s399, s190) | trans(s399, s191) | trans(s399, s192) | trans(s399, s193) | trans(s399, s194) | trans(s399, s195) | trans(s399, s196) | trans(s399, s197) | trans(s399, s198) | trans(s399, s199) | trans(s399, s200) | trans(s399, s201) | trans(s399, s202) | trans(s399, s203) | trans(s399, s204) | trans(s399, s205) | trans(s399, s206) | trans(s399, s207) | trans(s399, s208) | trans(s399, s209) | trans(s399, s210) | trans(s399, s211) | trans(s399, s212) | trans(s399, s213) | trans(s399, s214) | trans(s399, s215) | trans(s399, s216) | trans(s399, s217) | trans(s399, s218) | trans(s399, s219) | trans(s399, s220) | trans(s399, s221) | trans(s399, s222) | trans(s399, s223) | trans(s399, s224) | trans(s399, s225) | trans(s399, s226) | trans(s399, s227) | trans(s399, s228) | trans(s399, s229) | trans(s399, s230) | trans(s399, s231) | trans(s399, s232) | trans(s399, s233) | trans(s399, s234) | trans(s399, s235) | trans(s399, s236) | trans(s399, s237) | trans(s399, s238) | trans(s399, s239) | trans(s399, s240) | trans(s399, s241) | trans(s399, s242) | trans(s399, s243) | trans(s399, s244) | trans(s399, s245) | trans(s399, s246) | trans(s399, s247) | trans(s399, s248) | trans(s399, s249) | trans(s399, s250) | trans(s399, s251) | trans(s399, s252) | trans(s399, s253) | trans(s399, s254) | trans(s399, s255) | trans(s399, s256) | trans(s399, s257) | trans(s399, s258) | trans(s399, s259) | trans(s399, s260) | trans(s399, s261) | trans(s399, s262) | trans(s399, s263) | trans(s399, s264) | trans(s399, s265) | trans(s399, s266) | trans(s399, s267) | trans(s399, s268) | trans(s399, s269) | trans(s399, s270) | trans(s399, s271) | trans(s399, s272) | trans(s399, s273) | trans(s399, s274) | trans(s399, s275) | trans(s399, s276) | trans(s399, s277) | trans(s399, s278) | trans(s399, s279) | trans(s399, s280) | trans(s399, s281) | trans(s399, s282) | trans(s399, s283) | trans(s399, s284) | trans(s399, s285) | trans(s399, s286) | trans(s399, s287) | trans(s399, s288) | trans(s399, s289) | trans(s399, s290) | trans(s399, s291) | trans(s399, s292) | trans(s399, s293) | trans(s399, s294) | trans(s399, s295) | trans(s399, s296) | trans(s399, s297) | trans(s399, s298) | trans(s399, s299) | trans(s399, s300) | trans(s399, s301) | trans(s399, s302) | trans(s399, s303) | trans(s399, s304) | trans(s399, s305) | trans(s399, s306) | trans(s399, s307) | trans(s399, s308) | trans(s399, s309) | trans(s399, s310) | trans(s399, s311) | trans(s399, s312) | trans(s399, s313) | trans(s399, s314) | trans(s399, s315) | trans(s399, s316) | trans(s399, s317) | trans(s399, s318) | trans(s399, s319) | trans(s399, s320) | trans(s399, s321) | trans(s399, s322) | trans(s399, s323) | trans(s399, s324) | trans(s399, s325) | trans(s399, s326) | trans(s399, s327) | trans(s399, s328) | trans(s399, s329) | trans(s399, s330) | trans(s399, s331) | trans(s399, s332) | trans(s399, s333) | trans(s399, s334) | trans(s399, s335) | trans(s399, s336) | trans(s399, s337) | trans(s399, s338) | trans(s399, s339) | trans(s399, s340) | trans(s399, s341) | trans(s399, s342) | trans(s399, s343) | trans(s399, s344) | trans(s399, s345) | trans(s399, s346) | trans(s399, s347) | trans(s399, s348) | trans(s399, s349) | trans(s399, s350) | trans(s399, s351) | trans(s399, s352) | trans(s399, s353) | trans(s399, s354) | trans(s399, s355) | trans(s399, s356) | trans(s399, s357) | trans(s399, s358) | trans(s399, s359) | trans(s399, s360) | trans(s399, s361) | trans(s399, s362) | trans(s399, s363) | trans(s399, s364) | trans(s399, s365) | trans(s399, s366) | trans(s399, s367) | trans(s399, s368) | trans(s399, s369) | trans(s399, s370) | trans(s399, s371) | trans(s399, s372) | trans(s399, s373) | trans(s399, s374) | trans(s399, s375) | trans(s399, s376) | trans(s399, s377) | trans(s399, s378) | trans(s399, s379) | trans(s399, s380) | trans(s399, s381) | trans(s399, s382) | trans(s399, s383) | trans(s399, s384) | trans(s399, s385) | trans(s399, s386) | trans(s399, s387) | trans(s399, s388) | trans(s399, s389) | trans(s399, s390) | trans(s399, s391) | trans(s399, s392) | trans(s399, s393) | trans(s399, s394) | trans(s399, s395) | trans(s399, s396) | trans(s399, s397) | trans(s399, s398) | trans(s399, s399)) <=> ((~loop) | trans(s399, s0) | trans(s399, s1) | trans(s399, s2) | trans(s399, s3) | trans(s399, s4) | trans(s399, s5) | trans(s399, s6) | trans(s399, s7) | trans(s399, s8) | trans(s399, s9) | trans(s399, s10) | trans(s399, s11) | trans(s399, s12) | trans(s399, s13) | trans(s399, s14) | trans(s399, s15) | trans(s399, s16) | trans(s399, s17) | trans(s399, s18) | trans(s399, s19) | trans(s399, s20) | trans(s399, s21) | trans(s399, s22) | trans(s399, s23) | trans(s399, s24) | trans(s399, s25) | trans(s399, s26) | trans(s399, s27) | trans(s399, s28) | trans(s399, s29) | trans(s399, s30) | trans(s399, s31) | trans(s399, s32) | trans(s399, s33) | trans(s399, s34) | trans(s399, s35) | trans(s399, s36) | trans(s399, s37) | trans(s399, s38) | trans(s399, s39) | trans(s399, s40) | trans(s399, s41) | trans(s399, s42) | trans(s399, s43) | trans(s399, s44) | trans(s399, s45) | trans(s399, s46) | trans(s399, s47) | trans(s399, s48) | trans(s399, s49) | trans(s399, s50) | trans(s399, s51) | trans(s399, s52) | trans(s399, s53) | trans(s399, s54) | trans(s399, s55) | trans(s399, s56) | trans(s399, s57) | trans(s399, s58) | trans(s399, s59) | trans(s399, s60) | trans(s399, s61) | trans(s399, s62) | trans(s399, s63) | trans(s399, s64) | trans(s399, s65) | trans(s399, s66) | trans(s399, s67) | trans(s399, s68) | trans(s399, s69) | trans(s399, s70) | trans(s399, s71) | trans(s399, s72) | trans(s399, s73) | trans(s399, s74) | trans(s399, s75) | trans(s399, s76) | trans(s399, s77) | trans(s399, s78) | trans(s399, s79) | trans(s399, s80) | trans(s399, s81) | trans(s399, s82) | trans(s399, s83) | trans(s399, s84) | trans(s399, s85) | trans(s399, s86) | trans(s399, s87) | trans(s399, s88) | trans(s399, s89) | trans(s399, s90) | trans(s399, s91) | trans(s399, s92) | trans(s399, s93) | trans(s399, s94) | trans(s399, s95) | trans(s399, s96) | trans(s399, s97) | trans(s399, s98) | trans(s399, s99) | trans(s399, s100) | trans(s399, s101) | trans(s399, s102) | trans(s399, s103) | trans(s399, s104) | trans(s399, s105) | trans(s399, s106) | trans(s399, s107) | trans(s399, s108) | trans(s399, s109) | trans(s399, s110) | trans(s399, s111) | trans(s399, s112) | trans(s399, s113) | trans(s399, s114) | trans(s399, s115) | trans(s399, s116) | trans(s399, s117) | trans(s399, s118) | trans(s399, s119) | trans(s399, s120) | trans(s399, s121) | trans(s399, s122) | trans(s399, s123) | trans(s399, s124) | trans(s399, s125) | trans(s399, s126) | trans(s399, s127) | trans(s399, s128) | trans(s399, s129) | trans(s399, s130) | trans(s399, s131) | trans(s399, s132) | trans(s399, s133) | trans(s399, s134) | trans(s399, s135) | trans(s399, s136) | trans(s399, s137) | trans(s399, s138) | trans(s399, s139) | trans(s399, s140) | trans(s399, s141) | trans(s399, s142) | trans(s399, s143) | trans(s399, s144) | trans(s399, s145) | trans(s399, s146) | trans(s399, s147) | trans(s399, s148) | trans(s399, s149) | trans(s399, s150) | trans(s399, s151) | trans(s399, s152) | trans(s399, s153) | trans(s399, s154) | trans(s399, s155) | trans(s399, s156) | trans(s399, s157) | trans(s399, s158) | trans(s399, s159) | trans(s399, s160) | trans(s399, s161) | trans(s399, s162) | trans(s399, s163) | trans(s399, s164) | trans(s399, s165) | trans(s399, s166) | trans(s399, s167) | trans(s399, s168) | trans(s399, s169) | trans(s399, s170) | trans(s399, s171) | trans(s399, s172) | trans(s399, s173) | trans(s399, s174) | trans(s399, s175) | trans(s399, s176) | trans(s399, s177) | trans(s399, s178) | trans(s399, s179) | trans(s399, s180) | trans(s399, s181) | trans(s399, s182) | trans(s399, s183) | trans(s399, s184) | trans(s399, s185) | trans(s399, s186) | trans(s399, s187) | trans(s399, s188) | trans(s399, s189) | trans(s399, s190) | trans(s399, s191) | trans(s399, s192) | trans(s399, s193) | trans(s399, s194) | trans(s399, s195) | trans(s399, s196) | trans(s399, s197) | trans(s399, s198) | trans(s399, s199) | trans(s399, s200) | trans(s399, s201) | trans(s399, s202) | trans(s399, s203) | trans(s399, s204) | trans(s399, s205) | trans(s399, s206) | trans(s399, s207) | trans(s399, s208) | trans(s399, s209) | trans(s399, s210) | trans(s399, s211) | trans(s399, s212) | trans(s399, s213) | trans(s399, s214) | trans(s399, s215) | trans(s399, s216) | trans(s399, s217) | trans(s399, s218) | trans(s399, s219) | trans(s399, s220) | trans(s399, s221) | trans(s399, s222) | trans(s399, s223) | trans(s399, s224) | trans(s399, s225) | trans(s399, s226) | trans(s399, s227) | trans(s399, s228) | trans(s399, s229) | trans(s399, s230) | trans(s399, s231) | trans(s399, s232) | trans(s399, s233) | trans(s399, s234) | trans(s399, s235) | trans(s399, s236) | trans(s399, s237) | trans(s399, s238) | trans(s399, s239) | trans(s399, s240) | trans(s399, s241) | trans(s399, s242) | trans(s399, s243) | trans(s399, s244) | trans(s399, s245) | trans(s399, s246) | trans(s399, s247) | trans(s399, s248) | trans(s399, s249) | trans(s399, s250) | trans(s399, s251) | trans(s399, s252) | trans(s399, s253) | trans(s399, s254) | trans(s399, s255) | trans(s399, s256) | trans(s399, s257) | trans(s399, s258) | trans(s399, s259) | trans(s399, s260) | trans(s399, s261) | trans(s399, s262) | trans(s399, s263) | trans(s399, s264) | trans(s399, s265) | trans(s399, s266) | trans(s399, s267) | trans(s399, s268) | trans(s399, s269) | trans(s399, s270) | trans(s399, s271) | trans(s399, s272) | trans(s399, s273) | trans(s399, s274) | trans(s399, s275) | trans(s399, s276) | trans(s399, s277) | trans(s399, s278) | trans(s399, s279) | trans(s399, s280) | trans(s399, s281) | trans(s399, s282) | trans(s399, s283) | trans(s399, s284) | trans(s399, s285) | trans(s399, s286) | trans(s399, s287) | trans(s399, s288) | trans(s399, s289) | trans(s399, s290) | trans(s399, s291) | trans(s399, s292) | trans(s399, s293) | trans(s399, s294) | trans(s399, s295) | trans(s399, s296) | trans(s399, s297) | trans(s399, s298) | trans(s399, s299) | trans(s399, s300) | trans(s399, s301) | trans(s399, s302) | trans(s399, s303) | trans(s399, s304) | trans(s399, s305) | trans(s399, s306) | trans(s399, s307) | trans(s399, s308) | trans(s399, s309) | trans(s399, s310) | trans(s399, s311) | trans(s399, s312) | trans(s399, s313) | trans(s399, s314) | trans(s399, s315) | trans(s399, s316) | trans(s399, s317) | trans(s399, s318) | trans(s399, s319) | trans(s399, s320) | trans(s399, s321) | trans(s399, s322) | trans(s399, s323) | trans(s399, s324) | trans(s399, s325) | trans(s399, s326) | trans(s399, s327) | trans(s399, s328) | trans(s399, s329) | trans(s399, s330) | trans(s399, s331) | trans(s399, s332) | trans(s399, s333) | trans(s399, s334) | trans(s399, s335) | trans(s399, s336) | trans(s399, s337) | trans(s399, s338) | trans(s399, s339) | trans(s399, s340) | trans(s399, s341) | trans(s399, s342) | trans(s399, s343) | trans(s399, s344) | trans(s399, s345) | trans(s399, s346) | trans(s399, s347) | trans(s399, s348) | trans(s399, s349) | trans(s399, s350) | trans(s399, s351) | trans(s399, s352) | trans(s399, s353) | trans(s399, s354) | trans(s399, s355) | trans(s399, s356) | trans(s399, s357) | trans(s399, s358) | trans(s399, s359) | trans(s399, s360) | trans(s399, s361) | trans(s399, s362) | trans(s399, s363) | trans(s399, s364) | trans(s399, s365) | trans(s399, s366) | trans(s399, s367) | trans(s399, s368) | trans(s399, s369) | trans(s399, s370) | trans(s399, s371) | trans(s399, s372) | trans(s399, s373) | trans(s399, s374) | trans(s399, s375) | trans(s399, s376) | trans(s399, s377) | trans(s399, s378) | trans(s399, s379) | trans(s399, s380) | trans(s399, s381) | trans(s399, s382) | trans(s399, s383) | trans(s399, s384) | trans(s399, s385) | trans(s399, s386) | trans(s399, s387) | trans(s399, s388) | trans(s399, s389) | trans(s399, s390) | trans(s399, s391) | trans(s399, s392) | trans(s399, s393) | trans(s399, s394) | trans(s399, s395) | trans(s399, s396) | trans(s399, s397) | trans(s399, s398) | trans(s399, s399))),
% 15.41/11.12 inference(rewrite,[status(thm)],[])).
% 15.41/11.12 tff(48571,plain,
% 15.41/11.12 ((((~loop) | trans(s399, s0) | trans(s399, s1) | trans(s399, s2) | trans(s399, s3) | trans(s399, s4) | trans(s399, s5) | trans(s399, s6) | trans(s399, s7) | trans(s399, s8) | trans(s399, s9) | trans(s399, s10) | trans(s399, s11) | trans(s399, s12) | trans(s399, s13) | trans(s399, s14) | trans(s399, s15) | trans(s399, s16) | trans(s399, s17) | trans(s399, s18) | trans(s399, s19) | trans(s399, s20) | trans(s399, s21) | trans(s399, s22) | trans(s399, s23) | trans(s399, s24) | trans(s399, s25) | trans(s399, s26) | trans(s399, s27) | trans(s399, s28) | trans(s399, s29) | trans(s399, s30) | trans(s399, s31) | trans(s399, s32) | trans(s399, s33) | trans(s399, s34) | trans(s399, s35) | trans(s399, s36) | trans(s399, s37) | trans(s399, s38) | trans(s399, s39) | trans(s399, s40) | trans(s399, s41) | trans(s399, s42) | trans(s399, s43) | trans(s399, s44) | trans(s399, s45) | trans(s399, s46) | trans(s399, s47) | trans(s399, s48) | trans(s399, s49) | trans(s399, s50) | trans(s399, s51) | trans(s399, s52) | trans(s399, s53) | trans(s399, s54) | trans(s399, s55) | trans(s399, s56) | trans(s399, s57) | trans(s399, s58) | trans(s399, s59) | trans(s399, s60) | trans(s399, s61) | trans(s399, s62) | trans(s399, s63) | trans(s399, s64) | trans(s399, s65) | trans(s399, s66) | trans(s399, s67) | trans(s399, s68) | trans(s399, s69) | trans(s399, s70) | trans(s399, s71) | trans(s399, s72) | trans(s399, s73) | trans(s399, s74) | trans(s399, s75) | trans(s399, s76) | trans(s399, s77) | trans(s399, s78) | trans(s399, s79) | trans(s399, s80) | trans(s399, s81) | trans(s399, s82) | trans(s399, s83) | trans(s399, s84) | trans(s399, s85) | trans(s399, s86) | trans(s399, s87) | trans(s399, s88) | trans(s399, s89) | trans(s399, s90) | trans(s399, s91) | trans(s399, s92) | trans(s399, s93) | trans(s399, s94) | trans(s399, s95) | trans(s399, s96) | trans(s399, s97) | trans(s399, s98) | trans(s399, s99) | trans(s399, s100) | trans(s399, s101) | trans(s399, s102) | trans(s399, s103) | trans(s399, s104) | trans(s399, s105) | trans(s399, s106) | trans(s399, s107) | trans(s399, s108) | trans(s399, s109) | trans(s399, s110) | trans(s399, s111) | trans(s399, s112) | trans(s399, s113) | trans(s399, s114) | trans(s399, s115) | trans(s399, s116) | trans(s399, s117) | trans(s399, s118) | trans(s399, s119) | trans(s399, s120) | trans(s399, s121) | trans(s399, s122) | trans(s399, s123) | trans(s399, s124) | trans(s399, s125) | trans(s399, s126) | trans(s399, s127) | trans(s399, s128) | trans(s399, s129) | trans(s399, s130) | trans(s399, s131) | trans(s399, s132) | trans(s399, s133) | trans(s399, s134) | trans(s399, s135) | trans(s399, s136) | trans(s399, s137) | trans(s399, s138) | trans(s399, s139) | trans(s399, s140) | trans(s399, s141) | trans(s399, s142) | trans(s399, s143) | trans(s399, s144) | trans(s399, s145) | trans(s399, s146) | trans(s399, s147) | trans(s399, s148) | trans(s399, s149) | trans(s399, s150) | trans(s399, s151) | trans(s399, s152) | trans(s399, s153) | trans(s399, s154) | trans(s399, s155) | trans(s399, s156) | trans(s399, s157) | trans(s399, s158) | trans(s399, s159) | trans(s399, s160) | trans(s399, s161) | trans(s399, s162) | trans(s399, s163) | trans(s399, s164) | trans(s399, s165) | trans(s399, s166) | trans(s399, s167) | trans(s399, s168) | trans(s399, s169) | trans(s399, s170) | trans(s399, s171) | trans(s399, s172) | trans(s399, s173) | trans(s399, s174) | trans(s399, s175) | trans(s399, s176) | trans(s399, s177) | trans(s399, s178) | trans(s399, s179) | trans(s399, s180) | trans(s399, s181) | trans(s399, s182) | trans(s399, s183) | trans(s399, s184) | trans(s399, s185) | trans(s399, s186) | trans(s399, s187) | trans(s399, s188) | trans(s399, s189) | trans(s399, s190) | trans(s399, s191) | trans(s399, s192) | trans(s399, s193) | trans(s399, s194) | trans(s399, s195) | trans(s399, s196) | trans(s399, s197) | trans(s399, s198) | trans(s399, s199) | trans(s399, s200) | trans(s399, s201) | trans(s399, s202) | trans(s399, s203) | trans(s399, s204) | trans(s399, s205) | trans(s399, s206) | trans(s399, s207) | trans(s399, s208) | trans(s399, s209) | trans(s399, s210) | trans(s399, s211) | trans(s399, s212) | trans(s399, s213) | trans(s399, s214) | trans(s399, s215) | trans(s399, s216) | trans(s399, s217) | trans(s399, s218) | trans(s399, s219) | trans(s399, s220) | trans(s399, s221) | trans(s399, s222) | trans(s399, s223) | trans(s399, s224) | trans(s399, s225) | trans(s399, s226) | trans(s399, s227) | trans(s399, s228) | trans(s399, s229) | trans(s399, s230) | trans(s399, s231) | trans(s399, s232) | trans(s399, s233) | trans(s399, s234) | trans(s399, s235) | trans(s399, s236) | trans(s399, s237) | trans(s399, s238) | trans(s399, s239) | trans(s399, s240) | trans(s399, s241) | trans(s399, s242) | trans(s399, s243) | trans(s399, s244) | trans(s399, s245) | trans(s399, s246) | trans(s399, s247) | trans(s399, s248) | trans(s399, s249) | trans(s399, s250) | trans(s399, s251) | trans(s399, s252) | trans(s399, s253) | trans(s399, s254) | trans(s399, s255) | trans(s399, s256) | trans(s399, s257) | trans(s399, s258) | trans(s399, s259) | trans(s399, s260) | trans(s399, s261) | trans(s399, s262) | trans(s399, s263) | trans(s399, s264) | trans(s399, s265) | trans(s399, s266) | trans(s399, s267) | trans(s399, s268) | trans(s399, s269) | trans(s399, s270) | trans(s399, s271) | trans(s399, s272) | trans(s399, s273) | trans(s399, s274) | trans(s399, s275) | trans(s399, s276) | trans(s399, s277) | trans(s399, s278) | trans(s399, s279) | trans(s399, s280) | trans(s399, s281) | trans(s399, s282) | trans(s399, s283) | trans(s399, s284) | trans(s399, s285) | trans(s399, s286) | trans(s399, s287) | trans(s399, s288) | trans(s399, s289) | trans(s399, s290) | trans(s399, s291) | trans(s399, s292) | trans(s399, s293) | trans(s399, s294) | trans(s399, s295) | trans(s399, s296) | trans(s399, s297) | trans(s399, s298) | trans(s399, s299) | trans(s399, s300) | trans(s399, s301) | trans(s399, s302) | trans(s399, s303) | trans(s399, s304) | trans(s399, s305) | trans(s399, s306) | trans(s399, s307) | trans(s399, s308) | trans(s399, s309) | trans(s399, s310) | trans(s399, s311) | trans(s399, s312) | trans(s399, s313) | trans(s399, s314) | trans(s399, s315) | trans(s399, s316) | trans(s399, s317) | trans(s399, s318) | trans(s399, s319) | trans(s399, s320) | trans(s399, s321) | trans(s399, s322) | trans(s399, s323) | trans(s399, s324) | trans(s399, s325) | trans(s399, s326) | trans(s399, s327) | trans(s399, s328) | trans(s399, s329) | trans(s399, s330) | trans(s399, s331) | trans(s399, s332) | trans(s399, s333) | trans(s399, s334) | trans(s399, s335) | trans(s399, s336) | trans(s399, s337) | trans(s399, s338) | trans(s399, s339) | trans(s399, s340) | trans(s399, s341) | trans(s399, s342) | trans(s399, s343) | trans(s399, s344) | trans(s399, s345) | trans(s399, s346) | trans(s399, s347) | trans(s399, s348) | trans(s399, s349) | trans(s399, s350) | trans(s399, s351) | trans(s399, s352) | trans(s399, s353) | trans(s399, s354) | trans(s399, s355) | trans(s399, s356) | trans(s399, s357) | trans(s399, s358) | trans(s399, s359) | trans(s399, s360) | trans(s399, s361) | trans(s399, s362) | trans(s399, s363) | trans(s399, s364) | trans(s399, s365) | trans(s399, s366) | trans(s399, s367) | trans(s399, s368) | trans(s399, s369) | trans(s399, s370) | trans(s399, s371) | trans(s399, s372) | trans(s399, s373) | trans(s399, s374) | trans(s399, s375) | trans(s399, s376) | trans(s399, s377) | trans(s399, s378) | trans(s399, s379) | trans(s399, s380) | trans(s399, s381) | trans(s399, s382) | trans(s399, s383) | trans(s399, s384) | trans(s399, s385) | trans(s399, s386) | trans(s399, s387) | trans(s399, s388) | trans(s399, s389) | trans(s399, s390) | trans(s399, s391) | trans(s399, s392) | trans(s399, s393) | trans(s399, s394) | trans(s399, s395) | trans(s399, s396) | trans(s399, s397) | trans(s399, s398)) | trans(s399, s399)) <=> ((~loop) | trans(s399, s0) | trans(s399, s1) | trans(s399, s2) | trans(s399, s3) | trans(s399, s4) | trans(s399, s5) | trans(s399, s6) | trans(s399, s7) | trans(s399, s8) | trans(s399, s9) | trans(s399, s10) | trans(s399, s11) | trans(s399, s12) | trans(s399, s13) | trans(s399, s14) | trans(s399, s15) | trans(s399, s16) | trans(s399, s17) | trans(s399, s18) | trans(s399, s19) | trans(s399, s20) | trans(s399, s21) | trans(s399, s22) | trans(s399, s23) | trans(s399, s24) | trans(s399, s25) | trans(s399, s26) | trans(s399, s27) | trans(s399, s28) | trans(s399, s29) | trans(s399, s30) | trans(s399, s31) | trans(s399, s32) | trans(s399, s33) | trans(s399, s34) | trans(s399, s35) | trans(s399, s36) | trans(s399, s37) | trans(s399, s38) | trans(s399, s39) | trans(s399, s40) | trans(s399, s41) | trans(s399, s42) | trans(s399, s43) | trans(s399, s44) | trans(s399, s45) | trans(s399, s46) | trans(s399, s47) | trans(s399, s48) | trans(s399, s49) | trans(s399, s50) | trans(s399, s51) | trans(s399, s52) | trans(s399, s53) | trans(s399, s54) | trans(s399, s55) | trans(s399, s56) | trans(s399, s57) | trans(s399, s58) | trans(s399, s59) | trans(s399, s60) | trans(s399, s61) | trans(s399, s62) | trans(s399, s63) | trans(s399, s64) | trans(s399, s65) | trans(s399, s66) | trans(s399, s67) | trans(s399, s68) | trans(s399, s69) | trans(s399, s70) | trans(s399, s71) | trans(s399, s72) | trans(s399, s73) | trans(s399, s74) | trans(s399, s75) | trans(s399, s76) | trans(s399, s77) | trans(s399, s78) | trans(s399, s79) | trans(s399, s80) | trans(s399, s81) | trans(s399, s82) | trans(s399, s83) | trans(s399, s84) | trans(s399, s85) | trans(s399, s86) | trans(s399, s87) | trans(s399, s88) | trans(s399, s89) | trans(s399, s90) | trans(s399, s91) | trans(s399, s92) | trans(s399, s93) | trans(s399, s94) | trans(s399, s95) | trans(s399, s96) | trans(s399, s97) | trans(s399, s98) | trans(s399, s99) | trans(s399, s100) | trans(s399, s101) | trans(s399, s102) | trans(s399, s103) | trans(s399, s104) | trans(s399, s105) | trans(s399, s106) | trans(s399, s107) | trans(s399, s108) | trans(s399, s109) | trans(s399, s110) | trans(s399, s111) | trans(s399, s112) | trans(s399, s113) | trans(s399, s114) | trans(s399, s115) | trans(s399, s116) | trans(s399, s117) | trans(s399, s118) | trans(s399, s119) | trans(s399, s120) | trans(s399, s121) | trans(s399, s122) | trans(s399, s123) | trans(s399, s124) | trans(s399, s125) | trans(s399, s126) | trans(s399, s127) | trans(s399, s128) | trans(s399, s129) | trans(s399, s130) | trans(s399, s131) | trans(s399, s132) | trans(s399, s133) | trans(s399, s134) | trans(s399, s135) | trans(s399, s136) | trans(s399, s137) | trans(s399, s138) | trans(s399, s139) | trans(s399, s140) | trans(s399, s141) | trans(s399, s142) | trans(s399, s143) | trans(s399, s144) | trans(s399, s145) | trans(s399, s146) | trans(s399, s147) | trans(s399, s148) | trans(s399, s149) | trans(s399, s150) | trans(s399, s151) | trans(s399, s152) | trans(s399, s153) | trans(s399, s154) | trans(s399, s155) | trans(s399, s156) | trans(s399, s157) | trans(s399, s158) | trans(s399, s159) | trans(s399, s160) | trans(s399, s161) | trans(s399, s162) | trans(s399, s163) | trans(s399, s164) | trans(s399, s165) | trans(s399, s166) | trans(s399, s167) | trans(s399, s168) | trans(s399, s169) | trans(s399, s170) | trans(s399, s171) | trans(s399, s172) | trans(s399, s173) | trans(s399, s174) | trans(s399, s175) | trans(s399, s176) | trans(s399, s177) | trans(s399, s178) | trans(s399, s179) | trans(s399, s180) | trans(s399, s181) | trans(s399, s182) | trans(s399, s183) | trans(s399, s184) | trans(s399, s185) | trans(s399, s186) | trans(s399, s187) | trans(s399, s188) | trans(s399, s189) | trans(s399, s190) | trans(s399, s191) | trans(s399, s192) | trans(s399, s193) | trans(s399, s194) | trans(s399, s195) | trans(s399, s196) | trans(s399, s197) | trans(s399, s198) | trans(s399, s199) | trans(s399, s200) | trans(s399, s201) | trans(s399, s202) | trans(s399, s203) | trans(s399, s204) | trans(s399, s205) | trans(s399, s206) | trans(s399, s207) | trans(s399, s208) | trans(s399, s209) | trans(s399, s210) | trans(s399, s211) | trans(s399, s212) | trans(s399, s213) | trans(s399, s214) | trans(s399, s215) | trans(s399, s216) | trans(s399, s217) | trans(s399, s218) | trans(s399, s219) | trans(s399, s220) | trans(s399, s221) | trans(s399, s222) | trans(s399, s223) | trans(s399, s224) | trans(s399, s225) | trans(s399, s226) | trans(s399, s227) | trans(s399, s228) | trans(s399, s229) | trans(s399, s230) | trans(s399, s231) | trans(s399, s232) | trans(s399, s233) | trans(s399, s234) | trans(s399, s235) | trans(s399, s236) | trans(s399, s237) | trans(s399, s238) | trans(s399, s239) | trans(s399, s240) | trans(s399, s241) | trans(s399, s242) | trans(s399, s243) | trans(s399, s244) | trans(s399, s245) | trans(s399, s246) | trans(s399, s247) | trans(s399, s248) | trans(s399, s249) | trans(s399, s250) | trans(s399, s251) | trans(s399, s252) | trans(s399, s253) | trans(s399, s254) | trans(s399, s255) | trans(s399, s256) | trans(s399, s257) | trans(s399, s258) | trans(s399, s259) | trans(s399, s260) | trans(s399, s261) | trans(s399, s262) | trans(s399, s263) | trans(s399, s264) | trans(s399, s265) | trans(s399, s266) | trans(s399, s267) | trans(s399, s268) | trans(s399, s269) | trans(s399, s270) | trans(s399, s271) | trans(s399, s272) | trans(s399, s273) | trans(s399, s274) | trans(s399, s275) | trans(s399, s276) | trans(s399, s277) | trans(s399, s278) | trans(s399, s279) | trans(s399, s280) | trans(s399, s281) | trans(s399, s282) | trans(s399, s283) | trans(s399, s284) | trans(s399, s285) | trans(s399, s286) | trans(s399, s287) | trans(s399, s288) | trans(s399, s289) | trans(s399, s290) | trans(s399, s291) | trans(s399, s292) | trans(s399, s293) | trans(s399, s294) | trans(s399, s295) | trans(s399, s296) | trans(s399, s297) | trans(s399, s298) | trans(s399, s299) | trans(s399, s300) | trans(s399, s301) | trans(s399, s302) | trans(s399, s303) | trans(s399, s304) | trans(s399, s305) | trans(s399, s306) | trans(s399, s307) | trans(s399, s308) | trans(s399, s309) | trans(s399, s310) | trans(s399, s311) | trans(s399, s312) | trans(s399, s313) | trans(s399, s314) | trans(s399, s315) | trans(s399, s316) | trans(s399, s317) | trans(s399, s318) | trans(s399, s319) | trans(s399, s320) | trans(s399, s321) | trans(s399, s322) | trans(s399, s323) | trans(s399, s324) | trans(s399, s325) | trans(s399, s326) | trans(s399, s327) | trans(s399, s328) | trans(s399, s329) | trans(s399, s330) | trans(s399, s331) | trans(s399, s332) | trans(s399, s333) | trans(s399, s334) | trans(s399, s335) | trans(s399, s336) | trans(s399, s337) | trans(s399, s338) | trans(s399, s339) | trans(s399, s340) | trans(s399, s341) | trans(s399, s342) | trans(s399, s343) | trans(s399, s344) | trans(s399, s345) | trans(s399, s346) | trans(s399, s347) | trans(s399, s348) | trans(s399, s349) | trans(s399, s350) | trans(s399, s351) | trans(s399, s352) | trans(s399, s353) | trans(s399, s354) | trans(s399, s355) | trans(s399, s356) | trans(s399, s357) | trans(s399, s358) | trans(s399, s359) | trans(s399, s360) | trans(s399, s361) | trans(s399, s362) | trans(s399, s363) | trans(s399, s364) | trans(s399, s365) | trans(s399, s366) | trans(s399, s367) | trans(s399, s368) | trans(s399, s369) | trans(s399, s370) | trans(s399, s371) | trans(s399, s372) | trans(s399, s373) | trans(s399, s374) | trans(s399, s375) | trans(s399, s376) | trans(s399, s377) | trans(s399, s378) | trans(s399, s379) | trans(s399, s380) | trans(s399, s381) | trans(s399, s382) | trans(s399, s383) | trans(s399, s384) | trans(s399, s385) | trans(s399, s386) | trans(s399, s387) | trans(s399, s388) | trans(s399, s389) | trans(s399, s390) | trans(s399, s391) | trans(s399, s392) | trans(s399, s393) | trans(s399, s394) | trans(s399, s395) | trans(s399, s396) | trans(s399, s397) | trans(s399, s398) | trans(s399, s399))),
% 15.41/11.13 inference(rewrite,[status(thm)],[])).
% 15.41/11.13 tff(48572,plain,
% 15.41/11.13 ((((~loop) | trans(s399, s0) | trans(s399, s1) | trans(s399, s2) | trans(s399, s3) | trans(s399, s4) | trans(s399, s5) | trans(s399, s6) | trans(s399, s7) | trans(s399, s8) | trans(s399, s9) | trans(s399, s10) | trans(s399, s11) | trans(s399, s12) | trans(s399, s13) | trans(s399, s14) | trans(s399, s15) | trans(s399, s16) | trans(s399, s17) | trans(s399, s18) | trans(s399, s19) | trans(s399, s20) | trans(s399, s21) | trans(s399, s22) | trans(s399, s23) | trans(s399, s24) | trans(s399, s25) | trans(s399, s26) | trans(s399, s27) | trans(s399, s28) | trans(s399, s29) | trans(s399, s30) | trans(s399, s31) | trans(s399, s32) | trans(s399, s33) | trans(s399, s34) | trans(s399, s35) | trans(s399, s36) | trans(s399, s37) | trans(s399, s38) | trans(s399, s39) | trans(s399, s40) | trans(s399, s41) | trans(s399, s42) | trans(s399, s43) | trans(s399, s44) | trans(s399, s45) | trans(s399, s46) | trans(s399, s47) | trans(s399, s48) | trans(s399, s49) | trans(s399, s50) | trans(s399, s51) | trans(s399, s52) | trans(s399, s53) | trans(s399, s54) | trans(s399, s55) | trans(s399, s56) | trans(s399, s57) | trans(s399, s58) | trans(s399, s59) | trans(s399, s60) | trans(s399, s61) | trans(s399, s62) | trans(s399, s63) | trans(s399, s64) | trans(s399, s65) | trans(s399, s66) | trans(s399, s67) | trans(s399, s68) | trans(s399, s69) | trans(s399, s70) | trans(s399, s71) | trans(s399, s72) | trans(s399, s73) | trans(s399, s74) | trans(s399, s75) | trans(s399, s76) | trans(s399, s77) | trans(s399, s78) | trans(s399, s79) | trans(s399, s80) | trans(s399, s81) | trans(s399, s82) | trans(s399, s83) | trans(s399, s84) | trans(s399, s85) | trans(s399, s86) | trans(s399, s87) | trans(s399, s88) | trans(s399, s89) | trans(s399, s90) | trans(s399, s91) | trans(s399, s92) | trans(s399, s93) | trans(s399, s94) | trans(s399, s95) | trans(s399, s96) | trans(s399, s97) | trans(s399, s98) | trans(s399, s99) | trans(s399, s100) | trans(s399, s101) | trans(s399, s102) | trans(s399, s103) | trans(s399, s104) | trans(s399, s105) | trans(s399, s106) | trans(s399, s107) | trans(s399, s108) | trans(s399, s109) | trans(s399, s110) | trans(s399, s111) | trans(s399, s112) | trans(s399, s113) | trans(s399, s114) | trans(s399, s115) | trans(s399, s116) | trans(s399, s117) | trans(s399, s118) | trans(s399, s119) | trans(s399, s120) | trans(s399, s121) | trans(s399, s122) | trans(s399, s123) | trans(s399, s124) | trans(s399, s125) | trans(s399, s126) | trans(s399, s127) | trans(s399, s128) | trans(s399, s129) | trans(s399, s130) | trans(s399, s131) | trans(s399, s132) | trans(s399, s133) | trans(s399, s134) | trans(s399, s135) | trans(s399, s136) | trans(s399, s137) | trans(s399, s138) | trans(s399, s139) | trans(s399, s140) | trans(s399, s141) | trans(s399, s142) | trans(s399, s143) | trans(s399, s144) | trans(s399, s145) | trans(s399, s146) | trans(s399, s147) | trans(s399, s148) | trans(s399, s149) | trans(s399, s150) | trans(s399, s151) | trans(s399, s152) | trans(s399, s153) | trans(s399, s154) | trans(s399, s155) | trans(s399, s156) | trans(s399, s157) | trans(s399, s158) | trans(s399, s159) | trans(s399, s160) | trans(s399, s161) | trans(s399, s162) | trans(s399, s163) | trans(s399, s164) | trans(s399, s165) | trans(s399, s166) | trans(s399, s167) | trans(s399, s168) | trans(s399, s169) | trans(s399, s170) | trans(s399, s171) | trans(s399, s172) | trans(s399, s173) | trans(s399, s174) | trans(s399, s175) | trans(s399, s176) | trans(s399, s177) | trans(s399, s178) | trans(s399, s179) | trans(s399, s180) | trans(s399, s181) | trans(s399, s182) | trans(s399, s183) | trans(s399, s184) | trans(s399, s185) | trans(s399, s186) | trans(s399, s187) | trans(s399, s188) | trans(s399, s189) | trans(s399, s190) | trans(s399, s191) | trans(s399, s192) | trans(s399, s193) | trans(s399, s194) | trans(s399, s195) | trans(s399, s196) | trans(s399, s197) | trans(s399, s198) | trans(s399, s199) | trans(s399, s200) | trans(s399, s201) | trans(s399, s202) | trans(s399, s203) | trans(s399, s204) | trans(s399, s205) | trans(s399, s206) | trans(s399, s207) | trans(s399, s208) | trans(s399, s209) | trans(s399, s210) | trans(s399, s211) | trans(s399, s212) | trans(s399, s213) | trans(s399, s214) | trans(s399, s215) | trans(s399, s216) | trans(s399, s217) | trans(s399, s218) | trans(s399, s219) | trans(s399, s220) | trans(s399, s221) | trans(s399, s222) | trans(s399, s223) | trans(s399, s224) | trans(s399, s225) | trans(s399, s226) | trans(s399, s227) | trans(s399, s228) | trans(s399, s229) | trans(s399, s230) | trans(s399, s231) | trans(s399, s232) | trans(s399, s233) | trans(s399, s234) | trans(s399, s235) | trans(s399, s236) | trans(s399, s237) | trans(s399, s238) | trans(s399, s239) | trans(s399, s240) | trans(s399, s241) | trans(s399, s242) | trans(s399, s243) | trans(s399, s244) | trans(s399, s245) | trans(s399, s246) | trans(s399, s247) | trans(s399, s248) | trans(s399, s249) | trans(s399, s250) | trans(s399, s251) | trans(s399, s252) | trans(s399, s253) | trans(s399, s254) | trans(s399, s255) | trans(s399, s256) | trans(s399, s257) | trans(s399, s258) | trans(s399, s259) | trans(s399, s260) | trans(s399, s261) | trans(s399, s262) | trans(s399, s263) | trans(s399, s264) | trans(s399, s265) | trans(s399, s266) | trans(s399, s267) | trans(s399, s268) | trans(s399, s269) | trans(s399, s270) | trans(s399, s271) | trans(s399, s272) | trans(s399, s273) | trans(s399, s274) | trans(s399, s275) | trans(s399, s276) | trans(s399, s277) | trans(s399, s278) | trans(s399, s279) | trans(s399, s280) | trans(s399, s281) | trans(s399, s282) | trans(s399, s283) | trans(s399, s284) | trans(s399, s285) | trans(s399, s286) | trans(s399, s287) | trans(s399, s288) | trans(s399, s289) | trans(s399, s290) | trans(s399, s291) | trans(s399, s292) | trans(s399, s293) | trans(s399, s294) | trans(s399, s295) | trans(s399, s296) | trans(s399, s297) | trans(s399, s298) | trans(s399, s299) | trans(s399, s300) | trans(s399, s301) | trans(s399, s302) | trans(s399, s303) | trans(s399, s304) | trans(s399, s305) | trans(s399, s306) | trans(s399, s307) | trans(s399, s308) | trans(s399, s309) | trans(s399, s310) | trans(s399, s311) | trans(s399, s312) | trans(s399, s313) | trans(s399, s314) | trans(s399, s315) | trans(s399, s316) | trans(s399, s317) | trans(s399, s318) | trans(s399, s319) | trans(s399, s320) | trans(s399, s321) | trans(s399, s322) | trans(s399, s323) | trans(s399, s324) | trans(s399, s325) | trans(s399, s326) | trans(s399, s327) | trans(s399, s328) | trans(s399, s329) | trans(s399, s330) | trans(s399, s331) | trans(s399, s332) | trans(s399, s333) | trans(s399, s334) | trans(s399, s335) | trans(s399, s336) | trans(s399, s337) | trans(s399, s338) | trans(s399, s339) | trans(s399, s340) | trans(s399, s341) | trans(s399, s342) | trans(s399, s343) | trans(s399, s344) | trans(s399, s345) | trans(s399, s346) | trans(s399, s347) | trans(s399, s348) | trans(s399, s349) | trans(s399, s350) | trans(s399, s351) | trans(s399, s352) | trans(s399, s353) | trans(s399, s354) | trans(s399, s355) | trans(s399, s356) | trans(s399, s357) | trans(s399, s358) | trans(s399, s359) | trans(s399, s360) | trans(s399, s361) | trans(s399, s362) | trans(s399, s363) | trans(s399, s364) | trans(s399, s365) | trans(s399, s366) | trans(s399, s367) | trans(s399, s368) | trans(s399, s369) | trans(s399, s370) | trans(s399, s371) | trans(s399, s372) | trans(s399, s373) | trans(s399, s374) | trans(s399, s375) | trans(s399, s376) | trans(s399, s377) | trans(s399, s378) | trans(s399, s379) | trans(s399, s380) | trans(s399, s381) | trans(s399, s382) | trans(s399, s383) | trans(s399, s384) | trans(s399, s385) | trans(s399, s386) | trans(s399, s387) | trans(s399, s388) | trans(s399, s389) | trans(s399, s390) | trans(s399, s391) | trans(s399, s392) | trans(s399, s393) | trans(s399, s394) | trans(s399, s395) | trans(s399, s396) | trans(s399, s397)) | trans(s399, s398)) <=> ((~loop) | trans(s399, s0) | trans(s399, s1) | trans(s399, s2) | trans(s399, s3) | trans(s399, s4) | trans(s399, s5) | trans(s399, s6) | trans(s399, s7) | trans(s399, s8) | trans(s399, s9) | trans(s399, s10) | trans(s399, s11) | trans(s399, s12) | trans(s399, s13) | trans(s399, s14) | trans(s399, s15) | trans(s399, s16) | trans(s399, s17) | trans(s399, s18) | trans(s399, s19) | trans(s399, s20) | trans(s399, s21) | trans(s399, s22) | trans(s399, s23) | trans(s399, s24) | trans(s399, s25) | trans(s399, s26) | trans(s399, s27) | trans(s399, s28) | trans(s399, s29) | trans(s399, s30) | trans(s399, s31) | trans(s399, s32) | trans(s399, s33) | trans(s399, s34) | trans(s399, s35) | trans(s399, s36) | trans(s399, s37) | trans(s399, s38) | trans(s399, s39) | trans(s399, s40) | trans(s399, s41) | trans(s399, s42) | trans(s399, s43) | trans(s399, s44) | trans(s399, s45) | trans(s399, s46) | trans(s399, s47) | trans(s399, s48) | trans(s399, s49) | trans(s399, s50) | trans(s399, s51) | trans(s3